Finite Group Databasebeta

← #8094783

Subgroups — #8094783

Order 512.

4768 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53114C212yesmaximal, complemented
2#53113C212yesmaximal, complemented
3#53099C212yesmaximal, complemented
4#53084C212yesmaximal, complemented
5#53083C212yesmaximal, complemented
6#53001C212yesmaximal, complemented
7#52999C212yesmaximal, complemented
8#52989C212yesmaximal, complemented
9#52344C214yesmaximal, complemented
10#52318C214yesmaximal, complemented
11#46345C212yesmaximal, complemented
12#46343C212yesmaximal, complemented
13#46341C212yesmaximal, complemented
14#46329C212yesmaximal, complemented
15#46062C212yesmaximal, complemented
16#46049C212yesmaximal, complemented
17#46019C212yesmaximal, complemented
18#45993C212yesmaximal, complemented
19#45531C214yesmaximal, complemented
20#45446C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35574C211yesmaximal, characteristic, complemented
23#35556C211yesmaximal, characteristic
24#35543C211yesmaximal, characteristic, complemented
25#35531C211yesmaximal, characteristic
26#35519C211yesmaximal, characteristic, complemented
27#35281C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35266C211yesmaximal, characteristic, complemented
30#35266C211yesmaximal, characteristic, complemented
31#35172C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic
33#34938C211yesmaximal, characteristic, complemented
34#34816C211yesmaximal, characteristic, complemented
35C2×#2452C211yesmaximal, characteristic, complemented
36C2×#563C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2212yes—
42C2×#520C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2868C2212yescomplemented
45#2863C2212yescomplemented
46#2862C2212yescomplemented
47#2860C2212yes—
48#2860C2212yes—
49#2860C2212yes—
50#2860C2212yes—
51#2860C2212yescomplemented
52#2849C2214yes—
53#2848C2214yes—
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2836C2214yescomplemented
57#2836C2214yescomplemented
58#2834C2214yescomplemented
59#2832C2214yescomplemented
60#2832C2214yescomplemented
61#2831C2214yescomplemented
62#2831C2214yescomplemented
63#2831C2214yescomplemented
64#2830C2214yescomplemented
65#2830C2214yescomplemented
66#2827C2214yescomplemented
67#2827C2214yescomplemented
68#2823C2214yescomplemented
69#2823C2214yescomplemented
70#2821C2214yescomplemented
71#2817C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2793C2214yescomplemented
75#2793C2214yescomplemented
76#2775C2214yescomplemented
77#2770C2214yescomplemented
78#2765C2214yescomplemented
79#2764C2214yescomplemented
80#2759C2214yescomplemented
81#2759C2214yescomplemented
82#2745C2214yescomplemented
83#2731C2214yescomplemented
84#2731C2214yescomplemented
85#2729C2214yescomplemented
86#2728C2214yescomplemented
87#2728C2214yescomplemented
88#2724C2214yescomplemented
89#2723C2214yescomplemented
90#2723C2214yescomplemented
91#2721C2214yescomplemented
92#2720C2214yescomplemented
93#2720C2214yescomplemented
94#2718C2214yescomplemented
95#2718C2214yescomplemented
96#2716C2214yescomplemented
97#2716C2214yescomplemented
98#2715C2214yescomplemented
99#2715C2214yescomplemented
100#2707C2214yescomplemented
101#2707C2214yescomplemented
102#2702C2214yescomplemented
103#2702C2214yescomplemented
104#2698C2214yescomplemented
105#2698C2214yescomplemented
106#2690C2214yescomplemented
107#2689C2214yescomplemented
108#2683C2214yescomplemented
109#2680C2214yescomplemented
110#2680C2214yescomplemented
111#2677C2214yescomplemented
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2645C2212yescomplemented
117#2644C2212yes—
118#2644C2212yes—
119#2644C2212yes—
120#2644C2212yes—
121#2644C2212yescomplemented
122#2626C2214yes—
123#2622C2214yes—
124#2592C2212yes—
125#2592C2212yes—
126#2582C2212yescomplemented
127#2581C2212yescomplemented
128#2580C2212yes—
129#2580C2212yes—
130#2580C2212yescomplemented
131#2579C2214yes—
132#2571C2212yescomplemented
133#2570C2212yescomplemented
134#2570C2212yescomplemented
135#2569C2214yes—
136#2567C2212yescomplemented
137#2567C2212yescomplemented
138#2566C2212yes—
139#2566C2212yes—
140#2563C2212yes—
141#2552C2211yescharacteristic, complemented
142#2552C2212yescomplemented
143#2552C2211yescharacteristic, complemented
144#2551C2211yescharacteristic, complemented
145#2551C2211yescharacteristic, complemented
146#2550C2211yescharacteristic, complemented
147#2550C2211yescharacteristic, complemented
148#2550C2211yescharacteristic, complemented
149#2550C2211yescharacteristic, complemented
150#2549C2212yes—
151#2549C2212yes—
152#2548C2212yes—
153#2548C2212yes—
154#2546C2212yescomplemented
155#2546C2212yescomplemented
156#2542C2212yes—
157#2538C2212yes—
158#2538C2212yes—
159#2538C2212yescomplemented
160#2514C2211yescharacteristic, complemented
161#2514C2211yescharacteristic, complemented
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2211yescharacteristic, complemented
167#2513C2211yescharacteristic, complemented
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2512C2211yescharacteristic, complemented
173#2512C2211yescharacteristic, complemented
174#2511C2211yescharacteristic, complemented
175#2511C2211yescharacteristic, complemented
176#2510C2212yes—
177#2510C2212yes—
178#2510C2214yes—
179#2509C2212yescomplemented
180#2509C2212yescomplemented
181#2509C2212yescomplemented
182#2508C2212yescomplemented
183#2508C2212yescomplemented
184#2508C2212yescomplemented
185#2507C2212yescomplemented
186#2507C2212yescomplemented
187#2507C2212yescomplemented
188#2506C2212yescomplemented
189#2506C2212yescomplemented
190#2506C2212yescomplemented
191#2505C2214yes—
192#2504C2212yes—
193#2502C2214yes—
194#2501C2212yes—
195#2500C2212yes—
196#2500C2212yes—
197#2497C2212yescomplemented
198#2496C2212yescomplemented
199#2495C2212yescomplemented
200#2494C2212yescomplemented
201#2491C2212yes—
202#2491C2212yes—
203#2490C2212yes—
204#2490C2212yes—
205#2481C2212yes—
206#2481C2212yes—
207#2481C2214yes—
208#2480C2214yes—
209#2480C2214yes—
210#2480C2214yes—
211#2480C2214yes—
212#2473C2214yes—
213#2472C2214yes—
214#2472C2214yes—
215#2452C2212yes—
216#2452C2212yes—
217#2452C2212yes—
218#2452C2212yes—
219#2452C2212yes—
220#2452C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2452C2212yescomplemented
224#2452C2212yescomplemented
225#2451C2212yescomplemented
226#2451C2212yescomplemented
227#2450C2214yes—
228#2449C2214yes—
229#2448C2212yes—
230#2448C2212yes—
231#2447C2212yes—
232#2447C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2445C2212yes—
236#2445C2212yes—
237#2442C2214yes—
238#2442C2212yescomplemented
239#2441C2212yescomplemented
240#2440C2212yes—
241#2440C2212yes—
242#2440C2212yescomplemented
243#2440C2212yescomplemented
244#2440C2212yescomplemented
245#2439C2212yescomplemented
246#2439C2212yescomplemented
247#2439C2212yescomplemented
248#2434C2214yes—
249#2422C2212yes—
250#2422C2212yes—
251#2420C2212yes—
252#2420C2212yes—
253#2418C2214yes—
254#2418C2214yes—
255#2409C2214yes—
256#2401C2212yescomplemented
257#2401C2212yescomplemented
258#2399C2212yescomplemented
259#2399C2212yescomplemented
260C2×#396C2212yes—
261C2×#393C2212yes—
262#2383C2214yescomplemented
263#2379C2214yescomplemented
264#2378C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2309C2211yescharacteristic
276#2309C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×C4⋊Q8C2212yescomplemented
279C4×C4⋊Q8C2212yescomplemented
280C4×#126C2212yescomplemented
281C4×#126C2212yescomplemented
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#385C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#563—416no—
304#535—44no—
305#533—44no—
306#533—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2314yes—
320C2×#127C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8—48no—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
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×#120C2314yes—
358#520—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4—44no—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#401C2312yes—
397#401C2314yes—
398#401C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2312yes—
504#395C2312yes—
505#395C2312yes—
506#395C2312yes—
507#395C2312yes—
508#395C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2314yes—
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
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#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#384C2314yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#383C2312yes—
737#383C2312yes—
738#383C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2314yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2314yes—
751#381C2314yes—
752#381C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4—82no—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—28no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867C4⋊Q8—48no—
868C4⋊Q8—44no—
869C4⋊Q8—84no—
870#127—44no—
871#126—28no—
872#126—48no—
873#126—44no—
874#126—48no—
875#126—48no—
876#126—48no—
877#126—84no—
878#125—42no—
879#125—42no—
880#125—42no—
881#125—42no—
882#125—48no—
883#125—48no—
884#124—44no—
885#124—48no—
886#124—48no—
887#123—48no—
888#123—48no—
889#123—84no—
890#123—84no—
891C22⋊Q8—216no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—84no—
903C22⋊Q8—84no—
904#121—44no—
905#121—44no—
906#120—48no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—44no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4—44no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4—82no—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—24no—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
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#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24—24no—
1179C24—24no—
1180C24—24no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24—42no—
1185C24C2514yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—416no—
1189C2×Q8—22no—
1190C2×Q8—28no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—816no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—416no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—816no—
1270C22×C4H(5,𝔽2)14yes—
1271C22×C42−1+414yes—
1272C22×C42−1+414yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4H(5,𝔽2)14yes—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—24no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23—48no—
1485C23—48no—
1486C23—48no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—84no—
1491C23C2×H(5,𝔽2)12yes—
1492C23C2×2−1+412yes—
1493C23C2×2−1+412yes—
1494C23C2611yescharacteristic
1495Q8—44no—
1496Q8—84no—
1497Q8—84no—
1498Q8—84no—
1499Q8—88no—
1500Q8—84no—
1501Q8—88no—
1502D4—48no—
1503D4—48no—
1504D4—48no—
1505D4—44no—
1506D4—164no—
1507D4—164no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—84no—
1605C2×C4—88no—
1606C2×C4—164no—
1607C2×C4#563116yescomplemented
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—44no—
1638C22—816no—
1639C22C2×#56314yes—
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22H(7,𝔽2)11yescharacteristic
1646C222−1+611yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—42no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—44no—
1659C4—41no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4C2×#56314yes—
1678C4C2×#56314yes—
1679C2—24no—
1680C2—82no—
1681C2—84no—
1682C2C22×#56311yescharacteristic
1683C2#6283511yescharacteristic
1684C2#6287911yescharacteristic
1685C2#6291211yescharacteristic
1686C2#6291311yescharacteristic
1687C2#6292611yescharacteristic
1688C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53114C2semidirect
2. #53113C2semidirect
3. #53099C2semidirect
4. #53084C2semidirect
5. #53083C2semidirect
6. #53001C2semidirect
7. #52999C2semidirect
8. #52989C2semidirect
9. #52344C2semidirect
10. #52318C2semidirect
11. #46345C2semidirect
12. #46343C2semidirect
13. #46341C2semidirect
14. #46329C2semidirect
15. #46062C2semidirect
16. #46049C2semidirect
17. #46019C2semidirect
18. #45993C2semidirect
19. #45531C2semidirect
20. #45446C2semidirect
21. #35585C2semidirect
22. #35574C2semidirect
24. #35543C2semidirect
26. #35519C2semidirect
27. #35281C2semidirect
28. #35267C2semidirect
29. #35266C2semidirect
30. #35266C2semidirect
31. #35172C2semidirect
33. #34938C2semidirect
34. #34816C2semidirect
35. C2×#2452C2semidirect
36. C2×#563C22semidirect
44. #2868C22semidirect
45. #2863C22semidirect
46. #2862C22semidirect
51. #2860C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2836C22semidirect
57. #2836C22semidirect
58. #2834C22semidirect
59. #2832C22semidirect
60. #2832C22semidirect
61. #2831C22semidirect
62. #2831C22semidirect
63. #2831C22semidirect
64. #2830C22semidirect
65. #2830C22semidirect
66. #2827C22semidirect
67. #2827C22semidirect
68. #2823C22semidirect
69. #2823C22semidirect
70. #2821C22semidirect
71. #2817C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2793C22semidirect
75. #2793C22semidirect
76. #2775C22semidirect
77. #2770C22semidirect
78. #2765C22semidirect
79. #2764C22semidirect
80. #2759C22semidirect
81. #2759C22semidirect
82. #2745C22semidirect
83. #2731C22semidirect
84. #2731C22semidirect
85. #2729C22semidirect
86. #2728C22semidirect
87. #2728C22semidirect
88. #2724C22semidirect
89. #2723C22semidirect
90. #2723C22semidirect
91. #2721C22semidirect
92. #2720C22semidirect
93. #2720C22semidirect
94. #2718C22semidirect
95. #2718C22semidirect
96. #2716C22semidirect
97. #2716C22semidirect
98. #2715C22semidirect
99. #2715C22semidirect
100. #2707C22semidirect
101. #2707C22semidirect
102. #2702C22semidirect
103. #2702C22semidirect
104. #2698C22semidirect
105. #2698C22semidirect
106. #2690C22semidirect
107. #2689C22semidirect
108. #2683C22semidirect
109. #2680C22semidirect
110. #2680C22semidirect
111. #2677C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2645C22semidirect
121. #2644C22semidirect
126. #2582C22semidirect
127. #2581C22semidirect
130. #2580C22semidirect
132. #2571C22semidirect
133. #2570C22semidirect
134. #2570C22semidirect
136. #2567C22semidirect
137. #2567C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2551C22semidirect
145. #2551C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
154. #2546C22semidirect
155. #2546C22semidirect
159. #2538C22semidirect
160. #2514C22semidirect
161. #2514C22semidirect
166. #2513C22semidirect
167. #2513C22semidirect
172. #2512C22semidirect
173. #2512C22semidirect
174. #2511C22semidirect
175. #2511C22semidirect
179. #2509C22semidirect
180. #2509C22semidirect
181. #2509C22semidirect
182. #2508C22semidirect
183. #2508C22semidirect
184. #2508C22semidirect
185. #2507C22semidirect
186. #2507C22semidirect
187. #2507C22semidirect
188. #2506C22semidirect
189. #2506C22semidirect
190. #2506C22semidirect
197. #2497C22semidirect
198. #2496C22semidirect
199. #2495C22semidirect
200. #2494C22semidirect
223. #2452C22semidirect
224. #2452C22semidirect
225. #2451C22semidirect
226. #2451C22semidirect
238. #2442C22semidirect
239. #2441C22semidirect
242. #2440C22semidirect
243. #2440C22semidirect
244. #2440C22semidirect
245. #2439C22semidirect
246. #2439C22semidirect
247. #2439C22semidirect
256. #2401C22semidirect
257. #2401C22semidirect
258. #2399C22semidirect
259. #2399C22semidirect
262. #2383C22semidirect
263. #2379C22semidirect
264. #2378C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×#126C22semidirect
281. C4×#126C22semidirect
1607. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531142
#531132
#530992
#530842
#530832
#530012
#529992
#529892
#523442
#523182
#463452
#463432
#463412
#463292
#460622
#460492
#460192
#459932
#455312
#454462
#355852
#355742
#355562
#355432
#355312
#355192
#352812
#352672
#352662
#351722
#351522
#349382
#348162
C2×#24522