Finite Group Databasebeta

← #8094807

Subgroups — #8094807

Order 512.

4704 conjugacy classes of subgroups.

The subgroup lattice has 1701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53123C212yesmaximal, complemented
2#53114C212yesmaximal, complemented
3#53112C212yesmaximal, complemented
4#53104C212yesmaximal, complemented
5#53099C212yesmaximal, complemented
6#53020C212yesmaximal, complemented
7#52994C212yesmaximal, complemented
8#52980C212yesmaximal, complemented
9#52490C214yesmaximal, complemented
10#52473C214yesmaximal, complemented
11#46347C212yesmaximal, complemented
12#46343C212yesmaximal, complemented
13#46340C212yesmaximal, complemented
14#46329C212yesmaximal, complemented
15#46085C214yesmaximal, complemented
16#45971C214yesmaximal, complemented
17#45654C212yesmaximal, complemented
18#45633C212yesmaximal, complemented
19#45513C212yesmaximal, complemented
20#45485C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic
23#35555C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic
25#35515C211yesmaximal, characteristic, complemented
26#35515C211yesmaximal, characteristic, complemented
27#35280C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35266C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic
31#35173C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33#34938C211yesmaximal, characteristic, complemented
34C2×#2512C211yesmaximal, characteristic, complemented
35#34745C211yesmaximal, characteristic, complemented
36C2×#563C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#126C2212yes—
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2863C2212yescomplemented
45#2860C2212yes—
46#2860C2212yes—
47#2860C2212yescomplemented
48#2857C2214yes—
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2854C2212yes—
52#2854C2212yes—
53#2852C2214yes—
54#2841C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2836C2214yescomplemented
60#2836C2214yescomplemented
61#2836C2214yescomplemented
62#2834C2214yescomplemented
63#2831C2214yescomplemented
64#2831C2214yescomplemented
65#2830C2214yescomplemented
66#2827C2214yescomplemented
67#2823C2214yescomplemented
68#2823C2214yescomplemented
69#2821C2214yescomplemented
70#2820C2214yescomplemented
71#2814C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2787C2214yescomplemented
75#2777C2214yescomplemented
76#2765C2214yescomplemented
77#2764C2214yescomplemented
78#2759C2214yescomplemented
79#2759C2214yescomplemented
80#2738C2214yescomplemented
81#2731C2214yescomplemented
82#2729C2214yescomplemented
83#2729C2214yescomplemented
84#2728C2214yescomplemented
85#2727C2214yescomplemented
86#2725C2214yescomplemented
87#2725C2214yescomplemented
88#2723C2214yescomplemented
89#2722C2214yescomplemented
90#2721C2214yescomplemented
91#2721C2214yescomplemented
92#2720C2214yescomplemented
93#2718C2214yescomplemented
94#2717C2214yescomplemented
95#2716C2214yescomplemented
96#2715C2214yescomplemented
97#2715C2214yescomplemented
98#2715C2214yescomplemented
99#2707C2214yescomplemented
100#2707C2214yescomplemented
101#2707C2214yescomplemented
102#2702C2214yescomplemented
103#2702C2214yescomplemented
104#2702C2214yescomplemented
105#2698C2214yescomplemented
106#2695C2214yescomplemented
107#2695C2214yescomplemented
108#2690C2214yescomplemented
109#2689C2214yescomplemented
110#2689C2214yescomplemented
111#2683C2214yescomplemented
112#2680C2214yescomplemented
113#2674C2214yescomplemented
114#2659C2214yes—
115#2645C2212yescomplemented
116#2644C2212yes—
117#2644C2212yes—
118#2644C2212yescomplemented
119#2643C2214yes—
120#2629C2212yescomplemented
121#2629C2212yescomplemented
122#2624C2212yes—
123#2624C2212yes—
124#2592C2212yes—
125#2592C2212yes—
126#2584C2212yescomplemented
127#2584C2212yescomplemented
128#2584C2212yescomplemented
129#2584C2212yescomplemented
130#2582C2212yescomplemented
131#2582C2212yescomplemented
132#2580C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2570C2212yescomplemented
137#2570C2212yescomplemented
138#2569C2214yes—
139#2567C2212yescomplemented
140#2567C2212yescomplemented
141#2552C2212yescomplemented
142#2552C2212yescomplemented
143#2552C2211yescharacteristic, complemented
144#2552C2211yescharacteristic, complemented
145#2551C2211yescharacteristic, complemented
146#2551C2211yescharacteristic, complemented
147#2550C2211yescharacteristic, complemented
148#2550C2211yescharacteristic, complemented
149#2550C2211yescharacteristic, complemented
150#2550C2211yescharacteristic, complemented
151#2549C2212yes—
152#2549C2212yes—
153#2548C2212yes—
154#2548C2212yes—
155#2546C2212yescomplemented
156#2546C2212yescomplemented
157#2538C2212yes—
158#2538C2212yes—
159#2538C2212yes—
160#2538C2212yes—
161#2538C2212yescomplemented
162#2538C2212yescomplemented
163#2514C2212yescomplemented
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yescomplemented
167#2512C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2512C2212yes—
177#2512C2212yescomplemented
178#2511C2212yescomplemented
179#2510C2214yes—
180#2509C2212yescomplemented
181#2509C2212yescomplemented
182#2508C2212yescomplemented
183#2508C2212yescomplemented
184#2507C2212yescomplemented
185#2507C2212yescomplemented
186#2507C2212yescomplemented
187#2507C2212yescomplemented
188#2506C2212yescomplemented
189#2506C2212yescomplemented
190#2506C2212yescomplemented
191#2506C2212yescomplemented
192#2497C2212yescomplemented
193#2497C2212yescomplemented
194#2496C2212yescomplemented
195#2496C2212yescomplemented
196#2495C2212yescomplemented
197#2495C2212yescomplemented
198#2494C2212yescomplemented
199#2494C2212yescomplemented
200#2491C2212yes—
201#2491C2212yes—
202#2490C2212yes—
203#2490C2212yes—
204#2481C2214yes—
205#2480C2214yes—
206#2480C2214yes—
207#2473C2214yes—
208#2473C2214yes—
209#2472C2214yes—
210#2472C2214yes—
211#2454C2212yes—
212#2454C2212yes—
213#2454C2212yes—
214#2454C2212yes—
215#2454C2211yescharacteristic, complemented
216#2454C2211yescharacteristic, complemented
217#2453C2211yescharacteristic, complemented
218#2453C2211yescharacteristic, complemented
219#2452C2212yes—
220#2452C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2452C2211yescharacteristic, complemented
224#2452C2211yescharacteristic, complemented
225#2451C2211yescharacteristic, complemented
226#2451C2211yescharacteristic, complemented
227#2450C2212yes—
228#2450C2212yes—
229#2449C2212yes—
230#2449C2212yes—
231#2448C2212yes—
232#2448C2212yes—
233#2447C2212yes—
234#2447C2212yes—
235#2445C2212yes—
236#2445C2212yes—
237#2445C2212yes—
238#2445C2212yes—
239#2442C2214yes—
240#2440C2212yes—
241#2440C2212yes—
242#2437C2214yes—
243#2437C2214yes—
244#2437C2214yes—
245#2437C2214yes—
246#2422C2212yes—
247#2422C2212yes—
248#2420C2212yes—
249#2420C2212yes—
250#2418C2214yes—
251#2418C2214yes—
252#2417C2214yes—
253#2417C2214yes—
254#2412C2214yes—
255#2412C2214yes—
256#2399C2212yescomplemented
257#2399C2212yescomplemented
258#2396C2212yescomplemented
259#2396C2212yescomplemented
260C2×#397C2212yes—
261C2×#396C2212yes—
262#2383C2214yescomplemented
263#2378C2214yescomplemented
264#2376C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2309C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×C4⋊Q8C2212yescomplemented
279C4×C4⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#388C2212yes—
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301#563—416no—
302#535—44no—
303#533—44no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2312yes—
316C2×#126—48no—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#120C2314yes—
358#518—44no—
359C4×#41—44no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2314yes—
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#395C2312yes—
507#395C2314yes—
508#395C2312yes—
509#395C2312yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2312yes—
514#395C2312yes—
515#395C2312yes—
516#395C2312yes—
517#395C2312yes—
518#395C2312yes—
519#395C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2312yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2314yes—
548#391C2314yes—
549#391C2314yes—
550#391C2314yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
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#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
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#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2314yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#383C2314yes—
743#383C2314yes—
744#382C2314yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#379C2314yes—
774#379C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—28no—
854C4⋊Q8—42no—
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857C4⋊Q8—42no—
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860C4⋊Q8—48no—
861C4⋊Q8—44no—
862#127—44no—
863#126—216no—
864#126—48no—
865#126—48no—
866#126—48no—
867#126—48no—
868#126—48no—
869#126—48no—
870#126—84no—
871#125—42no—
872#125—42no—
873#125—42no—
874#125—42no—
875#125—42no—
876#125—42no—
877#125—48no—
878#125—48no—
879#125—84no—
880#124—44no—
881#124—48no—
882#124—84no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—84no—
887C22⋊Q8—28no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—84no—
900C22⋊Q8—84no—
901#121—44no—
902#121—44no—
903#120—48no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—44no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—82no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—48no—
1031C2×C22⋊C4—82no—
1032C2×C22⋊C4—82no—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—24no—
1083C2×C42—44no—
1084C2×C42—44no—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
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#95C2412yes—
1159#95C2412yes—
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—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24—24no—
1183C24—24no—
1184C24—24no—
1185C24—42no—
1186C24—42no—
1187C24—42no—
1188C24—42no—
1189C24C2514yes—
1190C24C2512yes—
1191C24C2511yescharacteristic
1192#41—416no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—416no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4H(5,𝔽2)14yes—
1276C22×C42−1+414yes—
1277C22×C42−1+414yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
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—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
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—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4H(5,𝔽2)14yes—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—28no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—42no—
1469C42—42no—
1470C42—44no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—42no—
1475C42—42no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—48no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×2−1+412yes—
1503C23C2×2−1+412yes—
1504C23C2611yescharacteristic
1505Q8—44no—
1506Q8—84no—
1507Q8—84no—
1508Q8—84no—
1509Q8—84no—
1510Q8—84no—
1511Q8—84no—
1512D4—48no—
1513D4—48no—
1514D4—48no—
1515D4—44no—
1516D4—164no—
1517D4—164no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—82no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—82no—
1616C2×C4—164no—
1617C2×C4—164no—
1618C2×C4#563116yescomplemented
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4#58512yes—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—42no—
1636C22—44no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—168no—
1650C22C2×#56314yes—
1651C22C22×H(5,𝔽2)11yescharacteristic
1652C22C22×H(5,𝔽2)11yescharacteristic
1653C22C22×2−1+411yescharacteristic
1654C22C22×2−1+411yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22H(7,𝔽2)11yescharacteristic
1657C222−1+611yescharacteristic
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—42no—
1663C4—41no—
1664C4—44no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—44no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4C2×#56314yes—
1689C4C2×#56314yes—
1690C2—24no—
1691C2—82no—
1692C2—84no—
1693C2C22×#56311yescharacteristic
1694C2#6283511yescharacteristic
1695C2#6287911yescharacteristic
1696C2#6291411yescharacteristic
1697C2#6291711yescharacteristic
1698C2#6293211yescharacteristic
1699C2#6295711yescharacteristic
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. #53123C2semidirect
2. #53114C2semidirect
3. #53112C2semidirect
4. #53104C2semidirect
5. #53099C2semidirect
6. #53020C2semidirect
7. #52994C2semidirect
8. #52980C2semidirect
9. #52490C2semidirect
10. #52473C2semidirect
11. #46347C2semidirect
12. #46343C2semidirect
13. #46340C2semidirect
14. #46329C2semidirect
15. #46085C2semidirect
16. #45971C2semidirect
17. #45654C2semidirect
18. #45633C2semidirect
19. #45513C2semidirect
20. #45485C2semidirect
21. #35585C2semidirect
23. #35555C2semidirect
25. #35515C2semidirect
26. #35515C2semidirect
27. #35280C2semidirect
28. #35267C2semidirect
29. #35266C2semidirect
31. #35173C2semidirect
32. #35160C2semidirect
33. #34938C2semidirect
34. C2×#2512C2semidirect
35. #34745C2semidirect
36. C2×#563C22semidirect
44. #2863C22semidirect
47. #2860C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
54. #2841C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2836C22semidirect
60. #2836C22semidirect
61. #2836C22semidirect
62. #2834C22semidirect
63. #2831C22semidirect
64. #2831C22semidirect
65. #2830C22semidirect
66. #2827C22semidirect
67. #2823C22semidirect
68. #2823C22semidirect
69. #2821C22semidirect
70. #2820C22semidirect
71. #2814C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2787C22semidirect
75. #2777C22semidirect
76. #2765C22semidirect
77. #2764C22semidirect
78. #2759C22semidirect
79. #2759C22semidirect
80. #2738C22semidirect
81. #2731C22semidirect
82. #2729C22semidirect
83. #2729C22semidirect
84. #2728C22semidirect
85. #2727C22semidirect
86. #2725C22semidirect
87. #2725C22semidirect
88. #2723C22semidirect
89. #2722C22semidirect
90. #2721C22semidirect
91. #2721C22semidirect
92. #2720C22semidirect
93. #2718C22semidirect
94. #2717C22semidirect
95. #2716C22semidirect
96. #2715C22semidirect
97. #2715C22semidirect
98. #2715C22semidirect
99. #2707C22semidirect
100. #2707C22semidirect
101. #2707C22semidirect
102. #2702C22semidirect
103. #2702C22semidirect
104. #2702C22semidirect
105. #2698C22semidirect
106. #2695C22semidirect
107. #2695C22semidirect
108. #2690C22semidirect
109. #2689C22semidirect
110. #2689C22semidirect
111. #2683C22semidirect
112. #2680C22semidirect
113. #2674C22semidirect
115. #2645C22semidirect
118. #2644C22semidirect
120. #2629C22semidirect
121. #2629C22semidirect
126. #2584C22semidirect
127. #2584C22semidirect
128. #2584C22semidirect
129. #2584C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
136. #2570C22semidirect
137. #2570C22semidirect
139. #2567C22semidirect
140. #2567C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2551C22semidirect
146. #2551C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
155. #2546C22semidirect
156. #2546C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
163. #2514C22semidirect
166. #2513C22semidirect
177. #2512C22semidirect
178. #2511C22semidirect
180. #2509C22semidirect
181. #2509C22semidirect
182. #2508C22semidirect
183. #2508C22semidirect
184. #2507C22semidirect
185. #2507C22semidirect
186. #2507C22semidirect
187. #2507C22semidirect
188. #2506C22semidirect
189. #2506C22semidirect
190. #2506C22semidirect
191. #2506C22semidirect
192. #2497C22semidirect
193. #2497C22semidirect
194. #2496C22semidirect
195. #2496C22semidirect
196. #2495C22semidirect
197. #2495C22semidirect
198. #2494C22semidirect
199. #2494C22semidirect
215. #2454C22semidirect
216. #2454C22semidirect
217. #2453C22semidirect
218. #2453C22semidirect
223. #2452C22semidirect
224. #2452C22semidirect
225. #2451C22semidirect
226. #2451C22semidirect
256. #2399C22semidirect
257. #2399C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
262. #2383C22semidirect
263. #2378C22semidirect
264. #2376C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
1618. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531232
#531142
#531122
#531042
#530992
#530202
#529942
#529802
#524902
#524732
#463472
#463432
#463402
#463292
#460852
#459712
#456542
#456332
#455132
#454852
#355852
#355562
#355552
#355412
#355152
#352802
#352672
#352662
#352542
#351732
#351602
#349382
C2×#25122
#347452