Finite Group Databasebeta

← #8094786

Subgroups — #8094786

Order 512.

4936 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53132C212yesmaximal, complemented
2#53125C212yesmaximal, complemented
3#53112C212yesmaximal, complemented
4#53112C212yesmaximal, complemented
5#53099C212yesmaximal, complemented
6#52997C212yesmaximal, complemented
7#52997C212yesmaximal, complemented
8#52989C212yesmaximal, complemented
9#52314C214yesmaximal, complemented
10#52314C214yesmaximal, complemented
11#46345C212yesmaximal, complemented
12#46340C212yesmaximal, complemented
13#46340C212yesmaximal, complemented
14#46329C212yesmaximal, complemented
15#46056C212yesmaximal, complemented
16#46056C212yesmaximal, complemented
17#46014C212yesmaximal, complemented
18#45998C212yesmaximal, complemented
19#45728C214yesmaximal, complemented
20#45456C214yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35558C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35554C211yesmaximal, characteristic
25#35529C211yesmaximal, characteristic, complemented
26#35515C211yesmaximal, characteristic, complemented
27#35285C211yesmaximal, characteristic
28#35266C211yesmaximal, characteristic, complemented
29#35266C211yesmaximal, characteristic, complemented
30#35265C211yesmaximal, characteristic, complemented
31#35174C211yesmaximal, characteristic, complemented
32#35172C211yesmaximal, characteristic, complemented
33#34938C211yesmaximal, characteristic, complemented
34#34815C211yesmaximal, characteristic, complemented
35C2×#2445C211yesmaximal, characteristic
36C2×#563C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×#127C2211yescharacteristic
41C22×#123C2212yes—
42C2×#518C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2864C2212yescomplemented
45#2860C2212yescomplemented
46#2860C2212yescomplemented
47#2860C2212yescomplemented
48#2860C2212yescomplemented
49#2859C2212yescomplemented
50#2858C2212yes—
51#2858C2212yes—
52#2848C2214yes—
53#2848C2214yes—
54#2837C2214yescomplemented
55#2837C2214yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2832C2214yescomplemented
59#2832C2214yescomplemented
60#2830C2214yescomplemented
61#2830C2214yescomplemented
62#2827C2214yescomplemented
63#2827C2214yescomplemented
64#2827C2214yescomplemented
65#2827C2214yescomplemented
66#2823C2214yescomplemented
67#2823C2214yescomplemented
68#2820C2214yescomplemented
69#2820C2214yescomplemented
70#2814C2214yescomplemented
71#2814C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2731C2214yescomplemented
75#2731C2214yescomplemented
76#2728C2214yescomplemented
77#2728C2214yescomplemented
78#2727C2214yescomplemented
79#2727C2214yescomplemented
80#2724C2214yescomplemented
81#2723C2214yescomplemented
82#2723C2214yescomplemented
83#2723C2214yescomplemented
84#2723C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2718C2214yescomplemented
89#2717C2214yescomplemented
90#2717C2214yescomplemented
91#2715C2214yescomplemented
92#2715C2214yescomplemented
93#2715C2214yescomplemented
94#2715C2214yescomplemented
95#2707C2214yescomplemented
96#2707C2214yescomplemented
97#2707C2214yescomplemented
98#2707C2214yescomplemented
99#2702C2214yescomplemented
100#2702C2214yescomplemented
101#2702C2214yescomplemented
102#2702C2214yescomplemented
103#2695C2214yescomplemented
104#2695C2214yescomplemented
105#2695C2214yescomplemented
106#2695C2214yescomplemented
107#2683C2214yescomplemented
108#2680C2214yescomplemented
109#2680C2214yescomplemented
110#2674C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2647C2212yescomplemented
115#2647C2212yescomplemented
116#2644C2212yescomplemented
117#2644C2212yescomplemented
118#2644C2212yescomplemented
119#2644C2212yescomplemented
120#2641C2212yes—
121#2641C2212yes—
122#2626C2214yes—
123#2626C2214yes—
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2580C2212yescomplemented
127#2580C2212yescomplemented
128#2580C2212yescomplemented
129#2580C2212yescomplemented
130#2567C2212yescomplemented
131#2566C2212yescomplemented
132#2566C2212yescomplemented
133#2566C2212yescomplemented
134#2566C2212yescomplemented
135#2563C2212yescomplemented
136#2563C2212yescomplemented
137#2552C2211yescharacteristic, complemented
138#2552C2212yescomplemented
139#2552C2211yescharacteristic, complemented
140#2551C2211yescharacteristic, complemented
141#2551C2211yescharacteristic, complemented
142#2551C2212yescomplemented
143#2550C2211yescharacteristic, complemented
144#2550C2212yescomplemented
145#2550C2211yescharacteristic, complemented
146#2550C2211yescharacteristic, complemented
147#2550C2211yescharacteristic, complemented
148#2550C2212yescomplemented
149#2549C2212yes—
150#2549C2214yes—
151#2549C2212yes—
152#2548C2212yes—
153#2548C2212yes—
154#2548C2212yes—
155#2548C2212yes—
156#2546C2212yescomplemented
157#2542C2212yescomplemented
158#2542C2212yescomplemented
159#2538C2212yescomplemented
160#2538C2212yescomplemented
161#2538C2212yescomplemented
162#2538C2212yescomplemented
163#2513C2212yescomplemented
164#2513C2212yescomplemented
165#2513C2212yescomplemented
166#2513C2212yescomplemented
167#2513C2212yescomplemented
168#2513C2212yescomplemented
169#2513C2212yescomplemented
170#2513C2212yescomplemented
171#2513C2212yescomplemented
172#2513C2212yescomplemented
173#2513C2212yescomplemented
174#2513C2212yescomplemented
175#2512C2212yescomplemented
176#2512C2212yescomplemented
177#2512C2212yescomplemented
178#2512C2212yescomplemented
179#2512C2212yescomplemented
180#2512C2212yescomplemented
181#2512C2212yescomplemented
182#2512C2212yescomplemented
183#2512C2212yescomplemented
184#2512C2212yescomplemented
185#2512C2212yescomplemented
186#2512C2212yescomplemented
187#2509C2211yescharacteristic, complemented
188#2509C2212yescomplemented
189#2509C2211yescharacteristic, complemented
190#2508C2211yescharacteristic, complemented
191#2508C2212yescomplemented
192#2508C2211yescharacteristic, complemented
193#2507C2211yescharacteristic, complemented
194#2507C2212yescomplemented
195#2507C2211yescharacteristic, complemented
196#2506C2211yescharacteristic, complemented
197#2506C2212yescomplemented
198#2506C2211yescharacteristic, complemented
199#2505C2212yes—
200#2505C2214yes—
201#2505C2212yes—
202#2480C2214yes—
203#2480C2214yes—
204#2480C2214yes—
205#2480C2214yes—
206#2480C2214yes—
207#2480C2214yes—
208#2480C2214yes—
209#2480C2214yes—
210#2473C2212yes—
211#2473C2214yes—
212#2473C2212yes—
213#2454C2212yescomplemented
214#2454C2212yescomplemented
215#2454C2212yescomplemented
216#2454C2212yescomplemented
217#2454C2212yescomplemented
218#2454C2212yescomplemented
219#2454C2212yescomplemented
220#2454C2212yescomplemented
221#2452C2212yescomplemented
222#2452C2212yescomplemented
223#2452C2212yescomplemented
224#2452C2212yescomplemented
225#2452C2212yescomplemented
226#2452C2212yescomplemented
227#2452C2212yescomplemented
228#2452C2212yescomplemented
229#2445C2212yes—
230#2445C2212yes—
231#2445C2212yes—
232#2445C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2445C2212yes—
236#2445C2212yes—
237#2445C2212yes—
238#2445C2212yes—
239#2445C2212yes—
240#2445C2212yes—
241#2445C2212yes—
242#2445C2212yes—
243#2445C2212yes—
244#2445C2212yes—
245#2440C2212yes—
246#2440C2214yes—
247#2440C2212yes—
248#2437C2214yes—
249#2437C2214yes—
250#2437C2214yes—
251#2437C2214yes—
252#2435C2214yes—
253#2435C2214yes—
254#2405C2214yes—
255#2405C2214yes—
256#2402C2212yescomplemented
257#2402C2212yescomplemented
258#2399C2212yescomplemented
259#2399C2212yescomplemented
260C2×#394C2212yes—
261C2×#394C2212yes—
262#2379C2214yescomplemented
263#2376C2214yescomplemented
264#2376C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2309C2211yescharacteristic
272#2309C2211yescharacteristic
273#2309C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276#2309C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×C4⋊Q8C2212yescomplemented
279C4×C4⋊Q8C2212yescomplemented
280C4×#125C2212yescomplemented
281C4×#125C2212yescomplemented
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#386C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C24×C4C2312yes—
304#563—416no—
305#544—44no—
306#533—44no—
307#533—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127—44no—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2311yescharacteristic
334C2×#125C2311yescharacteristic
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2311yescharacteristic
338C2×#125C2311yescharacteristic
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#123—48no—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365#518—44no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4—44no—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
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#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#395C2312yes—
496#395C2312yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2312yes—
502#395C2312yes—
503#395C2312yes—
504#395C2312yes—
505#395C2312yes—
506#395C2312yes—
507#394C2314yes—
508#394C2314yes—
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#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
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#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
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#389C2311yescharacteristic
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#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2314yes—
733#384C2312yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2314yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C25C2412yes—
819C25C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—82no—
836C22×D4—82no—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—44no—
846C23×C4—44no—
847C23×C4—82no—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—28no—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—48no—
870#127—44no—
871#127—44no—
872#127—44no—
873#127—44no—
874#126—48no—
875#126—48no—
876#126—48no—
877#126—48no—
878#126—84no—
879#126—84no—
880#126—84no—
881#126—84no—
882#125—28no—
883#125—44no—
884#125—42no—
885#125—42no—
886#125—42no—
887#125—42no—
888#125—44no—
889#125—44no—
890#125—48no—
891#124—48no—
892#124—48no—
893#124—84no—
894#124—84no—
895#123—216no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—84no—
902#123—84no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914C22⋊Q8—84no—
915C22⋊Q8—84no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—44no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4—82no—
1036C2×C22⋊C4—82no—
1037C2×C22⋊C4—82no—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—24no—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
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#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—24no—
1188C24—24no—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24C2514yes—
1202C24C2514yes—
1203C24C2511yescharacteristic
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—416no—
1244C2×D4—416no—
1245C2×D4—816no—
1246C2×D4—816no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—28no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—41no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—816no—
1284C22×C4H(5,𝔽2)14yes—
1285C22×C42−1+414yes—
1286C22×C42−1+414yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—44no—
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—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4H(5,𝔽2)14yes—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
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—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—24no—
1495C23—24no—
1496C23—24no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—48no—
1509C23—48no—
1510C23—48no—
1511C23—48no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23C2×H(5,𝔽2)12yes—
1523C23C2×2−1+412yes—
1524C23C2×2−1+412yes—
1525C23C2611yescharacteristic
1526Q8—84no—
1527Q8—84no—
1528Q8—84no—
1529Q8—84no—
1530Q8—164no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—88no—
1630C2×C4—82no—
1631C2×C4—84no—
1632C2×C4—82no—
1633C2×C4—84no—
1634C2×C4—88no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4#563116yescomplemented
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×2−1+412yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4#58512yes—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—44no—
1655C22—44no—
1656C22—44no—
1657C22—44no—
1658C22—44no—
1659C22—44no—
1660C22—44no—
1661C22—44no—
1662C22—44no—
1663C22—44no—
1664C22—44no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—816no—
1669C22—168no—
1670C22C2×#56314yes—
1671C22C22×H(5,𝔽2)11yescharacteristic
1672C22C22×H(5,𝔽2)11yescharacteristic
1673C22C22×2−1+411yescharacteristic
1674C22C22×2−1+411yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22H(7,𝔽2)11yescharacteristic
1677C22H(7,𝔽2)11yescharacteristic
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—44no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—44no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4C2×#56314yes—
1709C4C2×#56314yes—
1710C2—24no—
1711C2—84no—
1712C2—84no—
1713C2C22×#56311yescharacteristic
1714C2#6283511yescharacteristic
1715C2#6288111yescharacteristic
1716C2#6291211yescharacteristic
1717C2#6291711yescharacteristic
1718C2#6292411yescharacteristic
1719C2#6296211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#127C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53132C2semidirect
2. #53125C2semidirect
3. #53112C2semidirect
4. #53112C2semidirect
5. #53099C2semidirect
6. #52997C2semidirect
7. #52997C2semidirect
8. #52989C2semidirect
9. #52314C2semidirect
10. #52314C2semidirect
11. #46345C2semidirect
12. #46340C2semidirect
13. #46340C2semidirect
14. #46329C2semidirect
15. #46056C2semidirect
16. #46056C2semidirect
17. #46014C2semidirect
18. #45998C2semidirect
19. #45728C2semidirect
20. #45456C2semidirect
21. #35566C2semidirect
22. #35558C2semidirect
23. #35558C2semidirect
25. #35529C2semidirect
26. #35515C2semidirect
28. #35266C2semidirect
29. #35266C2semidirect
30. #35265C2semidirect
31. #35174C2semidirect
32. #35172C2semidirect
33. #34938C2semidirect
34. #34815C2semidirect
36. C2×#563C22semidirect
44. #2864C22semidirect
45. #2860C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
48. #2860C22semidirect
49. #2859C22semidirect
54. #2837C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2832C22semidirect
59. #2832C22semidirect
60. #2830C22semidirect
61. #2830C22semidirect
62. #2827C22semidirect
63. #2827C22semidirect
64. #2827C22semidirect
65. #2827C22semidirect
66. #2823C22semidirect
67. #2823C22semidirect
68. #2820C22semidirect
69. #2820C22semidirect
70. #2814C22semidirect
71. #2814C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2731C22semidirect
75. #2731C22semidirect
76. #2728C22semidirect
77. #2728C22semidirect
78. #2727C22semidirect
79. #2727C22semidirect
80. #2724C22semidirect
81. #2723C22semidirect
82. #2723C22semidirect
83. #2723C22semidirect
84. #2723C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2718C22semidirect
89. #2717C22semidirect
90. #2717C22semidirect
91. #2715C22semidirect
92. #2715C22semidirect
93. #2715C22semidirect
94. #2715C22semidirect
95. #2707C22semidirect
96. #2707C22semidirect
97. #2707C22semidirect
98. #2707C22semidirect
99. #2702C22semidirect
100. #2702C22semidirect
101. #2702C22semidirect
102. #2702C22semidirect
103. #2695C22semidirect
104. #2695C22semidirect
105. #2695C22semidirect
106. #2695C22semidirect
107. #2683C22semidirect
108. #2680C22semidirect
109. #2680C22semidirect
110. #2674C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
114. #2647C22semidirect
115. #2647C22semidirect
116. #2644C22semidirect
117. #2644C22semidirect
118. #2644C22semidirect
119. #2644C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
126. #2580C22semidirect
127. #2580C22semidirect
128. #2580C22semidirect
129. #2580C22semidirect
130. #2567C22semidirect
131. #2566C22semidirect
132. #2566C22semidirect
133. #2566C22semidirect
134. #2566C22semidirect
135. #2563C22semidirect
136. #2563C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2551C22semidirect
141. #2551C22semidirect
142. #2551C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
156. #2546C22semidirect
157. #2542C22semidirect
158. #2542C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2513C22semidirect
166. #2513C22semidirect
167. #2513C22semidirect
168. #2513C22semidirect
169. #2513C22semidirect
170. #2513C22semidirect
171. #2513C22semidirect
172. #2513C22semidirect
173. #2513C22semidirect
174. #2513C22semidirect
175. #2512C22semidirect
176. #2512C22semidirect
177. #2512C22semidirect
178. #2512C22semidirect
179. #2512C22semidirect
180. #2512C22semidirect
181. #2512C22semidirect
182. #2512C22semidirect
183. #2512C22semidirect
184. #2512C22semidirect
185. #2512C22semidirect
186. #2512C22semidirect
187. #2509C22semidirect
188. #2509C22semidirect
189. #2509C22semidirect
190. #2508C22semidirect
191. #2508C22semidirect
192. #2508C22semidirect
193. #2507C22semidirect
194. #2507C22semidirect
195. #2507C22semidirect
196. #2506C22semidirect
197. #2506C22semidirect
198. #2506C22semidirect
213. #2454C22semidirect
214. #2454C22semidirect
215. #2454C22semidirect
216. #2454C22semidirect
217. #2454C22semidirect
218. #2454C22semidirect
219. #2454C22semidirect
220. #2454C22semidirect
221. #2452C22semidirect
222. #2452C22semidirect
223. #2452C22semidirect
224. #2452C22semidirect
225. #2452C22semidirect
226. #2452C22semidirect
227. #2452C22semidirect
228. #2452C22semidirect
256. #2402C22semidirect
257. #2402C22semidirect
258. #2399C22semidirect
259. #2399C22semidirect
262. #2379C22semidirect
263. #2376C22semidirect
264. #2376C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×#125C22semidirect
281. C4×#125C22semidirect
1637. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531322
#531252
#531122
#530992
#529972
#529892
#523142
#463452
#463402
#463292
#460562
#460142
#459982
#457282
#454562
#355662
#355582
#355542
#355292
#355152
#352852
#352662
#352652
#351742
#351722
#349382
#348152
C2×#24452