Finite Group Databasebeta

← #8094449

Subgroups — #8094449

Order 512.

4526 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53155C212yesmaximal, complemented
2#53132C212yesmaximal, complemented
3#53123C212yesmaximal, complemented
4#53104C212yesmaximal, complemented
5#53035C212yesmaximal, complemented
6#53020C212yesmaximal, complemented
7#52997C212yesmaximal, complemented
8#52980C212yesmaximal, complemented
9#52426C214yesmaximal, complemented
10#52344C214yesmaximal, complemented
11#46105C212yesmaximal, complemented
12#46082C212yesmaximal, complemented
13#46056C212yesmaximal, complemented
14#46014C212yesmaximal, complemented
15#45715C212yesmaximal, complemented
16#45702C212yesmaximal, complemented
17#45640C212yesmaximal, complemented
18#45595C212yesmaximal, complemented
19#45531C214yesmaximal, complemented
20#45463C214yesmaximal, complemented
21#35640C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35558C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#35333C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35264C211yesmaximal, characteristic
30#35254C211yesmaximal, characteristic
31#35172C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic
33#34948C211yesmaximal, characteristic, complemented
34#34745C211yesmaximal, characteristic, complemented
35C2×#2454C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2864C2212yescomplemented
43#2861C2212yes—
44#2859C2212yescomplemented
45#2858C2212yes—
46#2854C2212yes—
47#2854C2212yes—
48#2851C2212yescomplemented
49#2851C2212yescomplemented
50#2849C2214yes—
51#2848C2214yes—
52#2841C2214yescomplemented
53#2838C2214yescomplemented
54#2838C2214yescomplemented
55#2837C2214yescomplemented
56#2837C2214yescomplemented
57#2836C2214yescomplemented
58#2836C2214yescomplemented
59#2836C2214yescomplemented
60#2834C2214yescomplemented
61#2831C2214yescomplemented
62#2831C2214yescomplemented
63#2830C2214yescomplemented
64#2827C2214yescomplemented
65#2827C2214yescomplemented
66#2827C2214yescomplemented
67#2823C2214yescomplemented
68#2823C2214yescomplemented
69#2821C2214yescomplemented
70#2820C2214yescomplemented
71#2814C2214yescomplemented
72#2793C2214yescomplemented
73#2793C2214yescomplemented
74#2787C2214yescomplemented
75#2777C2214yescomplemented
76#2773C2214yescomplemented
77#2773C2214yescomplemented
78#2770C2214yescomplemented
79#2770C2214yescomplemented
80#2765C2214yescomplemented
81#2764C2214yescomplemented
82#2745C2214yescomplemented
83#2745C2214yescomplemented
84#2738C2214yescomplemented
85#2731C2214yescomplemented
86#2728C2214yescomplemented
87#2727C2214yescomplemented
88#2724C2214yescomplemented
89#2723C2214yescomplemented
90#2722C2214yescomplemented
91#2721C2214yescomplemented
92#2721C2214yescomplemented
93#2720C2214yescomplemented
94#2718C2214yescomplemented
95#2718C2214yescomplemented
96#2718C2214yescomplemented
97#2717C2214yescomplemented
98#2716C2214yescomplemented
99#2715C2214yescomplemented
100#2715C2214yescomplemented
101#2715C2214yescomplemented
102#2707C2214yescomplemented
103#2707C2214yescomplemented
104#2707C2214yescomplemented
105#2702C2214yescomplemented
106#2698C2214yescomplemented
107#2695C2214yescomplemented
108#2695C2214yescomplemented
109#2690C2214yescomplemented
110#2680C2214yescomplemented
111#2674C2214yescomplemented
112#2647C2212yescomplemented
113#2647C2212yescomplemented
114#2641C2212yes—
115#2640C2212yes—
116#2629C2212yescomplemented
117#2629C2212yescomplemented
118#2626C2214yes—
119#2624C2212yes—
120#2624C2212yes—
121#2622C2214yes—
122#2584C2212yescomplemented
123#2584C2212yescomplemented
124#2583C2214yes—
125#2580C2212yes—
126#2580C2212yes—
127#2579C2214yes—
128#2579C2214yes—
129#2571C2211yescharacteristic, complemented
130#2571C2211yescharacteristic, complemented
131#2570C2211yescharacteristic, complemented
132#2570C2211yescharacteristic, complemented
133#2570C2211yescharacteristic, complemented
134#2570C2211yescharacteristic, complemented
135#2569C2212yes—
136#2569C2212yes—
137#2567C2212yescomplemented
138#2566C2212yes—
139#2566C2212yes—
140#2566C2212yescomplemented
141#2566C2212yescomplemented
142#2565C2212yescomplemented
143#2565C2212yescomplemented
144#2563C2212yes—
145#2552C2212yescomplemented
146#2552C2212yescomplemented
147#2552C2212yescomplemented
148#2552C2211yescharacteristic, complemented
149#2552C2212yescomplemented
150#2552C2212yescomplemented
151#2552C2211yescharacteristic, complemented
152#2551C2212yescomplemented
153#2550C2212yescomplemented
154#2550C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2550C2212yescomplemented
158#2550C2212yescomplemented
159#2549C2214yes—
160#2546C2212yescomplemented
161#2542C2212yes—
162#2538C2212yes—
163#2538C2212yes—
164#2514C2212yescomplemented
165#2514C2212yescomplemented
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2513C2212yescomplemented
175#2513C2212yescomplemented
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2512C2212yes—
180#2512C2212yes—
181#2512C2212yes—
182#2512C2212yes—
183#2512C2212yes—
184#2512C2212yescomplemented
185#2512C2212yescomplemented
186#2511C2212yescomplemented
187#2511C2212yescomplemented
188#2510C2214yes—
189#2510C2214yes—
190#2509C2212yescomplemented
191#2508C2212yescomplemented
192#2507C2212yescomplemented
193#2506C2212yescomplemented
194#2505C2214yes—
195#2502C2214yes—
196#2497C2212yescomplemented
197#2497C2212yescomplemented
198#2496C2212yescomplemented
199#2496C2212yescomplemented
200#2495C2212yescomplemented
201#2495C2212yescomplemented
202#2494C2212yescomplemented
203#2494C2212yescomplemented
204#2491C2212yes—
205#2491C2212yes—
206#2490C2212yes—
207#2490C2212yes—
208#2481C2214yes—
209#2481C2214yes—
210#2480C2214yes—
211#2480C2214yes—
212#2480C2214yes—
213#2480C2214yes—
214#2473C2214yes—
215#2472C2214yes—
216#2472C2214yes—
217#2454C2212yes—
218#2454C2212yes—
219#2454C2212yes—
220#2454C2212yes—
221#2454C2212yes—
222#2454C2212yes—
223#2454C2212yes—
224#2454C2212yes—
225#2454C2211yescharacteristic, complemented
226#2454C2211yescharacteristic, complemented
227#2453C2211yescharacteristic, complemented
228#2453C2211yescharacteristic, complemented
229#2452C2211yescharacteristic, complemented
230#2452C2211yescharacteristic, complemented
231#2451C2211yescharacteristic, complemented
232#2451C2211yescharacteristic, complemented
233#2450C2212yes—
234#2450C2212yes—
235#2449C2212yes—
236#2449C2212yes—
237#2448C2212yes—
238#2448C2212yes—
239#2447C2212yes—
240#2447C2212yes—
241#2445C2212yes—
242#2445C2212yes—
243#2445C2212yes—
244#2445C2212yes—
245#2442C2212yes—
246#2442C2212yes—
247#2440C2214yes—
248#2422C2212yes—
249#2422C2212yes—
250#2420C2212yes—
251#2420C2212yes—
252#2418C2214yes—
253#2418C2214yes—
254#2402C2212yescomplemented
255#2402C2212yescomplemented
256#2396C2212yescomplemented
257#2396C2212yescomplemented
258C2×#399C2212yes—
259C2×#396C2212yes—
260#2383C2214yescomplemented
261#2379C2214yescomplemented
262#2378C2214yescomplemented
263#2376C2214yescomplemented
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2316C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276C4×#125C2212yescomplemented
277C4×#125C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#385C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#380C2212yes—
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#544—44no—
303#535—44no—
304#533—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×#127C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125—44no—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#120C2314yes—
346C4×#41—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4—44no—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
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#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2312yes—
495#396C2312yes—
496#395C2314yes—
497#395C2314yes—
498#395C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2314yes—
521#393C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2314yes—
716#384C2314yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#384C2314yes—
726#383C2314yes—
727#383C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2414yes—
833C23×C4—44no—
834C23×C4—44no—
835C23×C4—82no—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—42no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—84no—
856#127—44no—
857#126—48no—
858#126—84no—
859#126—84no—
860#126—84no—
861#126—84no—
862#126—84no—
863#125—44no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—42no—
869#125—42no—
870#125—44no—
871#125—44no—
872#125—44no—
873#125—84no—
874#124—48no—
875#124—44no—
876#124—84no—
877#123—48no—
878#123—84no—
879#123—84no—
880#123—84no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—84no—
888#121—44no—
889#121—44no—
890#120—48no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—42no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—44no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4—82no—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—82no—
1010C2×C22⋊C4—82no—
1011C2×C22⋊C4—82no—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
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#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166C24—24no—
1167C24—24no—
1168C24—24no—
1169C24—42no—
1170C24—42no—
1171C24—42no—
1172C24—42no—
1173C24C2514yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176#41—416no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—416no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—28no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—816no—
1251C22×C4H(5,𝔽2)14yes—
1252C22×C42−1+414yes—
1253C22×C42−1+414yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
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—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—22no—
1461C23—22no—
1462C23—24no—
1463C23—24no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—48no—
1468C23—48no—
1469C23—48no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23C2×H(5,𝔽2)12yes—
1475C23C2×2−1+412yes—
1476C23C2×2−1+412yes—
1477C23C2611yescharacteristic
1478Q8—44no—
1479Q8—84no—
1480Q8—84no—
1481Q8—164no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—44no—
1486D4—164no—
1487D4—164no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—88no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—88no—
1590C2×C4#563116yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4#58512yes—
1598C2×C4#58512yes—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—44no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—44no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—44no—
1619C22—816no—
1620C22C2×#56314yes—
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C22×2−1+411yescharacteristic
1623C22C22×2−1+411yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22H(7,𝔽2)11yescharacteristic
1627C22H(7,𝔽2)11yescharacteristic
1628C4—22no—
1629C4—22no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—41no—
1634C4—41no—
1635C4—44no—
1636C4—44no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—42no—
1654C4—41no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4C2×#56314yes—
1659C4C2×#56314yes—
1660C2—24no—
1661C2—82no—
1662C2—84no—
1663C2C22×#56311yescharacteristic
1664C2#6283111yescharacteristic
1665C2#6288111yescharacteristic
1666C2#6292411yescharacteristic
1667C2#6292611yescharacteristic
1668C2#6292611yescharacteristic
1669C2#6295511yescharacteristic
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. #53155C2semidirect
2. #53132C2semidirect
3. #53123C2semidirect
4. #53104C2semidirect
5. #53035C2semidirect
6. #53020C2semidirect
7. #52997C2semidirect
8. #52980C2semidirect
9. #52426C2semidirect
10. #52344C2semidirect
11. #46105C2semidirect
12. #46082C2semidirect
13. #46056C2semidirect
14. #46014C2semidirect
15. #45715C2semidirect
16. #45702C2semidirect
17. #45640C2semidirect
18. #45595C2semidirect
19. #45531C2semidirect
20. #45463C2semidirect
21. #35640C2semidirect
22. #35566C2semidirect
23. #35558C2semidirect
24. #35558C2semidirect
25. #35545C2semidirect
26. #35545C2semidirect
27. #35333C2semidirect
28. #35265C2semidirect
31. #35172C2semidirect
33. #34948C2semidirect
34. #34745C2semidirect
35. C2×#2454C2semidirect
42. #2864C22semidirect
44. #2859C22semidirect
48. #2851C22semidirect
49. #2851C22semidirect
52. #2841C22semidirect
53. #2838C22semidirect
54. #2838C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2836C22semidirect
58. #2836C22semidirect
59. #2836C22semidirect
60. #2834C22semidirect
61. #2831C22semidirect
62. #2831C22semidirect
63. #2830C22semidirect
64. #2827C22semidirect
65. #2827C22semidirect
66. #2827C22semidirect
67. #2823C22semidirect
68. #2823C22semidirect
69. #2821C22semidirect
70. #2820C22semidirect
71. #2814C22semidirect
72. #2793C22semidirect
73. #2793C22semidirect
74. #2787C22semidirect
75. #2777C22semidirect
76. #2773C22semidirect
77. #2773C22semidirect
78. #2770C22semidirect
79. #2770C22semidirect
80. #2765C22semidirect
81. #2764C22semidirect
82. #2745C22semidirect
83. #2745C22semidirect
84. #2738C22semidirect
85. #2731C22semidirect
86. #2728C22semidirect
87. #2727C22semidirect
88. #2724C22semidirect
89. #2723C22semidirect
90. #2722C22semidirect
91. #2721C22semidirect
92. #2721C22semidirect
93. #2720C22semidirect
94. #2718C22semidirect
95. #2718C22semidirect
96. #2718C22semidirect
97. #2717C22semidirect
98. #2716C22semidirect
99. #2715C22semidirect
100. #2715C22semidirect
101. #2715C22semidirect
102. #2707C22semidirect
103. #2707C22semidirect
104. #2707C22semidirect
105. #2702C22semidirect
106. #2698C22semidirect
107. #2695C22semidirect
108. #2695C22semidirect
109. #2690C22semidirect
110. #2680C22semidirect
111. #2674C22semidirect
112. #2647C22semidirect
113. #2647C22semidirect
116. #2629C22semidirect
117. #2629C22semidirect
122. #2584C22semidirect
123. #2584C22semidirect
129. #2571C22semidirect
130. #2571C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2570C22semidirect
134. #2570C22semidirect
137. #2567C22semidirect
140. #2566C22semidirect
141. #2566C22semidirect
142. #2565C22semidirect
143. #2565C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
147. #2552C22semidirect
148. #2552C22semidirect
149. #2552C22semidirect
150. #2552C22semidirect
151. #2552C22semidirect
152. #2551C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
157. #2550C22semidirect
158. #2550C22semidirect
160. #2546C22semidirect
164. #2514C22semidirect
165. #2514C22semidirect
174. #2513C22semidirect
175. #2513C22semidirect
184. #2512C22semidirect
185. #2512C22semidirect
186. #2511C22semidirect
187. #2511C22semidirect
190. #2509C22semidirect
191. #2508C22semidirect
192. #2507C22semidirect
193. #2506C22semidirect
196. #2497C22semidirect
197. #2497C22semidirect
198. #2496C22semidirect
199. #2496C22semidirect
200. #2495C22semidirect
201. #2495C22semidirect
202. #2494C22semidirect
203. #2494C22semidirect
225. #2454C22semidirect
226. #2454C22semidirect
227. #2453C22semidirect
228. #2453C22semidirect
229. #2452C22semidirect
230. #2452C22semidirect
231. #2451C22semidirect
232. #2451C22semidirect
254. #2402C22semidirect
255. #2402C22semidirect
256. #2396C22semidirect
257. #2396C22semidirect
260. #2383C22semidirect
261. #2379C22semidirect
262. #2378C22semidirect
263. #2376C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#531552
#531322
#531232
#531042
#530352
#530202
#529972
#529802
#524262
#523442
#461052
#460822
#460562
#460142
#457152
#457022
#456402
#455952
#455312
#454632
#356402
#355662
#355582
#355452
#353332
#352652
#352642
#352542
#351722
#351522
#349482
#347452
C2×#24542