Finite Group Databasebeta

← #8094756

Subgroups — #8094756

Order 512.

4768 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53125C212yesmaximal, complemented
2#53118C212yesmaximal, complemented
3#53111C212yesmaximal, complemented
4#53109C212yesmaximal, complemented
5#52998C212yesmaximal, complemented
6#52997C212yesmaximal, complemented
7#52983C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#52371C214yesmaximal, complemented
10#52318C214yesmaximal, complemented
11#46113C212yesmaximal, complemented
12#46075C212yesmaximal, complemented
13#46056C212yesmaximal, complemented
14#45998C212yesmaximal, complemented
15#45654C212yesmaximal, complemented
16#45633C212yesmaximal, complemented
17#45561C214yesmaximal, complemented
18#45513C212yesmaximal, complemented
19#45485C212yesmaximal, complemented
20#45446C214yesmaximal, complemented
21#35576C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35558C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#35279C211yesmaximal, 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×#2452C211yesmaximal, characteristic, complemented
36C2×#563C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2864C2212yescomplemented
45#2861C2212yes—
46#2859C2212yescomplemented
47#2858C2212yes—
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2854C2212yes—
51#2854C2212yes—
52#2849C2214yes—
53#2848C2214yes—
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2838C2214yescomplemented
58#2837C2214yescomplemented
59#2837C2214yescomplemented
60#2836C2214yescomplemented
61#2835C2214yescomplemented
62#2832C2214yescomplemented
63#2832C2214yescomplemented
64#2831C2214yescomplemented
65#2831C2214yescomplemented
66#2830C2214yescomplemented
67#2827C2214yescomplemented
68#2821C2214yescomplemented
69#2820C2214yescomplemented
70#2817C2214yescomplemented
71#2814C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2787C2214yescomplemented
75#2777C2214yescomplemented
76#2775C2214yescomplemented
77#2775C2214yescomplemented
78#2771C2214yescomplemented
79#2765C2214yescomplemented
80#2759C2214yescomplemented
81#2759C2214yescomplemented
82#2738C2214yescomplemented
83#2731C2214yescomplemented
84#2729C2214yescomplemented
85#2729C2214yescomplemented
86#2728C2214yescomplemented
87#2727C2214yescomplemented
88#2725C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2720C2214yescomplemented
94#2718C2214yescomplemented
95#2717C2214yescomplemented
96#2716C2214yescomplemented
97#2715C2214yescomplemented
98#2707C2214yescomplemented
99#2702C2214yescomplemented
100#2702C2214yescomplemented
101#2702C2214yescomplemented
102#2698C2214yescomplemented
103#2695C2214yescomplemented
104#2695C2214yescomplemented
105#2690C2214yescomplemented
106#2689C2214yescomplemented
107#2689C2214yescomplemented
108#2683C2214yescomplemented
109#2680C2214yescomplemented
110#2677C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2647C2212yescomplemented
115#2647C2212yescomplemented
116#2641C2212yes—
117#2640C2212yes—
118#2628C2212yescomplemented
119#2628C2212yescomplemented
120#2626C2214yes—
121#2624C2212yes—
122#2624C2212yes—
123#2622C2214yes—
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2583C2214yes—
127#2580C2212yes—
128#2580C2212yes—
129#2571C2211yescharacteristic, complemented
130#2571C2211yescharacteristic, complemented
131#2570C2211yescharacteristic, complemented
132#2570C2211yescharacteristic, complemented
133#2570C2211yescharacteristic, complemented
134#2570C2211yescharacteristic, complemented
135#2569C2212yes—
136#2569C2212yes—
137#2568C2212yescomplemented
138#2567C2212yescomplemented
139#2567C2212yescomplemented
140#2566C2212yes—
141#2566C2212yes—
142#2563C2212yes—
143#2563C2212yescomplemented
144#2552C2212yescomplemented
145#2552C2211yescharacteristic, complemented
146#2552C2211yescharacteristic, complemented
147#2551C2212yescomplemented
148#2551C2212yescomplemented
149#2551C2212yescomplemented
150#2551C2212yescomplemented
151#2551C2212yescomplemented
152#2550C2212yescomplemented
153#2550C2212yescomplemented
154#2550C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2550C2212yescomplemented
158#2549C2214yes—
159#2546C2212yescomplemented
160#2542C2212yes—
161#2542C2212yescomplemented
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#2497C2212yescomplemented
196#2497C2212yescomplemented
197#2496C2212yescomplemented
198#2496C2212yescomplemented
199#2495C2212yescomplemented
200#2495C2212yescomplemented
201#2494C2212yescomplemented
202#2494C2212yescomplemented
203#2491C2212yes—
204#2491C2212yes—
205#2490C2212yes—
206#2490C2212yes—
207#2487C2214yes—
208#2481C2214yes—
209#2481C2214yes—
210#2480C2214yes—
211#2480C2214yes—
212#2480C2214yes—
213#2480C2214yes—
214#2473C2214yes—
215#2472C2214yes—
216#2472C2214yes—
217#2454C2211yescharacteristic, complemented
218#2454C2211yescharacteristic, complemented
219#2453C2211yescharacteristic, complemented
220#2453C2211yescharacteristic, complemented
221#2452C2212yes—
222#2452C2212yes—
223#2452C2212yes—
224#2452C2212yes—
225#2452C2212yes—
226#2452C2212yes—
227#2452C2212yes—
228#2452C2212yes—
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#2434C2214yes—
249#2422C2212yes—
250#2422C2212yes—
251#2420C2212yes—
252#2420C2212yes—
253#2418C2214yes—
254#2418C2214yes—
255#2409C2214yes—
256#2402C2212yescomplemented
257#2402C2212yescomplemented
258#2396C2212yescomplemented
259#2396C2212yescomplemented
260C2×#396C2212yes—
261C2×#393C2212yes—
262#2383C2214yescomplemented
263#2378C2214yescomplemented
264#2376C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276#2309C2211yescharacteristic
277C4×#125C2212yescomplemented
278C4×#125C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#385C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#563—416no—
304#544—44no—
305#535—44no—
306#533—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2314yes—
319C2×#127C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8—48no—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#120C2314yes—
357C4×#41—44no—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×D4—44no—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396#401C2314yes—
397#401C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
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#397C2314yes—
475#397C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2312yes—
506#395C2314yes—
507#395C2314yes—
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#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2314yes—
531#393C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2314yes—
540#391C2311yescharacteristic
541#391C2314yes—
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2312yes—
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#390C2314yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
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#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2314yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#383C2314yes—
731#383C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2312yes—
745#382C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
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⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4—82no—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—48no—
867C4⋊Q8—48no—
868C4⋊Q8—84no—
869#127—44no—
870#126—48no—
871#126—48no—
872#126—48no—
873#126—48no—
874#126—48no—
875#126—84no—
876#125—28no—
877#125—42no—
878#125—42no—
879#125—44no—
880#125—44no—
881#125—48no—
882#125—44no—
883#124—48no—
884#124—44no—
885#124—84no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—84no—
890C22⋊Q8—216no—
891C22⋊Q8—28no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—84no—
902C22⋊Q8—84no—
903#121—44no—
904#121—44no—
905#120—48no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×Q8—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—44no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4—44no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—82no—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—24no—
1074C2×C42—44no—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
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#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—
1178C24—24no—
1179C24—24no—
1180C24—24no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24—42no—
1185C24C2514yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—416no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—28no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—816no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—416no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—816no—
1270C22×C4H(5,𝔽2)14yes—
1271C22×C42−1+414yes—
1272C22×C42−1+414yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4H(5,𝔽2)14yes—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
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—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—24no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—22no—
1484C23—48no—
1485C23—48no—
1486C23—48no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—84no—
1491C23C2×H(5,𝔽2)12yes—
1492C23C2×2−1+412yes—
1493C23C2×2−1+412yes—
1494C23C2611yescharacteristic
1495Q8—44no—
1496Q8—84no—
1497Q8—88no—
1498Q8—84no—
1499Q8—88no—
1500Q8—164no—
1501D4—48no—
1502D4—48no—
1503D4—48no—
1504D4—44no—
1505D4—164no—
1506D4—164no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—84no—
1603C2×C4—82no—
1604C2×C4—82no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4#563116yescomplemented
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—44no—
1638C22—816no—
1639C22C2×#56314yes—
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22H(7,𝔽2)11yescharacteristic
1646C222−1+611yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—42no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—44no—
1659C4—41no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4C2×#56314yes—
1678C4C2×#56314yes—
1679C2—24no—
1680C2—82no—
1681C2—84no—
1682C2C22×#56311yescharacteristic
1683C2#6283511yescharacteristic
1684C2#6287911yescharacteristic
1685C2#6291211yescharacteristic
1686C2#6291311yescharacteristic
1687C2#6292611yescharacteristic
1688C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53125C2semidirect
2. #53118C2semidirect
3. #53111C2semidirect
4. #53109C2semidirect
5. #52998C2semidirect
6. #52997C2semidirect
7. #52983C2semidirect
8. #52974C2semidirect
9. #52371C2semidirect
10. #52318C2semidirect
11. #46113C2semidirect
12. #46075C2semidirect
13. #46056C2semidirect
14. #45998C2semidirect
15. #45654C2semidirect
16. #45633C2semidirect
17. #45561C2semidirect
18. #45513C2semidirect
19. #45485C2semidirect
20. #45446C2semidirect
21. #35576C2semidirect
22. #35566C2semidirect
23. #35558C2semidirect
24. #35558C2semidirect
25. #35545C2semidirect
26. #35545C2semidirect
27. #35279C2semidirect
28. #35265C2semidirect
31. #35172C2semidirect
33. #34948C2semidirect
34. #34745C2semidirect
35. C2×#2452C2semidirect
36. C2×#563C22semidirect
44. #2864C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2838C22semidirect
58. #2837C22semidirect
59. #2837C22semidirect
60. #2836C22semidirect
61. #2835C22semidirect
62. #2832C22semidirect
63. #2832C22semidirect
64. #2831C22semidirect
65. #2831C22semidirect
66. #2830C22semidirect
67. #2827C22semidirect
68. #2821C22semidirect
69. #2820C22semidirect
70. #2817C22semidirect
71. #2814C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2787C22semidirect
75. #2777C22semidirect
76. #2775C22semidirect
77. #2775C22semidirect
78. #2771C22semidirect
79. #2765C22semidirect
80. #2759C22semidirect
81. #2759C22semidirect
82. #2738C22semidirect
83. #2731C22semidirect
84. #2729C22semidirect
85. #2729C22semidirect
86. #2728C22semidirect
87. #2727C22semidirect
88. #2725C22semidirect
89. #2725C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2720C22semidirect
94. #2718C22semidirect
95. #2717C22semidirect
96. #2716C22semidirect
97. #2715C22semidirect
98. #2707C22semidirect
99. #2702C22semidirect
100. #2702C22semidirect
101. #2702C22semidirect
102. #2698C22semidirect
103. #2695C22semidirect
104. #2695C22semidirect
105. #2690C22semidirect
106. #2689C22semidirect
107. #2689C22semidirect
108. #2683C22semidirect
109. #2680C22semidirect
110. #2677C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
114. #2647C22semidirect
115. #2647C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
129. #2571C22semidirect
130. #2571C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2570C22semidirect
134. #2570C22semidirect
137. #2568C22semidirect
138. #2567C22semidirect
139. #2567C22semidirect
143. #2563C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
147. #2551C22semidirect
148. #2551C22semidirect
149. #2551C22semidirect
150. #2551C22semidirect
151. #2551C22semidirect
152. #2550C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
157. #2550C22semidirect
159. #2546C22semidirect
161. #2542C22semidirect
164. #2514C22semidirect
165. #2514C22semidirect
174. #2513C22semidirect
175. #2513C22semidirect
184. #2512C22semidirect
185. #2512C22semidirect
186. #2511C22semidirect
187. #2511C22semidirect
190. #2509C22semidirect
191. #2508C22semidirect
192. #2507C22semidirect
193. #2506C22semidirect
195. #2497C22semidirect
196. #2497C22semidirect
197. #2496C22semidirect
198. #2496C22semidirect
199. #2495C22semidirect
200. #2495C22semidirect
201. #2494C22semidirect
202. #2494C22semidirect
217. #2454C22semidirect
218. #2454C22semidirect
219. #2453C22semidirect
220. #2453C22semidirect
229. #2452C22semidirect
230. #2452C22semidirect
231. #2451C22semidirect
232. #2451C22semidirect
256. #2402C22semidirect
257. #2402C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
262. #2383C22semidirect
263. #2378C22semidirect
264. #2376C22semidirect
277. C4×#125C22semidirect
278. C4×#125C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
1607. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531252
#531182
#531112
#531092
#529982
#529972
#529832
#529742
#523712
#523182
#461132
#460752
#460562
#459982
#456542
#456332
#455612
#455132
#454852
#454462
#355762
#355662
#355582
#355452
#352792
#352652
#352642
#352542
#351722
#351522
#349482
#347452
C2×#24522