Finite Group Databasebeta

← #8095299

Subgroups — #8095299

Order 512.

4431 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53139C212yesmaximal, complemented
2#53107C212yesmaximal, complemented
3#53067C212yesmaximal, complemented
4#53048C212yesmaximal, complemented
5#53020C212yesmaximal, complemented
6#53017C212yesmaximal, complemented
7#52978C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#52508C214yesmaximal, complemented
10#52473C214yesmaximal, complemented
11#46085C214yesmaximal, complemented
12#46041C214yesmaximal, complemented
13#45690C212yesmaximal, complemented
14#45654C212yesmaximal, complemented
15#45648C212yesmaximal, complemented
16#45640C212yesmaximal, complemented
17#45605C212yesmaximal, complemented
18#45523C212yesmaximal, complemented
19#45502C212yesmaximal, complemented
20#45499C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35555C211yesmaximal, characteristic, complemented
24#35545C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic
27#35280C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic
29#35257C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35167C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33C2×#2497C211yesmaximal, characteristic, complemented
34#34742C211yesmaximal, characteristic
35#34739C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2857C2214yes—
43#2857C2212yes—
44#2857C2212yescomplemented
45#2857C2212yescomplemented
46#2857C2212yescomplemented
47#2855C2212yes—
48#2854C2212yes—
49#2852C2214yes—
50#2851C2212yes—
51#2851C2212yescomplemented
52#2841C2214yes—
53#2841C2214yescomplemented
54#2839C2214yescomplemented
55#2839C2214yescomplemented
56#2838C2214yes—
57#2838C2214yescomplemented
58#2837C2214yes—
59#2836C2214yes—
60#2836C2214yes—
61#2833C2214yescomplemented
62#2833C2214yescomplemented
63#2831C2214yes—
64#2831C2214yescomplemented
65#2831C2214yescomplemented
66#2831C2214yescomplemented
67#2827C2214yes—
68#2823C2214yes—
69#2822C2214yescomplemented
70#2820C2214yes—
71#2814C2214yes—
72#2805C2214yescomplemented
73#2799C2214yescomplemented
74#2793C2214yescomplemented
75#2791C2214yescomplemented
76#2791C2214yescomplemented
77#2787C2214yes—
78#2787C2214yescomplemented
79#2777C2214yes—
80#2777C2214yescomplemented
81#2776C2214yescomplemented
82#2774C2214yescomplemented
83#2774C2214yescomplemented
84#2770C2214yescomplemented
85#2769C2214yescomplemented
86#2765C2214yes—
87#2764C2214yes—
88#2762C2214yescomplemented
89#2759C2214yes—
90#2731C2214yes—
91#2729C2214yes—
92#2729C2214yes—
93#2725C2214yes—
94#2725C2214yescomplemented
95#2721C2214yes—
96#2721C2214yescomplemented
97#2720C2214yes—
98#2715C2214yes—
99#2713C2214yescomplemented
100#2707C2214yes—
101#2707C2214yes—
102#2702C2214yes—
103#2702C2214yes—
104#2698C2214yescomplemented
105#2695C2214yes—
106#2690C2214yescomplemented
107#2689C2214yescomplemented
108#2683C2214yes—
109#2680C2214yes—
110#2677C2214yescomplemented
111#2674C2214yes—
112#2659C2214yes—
113#2643C2214yes—
114#2629C2212yes—
115#2629C2212yescomplemented
116#2629C2212yescomplemented
117#2629C2212yescomplemented
118#2628C2212yes—
119#2628C2212yescomplemented
120#2625C2212yes—
121#2624C2212yes—
122#2584C2212yescomplemented
123#2584C2212yescomplemented
124#2582C2212yescomplemented
125#2582C2212yescomplemented
126#2570C2212yescomplemented
127#2570C2212yescomplemented
128#2569C2214yes—
129#2567C2212yescomplemented
130#2563C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2552C2212yescomplemented
134#2552C2212yescomplemented
135#2552C2212yescomplemented
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2551C2212yescomplemented
139#2551C2212yescomplemented
140#2551C2212yescomplemented
141#2550C2212yescomplemented
142#2550C2212yescomplemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2549C2214yes—
148#2547C2212yes—
149#2546C2212yescomplemented
150#2538C2212yescomplemented
151#2538C2212yescomplemented
152#2514C2212yescomplemented
153#2514C2212yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2511C2212yescomplemented
159#2511C2212yescomplemented
160#2510C2214yes—
161#2509C2212yescomplemented
162#2509C2212yescomplemented
163#2508C2212yescomplemented
164#2508C2212yescomplemented
165#2507C2212yescomplemented
166#2507C2212yescomplemented
167#2507C2212yescomplemented
168#2507C2212yescomplemented
169#2506C2212yescomplemented
170#2506C2212yescomplemented
171#2506C2212yescomplemented
172#2506C2212yescomplemented
173#2498C2214yes—
174#2497C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2497C2212yes—
183#2497C2212yes—
184#2497C2212yescomplemented
185#2497C2212yescomplemented
186#2496C2212yes—
187#2496C2212yes—
188#2496C2212yescomplemented
189#2496C2212yescomplemented
190#2495C2212yes—
191#2495C2212yes—
192#2495C2212yescomplemented
193#2495C2212yescomplemented
194#2494C2212yes—
195#2494C2212yes—
196#2494C2212yescomplemented
197#2494C2212yescomplemented
198#2493C2214yes—
199#2492C2212yes—
200#2491C2212yes—
201#2490C2212yes—
202#2489C2212yes—
203#2488C2214yes—
204#2487C2212yes—
205#2486C2212yes—
206#2485C2212yes—
207#2485C2212yes—
208#2481C2214yes—
209#2480C2214yes—
210#2473C2214yes—
211#2473C2214yes—
212#2472C2214yes—
213#2454C2212yescomplemented
214#2453C2212yescomplemented
215#2452C2212yescomplemented
216#2451C2212yescomplemented
217#2450C2214yes—
218#2449C2214yes—
219#2442C2214yes—
220#2442C2211yescharacteristic
221#2442C2212yes—
222#2442C2211yescharacteristic
223#2441C2212yes—
224#2441C2211yescharacteristic
225#2441C2211yescharacteristic
226#2440C2211yescharacteristic
227#2440C2211yescharacteristic
228#2440C2212yes—
229#2440C2214yes—
230#2439C2211yescharacteristic
231#2439C2212yes—
232#2439C2211yescharacteristic
233#2438C2212yes—
234#2438C2214yes—
235#2438C2212yes—
236#2437C2212yes—
237#2437C2214yes—
238#2437C2212yes—
239#2423C2211yescharacteristic
240#2423C2211yescharacteristic
241#2422C2211yescharacteristic
242#2422C2211yescharacteristic
243#2421C2211yescharacteristic
244#2421C2211yescharacteristic
245#2420C2211yescharacteristic
246#2420C2211yescharacteristic
247#2419C2212yes—
248#2419C2212yes—
249#2418C2212yes—
250#2418C2212yes—
251#2417C2214yes—
252#2417C2214yes—
253#2412C2214yes—
254#2396C2212yes—
255#2396C2212yes—
256#2395C2212yes—
257#2395C2212yes—
258C2×#400C2212yes—
259C2×#396C2212yes—
260#2381C2214yescomplemented
261#2378C2214yes—
262#2378C2214yescomplemented
263#2376C2214yes—
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#388C2212yes—
287C2×#387C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—44no—
302#544—44no—
303#533—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2314yes—
325#525—44no—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#120C2312yes—
345C4×#41—44no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×#117—44no—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#399C2312yes—
425#399C2314yes—
426#399C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
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#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2312yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#393C2314yes—
520#393C2314yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2314yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2312yes—
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#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#379C2312yes—
770#379C2312yes—
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⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—42no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—48no—
858C4⋊Q8—84no—
859#126—84no—
860#126—84no—
861#126—84no—
862#125—42no—
863#125—42no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—84no—
869#125—84no—
870#125—84no—
871#124—84no—
872#123—28no—
873#123—44no—
874#123—44no—
875#123—84no—
876C22⋊Q8—28no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888#121—42no—
889#121—42no—
890#120—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—44no—
909#117—44no—
910#117—44no—
911#117—42no—
912#117—42no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—42no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—82no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4—82no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C22⋊C4—24no—
1008C2×C22⋊C4—42no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—82no—
1011C2×C22⋊C4—82no—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42—82no—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
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#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
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—
1166#95C2414yes—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24C2511yescharacteristic
1175C24C2512yes—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178#41—416no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—416no—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C42−1+414yes—
1263C22×C42−1+414yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
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—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
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—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C42−1+414yes—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—82no—
1480C23—82no—
1481C23—82no—
1482C23C2×H(5,𝔽2)12yes—
1483C23C2×2−1+412yes—
1484C23C2×2−1+412yes—
1485C23C2×2−1+412yes—
1486C23C2611yescharacteristic
1487Q8—44no—
1488Q8—84no—
1489Q8—84no—
1490Q8—164no—
1491Q8—164no—
1492D4—48no—
1493D4—44no—
1494D4—84no—
1495D4—84no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—82no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4#563116yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—88no—
1636C22C2×#56314yes—
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—44no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—44no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4C2×#56314yes—
1674C4C2×#56314yes—
1675C2—24no—
1676C2—42no—
1677C2—82no—
1678C2—81no—
1679C2C22×#56311yescharacteristic
1680C2#6283711yescharacteristic
1681C2#6288111yescharacteristic
1682C2#6292911yescharacteristic
1683C2#6294411yescharacteristic
1684C2#6294511yescharacteristic
1685C2#6295711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53139C2semidirect
2. #53107C2semidirect
3. #53067C2semidirect
4. #53048C2semidirect
5. #53020C2semidirect
6. #53017C2semidirect
7. #52978C2semidirect
8. #52974C2semidirect
9. #52508C2semidirect
10. #52473C2semidirect
11. #46085C2semidirect
12. #46041C2semidirect
13. #45690C2semidirect
14. #45654C2semidirect
15. #45648C2semidirect
16. #45640C2semidirect
17. #45605C2semidirect
18. #45523C2semidirect
19. #45502C2semidirect
20. #45499C2semidirect
21. #35585C2semidirect
22. #35566C2semidirect
23. #35555C2semidirect
24. #35545C2semidirect
25. #35544C2semidirect
27. #35280C2semidirect
29. #35257C2semidirect
30. #35253C2semidirect
31. #35167C2semidirect
32. #35160C2semidirect
33. C2×#2497C2semidirect
35. #34739C2semidirect
44. #2857C22semidirect
45. #2857C22semidirect
46. #2857C22semidirect
51. #2851C22semidirect
53. #2841C22semidirect
54. #2839C22semidirect
55. #2839C22semidirect
57. #2838C22semidirect
61. #2833C22semidirect
62. #2833C22semidirect
64. #2831C22semidirect
65. #2831C22semidirect
66. #2831C22semidirect
69. #2822C22semidirect
72. #2805C22semidirect
73. #2799C22semidirect
74. #2793C22semidirect
75. #2791C22semidirect
76. #2791C22semidirect
78. #2787C22semidirect
80. #2777C22semidirect
81. #2776C22semidirect
82. #2774C22semidirect
83. #2774C22semidirect
84. #2770C22semidirect
85. #2769C22semidirect
88. #2762C22semidirect
94. #2725C22semidirect
96. #2721C22semidirect
99. #2713C22semidirect
104. #2698C22semidirect
106. #2690C22semidirect
107. #2689C22semidirect
110. #2677C22semidirect
115. #2629C22semidirect
116. #2629C22semidirect
117. #2629C22semidirect
119. #2628C22semidirect
122. #2584C22semidirect
123. #2584C22semidirect
124. #2582C22semidirect
125. #2582C22semidirect
126. #2570C22semidirect
127. #2570C22semidirect
129. #2567C22semidirect
133. #2552C22semidirect
134. #2552C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2551C22semidirect
139. #2551C22semidirect
140. #2551C22semidirect
141. #2550C22semidirect
142. #2550C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
149. #2546C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
152. #2514C22semidirect
153. #2514C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2511C22semidirect
159. #2511C22semidirect
161. #2509C22semidirect
162. #2509C22semidirect
163. #2508C22semidirect
164. #2508C22semidirect
165. #2507C22semidirect
166. #2507C22semidirect
167. #2507C22semidirect
168. #2507C22semidirect
169. #2506C22semidirect
170. #2506C22semidirect
171. #2506C22semidirect
172. #2506C22semidirect
184. #2497C22semidirect
185. #2497C22semidirect
188. #2496C22semidirect
189. #2496C22semidirect
192. #2495C22semidirect
193. #2495C22semidirect
196. #2494C22semidirect
197. #2494C22semidirect
213. #2454C22semidirect
214. #2453C22semidirect
215. #2452C22semidirect
216. #2451C22semidirect
260. #2381C22semidirect
262. #2378C22semidirect

Maximal subgroups

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

subgroupindex
#531392
#531072
#530672
#530482
#530202
#530172
#529782
#529742
#525082
#524732
#460852
#460412
#456902
#456542
#456482
#456402
#456052
#455232
#455022
#454992
#355852
#355662
#355552
#355452
#355442
#355422
#352802
#352632
#352572
#352532
#351672
#351602
C2×#24972
#347422
#347392