Finite Group Databasebeta

← #7652164

Subgroups — #7652164

Order 512.

4502 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42826C212yesmaximal, complemented
2#42825C212yesmaximal, complemented
3#42824C212yesmaximal, complemented
4#42823C212yesmaximal, complemented
5#42822C212yesmaximal, complemented
6#42821C212yesmaximal, complemented
7#42820C212yesmaximal, complemented
8#42820C212yesmaximal, complemented
9#42000C214yesmaximal
10#41999C214yesmaximal
11#39978C212yesmaximal, complemented
12#39978C212yesmaximal, complemented
13#39975C212yesmaximal, complemented
14#39974C212yesmaximal, complemented
15#39753C212yesmaximal, complemented
16#39626C212yesmaximal, complemented
17#39625C212yesmaximal, complemented
18#39181C212yesmaximal, complemented
19#38449C214yesmaximal
20#38446C214yesmaximal
21#35668C211yesmaximal, characteristic
22#35662C211yesmaximal, characteristic
23#35576C211yesmaximal, characteristic
24#35566C211yesmaximal, characteristic
25#35543C211yesmaximal, characteristic
26#35543C211yesmaximal, characteristic
27#35281C211yesmaximal, characteristic
28#35265C211yesmaximal, characteristic
29#35179C211yesmaximal, characteristic
30#34938C211yesmaximal, characteristic
31#34815C211yesmaximal, characteristic
32C2×#2451C211yesmaximal, characteristic
33#34254C211yesmaximal, characteristic
34#34254C211yesmaximal, characteristic
35#34249C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2868C2212yes—
44#2864C2212yes—
45#2862C2212yes—
46#2859C2212yes—
47#2855C2214yes—
48#2845C2214yes—
49#2844C2214yes—
50#2843C2214yes—
51#2843C2214yes—
52#2806C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2805C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2792C2214yes—
59#2792C2214yes—
60#2792C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2791C2214yes—
64#2791C2214yes—
65#2791C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2774C2214yes—
70#2755C2214yes—
71#2755C2214yes—
72#2755C2214yes—
73#2755C2214yes—
74#2734C2214yes—
75#2734C2214yes—
76#2734C2214yes—
77#2726C2214yes—
78#2713C2214yes—
79#2713C2214yes—
80#2713C2214yes—
81#2713C2214yes—
82#2713C2214yes—
83#2713C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2666C2214yes—
91#2666C2214yes—
92#2660C2214yes—
93#2660C2214yes—
94#2660C2214yes—
95#2660C2212yes—
96#2660C2212yes—
97#2647C2214yes—
98#2647C2212yes—
99#2647C2212yes—
100#2627C2214yes—
101#2612C2214yes—
102#2612C2214yes—
103#2606C2214yes—
104#2605C2214yes—
105#2605C2214yes—
106#2605C2214yes—
107#2584C2212yes—
108#2584C2212yes—
109#2583C2214yes—
110#2582C2212yes—
111#2582C2212yes—
112#2582C2212yes—
113#2582C2212yes—
114#2581C2212yes—
115#2581C2212yes—
116#2581C2212yes—
117#2581C2212yes—
118#2571C2212yes—
119#2571C2212yes—
120#2570C2214yes—
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2570C2214yes—
126#2568C2212yes—
127#2568C2212yes—
128#2567C2212yes—
129#2567C2212yes—
130#2567C2212yes—
131#2567C2212yes—
132#2567C2212yes—
133#2565C2212yes—
134#2565C2212yes—
135#2565C2212yes—
136#2565C2212yes—
137#2552C2214yes—
138#2552C2212yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2551C2214yes—
144#2551C2212yes—
145#2551C2211yescharacteristic
146#2551C2212yes—
147#2551C2212yes—
148#2551C2212yes—
149#2551C2212yes—
150#2551C2211yescharacteristic
151#2550C2212yes—
152#2550C2212yes—
153#2550C2211yescharacteristic
154#2550C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2550C2214yes—
158#2550C2214yes—
159#2550C2211yescharacteristic
160#2550C2212yes—
161#2550C2211yescharacteristic
162#2550C2211yescharacteristic
163#2549C2212yes—
164#2549C2212yes—
165#2549C2214yes—
166#2546C2212yes—
167#2546C2212yes—
168#2546C2212yes—
169#2509C2211yescharacteristic
170#2509C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2509C2211yescharacteristic
174#2508C2211yescharacteristic
175#2508C2212yes—
176#2508C2212yes—
177#2508C2211yescharacteristic
178#2508C2212yes—
179#2507C2212yes—
180#2507C2211yescharacteristic
181#2507C2212yes—
182#2507C2212yes—
183#2507C2211yescharacteristic
184#2506C2211yescharacteristic
185#2506C2211yescharacteristic
186#2506C2212yes—
187#2506C2212yes—
188#2506C2212yes—
189#2505C2214yes—
190#2505C2214yes—
191#2505C2212yes—
192#2505C2212yes—
193#2505C2214yes—
194#2502C2214yes—
195#2473C2212yes—
196#2473C2214yes—
197#2473C2214yes—
198#2473C2214yes—
199#2473C2212yes—
200#2453C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2453C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2451C2212yes—
209#2451C2212yes—
210#2451C2212yes—
211#2451C2212yes—
212#2451C2212yes—
213#2451C2212yes—
214#2451C2212yes—
215#2451C2212yes—
216#2440C2212yes—
217#2440C2214yes—
218#2440C2212yes—
219#2438C2214yes—
220#2438C2214yes—
221#2438C2214yes—
222#2438C2214yes—
223#2434C2214yes—
224#2434C2214yes—
225#2402C2212yes—
226#2402C2212yes—
227#2399C2212yes—
228#2399C2212yes—
229C2×#398C2212yes—
230C2×#395C2212yes—
231#2356C2212yes—
232#2356C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2351C2212yes—
240#2351C2212yes—
241#2351C2212yes—
242#2351C2212yes—
243Q8×C4⋊C4C2212yes—
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246Q8×C4⋊C4C2212yes—
247#2343C2214yes—
248#2343C2214yes—
249#2343C2214yes—
250#2343C2214yes—
251#2331C2214yes—
252#2331C2214yes—
253#2331C2214yes—
254#2330C2214yes—
255#2320C2212yes—
256#2320C2212yes—
257#2320C2212yes—
258#2320C2212yes—
259#2317C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2212yes—
273C4×#125C2212yes—
274C4×#125C2212yes—
275#2296C2214yes—
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286C2×#391C2212yes—
287C2×#391C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#387C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×Q8C2312yes—
301#544—44no—
302#533—44no—
303#533—44no—
304C2×C4⋊Q8—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338#519—44no—
339#519Q8116yescomplemented
340C2×C4×Q8—44no—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2314yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2314yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2312yes—
479#395C2314yes—
480#395C2312yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2312yes—
487#395C2312yes—
488#395C2312yes—
489#395C2312yes—
490#395C2312yes—
491#395C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
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#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2314yes—
702#384C2314yes—
703#384C2314yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2314yes—
709#384C2314yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2314yes—
729#382C2314yes—
730#382C2314yes—
731#382C2314yes—
732#382C2311yescharacteristic
733#382C2314yes—
734#382C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2314yes—
740#381C2314yes—
741#381C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C22×Q8—24no—
818C22×Q8—24no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—82no—
822C22×Q8C2×Q818yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C4⋊Q8—28no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—42no—
849C4⋊Q8—42no—
850C4⋊Q8—42no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—48no—
855C4⋊Q8—44no—
856C4⋊Q8—48no—
857C4⋊Q8—84no—
858C4⋊Q8—84no—
859C4⋊Q8—84no—
860#125—28no—
861#125—44no—
862#125—42no—
863#125—42no—
864#125—42no—
865#125—42no—
866#125—44no—
867#125—44no—
868#125—84no—
869#125—84no—
870#125—84no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—48no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8C2×Q8116yescomplemented
889C4×Q8C2×Q8116yescomplemented
890C4×Q8C2×Q8116yescomplemented
891C4×Q8C2×Q8116yescomplemented
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—48no—
899#117C2×Q8132yes—
900#117C2×Q818yes—
901#117C2×Q818yes—
902C2×C4⋊C4—24no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—24no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—82no—
910C2×C4⋊C4—82no—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—24no—
1029C2×C42—44no—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
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#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
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—
1158C24C2511yescharacteristic
1159C2×Q8—232no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—28no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—816no—
1186C2×Q8C22×Q818yes—
1187C2×Q8C22×Q818yes—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4C22×Q818yes—
1218C22×C4C22×Q814yes—
1219C22×C4H(5,𝔽2)14yes—
1220C22×C42−1+414yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
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—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4C22×Q8116yes—
1356C4⋊C4C22×Q8116yes—
1357C4⋊C4C22×Q814yes—
1358C4⋊C4C22×Q814yes—
1359C4⋊C4C22×Q814yes—
1360C4⋊C4C22×Q814yes—
1361C4⋊C42−1+414yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4C22×Q818yes—
1369C22⋊C4C22×Q818yes—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—44no—
1392C42—44no—
1393C42—42no—
1394C42—44no—
1395C42—42no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—42no—
1402C42—44no—
1403C42—42no—
1404C42C22×Q8116yes—
1405C42C22×Q8116yes—
1406C42C22×Q818yes—
1407C42C22×Q818yes—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23C23×Q812yes—
1413C23C2×H(5,𝔽2)12yes—
1414C23C2×2−1+412yes—
1415C23C2611yescharacteristic
1416Q8—216no—
1417Q8—216no—
1418Q8—84no—
1419Q8—84no—
1420Q8—84no—
1421Q8—88no—
1422Q8—84no—
1423Q8—88no—
1424Q8—164no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—216no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—48no—
1518C2×C4—82no—
1519C2×C4—84no—
1520C2×C4—82no—
1521C2×C4—84no—
1522C2×C4#544116yes—
1523C2×C4C23×Q814yes—
1524C2×C4C23×Q814yes—
1525C2×C4C23×Q814yes—
1526C2×C4C23×Q814yes—
1527C2×C4C23×Q818yes—
1528C2×C4C23×Q812yes—
1529C2×C4C23×Q812yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×H(5,𝔽2)12yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4C2×2−1+412yes—
1537C2×C4#58512yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22C2×#54414yes—
1545C22C24×Q811yescharacteristic
1546C22C22×H(5,𝔽2)11yescharacteristic
1547C22C22×2−1+411yescharacteristic
1548C22C22×2−1+411yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22H(7,𝔽2)11yescharacteristic
1551C222−1+611yescharacteristic
1552C4—24no—
1553C4—24no—
1554C4—24no—
1555C4—24no—
1556C4—22no—
1557C4—22no—
1558C4—28no—
1559C4—22no—
1560C4—22no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—44no—
1569C4—44no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4C2×#54414yes—
1585C4C2×#54414yes—
1586C2—24no—
1587C2C22×#54411yescharacteristic
1588C2#6283711yescharacteristic
1589C2#6287911yescharacteristic
1590C2#6292411yescharacteristic
1591C2#6294211yescharacteristic
1592C2Q8×2−1+411yescharacteristic
1593C2#6300411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42826C2semidirect
2. #42825C2semidirect
3. #42824C2semidirect
4. #42823C2semidirect
5. #42822C2semidirect
6. #42821C2semidirect
7. #42820C2semidirect
8. #42820C2semidirect
11. #39978C2semidirect
12. #39978C2semidirect
13. #39975C2semidirect
14. #39974C2semidirect
15. #39753C2semidirect
16. #39626C2semidirect
17. #39625C2semidirect
18. #39181C2semidirect
339. #519Q8semidirect
888. C4×Q8C2×Q8semidirect
889. C4×Q8C2×Q8semidirect
890. C4×Q8C2×Q8semidirect
891. C4×Q8C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#428262
#428252
#428242
#428232
#428222
#428212
#428202
#420002
#419992
#399782
#399752
#399742
#397532
#396262
#396252
#391812
#384492
#384462
#356682
#356622
#355762
#355662
#355432
#352812
#352652
#351792
#349382
#348152
C2×#24512
#342542
#342492