Finite Group Databasebeta

← #7652091

Subgroups — #7652091

Order 512.

5390 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42954C212yesmaximal, complemented
2#42954C212yesmaximal, complemented
3#42931C212yesmaximal, complemented
4#42930C212yesmaximal, complemented
5#42818C212yesmaximal, complemented
6#42817C212yesmaximal, complemented
7#42817C212yesmaximal, complemented
8#42816C212yesmaximal, complemented
9#41998C214yesmaximal, complemented
10#41997C214yesmaximal, complemented
11#39984C212yesmaximal, complemented
12#39981C212yesmaximal, complemented
13#39980C212yesmaximal, complemented
14#39980C212yesmaximal, complemented
15#39752C212yesmaximal, complemented
16#39624C212yesmaximal, complemented
17#39624C212yesmaximal, complemented
18#39179C212yesmaximal, complemented
19#38448C214yesmaximal, complemented
20#38444C214yesmaximal, complemented
21#35668C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35574C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35279C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35179C211yesmaximal, characteristic, complemented
30#34947C211yesmaximal, characteristic, complemented
31#34745C211yesmaximal, characteristic, complemented
32C2×#2451C211yesmaximal, characteristic, complemented
33#34259C211yesmaximal, characteristic
34#34259C211yesmaximal, characteristic
35#34257C211yesmaximal, characteristic
36C22×2−1+4C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2857C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2855C2214yes—
51#2851C2212yes—
52#2841C2214yes—
53#2841C2214yes—
54#2841C2214yes—
55#2841C2214yes—
56#2811C2214yes—
57#2811C2214yes—
58#2809C2214yes—
59#2809C2214yes—
60#2806C2214yes—
61#2806C2214yes—
62#2806C2214yes—
63#2806C2214yes—
64#2806C2214yes—
65#2806C2214yes—
66#2804C2214yes—
67#2799C2214yes—
68#2799C2214yes—
69#2799C2214yes—
70#2799C2214yes—
71#2799C2214yes—
72#2799C2214yes—
73#2784C2214yes—
74#2784C2214yes—
75#2780C2214yes—
76#2780C2214yes—
77#2748C2214yes—
78#2748C2214yes—
79#2732C2214yes—
80#2732C2214yes—
81#2692C2214yes—
82#2692C2214yes—
83#2692C2214yes—
84#2692C2214yes—
85#2692C2214yes—
86#2692C2214yes—
87#2683C2214yes—
88#2667C2214yes—
89#2667C2214yes—
90#2667C2214yes—
91#2665C2214yes—
92#2665C2214yes—
93#2665C2214yes—
94#2665C2214yes—
95#2665C2214yes—
96#2659C2214yes—
97#2659C2214yes—
98#2659C2214yes—
99#2646C2214yes—
100#2629C2212yes—
101#2628C2212yes—
102#2628C2212yes—
103#2628C2212yes—
104#2627C2214yes—
105#2608C2214yes—
106#2607C2214yes—
107#2607C2214yes—
108#2607C2214yes—
109#2582C2212yes—
110#2582C2212yes—
111#2582C2212yes—
112#2582C2212yes—
113#2582C2212yes—
114#2582C2212yes—
115#2581C2212yes—
116#2581C2212yes—
117#2581C2212yes—
118#2581C2212yes—
119#2581C2212yes—
120#2581C2212yes—
121#2580C2212yes—
122#2580C2212yes—
123#2579C2214yes—
124#2569C2214yes—
125#2569C2214yes—
126#2569C2214yes—
127#2568C2212yes—
128#2568C2212yes—
129#2568C2211yescharacteristic
130#2568C2212yes—
131#2567C2212yes—
132#2567C2212yes—
133#2567C2212yes—
134#2567C2211yescharacteristic
135#2566C2211yescharacteristic
136#2566C2211yescharacteristic
137#2565C2212yes—
138#2565C2212yes—
139#2565C2212yes—
140#2565C2211yescharacteristic
141#2565C2212yes—
142#2565C2211yescharacteristic
143#2564C2212yes—
144#2564C2212yes—
145#2564C2214yes—
146#2563C2212yes—
147#2563C2211yescharacteristic
148#2549C2214yes—
149#2549C2214yes—
150#2549C2214yes—
151#2549C2214yes—
152#2549C2214yes—
153#2542C2211yescharacteristic
154#2542C2212yes—
155#2538C2212yes—
156#2538C2212yes—
157#2487C2214yes—
158#2454C2211yescharacteristic
159#2454C2212yes—
160#2454C2212yes—
161#2454C2211yescharacteristic
162#2453C2211yescharacteristic
163#2453C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2453C2211yescharacteristic
168#2453C2212yes—
169#2453C2212yes—
170#2452C2212yes—
171#2452C2212yes—
172#2452C2212yes—
173#2452C2211yescharacteristic
174#2452C2212yes—
175#2452C2211yescharacteristic
176#2451C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2451C2212yes—
183#2451C2211yescharacteristic
184#2451C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2451C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2211yescharacteristic
194#2450C2214yes—
195#2450C2214yes—
196#2450C2212yes—
197#2450C2212yes—
198#2450C2214yes—
199#2449C2212yes—
200#2449C2214yes—
201#2449C2214yes—
202#2449C2214yes—
203#2449C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2438C2214yes—
221#2438C2214yes—
222#2438C2214yes—
223#2438C2214yes—
224#2417C2212yes—
225#2417C2214yes—
226#2417C2212yes—
227#2409C2214yes—
228#2409C2214yes—
229#2396C2212yes—
230#2396C2212yes—
231#2396C2212yes—
232#2396C2212yes—
233C2×#398C2212yes—
234C2×#395C2212yes—
235#2341C2212yes—
236#2341C2212yes—
237#2341C2212yes—
238#2341C2212yes—
239Q8×C22⋊C4C2212yes—
240Q8×C22⋊C4C2212yes—
241Q8×C22⋊C4C2212yes—
242Q8×C22⋊C4C2212yes—
243Q8×C22⋊C4C2212yes—
244Q8×C22⋊C4C2212yes—
245Q8×C22⋊C4C2212yes—
246Q8×C22⋊C4C2212yes—
247#2339C2214yes—
248#2339C2214yes—
249#2339C2214yes—
250#2339C2214yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2339C2212yes—
255#2329C2214yes—
256#2329C2214yes—
257#2329C2214yes—
258#2329C2214yes—
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2311C2214yes—
265#2311C2212yes—
266#2311C2212yes—
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2310C2212yes—
272#2310C2212yes—
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279#2297C2214yes—
280#2297C2212yes—
281#2297C2212yes—
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#391C2212yes—
289C2×#391C2212yes—
290C2×#391C2212yes—
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#387C2212yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—44no—
300C2×2−1+4—44no—
301C2×2−1+4Q8116yescomplemented
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311#544—44no—
312#533—44no—
313#533—44no—
314C2×C4⋊Q8—44no—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348#520—44no—
349#520—44no—
350#519—44no—
351C4×#41—44no—
352C4×#41—44no—
353C2×C4×Q8—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#395C2312yes—
491#395C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2312yes—
510#395C2312yes—
511#395C2314yes—
512#393C2312yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2314yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2314yes—
543#391C2314yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#391C2314yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2314yes—
577#391C2314yes—
578#391C2314yes—
579#391C2312yes—
580#391C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2314yes—
584#391C2314yes—
585#391C2312yes—
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2314yes—
599#390C2314yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
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#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
8232−1+4—464no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—48no—
829C2×#41—48no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41C2×Q818yes—
835C2×#41C2×Q818yes—
836C2×#41C2×Q8132yes—
837C2×#41C2×Q8116yescomplemented
838C2×#41C2×Q8116yescomplemented
839C22×Q8—24no—
840C22×Q8—24no—
841C22×Q8—44no—
842C22×Q8—44no—
843C22×Q8—44no—
844C22×Q8—44no—
845C22×Q8—44no—
846C22×Q8—44no—
847C22×Q8—82no—
848C22×Q8C2×Q818yes—
849C22×Q8C2×Q8116yescomplemented
850C22×Q8C2×Q8116yescomplemented
851C22×Q8C2412yes—
852C22×Q8C2412yes—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2414yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—42no—
894C4⋊Q8—42no—
895C4⋊Q8—42no—
896C4⋊Q8—42no—
897C4⋊Q8—44no—
898C4⋊Q8—44no—
899#125—42no—
900#125—42no—
901#125—42no—
902#125—42no—
903#125—44no—
904#125—44no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—48no—
912C22⋊Q8—44no—
913C22⋊Q8—48no—
914C22⋊Q8—44no—
915C22⋊Q8—48no—
916C22⋊Q8—84no—
917C22⋊Q8—84no—
918C22⋊Q8—84no—
919C22⋊Q8—84no—
920C22⋊Q8—84no—
921C22⋊Q8—84no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—42no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—48no—
952#117—24no—
953#117—24no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—44no—
959#117—44no—
960#117—48no—
961#117—44no—
962#117—44no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—82no—
973C2×C4⋊C4—82no—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C42—24no—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42—44no—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
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#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208#41—232no—
1209#41—232no—
1210#41—464no—
1211#41—432no—
1212#41—432no—
1213C2×Q8—232no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—28no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8—432no—
1246C2×Q8—432no—
1247C2×Q8—816no—
1248C2×Q8C22×Q818yes—
1249C2×Q8C22×Q818yes—
1250C2×Q8C22×Q814yes—
1251C2×Q8C22×Q814yes—
1252C2×Q8C22×Q8116yes—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4C22×Q818yes—
1264C2×D4C22×Q818yes—
1265C2×D4C22×Q814yes—
1266C2×D4C22×Q814yes—
1267C2×D4C22×Q8116yes—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—41no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4C22×Q818yes—
1324C22×C4C22×Q818yes—
1325C22×C4C22×Q818yes—
1326C22×C4C22×Q8116yes—
1327C22×C4C22×Q8116yes—
1328C22×C4C22×Q814yes—
1329C22×C4H(5,𝔽2)14yes—
1330C22×C4H(5,𝔽2)14yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C42−1+414yescomplemented
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23C23×Q814yes—
1527C23C23×Q814yes—
1528C23C23×Q812yes—
1529C23C2×H(5,𝔽2)12yes—
1530C23C2×H(5,𝔽2)12yes—
1531C23C2611yescharacteristic
1532Q8—216no—
1533Q8—216no—
1534Q8—28no—
1535Q8—28no—
1536Q8—416no—
1537Q8—84no—
1538Q8—84no—
1539Q8—88no—
1540Q8—84no—
1541Q8—84no—
1542Q8—88no—
1543Q8—164no—
1544D4—216no—
1545D4—216no—
1546D4—28no—
1547D4—28no—
1548D4—416no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—216no—
1564C2×C4—216no—
1565C2×C4—216no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—416no—
1636C2×C4—416no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—82no—
1646C2×C4—84no—
1647C2×C4—82no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—164no—
1651C2×C4—164no—
1652C2×C4#543116yes—
1653C2×C4C23×Q814yes—
1654C2×C4C23×Q814yes—
1655C2×C4C23×Q818yes—
1656C2×C4C23×Q812yes—
1657C2×C4C23×Q812yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×2−1+412yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4#58512yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22C2×#54314yes—
1687C22C24×Q811yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×H(5,𝔽2)11yescharacteristic
1690C22C22×2−1+411yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C222−1+611yescharacteristic
1694C4—22no—
1695C4—22no—
1696C4—24no—
1697C4—24no—
1698C4—28no—
1699C4—22no—
1700C4—22no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—44no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4—41no—
1715C4—41no—
1716C4—44no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4C2×#54314yes—
1725C4C2×#54314yes—
1726C2—24no—
1727C2—44no—
1728C2—44no—
1729C2C22×#54311yescharacteristic
1730C2#6283511yescharacteristic
1731C2#6287811yescharacteristic
1732C2#6292411yescharacteristic
1733C2#6294211yescharacteristic
1734C2Q8×2−1+411yescharacteristic
1735C2#6300411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×2−1+4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42954C2semidirect
2. #42954C2semidirect
3. #42931C2semidirect
4. #42930C2semidirect
5. #42818C2semidirect
6. #42817C2semidirect
7. #42817C2semidirect
8. #42816C2semidirect
9. #41998C2semidirect
10. #41997C2semidirect
11. #39984C2semidirect
12. #39981C2semidirect
13. #39980C2semidirect
14. #39980C2semidirect
15. #39752C2semidirect
16. #39624C2semidirect
17. #39624C2semidirect
18. #39179C2semidirect
19. #38448C2semidirect
20. #38444C2semidirect
21. #35668C2semidirect
22. #35662C2semidirect
23. #35575C2semidirect
24. #35574C2semidirect
25. #35519C2semidirect
26. #35519C2semidirect
27. #35279C2semidirect
28. #35257C2semidirect
29. #35179C2semidirect
30. #34947C2semidirect
31. #34745C2semidirect
32. C2×#2451C2semidirect
301. C2×2−1+4Q8semidirect
837. C2×#41C2×Q8semidirect
838. C2×#41C2×Q8semidirect
849. C22×Q8C2×Q8semidirect
850. C22×Q8C2×Q8semidirect
1445. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#429542
#429312
#429302
#428182
#428172
#428162
#419982
#419972
#399842
#399812
#399802
#397522
#396242
#391792
#384482
#384442
#356682
#356622
#355752
#355742
#355192
#352792
#352572
#351792
#349472
#347452
C2×#24512
#342592
#342572