Finite Group Databasebeta

← #7689611

Subgroups — #7689611

Order 512.

5244 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59881C214yesmaximal, complemented
3#59504C212yesmaximal, complemented
4#59475C212yesmaximal, complemented
5#59466C211yesmaximal, characteristic, complemented
6#59394C212yesmaximal, complemented
7#59066C211yesmaximal, characteristic, complemented
8#59039C211yesmaximal, characteristic, complemented
9#45412C212yesmaximal, complemented
10#45090C212yesmaximal, complemented
11#44640C214yesmaximal, complemented
12#43376C214yesmaximal, complemented
13#40177C212yesmaximal, complemented
14#40168C212yesmaximal, complemented
15#39607C211yesmaximal, characteristic, complemented
16#39203C211yesmaximal, characteristic, complemented
17#38836C214yesmaximal, complemented
18#38204C212yesmaximal, complemented
19#36556C211yesmaximal, characteristic, complemented
20#36551C211yesmaximal, characteristic, complemented
21#36481C211yesmaximal, characteristic, complemented
22#36452C212yesmaximal, complemented
23#36372C212yesmaximal, complemented
24#36290C212yesmaximal, complemented
25#36272C211yesmaximal, characteristic, complemented
26#36149C211yesmaximal, characteristic, complemented
27#35802C212yesmaximal, complemented
28#35772C212yesmaximal, complemented
29#34970C212yesmaximal, complemented
30#34797C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34308C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#552C2211yescharacteristic
37C2×#552C2212yes—
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#520C2212yes—
43C2×#520C2212yes—
44#2864C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2859C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2851C2212yes—
51#2851C2214yes—
52#2798C2214yes—
53#2796C2214yes—
54#2781C2214yes—
55#2757C2214yes—
56#2755C2214yes—
57#2754C2214yes—
58#2750C2214yes—
59#2749C2214yes—
60#2748C2214yes—
61#2741C2214yes—
62#2740C2214yes—
63#2739C2214yes—
64#2738C2214yes—
65#2711C2214yes—
66#2706C2214yes—
67#2705C2214yes—
68#2704C2214yes—
69#2703C2214yes—
70#2694C2214yes—
71#2686C2214yes—
72#2671C2214yes—
73#2636C2214yes—
74#2630C2214yes—
75#2629C2212yes—
76#2625C2212yes—
77#2611C2214yes—
78#2609C2214yes—
79#2609C2214yes—
80#2606C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2601C2214yes—
84#2595C2214yes—
85#2591C2214yes—
86#2589C2214yes—
87#2588C2214yes—
88#2579C2214yes—
89#2578C2214yes—
90#2577C2214yes—
91#2573C2214yes—
92#2573C2214yes—
93#2571C2212yes—
94#2570C2212yes—
95#2567C2211yescharacteristic
96#2566C2212yes—
97#2566C2212yes—
98#2563C2211yescharacteristic
99#2553C2214yes—
100#2553C2214yes—
101#2552C2211yescharacteristic
102#2552C2211yescharacteristic
103#2552C2212yes—
104#2546C2211yescharacteristic
105#2542C2211yescharacteristic
106#2537C2212yes—
107#2535C2212yes—
108#2531C2214yes—
109#2531C2212yes—
110#2530C2214yes—
111#2529C2212yes—
112#2526C2214yes—
113#2522C2214yes—
114#2520C2214yes—
115#2518C2212yes—
116#2517C2214yes—
117#2513C2212yes—
118#2513C2212yes—
119#2512C2211yescharacteristic
120#2511C2212yes—
121#2509C2212yes—
122#2509C2212yes—
123#2508C2212yes—
124#2507C2212yes—
125#2507C2212yes—
126#2507C2211yescharacteristic
127#2506C2212yes—
128#2505C2214yes—
129#2505C2214yes—
130#2500C2211yescharacteristic
131#2498C2214yes—
132#2497C2212yes—
133#2497C2212yes—
134#2497C2212yes—
135#2496C2212yes—
136#2495C2211yescharacteristic
137#2490C2211yescharacteristic
138#2489C2212yes—
139#2489C2212yes—
140#2487C2212yes—
141#2485C2214yes—
142#2485C2211yescharacteristic
143#2481C2214yes—
144#2481C2214yes—
145#2479C2214yes—
146#2476C2214yes—
147#2475C2214yes—
148#2473C2214yes—
149#2473C2214yes—
150#2471C2214yes—
151#2470C2214yes—
152#2467C2212yes—
153#2460C2214yes—
154#2460C2214yes—
155#2456C2214yes—
156#2454C2212yes—
157#2454C2212yes—
158#2454C2212yes—
159#2454C2212yes—
160#2454C2212yes—
161#2453C2212yes—
162#2450C2214yes—
163#2447C2212yes—
164#2447C2212yes—
165#2446C2212yes—
166#2445C2212yes—
167#2445C2212yes—
168#2443C2214yes—
169#2443C2214yes—
170#2442C2214yes—
171#2442C2214yes—
172#2441C2211yescharacteristic
173#2441C2212yes—
174#2432C2212yes—
175#2430C2214yes—
176#2429C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yes—
182#2423C2212yes—
183#2422C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2420C2212yes—
190#2415C2212yes—
191#2414C2211yescharacteristic
192#2407C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2395C2212yes—
197#2395C2214yes—
198#2392C2212yes—
199#2392C2214yes—
200#2373C2212yes—
201#2372C2214yes—
202#2371C2212yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2369C2211yescharacteristic
206#2369C2211yescharacteristic
207#2367C2212yes—
208#2367C2212yes—
209#2366C2212yes—
210#2366C2211yescharacteristic
211#2366C2211yescharacteristic
212#2366C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2363C2212yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2212yes—
220#2362C2211yescharacteristic
221#2361C2214yes—
222#2361C2212yes—
223#2361C2214yes—
224#2360C2211yescharacteristic
225#2360C2212yes—
226#2359C2214yes—
227#2359C2214yes—
228#2359C2212yes—
229#2356C2211yescharacteristic
230#2355C2212yes—
231#2354C2212yes—
232#2352C2214yes—
233#2352C2211yescharacteristic
234Q8×C4⋊C4C2211yescharacteristic
235#2349C2212yes—
236#2349C2212yes—
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244#2347C2212yes—
245#2346C2211yescharacteristic
246#2345C2212yes—
247#2344C2214yes—
248#2344C2211yescharacteristic
249#2343C2214yes—
250#2343C2212yes—
251#2341C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2339C2212yes—
255#2325C2214yes—
256#2324C2212yes—
257#2324C2214yes—
258#2323C2212yes—
259#2323C2212yes—
260#2322C2214yes—
261#2322C2214yes—
262#2311C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×#127C2211yescharacteristic
265C4×#127C2212yes—
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2212yes—
275C4×#123C2214yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2297C2214yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289C2×#389C2214yes—
290#2285C2211yescharacteristic
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#552—28no—
303#552—48no—
304#550—28no—
305#547—216no—
306#532—28no—
307#532—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2314yes—
346#520—48no—
347#520—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2314yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2314yes—
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#383C2312yes—
697#383C2312yes—
698#383C2314yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—82no—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—28no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861#127—28no—
862#127#4118yes—
863#126—28no—
864#126—44no—
865#126—48no—
866#125—28no—
867#125—24no—
868#125—24no—
869#125—44no—
870#125—48no—
871#125—44no—
872#125—84no—
873#124—28no—
874#124—28no—
875#123—216no—
876#123—216no—
877#123—28no—
878#123—48no—
879#123—48no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—82no—
885C22⋊Q8#4118yescomplemented
886#121—28no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—216no—
892#121—24no—
893#121—216no—
894#121—42no—
895#121—84no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—84no—
927C4×D4—82no—
928C4×D4—84no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—28no—
933#117—48no—
934#117—44no—
935#117—44no—
936#117—48no—
937#117—44no—
938#117—48no—
939#117—48no—
940#117—42no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—48no—
946C2×C4⋊C4—48no—
947C2×C4⋊C4—84no—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—84no—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
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#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2511yescharacteristic
1185C24C2512yes—
1186C24C2514yes—
1187C24C2511yescharacteristic
1188#41—432no—
1189#41—432no—
1190#41—816no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8C2×#4114yes—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4C2×#4118yes—
1231C2×D4C2×#4118yes—
1232C2×D4C2×#4118yes—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—28no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4C2×#4114yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—41no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4C2×#4118yes—
1382C4⋊C4C2×#4114yes—
1383C4⋊C4H(5,𝔽2)14yes—
1384C4⋊C42−1+414yes—
1385C22⋊C4—22no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—22no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4C2×#4118yes—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—28no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—22no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—44no—
1468C42—44no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—41no—
1474C42—42no—
1475C42—41no—
1476C42C2×#4114yes—
1477C23—24no—
1478C23—21no—
1479C23—24no—
1480C23—21no—
1481C23—24no—
1482C23—21no—
1483C23—21no—
1484C23—24no—
1485C23—24no—
1486C23—21no—
1487C23—21no—
1488C23—24no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23C22×#4118yes—
1504C23C22×#4112yes—
1505C23C2611yescharacteristic
1506Q8—28no—
1507Q8—48no—
1508Q8—84no—
1509D4—216no—
1510D4—216no—
1511D4—48no—
1512D4—48no—
1513D4—416no—
1514D4—416no—
1515D4—44no—
1516D4—44no—
1517D4—88no—
1518D4—88no—
1519D4—84no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—28no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—416no—
1602C2×C4—44no—
1603C2×C4—416no—
1604C2×C4—416no—
1605C2×C4—416no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—164no—
1616C2×C4—164no—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C2×H(5,𝔽2)14yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×2−1+414yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4#58512yes—
1629C2×C4#58512yes—
1630C22—28no—
1631C22—22no—
1632C22—28no—
1633C22—22no—
1634C22—22no—
1635C22—28no—
1636C22—41no—
1637C22—44no—
1638C22—41no—
1639C22—44no—
1640C22—41no—
1641C22—44no—
1642C22—41no—
1643C22—44no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22C23×#4111yescharacteristic
1659C22C23×#4111yescharacteristic
1660C22C22×H(5,𝔽2)11yescharacteristic
1661C22C22×2−1+411yescharacteristic
1662C22C2×#58511yescharacteristic
1663C22C2×#58511yescharacteristic
1664C22H(7,𝔽2)11yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—24no—
1668C4—24no—
1669C4—24no—
1670C4—22no—
1671C4—24no—
1672C4—44no—
1673C4—41no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—44no—
1694C4#348114yes—
1695C4#351514yes—
1696C2—48no—
1697C2—42no—
1698C2—81no—
1699C2—82no—
1700C2C2×#348111yescharacteristic
1701C2C2×#351511yescharacteristic
1702C2#6279311yescharacteristic
1703C2#6292011yescharacteristic
1704C2#6299011yescharacteristic
1705C2#6300011yescharacteristic
1706C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59881C2semidirect
3. #59504C2semidirect
4. #59475C2semidirect
5. #59466C2semidirect
6. #59394C2semidirect
7. #59066C2semidirect
8. #59039C2semidirect
9. #45412C2semidirect
10. #45090C2semidirect
11. #44640C2semidirect
12. #43376C2semidirect
13. #40177C2semidirect
14. #40168C2semidirect
15. #39607C2semidirect
16. #39203C2semidirect
17. #38836C2semidirect
18. #38204C2semidirect
19. #36556C2semidirect
20. #36551C2semidirect
21. #36481C2semidirect
22. #36452C2semidirect
23. #36372C2semidirect
24. #36290C2semidirect
25. #36272C2semidirect
26. #36149C2semidirect
27. #35802C2semidirect
28. #35772C2semidirect
29. #34970C2semidirect
30. #34797C2semidirect
31. #34313C2semidirect
32. #34308C2semidirect
33. #34206C2semidirect
34. C4×#552C2semidirect
35. #34155C2semidirect
885. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599622
#598812
#595042
#594752
#594662
#593942
#590662
#590392
#454122
#450902
#446402
#433762
#401772
#401682
#396072
#392032
#388362
#382042
#365562
#365512
#364812
#364522
#363722
#362902
#362722
#361492
#358022
#357722
#349702
#347972
#343132
#343082
#342062
C4×#5522
#341552