Finite Group Databasebeta

← #7712555

Subgroups — #7712555

Order 512.

7292 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3559C211yesmaximal, characteristic, complemented
2C2×#3444C211yesmaximal, characteristic, complemented
3#59092C214yesmaximal, complemented
4#58993C214yesmaximal, complemented
5#46227C212yesmaximal, complemented
6#46224C212yesmaximal, complemented
7#45975C212yesmaximal, complemented
8#45972C212yesmaximal, complemented
9#39590C212yesmaximal, complemented
10#39462C212yesmaximal, complemented
11#37839C212yesmaximal, complemented
12#37836C212yesmaximal, complemented
13#37804C214yesmaximal, complemented
14#37768C212yesmaximal, complemented
15#37745C212yesmaximal, complemented
16#37736C214yesmaximal, complemented
17#37708C212yesmaximal, complemented
18#37679C212yesmaximal, complemented
19#37554C211yesmaximal, characteristic, complemented
20#37549C211yesmaximal, characteristic, complemented
21#37279C212yesmaximal, complemented
22#37276C212yesmaximal, complemented
23#36624C211yesmaximal, characteristic, complemented
24C2×#2851C211yesmaximal, characteristic, complemented
25#36492C212yesmaximal, complemented
26#36361C212yesmaximal, complemented
27#36361C212yesmaximal, complemented
28#36259C212yesmaximal, complemented
29#35259C212yesmaximal, complemented
30#35257C212yesmaximal, complemented
31#34382C211yesmaximal, characteristic, complemented
32#3559—216no—
33C2×#563C2212yescomplemented
34C2×#562C2212yescomplemented
35C2×#554C2212yescomplemented
36C2×#553C2212yes—
37C2×#553C2212yescomplemented
38C2×#547C2214yes—
39C2×#547C2212yes—
40C2×#547C2214yes—
41C2×#544C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#539C2212yes—
44C2×#539C2214yescomplemented
45C2×#537C2212yes—
46#3444—216no—
47C2×#533C2211yescharacteristic
48C2×#533C2211yescharacteristic
49C2×#533C2211yescharacteristic
50C2×#532C2211yescharacteristic
51C2×#532C2211yescharacteristic
52C2×#532C2211yescharacteristic
53C2×#532C2211yescharacteristic
54C2×#529C2212yes—
55C2×#529C2211yescharacteristic
56C2×#529C2211yescharacteristic
57C2×#529C2212yes—
58C2×#529C2212yes—
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2211yescharacteristic
62C22×#125C2211yescharacteristic
63C2×#525C2211yescharacteristic
64C2×#525C2212yes—
65C2×#525C2211yescharacteristic
66C2×#525C2212yes—
67C2×#525C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yes—
72C23×C42C2211yescharacteristic
73#2857C2211yescharacteristic
74#2857C2211yescharacteristic
75#2857C2212yescomplemented
76#2856C2211yescharacteristic
77#2856C2211yescharacteristic
78#2854C2212yes—
79#2854C2212yes—
80#2854C2212yescomplemented
81#2854C2212yescomplemented
82#2851C2212yes—
83#2851C2212yes—
84#2851C2212yes—
85#2851C2212yes—
86#2851C2212yes—
87#2851C2212yes—
88#2851C2212yes—
89#2851C2212yes—
90#2851C2212yescomplemented
91#2850C2212yes—
92#2850C2212yes—
93#2847C2212yes—
94#2847C2212yes—
95#2822C2212yescomplemented
96#2820C2212yescomplemented
97#2820C2212yescomplemented
98#2819C2212yescomplemented
99#2732C2214yes—
100#2729C2214yescomplemented
101#2719C2214yescomplemented
102#2716C2214yescomplemented
103#2716C2214yescomplemented
104#2714C2214yes—
105#2707C2214yescomplemented
106#2706C2214yes—
107#2705C2214yes—
108#2705C2214yescomplemented
109#2703C2214yes—
110#2702C2214yes—
111#2698C2214yescomplemented
112#2696C2214yes—
113#2694C2214yes—
114#2693C2214yes—
115#2692C2214yes—
116#2692C2214yes—
117#2691C2214yescomplemented
118#2688C2214yes—
119#2687C2214yes—
120#2682C2214yes—
121#2681C2214yes—
122#2681C2214yes—
123#2677C2214yes—
124#2677C2214yescomplemented
125#2676C2214yescomplemented
126#2675C2214yes—
127#2674C2214yescomplemented
128#2673C2214yescomplemented
129#2671C2214yes—
130#2671C2214yes—
131#2664C2214yescomplemented
132#2656C2212yes—
133#2639C2212yes—
134#2636C2214yescomplemented
135#2629C2212yes—
136#2629C2212yescomplemented
137#2629C2212yescomplemented
138#2628C2212yes—
139#2628C2212yescomplemented
140#2627C2212yes—
141#2619C2212yescomplemented
142#2618C2212yes—
143#2615C2212yes—
144#2615C2212yes—
145#2584C2212yescomplemented
146#2584C2212yescomplemented
147#2580C2212yescomplemented
148#2580C2212yescomplemented
149#2563C2212yes—
150#2562C2212yes—
151#2562C2212yescomplemented
152#2557C2214yescomplemented
153#2556C2214yescomplemented
154#2546C2212yescomplemented
155#2543C2214yes—
156#2539C2214yes—
157#2538C2212yescomplemented
158#2537C2212yes—
159#2535C2212yes—
160#2535C2212yescomplemented
161#2488C2214yes—
162#2487C2212yes—
163#2487C2212yes—
164#2486C2212yes—
165#2486C2212yescomplemented
166#2485C2212yes—
167#2485C2212yescomplemented
168#2479C2214yes—
169#2479C2214yescomplemented
170#2477C2214yes—
171#2477C2214yescomplemented
172#2473C2214yescomplemented
173#2470C2214yescomplemented
174#2470C2214yescomplemented
175#2469C2214yescomplemented
176#2469C2214yescomplemented
177#2464C2214yes—
178#2464C2214yes—
179#2464C2214yes—
180#2463C2214yes—
181#2463C2214yescomplemented
182#2459C2214yescomplemented
183#2458C2214yescomplemented
184#2458C2214yescomplemented
185#2456C2214yes—
186#2456C2214yes—
187#2456C2214yes—
188#2456C2214yescomplemented
189#2456C2214yescomplemented
190#2455C2214yes—
191#2455C2214yescomplemented
192#2454C2214yes—
193#2453C2214yescomplemented
194#2452C2214yes—
195#2452C2214yes—
196#2451C2214yescomplemented
197#2450C2214yes—
198#2450C2214yes—
199#2450C2214yescomplemented
200#2449C2214yes—
201#2449C2214yes—
202#2449C2214yescomplemented
203#2443C2214yes—
204#2443C2214yescomplemented
205#2430C2214yes—
206#2430C2214yes—
207#2430C2214yes—
208#2430C2214yes—
209#2429C2214yescomplemented
210#2425C2214yes—
211#2425C2214yescomplemented
212#2424C2214yes—
213#2424C2214yes—
214#2421C2214yescomplemented
215#2416C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yescomplemented
219#2415C2214yescomplemented
220#2414C2212yes—
221#2414C2212yescomplemented
222#2413C2214yes—
223#2413C2214yes—
224#2413C2214yescomplemented
225#2407C2214yes—
226#2404C2214yes—
227#2382C2212yescomplemented
228#2379C2212yescomplemented
229#2361C2214yes—
230#2361C2214yes—
231#2361C2214yes—
232#2359C2214yes—
233#2359C2214yes—
234#2359C2214yescomplemented
235#2355C2212yescomplemented
236#2352C2212yes—
237#2352C2212yescomplemented
238#2352C2214yescomplemented
239D4×C4⋊C4C2212yes—
240#2339C2214yes—
241#2334C2214yescomplemented
242#2329C2212yes—
243#2325C2212yes—
244#2324C2212yes—
245#2324C2212yes—
246#2317C2212yescomplemented
247#2314C2212yescomplemented
248#2311C2212yes—
249#2311C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256#2297C2212yes—
257#2296C2212yescomplemented
258C2×#389C2211yescharacteristic
259C2×#389C2211yescharacteristic
260C2×#389C2212yescomplemented
261C2×#387C2212yes—
262C2×#387C2212yes—
263C2×#385C2212yes—
264C2×#385C2212yes—
265#2285C2211yescharacteristic
266C2×#382C2211yescharacteristic
267C2×#380C2211yescharacteristic
268C2×#380C2211yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2314yes—
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C22×#41C2312yes—
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278#563—216no—
279#562—216no—
280#554—216no—
281#553—216no—
282#553—216no—
283#547—232no—
284#547—216no—
285#547—416no—
286#544—216no—
287#540—216no—
288#539—232no—
289#539—216no—
290#537—216no—
291#533—28no—
292#533—28no—
293#533—28no—
294#532—28no—
295#532—28no—
296#532—28no—
297#532—28no—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2314yes—
305C2×#127C2311yescharacteristic
306C2×#127C2311yescharacteristic
307#529—216no—
308#529—216no—
309#529—28no—
310#529—28no—
311#529—216no—
312#529—216no—
313#529—28no—
314#529D4116yescomplemented
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2312yes—
321C2×#125—28no—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337#525—216no—
338#525—28no—
339#525—28no—
340#525—216no—
341#525—48no—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2311yescharacteristic
406C2×#120C2312yes—
407C2×#120C2312yes—
408C2×#120C2314yes—
409C4×#41—28no—
410C4×#41—28no—
411C4×#41—216no—
412C4×#41—216no—
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2314yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2314yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2312yes—
479C22×C42—28no—
480C22×C42C2311yescharacteristic
481C22×C42C2311yescharacteristic
482C22×C42C2311yescharacteristic
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487C22×C42C2311yescharacteristic
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2311yescharacteristic
493C22×C42C2311yescharacteristic
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#391C2314yes—
575#391C2314yes—
576#391C2314yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#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#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#381C2314yes—
729#381C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C2×#95C2312yes—
769C2×#95C2312yes—
770C2×#95C2314yes—
771C2×#95C2312yes—
772C2×#95C2312yes—
773C2×#95C2312yes—
774C2×#95C2312yes—
775C25C2411yescharacteristic
776C2×#41—24no—
777C2×#41—28no—
778C2×#41—24no—
779C2×#41—216no—
780C2×#41—28no—
781C2×#41—28no—
782C2×#41—28no—
783C2×#41—28no—
784C2×#41—44no—
785C2×#41—42no—
786C2×#41—42no—
787C2×#41—44no—
788C2×#41—42no—
789C2×#41—42no—
790C2×#41—44no—
791C2×#41—48no—
792C2×#41—44no—
793C2×#41—48no—
794C22×Q8C2412yes—
795C22×Q8C2412yes—
796C22×Q8C2411yescharacteristic
797C22×Q8C2414yes—
798C22×Q8C2412yes—
799C22×Q8C2411yescharacteristic
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2412yes—
810C22×D4C2411yescharacteristic
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2412yes—
815C22×D4C2414yes—
816C22×D4C2412yes—
817C22×D4C2414yes—
818C22×D4C2414yes—
819C22×D4C2411yescharacteristic
820C23×C4—24no—
821C23×C4—24no—
822C23×C4—24no—
823C23×C4—24no—
824C23×C4—24no—
825C23×C4—42no—
826C23×C4—42no—
827C23×C4—42no—
828C23×C4—42no—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2411yescharacteristic
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—216no—
866C4⋊Q8—24no—
867C4⋊Q8—28no—
868C4⋊Q8—48no—
869#127—24no—
870#127—24no—
871#126—28no—
872#126—216no—
873#126—216no—
874#126—28no—
875#126—28no—
876#126C2×D4116yes—
877#125—28no—
878#125—28no—
879#125—216no—
880#125—28no—
881#125—28no—
882#125—28no—
883#125—28no—
884#125—24no—
885#125—28no—
886#125C2×D418yes—
887#124—28no—
888#124—28no—
889#124—24no—
890#124—28no—
891#124C2×D418yes—
892#123—28no—
893#123—216no—
894#123—28no—
895#123—28no—
896#123—216no—
897#123—216no—
898#123—28no—
899#123—28no—
900#123—216no—
901#123—216no—
902#123—216no—
903#123—216no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123C2×D4116yes—
909C22⋊Q8—24no—
910C22⋊Q8—216no—
911C22⋊Q8—24no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—24no—
916C22⋊Q8—216no—
917C22⋊Q8—216no—
918C22⋊Q8—216no—
919C22⋊Q8—28no—
920C22⋊Q8—216no—
921C22⋊Q8—216no—
922C22⋊Q8—48no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8C2×D418yes—
927#121—24no—
928#121—28no—
929#121—216no—
930#121—216no—
931#121—24no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—24no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—216no—
942#121—216no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—48no—
947#121—48no—
948#121—48no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—48no—
954#121—48no—
955#121C2×D418yes—
956#120—28no—
957#120—28no—
958#120—48no—
959C4×Q8—24no—
960C4×Q8—28no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—24no—
964C4×Q8—28no—
965C4×Q8—24no—
966C4×Q8C2×D418yes—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—216no—
984C4×D4—216no—
985C4×D4—28no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—48no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4C2×D4116yes—
997C4×D4C2×D418yes—
998#117—28no—
999#117—24no—
1000#117—24no—
1001#117—28no—
1002#117—28no—
1003#117—28no—
1004#117—28no—
1005#117—28no—
1006#117—28no—
1007#117—28no—
1008#117—44no—
1009#117—44no—
1010#117C2×D4116yes—
1011C2×C4⋊C4—28no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—28no—
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—28no—
1016C2×C4⋊C4—28no—
1017C2×C4⋊C4—216no—
1018C2×C4⋊C4—42no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—42no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4—48no—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4—44no—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C42—28no—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42—28no—
1142C2×C42—24no—
1143C2×C42—24no—
1144C2×C42—24no—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—24no—
1150C2×C42C2×D418yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—41no—
1220C24—41no—
1221C24C2514yes—
1222C24C2512yes—
1223C24C2512yes—
1224C24C2511yescharacteristic
1225C24C2511yescharacteristic
1226C24C2511yescharacteristic
1227#41—432no—
1228#41—432no—
1229#41—416no—
1230#41—416no—
1231#41—816no—
1232#41—832no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—28no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—42no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—42no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—42no—
1247C2×Q8—44no—
1248C2×Q8—42no—
1249C2×Q8—44no—
1250C2×Q8C22×D414yes—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—28no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4C22×D418yes—
1310C2×D4C22×D414yes—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—28no—
1367C22×C4—28no—
1368C22×C4—28no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—416no—
1388C22×C4—416no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—416no—
1407C22×C4C22×D414yes—
1408C22×C4C22×D414yes—
1409C22×C4C22×D418yes—
1410C22×C4C22×D414yes—
1411C22×C4H(5,𝔽2)14yes—
1412C22×C42−1+414yes—
1413C22×C4C2514yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2514yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2514yes—
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4C22×D418yes—
1492C4⋊C4C22×D414yes—
1493C4⋊C4C22×D414yes—
1494C4⋊C4C22×D418yes—
1495C4⋊C4C22×D418yes—
1496C4⋊C4C22×D418yes—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4C22×D418yes—
1546C22⋊C4C22×D418yes—
1547C22⋊C4C22×D418yes—
1548C22⋊C4C22×D418yes—
1549C22⋊C4C22×D418yes—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—28no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42C22×D414yes—
1573C42C22×D414yes—
1574C42C22×D414yes—
1575C42C22×D414yes—
1576C42C22×D418yes—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—28no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—24no—
1602C23—24no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—24no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—24no—
1612C23—24no—
1613C23—22no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23C23×D414yes—
1621C23C23×D412yes—
1622C23C2×H(5,𝔽2)12yes—
1623C23C2×2−1+412yes—
1624C23#58512yes—
1625C23#58512yes—
1626C23C2611yescharacteristic
1627Q8—44no—
1628Q8—48no—
1629Q8—48no—
1630Q8—44no—
1631Q8—84no—
1632Q8—88no—
1633D4—216no—
1634D4—44no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—48no—
1641D4—48no—
1642D4—48no—
1643D4—416no—
1644D4—48no—
1645D4—84no—
1646D4—84no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653C2×C4—28no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—28no—
1679C2×C4—28no—
1680C2×C4—28no—
1681C2×C4—28no—
1682C2×C4—216no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—84no—
1744C2×C4—88no—
1745C2×C4—88no—
1746C2×C4C23×D414yes—
1747C2×C4C23×D412yes—
1748C2×C4C23×D412yes—
1749C2×C4C23×D412yes—
1750C2×C4C23×D412yes—
1751C2×C4C23×D412yes—
1752C2×C4C23×D414yes—
1753C2×C4C23×D414yes—
1754C2×C4C23×D412yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×2−1+412yes—
1758C2×C4C2×2−1+412yes—
1759C2×C4#58512yes—
1760C2×C4#58512yes—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—24no—
1769C22—22no—
1770C22—24no—
1771C22—22no—
1772C22—24no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—416no—
1777C22—42no—
1778C22—41no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—42no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—44no—
1791C22—44no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—44no—
1799C22—44no—
1800C22—42no—
1801C22—44no—
1802C22—42no—
1803C22#348814yes—
1804C22C24×D411yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C22×2−1+411yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—24no—
1816C4—22no—
1817C4—22no—
1818C4—24no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—24no—
1823C4—44no—
1824C4—44no—
1825C4—44no—
1826C4—44no—
1827C4—42no—
1828C4—44no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—44no—
1834C4—44no—
1835C4#348914yes—
1836C2—24no—
1837C2—44no—
1838C2—42no—
1839C2—42no—
1840C2—82no—
1841C2—84no—
1842C2#6274311yescharacteristic
1843C2#6274811yescharacteristic
1844C2C2×#348811yescharacteristic
1845C2C2×#348911yescharacteristic
1846C2#6281111yescharacteristic
1847C2#6282511yescharacteristic
1848C2#6283511yescharacteristic
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. C2×#3559C2semidirect
2. C2×#3444C2semidirect
3. #59092C2semidirect
4. #58993C2semidirect
5. #46227C2semidirect
6. #46224C2semidirect
7. #45975C2semidirect
8. #45972C2semidirect
9. #39590C2semidirect
10. #39462C2semidirect
11. #37839C2semidirect
12. #37836C2semidirect
13. #37804C2semidirect
14. #37768C2semidirect
15. #37745C2semidirect
16. #37736C2semidirect
17. #37708C2semidirect
18. #37679C2semidirect
19. #37554C2semidirect
20. #37549C2semidirect
21. #37279C2semidirect
22. #37276C2semidirect
23. #36624C2semidirect
24. C2×#2851C2semidirect
25. #36492C2semidirect
26. #36361C2semidirect
27. #36361C2semidirect
28. #36259C2semidirect
29. #35259C2semidirect
30. #35257C2semidirect
31. #34382C2semidirect
33. C2×#563C22semidirect
34. C2×#562C22semidirect
35. C2×#554C22semidirect
37. C2×#553C22semidirect
41. C2×#544C22semidirect
42. C2×#540C22semidirect
44. C2×#539C22semidirect
75. #2857C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
90. #2851C22semidirect
95. #2822C22semidirect
96. #2820C22semidirect
97. #2820C22semidirect
98. #2819C22semidirect
100. #2729C22semidirect
101. #2719C22semidirect
102. #2716C22semidirect
103. #2716C22semidirect
105. #2707C22semidirect
108. #2705C22semidirect
111. #2698C22semidirect
117. #2691C22semidirect
124. #2677C22semidirect
125. #2676C22semidirect
127. #2674C22semidirect
128. #2673C22semidirect
131. #2664C22semidirect
134. #2636C22semidirect
136. #2629C22semidirect
137. #2629C22semidirect
139. #2628C22semidirect
141. #2619C22semidirect
145. #2584C22semidirect
146. #2584C22semidirect
147. #2580C22semidirect
148. #2580C22semidirect
151. #2562C22semidirect
152. #2557C22semidirect
153. #2556C22semidirect
154. #2546C22semidirect
157. #2538C22semidirect
160. #2535C22semidirect
165. #2486C22semidirect
167. #2485C22semidirect
169. #2479C22semidirect
171. #2477C22semidirect
172. #2473C22semidirect
173. #2470C22semidirect
174. #2470C22semidirect
175. #2469C22semidirect
176. #2469C22semidirect
181. #2463C22semidirect
182. #2459C22semidirect
183. #2458C22semidirect
184. #2458C22semidirect
188. #2456C22semidirect
189. #2456C22semidirect
191. #2455C22semidirect
193. #2453C22semidirect
196. #2451C22semidirect
199. #2450C22semidirect
202. #2449C22semidirect
204. #2443C22semidirect
209. #2429C22semidirect
211. #2425C22semidirect
214. #2421C22semidirect
218. #2416C22semidirect
219. #2415C22semidirect
221. #2414C22semidirect
224. #2413C22semidirect
227. #2382C22semidirect
228. #2379C22semidirect
234. #2359C22semidirect
235. #2355C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
241. #2334C22semidirect
246. #2317C22semidirect
247. #2314C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
257. #2296C22semidirect
260. C2×#389C22semidirect
314. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35592
C2×#34442
#590922
#589932
#462272
#462242
#459752
#459722
#395902
#394622
#378392
#378362
#378042
#377682
#377452
#377362
#377082
#376792
#375542
#375492
#372792
#372762
#366242
C2×#28512
#364922
#363612
#362592
#352592
#352572
#343822