Finite Group Databasebeta

← #7801153

Subgroups — #7801153

Order 512.

5438 conjugacy classes of subgroups.

The subgroup lattice has 1619 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59643C212yesmaximal, complemented
2#59641C212yesmaximal, complemented
3#50150C214yesmaximal, complemented
4#49886C214yesmaximal, complemented
5#48765C214yesmaximal, complemented
6#48539C214yesmaximal, complemented
7#45430C211yesmaximal, characteristic, complemented
8#45356C211yesmaximal, characteristic, complemented
9#44979C211yesmaximal, characteristic, complemented
10#44933C211yesmaximal, characteristic, complemented
11#44286C214yesmaximal, complemented
12#44272C214yesmaximal, complemented
13#43110C214yesmaximal, complemented
14#43011C214yesmaximal, complemented
15#40007C212yesmaximal, complemented
16#39500C211yesmaximal, characteristic, complemented
17#39489C211yesmaximal, characteristic, complemented
18#39375C212yesmaximal, complemented
19#37946C212yesmaximal, complemented
20#37892C212yesmaximal, complemented
21#37278C212yesmaximal, complemented
22#36195C211yesmaximal, characteristic, complemented
23#36179C211yesmaximal, characteristic, complemented
24#36022C211yesmaximal, characteristic, complemented
25#35730C211yesmaximal, characteristic, complemented
26#35701C211yesmaximal, characteristic, complemented
27#35693C211yesmaximal, characteristic, complemented
28#35283C211yesmaximal, characteristic, complemented
29#34880C211yesmaximal, characteristic, complemented
30#34384C212yesmaximal, complemented
31#34275C211yesmaximal, characteristic, complemented
32C2×#559C2214yescomplemented
33C2×#555C2211yescharacteristic
34C2×#554C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic
36C2×#547C2214yescomplemented
37C2×#547C2211yescharacteristic, complemented
38C2×#538C2214yes—
39C2×#535C2211yescharacteristic
40C2×#529C2212yes—
41C2×#520C2211yescharacteristic
42C2×#518C2211yescharacteristic
43#2868C2211yescharacteristic, complemented
44#2862C2211yescharacteristic, complemented
45#2857C2212yes—
46#2856C2212yes—
47#2850C2212yes—
48#2808C2214yescomplemented
49#2795C2214yescomplemented
50#2793C2214yescomplemented
51#2790C2214yescomplemented
52#2777C2214yescomplemented
53#2773C2214yescomplemented
54#2757C2214yescomplemented
55#2749C2214yescomplemented
56#2741C2214yes—
57#2740C2214yescomplemented
58#2733C2214yescomplemented
59#2732C2214yescomplemented
60#2730C2214yes—
61#2730C2214yescomplemented
62#2727C2214yes—
63#2718C2214yescomplemented
64#2714C2214yes—
65#2711C2214yes—
66#2710C2214yes—
67#2710C2214yes—
68#2710C2214yescomplemented
69#2710C2214yescomplemented
70#2710C2214yescomplemented
71#2703C2214yes—
72#2701C2214yescomplemented
73#2700C2214yescomplemented
74#2696C2214yes—
75#2694C2214yescomplemented
76#2689C2214yescomplemented
77#2688C2214yescomplemented
78#2685C2214yes—
79#2682C2214yes—
80#2678C2214yes—
81#2676C2214yes—
82#2674C2214yescomplemented
83#2674C2214yescomplemented
84#2673C2214yes—
85#2673C2214yescomplemented
86#2670C2214yes—
87#2669C2214yes—
88#2649C2214yescomplemented
89#2647C2212yescomplemented
90#2638C2212yes—
91#2638C2212yes—
92#2635C2212yes—
93#2633C2212yes—
94#2628C2211yescharacteristic
95#2628C2211yescharacteristic
96#2626C2214yes—
97#2620C2212yes—
98#2619C2212yes—
99#2611C2212yescomplemented
100#2607C2214yescomplemented
101#2604C2214yescomplemented
102#2603C2214yescomplemented
103#2598C2212yescomplemented
104#2592C2212yes—
105#2591C2214yescomplemented
106#2589C2214yescomplemented
107#2583C2212yescomplemented
108#2580C2214yescomplemented
109#2579C2214yescomplemented
110#2572C2214yescomplemented
111#2567C2211yescharacteristic, complemented
112#2563C2211yescharacteristic
113#2561C2212yes—
114#2560C2214yescomplemented
115#2559C2214yescomplemented
116#2557C2214yescomplemented
117#2557C2214yescomplemented
118#2556C2212yescomplemented
119#2555C2212yes—
120#2554C2212yescomplemented
121#2553C2212yes—
122#2548C2212yes—
123#2542C2211yescharacteristic
124#2542C2211yescharacteristic, complemented
125#2542C2214yescomplemented
126#2541C2212yes—
127#2540C2212yes—
128#2539C2212yes—
129#2536C2211yescharacteristic, complemented
130#2535C2211yescharacteristic
131#2535C2211yescharacteristic
132#2535C2211yescharacteristic, complemented
133#2532C2214yescomplemented
134#2526C2214yescomplemented
135#2521C2212yes—
136#2521C2214yescomplemented
137#2519C2212yescomplemented
138#2516C2214yescomplemented
139#2513C2212yescomplemented
140#2512C2212yes—
141#2512C2212yes—
142#2511C2212yescomplemented
143#2511C2214yescomplemented
144#2501C2212yes—
145#2501C2212yes—
146#2501C2212yescomplemented
147#2501C2214yescomplemented
148#2501C2214yescomplemented
149#2499C2212yescomplemented
150#2492C2214yes—
151#2492C2212yescomplemented
152#2491C2212yes—
153#2491C2212yes—
154#2491C2212yescomplemented
155#2482C2212yes—
156#2481C2214yescomplemented
157#2472C2214yes—
158#2471C2214yescomplemented
159#2470C2214yescomplemented
160#2465C2214yescomplemented
161#2464C2212yes—
162#2464C2214yescomplemented
163#2463C2214yes—
164#2461C2214yes—
165#2461C2212yescomplemented
166#2459C2214yescomplemented
167#2459C2214yescomplemented
168#2459C2214yescomplemented
169#2458C2214yescomplemented
170#2457C2214yes—
171#2456C2214yescomplemented
172#2455C2214yes—
173#2455C2214yescomplemented
174#2455C2214yescomplemented
175#2451C2214yescomplemented
176#2449C2214yescomplemented
177#2448C2214yescomplemented
178#2448C2214yescomplemented
179#2445C2214yescomplemented
180#2443C2214yescomplemented
181#2441C2214yescomplemented
182#2431C2214yescomplemented
183#2423C2214yes—
184#2423C2212yescomplemented
185#2422C2212yes—
186#2422C2212yescomplemented
187#2422C2214yescomplemented
188#2420C2212yes—
189#2418C2214yes—
190#2418C2214yes—
191#2418C2214yes—
192#2417C2212yescomplemented
193#2416C2212yes—
194#2416C2212yes—
195#2414C2212yescomplemented
196#2408C2212yes—
197#2408C2212yes—
198#2407C2212yes—
199#2407C2212yes—
200#2407C2214yescomplemented
201#2406C2212yescomplemented
202#2404C2212yes—
203#2399C2211yescharacteristic, complemented
204#2397C2212yes—
205#2397C2211yescharacteristic, complemented
206#2395C2212yes—
207#2392C2211yescharacteristic
208#2392C2211yescharacteristic
209#2388C2212yes—
210#2388C2212yes—
211#2383C2214yes—
212#2383C2214yescomplemented
213#2374C2214yescomplemented
214#2372C2214yescomplemented
215#2363C2212yes—
216#2363C2214yes—
217#2361C2214yes—
218#2361C2212yes—
219#2361C2214yes—
220#2361C2212yescomplemented
221#2360C2212yescomplemented
222#2360C2214yescomplemented
223#2358C2214yes—
224#2358C2214yes—
225#2357C2211yescharacteristic
226#2357C2211yescharacteristic
227#2357C2211yescharacteristic, complemented
228#2356C2211yescharacteristic, complemented
229#2355C2212yescomplemented
230#2354C2212yes—
231#2352C2212yes—
232#2352C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yescomplemented
237#2335C2214yescomplemented
238#2331C2211yescharacteristic, complemented
239#2331C2211yescharacteristic, complemented
240#2330C2214yescomplemented
241#2328C2211yescharacteristic
242#2328C2211yescharacteristic
243#2326C2211yescharacteristic
244#2326C2211yescharacteristic
245#2326C2214yes—
246#2322C2214yes—
247#2322C2214yescomplemented
248#2317C2211yescharacteristic
249#2317C2212yescomplemented
250#2314C2212yes—
251#2314C2212yescomplemented
252C4×C4⋊Q8C2212yescomplemented
253C4×#127C2211yescharacteristic
254C4×#127C2211yescharacteristic
255C4×#124C2211yescharacteristic
256C4×#124C2211yescharacteristic
257C4×#124C2212yescomplemented
258C4×#121C2212yes—
259#2297C2211yescharacteristic
260#2293C2211yescharacteristic, complemented
261C2×#390C2211yescharacteristic
262#2290C2212yescomplemented
263C2×#384C2212yescomplemented
264#2283C2212yescomplemented
265C42×D4C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×D4C2311yescharacteristic
271#559—416no—
272#555—44no—
273#554—44no—
274#547—44no—
275#547—44no—
276#547—416no—
277#538—416no—
278#535—28no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#127C2314yes—
286#529—216no—
287C2×#126C2312yes—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#125C2312yes—
292C2×#125C2312yes—
293C2×#124C2312yes—
294C2×#124C2311yescharacteristic
295C2×#124C2311yescharacteristic
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#123C2312yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340#520—44no—
341#518—44no—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2312yes—
409#399C2312yes—
410#399C2312yes—
411#399C2314yes—
412#399C2312yes—
413#399C2312yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2311yescharacteristic
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2311yescharacteristic
422#398C2312yes—
423#397C2314yes—
424#397C2311yescharacteristic
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2311yescharacteristic
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#395C2312yes—
448#395C2312yes—
449#395C2312yes—
450#395C2312yes—
451#395C2312yes—
452#395C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2311yescharacteristic
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2311yescharacteristic
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2312yes—
478#393C2312yes—
479#393C2312yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#392C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2312yes—
491#392C2311yescharacteristic
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2311yescharacteristic
496#392C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2314yes—
675#384C2312yes—
676#384C2312yes—
677#384C2314yes—
678#384C2314yes—
679#383C2312yes—
680#383C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#381C2312yes—
692#381C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#379C2314yes—
704#379C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2311yescharacteristic
740#376C2311yescharacteristic
741#376C2314yes—
742#376C2312yes—
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C25C2412yes—
746C2×#41—24no—
747C2×#41—48no—
748C2×#41—48no—
749C2×#41—42no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—44no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2414yes—
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×D4—24no—
759C22×D4—42no—
760C22×D4—42no—
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C4⋊Q8—24no—
798C4⋊Q8—24no—
799C4⋊Q8—44no—
800C4⋊Q8—48no—
801#127—24no—
802#127—24no—
803#127—48no—
804#126—28no—
805#126—28no—
806#126—48no—
807#126—48no—
808#125—28no—
809#125—44no—
810#124—28no—
811#124—216no—
812#124—28no—
813#124—24no—
814#124—24no—
815#124—48no—
816#124—48no—
817#124—48no—
818#124—48no—
819#123—28no—
820#123—28no—
821#123—216no—
822#123—216no—
823#123—48no—
824#123—48no—
825#123—48no—
826#123—48no—
827#123—48no—
828#123—48no—
829#123—48no—
830#123—48no—
831C22⋊Q8—28no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836C22⋊Q8—48no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840#121—216no—
841#121—28no—
842#121—28no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—48no—
853#121—48no—
854#120—216no—
855#120—48no—
856#120—48no—
857C4×Q8—28no—
858C4×Q8—24no—
859C4×Q8—42no—
860C4×Q8—48no—
861C4×Q8—48no—
862C4×D4—28no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—28no—
866C4×D4—24no—
867C4×D4—24no—
868C4×D4—24no—
869C4×D4—24no—
870C4×D4—24no—
871C4×D4—44no—
872C4×D4—48no—
873C4×D4—48no—
874C4×D4—48no—
875C4×D4—42no—
876C4×D4—42no—
877C4×D4—42no—
878C4×D4—48no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—48no—
886C4×D4—48no—
887#117—28no—
888#117—24no—
889#117—44no—
890#117—42no—
891#117—44no—
892#117—44no—
893#117#4118yescomplemented
894C2×C4⋊C4—42no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—48no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—48no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C22⋊C4—44no—
955C2×C22⋊C4—44no—
956C2×C22⋊C4—48no—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C42—28no—
1023C2×C42—42no—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099C24—24no—
1100C24—42no—
1101C24—42no—
1102C24—44no—
1103C24—44no—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109C24C2512yes—
1110#41—416no—
1111#41—816no—
1112#41—816no—
1113C2×Q8—24no—
1114C2×Q8—22no—
1115C2×Q8—22no—
1116C2×Q8—24no—
1117C2×Q8—28no—
1118C2×Q8—24no—
1119C2×Q8—24no—
1120C2×Q8—22no—
1121C2×Q8—42no—
1122C2×Q8—44no—
1123C2×Q8—44no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—416no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4C2×#4114yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4C2×#4118yes—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4C2×#4118yes—
1368C22⋊C4H(5,𝔽2)18yes—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—28no—
1378C42—22no—
1379C42—22no—
1380C42—42no—
1381C42—44no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42C2×#4114yes—
1392C42C2×#4114yes—
1393C42H(5,𝔽2)14yes—
1394C23—22no—
1395C23—21no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—24no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—48no—
1427C23—88no—
1428C23—162no—
1429C23—162no—
1430C23—164no—
1431C23C22×#4112yes—
1432C23C2×H(5,𝔽2)14yes—
1433C23C2611yescharacteristic
1434Q8—48no—
1435Q8—44no—
1436Q8—88no—
1437Q8—84no—
1438Q8—84no—
1439D4—28no—
1440D4—48no—
1441D4—48no—
1442D4—44no—
1443D4—48no—
1444D4—48no—
1445D4—48no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—88no—
1450D4—88no—
1451D4—84no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—88no—
1456D4—164no—
1457D4—164no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—28no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—48no—
1517C2×C4—48no—
1518C2×C4—48no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—84no—
1525C2×C4—88no—
1526C2×C4—88no—
1527C2×C4—162no—
1528C2×C4—162no—
1529C2×C4—164no—
1530C2×C4—162no—
1531C2×C4—162no—
1532C2×C4C22×#4114yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C2×H(5,𝔽2)12yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×H(5,𝔽2)12yes—
1541C2×C4#58512yes—
1542C22—24no—
1543C22—24no—
1544C22—22no—
1545C22—24no—
1546C22—24no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—41no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—44no—
1557C22—44no—
1558C22—44no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—44no—
1575C22—44no—
1576C22—168no—
1577C22C23×#4111yescharacteristic
1578C22C22×H(5,𝔽2)12yes—
1579C22C22×H(5,𝔽2)11yescharacteristic
1580C22C2×#58511yescharacteristic
1581C222−1+612yes—
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—24no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—44no—
1598C4—44no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4—44no—
1606C4#350614yes—
1607C2—44no—
1608C2—42no—
1609C2—82no—
1610C2—82no—
1611C2—82no—
1612C2—82no—
1613C2C2×#350611yescharacteristic
1614C2#6283211yescharacteristic
1615C2#6288711yescharacteristic
1616C2#6292112yes—
1617C2#6298512yes—
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. #59643C2semidirect
2. #59641C2semidirect
3. #50150C2semidirect
4. #49886C2semidirect
5. #48765C2semidirect
6. #48539C2semidirect
7. #45430C2semidirect
8. #45356C2semidirect
9. #44979C2semidirect
10. #44933C2semidirect
11. #44286C2semidirect
12. #44272C2semidirect
13. #43110C2semidirect
14. #43011C2semidirect
15. #40007C2semidirect
16. #39500C2semidirect
17. #39489C2semidirect
18. #39375C2semidirect
19. #37946C2semidirect
20. #37892C2semidirect
21. #37278C2semidirect
22. #36195C2semidirect
23. #36179C2semidirect
24. #36022C2semidirect
25. #35730C2semidirect
26. #35701C2semidirect
27. #35693C2semidirect
28. #35283C2semidirect
29. #34880C2semidirect
30. #34384C2semidirect
31. #34275C2semidirect
32. C2×#559C22semidirect
34. C2×#554C22semidirect
36. C2×#547C22semidirect
37. C2×#547C22semidirect
43. #2868C22semidirect
44. #2862C22semidirect
48. #2808C22semidirect
49. #2795C22semidirect
50. #2793C22semidirect
51. #2790C22semidirect
52. #2777C22semidirect
53. #2773C22semidirect
54. #2757C22semidirect
55. #2749C22semidirect
57. #2740C22semidirect
58. #2733C22semidirect
59. #2732C22semidirect
61. #2730C22semidirect
63. #2718C22semidirect
68. #2710C22semidirect
69. #2710C22semidirect
70. #2710C22semidirect
72. #2701C22semidirect
73. #2700C22semidirect
75. #2694C22semidirect
76. #2689C22semidirect
77. #2688C22semidirect
82. #2674C22semidirect
83. #2674C22semidirect
85. #2673C22semidirect
88. #2649C22semidirect
89. #2647C22semidirect
99. #2611C22semidirect
100. #2607C22semidirect
101. #2604C22semidirect
102. #2603C22semidirect
103. #2598C22semidirect
105. #2591C22semidirect
106. #2589C22semidirect
107. #2583C22semidirect
108. #2580C22semidirect
109. #2579C22semidirect
110. #2572C22semidirect
111. #2567C22semidirect
114. #2560C22semidirect
115. #2559C22semidirect
116. #2557C22semidirect
117. #2557C22semidirect
118. #2556C22semidirect
120. #2554C22semidirect
124. #2542C22semidirect
125. #2542C22semidirect
129. #2536C22semidirect
132. #2535C22semidirect
133. #2532C22semidirect
134. #2526C22semidirect
136. #2521C22semidirect
137. #2519C22semidirect
138. #2516C22semidirect
139. #2513C22semidirect
142. #2511C22semidirect
143. #2511C22semidirect
146. #2501C22semidirect
147. #2501C22semidirect
148. #2501C22semidirect
149. #2499C22semidirect
151. #2492C22semidirect
154. #2491C22semidirect
156. #2481C22semidirect
158. #2471C22semidirect
159. #2470C22semidirect
160. #2465C22semidirect
162. #2464C22semidirect
165. #2461C22semidirect
166. #2459C22semidirect
167. #2459C22semidirect
168. #2459C22semidirect
169. #2458C22semidirect
171. #2456C22semidirect
173. #2455C22semidirect
174. #2455C22semidirect
175. #2451C22semidirect
176. #2449C22semidirect
177. #2448C22semidirect
178. #2448C22semidirect
179. #2445C22semidirect
180. #2443C22semidirect
181. #2441C22semidirect
182. #2431C22semidirect
184. #2423C22semidirect
186. #2422C22semidirect
187. #2422C22semidirect
192. #2417C22semidirect
195. #2414C22semidirect
200. #2407C22semidirect
201. #2406C22semidirect
203. #2399C22semidirect
205. #2397C22semidirect
212. #2383C22semidirect
213. #2374C22semidirect
214. #2372C22semidirect
220. #2361C22semidirect
221. #2360C22semidirect
222. #2360C22semidirect
227. #2357C22semidirect
228. #2356C22semidirect
229. #2355C22semidirect
232. #2352C22semidirect
233. Q8×C4⋊C4C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2335C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
247. #2322C22semidirect
249. #2317C22semidirect
251. #2314C22semidirect
252. C4×C4⋊Q8C22semidirect
257. C4×#124C22semidirect
260. #2293C22semidirect
262. #2290C22semidirect
263. C2×#384C22semidirect
264. #2283C22semidirect
265. C42×D4C22semidirect
893. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596432
#596412
#501502
#498862
#487652
#485392
#454302
#453562
#449792
#449332
#442862
#442722
#431102
#430112
#400072
#395002
#394892
#393752
#379462
#378922
#372782
#361952
#361792
#360222
#357302
#357012
#356932
#352832
#348802
#343842
#342752