Finite Group Databasebeta

← #7689013

Subgroups — #7689013

Order 512.

6195 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60045C212yesmaximal, complemented
2#59945C211yesmaximal, characteristic, complemented
3#59839C214yesmaximal, complemented
4#59800C214yesmaximal, complemented
5#59693C212yesmaximal, complemented
6#59095C212yesmaximal, complemented
7#45047C211yesmaximal, characteristic, complemented
8#44946C212yesmaximal, complemented
9#44870C211yesmaximal, characteristic, complemented
10#44836C212yesmaximal, complemented
11#44148C214yesmaximal, complemented
12#43478C212yesmaximal, complemented
13#38862C214yesmaximal, complemented
14#38838C214yesmaximal, complemented
15#38216C212yesmaximal, complemented
16#37782C212yesmaximal, complemented
17#36462C212yesmaximal, complemented
18#36461C212yesmaximal, complemented
19#36412C211yesmaximal, characteristic, complemented
20#36362C214yesmaximal, complemented
21#36264C212yesmaximal, complemented
22#36087C211yesmaximal, characteristic, complemented
23#36004C211yesmaximal, characteristic, complemented
24#35741C212yesmaximal, complemented
25#34962C212yesmaximal, complemented
26#34871C211yesmaximal, characteristic, complemented
27#34310C212yesmaximal, complemented
28#34275C212yesmaximal, complemented
29#34155C212yesmaximal, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#553C2214yescomplemented
32C2×#551C2214yescomplemented
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2214yescomplemented
35C2×D42C2212yes—
36C2×#535C2212yes—
37C2×#532C2212yes—
38C2×#520C2211yescharacteristic, complemented
39C2×#518C2211yescharacteristic
40C2×#518C2212yescomplemented
41#2861C2214yescomplemented
42#2860C2212yescomplemented
43#2858C2211yescharacteristic, complemented
44#2856C2212yescomplemented
45#2854C2212yescomplemented
46#2850C2214yescomplemented
47#2804C2212yescomplemented
48#2804C2214yescomplemented
49#2782C2212yescomplemented
50#2763C2214yescomplemented
51#2753C2214yescomplemented
52#2753C2214yescomplemented
53#2720C2214yescomplemented
54#2718C2214yescomplemented
55#2714C2214yescomplemented
56#2712C2214yescomplemented
57#2712C2212yescomplemented
58#2711C2214yescomplemented
59#2710C2214yescomplemented
60#2703C2214yescomplemented
61#2692C2214yescomplemented
62#2684C2212yescomplemented
63#2679C2212yes—
64#2678C2214yescomplemented
65#2676C2214yescomplemented
66#2673C2214yescomplemented
67#2670C2212yes—
68#2670C2214yescomplemented
69#2670C2214yescomplemented
70#2669C2214yes—
71#2635C2214yescomplemented
72#2632C2212yescomplemented
73#2631C2212yescomplemented
74#2624C2211yescharacteristic, complemented
75#2619C2212yescomplemented
76#2615C2211yescharacteristic, complemented
77#2612C2211yescharacteristic, complemented
78#2610C2212yescomplemented
79#2610C2214yescomplemented
80#2609C2211yescharacteristic, complemented
81#2603C2214yescomplemented
82#2598C2212yescomplemented
83#2598C2214yescomplemented
84#2598C2214yescomplemented
85#2598C2214yescomplemented
86#2598C2212yescomplemented
87#2593C2212yescomplemented
88#2586C2211yescharacteristic, complemented
89#2580C2212yescomplemented
90#2574C2214yescomplemented
91#2572C2212yescomplemented
92#2572C2211yescharacteristic, complemented
93#2572C2214yescomplemented
94#2572C2214yescomplemented
95#2567C2211yescharacteristic, complemented
96#2566C2214yescomplemented
97#2560C2214yescomplemented
98#2559C2214yescomplemented
99#2558C2214yescomplemented
100#2557C2214yescomplemented
101#2555C2212yes—
102#2555C2214yescomplemented
103#2555C2214yescomplemented
104#2554C2212yescomplemented
105#2554C2214yescomplemented
106#2554C2214yescomplemented
107#2554C2214yescomplemented
108#2544C2214yescomplemented
109#2541C2212yes—
110#2541C2211yescharacteristic
111#2540C2212yes—
112#2540C2212yescomplemented
113#2539C2214yescomplemented
114#2532C2214yescomplemented
115#2532C2212yescomplemented
116#2526C2212yescomplemented
117#2526C2214yescomplemented
118#2518C2214yescomplemented
119#2518C2214yescomplemented
120#2512C2212yescomplemented
121#2508C2212yescomplemented
122#2506C2212yescomplemented
123#2502C2214yescomplemented
124#2501C2211yescharacteristic, complemented
125#2500C2214yescomplemented
126#2500C2212yescomplemented
127#2495C2212yescomplemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2487C2211yescharacteristic, complemented
131#2482C2214yescomplemented
132#2479C2212yescomplemented
133#2472C2214yescomplemented
134#2472C2214yescomplemented
135#2471C2212yes—
136#2467C2214yescomplemented
137#2464C2214yescomplemented
138#2464C2214yescomplemented
139#2464C2214yescomplemented
140#2464C2214yescomplemented
141#2464C2214yescomplemented
142#2461C2214yescomplemented
143#2461C2214yescomplemented
144#2459C2214yescomplemented
145#2459C2214yescomplemented
146#2456C2214yescomplemented
147#2456C2214yescomplemented
148#2455C2212yescomplemented
149#2452C2212yescomplemented
150#2452C2212yescomplemented
151#2449C2214yescomplemented
152#2445C2212yes—
153#2445C2212yescomplemented
154#2445C2212yescomplemented
155#2443C2214yescomplemented
156#2440C2212yescomplemented
157#2439C2212yescomplemented
158#2433C2214yes—
159#2433C2212yes—
160#2433C2211yescharacteristic
161#2433C2212yescomplemented
162#2431C2214yescomplemented
163#2431C2212yescomplemented
164#2428C2212yes—
165#2428C2212yescomplemented
166#2428C2212yescomplemented
167#2428C2212yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2424C2214yescomplemented
171#2424C2214yescomplemented
172#2424C2214yescomplemented
173#2424C2214yescomplemented
174#2420C2212yescomplemented
175#2416C2212yescomplemented
176#2414C2212yes—
177#2411C2214yescomplemented
178#2410C2214yescomplemented
179#2408C2211yescharacteristic
180#2404C2214yescomplemented
181#2404C2214yescomplemented
182#2404C2214yescomplemented
183#2403C2212yes—
184#2396C2212yescomplemented
185#2396C2212yescomplemented
186#2395C2211yescharacteristic, complemented
187#2392C2212yescomplemented
188#2388C2211yescharacteristic
189#2388C2214yescomplemented
190#2372C2214yescomplemented
191#2372C2214yescomplemented
192#2369C2212yescomplemented
193#2369C2212yescomplemented
194#2366C2212yes—
195#2366C2212yescomplemented
196#2366C2212yescomplemented
197#2363C2212yes—
198#2363C2212yes—
199#2363C2212yescomplemented
200#2363C2212yescomplemented
201#2363C2212yescomplemented
202#2363C2214yescomplemented
203#2363C2214yescomplemented
204#2363C2212yescomplemented
205#2363C2212yescomplemented
206#2363C2212yescomplemented
207#2361C2212yes—
208#2361C2214yescomplemented
209#2361C2212yescomplemented
210#2361C2212yescomplemented
211#2361C2212yescomplemented
212#2358C2214yescomplemented
213#2358C2214yescomplemented
214#2358C2212yescomplemented
215#2358C2214yescomplemented
216#2358C2214yescomplemented
217#2358C2214yescomplemented
218#2358C2214yescomplemented
219#2358C2214yescomplemented
220#2357C2212yescomplemented
221#2354C2212yescomplemented
222D4×C4⋊C4C2212yescomplemented
223#2347C2211yescharacteristic, complemented
224#2347C2211yescharacteristic, complemented
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2214yescomplemented
227D4×C22⋊C4C2212yescomplemented
228#2328C2214yescomplemented
229#2326C2214yescomplemented
230#2324C2212yes—
231#2324C2212yescomplemented
232#2321C2214yescomplemented
233#2321C2214yescomplemented
234#2317C2212yescomplemented
235C4×#127C2212yes—
236C4×#127C2214yescomplemented
237C4×#126C2212yescomplemented
238C4×#126C2214yescomplemented
239C4×#124C2211yescharacteristic, complemented
240C4×#124C2214yescomplemented
241C4×#123C2212yescomplemented
242C4×#123C2214yescomplemented
243C4×#121C2214yescomplemented
244#2297C2214yescomplemented
245#2297C2212yescomplemented
246#2297C2212yescomplemented
247#2297C2214yescomplemented
248#2293C2212yescomplemented
249#2293C2212yescomplemented
250#2293C2212yescomplemented
251#2293C2214yescomplemented
252C2×#390C2214yescomplemented
253C2×#390C2212yescomplemented
254C42×D4C2212yescomplemented
255C42×D4C2214yescomplemented
256C42×D4C2211yescharacteristic, complemented
257C4×#117C2212yescomplemented
258C4×#117C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C22×#41C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2314yes—
265#555—44no—
266#553—416no—
267#551—416no—
268#550—44no—
269#546—416no—
270D42—216no—
271#535—216no—
272#532—216no—
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127C2312yes—
276C2×#127C2314yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#126C2314yes—
282C2×#126C2312yes—
283C2×#126C2314yes—
284C2×#125C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2311yescharacteristic
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#123C2312yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2312yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332#520—44no—
333#518—44no—
334#518—48no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C42C2312yes—
386C22×C42C2314yes—
387C22×C42C2312yes—
388#400C2312yes—
389#400C2311yescharacteristic
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#399C2314yes—
395#399C2312yes—
396#399C2312yes—
397#399C2312yes—
398#399C2311yescharacteristic
399#399C2312yes—
400#399C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2311yescharacteristic
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2312yes—
410#397C2311yescharacteristic
411#397C2312yes—
412#397C2314yes—
413#396C2312yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2314yes—
420#395C2314yes—
421#395C2312yes—
422#395C2311yescharacteristic
423#395C2314yes—
424#394C2314yes—
425#394C2311yescharacteristic
426#394C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2312yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2312yes—
454#393C2311yescharacteristic
455#392C2312yes—
456#392C2312yes—
457#392C2314yes—
458#392C2312yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2312yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2311yescharacteristic
468#392C2314yes—
469#392C2314yes—
470#392C2312yes—
471#392C2314yes—
472#392C2312yes—
473#392C2314yes—
474#392C2312yes—
475#392C2314yes—
476#392C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2312yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2312yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#384C2312yes—
650#384C2314yes—
651#384C2312yes—
652#383C2312yes—
653#383C2314yes—
654#383C2312yes—
655#383C2312yes—
656#382C2314yes—
657#382C2314yes—
658#382C2312yes—
659#382C2311yescharacteristic
660#381C2312yes—
661#381C2314yes—
662#381C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2311yescharacteristic
667#380C2311yescharacteristic
668#379C2314yes—
669#379C2314yes—
670#379C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C22⋊C4C2311yescharacteristic
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717#376C2314yes—
718#376C2312yes—
719#376C2312yes—
720C43C2312yes—
721C43C2314yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725C2×#41—216no—
726C2×#41—28no—
727C2×#41—42no—
728C2×#41—48no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—84no—
732C2×#41—82no—
733C22×Q8C2411yescharacteristic
734C22×Q8C2411yescharacteristic
735C22×Q8C2414yes—
736C22×Q8C2412yes—
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—216no—
740C22×D4—28no—
741C22×D4—44no—
742C22×D4—42no—
743C22×D4—48no—
744C22×D4—84no—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C4⋊Q8—28no—
787C4⋊Q8—42no—
788#127—28no—
789#127—216no—
790#127—28no—
791#127—44no—
792#127—42no—
793#127—82no—
794#126—216no—
795#126—28no—
796#126—48no—
797#125—48no—
798#124—216no—
799#124—216no—
800#124—48no—
801#124—48no—
802#124—44no—
803#124—44no—
804#124—42no—
805#124—84no—
806#123—28no—
807#123—216no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815#121—216no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—216no—
822#121—48no—
823#121—44no—
824#121—48no—
825#121—48no—
826#121—48no—
827#121—44no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—42no—
833#121—42no—
834#121#41116yescomplemented
835#120—216no—
836#120—216no—
837#120—216no—
838#120—216no—
839#120—48no—
840#120—44no—
841#120—48no—
842#120—48no—
843#120—48no—
844#120—84no—
845C4×Q8—44no—
846C4×Q8—42no—
847C4×D4—28no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—216no—
854C4×D4—24no—
855C4×D4—216no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—44no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—48no—
869C4×D4—44no—
870C4×D4—48no—
871C4×D4—42no—
872C4×D4—48no—
873C4×D4—84no—
874#117—28no—
875#117—28no—
876#117—24no—
877#117—24no—
878#117—28no—
879#117—42no—
880#117—44no—
881#117—48no—
882#117—48no—
883#117—44no—
884#117—44no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—48no—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C22⋊C4—48no—
928C2×C22⋊C4—48no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4—48no—
931C2×C22⋊C4—48no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C42—28no—
1005C2×C42—82no—
1006C2×C42—84no—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2414yes—
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080C24—28no—
1081C24—28no—
1082C24—28no—
1083C24—44no—
1084C24—42no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—42no—
1090C24—44no—
1091C24—42no—
1092C24C2511yescharacteristic
1093C24C2514yes—
1094C24C2512yes—
1095C24C2511yescharacteristic
1096C24C2512yes—
1097C24C2514yes—
1098#41—416no—
1099#41—832no—
1100#41—816no—
1101C2×Q8—24no—
1102C2×Q8—28no—
1103C2×Q8—22no—
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8—44no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—42no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—22no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—432no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—41no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—41no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—41no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—416no—
1180C2×D4—832no—
1181C2×D4C2×#4118yes—
1182C2×D4C2×#41116yes—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—28no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—28no—
1197C22×C4—22no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4C2×#4118yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4C2×#4118yes—
1288C4⋊C4H(5,𝔽2)14yes—
1289C4⋊C4H(5,𝔽2)18yes—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4C2×#41116yes—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—28no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—24no—
1372C42—28no—
1373C42—24no—
1374C42—24no—
1375C42—28no—
1376C42—22no—
1377C42—22no—
1378C42—41no—
1379C42—44no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C23—22no—
1387C23—24no—
1388C23—22no—
1389C23—22no—
1390C23—24no—
1391C23—24no—
1392C23—24no—
1393C23—22no—
1394C23—22no—
1395C23—24no—
1396C23—24no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—24no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—21no—
1406C23—24no—
1407C23—22no—
1408C23—21no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—24no—
1416C23—21no—
1417C23—24no—
1418C23—22no—
1419C23—21no—
1420C23—416no—
1421C23—48no—
1422C23—88no—
1423C23—88no—
1424C23—88no—
1425C23—88no—
1426C23—88no—
1427C23—88no—
1428C23—164no—
1429C23—162no—
1430C23—162no—
1431C23—164no—
1432C23C22×#4118yes—
1433C23C22×#4114yes—
1434C23C2611yescharacteristic
1435Q8—44no—
1436Q8—44no—
1437Q8—88no—
1438Q8—162no—
1439D4—216no—
1440D4—416no—
1441D4—416no—
1442D4—416no—
1443D4—416no—
1444D4—48no—
1445D4—48no—
1446D4—48no—
1447D4—44no—
1448D4—44no—
1449D4—48no—
1450D4—88no—
1451D4—82no—
1452D4—88no—
1453D4—84no—
1454D4—88no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458D4—88no—
1459D4—88no—
1460D4—164no—
1461D4—162no—
1462D4—162no—
1463D4—162no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—216no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
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—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—416no—
1520C2×C4—416no—
1521C2×C4—48no—
1522C2×C4—48no—
1523C2×C4—416no—
1524C2×C4—48no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—88no—
1528C2×C4—88no—
1529C2×C4—162no—
1530C2×C4—164no—
1531C2×C4—164no—
1532C2×C4—164no—
1533C2×C4—164no—
1534C2×C4C22×#4114yes—
1535C2×C4C22×#4118yes—
1536C2×C4C22×#4114yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)14yes—
1540C2×C4C2×H(5,𝔽2)14yes—
1541C2×C4C2×H(5,𝔽2)12yes—
1542C2×C4#58512yes—
1543C22—24no—
1544C22—28no—
1545C22—24no—
1546C22—28no—
1547C22—24no—
1548C22—28no—
1549C22—44no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—44no—
1555C22—44no—
1556C22—42no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—44no—
1562C22—41no—
1563C22—44no—
1564C22—42no—
1565C22—41no—
1566C22—44no—
1567C22—42no—
1568C22—44no—
1569C22—44no—
1570C22—42no—
1571C22—42no—
1572C22—44no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—44no—
1578C22—42no—
1579C22—1616no—
1580C22—168no—
1581C22C23×#4112yes—
1582C22C22×H(5,𝔽2)12yes—
1583C22C22×H(5,𝔽2)11yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22H(7,𝔽2)11yescharacteristic
1586C4—24no—
1587C4—28no—
1588C4—24no—
1589C4—24no—
1590C4—22no—
1591C4—24no—
1592C4—24no—
1593C4—42no—
1594C4—44no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—42no—
1603C4—44no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4#348114yes—
1609C2—44no—
1610C2—48no—
1611C2—82no—
1612C2—81no—
1613C2—84no—
1614C2—81no—
1615C2C2×#348111yescharacteristic
1616C2#6280012yes—
1617C2#6291811yescharacteristic
1618C2#6298312yes—
1619C2#6304011yescharacteristic
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. #60045C2semidirect
2. #59945C2semidirect
3. #59839C2semidirect
4. #59800C2semidirect
5. #59693C2semidirect
6. #59095C2semidirect
7. #45047C2semidirect
8. #44946C2semidirect
9. #44870C2semidirect
10. #44836C2semidirect
11. #44148C2semidirect
12. #43478C2semidirect
13. #38862C2semidirect
14. #38838C2semidirect
15. #38216C2semidirect
16. #37782C2semidirect
17. #36462C2semidirect
18. #36461C2semidirect
19. #36412C2semidirect
20. #36362C2semidirect
21. #36264C2semidirect
22. #36087C2semidirect
23. #36004C2semidirect
24. #35741C2semidirect
25. #34962C2semidirect
26. #34871C2semidirect
27. #34310C2semidirect
28. #34275C2semidirect
29. #34155C2semidirect
30. C2×#555C22semidirect
31. C2×#553C22semidirect
32. C2×#551C22semidirect
33. C2×#550C22semidirect
34. C2×#546C22semidirect
38. C2×#520C22semidirect
40. C2×#518C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
43. #2858C22semidirect
44. #2856C22semidirect
45. #2854C22semidirect
46. #2850C22semidirect
47. #2804C22semidirect
48. #2804C22semidirect
49. #2782C22semidirect
50. #2763C22semidirect
51. #2753C22semidirect
52. #2753C22semidirect
53. #2720C22semidirect
54. #2718C22semidirect
55. #2714C22semidirect
56. #2712C22semidirect
57. #2712C22semidirect
58. #2711C22semidirect
59. #2710C22semidirect
60. #2703C22semidirect
61. #2692C22semidirect
62. #2684C22semidirect
64. #2678C22semidirect
65. #2676C22semidirect
66. #2673C22semidirect
68. #2670C22semidirect
69. #2670C22semidirect
71. #2635C22semidirect
72. #2632C22semidirect
73. #2631C22semidirect
74. #2624C22semidirect
75. #2619C22semidirect
76. #2615C22semidirect
77. #2612C22semidirect
78. #2610C22semidirect
79. #2610C22semidirect
80. #2609C22semidirect
81. #2603C22semidirect
82. #2598C22semidirect
83. #2598C22semidirect
84. #2598C22semidirect
85. #2598C22semidirect
86. #2598C22semidirect
87. #2593C22semidirect
88. #2586C22semidirect
89. #2580C22semidirect
90. #2574C22semidirect
91. #2572C22semidirect
92. #2572C22semidirect
93. #2572C22semidirect
94. #2572C22semidirect
95. #2567C22semidirect
96. #2566C22semidirect
97. #2560C22semidirect
98. #2559C22semidirect
99. #2558C22semidirect
100. #2557C22semidirect
102. #2555C22semidirect
103. #2555C22semidirect
104. #2554C22semidirect
105. #2554C22semidirect
106. #2554C22semidirect
107. #2554C22semidirect
108. #2544C22semidirect
112. #2540C22semidirect
113. #2539C22semidirect
114. #2532C22semidirect
115. #2532C22semidirect
116. #2526C22semidirect
117. #2526C22semidirect
118. #2518C22semidirect
119. #2518C22semidirect
120. #2512C22semidirect
121. #2508C22semidirect
122. #2506C22semidirect
123. #2502C22semidirect
124. #2501C22semidirect
125. #2500C22semidirect
126. #2500C22semidirect
127. #2495C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2487C22semidirect
131. #2482C22semidirect
132. #2479C22semidirect
133. #2472C22semidirect
134. #2472C22semidirect
136. #2467C22semidirect
137. #2464C22semidirect
138. #2464C22semidirect
139. #2464C22semidirect
140. #2464C22semidirect
141. #2464C22semidirect
142. #2461C22semidirect
143. #2461C22semidirect
144. #2459C22semidirect
145. #2459C22semidirect
146. #2456C22semidirect
147. #2456C22semidirect
148. #2455C22semidirect
149. #2452C22semidirect
150. #2452C22semidirect
151. #2449C22semidirect
153. #2445C22semidirect
154. #2445C22semidirect
155. #2443C22semidirect
156. #2440C22semidirect
157. #2439C22semidirect
161. #2433C22semidirect
162. #2431C22semidirect
163. #2431C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
167. #2428C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2424C22semidirect
171. #2424C22semidirect
172. #2424C22semidirect
173. #2424C22semidirect
174. #2420C22semidirect
175. #2416C22semidirect
177. #2411C22semidirect
178. #2410C22semidirect
180. #2404C22semidirect
181. #2404C22semidirect
182. #2404C22semidirect
184. #2396C22semidirect
185. #2396C22semidirect
186. #2395C22semidirect
187. #2392C22semidirect
189. #2388C22semidirect
190. #2372C22semidirect
191. #2372C22semidirect
192. #2369C22semidirect
193. #2369C22semidirect
195. #2366C22semidirect
196. #2366C22semidirect
199. #2363C22semidirect
200. #2363C22semidirect
201. #2363C22semidirect
202. #2363C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
206. #2363C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2361C22semidirect
211. #2361C22semidirect
212. #2358C22semidirect
213. #2358C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2358C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2358C22semidirect
220. #2357C22semidirect
221. #2354C22semidirect
222. D4×C4⋊C4C22semidirect
223. #2347C22semidirect
224. #2347C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. #2328C22semidirect
229. #2326C22semidirect
231. #2324C22semidirect
232. #2321C22semidirect
233. #2321C22semidirect
234. #2317C22semidirect
236. C4×#127C22semidirect
237. C4×#126C22semidirect
238. C4×#126C22semidirect
239. C4×#124C22semidirect
240. C4×#124C22semidirect
241. C4×#123C22semidirect
242. C4×#123C22semidirect
243. C4×#121C22semidirect
244. #2297C22semidirect
245. #2297C22semidirect
246. #2297C22semidirect
247. #2297C22semidirect
248. #2293C22semidirect
249. #2293C22semidirect
250. #2293C22semidirect
251. #2293C22semidirect
252. C2×#390C22semidirect
253. C2×#390C22semidirect
254. C42×D4C22semidirect
255. C42×D4C22semidirect
256. C42×D4C22semidirect
257. C4×#117C22semidirect
258. C4×#117C22semidirect
834. #121#41semidirect

Maximal subgroups

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

subgroupindex
#600452
#599452
#598392
#598002
#596932
#590952
#450472
#449462
#448702
#448362
#441482
#434782
#388622
#388382
#382162
#377822
#364622
#364612
#364122
#363622
#362642
#360872
#360042
#357412
#349622
#348712
#343102
#342752
#341552