Finite Group Databasebeta

← #7657656

Subgroups — #7657656

Order 512.

5954 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42058C214yesmaximal, complemented
2#42057C214yesmaximal, complemented
3#41962C214yesmaximal, complemented
4#41021C214yesmaximal, complemented
5#41009C214yesmaximal, complemented
6#40542C212yesmaximal, complemented
7#40540C212yesmaximal, complemented
8#39810C212yesmaximal, complemented
9#39808C212yesmaximal, complemented
10#37775C212yesmaximal, complemented
11#37772C212yesmaximal, complemented
12#37696C212yesmaximal, complemented
13#37694C212yesmaximal, complemented
14#37614C211yesmaximal, characteristic, complemented
15#37587C212yesmaximal, complemented
16#37587C212yesmaximal, complemented
17#37546C211yesmaximal, characteristic, complemented
18#36121C212yesmaximal, complemented
19#36111C212yesmaximal, complemented
20#35695C212yesmaximal, complemented
21#35694C212yesmaximal, complemented
22#35681C214yesmaximal, complemented
23#35304C211yesmaximal, characteristic, complemented
24#35276C212yesmaximal, complemented
25#34624C212yesmaximal, complemented
26C2×#2657C211yesmaximal, characteristic, complemented
27#34240C211yesmaximal, characteristic, complemented
28#34210C211yesmaximal, characteristic, complemented
29#34149C211yesmaximal, characteristic, complemented
30C2×#546C2214yes—
31C2×#542C2212yescomplemented
32C2×#540C2212yescomplemented
33C2×#532C2212yescomplemented
34C22×#127C2211yescharacteristic
35C22×#127C2212yes—
36C2×#529C2211yescharacteristic
37C2×#529C2212yescomplemented
38C22×#124C2211yescharacteristic
39C22×#124C2212yes—
40C2×#518C2212yes—
41#2861C2212yescomplemented
42#2858C2212yescomplemented
43#2857C2212yes—
44#2856C2212yescomplemented
45#2851C2212yes—
46#2850C2212yescomplemented
47#2829C2214yescomplemented
48#2829C2214yescomplemented
49#2828C2214yescomplemented
50#2828C2214yescomplemented
51#2820C2212yescomplemented
52#2819C2212yescomplemented
53#2818C2214yescomplemented
54#2803C2214yescomplemented
55#2803C2214yescomplemented
56#2797C2214yescomplemented
57#2797C2214yescomplemented
58#2752C2214yescomplemented
59#2733C2214yescomplemented
60#2730C2214yescomplemented
61#2715C2214yescomplemented
62#2714C2214yescomplemented
63#2714C2214yescomplemented
64#2712C2214yescomplemented
65#2712C2214yescomplemented
66#2710C2214yescomplemented
67#2710C2214yescomplemented
68#2710C2214yescomplemented
69#2709C2214yescomplemented
70#2709C2214yescomplemented
71#2705C2214yescomplemented
72#2700C2214yescomplemented
73#2682C2214yescomplemented
74#2673C2214yescomplemented
75#2673C2214yescomplemented
76#2673C2214yescomplemented
77#2673C2214yescomplemented
78#2662C2214yescomplemented
79#2662C2214yescomplemented
80#2662C2214yescomplemented
81#2661C2214yescomplemented
82#2661C2214yescomplemented
83#2661C2214yescomplemented
84#2661C2214yescomplemented
85#2660C2212yescomplemented
86#2657C2212yes—
87#2657C2212yes—
88#2657C2211yescharacteristic
89#2657C2214yes—
90#2657C2212yes—
91#2657C2212yes—
92#2657C2211yescharacteristic
93#2657C2211yescharacteristic
94#2657C2211yescharacteristic
95#2657C2212yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2647C2212yescomplemented
99#2641C2212yescomplemented
100#2641C2212yescomplemented
101#2640C2212yescomplemented
102#2635C2214yescomplemented
103#2635C2214yescomplemented
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2626C2212yes—
107#2620C2212yescomplemented
108#2620C2212yescomplemented
109#2620C2212yescomplemented
110#2619C2212yescomplemented
111#2619C2212yescomplemented
112#2619C2212yescomplemented
113#2617C2212yes—
114#2613C2214yes—
115#2612C2214yescomplemented
116#2606C2212yescomplemented
117#2605C2212yescomplemented
118#2602C2214yescomplemented
119#2602C2214yescomplemented
120#2600C2214yescomplemented
121#2592C2211yescharacteristic, complemented
122#2592C2211yescharacteristic, complemented
123#2569C2212yes—
124#2557C2214yescomplemented
125#2557C2214yescomplemented
126#2557C2214yescomplemented
127#2555C2214yescomplemented
128#2555C2214yescomplemented
129#2554C2214yescomplemented
130#2554C2214yescomplemented
131#2549C2212yes—
132#2548C2212yescomplemented
133#2544C2214yescomplemented
134#2541C2212yescomplemented
135#2540C2211yescharacteristic, complemented
136#2540C2211yescharacteristic, complemented
137#2521C2214yescomplemented
138#2480C2214yes—
139#2480C2214yes—
140#2474C2214yescomplemented
141#2472C2214yes—
142#2471C2214yescomplemented
143#2467C2214yescomplemented
144#2464C2214yescomplemented
145#2464C2214yescomplemented
146#2464C2214yescomplemented
147#2464C2214yescomplemented
148#2461C2214yescomplemented
149#2461C2214yescomplemented
150#2459C2214yescomplemented
151#2459C2214yescomplemented
152#2459C2214yescomplemented
153#2457C2214yescomplemented
154#2457C2214yescomplemented
155#2456C2214yescomplemented
156#2456C2214yescomplemented
157#2455C2214yescomplemented
158#2448C2212yescomplemented
159#2448C2212yescomplemented
160#2447C2212yescomplemented
161#2447C2212yescomplemented
162#2445C2214yescomplemented
163#2445C2212yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2445C2212yescomplemented
167#2438C2214yes—
168#2437C2214yes—
169#2435C2214yes—
170#2435C2212yes—
171#2433C2212yes—
172#2431C2214yescomplemented
173#2431C2214yescomplemented
174#2428C2214yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2428C2214yescomplemented
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2418C2214yes—
185#2414C2214yescomplemented
186#2412C2214yes—
187#2411C2214yes—
188#2410C2214yes—
189#2410C2214yes—
190#2409C2212yes—
191#2408C2212yes—
192#2408C2212yes—
193#2408C2212yes—
194#2408C2214yes—
195#2407C2214yescomplemented
196#2405C2214yes—
197#2405C2214yes—
198#2392C2214yescomplemented
199#2392C2214yescomplemented
200#2388C2214yescomplemented
201#2388C2214yescomplemented
202C2×#392C2212yes—
203C2×#392C2212yes—
204C2×#392C2214yes—
205#2373C2212yescomplemented
206#2373C2212yescomplemented
207#2372C2212yescomplemented
208#2372C2214yescomplemented
209#2371C2212yescomplemented
210#2368C2211yescharacteristic
211#2368C2211yescharacteristic
212#2367C2212yescomplemented
213#2367C2212yescomplemented
214#2366C2214yescomplemented
215#2366C2212yescomplemented
216#2366C2212yescomplemented
217#2364C2211yescharacteristic
218#2364C2211yescharacteristic
219#2359C2212yes—
220#2359C2212yes—
221#2358C2214yes—
222#2342C2214yes—
223#2342C2212yes—
224#2342C2212yes—
225Q8×C22⋊C4C2211yescharacteristic
226Q8×C22⋊C4C2211yescharacteristic
227D4×C22⋊C4C2212yes—
228D4×C22⋊C4C2211yescharacteristic
229D4×C22⋊C4C2214yes—
230D4×C22⋊C4C2211yescharacteristic
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2212yes—
233D4×C22⋊C4C2212yes—
234#2337C2214yescomplemented
235#2331C2212yescomplemented
236#2330C2212yescomplemented
237#2328C2212yescomplemented
238#2328C2214yescomplemented
239#2326C2212yescomplemented
240#2312C2212yes—
241#2309C2212yes—
242C4×#127C2212yescomplemented
243C4×#127C2212yescomplemented
244C4×#127C2212yescomplemented
245C4×#124C2212yescomplemented
246C4×#124C2212yescomplemented
247C4×#124C2212yescomplemented
248#2298C2212yescomplemented
249#2295C2212yescomplemented
250#2290C2212yes—
251#2290C2212yescomplemented
252#2285C2211yescharacteristic
253#2283C2211yescharacteristic
254#2273C2212yes—
255C42×D4C2212yes—
256C4×#117C2211yescharacteristic
257C4×#117C2212yescomplemented
258C2×#376C2211yescharacteristic
259C22×#41C2314yes—
260C23×Q8C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2314yes—
266C23×D4C2314yes—
267#546—416no—
268#542—48no—
269#540—48no—
270#532—48no—
271C2×C4⋊Q8C2312yes—
272C2×#127—28no—
273C2×#127—48no—
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2314yes—
282C2×#127C2314yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2314yes—
286#529—28no—
287#529—48no—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#125C2311yescharacteristic
292C2×#125C2312yes—
293C2×#124—28no—
294C2×#124—48no—
295C2×#124C2311yescharacteristic
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2311yescharacteristic
303C2×#124C2312yes—
304C2×#124C2314yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#124C2314yes—
312C2×#124C2314yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346#518—48no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387#400C2314yes—
388#400C2314yes—
389#399C2312yes—
390#399C2312yes—
391#399C2314yes—
392#399C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#397C2312yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2312yes—
458#393C2312yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2312yes—
469#392C2312yes—
470#392C2314yes—
471#392C2312yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2312yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2312yes—
486#392C2314yes—
487#392C2312yes—
488#392C2312yes—
489#392C2314yes—
490#392C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
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#386C2314yes—
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#385C2312yes—
642#385C2312yes—
643#385C2312yes—
644#385C2312yes—
645#384C2312yes—
646#384C2312yes—
647#383C2312yes—
648#382C2312yes—
649#382C2312yes—
650#382C2312yes—
651#381C2312yes—
652#381C2314yes—
653#381C2314yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2314yes—
658#380C2312yes—
659#380C2311yescharacteristic
660#380C2311yescharacteristic
661#380C2314yes—
662#380C2314yes—
663#379C2314yes—
664#379C2314yes—
665#379C2312yes—
666#379C2312yes—
667#379C2314yes—
668#379C2314yes—
669#379C2314yes—
670C4×C4⋊C4C2311yescharacteristic
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2311yescharacteristic
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C22⋊C4C2311yescharacteristic
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2311yescharacteristic
689C4×C22⋊C4C2311yescharacteristic
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2311yescharacteristic
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709#376C2312yes—
710#376C2312yes—
711#376C2312yes—
712#376C2311yescharacteristic
713#376C2311yescharacteristic
714#376C2312yes—
715#376C2312yes—
716#376C2311yescharacteristic
717#376C2311yescharacteristic
718C2×#95C2311yescharacteristic
719C2×#95C2312yes—
720C2×#95C2311yescharacteristic
721C43C2312yes—
722C43C2312yes—
723C25C2412yes—
724C25C2414yes—
725C2×#41—48no—
726C2×#41—48no—
727C2×#41—84no—
728C22×Q8—24no—
729C22×Q8—44no—
730C22×Q8C2411yescharacteristic
731C22×Q8C2411yescharacteristic
732C22×Q8C2411yescharacteristic
733C22×Q8C2414yes—
734C22×Q8C2412yes—
735C22×D4—28no—
736C22×D4—24no—
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—48no—
743C22×D4—48no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—48no—
748C22×D4—84no—
749C22×D4—84no—
750C22×D4—84no—
751C22×D4C2412yes—
752C22×D4C2411yescharacteristic
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2411yescharacteristic
794C4⋊Q8—28no—
795#127—24no—
796#127—24no—
797#127—28no—
798#127—28no—
799#127—28no—
800#127—28no—
801#127—28no—
802#127—44no—
803#127—44no—
804#127—48no—
805#127—48no—
806#127—84no—
807#126—28no—
808#126—48no—
809#126—48no—
810#125—24no—
811#125—28no—
812#124—24no—
813#124—24no—
814#124—24no—
815#124—24no—
816#124—28no—
817#124—28no—
818#124—24no—
819#124—28no—
820#124—28no—
821#124—48no—
822#124—48no—
823#124—48no—
824#124—44no—
825#124—44no—
826#124—48no—
827#124—48no—
828#124—84no—
829#124—84no—
830#123—28no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—84no—
838#123—84no—
839C22⋊Q8—24no—
840C22⋊Q8—48no—
841C22⋊Q8—48no—
842C22⋊Q8—44no—
843C22⋊Q8—44no—
844#121—24no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—48no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—84no—
858#121—84no—
859#121—84no—
860#120—48no—
861#120—48no—
862#120—48no—
863C4×Q8—24no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×D4—28no—
867C4×D4—28no—
868C4×D4—24no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—48no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—48no—
881C4×D4—48no—
882C4×D4—44no—
883C4×D4—84no—
884C4×D4—84no—
885C4×D4—84no—
886#117—24no—
887#117—28no—
888#117—28no—
889#117—48no—
890#117—42no—
891#117—44no—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C22⋊C4—28no—
926C2×C22⋊C4—28no—
927C2×C22⋊C4—216no—
928C2×C22⋊C4—28no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4—48no—
931C2×C22⋊C4—44no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C42—28no—
1006C2×C42—28no—
1007C2×C42#4118yescomplemented
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034#95C2411yescharacteristic
1035#95C2412yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2411yescharacteristic
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082C24—24no—
1083C24—28no—
1084C24—28no—
1085C24—24no—
1086C24—24no—
1087C24—28no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2514yes—
1097C24C2514yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100#41—832no—
1101C2×Q8—22no—
1102C2×Q8—22no—
1103C2×Q8—22no—
1104C2×Q8—24no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—28no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—42no—
1111C2×Q8—44no—
1112C2×Q8—88no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—22no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—432no—
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—44no—
1164C2×D4—44no—
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—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—88no—
1193C2×D4—816no—
1194C2×D4—816no—
1195C2×D4—832no—
1196C2×D4—832no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4C2×#4114yes—
1237C22×C4C2×#4114yes—
1238C22×C4C2×#4114yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
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—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—24no—
1301C22⋊C4—22no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
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—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4H(5,𝔽2)14yes—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—42no—
1378C42—42no—
1379C42—42no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42C2×#4114yes—
1389C42C2×#4114yes—
1390C42C2×#4114yes—
1391C42C2×#4114yes—
1392C42H(5,𝔽2)18yes—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—24no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—24no—
1407C23—22no—
1408C23—22no—
1409C23—24no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—22no—
1418C23—24no—
1419C23—24no—
1420C23—24no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—24no—
1426C23—416no—
1427C23—48no—
1428C23—84no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23—88no—
1435C23—84no—
1436C23—88no—
1437C23—88no—
1438C23C22×#4112yes—
1439C23C2×H(5,𝔽2)12yes—
1440C23#58512yes—
1441C23C2611yescharacteristic
1442Q8—44no—
1443Q8—44no—
1444Q8—82no—
1445Q8—84no—
1446Q8—88no—
1447D4—48no—
1448D4—48no—
1449D4—416no—
1450D4—48no—
1451D4—48no—
1452D4—416no—
1453D4—416no—
1454D4—48no—
1455D4—44no—
1456D4—44no—
1457D4—48no—
1458D4—48no—
1459D4—82no—
1460D4—84no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—88no—
1465D4—88no—
1466D4—88no—
1467D4—88no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471D4—88no—
1472D4—164no—
1473D4—164no—
1474D4—164no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—28no—
1489C2×C4—28no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—44no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—48no—
1534C2×C4—48no—
1535C2×C4—88no—
1536C2×C4—84no—
1537C2×C4—88no—
1538C2×C4—88no—
1539C2×C4—84no—
1540C2×C4—164no—
1541C2×C4—164no—
1542C2×C4—164no—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4112yes—
1549C2×C4C2×H(5,𝔽2)14yes—
1550C2×C4C2×H(5,𝔽2)14yes—
1551C2×C4C2×H(5,𝔽2)14yes—
1552C2×C4C2×H(5,𝔽2)14yes—
1553C22—22no—
1554C22—22no—
1555C22—24no—
1556C22—24no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—44no—
1561C22—44no—
1562C22—44no—
1563C22—44no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—44no—
1569C22—44no—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—44no—
1581C22—42no—
1582C22—44no—
1583C22—44no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—1616no—
1589C22—168no—
1590C22#346014yes—
1591C22C23×#4111yescharacteristic
1592C22C22×H(5,𝔽2)12yes—
1593C22C22×H(5,𝔽2)11yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)12yes—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—24no—
1600C4—24no—
1601C4—24no—
1602C4—22no—
1603C4—22no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4—44no—
1611C4—44no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4#350814yes—
1619C2—24no—
1620C2—82no—
1621C2—84no—
1622C2—84no—
1623C2—82no—
1624C2—82no—
1625C2C2×#346011yescharacteristic
1626C2C2×#350811yescharacteristic
1627C2#6285511yescharacteristic
1628C2#6291212yes—
1629C2#6292412yes—
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. #42058C2semidirect
2. #42057C2semidirect
3. #41962C2semidirect
4. #41021C2semidirect
5. #41009C2semidirect
6. #40542C2semidirect
7. #40540C2semidirect
8. #39810C2semidirect
9. #39808C2semidirect
10. #37775C2semidirect
11. #37772C2semidirect
12. #37696C2semidirect
13. #37694C2semidirect
14. #37614C2semidirect
15. #37587C2semidirect
16. #37587C2semidirect
17. #37546C2semidirect
18. #36121C2semidirect
19. #36111C2semidirect
20. #35695C2semidirect
21. #35694C2semidirect
22. #35681C2semidirect
23. #35304C2semidirect
24. #35276C2semidirect
25. #34624C2semidirect
26. C2×#2657C2semidirect
27. #34240C2semidirect
28. #34210C2semidirect
29. #34149C2semidirect
31. C2×#542C22semidirect
32. C2×#540C22semidirect
33. C2×#532C22semidirect
37. C2×#529C22semidirect
41. #2861C22semidirect
42. #2858C22semidirect
44. #2856C22semidirect
46. #2850C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2820C22semidirect
52. #2819C22semidirect
53. #2818C22semidirect
54. #2803C22semidirect
55. #2803C22semidirect
56. #2797C22semidirect
57. #2797C22semidirect
58. #2752C22semidirect
59. #2733C22semidirect
60. #2730C22semidirect
61. #2715C22semidirect
62. #2714C22semidirect
63. #2714C22semidirect
64. #2712C22semidirect
65. #2712C22semidirect
66. #2710C22semidirect
67. #2710C22semidirect
68. #2710C22semidirect
69. #2709C22semidirect
70. #2709C22semidirect
71. #2705C22semidirect
72. #2700C22semidirect
73. #2682C22semidirect
74. #2673C22semidirect
75. #2673C22semidirect
76. #2673C22semidirect
77. #2673C22semidirect
78. #2662C22semidirect
79. #2662C22semidirect
80. #2662C22semidirect
81. #2661C22semidirect
82. #2661C22semidirect
83. #2661C22semidirect
84. #2661C22semidirect
85. #2660C22semidirect
95. #2657C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2647C22semidirect
99. #2641C22semidirect
100. #2641C22semidirect
101. #2640C22semidirect
102. #2635C22semidirect
103. #2635C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
107. #2620C22semidirect
108. #2620C22semidirect
109. #2620C22semidirect
110. #2619C22semidirect
111. #2619C22semidirect
112. #2619C22semidirect
115. #2612C22semidirect
116. #2606C22semidirect
117. #2605C22semidirect
118. #2602C22semidirect
119. #2602C22semidirect
120. #2600C22semidirect
121. #2592C22semidirect
122. #2592C22semidirect
124. #2557C22semidirect
125. #2557C22semidirect
126. #2557C22semidirect
127. #2555C22semidirect
128. #2555C22semidirect
129. #2554C22semidirect
130. #2554C22semidirect
132. #2548C22semidirect
133. #2544C22semidirect
134. #2541C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2521C22semidirect
140. #2474C22semidirect
142. #2471C22semidirect
143. #2467C22semidirect
144. #2464C22semidirect
145. #2464C22semidirect
146. #2464C22semidirect
147. #2464C22semidirect
148. #2461C22semidirect
149. #2461C22semidirect
150. #2459C22semidirect
151. #2459C22semidirect
152. #2459C22semidirect
153. #2457C22semidirect
154. #2457C22semidirect
155. #2456C22semidirect
156. #2456C22semidirect
157. #2455C22semidirect
158. #2448C22semidirect
159. #2448C22semidirect
160. #2447C22semidirect
161. #2447C22semidirect
162. #2445C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2445C22semidirect
172. #2431C22semidirect
173. #2431C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
185. #2414C22semidirect
195. #2407C22semidirect
198. #2392C22semidirect
199. #2392C22semidirect
200. #2388C22semidirect
201. #2388C22semidirect
205. #2373C22semidirect
206. #2373C22semidirect
207. #2372C22semidirect
208. #2372C22semidirect
209. #2371C22semidirect
212. #2367C22semidirect
213. #2367C22semidirect
214. #2366C22semidirect
215. #2366C22semidirect
216. #2366C22semidirect
234. #2337C22semidirect
235. #2331C22semidirect
236. #2330C22semidirect
237. #2328C22semidirect
238. #2328C22semidirect
239. #2326C22semidirect
242. C4×#127C22semidirect
243. C4×#127C22semidirect
244. C4×#127C22semidirect
245. C4×#124C22semidirect
246. C4×#124C22semidirect
247. C4×#124C22semidirect
248. #2298C22semidirect
249. #2295C22semidirect
251. #2290C22semidirect
257. C4×#117C22semidirect
1007. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#420582
#420572
#419622
#410212
#410092
#405422
#405402
#398102
#398082
#377752
#377722
#376962
#376942
#376142
#375872
#375462
#361212
#361112
#356952
#356942
#356812
#353042
#352762
#346242
C2×#26572
#342402
#342102
#341492