Finite Group Databasebeta

← #8372195

Subgroups — #8372195

Order 512.

5679 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59131C212yesmaximal, complemented
2#57643C214yesmaximal, complemented
3#56339C214yesmaximal, complemented
4#55042C214yesmaximal, complemented
5#53512C214yesmaximal, complemented
6#53151C212yesmaximal, complemented
7#48487C214yesmaximal, complemented
8#48149C214yesmaximal, complemented
9#45642C212yesmaximal, complemented
10#45355C211yesmaximal, characteristic, complemented
11#45267C211yesmaximal, characteristic, complemented
12#45200C211yesmaximal, characteristic, complemented
13#45070C211yesmaximal, characteristic, complemented
14#44877C212yesmaximal, complemented
15#42979C212yesmaximal, complemented
16#42788C211yesmaximal, characteristic, complemented
17#42642C212yesmaximal, complemented
18#42426C211yesmaximal, characteristic, complemented
19#40866C214yesmaximal, complemented
20#40640C214yesmaximal, complemented
21#40145C212yesmaximal, complemented
22#39362C211yesmaximal, characteristic, complemented
23#39187C211yesmaximal, characteristic, complemented
24#38906C212yesmaximal, complemented
25#37432C211yesmaximal, characteristic, complemented
26#36498C211yesmaximal, characteristic, complemented
27D4×#124C211yesmaximal, characteristic, complemented
28#36009C211yesmaximal, characteristic, complemented
29#35691C211yesmaximal, characteristic, complemented
30#35536C211yesmaximal, characteristic, complemented
31#34597C211yesmaximal, characteristic, complemented
32C2×D4×Q8C2211yescharacteristic, complemented
33C2×#548C2212yescomplemented
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2212yescomplemented
36C2×D42C2211yescharacteristic
37C2×D42C2212yes—
38C2×D42C2211yescharacteristic, complemented
39C2×D42C2212yescomplemented
40C2×#542C2211yescharacteristic, complemented
41C2×#535C2212yescomplemented
42C22×#124C2212yescomplemented
43C2×#518C2211yescharacteristic, complemented
44#2864C2211yescharacteristic, complemented
45#2858C2211yescharacteristic, complemented
46#2854C2212yescomplemented
47#2850C2212yescomplemented
48#2838C2214yescomplemented
49#2830C2214yescomplemented
50#2826C2214yescomplemented
51#2825C2214yescomplemented
52#2825C2214yescomplemented
53#2824C2214yescomplemented
54#2821C2212yescomplemented
55#2816C2212yescomplemented
56#2816C2214yescomplemented
57#2803C2214yescomplemented
58#2801C2214yescomplemented
59#2797C2214yescomplemented
60#2797C2214yescomplemented
61#2797C2214yescomplemented
62#2787C2214yescomplemented
63#2786C2214yescomplemented
64#2780C2214yescomplemented
65#2778C2214yescomplemented
66#2760C2214yescomplemented
67#2752C2214yescomplemented
68#2751C2214yescomplemented
69#2749C2214yescomplemented
70#2749C2214yescomplemented
71#2746C2214yescomplemented
72#2741C2214yescomplemented
73#2740C2214yescomplemented
74#2737C2214yescomplemented
75#2735C2214yescomplemented
76#2735C2214yescomplemented
77#2730C2214yescomplemented
78#2705C2214yescomplemented
79#2703C2214yescomplemented
80#2702C2214yescomplemented
81#2696C2214yescomplemented
82#2692C2214yescomplemented
83#2691C2214yescomplemented
84#2686C2214yescomplemented
85#2686C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2684C2214yescomplemented
90#2684C2214yescomplemented
91#2684C2214yescomplemented
92#2684C2214yescomplemented
93#2679C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2676C2214yescomplemented
99#2674C2214yescomplemented
100#2672C2214yescomplemented
101#2671C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2668C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2214yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2667C2212yescomplemented
110#2661C2212yescomplemented
111#2661C2212yescomplemented
112#2654C2212yescomplemented
113#2651C2212yescomplemented
114#2649C2214yescomplemented
115#2649C2212yescomplemented
116#2648C2212yescomplemented
117#2640C2212yescomplemented
118#2639C2214yescomplemented
119#2635C2214yescomplemented
120#2635C2212yescomplemented
121#2631C2214yescomplemented
122#2631C2212yescomplemented
123#2630C2212yescomplemented
124#2626C2214yescomplemented
125#2625C2212yescomplemented
126#2622C2214yescomplemented
127#2621C2211yescharacteristic, complemented
128#2620C2212yescomplemented
129#2619C2211yescharacteristic
130#2617C2212yescomplemented
131#2617C2212yescomplemented
132#2613C2212yescomplemented
133#2603C2214yescomplemented
134#2603C2212yescomplemented
135#2597C2214yescomplemented
136#2578C2214yescomplemented
137#2563C2211yescharacteristic, complemented
138#2555C2214yescomplemented
139#2548C2211yescharacteristic, complemented
140#2547C2211yescharacteristic, complemented
141#2547C2211yescharacteristic, complemented
142#2544C2212yes—
143#2544C2211yescharacteristic
144#2544C2212yescomplemented
145#2544C2211yescharacteristic, complemented
146#2543C2212yescomplemented
147#2543C2212yescomplemented
148#2543C2214yescomplemented
149#2542C2211yescharacteristic, complemented
150#2541C2211yescharacteristic
151#2540C2212yescomplemented
152#2540C2212yescomplemented
153#2538C2212yescomplemented
154#2536C2211yescharacteristic, complemented
155#2535C2211yescharacteristic
156#2535C2211yescharacteristic, complemented
157#2535C2212yescomplemented
158#2535C2211yescharacteristic, complemented
159#2531C2214yescomplemented
160#2514C2212yescomplemented
161#2512C2212yescomplemented
162#2510C2214yescomplemented
163#2510C2214yescomplemented
164#2510C2214yescomplemented
165#2500C2211yescharacteristic, complemented
166#2499C2211yescharacteristic, complemented
167#2497C2212yescomplemented
168#2494C2212yescomplemented
169#2492C2212yescomplemented
170#2491C2214yescomplemented
171#2491C2212yescomplemented
172#2486C2212yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2467C2214yescomplemented
179#2463C2214yescomplemented
180#2459C2214yescomplemented
181#2457C2214yescomplemented
182#2456C2214yescomplemented
183#2456C2214yescomplemented
184#2449C2214yescomplemented
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2447C2212yescomplemented
188#2447C2212yescomplemented
189#2444C2214yescomplemented
190#2436C2212yescomplemented
191#2436C2212yescomplemented
192#2435C2212yescomplemented
193#2435C2212yescomplemented
194#2435C2212yescomplemented
195#2435C2212yescomplemented
196#2435C2211yescharacteristic, complemented
197#2433C2211yescharacteristic
198#2431C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2427C2212yescomplemented
202#2427C2212yescomplemented
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2425C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2416C2214yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2412C2214yescomplemented
215#2412C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2409C2212yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2408C2214yescomplemented
223#2408C2214yescomplemented
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2408C2212yescomplemented
227#2407C2212yescomplemented
228#2405C2214yescomplemented
229#2403C2214yescomplemented
230#2403C2214yescomplemented
231#2403C2214yescomplemented
232#2402C2211yescharacteristic, complemented
233#2397C2211yescharacteristic, complemented
234#2395C2212yescomplemented
235#2392C2211yescharacteristic, complemented
236#2392C2212yescomplemented
237#2392C2211yescharacteristic, complemented
238C2×#397C2212yescomplemented
239C2×#392C2212yescomplemented
240#2375C2214yescomplemented
241#2367C2212yescomplemented
242#2366C2212yescomplemented
243#2364C2214yescomplemented
244#2357C2211yescharacteristic, complemented
245#2356C2211yescharacteristic, complemented
246#2349C2211yescharacteristic, complemented
247#2349C2211yescharacteristic, complemented
248#2339C2212yescomplemented
249D4×C22⋊C4C2214yescomplemented
250D4×C22⋊C4C2212yescomplemented
251D4×C22⋊C4C2214yescomplemented
252#2328C2211yescharacteristic
253#2328C2211yescharacteristic, complemented
254#2327C2211yescharacteristic, complemented
255#2326C2211yescharacteristic, complemented
256#2325C2214yescomplemented
257#2324C2212yescomplemented
258#2308C2214yescomplemented
259C4×#127C2211yescharacteristic, complemented
260C4×#124C2211yescharacteristic, complemented
261C4×#123C2212yescomplemented
262C4×#121C2212yescomplemented
263C4×#121C2212yescomplemented
264#2298C2211yescharacteristic, complemented
265#2293C2211yescharacteristic, complemented
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C23×Q8C2312yes—
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2312yes—
272C23×D4C2312yes—
273C23×D4C2314yes—
274C23×D4C2314yes—
275C23×D4C2312yes—
276D4×Q8—44no—
277#548—48no—
278#547—44no—
279#546—48no—
280D42—44no—
281D42—44no—
282D42—48no—
283D42—48no—
284#542—44no—
285#535—48no—
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2312yes—
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#127C2312yes—
293C2×#126C2312yes—
294C2×#126C2314yes—
295C2×#124—48no—
296C2×#124C2311yescharacteristic
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2311yescharacteristic
308C2×#124C2314yes—
309C2×#123C2312yes—
310C2×#123C2312yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356#518—44no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2314yes—
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2312yes—
408#399C2312yes—
409#398C2311yescharacteristic
410#398C2312yes—
411#398C2314yes—
412#398C2312yes—
413#398C2311yescharacteristic
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2311yescharacteristic
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2311yescharacteristic
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2311yescharacteristic
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2311yescharacteristic
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2312yes—
525#392C2311yescharacteristic
526#392C2312yes—
527#392C2312yes—
528#392C2312yes—
529#392C2312yes—
530#392C2311yescharacteristic
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2314yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#383C2312yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#381C2314yes—
691#381C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#379C2314yes—
709#379C2314yes—
710#379C2314yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717#379C2314yes—
718#379C2314yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2311yescharacteristic
739C4×C22⋊C4C2312yes—
740#376C2311yescharacteristic
741#376C2312yes—
742C2×#95C2314yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C43C2311yescharacteristic
746C25C2412yes—
747C25C2414yes—
748C25C2414yes—
749C2×#41—28no—
750C2×#41—44no—
751C2×#41—44no—
752C22×Q8—44no—
753C22×Q8—44no—
754C22×Q8—44no—
755C22×Q8C2411yescharacteristic
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×Q8C2414yes—
759C22×D4—24no—
760C22×D4—24no—
761C22×D4—28no—
762C22×D4—42no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—48no—
771C22×D4—48no—
772C22×D4—48no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—84no—
776C22×D4—84no—
777C22×D4—84no—
778C22×D4C2411yescharacteristic
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2411yescharacteristic
784C22×D4C2411yescharacteristic
785C22×D4C2412yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2411yescharacteristic
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C23×C4C2411yescharacteristic
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2414yes—
816C23×C4C2414yes—
817C23×C4C2412yes—
818C23×C4C2414yes—
819C23×C4C2414yes—
820C4⋊Q8—24no—
821C4⋊Q8—42no—
822C4⋊Q8—44no—
823#127—24no—
824#127—28no—
825#127—24no—
826#127—24no—
827#126—44no—
828#126—84no—
829#124—24no—
830#124—28no—
831#124—24no—
832#124—44no—
833#124—44no—
834#124—44no—
835#124—44no—
836#124—44no—
837#124—42no—
838#124—48no—
839#124—48no—
840#124—48no—
841#124—84no—
842#123—48no—
843#123—48no—
844#123—44no—
845#123—44no—
846#123—84no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—44no—
850C22⋊Q8—42no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—84no—
856#121—28no—
857#121—28no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—42no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—48no—
874#121—48no—
875#121—84no—
876#120—48no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—84no—
887#120—84no—
888#120—84no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—84no—
911C4×D4—84no—
912C4×D4—84no—
913#117—24no—
914#117—44no—
915#117—42no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—48no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—84no—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—44no—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110C24—24no—
1111C24—28no—
1112C24—24no—
1113C24—28no—
1114C24—42no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24C2511yescharacteristic
1130C24C2512yes—
1131C24C2512yes—
1132C24C2514yes—
1133C24C2512yes—
1134C24C2512yes—
1135C24C2512yes—
1136#41—816no—
1137C2×Q8—22no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—42no—
1147C2×Q8—44no—
1148C2×Q8—816no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—416no—
1224C2×D4—816no—
1225C2×D4—816no—
1226C2×D4—816no—
1227C2×D4—832no—
1228C2×D4—832no—
1229C2×D4—816no—
1230C2×D4H(5,𝔽2)14yes—
1231C2×D4H(5,𝔽2)14yes—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C42—22no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42H(5,𝔽2)14yes—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—24no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—21no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—24no—
1464C23—24no—
1465C23—22no—
1466C23—24no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—48no—
1471C23—416no—
1472C23—88no—
1473C23—88no—
1474C23—88no—
1475C23—88no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—88no—
1481C23—162no—
1482C23—162no—
1483C23—164no—
1484C23—164no—
1485C23—164no—
1486C23—164no—
1487C23—164no—
1488C23—164no—
1489C23C2×H(5,𝔽2)14yes—
1490C23C2×H(5,𝔽2)14yes—
1491C23#58514yes—
1492C23C2611yescharacteristic
1493Q8—44no—
1494Q8—48no—
1495Q8—88no—
1496Q8—162no—
1497D4—28no—
1498D4—28no—
1499D4—28no—
1500D4—44no—
1501D4—48no—
1502D4—416no—
1503D4—48no—
1504D4—48no—
1505D4—44no—
1506D4—48no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—84no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—162no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—162no—
1596C2×C4—162no—
1597C2×C4—164no—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—28no—
1608C22—24no—
1609C22—28no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—44no—
1618C22—44no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—41no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—42no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—42no—
1641C22—44no—
1642C22—44no—
1643C22—42no—
1644C22—168no—
1645C22—1616no—
1646C22—1616no—
1647C22C22×H(5,𝔽2)11yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C2×#58512yes—
1651C22H(7,𝔽2)12yes—
1652C4—22no—
1653C4—22no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4#353714yes—
1676C2—44no—
1677C2—44no—
1678C2—44no—
1679C2—82no—
1680C2—81no—
1681C2—84no—
1682C2—82no—
1683C2C2×#353711yescharacteristic
1684C2#6282411yescharacteristic
1685C2#6287611yescharacteristic
1686C2#6289612yes—
1687C2#6291812yes—
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. #59131C2semidirect
2. #57643C2semidirect
3. #56339C2semidirect
4. #55042C2semidirect
5. #53512C2semidirect
6. #53151C2semidirect
7. #48487C2semidirect
8. #48149C2semidirect
9. #45642C2semidirect
10. #45355C2semidirect
11. #45267C2semidirect
12. #45200C2semidirect
13. #45070C2semidirect
14. #44877C2semidirect
15. #42979C2semidirect
16. #42788C2semidirect
17. #42642C2semidirect
18. #42426C2semidirect
19. #40866C2semidirect
20. #40640C2semidirect
21. #40145C2semidirect
22. #39362C2semidirect
23. #39187C2semidirect
24. #38906C2semidirect
25. #37432C2semidirect
26. #36498C2semidirect
27. D4×#124C2semidirect
28. #36009C2semidirect
29. #35691C2semidirect
30. #35536C2semidirect
31. #34597C2semidirect
32. C2×D4×Q8C22semidirect
33. C2×#548C22semidirect
34. C2×#547C22semidirect
35. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
40. C2×#542C22semidirect
41. C2×#535C22semidirect
42. C22×#124C22semidirect
43. C2×#518C22semidirect
44. #2864C22semidirect
45. #2858C22semidirect
46. #2854C22semidirect
47. #2850C22semidirect
48. #2838C22semidirect
49. #2830C22semidirect
50. #2826C22semidirect
51. #2825C22semidirect
52. #2825C22semidirect
53. #2824C22semidirect
54. #2821C22semidirect
55. #2816C22semidirect
56. #2816C22semidirect
57. #2803C22semidirect
58. #2801C22semidirect
59. #2797C22semidirect
60. #2797C22semidirect
61. #2797C22semidirect
62. #2787C22semidirect
63. #2786C22semidirect
64. #2780C22semidirect
65. #2778C22semidirect
66. #2760C22semidirect
67. #2752C22semidirect
68. #2751C22semidirect
69. #2749C22semidirect
70. #2749C22semidirect
71. #2746C22semidirect
72. #2741C22semidirect
73. #2740C22semidirect
74. #2737C22semidirect
75. #2735C22semidirect
76. #2735C22semidirect
77. #2730C22semidirect
78. #2705C22semidirect
79. #2703C22semidirect
80. #2702C22semidirect
81. #2696C22semidirect
82. #2692C22semidirect
83. #2691C22semidirect
84. #2686C22semidirect
85. #2686C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2684C22semidirect
90. #2684C22semidirect
91. #2684C22semidirect
92. #2684C22semidirect
93. #2679C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2676C22semidirect
99. #2674C22semidirect
100. #2672C22semidirect
101. #2671C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2668C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2667C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2654C22semidirect
113. #2651C22semidirect
114. #2649C22semidirect
115. #2649C22semidirect
116. #2648C22semidirect
117. #2640C22semidirect
118. #2639C22semidirect
119. #2635C22semidirect
120. #2635C22semidirect
121. #2631C22semidirect
122. #2631C22semidirect
123. #2630C22semidirect
124. #2626C22semidirect
125. #2625C22semidirect
126. #2622C22semidirect
127. #2621C22semidirect
128. #2620C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2613C22semidirect
133. #2603C22semidirect
134. #2603C22semidirect
135. #2597C22semidirect
136. #2578C22semidirect
137. #2563C22semidirect
138. #2555C22semidirect
139. #2548C22semidirect
140. #2547C22semidirect
141. #2547C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2543C22semidirect
147. #2543C22semidirect
148. #2543C22semidirect
149. #2542C22semidirect
151. #2540C22semidirect
152. #2540C22semidirect
153. #2538C22semidirect
154. #2536C22semidirect
156. #2535C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
159. #2531C22semidirect
160. #2514C22semidirect
161. #2512C22semidirect
162. #2510C22semidirect
163. #2510C22semidirect
164. #2510C22semidirect
165. #2500C22semidirect
166. #2499C22semidirect
167. #2497C22semidirect
168. #2494C22semidirect
169. #2492C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2486C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2467C22semidirect
179. #2463C22semidirect
180. #2459C22semidirect
181. #2457C22semidirect
182. #2456C22semidirect
183. #2456C22semidirect
184. #2449C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2447C22semidirect
189. #2444C22semidirect
190. #2436C22semidirect
191. #2436C22semidirect
192. #2435C22semidirect
193. #2435C22semidirect
194. #2435C22semidirect
195. #2435C22semidirect
196. #2435C22semidirect
198. #2431C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2427C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
205. #2425C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2407C22semidirect
228. #2405C22semidirect
229. #2403C22semidirect
230. #2403C22semidirect
231. #2403C22semidirect
232. #2402C22semidirect
233. #2397C22semidirect
234. #2395C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. C2×#397C22semidirect
239. C2×#392C22semidirect
240. #2375C22semidirect
241. #2367C22semidirect
242. #2366C22semidirect
243. #2364C22semidirect
244. #2357C22semidirect
245. #2356C22semidirect
246. #2349C22semidirect
247. #2349C22semidirect
248. #2339C22semidirect
249. D4×C22⋊C4C22semidirect
250. D4×C22⋊C4C22semidirect
251. D4×C22⋊C4C22semidirect
253. #2328C22semidirect
254. #2327C22semidirect
255. #2326C22semidirect
256. #2325C22semidirect
257. #2324C22semidirect
258. #2308C22semidirect
259. C4×#127C22semidirect
260. C4×#124C22semidirect
261. C4×#123C22semidirect
262. C4×#121C22semidirect
263. C4×#121C22semidirect
264. #2298C22semidirect
265. #2293C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#591312
#576432
#563392
#550422
#535122
#531512
#484872
#481492
#456422
#453552
#452672
#452002
#450702
#448772
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