Finite Group Databasebeta

← #8459271

Subgroups — #8459271

Order 512.

5411 conjugacy classes of subgroups.

The subgroup lattice has 1815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59420C211yesmaximal, characteristic, complemented
3#59418C211yesmaximal, characteristic, complemented
4#57344C214yesmaximal, complemented
5#53429C214yesmaximal, complemented
6#53399C214yesmaximal, complemented
7#53073C212yesmaximal, complemented
8#53000C212yesmaximal, complemented
9#48707C214yesmaximal, complemented
10#45708C212yesmaximal, complemented
11#45610C212yesmaximal, complemented
12#45069C212yesmaximal, complemented
13#45057C212yesmaximal, complemented
14#42683C212yesmaximal, complemented
15#42589C212yesmaximal, complemented
16#42576C212yesmaximal, complemented
17#42435C212yesmaximal, complemented
18#39888C212yesmaximal, complemented
19#39746C211yesmaximal, characteristic, complemented
20#39745C211yesmaximal, characteristic, complemented
21#39361C211yesmaximal, characteristic, complemented
22#39198C212yesmaximal, complemented
23#39174C211yesmaximal, characteristic, complemented
24#38056C212yesmaximal, complemented
25#37682C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37372C212yesmaximal, complemented
28#37290C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36260C211yesmaximal, characteristic, complemented
31#36125C211yesmaximal, characteristic, complemented
32#35197C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic, complemented
41C2×#547C2211yescharacteristic
42C2×#547C2212yescomplemented
43C2×#546C2212yes—
44C2×#546C2212yes—
45C2×D42C2211yescharacteristic
46C2×#535C2212yes—
47C2×#532C2212yes—
48#2867C2211yescharacteristic
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic, complemented
51#2856C2212yes—
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2850C2212yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2836C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2827C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2813C2214yescomplemented
64#2812C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2796C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2753C2214yescomplemented
72#2753C2214yescomplemented
73#2749C2214yescomplemented
74#2749C2214yescomplemented
75#2746C2214yescomplemented
76#2746C2214yescomplemented
77#2743C2214yescomplemented
78#2741C2214yescomplemented
79#2711C2214yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2710C2214yescomplemented
83#2708C2214yescomplemented
84#2708C2214yescomplemented
85#2707C2214yescomplemented
86#2706C2214yescomplemented
87#2706C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2703C2214yescomplemented
91#2701C2214yescomplemented
92#2699C2214yescomplemented
93#2697C2214yes—
94#2694C2214yescomplemented
95#2694C2214yescomplemented
96#2693C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2682C2214yescomplemented
100#2682C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2676C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2669C2214yes—
111#2669C2214yes—
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2658C2212yescomplemented
115#2657C2212yescomplemented
116#2654C2214yescomplemented
117#2648C2214yescomplemented
118#2648C2214yescomplemented
119#2647C2212yescomplemented
120#2644C2212yes—
121#2641C2212yes—
122#2635C2214yescomplemented
123#2630C2214yescomplemented
124#2625C2212yescomplemented
125#2623C2214yescomplemented
126#2622C2214yescomplemented
127#2621C2212yescomplemented
128#2619C2212yes—
129#2617C2214yescomplemented
130#2602C2214yescomplemented
131#2597C2212yescomplemented
132#2595C2212yescomplemented
133#2592C2211yescharacteristic
134#2580C2211yescharacteristic, complemented
135#2573C2212yescomplemented
136#2573C2212yescomplemented
137#2571C2211yescharacteristic, complemented
138#2571C2211yescharacteristic, complemented
139#2570C2211yescharacteristic, complemented
140#2568C2211yescharacteristic, complemented
141#2566C2212yescomplemented
142#2558C2214yescomplemented
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2548C2212yescomplemented
146#2548C2211yescharacteristic, complemented
147#2548C2212yescomplemented
148#2548C2212yescomplemented
149#2547C2211yescharacteristic
150#2547C2212yescomplemented
151#2546C2211yescharacteristic, complemented
152#2545C2212yescomplemented
153#2544C2211yescharacteristic
154#2544C2212yescomplemented
155#2544C2212yescomplemented
156#2544C2212yescomplemented
157#2542C2211yescharacteristic
158#2541C2212yes—
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2541C2212yescomplemented
162#2540C2212yes—
163#2540C2212yes—
164#2539C2214yes—
165#2539C2214yes—
166#2538C2211yescharacteristic
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic
169#2538C2211yescharacteristic, complemented
170#2537C2212yescomplemented
171#2534C2214yes—
172#2534C2214yescomplemented
173#2516C2212yescomplemented
174#2514C2211yescharacteristic, complemented
175#2514C2211yescharacteristic, complemented
176#2513C2212yes—
177#2513C2211yescharacteristic
178#2513C2212yescomplemented
179#2513C2212yescomplemented
180#2511C2211yescharacteristic, complemented
181#2507C2212yescomplemented
182#2501C2212yes—
183#2494C2212yescomplemented
184#2490C2212yescomplemented
185#2487C2214yescomplemented
186#2472C2214yescomplemented
187#2464C2214yescomplemented
188#2464C2214yescomplemented
189#2458C2212yescomplemented
190#2457C2214yescomplemented
191#2457C2214yescomplemented
192#2457C2214yescomplemented
193#2454C2212yescomplemented
194#2454C2212yescomplemented
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2447C2211yescharacteristic
198#2447C2211yescharacteristic
199#2447C2211yescharacteristic, complemented
200#2445C2212yes—
201#2445C2211yescharacteristic
202#2445C2212yes—
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2212yescomplemented
208#2445C2212yescomplemented
209#2443C2214yescomplemented
210#2443C2214yescomplemented
211#2442C2212yescomplemented
212#2435C2212yes—
213#2435C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2433C2212yes—
217#2433C2212yes—
218#2432C2212yes—
219#2432C2212yescomplemented
220#2432C2212yescomplemented
221#2432C2212yescomplemented
222#2431C2212yes—
223#2431C2212yes—
224#2431C2212yescomplemented
225#2431C2212yescomplemented
226#2429C2212yescomplemented
227#2429C2212yescomplemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2428C2212yescomplemented
234#2427C2212yes—
235#2427C2212yes—
236#2427C2212yescomplemented
237#2427C2212yescomplemented
238#2426C2212yescomplemented
239#2426C2212yescomplemented
240#2426C2212yescomplemented
241#2424C2214yescomplemented
242#2421C2212yescomplemented
243#2421C2212yescomplemented
244#2421C2212yescomplemented
245#2420C2212yes—
246#2420C2212yes—
247#2420C2212yescomplemented
248#2420C2212yescomplemented
249#2418C2214yescomplemented
250#2418C2214yescomplemented
251#2416C2214yescomplemented
252#2412C2214yescomplemented
253#2412C2214yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2401C2212yescomplemented
257#2401C2212yescomplemented
258#2398C2212yescomplemented
259#2395C2212yescomplemented
260#2377C2214yescomplemented
261#2366C2212yescomplemented
262#2366C2212yescomplemented
263#2361C2212yescomplemented
264#2361C2212yescomplemented
265#2360C2212yescomplemented
266D4×C4⋊C4C2212yescomplemented
267#2341C2212yes—
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270#2328C2212yes—
271#2328C2212yescomplemented
272#2328C2212yescomplemented
273#2326C2212yescomplemented
274#2326C2212yescomplemented
275#2321C2214yescomplemented
276#2319C2212yescomplemented
277#2319C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2212yescomplemented
288C4×#123C2212yescomplemented
289#2295C2211yescharacteristic, complemented
290#2295C2211yescharacteristic, complemented
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic
293C2×#390C2212yes—
294#2290C2212yescomplemented
295#2283C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—48no—
305#559—44no—
306#557—44no—
307#550—44no—
308#550—44no—
309#547—44no—
310#547—48no—
311#546—48no—
312#546—48no—
313D42—44no—
314#535—48no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2311yescharacteristic
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×#117C2312yes—
426C22×C4⋊C4C2314yes—
427C22×C4⋊C4C2312yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2312yes—
432C22×C42C2312yes—
433#401C2312yes—
434#401C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#400C2314yes—
447#400C2312yes—
448#399C2314yes—
449#399C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#393C2312yes—
538#393C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#383C2312yes—
747#383C2312yes—
748#382C2311yescharacteristic
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#382C2312yes—
756#381C2312yes—
757#381C2312yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×D4—28no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C4⋊Q8—24no—
883C4⋊Q8—24no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886#127—28no—
887#127—24no—
888#127—24no—
889#127—44no—
890#127—42no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—82no—
899#125—44no—
900#125—48no—
901#124—24no—
902#124—24no—
903#124—28no—
904#124—44no—
905#124—42no—
906#124—42no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—48no—
914#123—44no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—84no—
924#123—84no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—48no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—84no—
952#121—84no—
953#120—48no—
954#120—48no—
955#120—48no—
956#120—48no—
957#120—48no—
958#120—48no—
959#120—84no—
960C4×Q8—24no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—42no—
965C4×Q8—42no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×Q8—44no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—28no—
974C4×D4—24no—
975C4×D4—28no—
976C4×D4—44no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—42no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—48no—
987C4×D4—48no—
988C4×D4—48no—
989C4×D4—82no—
990C4×D4—82no—
991#117—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—48no—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4—84no—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C42—44no—
1124C2×C42—44no—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—28no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24C2512yes—
1225C24C2514yes—
1226C24C2514yes—
1227C24C2512yes—
1228C24C2512yes—
1229#41—816no—
1230#41—816no—
1231#41—816no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—41no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—28no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—28no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—816no—
1325C2×D4—816no—
1326C2×D4H(5,𝔽2)14yes—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
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—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C42—22no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—24no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—44no—
1544C42—41no—
1545C42—41no—
1546C42—41no—
1547C42—41no—
1548C42—44no—
1549C42—41no—
1550C42H(5,𝔽2)14yes—
1551C42H(5,𝔽2)14yes—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—24no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—24no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—164no—
1592C23—164no—
1593C23C2×H(5,𝔽2)14yes—
1594C23C2611yescharacteristic
1595Q8—44no—
1596Q8—48no—
1597Q8—44no—
1598Q8—44no—
1599Q8—44no—
1600D4—28no—
1601D4—48no—
1602D4—48no—
1603D4—44no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—88no—
1608D4—84no—
1609D4—84no—
1610D4—84no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—84no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—164no—
1620D4—164no—
1621D4—164no—
1622D4—164no—
1623D4—164no—
1624D4—164no—
1625D4—164no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4—84no—
1712C2×C4—88no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—164no—
1718C2×C4—164no—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4#58512yes—
1727C2×C4#58512yes—
1728C2×C4#58512yes—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—44no—
1746C22—42no—
1747C22—44no—
1748C22—44no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22—44no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—1616no—
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C22×H(5,𝔽2)11yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22C2×#58511yescharacteristic
1770C22C2×#58511yescharacteristic
1771C22H(7,𝔽2)11yescharacteristic
1772C4—22no—
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—44no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—44no—
1795C4—41no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4#354314yes—
1801C4#356214yes—
1802C2—44no—
1803C2—82no—
1804C2—84no—
1805C2—84no—
1806C2—82no—
1807C2C2×#356211yescharacteristic
1808C2C2×#354311yescharacteristic
1809C2#6283011yescharacteristic
1810C2#6292011yescharacteristic
1811C2#6295511yescharacteristic
1812C2#6296111yescharacteristic
1813C2#6302111yescharacteristic
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. #59815C2semidirect
2. #59420C2semidirect
3. #59418C2semidirect
4. #57344C2semidirect
5. #53429C2semidirect
6. #53399C2semidirect
7. #53073C2semidirect
8. #53000C2semidirect
9. #48707C2semidirect
10. #45708C2semidirect
11. #45610C2semidirect
12. #45069C2semidirect
13. #45057C2semidirect
14. #42683C2semidirect
15. #42589C2semidirect
16. #42576C2semidirect
17. #42435C2semidirect
18. #39888C2semidirect
19. #39746C2semidirect
20. #39745C2semidirect
21. #39361C2semidirect
22. #39198C2semidirect
23. #39174C2semidirect
24. #38056C2semidirect
25. #37682C2semidirect
26. #37628C2semidirect
27. #37372C2semidirect
28. #37290C2semidirect
29. #36595C2semidirect
30. #36260C2semidirect
31. #36125C2semidirect
32. #35197C2semidirect
33. #35197C2semidirect
34. #34945C2semidirect
35. #34918C2semidirect
37. C2×#559C22semidirect
38. C2×#557C22semidirect
40. C2×#550C22semidirect
42. C2×#547C22semidirect
50. #2858C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
57. #2836C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2827C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2813C22semidirect
64. #2812C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2796C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2753C22semidirect
72. #2753C22semidirect
73. #2749C22semidirect
74. #2749C22semidirect
75. #2746C22semidirect
76. #2746C22semidirect
77. #2743C22semidirect
78. #2741C22semidirect
79. #2711C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2710C22semidirect
83. #2708C22semidirect
84. #2708C22semidirect
85. #2707C22semidirect
86. #2706C22semidirect
87. #2706C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2703C22semidirect
91. #2701C22semidirect
92. #2699C22semidirect
94. #2694C22semidirect
95. #2694C22semidirect
96. #2693C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2682C22semidirect
100. #2682C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2676C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2658C22semidirect
115. #2657C22semidirect
116. #2654C22semidirect
117. #2648C22semidirect
118. #2648C22semidirect
119. #2647C22semidirect
122. #2635C22semidirect
123. #2630C22semidirect
124. #2625C22semidirect
125. #2623C22semidirect
126. #2622C22semidirect
127. #2621C22semidirect
129. #2617C22semidirect
130. #2602C22semidirect
131. #2597C22semidirect
132. #2595C22semidirect
134. #2580C22semidirect
135. #2573C22semidirect
136. #2573C22semidirect
137. #2571C22semidirect
138. #2571C22semidirect
139. #2570C22semidirect
140. #2568C22semidirect
141. #2566C22semidirect
142. #2558C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
150. #2547C22semidirect
151. #2546C22semidirect
152. #2545C22semidirect
154. #2544C22semidirect
155. #2544C22semidirect
156. #2544C22semidirect
161. #2541C22semidirect
169. #2538C22semidirect
170. #2537C22semidirect
172. #2534C22semidirect
173. #2516C22semidirect
174. #2514C22semidirect
175. #2514C22semidirect
178. #2513C22semidirect
179. #2513C22semidirect
180. #2511C22semidirect
181. #2507C22semidirect
183. #2494C22semidirect
184. #2490C22semidirect
185. #2487C22semidirect
186. #2472C22semidirect
187. #2464C22semidirect
188. #2464C22semidirect
189. #2458C22semidirect
190. #2457C22semidirect
191. #2457C22semidirect
192. #2457C22semidirect
193. #2454C22semidirect
194. #2454C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
199. #2447C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
209. #2443C22semidirect
210. #2443C22semidirect
211. #2442C22semidirect
219. #2432C22semidirect
220. #2432C22semidirect
221. #2432C22semidirect
224. #2431C22semidirect
225. #2431C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
236. #2427C22semidirect
237. #2427C22semidirect
238. #2426C22semidirect
239. #2426C22semidirect
240. #2426C22semidirect
241. #2424C22semidirect
242. #2421C22semidirect
243. #2421C22semidirect
244. #2421C22semidirect
247. #2420C22semidirect
248. #2420C22semidirect
249. #2418C22semidirect
250. #2418C22semidirect
251. #2416C22semidirect
252. #2412C22semidirect
253. #2412C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2401C22semidirect
257. #2401C22semidirect
258. #2398C22semidirect
259. #2395C22semidirect
260. #2377C22semidirect
261. #2366C22semidirect
262. #2366C22semidirect
263. #2361C22semidirect
264. #2361C22semidirect
265. #2360C22semidirect
266. D4×C4⋊C4C22semidirect
271. #2328C22semidirect
272. #2328C22semidirect
273. #2326C22semidirect
274. #2326C22semidirect
275. #2321C22semidirect
276. #2319C22semidirect
277. #2319C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
286. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×#123C22semidirect
289. #2295C22semidirect
290. #2295C22semidirect
291. #2295C22semidirect
294. #2290C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#594202
#594182
#573442
#534292
#533992
#530732
#530002
#487072
#457082
#456102
#450692
#450572
#426832
#425892
#425762
#424352
#398882
#397462
#397452
#393612
#391982
#391742
#380562
#376822
#376282
#373722
#372902
#365952
#362602
#361252
#351972
#349452
#349182