Finite Group Databasebeta

← #8096712

Subgroups — #8096712

Order 512.

6232 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53129C212yesmaximal, complemented
2#53103C211yesmaximal, characteristic, complemented
3#53043C212yesmaximal, complemented
4#53018C211yesmaximal, characteristic, complemented
5#52742C212yesmaximal, complemented
6#52586C212yesmaximal, complemented
7#52471C214yesmaximal, complemented
8#52347C214yesmaximal, complemented
9#52292C211yesmaximal, characteristic, complemented
10C2×#2735C212yesmaximal, complemented
11#45701C212yesmaximal, complemented
12#45697C212yesmaximal, complemented
13#45642C212yesmaximal, complemented
14#45624C212yesmaximal, complemented
15#45622C211yesmaximal, characteristic, complemented
16#45588C214yesmaximal, complemented
17#45588C214yesmaximal, complemented
18#45578C214yesmaximal, complemented
19#45457C212yesmaximal, complemented
20#45457C214yesmaximal, complemented
21#36218C212yesmaximal, complemented
22#36218C212yesmaximal, complemented
23#36216C212yesmaximal, complemented
24#36152C212yesmaximal, complemented
25#36152C211yesmaximal, characteristic, complemented
26#36060C211yesmaximal, characteristic, complemented
27#35976C211yesmaximal, characteristic, complemented
28#35873C212yesmaximal, complemented
29#35821C212yesmaximal, complemented
30C24×D4C2211yescharacteristic
31C2×#547C2211yescharacteristic, complemented
32C2×#547C2212yescomplemented
33C2×#546C2212yes—
34C2×#546C2212yes—
35C2×#546C2212yes—
36C2×#546C2212yes—
37C2×#546C2211yescharacteristic
38C2×#520C2211yescharacteristic, complemented
39C2×C4×#41C2212yescomplemented
40#2854C2214yescomplemented
41#2854C2214yescomplemented
42#2854C2212yescomplemented
43#2853C2214yescomplemented
44#2850C2212yescomplemented
45#2850C2212yescomplemented
46#2848C2212yes—
47#2848C2211yescharacteristic
48#2846C2214yes—
49#2846C2212yes—
50#2842C2214yescomplemented
51#2842C2212yescomplemented
52#2837C2214yescomplemented
53#2837C2214yescomplemented
54#2837C2214yescomplemented
55#2837C2214yescomplemented
56#2837C2214yescomplemented
57#2834C2212yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2827C2214yescomplemented
63#2826C2214yescomplemented
64#2825C2214yescomplemented
65#2823C2212yescomplemented
66#2815C2212yescomplemented
67#2812C2212yescomplemented
68#2812C2214yescomplemented
69#2807C2211yescharacteristic, complemented
70#2807C2214yescomplemented
71#2803C2214yescomplemented
72#2803C2214yescomplemented
73#2801C2214yescomplemented
74#2801C2214yescomplemented
75#2796C2212yescomplemented
76#2796C2214yescomplemented
77#2795C2212yescomplemented
78#2795C2214yescomplemented
79#2795C2214yescomplemented
80#2790C2214yescomplemented
81#2790C2214yescomplemented
82#2780C2212yescomplemented
83#2778C2212yescomplemented
84#2757C2214yescomplemented
85#2756C2214yescomplemented
86#2756C2214yescomplemented
87#2752C2212yescomplemented
88#2752C2214yescomplemented
89#2746C2212yescomplemented
90#2746C2214yescomplemented
91#2735C2212yes—
92#2735C2214yes—
93#2735C2211yescharacteristic
94#2735C2214yescomplemented
95#2735C2214yescomplemented
96#2735C2214yescomplemented
97#2735C2214yescomplemented
98#2735C2214yescomplemented
99#2735C2214yescomplemented
100#2735C2212yescomplemented
101#2735C2214yescomplemented
102#2735C2214yescomplemented
103#2735C2212yescomplemented
104#2705C2214yescomplemented
105#2703C2214yescomplemented
106#2697C2212yes—
107#2697C2214yescomplemented
108#2697C2214yescomplemented
109#2693C2211yescharacteristic, complemented
110#2688C2212yescomplemented
111#2685C2214yes—
112#2685C2214yescomplemented
113#2685C2214yescomplemented
114#2685C2214yescomplemented
115#2685C2214yescomplemented
116#2678C2212yes—
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2668C2211yescharacteristic
120#2668C2214yescomplemented
121#2658C2211yescharacteristic, complemented
122#2656C2212yescomplemented
123#2644C2212yescomplemented
124#2643C2214yescomplemented
125#2624C2211yescharacteristic, complemented
126#2623C2212yescomplemented
127#2620C2212yescomplemented
128#2618C2214yescomplemented
129#2545C2212yescomplemented
130#2545C2212yescomplemented
131#2545C2212yescomplemented
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2211yescharacteristic, complemented
135#2542C2212yescomplemented
136#2540C2211yescharacteristic, complemented
137#2540C2212yescomplemented
138#2539C2214yescomplemented
139#2539C2212yescomplemented
140#2538C2212yescomplemented
141#2536C2212yescomplemented
142#2536C2212yescomplemented
143#2534C2214yescomplemented
144#2534C2214yescomplemented
145#2534C2214yescomplemented
146#2513C2212yescomplemented
147#2513C2212yescomplemented
148#2512C2212yescomplemented
149#2510C2214yescomplemented
150#2510C2214yescomplemented
151#2504C2211yescharacteristic, complemented
152#2501C2212yescomplemented
153#2501C2214yescomplemented
154#2500C2212yescomplemented
155#2498C2212yescomplemented
156#2498C2214yescomplemented
157#2496C2212yescomplemented
158#2495C2212yescomplemented
159#2494C2212yescomplemented
160#2486C2211yescharacteristic, complemented
161#2485C2212yescomplemented
162#2482C2214yescomplemented
163#2482C2212yescomplemented
164#2481C2214yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2448C2212yescomplemented
169#2448C2212yescomplemented
170#2448C2212yescomplemented
171#2444C2214yescomplemented
172#2444C2214yescomplemented
173#2443C2214yescomplemented
174#2435C2212yes—
175#2435C2212yes—
176#2435C2212yes—
177#2435C2212yes—
178#2435C2211yescharacteristic
179#2429C2212yescomplemented
180#2429C2212yescomplemented
181#2429C2212yescomplemented
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2426C2212yescomplemented
185#2425C2214yescomplemented
186#2425C2214yescomplemented
187#2425C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2423C2212yescomplemented
192#2421C2212yescomplemented
193#2421C2212yescomplemented
194#2418C2214yescomplemented
195#2418C2214yescomplemented
196#2418C2214yescomplemented
197#2417C2212yescomplemented
198#2416C2214yescomplemented
199#2416C2212yescomplemented
200#2415C2212yescomplemented
201#2415C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2413C2214yescomplemented
205#2413C2214yescomplemented
206#2413C2214yescomplemented
207#2411C2214yescomplemented
208#2411C2214yescomplemented
209#2411C2214yescomplemented
210#2410C2212yes—
211#2410C2214yes—
212#2410C2214yes—
213#2410C2214yes—
214#2410C2214yes—
215#2408C2211yescharacteristic
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2405C2214yes—
221#2405C2212yes—
222#2405C2214yes—
223#2405C2214yes—
224#2405C2214yes—
225#2401C2212yescomplemented
226#2397C2211yescharacteristic, complemented
227#2395C2211yescharacteristic, complemented
228C2×#399C2212yescomplemented
229#2392C2212yescomplemented
230C2×#397C2214yescomplemented
231C2×#397C2212yescomplemented
232C2×#396C2214yescomplemented
233#2383C2214yescomplemented
234#2376C2212yescomplemented
235#2375C2214yescomplemented
236#2375C2214yescomplemented
237#2375C2214yescomplemented
238#2349C2212yescomplemented
239#2349C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2339C2212yescomplemented
242#2339C2211yescharacteristic, complemented
243D4×C22⋊C4C2212yes—
244D4×C22⋊C4C2212yes—
245D4×C22⋊C4C2212yes—
246D4×C22⋊C4C2211yescharacteristic
247D4×C22⋊C4C2212yes—
248C4×#123C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#120C2211yescharacteristic
252C4×#120C2212yes—
253C2×#388C2214yescomplemented
254C2×#388C2214yescomplemented
255C2×#388C2214yescomplemented
256C2×#379C2214yes—
257C2×#379C2212yes—
258#2275C2211yescharacteristic, complemented
259C26C2312yes—
260C22×#41C2312yes—
261C22×#41C2311yescharacteristic
262C23×D4—48no—
263C23×D4—44no—
264C23×D4C2312yes—
265C23×D4C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2314yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C24×C4C2311yescharacteristic
271#547—44no—
272#547—48no—
273#546—48no—
274#546—48no—
275#546—48no—
276#546—48no—
277#546—44no—
278C2×C4⋊Q8C2311yescharacteristic, complemented
279C2×C4⋊Q8C2312yescomplemented
280C2×#126C2314yes—
281C2×#126C2314yescomplemented
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2311yescharacteristic
286C2×#124C2312yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2312yes—
292C2×#123C2312yes—
293C2×#123C2312yes—
294C2×#123C2314yescomplemented
295C2×#123C2314yescomplemented
296C2×#123C2314yescomplemented
297C2×#123C2314yescomplemented
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yescomplemented
304C2×C22⋊Q8C2312yescomplemented
305C2×C22⋊Q8C2312yescomplemented
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2311yescharacteristic
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yescomplemented
319C2×#121C2312yescomplemented
320C2×#121C2314yescomplemented
321C2×#120C2312yes—
322C2×#120C2311yescharacteristic
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2312yes—
333#520—44no—
334C4×#41—48no—
335C2×C4×Q8C2312yescomplemented
336C2×C4×Q8C2312yescomplemented
337C2×C4×Q8C2312yescomplemented
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yescomplemented
349C2×C4×D4C2311yescharacteristic, complemented
350C2×C4×D4C2314yescomplemented
351C2×C4×D4C2314yescomplemented
352C2×C4×D4C2314yescomplemented
353C2×#117C2311yescharacteristic, complemented
354C2×#117C2314yescomplemented
355C2×#117C2312yescomplemented
356C2×#117C2312yescomplemented
357C22×C4⋊C4C2312yescomplemented
358C22×C4⋊C4C2314yescomplemented
359C22×C4⋊C4C2312yescomplemented
360C22×C4⋊C4C2311yescharacteristic, complemented
361C22×C4⋊C4C2314yescomplemented
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2312yes—
372C22×C42C2312yescomplemented
373C22×C42C2314yescomplemented
374#401C2314yescomplemented
375#401C2312yescomplemented
376#400C2314yescomplemented
377#400C2314yescomplemented
378#400C2314yescomplemented
379#400C2314yescomplemented
380#400C2312yescomplemented
381#400C2312yescomplemented
382#400C2312yescomplemented
383#400C2311yescharacteristic, complemented
384#399C2312yes—
385#399C2311yescharacteristic
386#399C2314yes—
387#399C2311yescharacteristic
388#399C2314yes—
389#399C2314yescomplemented
390#399C2312yescomplemented
391#399C2312yescomplemented
392#399C2314yescomplemented
393#399C2314yescomplemented
394#399C2312yescomplemented
395#399C2312yescomplemented
396#399C2314yescomplemented
397#399C2312yescomplemented
398#399C2314yescomplemented
399#399C2314yescomplemented
400#399C2312yescomplemented
401#399C2311yescharacteristic, complemented
402#398C2311yescharacteristic, complemented
403#398C2314yescomplemented
404#398C2314yescomplemented
405#398C2312yescomplemented
406#398C2314yescomplemented
407#398C2314yescomplemented
408#398C2314yescomplemented
409#398C2314yescomplemented
410#398C2312yescomplemented
411#398C2314yescomplemented
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2311yescharacteristic
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yescomplemented
423#397C2314yescomplemented
424#397C2314yescomplemented
425#397C2314yescomplemented
426#397C2314yescomplemented
427#397C2314yescomplemented
428#397C2314yescomplemented
429#397C2312yescomplemented
430#397C2312yescomplemented
431#397C2314yescomplemented
432#397C2312yescomplemented
433#397C2314yescomplemented
434#397C2314yescomplemented
435#397C2314yescomplemented
436#397C2314yescomplemented
437#397C2314yescomplemented
438#397C2314yescomplemented
439#397C2312yescomplemented
440#397C2312yescomplemented
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yescomplemented
449#396C2314yescomplemented
450#396C2314yescomplemented
451#396C2314yescomplemented
452#396C2314yescomplemented
453#396C2314yescomplemented
454#396C2312yescomplemented
455#396C2314yescomplemented
456#396C2314yescomplemented
457#396C2314yescomplemented
458#396C2314yescomplemented
459#396C2314yescomplemented
460#396C2314yescomplemented
461#396C2314yescomplemented
462#396C2314yescomplemented
463#396C2314yescomplemented
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yescomplemented
487#394C2314yescomplemented
488#394C2314yescomplemented
489#394C2312yescomplemented
490#394C2314yescomplemented
491#394C2314yescomplemented
492#394C2314yescomplemented
493#394C2314yescomplemented
494#394C2314yescomplemented
495#394C2314yescomplemented
496#394C2314yescomplemented
497#394C2314yescomplemented
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2311yescharacteristic
505#392C2312yes—
506#392C2312yescomplemented
507#392C2314yescomplemented
508#392C2314yescomplemented
509#392C2314yescomplemented
510#392C2311yescharacteristic, complemented
511#391C2312yescomplemented
512#391C2312yescomplemented
513#391C2312yescomplemented
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yescomplemented
529#390C2314yescomplemented
530#390C2314yescomplemented
531#390C2314yescomplemented
532#390C2314yescomplemented
533#390C2314yescomplemented
534#390C2314yescomplemented
535#390C2314yescomplemented
536#389C2312yescomplemented
537#389C2314yescomplemented
538#389C2314yescomplemented
539#389C2314yescomplemented
540#389C2314yescomplemented
541#389C2312yescomplemented
542#389C2312yescomplemented
543#389C2314yescomplemented
544#389C2312yescomplemented
545#389C2312yescomplemented
546#389C2312yescomplemented
547#389C2312yescomplemented
548#389C2314yescomplemented
549#389C2312yescomplemented
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yescomplemented
568#388C2314yescomplemented
569#388C2314yescomplemented
570#388C2314yescomplemented
571#388C2314yescomplemented
572#388C2314yescomplemented
573#388C2314yescomplemented
574#388C2314yescomplemented
575#388C2314yescomplemented
576#388C2314yescomplemented
577#388C2314yescomplemented
578#388C2314yescomplemented
579#388C2314yescomplemented
580#388C2314yescomplemented
581#388C2314yescomplemented
582#388C2314yescomplemented
583#388C2314yescomplemented
584#388C2312yescomplemented
585#388C2312yescomplemented
586#388C2314yescomplemented
587#388C2314yescomplemented
588#388C2314yescomplemented
589#388C2314yescomplemented
590#388C2314yescomplemented
591#388C2314yescomplemented
592#388C2314yescomplemented
593#388C2314yescomplemented
594#388C2314yescomplemented
595#388C2314yescomplemented
596#388C2314yescomplemented
597#388C2314yescomplemented
598#388C2314yescomplemented
599#388C2314yescomplemented
600#388C2314yescomplemented
601#387C2314yescomplemented
602#387C2314yescomplemented
603#387C2314yescomplemented
604#387C2312yescomplemented
605#387C2314yescomplemented
606#387C2314yescomplemented
607#387C2314yescomplemented
608#387C2312yescomplemented
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2311yescharacteristic
623#386C2312yes—
624#386C2312yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yescomplemented
628#386C2314yescomplemented
629#386C2314yescomplemented
630#386C2314yescomplemented
631#386C2314yescomplemented
632#386C2314yescomplemented
633#386C2314yescomplemented
634#386C2314yescomplemented
635#386C2314yescomplemented
636#386C2314yescomplemented
637#386C2314yescomplemented
638#386C2312yescomplemented
639#385C2314yes—
640#385C2314yes—
641#385C2311yescharacteristic
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yescomplemented
650#385C2314yescomplemented
651#385C2314yescomplemented
652#385C2314yescomplemented
653#385C2314yescomplemented
654#385C2314yescomplemented
655#385C2314yescomplemented
656#384C2312yescomplemented
657#384C2312yescomplemented
658#384C2314yescomplemented
659#383C2314yescomplemented
660#382C2312yescomplemented
661#382C2312yescomplemented
662#381C2314yescomplemented
663#381C2312yescomplemented
664#381C2312yescomplemented
665#381C2312yescomplemented
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2311yescharacteristic
671#380C2312yescomplemented
672#380C2311yescharacteristic, complemented
673#380C2314yescomplemented
674#380C2314yescomplemented
675#380C2314yescomplemented
676#380C2314yescomplemented
677#380C2312yescomplemented
678#380C2312yescomplemented
679#379C2314yes—
680#379C2314yes—
681#379C2314yes—
682#379C2312yes—
683#379C2314yes—
684#379C2312yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2312yes—
691#379C2314yes—
692#379C2312yes—
693#379C2314yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2311yescharacteristic
702#379C2312yes—
703C4×C4⋊C4C2312yescomplemented
704C4×C4⋊C4C2312yescomplemented
705C4×C4⋊C4C2312yescomplemented
706C4×C4⋊C4C2311yescharacteristic, complemented
707C4×C4⋊C4C2312yescomplemented
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2312yescomplemented
714C4×C22⋊C4C2311yescharacteristic, complemented
715C4×C22⋊C4C2314yescomplemented
716C4×C22⋊C4C2312yescomplemented
717#376C2311yescharacteristic, complemented
718C2×#95C2314yescomplemented
719C2×#95C2312yescomplemented
720C2×#95C2314yescomplemented
721C2×#95C2314yescomplemented
722C2×#95C2312yescomplemented
723C25—48no—
724C25—44no—
725C25—48no—
726C25—44no—
727C25—82no—
728C25C2412yes—
729C25C2414yes—
730C25C2411yescharacteristic
731C25C2414yes—
732C25C2412yes—
733C2×#41—28no—
734C2×#41—24no—
735C2×#41—28no—
736C2×#41—28no—
737C2×#41—28no—
738C22×Q8C2412yes—
739C22×Q8C2411yescharacteristic
740C22×D4—28no—
741C22×D4—28no—
742C22×D4—28no—
743C22×D4—28no—
744C22×D4—24no—
745C22×D4—44no—
746C22×D4—42no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—48no—
751C22×D4—44no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4—48no—
755C22×D4—464no—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C23×C4—44no—
778C23×C4—42no—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C4⋊Q8—42no—
796C4⋊Q8—44no—
797#126—48no—
798#126—84no—
799#124—44no—
800#124—44no—
801#124—44no—
802#124—42no—
803#124—44no—
804#123—44no—
805#123—44no—
806#123—48no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—44no—
811#123—48no—
812#123—48no—
813#123—48no—
814#123—84no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—42no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—44no—
829#121—42no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—44no—
835#121—48no—
836#121—44no—
837#121—84no—
838#120—48no—
839#120—48no—
840#120—48no—
841#120—42no—
842#120—44no—
843#120—48no—
844#120—48no—
845#120—48no—
846#120—44no—
847#120—48no—
848#120—84no—
849#120—82no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—24no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—42no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4—48no—
868#117—42no—
869#117—48no—
870#117—44no—
871#117—44no—
872C2×C4⋊C4—42no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4—48no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—84no—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C22⋊C4—48no—
922C2×C22⋊C4—48no—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—48no—
925C2×C22⋊C4—44no—
926C2×C22⋊C4—48no—
927C2×C22⋊C4—48no—
928C2×C22⋊C4—48no—
929C2×C22⋊C4—84no—
930C2×C22⋊C4—82no—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—44no—
1013C2×C42—48no—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027#95C2411yescharacteristic
1028#95C2411yescharacteristic
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—28no—
1075C24—24no—
1076C24—24no—
1077C24—22no—
1078C24—28no—
1079C24—28no—
1080C24—28no—
1081C24—28no—
1082C24—24no—
1083C24—28no—
1084C24—24no—
1085C24—42no—
1086C24—41no—
1087C24—41no—
1088C24—44no—
1089C24—42no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—42no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—42no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—432no—
1104C24—832no—
1105C24—816no—
1106C24—832no—
1107C24—816no—
1108C24C2514yes—
1109C24C2512yes—
1110C24C2511yescharacteristic
1111C24C2512yes—
1112C24C2512yes—
1113C24C2511yescharacteristic
1114C24C2512yes—
1115#41—432no—
1116#41—416no—
1117C2×Q8—24no—
1118C2×Q8—22no—
1119C2×Q8—24no—
1120C2×Q8—24no—
1121C2×Q8—24no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—22no—
1141C2×D4—24no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—41no—
1151C2×D4—42no—
1152C2×D4—41no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—42no—
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—432no—
1177C2×D4—464no—
1178C2×D4—416no—
1179C2×D4—432no—
1180C2×D4—432no—
1181C2×D4—416no—
1182C2×D4H(5,𝔽2)18yes—
1183C2×D4H(5,𝔽2)14yes—
1184C22×C4—28no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—28no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—416no—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—41no—
1256C4⋊C4—42no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—22no—
1306C22⋊C4—24no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—41no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—41no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—41no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—21no—
1406C23—24no—
1407C23—22no—
1408C23—24no—
1409C23—24no—
1410C23—24no—
1411C23—24no—
1412C23—22no—
1413C23—21no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—24no—
1423C23—22no—
1424C23—21no—
1425C23—48no—
1426C23—44no—
1427C23—416no—
1428C23—416no—
1429C23—416no—
1430C23—416no—
1431C23—48no—
1432C23—48no—
1433C23—44no—
1434C23—44no—
1435C23—416no—
1436C23—48no—
1437C23—416no—
1438C23—48no—
1439C23—88no—
1440C23—84no—
1441C23—88no—
1442C23—88no—
1443C23—88no—
1444C23—88no—
1445C23—88no—
1446C23—88no—
1447C23—88no—
1448C23—84no—
1449C23—88no—
1450C23—84no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—8128no—
1455C23C2×H(5,𝔽2)18yes—
1456C23C2×H(5,𝔽2)14yes—
1457C23#58514yes—
1458C23#58512yes—
1459C23C2611yescharacteristic
1460Q8—48no—
1461Q8—44no—
1462D4—416no—
1463D4—48no—
1464D4—48no—
1465D4—416no—
1466D4—416no—
1467D4—48no—
1468D4—44no—
1469D4—48no—
1470D4—84no—
1471D4—84no—
1472D4—84no—
1473D4—84no—
1474D4—82no—
1475D4—82no—
1476D4—84no—
1477D4—164no—
1478D4—162no—
1479D4—164no—
1480D4—164no—
1481D4—164no—
1482D4#560116yes—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—48no—
1542C2×C4—44no—
1543C2×C4—416no—
1544C2×C4—48no—
1545C2×C4—48no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—88no—
1550C2×C4—84no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—162no—
1557C2×C4C2×H(5,𝔽2)14yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C22—28no—
1560C22—24no—
1561C22—28no—
1562C22—24no—
1563C22—24no—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—22no—
1568C22—416no—
1569C22—42no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—41no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—41no—
1581C22—42no—
1582C22—44no—
1583C22—44no—
1584C22—44no—
1585C22—44no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—41no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—41no—
1598C22—42no—
1599C22—44no—
1600C22—832no—
1601C22—816no—
1602C22—832no—
1603C22—816no—
1604C22C2×#56018yes—
1605C22C22×H(5,𝔽2)12yes—
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C2×#58512yes—
1608C22C2×#58511yescharacteristic
1609C22H(7,𝔽2)11yescharacteristic
1610C4—42no—
1611C4—41no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—44no—
1621C4—44no—
1622C4—42no—
1623C4—44no—
1624C4—41no—
1625C4—42no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—44no—
1630C4—42no—
1631C4C2×#56014yes—
1632C2—28no—
1633C2—44no—
1634C2—42no—
1635C2—82no—
1636C2—81no—
1637C2—82no—
1638C2—84no—
1639C2C22×#56011yescharacteristic
1640C2#6289612yes—
1641C2#6291811yescharacteristic
1642C2#6301712yes—
1643C2#6301711yescharacteristic
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. #53129C2semidirect
2. #53103C2semidirect
3. #53043C2semidirect
4. #53018C2semidirect
5. #52742C2semidirect
6. #52586C2semidirect
7. #52471C2semidirect
8. #52347C2semidirect
9. #52292C2semidirect
10. C2×#2735C2semidirect
11. #45701C2semidirect
12. #45697C2semidirect
13. #45642C2semidirect
14. #45624C2semidirect
15. #45622C2semidirect
16. #45588C2semidirect
17. #45588C2semidirect
18. #45578C2semidirect
19. #45457C2semidirect
20. #45457C2semidirect
21. #36218C2semidirect
22. #36218C2semidirect
23. #36216C2semidirect
24. #36152C2semidirect
25. #36152C2semidirect
26. #36060C2semidirect
27. #35976C2semidirect
28. #35873C2semidirect
29. #35821C2semidirect
31. C2×#547C22semidirect
32. C2×#547C22semidirect
38. C2×#520C22semidirect
39. C2×C4×#41C22semidirect
40. #2854C22semidirect
41. #2854C22semidirect
42. #2854C22semidirect
43. #2853C22semidirect
44. #2850C22semidirect
45. #2850C22semidirect
50. #2842C22semidirect
51. #2842C22semidirect
52. #2837C22semidirect
53. #2837C22semidirect
54. #2837C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2834C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2827C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2823C22semidirect
66. #2815C22semidirect
67. #2812C22semidirect
68. #2812C22semidirect
69. #2807C22semidirect
70. #2807C22semidirect
71. #2803C22semidirect
72. #2803C22semidirect
73. #2801C22semidirect
74. #2801C22semidirect
75. #2796C22semidirect
76. #2796C22semidirect
77. #2795C22semidirect
78. #2795C22semidirect
79. #2795C22semidirect
80. #2790C22semidirect
81. #2790C22semidirect
82. #2780C22semidirect
83. #2778C22semidirect
84. #2757C22semidirect
85. #2756C22semidirect
86. #2756C22semidirect
87. #2752C22semidirect
88. #2752C22semidirect
89. #2746C22semidirect
90. #2746C22semidirect
94. #2735C22semidirect
95. #2735C22semidirect
96. #2735C22semidirect
97. #2735C22semidirect
98. #2735C22semidirect
99. #2735C22semidirect
100. #2735C22semidirect
101. #2735C22semidirect
102. #2735C22semidirect
103. #2735C22semidirect
104. #2705C22semidirect
105. #2703C22semidirect
107. #2697C22semidirect
108. #2697C22semidirect
109. #2693C22semidirect
110. #2688C22semidirect
112. #2685C22semidirect
113. #2685C22semidirect
114. #2685C22semidirect
115. #2685C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
120. #2668C22semidirect
121. #2658C22semidirect
122. #2656C22semidirect
123. #2644C22semidirect
124. #2643C22semidirect
125. #2624C22semidirect
126. #2623C22semidirect
127. #2620C22semidirect
128. #2618C22semidirect
129. #2545C22semidirect
130. #2545C22semidirect
131. #2545C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2539C22semidirect
139. #2539C22semidirect
140. #2538C22semidirect
141. #2536C22semidirect
142. #2536C22semidirect
143. #2534C22semidirect
144. #2534C22semidirect
145. #2534C22semidirect
146. #2513C22semidirect
147. #2513C22semidirect
148. #2512C22semidirect
149. #2510C22semidirect
150. #2510C22semidirect
151. #2504C22semidirect
152. #2501C22semidirect
153. #2501C22semidirect
154. #2500C22semidirect
155. #2498C22semidirect
156. #2498C22semidirect
157. #2496C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2482C22semidirect
163. #2482C22semidirect
164. #2481C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2448C22semidirect
171. #2444C22semidirect
172. #2444C22semidirect
173. #2443C22semidirect
179. #2429C22semidirect
180. #2429C22semidirect
181. #2429C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
184. #2426C22semidirect
185. #2425C22semidirect
186. #2425C22semidirect
187. #2425C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2423C22semidirect
192. #2421C22semidirect
193. #2421C22semidirect
194. #2418C22semidirect
195. #2418C22semidirect
196. #2418C22semidirect
197. #2417C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2415C22semidirect
201. #2415C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2413C22semidirect
205. #2413C22semidirect
206. #2413C22semidirect
207. #2411C22semidirect
208. #2411C22semidirect
209. #2411C22semidirect
225. #2401C22semidirect
226. #2397C22semidirect
227. #2395C22semidirect
228. C2×#399C22semidirect
229. #2392C22semidirect
230. C2×#397C22semidirect
231. C2×#397C22semidirect
232. C2×#396C22semidirect
233. #2383C22semidirect
234. #2376C22semidirect
235. #2375C22semidirect
236. #2375C22semidirect
237. #2375C22semidirect
238. #2349C22semidirect
239. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2339C22semidirect
242. #2339C22semidirect
248. C4×#123C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
253. C2×#388C22semidirect
254. C2×#388C22semidirect
255. C2×#388C22semidirect
258. #2275C22semidirect
278. C2×C4⋊Q8C23semidirect
279. C2×C4⋊Q8C23semidirect
281. C2×#126C23semidirect
294. C2×#123C23semidirect
295. C2×#123C23semidirect
296. C2×#123C23semidirect
297. C2×#123C23semidirect
303. C2×C22⋊Q8C23semidirect
304. C2×C22⋊Q8C23semidirect
305. C2×C22⋊Q8C23semidirect
318. C2×#121C23semidirect
319. C2×#121C23semidirect
320. C2×#121C23semidirect
335. C2×C4×Q8C23semidirect
336. C2×C4×Q8C23semidirect
337. C2×C4×Q8C23semidirect
348. C2×C4×D4C23semidirect
349. C2×C4×D4C23semidirect
350. C2×C4×D4C23semidirect
351. C2×C4×D4C23semidirect
352. C2×C4×D4C23semidirect
353. C2×#117C23semidirect
354. C2×#117C23semidirect
355. C2×#117C23semidirect
356. C2×#117C23semidirect
357. C22×C4⋊C4C23semidirect
358. C22×C4⋊C4C23semidirect
359. C22×C4⋊C4C23semidirect
360. C22×C4⋊C4C23semidirect
361. C22×C4⋊C4C23semidirect
372. C22×C42C23semidirect
373. C22×C42C23semidirect
374. #401C23semidirect
375. #401C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
380. #400C23semidirect
381. #400C23semidirect
382. #400C23semidirect
383. #400C23semidirect
389. #399C23semidirect
390. #399C23semidirect
391. #399C23semidirect
392. #399C23semidirect
393. #399C23semidirect
394. #399C23semidirect
395. #399C23semidirect
396. #399C23semidirect
397. #399C23semidirect
398. #399C23semidirect
399. #399C23semidirect
400. #399C23semidirect
401. #399C23semidirect
402. #398C23semidirect
403. #398C23semidirect
404. #398C23semidirect
405. #398C23semidirect
406. #398C23semidirect
407. #398C23semidirect
408. #398C23semidirect
409. #398C23semidirect
410. #398C23semidirect
411. #398C23semidirect
422. #397C23semidirect
423. #397C23semidirect
424. #397C23semidirect
425. #397C23semidirect
426. #397C23semidirect
427. #397C23semidirect
428. #397C23semidirect
429. #397C23semidirect
430. #397C23semidirect
431. #397C23semidirect
432. #397C23semidirect
433. #397C23semidirect
434. #397C23semidirect
435. #397C23semidirect
436. #397C23semidirect
437. #397C23semidirect
438. #397C23semidirect
439. #397C23semidirect
440. #397C23semidirect
448. #396C23semidirect
449. #396C23semidirect
450. #396C23semidirect
451. #396C23semidirect
452. #396C23semidirect
453. #396C23semidirect
454. #396C23semidirect
455. #396C23semidirect
456. #396C23semidirect
457. #396C23semidirect
458. #396C23semidirect
459. #396C23semidirect
460. #396C23semidirect
461. #396C23semidirect
462. #396C23semidirect
463. #396C23semidirect
486. #394C23semidirect
487. #394C23semidirect
488. #394C23semidirect
489. #394C23semidirect
490. #394C23semidirect
491. #394C23semidirect
492. #394C23semidirect
493. #394C23semidirect
494. #394C23semidirect
495. #394C23semidirect
496. #394C23semidirect
497. #394C23semidirect
506. #392C23semidirect
507. #392C23semidirect
508. #392C23semidirect
509. #392C23semidirect
510. #392C23semidirect
511. #391C23semidirect
512. #391C23semidirect
513. #391C23semidirect
528. #390C23semidirect
529. #390C23semidirect
530. #390C23semidirect
531. #390C23semidirect
532. #390C23semidirect
533. #390C23semidirect
534. #390C23semidirect
535. #390C23semidirect
536. #389C23semidirect
537. #389C23semidirect
538. #389C23semidirect
539. #389C23semidirect
540. #389C23semidirect
541. #389C23semidirect
542. #389C23semidirect
543. #389C23semidirect
544. #389C23semidirect
545. #389C23semidirect
546. #389C23semidirect
547. #389C23semidirect
548. #389C23semidirect
549. #389C23semidirect
567. #388C23semidirect
568. #388C23semidirect
569. #388C23semidirect
570. #388C23semidirect
571. #388C23semidirect
572. #388C23semidirect
573. #388C23semidirect
574. #388C23semidirect
575. #388C23semidirect
576. #388C23semidirect
577. #388C23semidirect
578. #388C23semidirect
579. #388C23semidirect
580. #388C23semidirect
581. #388C23semidirect
582. #388C23semidirect
583. #388C23semidirect
584. #388C23semidirect
585. #388C23semidirect
586. #388C23semidirect
587. #388C23semidirect
588. #388C23semidirect
589. #388C23semidirect
590. #388C23semidirect
591. #388C23semidirect
592. #388C23semidirect
593. #388C23semidirect
594. #388C23semidirect
595. #388C23semidirect
596. #388C23semidirect
597. #388C23semidirect
598. #388C23semidirect
599. #388C23semidirect
600. #388C23semidirect
601. #387C23semidirect
602. #387C23semidirect
603. #387C23semidirect
604. #387C23semidirect
605. #387C23semidirect
606. #387C23semidirect
607. #387C23semidirect
608. #387C23semidirect
627. #386C23semidirect
628. #386C23semidirect
629. #386C23semidirect
630. #386C23semidirect
631. #386C23semidirect
632. #386C23semidirect
633. #386C23semidirect
634. #386C23semidirect
635. #386C23semidirect
636. #386C23semidirect
637. #386C23semidirect
638. #386C23semidirect
649. #385C23semidirect
650. #385C23semidirect
651. #385C23semidirect
652. #385C23semidirect
653. #385C23semidirect
654. #385C23semidirect
655. #385C23semidirect
656. #384C23semidirect
657. #384C23semidirect
658. #384C23semidirect
659. #383C23semidirect
660. #382C23semidirect
661. #382C23semidirect
662. #381C23semidirect
663. #381C23semidirect
664. #381C23semidirect
665. #381C23semidirect
671. #380C23semidirect
672. #380C23semidirect
673. #380C23semidirect
674. #380C23semidirect
675. #380C23semidirect
676. #380C23semidirect
677. #380C23semidirect
678. #380C23semidirect
703. C4×C4⋊C4C23semidirect
704. C4×C4⋊C4C23semidirect
705. C4×C4⋊C4C23semidirect
706. C4×C4⋊C4C23semidirect
707. C4×C4⋊C4C23semidirect
713. C4×C22⋊C4C23semidirect
714. C4×C22⋊C4C23semidirect
715. C4×C22⋊C4C23semidirect
716. C4×C22⋊C4C23semidirect
717. #376C23semidirect
718. C2×#95C23semidirect
719. C2×#95C23semidirect
720. C2×#95C23semidirect
721. C2×#95C23semidirect
722. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#531292
#531032
#530432
#530182
#527422
#525862
#524712
#523472
#522922
C2×#27352
#457012
#456972
#456422
#456242
#456222
#455882
#455782
#454572
#362182
#362162
#361522
#360602
#359762
#358732
#358212