Finite Group Databasebeta

← #7657521

Subgroups — #7657521

Order 512.

5277 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42737C212yesmaximal, complemented
2#42735C212yesmaximal, complemented
3#42734C212yesmaximal, complemented
4#42731C212yesmaximal, complemented
5#41469C214yesmaximal, complemented
6#41449C214yesmaximal, complemented
7#40843C214yesmaximal, complemented
8#40813C214yesmaximal, complemented
9#39771C211yesmaximal, characteristic, complemented
10#39761C211yesmaximal, characteristic, complemented
11#38941C211yesmaximal, characteristic, complemented
12#38940C211yesmaximal, characteristic, complemented
13#38055C212yesmaximal, complemented
14#38054C212yesmaximal, complemented
15#37704C212yesmaximal, complemented
16#37696C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37629C211yesmaximal, characteristic, complemented
19#37494C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36274C211yesmaximal, characteristic, complemented
22#36258C211yesmaximal, characteristic
23D4×C4⋊Q8C211yesmaximal, characteristic, complemented
24D4×#124C211yesmaximal, characteristic, complemented
25#35939C212yesmaximal, complemented
26#35873C212yesmaximal, complemented
27#35791C212yesmaximal, complemented
28#35702C212yesmaximal, complemented
29#35277C211yesmaximal, characteristic, complemented
30#35270C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32C2×#2640C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×D4×Q8C2212yes—
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#542C2212yescomplemented
41C22×C4⋊Q8C2212yescomplemented
42C22×#124C2212yes—
43C2×#518C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2868C2211yescharacteristic, complemented
46#2858C2211yescharacteristic
47#2857C2212yescomplemented
48#2857C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2855C2212yescomplemented
51#2854C2212yes—
52#2850C2212yes—
53#2838C2214yescomplemented
54#2832C2214yescomplemented
55#2831C2214yescomplemented
56#2830C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2796C2214yescomplemented
60#2793C2214yescomplemented
61#2775C2214yescomplemented
62#2764C2214yescomplemented
63#2763C2214yescomplemented
64#2761C2214yescomplemented
65#2759C2214yescomplemented
66#2757C2214yescomplemented
67#2754C2214yescomplemented
68#2751C2214yescomplemented
69#2737C2214yescomplemented
70#2737C2214yescomplemented
71#2737C2214yescomplemented
72#2731C2214yescomplemented
73#2729C2214yescomplemented
74#2723C2214yescomplemented
75#2716C2214yescomplemented
76#2716C2214yescomplemented
77#2715C2214yescomplemented
78#2712C2214yescomplemented
79#2710C2214yescomplemented
80#2700C2214yescomplemented
81#2686C2214yescomplemented
82#2674C2214yescomplemented
83#2665C2214yescomplemented
84#2662C2214yescomplemented
85#2654C2212yescomplemented
86#2653C2212yescomplemented
87#2653C2214yescomplemented
88#2651C2214yescomplemented
89#2650C2212yescomplemented
90#2650C2214yescomplemented
91#2649C2212yescomplemented
92#2647C2211yescharacteristic, complemented
93#2645C2211yescharacteristic, complemented
94#2645C2212yescomplemented
95#2644C2211yescharacteristic
96#2644C2212yescomplemented
97#2644C2212yescomplemented
98#2643C2214yescomplemented
99#2640C2212yes—
100#2640C2211yescharacteristic
101#2640C2212yes—
102#2640C2212yes—
103#2640C2212yescomplemented
104#2640C2212yescomplemented
105#2640C2214yescomplemented
106#2640C2212yescomplemented
107#2640C2214yescomplemented
108#2640C2212yescomplemented
109#2640C2214yescomplemented
110#2640C2214yescomplemented
111#2640C2212yescomplemented
112#2639C2214yescomplemented
113#2638C2214yescomplemented
114#2628C2211yescharacteristic, complemented
115#2628C2212yescomplemented
116#2626C2214yescomplemented
117#2625C2211yescharacteristic, complemented
118#2625C2212yescomplemented
119#2624C2211yescharacteristic
120#2622C2214yescomplemented
121#2620C2211yescharacteristic
122#2620C2212yescomplemented
123#2592C2212yescomplemented
124#2582C2211yescharacteristic, complemented
125#2580C2212yescomplemented
126#2568C2211yescharacteristic, complemented
127#2564C2214yescomplemented
128#2563C2212yescomplemented
129#2563C2212yescomplemented
130#2561C2214yescomplemented
131#2551C2211yescharacteristic, complemented
132#2551C2211yescharacteristic, complemented
133#2551C2212yescomplemented
134#2548C2211yescharacteristic
135#2548C2211yescharacteristic
136#2547C2211yescharacteristic
137#2546C2212yescomplemented
138#2538C2211yescharacteristic
139#2532C2214yescomplemented
140#2530C2214yescomplemented
141#2529C2214yescomplemented
142#2527C2214yescomplemented
143#2513C2212yescomplemented
144#2513C2212yescomplemented
145#2512C2212yes—
146#2512C2212yescomplemented
147#2512C2212yescomplemented
148#2511C2212yescomplemented
149#2510C2214yescomplemented
150#2510C2214yescomplemented
151#2499C2212yescomplemented
152#2496C2212yescomplemented
153#2495C2212yescomplemented
154#2494C2212yescomplemented
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2491C2212yes—
159#2491C2212yes—
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2488C2214yescomplemented
165#2488C2214yescomplemented
166#2485C2212yescomplemented
167#2483C2214yescomplemented
168#2481C2214yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2480C2214yescomplemented
172#2472C2214yes—
173#2472C2214yes—
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2452C2212yescomplemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2452C2212yescomplemented
180#2451C2212yescomplemented
181#2451C2212yescomplemented
182#2450C2214yescomplemented
183#2450C2214yescomplemented
184#2450C2214yescomplemented
185#2448C2212yes—
186#2448C2212yescomplemented
187#2447C2212yescomplemented
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2447C2212yescomplemented
191#2444C2214yescomplemented
192#2443C2214yescomplemented
193#2440C2214yescomplemented
194#2440C2212yescomplemented
195#2440C2212yescomplemented
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2438C2214yescomplemented
200#2437C2214yescomplemented
201#2437C2214yescomplemented
202#2436C2212yes—
203#2436C2214yescomplemented
204#2435C2212yes—
205#2434C2214yescomplemented
206#2427C2212yescomplemented
207#2426C2212yes—
208#2426C2212yes—
209#2424C2214yes—
210#2422C2212yescomplemented
211#2422C2212yescomplemented
212#2420C2212yescomplemented
213#2419C2214yescomplemented
214#2419C2214yescomplemented
215#2417C2212yescomplemented
216#2416C2212yes—
217#2414C2212yes—
218#2412C2214yescomplemented
219#2411C2214yes—
220#2409C2212yescomplemented
221#2409C2214yescomplemented
222#2408C2212yes—
223#2401C2212yescomplemented
224#2398C2212yescomplemented
225#2396C2212yescomplemented
226#2395C2212yescomplemented
227C2×#397C2214yescomplemented
228C2×#397C2214yescomplemented
229C2×#393C2214yescomplemented
230C2×#393C2214yescomplemented
231#2369C2212yescomplemented
232#2368C2214yescomplemented
233#2366C2211yescharacteristic
234#2365C2211yescharacteristic, complemented
235#2363C2212yes—
236#2361C2212yes—
237#2360C2212yescomplemented
238#2358C2214yes—
239#2356C2211yescharacteristic, complemented
240#2356C2211yescharacteristic, complemented
241#2355C2211yescharacteristic, complemented
242#2354C2211yescharacteristic
243#2353C2212yescomplemented
244#2353C2212yescomplemented
245#2349C2212yes—
246#2349C2211yescharacteristic
247#2349C2212yes—
248#2349C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252#2346C2211yescharacteristic, complemented
253#2346C2211yescharacteristic, complemented
254#2343C2212yescomplemented
255#2343C2212yescomplemented
256Q8×C22⋊C4C2212yescomplemented
257#2339C2211yescharacteristic
258#2339C2211yescharacteristic
259#2339C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yes—
265#2331C2212yescomplemented
266#2331C2212yescomplemented
267#2329C2214yescomplemented
268#2326C2212yescomplemented
269#2326C2212yescomplemented
270#2324C2212yes—
271#2321C2214yes—
272#2320C2212yescomplemented
273#2319C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2295C2211yescharacteristic, complemented
283#2295C2211yescharacteristic, complemented
284#2295C2211yescharacteristic, complemented
285C2×#391C2212yescomplemented
286C2×#391C2212yescomplemented
287#2293C2211yescharacteristic
288C2×#390C2212yes—
289C2×#390C2212yes—
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2283C2211yescharacteristic, complemented
293#2283C2212yescomplemented
294#2275C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×#376C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×Q8C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304D4×Q8—28no—
305D4×Q8—48no—
306#546—48no—
307D42—28no—
308#542—48no—
309C2×C4⋊Q8—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#124—48no—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357#518—48no—
358C4×#41—28no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2314yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405#401C2314yes—
406#401C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#393C2314yes—
516#393C2312yes—
517#393C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#392C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2314yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2314yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#383C2314yes—
714#383C2312yes—
715#383C2312yes—
716#383C2312yes—
717#382C2311yescharacteristic
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2314yes—
731#381C2314yes—
732#380C2311yescharacteristic
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2312yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—28no—
824C22×Q8—48no—
825C22×Q8—44no—
826C22×Q8—48no—
827C22×Q8—44no—
828C22×Q8—84no—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×Q8C2414yes—
836C22×Q8C2414yes—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—28no—
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2414yes—
869C4⋊Q8—28no—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—28no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—48no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—48no—
880C4⋊Q8—82no—
881#127—24no—
882#126—48no—
883#126—84no—
884#124—24no—
885#124—28no—
886#124—48no—
887#124—48no—
888#124—44no—
889#124—44no—
890#124—44no—
891#124—44no—
892#124—48no—
893#124—84no—
894#123—48no—
895#123—48no—
896C22⋊Q8—28no—
897C22⋊Q8—216no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—84no—
906#121—28no—
907#121—28no—
908#121—42no—
909#121—44no—
910#121—44no—
911#121—48no—
912#121—82no—
913#120—216no—
914#120—48no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—82no—
940C4×D4#4118yes—
941#117—24no—
942#117—28no—
943#117—24no—
944#117—42no—
945#117—44no—
946#117—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—48no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4—48no—
1009C2×C22⋊C4—48no—
1010C2×C22⋊C4—48no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—84no—
1014C2×C22⋊C4—84no—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C42—28no—
1076C2×C42—24no—
1077C2×C42—28no—
1078C2×C42—44no—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189C24—28no—
1190C24—28no—
1191C24—28no—
1192C24—44no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24C2512yes—
1197C24C2514yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200#41—416no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—28no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—816no—
1226C2×Q8—832no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—432no—
1255C2×D4—816no—
1256C2×D4C2×#4114yes—
1257C2×D4H(5,𝔽2)14yes—
1258C2×D42−1+414yes—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—28no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4C2×#4118yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4C2×#4114yes—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4C2×#4118yes—
1456C42—22no—
1457C42—24no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—24no—
1475C42—22no—
1476C42—42no—
1477C42—42no—
1478C42—41no—
1479C42—41no—
1480C42—44no—
1481C42—41no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—41no—
1486C42C2×#4114yes—
1487C42H(5,𝔽2)14yes—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—24no—
1495C23—21no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—24no—
1504C23—21no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—21no—
1510C23—21no—
1511C23—24no—
1512C23—22no—
1513C23—416no—
1514C23—88no—
1515C23—88no—
1516C23—88no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23C22×#4114yes—
1521C23C2×H(5,𝔽2)14yes—
1522C23C2×2−1+414yes—
1523C23C2611yescharacteristic
1524Q8—48no—
1525Q8—44no—
1526Q8—48no—
1527Q8—44no—
1528Q8—88no—
1529Q8—88no—
1530Q8—88no—
1531Q8—88no—
1532D4—416no—
1533D4—48no—
1534D4—48no—
1535D4—48no—
1536D4—44no—
1537D4—84no—
1538D4—88no—
1539D4—84no—
1540D4—164no—
1541D4#542116yescomplemented
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—216no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—82no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—164no—
1640C2×C4—164no—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4#58512yes—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—41no—
1658C22—42no—
1659C22—44no—
1660C22—41no—
1661C22—44no—
1662C22—42no—
1663C22—44no—
1664C22—41no—
1665C22—42no—
1666C22—44no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—44no—
1672C22—41no—
1673C22—44no—
1674C22—42no—
1675C22—41no—
1676C22—44no—
1677C22—42no—
1678C22—1616no—
1679C22C2×#54218yes—
1680C22C23×#4111yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×2−1+411yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22H(7,𝔽2)11yescharacteristic
1686C222−1+611yescharacteristic
1687C4—24no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—44no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4C2×#54214yes—
1717C4#351414yes—
1718C2—28no—
1719C2—81no—
1720C2—84no—
1721C2—82no—
1722C2C22×#54211yescharacteristic
1723C2C2×#351411yescharacteristic
1724C2#6285711yescharacteristic
1725C2#6291211yescharacteristic
1726C2#6292111yescharacteristic
1727C2#6294211yescharacteristic
1728C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36258C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42737C2semidirect
2. #42735C2semidirect
3. #42734C2semidirect
4. #42731C2semidirect
5. #41469C2semidirect
6. #41449C2semidirect
7. #40843C2semidirect
8. #40813C2semidirect
9. #39771C2semidirect
10. #39761C2semidirect
11. #38941C2semidirect
12. #38940C2semidirect
13. #38055C2semidirect
14. #38054C2semidirect
15. #37704C2semidirect
16. #37696C2semidirect
17. #37631C2semidirect
18. #37629C2semidirect
19. #37494C2semidirect
20. #37492C2semidirect
21. #36274C2semidirect
23. D4×C4⋊Q8C2semidirect
24. D4×#124C2semidirect
25. #35939C2semidirect
26. #35873C2semidirect
27. #35791C2semidirect
28. #35702C2semidirect
29. #35277C2semidirect
30. #35270C2semidirect
31. #34619C2semidirect
32. C2×#2640C2semidirect
33. #34334C2semidirect
34. #34310C2semidirect
35. #34123C2semidirect
40. C2×#542C22semidirect
41. C22×C4⋊Q8C22semidirect
45. #2868C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
50. #2855C22semidirect
53. #2838C22semidirect
54. #2832C22semidirect
55. #2831C22semidirect
56. #2830C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2796C22semidirect
60. #2793C22semidirect
61. #2775C22semidirect
62. #2764C22semidirect
63. #2763C22semidirect
64. #2761C22semidirect
65. #2759C22semidirect
66. #2757C22semidirect
67. #2754C22semidirect
68. #2751C22semidirect
69. #2737C22semidirect
70. #2737C22semidirect
71. #2737C22semidirect
72. #2731C22semidirect
73. #2729C22semidirect
74. #2723C22semidirect
75. #2716C22semidirect
76. #2716C22semidirect
77. #2715C22semidirect
78. #2712C22semidirect
79. #2710C22semidirect
80. #2700C22semidirect
81. #2686C22semidirect
82. #2674C22semidirect
83. #2665C22semidirect
84. #2662C22semidirect
85. #2654C22semidirect
86. #2653C22semidirect
87. #2653C22semidirect
88. #2651C22semidirect
89. #2650C22semidirect
90. #2650C22semidirect
91. #2649C22semidirect
92. #2647C22semidirect
93. #2645C22semidirect
94. #2645C22semidirect
96. #2644C22semidirect
97. #2644C22semidirect
98. #2643C22semidirect
103. #2640C22semidirect
104. #2640C22semidirect
105. #2640C22semidirect
106. #2640C22semidirect
107. #2640C22semidirect
108. #2640C22semidirect
109. #2640C22semidirect
110. #2640C22semidirect
111. #2640C22semidirect
112. #2639C22semidirect
113. #2638C22semidirect
114. #2628C22semidirect
115. #2628C22semidirect
116. #2626C22semidirect
117. #2625C22semidirect
118. #2625C22semidirect
120. #2622C22semidirect
122. #2620C22semidirect
123. #2592C22semidirect
124. #2582C22semidirect
125. #2580C22semidirect
126. #2568C22semidirect
127. #2564C22semidirect
128. #2563C22semidirect
129. #2563C22semidirect
130. #2561C22semidirect
131. #2551C22semidirect
132. #2551C22semidirect
133. #2551C22semidirect
137. #2546C22semidirect
139. #2532C22semidirect
140. #2530C22semidirect
141. #2529C22semidirect
142. #2527C22semidirect
143. #2513C22semidirect
144. #2513C22semidirect
146. #2512C22semidirect
147. #2512C22semidirect
148. #2511C22semidirect
149. #2510C22semidirect
150. #2510C22semidirect
151. #2499C22semidirect
152. #2496C22semidirect
153. #2495C22semidirect
154. #2494C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2488C22semidirect
165. #2488C22semidirect
166. #2485C22semidirect
167. #2483C22semidirect
168. #2481C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2480C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2452C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2452C22semidirect
180. #2451C22semidirect
181. #2451C22semidirect
182. #2450C22semidirect
183. #2450C22semidirect
184. #2450C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2447C22semidirect
191. #2444C22semidirect
192. #2443C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
199. #2438C22semidirect
200. #2437C22semidirect
201. #2437C22semidirect
203. #2436C22semidirect
205. #2434C22semidirect
206. #2427C22semidirect
210. #2422C22semidirect
211. #2422C22semidirect
212. #2420C22semidirect
213. #2419C22semidirect
214. #2419C22semidirect
215. #2417C22semidirect
218. #2412C22semidirect
220. #2409C22semidirect
221. #2409C22semidirect
223. #2401C22semidirect
224. #2398C22semidirect
225. #2396C22semidirect
226. #2395C22semidirect
227. C2×#397C22semidirect
228. C2×#397C22semidirect
229. C2×#393C22semidirect
230. C2×#393C22semidirect
231. #2369C22semidirect
232. #2368C22semidirect
234. #2365C22semidirect
237. #2360C22semidirect
239. #2356C22semidirect
240. #2356C22semidirect
241. #2355C22semidirect
243. #2353C22semidirect
244. #2353C22semidirect
252. #2346C22semidirect
253. #2346C22semidirect
254. #2343C22semidirect
255. #2343C22semidirect
256. Q8×C22⋊C4C22semidirect
265. #2331C22semidirect
266. #2331C22semidirect
267. #2329C22semidirect
268. #2326C22semidirect
269. #2326C22semidirect
272. #2320C22semidirect
273. #2319C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
282. #2295C22semidirect
283. #2295C22semidirect
284. #2295C22semidirect
285. C2×#391C22semidirect
286. C2×#391C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2283C22semidirect
293. #2283C22semidirect
297. C4×#117C22semidirect
298. C2×#376C22semidirect
1541. D4#542semidirect

Maximal subgroups

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

subgroupindex
#427372
#427352
#427342
#427312
#414692
#414492
#408432
#408132
#397712
#397612
#389412
#389402
#380552
#380542
#377042
#376962
#376312
#376292
#374942
#374922
#362742
#362582
D4×C4⋊Q82
D4×#1242
#359392
#358732
#357912
#357022
#352772
#352702
#346192
C2×#26402
#343342
#343102
#341232