Finite Group Databasebeta

← #7652438

Subgroups — #7652438

Order 512.

6395 conjugacy classes of subgroups.

The subgroup lattice has 1791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic
2C2×#3502C211yesmaximal, characteristic, complemented
3#42891C212yesmaximal, complemented
4#42888C212yesmaximal, complemented
5#42875C212yesmaximal, complemented
6#42814C212yesmaximal, complemented
7#42813C212yesmaximal, complemented
8#42804C212yesmaximal, complemented
9#42801C212yesmaximal, complemented
10#42793C212yesmaximal, complemented
11#42150C214yesmaximal, complemented
12#41938C214yesmaximal, complemented
13#39955C212yesmaximal, complemented
14#39955C212yesmaximal, complemented
15#39859C212yesmaximal, complemented
16#39855C212yesmaximal, complemented
17#39724C212yesmaximal, complemented
18#39173C212yesmaximal, complemented
19#39172C212yesmaximal, complemented
20#39125C212yesmaximal, complemented
21#38371C214yesmaximal, complemented
22#38370C214yesmaximal, complemented
23#35673C211yesmaximal, characteristic, complemented
24#35672C211yesmaximal, characteristic, complemented
25#35620C211yesmaximal, characteristic, complemented
26#35566C211yesmaximal, characteristic, complemented
27#35542C211yesmaximal, characteristic
28#35519C211yesmaximal, characteristic, complemented
29#35330C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic
33#34739C211yesmaximal, characteristic, complemented
34C2×#2421C211yesmaximal, characteristic, complemented
35#34254C211yesmaximal, characteristic, complemented
36#3502—216no—
37#3495—216no—
38C2×Q82C2212yescomplemented
39C2×Q82C2212yescomplemented
40C2×#557C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#557C2212yescomplemented
43C2×#557C2212yescomplemented
44C2×#557C2212yescomplemented
45C2×#557C2212yescomplemented
46C2×#556C2212yes—
47C2×#554C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#552C2214yes—
51C2×#551C2214yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2211yescharacteristic
55C2×#544C2214yes—
56C2×#542C2212yes—
57C2×#541C2212yes—
58C2×#536C2211yescharacteristic
59C2×#533C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2214yes—
62C2×#533C2211yescharacteristic
63C2×#529C2212yes—
64C2×#525C2211yescharacteristic
65C22×C22⋊Q8C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#519C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C22×C4×Q8C2211yescharacteristic
70C22×#117C2211yescharacteristic
71#2862C2212yescomplemented
72#2859C2212yescomplemented
73#2857C2212yes—
74#2853C2214yes—
75#2851C2212yes—
76#2822C2214yescomplemented
77#2821C2214yes—
78#2821C2214yescomplemented
79#2820C2214yes—
80#2721C2214yes—
81#2721C2214yescomplemented
82#2719C2214yescomplemented
83#2719C2214yescomplemented
84#2719C2214yescomplemented
85#2719C2214yescomplemented
86#2716C2214yes—
87#2716C2214yes—
88#2716C2214yes—
89#2716C2214yescomplemented
90#2716C2214yescomplemented
91#2716C2214yescomplemented
92#2713C2214yescomplemented
93#2713C2214yescomplemented
94#2713C2214yescomplemented
95#2713C2214yescomplemented
96#2694C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2694C2214yes—
100#2690C2214yes—
101#2690C2214yes—
102#2690C2214yes—
103#2690C2214yescomplemented
104#2690C2214yescomplemented
105#2690C2214yescomplemented
106#2677C2214yes—
107#2677C2214yescomplemented
108#2674C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2664C2214yes—
113#2664C2214yescomplemented
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2642C2214yescomplemented
117#2640C2214yes—
118#2637C2214yes—
119#2637C2214yescomplemented
120#2634C2214yescomplemented
121#2634C2214yescomplemented
122#2633C2214yes—
123#2632C2214yes—
124#2629C2212yes—
125#2628C2212yes—
126#2628C2214yescomplemented
127#2623C2214yes—
128#2621C2214yes—
129#2611C2214yes—
130#2611C2214yescomplemented
131#2604C2214yes—
132#2604C2214yescomplemented
133#2599C2214yes—
134#2599C2214yescomplemented
135#2584C2212yescomplemented
136#2584C2212yescomplemented
137#2582C2212yescomplemented
138#2581C2212yescomplemented
139#2581C2214yescomplemented
140#2580C2212yescomplemented
141#2568C2214yescomplemented
142#2568C2212yescomplemented
143#2567C2212yescomplemented
144#2566C2212yescomplemented
145#2565C2214yescomplemented
146#2565C2212yescomplemented
147#2563C2212yes—
148#2563C2212yescomplemented
149#2562C2212yes—
150#2562C2212yes—
151#2552C2212yescomplemented
152#2551C2212yescomplemented
153#2550C2212yescomplemented
154#2550C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2550C2212yescomplemented
158#2550C2212yescomplemented
159#2549C2214yes—
160#2549C2214yes—
161#2549C2214yes—
162#2547C2212yes—
163#2547C2214yes—
164#2546C2212yescomplemented
165#2545C2214yes—
166#2538C2212yescomplemented
167#2536C2214yes—
168#2498C2214yes—
169#2498C2214yes—
170#2492C2211yescharacteristic
171#2492C2212yes—
172#2492C2211yescharacteristic
173#2491C2211yescharacteristic
174#2491C2212yes—
175#2491C2211yescharacteristic
176#2490C2212yes—
177#2490C2211yescharacteristic
178#2490C2211yescharacteristic
179#2489C2211yescharacteristic
180#2489C2212yes—
181#2489C2211yescharacteristic
182#2488C2212yes—
183#2488C2214yes—
184#2488C2212yes—
185#2484C2214yes—
186#2482C2214yes—
187#2472C2212yes—
188#2472C2214yes—
189#2472C2212yes—
190#2450C2214yes—
191#2450C2214yes—
192#2450C2214yes—
193#2449C2214yes—
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2446C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2446C2212yescomplemented
202#2442C2211yescharacteristic
203#2442C2212yes—
204#2442C2211yescharacteristic
205#2442C2212yescomplemented
206#2442C2212yescomplemented
207#2442C2212yescomplemented
208#2441C2212yes—
209#2441C2211yescharacteristic
210#2441C2211yescharacteristic
211#2441C2212yescomplemented
212#2440C2212yes—
213#2440C2211yescharacteristic
214#2440C2211yescharacteristic
215#2440C2214yes—
216#2440C2212yescomplemented
217#2439C2211yescharacteristic
218#2439C2212yes—
219#2439C2211yescharacteristic
220#2439C2212yescomplemented
221#2439C2212yescomplemented
222#2439C2212yescomplemented
223#2438C2212yes—
224#2438C2214yes—
225#2438C2212yes—
226#2437C2212yes—
227#2437C2212yes—
228#2437C2214yes—
229#2423C2212yes—
230#2423C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2423C2212yescomplemented
234#2423C2212yescomplemented
235#2423C2212yescomplemented
236#2423C2212yescomplemented
237#2421C2212yes—
238#2421C2212yes—
239#2421C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2421C2212yes—
245#2421C2212yes—
246#2421C2212yes—
247#2421C2212yes—
248#2421C2212yes—
249#2421C2212yescomplemented
250#2421C2212yescomplemented
251#2421C2212yescomplemented
252#2421C2212yescomplemented
253#2398C2212yes—
254#2398C2212yes—
255#2396C2212yes—
256#2396C2212yes—
257C2×#400C2212yes—
258C2×#397C2212yes—
259#2356C2212yescomplemented
260#2356C2212yescomplemented
261#2355C2212yescomplemented
262#2355C2212yescomplemented
263#2343C2214yes—
264#2343C2214yes—
265#2327C2214yescomplemented
266#2326C2214yes—
267#2323C2214yes—
268#2323C2214yescomplemented
269#2320C2212yescomplemented
270#2320C2212yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2310C2211yescharacteristic
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2295C2212yescomplemented
288#2295C2212yescomplemented
289C2×#391C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#388C2212yes—
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294C2×#382C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C24×C4C2311yescharacteristic
304Q82—216no—
305Q82—216no—
306#557—216no—
307#557—216no—
308#557—216no—
309#557—216no—
310#557—216no—
311#557—216no—
312#556—216no—
313#554—216no—
314#552—216no—
315#552—216no—
316#552—232no—
317#551—232no—
318#544—28no—
319#544—28no—
320#544—28no—
321#544—232no—
322#542—216no—
323#541—216no—
324#536—28no—
325#533—216no—
326#533—28no—
327#533—28no—
328#533—232no—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2314yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347#529—216no—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2312yes—
353C2×#125C2314yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—28no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8—28no—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#120C2312yes—
406#520—28no—
407#519—28no—
408#519D4116yes—
409C2×C4×Q8—28no—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2314yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2314yes—
414C2×C4×Q8C2314yes—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2314yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×#117—28no—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2314yes—
444C2×#117C2314yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2314yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2314yes—
453C2×#117C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2311yescharacteristic
468C22×C42C2312yes—
469C22×C42C2312yes—
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2312yes—
485#400C2312yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2312yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2312yes—
504#398C2312yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2312yes—
527#398C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2312yes—
535#397C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2312yes—
551#396C2314yes—
552#396C2312yes—
553#396C2312yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2312yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2312yes—
577#393C2314yes—
578#393C2312yes—
579#393C2312yes—
580#393C2314yes—
581#393C2312yes—
582#393C2312yes—
583#393C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2314yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2314yes—
598#391C2314yes—
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2312yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2314yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2314yes—
717#387C2312yes—
718#387C2312yes—
719#387C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#384C2312yes—
745#384C2314yes—
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#383C2314yes—
752#383C2314yes—
753#382C2314yes—
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#382C2312yes—
758#382C2312yes—
759#382C2314yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2311yescharacteristic
765#382C2312yes—
766#382C2311yescharacteristic
767#382C2312yes—
768#381C2314yes—
769#381C2312yes—
770#381C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2314yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#379C2312yes—
797#379C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833#376C2312yes—
834#376C2314yes—
835#376C2314yes—
836C2×#95C2312yes—
837C2×#95C2312yes—
838C2×#95C2312yes—
839C2×#95C2312yes—
840C2×#95C2311yescharacteristic
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C43C2312yes—
845C25C2411yescharacteristic
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—24no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8C2×D418yes—
852C22×Q8C2411yescharacteristic
853C22×Q8C2412yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2414yes—
858C22×Q8C2414yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C23×C4—24no—
867C23×C4—24no—
868C23×C4—24no—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2411yescharacteristic
887C4⋊Q8—28no—
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—216no—
892C4⋊Q8—24no—
893C4⋊Q8—24no—
894C4⋊Q8—216no—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—216no—
898C4⋊Q8—216no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—216no—
902C4⋊Q8—216no—
903C4⋊Q8—28no—
904C4⋊Q8—48no—
905#126—216no—
906#126—216no—
907#126—216no—
908#126—216no—
909#125—28no—
910#125—216no—
911#125—24no—
912#125—24no—
913#125—216no—
914#125—24no—
915#125—24no—
916#125—216no—
917#125—216no—
918#125—28no—
919#125—28no—
920#125—216no—
921#125—216no—
922#125—216no—
923#125—28no—
924#125—28no—
925#125—216no—
926#125—216no—
927#125—28no—
928#124—28no—
929#124—216no—
930#124—48no—
931#124—44no—
932#124—44no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—28no—
937C22⋊Q8—28no—
938C22⋊Q8—28no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—24no—
944C22⋊Q8—24no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—44no—
955C22⋊Q8—48no—
956C22⋊Q8—44no—
957C22⋊Q8—48no—
958#121—24no—
959#121—24no—
960#120—28no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—28no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—28no—
970C4×Q8—216no—
971C4×Q8—28no—
972C4×Q8—216no—
973C4×Q8—216no—
974C4×Q8—28no—
975C4×Q8—28no—
976C4×Q8—216no—
977C4×Q8—216no—
978C4×Q8—28no—
979C4×Q8C2×D4116yes—
980C4×Q8C2×D4116yes—
981C4×Q8C2×D4116yes—
982C4×Q8C2×D4116yes—
983C4×D4—216no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—216no—
988#117—24no—
989#117—216no—
990#117—24no—
991#117—24no—
992#117—24no—
993#117—24no—
994#117—24no—
995#117—24no—
996#117—28no—
997#117—28no—
998#117—28no—
999#117—216no—
1000#117—216no—
1001#117C2×D418yes—
1002#117C2×D418yes—
1003#117C2×D4132yes—
1004C2×C4⋊C4—28no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—24no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—28no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C22⋊C4—28no—
1094C2×C22⋊C4—28no—
1095C2×C22⋊C4—42no—
1096C2×C22⋊C4—42no—
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C42—28no—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—28no—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24C2511yescharacteristic
1260C24C2512yes—
1261C24C2511yescharacteristic
1262C24C2511yescharacteristic
1263#41—416no—
1264C2×Q8—232no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—22no—
1268C2×Q8—28no—
1269C2×Q8—24no—
1270C2×Q8—28no—
1271C2×Q8—28no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—42no—
1282C2×Q8—42no—
1283C2×Q8—44no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—44no—
1287C2×Q8—44no—
1288C2×Q8—42no—
1289C2×Q8—44no—
1290C2×Q8—44no—
1291C2×Q8—42no—
1292C2×Q8—44no—
1293C2×Q8C22×D418yes—
1294C2×Q8C22×D418yes—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—41no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—416no—
1358C22×C4C22×D418yes—
1359C22×C4C22×D414yes—
1360C22×C42−1+414yes—
1361C22×C42−1+414yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2514yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—28no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—28no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—28no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4C22×D414yes—
1468C4⋊C4C22×D414yes—
1469C4⋊C4C22×D414yes—
1470C4⋊C4C22×D414yes—
1471C4⋊C4C22×D4116yes—
1472C4⋊C4C22×D4116yes—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—24no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—44no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4C22×D418yes—
1520C22⋊C4C22×D418yes—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—28no—
1525C42—22no—
1526C42—22no—
1527C42—28no—
1528C42—22no—
1529C42—22no—
1530C42—28no—
1531C42—28no—
1532C42—28no—
1533C42—24no—
1534C42—24no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—44no—
1545C42—42no—
1546C42—44no—
1547C42C22×D418yes—
1548C42C22×D4116yes—
1549C42C22×D4116yes—
1550C42C22×D418yes—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—21no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—21no—
1573C23—22no—
1574C23—21no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—82no—
1580C23—82no—
1581C23—82no—
1582C23C23×D412yes—
1583C23C2×2−1+412yes—
1584C23C2×2−1+412yes—
1585C23#58512yes—
1586C23C2611yescharacteristic
1587Q8—216no—
1588Q8—216no—
1589Q8—48no—
1590Q8—48no—
1591Q8—44no—
1592Q8—88no—
1593Q8—84no—
1594Q8—84no—
1595Q8—88no—
1596Q8—88no—
1597D4—48no—
1598D4—48no—
1599D4—44no—
1600D4—84no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—216no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—48no—
1691C2×C4—88no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—82no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—82no—
1698C2×C4—82no—
1699C2×C4#536116yes—
1700C2×C4C23×D418yes—
1701C2×C4C23×D414yes—
1702C2×C4C23×D414yes—
1703C2×C4C23×D414yes—
1704C2×C4C23×D414yes—
1705C2×C4C23×D412yes—
1706C2×C4C23×D412yes—
1707C2×C4C2×2−1+412yes—
1708C2×C4C2×2−1+412yes—
1709C2×C4C2×2−1+412yes—
1710C2×C4C2×2−1+412yes—
1711C2×C4#58512yes—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—42no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—88no—
1740C22C2×#53614yes—
1741C22C24×D411yescharacteristic
1742C22C22×2−1+411yescharacteristic
1743C22C22×2−1+411yescharacteristic
1744C22C2×#58511yescharacteristic
1745C22C2×#58511yescharacteristic
1746C222−1+611yescharacteristic
1747C222−1+611yescharacteristic
1748C4—24no—
1749C4—22no—
1750C4—24no—
1751C4—24no—
1752C4—24no—
1753C4—28no—
1754C4—41no—
1755C4—42no—
1756C4—44no—
1757C4—42no—
1758C4—41no—
1759C4—44no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4—42no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—42no—
1774C4—42no—
1775C4—41no—
1776C4—41no—
1777C4C2×#53614yes—
1778C4C2×#53614yes—
1779C2—24no—
1780C2—42no—
1781C2—82no—
1782C2—81no—
1783C2C22×#53611yescharacteristic
1784C2#6283111yescharacteristic
1785C2#6288911yescharacteristic
1786C2#6292811yescharacteristic
1787C2#6295911yescharacteristic
1788C2#6300211yescharacteristic
1789C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3502C2semidirect
3. #42891C2semidirect
4. #42888C2semidirect
5. #42875C2semidirect
6. #42814C2semidirect
7. #42813C2semidirect
8. #42804C2semidirect
9. #42801C2semidirect
10. #42793C2semidirect
11. #42150C2semidirect
12. #41938C2semidirect
13. #39955C2semidirect
14. #39955C2semidirect
15. #39859C2semidirect
16. #39855C2semidirect
17. #39724C2semidirect
18. #39173C2semidirect
19. #39172C2semidirect
20. #39125C2semidirect
21. #38371C2semidirect
22. #38370C2semidirect
23. #35673C2semidirect
24. #35672C2semidirect
25. #35620C2semidirect
26. #35566C2semidirect
28. #35519C2semidirect
29. #35330C2semidirect
30. #35253C2semidirect
31. #35182C2semidirect
33. #34739C2semidirect
34. C2×#2421C2semidirect
35. #34254C2semidirect
38. C2×Q82C22semidirect
39. C2×Q82C22semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
42. C2×#557C22semidirect
43. C2×#557C22semidirect
44. C2×#557C22semidirect
45. C2×#557C22semidirect
71. #2862C22semidirect
72. #2859C22semidirect
76. #2822C22semidirect
78. #2821C22semidirect
81. #2721C22semidirect
82. #2719C22semidirect
83. #2719C22semidirect
84. #2719C22semidirect
85. #2719C22semidirect
89. #2716C22semidirect
90. #2716C22semidirect
91. #2716C22semidirect
92. #2713C22semidirect
93. #2713C22semidirect
94. #2713C22semidirect
95. #2713C22semidirect
103. #2690C22semidirect
104. #2690C22semidirect
105. #2690C22semidirect
107. #2677C22semidirect
113. #2664C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2642C22semidirect
119. #2637C22semidirect
120. #2634C22semidirect
121. #2634C22semidirect
126. #2628C22semidirect
130. #2611C22semidirect
132. #2604C22semidirect
134. #2599C22semidirect
135. #2584C22semidirect
136. #2584C22semidirect
137. #2582C22semidirect
138. #2581C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
141. #2568C22semidirect
142. #2568C22semidirect
143. #2567C22semidirect
144. #2566C22semidirect
145. #2565C22semidirect
146. #2565C22semidirect
148. #2563C22semidirect
151. #2552C22semidirect
152. #2551C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
157. #2550C22semidirect
158. #2550C22semidirect
164. #2546C22semidirect
166. #2538C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
201. #2446C22semidirect
205. #2442C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
211. #2441C22semidirect
216. #2440C22semidirect
220. #2439C22semidirect
221. #2439C22semidirect
222. #2439C22semidirect
233. #2423C22semidirect
234. #2423C22semidirect
235. #2423C22semidirect
236. #2423C22semidirect
249. #2421C22semidirect
250. #2421C22semidirect
251. #2421C22semidirect
252. #2421C22semidirect
259. #2356C22semidirect
260. #2356C22semidirect
261. #2355C22semidirect
262. #2355C22semidirect
265. #2327C22semidirect
268. #2323C22semidirect
269. #2320C22semidirect
270. #2320C22semidirect
287. #2295C22semidirect
288. #2295C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#35022
#428912
#428882
#428752
#428142
#428132
#428042
#428012
#427932
#421502
#419382
#399552
#398592
#398552
#397242
#391732
#391722
#391252
#383712
#383702
#356732
#356722
#356202
#355662
#355422
#355192
#353302
#352532
#351822
#348132
#347392
C2×#24212
#342542