Finite Group Databasebeta

← #7650831

Subgroups — #7650831

Order 512.

6413 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C2×#3495C211yesmaximal, characteristic
3#42964C212yesmaximal, complemented
4#42915C212yesmaximal, complemented
5#42879C212yesmaximal, complemented
6#42801C212yesmaximal, complemented
7#42647C212yesmaximal, complemented
8#42644C212yesmaximal, complemented
9#42442C212yesmaximal, complemented
10#42436C212yesmaximal, complemented
11#41412C214yesmaximal, complemented
12#41411C214yesmaximal, complemented
13#39890C212yesmaximal, complemented
14#39880C212yesmaximal, complemented
15#39867C212yesmaximal, complemented
16#39855C212yesmaximal, complemented
17#39724C212yesmaximal, complemented
18#39122C212yesmaximal, complemented
19#38921C212yesmaximal, complemented
20#38919C212yesmaximal, complemented
21#38422C214yesmaximal, complemented
22#37865C214yesmaximal, complemented
23#35668C211yesmaximal, characteristic, complemented
24#35662C211yesmaximal, characteristic, complemented
25#35644C211yesmaximal, characteristic, complemented
26#35640C211yesmaximal, characteristic, complemented
27#35619C211yesmaximal, characteristic, complemented
28#35516C211yesmaximal, characteristic
29#35307C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35167C211yesmaximal, characteristic, complemented
32C2×#2489C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic
34#34739C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36#3504—216no—
37#3495—216no—
38C2×#557C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#556C2212yes—
41C2×#554C2214yes—
42C2×#554C2212yes—
43C2×#554C2214yes—
44C2×#554C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×#552C2212yes—
49C2×#551C2214yes—
50C2×#544C2211yescharacteristic
51C2×#544C2211yescharacteristic
52C2×#544C2211yescharacteristic
53C2×#544C2212yescomplemented
54C2×#544C2212yescomplemented
55C2×#542C2212yes—
56C2×#541C2212yes—
57C2×#536C2211yescharacteristic
58C2×#533C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yescomplemented
61C2×#529C2212yes—
62C22×#125C2211yescharacteristic
63C22×#125C2212yescomplemented
64C2×#525C2211yescharacteristic
65C22×C22⋊Q8C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C22×#117C2211yescharacteristic
71#2857C2212yes—
72#2857C2214yes—
73#2855C2212yescomplemented
74#2855C2212yescomplemented
75#2851C2212yes—
76#2822C2214yescomplemented
77#2821C2214yes—
78#2817C2214yescomplemented
79#2814C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2721C2214yes—
83#2719C2214yescomplemented
84#2719C2214yescomplemented
85#2719C2214yescomplemented
86#2719C2214yescomplemented
87#2719C2214yescomplemented
88#2719C2214yescomplemented
89#2716C2214yes—
90#2713C2214yescomplemented
91#2713C2214yescomplemented
92#2700C2214yes—
93#2700C2214yes—
94#2700C2214yes—
95#2698C2214yescomplemented
96#2698C2214yescomplemented
97#2698C2214yescomplemented
98#2698C2214yescomplemented
99#2698C2214yescomplemented
100#2698C2214yescomplemented
101#2690C2214yes—
102#2690C2214yes—
103#2690C2214yes—
104#2689C2214yescomplemented
105#2689C2214yescomplemented
106#2687C2214yes—
107#2680C2214yes—
108#2680C2214yes—
109#2680C2214yes—
110#2677C2214yes—
111#2674C2214yes—
112#2664C2214yes—
113#2663C2214yes—
114#2660C2214yescomplemented
115#2659C2214yes—
116#2638C2214yes—
117#2637C2214yes—
118#2634C2214yescomplemented
119#2634C2214yescomplemented
120#2629C2212yes—
121#2628C2212yes—
122#2627C2214yescomplemented
123#2625C2214yescomplemented
124#2625C2212yescomplemented
125#2625C2212yescomplemented
126#2623C2214yes—
127#2621C2214yes—
128#2621C2214yescomplemented
129#2611C2214yes—
130#2604C2214yes—
131#2599C2214yes—
132#2583C2214yes—
133#2582C2212yescomplemented
134#2582C2212yescomplemented
135#2581C2214yescomplemented
136#2581C2212yescomplemented
137#2581C2212yescomplemented
138#2568C2212yescomplemented
139#2568C2214yescomplemented
140#2567C2212yescomplemented
141#2565C2212yescomplemented
142#2565C2214yescomplemented
143#2565C2212yescomplemented
144#2561C2214yes—
145#2552C2212yescomplemented
146#2552C2212yescomplemented
147#2552C2212yescomplemented
148#2552C2212yescomplemented
149#2552C2212yescomplemented
150#2552C2212yescomplemented
151#2551C2212yescomplemented
152#2551C2212yescomplemented
153#2550C2212yescomplemented
154#2550C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2550C2212yescomplemented
158#2550C2212yescomplemented
159#2550C2212yescomplemented
160#2550C2212yescomplemented
161#2503C2214yes—
162#2503C2212yescomplemented
163#2503C2214yescomplemented
164#2502C2214yes—
165#2502C2212yescomplemented
166#2499C2212yescomplemented
167#2499C2212yescomplemented
168#2499C2214yescomplemented
169#2492C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2492C2212yes—
173#2489C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2489C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2487C2212yes—
186#2486C2214yes—
187#2486C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2484C2214yescomplemented
191#2453C2212yescomplemented
192#2453C2212yescomplemented
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2451C2212yescomplemented
196#2451C2212yescomplemented
197#2451C2212yescomplemented
198#2451C2212yescomplemented
199#2447C2212yescomplemented
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2212yescomplemented
203#2446C2212yescomplemented
204#2446C2212yescomplemented
205#2446C2212yescomplemented
206#2446C2212yescomplemented
207#2442C2211yescharacteristic
208#2442C2211yescharacteristic
209#2442C2212yes—
210#2441C2211yescharacteristic
211#2441C2212yes—
212#2441C2211yescharacteristic
213#2440C2211yescharacteristic
214#2440C2211yescharacteristic
215#2440C2212yes—
216#2439C2211yescharacteristic
217#2439C2211yescharacteristic
218#2439C2212yes—
219#2438C2214yes—
220#2438C2214yes—
221#2438C2214yes—
222#2438C2214yes—
223#2438C2212yes—
224#2438C2212yes—
225#2438C2214yes—
226#2437C2212yes—
227#2437C2214yes—
228#2437C2212yes—
229#2423C2212yes—
230#2423C2211yescharacteristic
231#2423C2211yescharacteristic
232#2422C2211yescharacteristic
233#2422C2212yes—
234#2422C2211yescharacteristic
235#2421C2211yescharacteristic
236#2421C2212yes—
237#2421C2211yescharacteristic
238#2420C2211yescharacteristic
239#2420C2212yes—
240#2420C2211yescharacteristic
241#2419C2214yes—
242#2419C2214yes—
243#2419C2214yes—
244#2419C2212yes—
245#2419C2212yes—
246#2419C2214yes—
247#2419C2214yes—
248#2418C2212yes—
249#2418C2214yes—
250#2418C2212yes—
251#2415C2214yes—
252#2413C2214yes—
253#2396C2212yes—
254#2396C2212yes—
255#2395C2212yes—
256#2395C2212yes—
257C2×#400C2212yes—
258C2×#397C2212yes—
259#2357C2212yescomplemented
260#2356C2212yescomplemented
261#2355C2212yescomplemented
262#2354C2212yescomplemented
263#2347C2212yescomplemented
264#2346C2212yescomplemented
265#2345C2212yescomplemented
266#2344C2212yescomplemented
267#2327C2214yescomplemented
268#2323C2214yes—
269#2322C2214yes—
270#2318C2214yes—
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2214yescomplemented
275#2316C2211yescharacteristic
276#2316C2211yescharacteristic
277#2311C2211yescharacteristic
278#2310C2211yescharacteristic
279#2310C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#391C2211yescharacteristic
290#2290C2214yes—
291C2×#388C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#382C2212yes—
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C24×C4C2311yescharacteristic
304#557—216no—
305#557—216no—
306#556—216no—
307#554—232no—
308#554—232no—
309#554—216no—
310#554—216no—
311#554—216no—
312#552—232no—
313#552—216no—
314#552—216no—
315#551—232no—
316#544—28no—
317#544—216no—
318#544—28no—
319#544—28no—
320#544—216no—
321#542—216no—
322#541—216no—
323#536—28no—
324#533—216no—
325#533—28no—
326#533—216no—
327C2×C4⋊Q8C2314yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339#529—216no—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#125—28no—
345C2×#125—216no—
346C2×#125C2312yes—
347C2×#125C2314yes—
348C2×#125C2314yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2311yescharacteristic
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367#525—28no—
368C2×#123C2314yes—
369C2×#123C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×C22⋊Q8—28no—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×#121C2311yescharacteristic
401C2×#121C2311yescharacteristic
402C2×#120C2312yes—
403#520—28no—
404#520D4116yes—
405#519—28no—
406C4×#41—28no—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2314yes—
410C2×C4×Q8C2314yes—
411C2×C4×Q8C2314yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×#117—28no—
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2314yes—
439C2×#117C2314yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2314yes—
446C2×#117C2312yes—
447C2×#117C2314yes—
448C2×#117C2311yescharacteristic
449C2×#117C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2314yes—
453C22×C4⋊C4C2314yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2311yescharacteristic
467C22×C42C2312yes—
468C22×C42C2312yes—
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2312yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#400C2314yes—
480#400C2314yes—
481#400C2312yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2312yes—
492#400C2314yes—
493#400C2312yes—
494#399C2312yes—
495#399C2314yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2314yes—
500#398C2312yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2312yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2312yes—
528#398C2312yes—
529#398C2314yes—
530#398C2312yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2314yes—
542#397C2312yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2312yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2312yes—
552#397C2312yes—
553#397C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#396C2312yes—
560#395C2312yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2312yes—
582#393C2314yes—
583#393C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2312yes—
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
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#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2314yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2314yes—
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#384C2314yes—
745#384C2314yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#383C2314yes—
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2314yes—
752#382C2314yes—
753#382C2311yescharacteristic
754#382C2314yes—
755#382C2314yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2314yes—
760#382C2314yes—
761#382C2311yescharacteristic
762#382C2311yescharacteristic
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2312yes—
772#381C2312yes—
773#381C2312yes—
774#381C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2311yescharacteristic
799#379C2312yes—
800#379C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836#376C2314yes—
837C2×#95C2312yes—
838C2×#95C2312yes—
839C2×#95C2312yes—
840C2×#95C2311yescharacteristic
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C2×#95C2312yes—
845C25C2411yescharacteristic
846C2×#41—24no—
847C2×#41—24no—
848C2×#41C2×D418yes—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8C2412yes—
853C22×Q8C2412yes—
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2414yes—
857C22×Q8C2412yes—
858C22×Q8C2414yes—
859C22×Q8C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C23×C4—24no—
865C23×C4—24no—
866C23×C4—24no—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2411yescharacteristic
888C4⋊Q8—28no—
889C4⋊Q8—28no—
890C4⋊Q8—24no—
891C4⋊Q8—28no—
892C4⋊Q8—24no—
893C4⋊Q8—28no—
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—216no—
897C4⋊Q8—28no—
898C4⋊Q8—216no—
899C4⋊Q8—48no—
900#126—216no—
901#126—216no—
902#126—216no—
903#126—216no—
904#125—24no—
905#125—28no—
906#125—28no—
907#125—28no—
908#125—28no—
909#125—28no—
910#125—28no—
911#125—216no—
912#125—216no—
913#125—28no—
914#125—24no—
915#125—216no—
916#125—216no—
917#125—28no—
918#125—28no—
919#125—216no—
920#125—216no—
921#125—28no—
922#125—216no—
923#124—28no—
924#124—216no—
925#123—28no—
926#123—216no—
927#123—216no—
928#123—216no—
929#123—44no—
930#123—48no—
931#123—44no—
932C22⋊Q8—24no—
933C22⋊Q8—24no—
934C22⋊Q8—28no—
935C22⋊Q8—28no—
936C22⋊Q8—216no—
937C22⋊Q8—216no—
938C22⋊Q8—216no—
939C22⋊Q8—216no—
940C22⋊Q8—216no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—216no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—216no—
949C22⋊Q8—216no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—44no—
954C22⋊Q8—48no—
955C22⋊Q8—44no—
956#121—24no—
957#121—24no—
958#120—28no—
959C4×Q8—24no—
960C4×Q8—24no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—28no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—216no—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—216no—
970C4×Q8—216no—
971C4×Q8C2×D4116yes—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—216no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—216no—
981C4×D4C2×D4116yes—
982C4×D4C2×D4132yes—
983#117—24no—
984#117—28no—
985#117—24no—
986#117—24no—
987#117—28no—
988#117—24no—
989#117—216no—
990#117—24no—
991#117—24no—
992#117—24no—
993#117—24no—
994#117—28no—
995#117—216no—
996#117—28no—
997#117—216no—
998#117—48no—
999#117C2×D418yes—
1000#117C2×D4116yes—
1001C2×C4⋊C4—28no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—28no—
1004C2×C4⋊C4—28no—
1005C2×C4⋊C4—28no—
1006C2×C4⋊C4—216no—
1007C2×C4⋊C4—216no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4C2×D418yes—
1012C2×C4⋊C4C2×D4116yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C22⋊C4—28no—
1097C2×C22⋊C4—28no—
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—44no—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C42—28no—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—28no—
1150C2×C42—44no—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
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#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
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—232no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—28no—
1267C2×Q8—24no—
1268C2×Q8—28no—
1269C2×Q8—24no—
1270C2×Q8—28no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—42no—
1278C2×Q8—44no—
1279C2×Q8—42no—
1280C2×Q8—44no—
1281C2×Q8—44no—
1282C2×Q8—44no—
1283C2×Q8—44no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—44no—
1287C2×Q8—416no—
1288C2×Q8C22×D414yes—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4C22×D418yes—
1300C2×D4C22×D414yes—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
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—24no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—41no—
1352C22×C4—44no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—416no—
1359C22×C4C22×D418yes—
1360C22×C4C22×D418yes—
1361C22×C4C22×D4116yes—
1362C22×C4C22×D414yes—
1363C22×C42−1+414yes—
1364C22×C42−1+414yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2514yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4C22×D414yes—
1475C4⋊C4C22×D414yes—
1476C4⋊C4C22×D418yes—
1477C4⋊C4C22×D418yes—
1478C4⋊C4C22×D4116yes—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—28no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—24no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—44no—
1510C22⋊C4—41no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4C22×D418yes—
1523C22⋊C4C22×D4116yes—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—22no—
1530C42—24no—
1531C42—24no—
1532C42—22no—
1533C42—22no—
1534C42—28no—
1535C42—28no—
1536C42—24no—
1537C42—28no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—24no—
1544C42—24no—
1545C42—28no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42C22×D418yes—
1550C42C22×D4116yes—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—21no—
1564C23—22no—
1565C23—22no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—82no—
1579C23—82no—
1580C23—82no—
1581C23C23×D414yes—
1582C23C23×D412yes—
1583C23C2×2−1+412yes—
1584C23C2×2−1+412yes—
1585C23#58512yes—
1586C23C2611yescharacteristic
1587Q8—28no—
1588Q8—48no—
1589Q8—48no—
1590Q8—84no—
1591Q8—88no—
1592Q8—88no—
1593Q8—88no—
1594Q8—84no—
1595D4—216no—
1596D4—28no—
1597D4—48no—
1598D4—84no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—216no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—416no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—84no—
1693C2×C4—82no—
1694C2×C4—84no—
1695C2×C4—82no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—88no—
1699C2×C4—84no—
1700C2×C4—82no—
1701C2×C4#536116yes—
1702C2×C4C23×D414yes—
1703C2×C4C23×D414yes—
1704C2×C4C23×D414yes—
1705C2×C4C23×D418yes—
1706C2×C4C23×D412yes—
1707C2×C4C23×D412yes—
1708C2×C4C2×2−1+412yes—
1709C2×C4C2×2−1+412yes—
1710C2×C4C2×2−1+412yes—
1711C2×C4C2×2−1+412yes—
1712C2×C4#58512yes—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—24no—
1720C22—22no—
1721C22—24no—
1722C22—22no—
1723C22—22no—
1724C22—24no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—88no—
1741C22C2×#53614yes—
1742C22C24×D411yescharacteristic
1743C22C22×2−1+411yescharacteristic
1744C22C22×2−1+411yescharacteristic
1745C22C2×#58511yescharacteristic
1746C22C2×#58511yescharacteristic
1747C222−1+611yescharacteristic
1748C222−1+611yescharacteristic
1749C4—24no—
1750C4—28no—
1751C4—24no—
1752C4—22no—
1753C4—24no—
1754C4—41no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—41no—
1762C4—44no—
1763C4—42no—
1764C4—41no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—44no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—44no—
1778C4C2×#53614yes—
1779C4C2×#53614yes—
1780C2—24no—
1781C2—44no—
1782C2—42no—
1783C2—81no—
1784C2C22×#53611yescharacteristic
1785C2#6283111yescharacteristic
1786C2#6288911yescharacteristic
1787C2#6292811yescharacteristic
1788C2#6292811yescharacteristic
1789C2#6298811yescharacteristic
1790C2#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
1. C2×#3504C2semidirect
3. #42964C2semidirect
4. #42915C2semidirect
5. #42879C2semidirect
6. #42801C2semidirect
7. #42647C2semidirect
8. #42644C2semidirect
9. #42442C2semidirect
10. #42436C2semidirect
11. #41412C2semidirect
12. #41411C2semidirect
13. #39890C2semidirect
14. #39880C2semidirect
15. #39867C2semidirect
16. #39855C2semidirect
17. #39724C2semidirect
18. #39122C2semidirect
19. #38921C2semidirect
20. #38919C2semidirect
21. #38422C2semidirect
22. #37865C2semidirect
23. #35668C2semidirect
24. #35662C2semidirect
25. #35644C2semidirect
26. #35640C2semidirect
27. #35619C2semidirect
29. #35307C2semidirect
30. #35253C2semidirect
31. #35167C2semidirect
32. C2×#2489C2semidirect
34. #34739C2semidirect
35. #34252C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
53. C2×#544C22semidirect
54. C2×#544C22semidirect
60. C2×#533C22semidirect
63. C22×#125C22semidirect
73. #2855C22semidirect
74. #2855C22semidirect
76. #2822C22semidirect
78. #2817C22semidirect
83. #2719C22semidirect
84. #2719C22semidirect
85. #2719C22semidirect
86. #2719C22semidirect
87. #2719C22semidirect
88. #2719C22semidirect
90. #2713C22semidirect
91. #2713C22semidirect
95. #2698C22semidirect
96. #2698C22semidirect
97. #2698C22semidirect
98. #2698C22semidirect
99. #2698C22semidirect
100. #2698C22semidirect
104. #2689C22semidirect
105. #2689C22semidirect
114. #2660C22semidirect
118. #2634C22semidirect
119. #2634C22semidirect
122. #2627C22semidirect
123. #2625C22semidirect
124. #2625C22semidirect
125. #2625C22semidirect
128. #2621C22semidirect
133. #2582C22semidirect
134. #2582C22semidirect
135. #2581C22semidirect
136. #2581C22semidirect
137. #2581C22semidirect
138. #2568C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2565C22semidirect
142. #2565C22semidirect
143. #2565C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
147. #2552C22semidirect
148. #2552C22semidirect
149. #2552C22semidirect
150. #2552C22semidirect
151. #2551C22semidirect
152. #2551C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
157. #2550C22semidirect
158. #2550C22semidirect
159. #2550C22semidirect
160. #2550C22semidirect
162. #2503C22semidirect
163. #2503C22semidirect
165. #2502C22semidirect
166. #2499C22semidirect
167. #2499C22semidirect
168. #2499C22semidirect
190. #2484C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2451C22semidirect
196. #2451C22semidirect
197. #2451C22semidirect
198. #2451C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2446C22semidirect
204. #2446C22semidirect
205. #2446C22semidirect
206. #2446C22semidirect
259. #2357C22semidirect
260. #2356C22semidirect
261. #2355C22semidirect
262. #2354C22semidirect
263. #2347C22semidirect
264. #2346C22semidirect
265. #2345C22semidirect
266. #2344C22semidirect
267. #2327C22semidirect
274. #2317C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#34952
#429642
#429152
#428792
#428012
#426472
#426442
#424422
#424362
#414122
#414112
#398902
#398802
#398672
#398552
#397242
#391222
#389212
#389192
#384222
#378652
#356682
#356622
#356442
#356402
#356192
#355162
#353072
#352532
#351672
C2×#24892
#347422
#347392
#342522