Finite Group Databasebeta

← #7650722

Subgroups — #7650722

Order 512.

6644 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic
3#42978C212yesmaximal, complemented
4#42944C212yesmaximal, complemented
5#42888C212yesmaximal, complemented
6#42814C212yesmaximal, complemented
7#42682C212yesmaximal, complemented
8#42482C212yesmaximal, complemented
9#42436C212yesmaximal, complemented
10#42423C212yesmaximal, complemented
11#41374C214yesmaximal, complemented
12#40516C214yesmaximal, complemented
13#39955C212yesmaximal, complemented
14#39952C212yesmaximal, complemented
15#39890C212yesmaximal, complemented
16#39866C212yesmaximal, complemented
17#39173C212yesmaximal, complemented
18#39122C212yesmaximal, complemented
19#38955C212yesmaximal, complemented
20#38907C212yesmaximal, complemented
21#38359C214yesmaximal, complemented
22#37838C214yesmaximal, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35618C211yesmaximal, characteristic, complemented
25#35575C211yesmaximal, characteristic, complemented
26#35566C211yesmaximal, characteristic, complemented
27#35542C211yesmaximal, characteristic, complemented
28#35516C211yesmaximal, characteristic, complemented
29#35330C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35224C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34C2×#2442C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36#3504—216no—
37#3492—216no—
38C2×#557C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#554C2214yes—
43C2×#554C2214yes—
44C2×#554C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#547C2212yes—
51C2×#547C2212yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2211yescharacteristic
55C2×#544C2212yescomplemented
56C2×#544C2212yescomplemented
57C2×#539C2214yes—
58C2×#537C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2212yescomplemented
61C22×#125C2211yescharacteristic
62C22×#125C2212yescomplemented
63C2×#525C2211yescharacteristic
64C2×#525C2214yes—
65C2×#525C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C23×C4⋊C4C2211yescharacteristic
71#2862C2212yescomplemented
72#2859C2212yescomplemented
73#2855C2212yescomplemented
74#2854C2212yescomplemented
75#2848C2214yes—
76#2822C2214yescomplemented
77#2821C2214yescomplemented
78#2817C2214yescomplemented
79#2814C2214yescomplemented
80#2719C2214yescomplemented
81#2719C2214yescomplemented
82#2719C2214yescomplemented
83#2713C2214yescomplemented
84#2698C2214yescomplemented
85#2694C2214yes—
86#2694C2214yes—
87#2694C2214yes—
88#2690C2214yes—
89#2690C2214yes—
90#2690C2214yes—
91#2690C2214yescomplemented
92#2690C2214yescomplemented
93#2690C2214yescomplemented
94#2689C2214yescomplemented
95#2689C2214yescomplemented
96#2689C2214yescomplemented
97#2687C2214yes—
98#2687C2214yes—
99#2687C2214yes—
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2687C2214yescomplemented
103#2681C2214yes—
104#2680C2214yes—
105#2680C2214yescomplemented
106#2677C2214yes—
107#2677C2214yescomplemented
108#2674C2214yes—
109#2672C2214yes—
110#2672C2214yes—
111#2672C2214yes—
112#2664C2214yescomplemented
113#2663C2214yescomplemented
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2642C2214yescomplemented
117#2638C2214yes—
118#2637C2214yescomplemented
119#2634C2214yescomplemented
120#2633C2214yes—
121#2628C2214yes—
122#2627C2214yes—
123#2627C2214yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2623C2214yescomplemented
127#2621C2214yescomplemented
128#2616C2214yes—
129#2611C2214yes—
130#2604C2214yescomplemented
131#2599C2214yes—
132#2584C2212yescomplemented
133#2584C2212yescomplemented
134#2579C2214yes—
135#2567C2212yescomplemented
136#2565C2214yescomplemented
137#2564C2214yes—
138#2563C2212yes—
139#2562C2212yes—
140#2562C2212yes—
141#2552C2212yescomplemented
142#2551C2212yescomplemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2212yescomplemented
148#2550C2212yescomplemented
149#2549C2214yes—
150#2549C2214yes—
151#2549C2214yes—
152#2547C2212yes—
153#2547C2214yes—
154#2546C2212yescomplemented
155#2536C2214yes—
156#2504C2212yescomplemented
157#2503C2212yescomplemented
158#2503C2214yescomplemented
159#2500C2212yescomplemented
160#2499C2212yescomplemented
161#2492C2211yescharacteristic
162#2492C2212yes—
163#2492C2211yescharacteristic
164#2491C2211yescharacteristic
165#2491C2212yes—
166#2491C2211yescharacteristic
167#2490C2212yes—
168#2490C2211yescharacteristic
169#2490C2211yescharacteristic
170#2489C2212yes—
171#2489C2211yescharacteristic
172#2489C2211yescharacteristic
173#2488C2212yes—
174#2488C2214yes—
175#2488C2212yes—
176#2487C2214yes—
177#2487C2212yes—
178#2486C2214yes—
179#2486C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2472C2212yes—
183#2472C2214yes—
184#2472C2212yes—
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2453C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2212yescomplemented
191#2452C2212yescomplemented
192#2451C2212yescomplemented
193#2444C2214yes—
194#2444C2214yes—
195#2444C2214yes—
196#2443C2214yes—
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yes—
209#2442C2212yescomplemented
210#2442C2212yescomplemented
211#2442C2212yescomplemented
212#2441C2212yescomplemented
213#2441C2212yescomplemented
214#2441C2212yescomplemented
215#2440C2212yes—
216#2440C2212yes—
217#2440C2214yes—
218#2440C2212yes—
219#2440C2212yes—
220#2440C2212yescomplemented
221#2439C2212yescomplemented
222#2432C2214yes—
223#2423C2212yes—
224#2423C2211yescharacteristic
225#2423C2211yescharacteristic
226#2423C2212yescomplemented
227#2422C2212yes—
228#2422C2211yescharacteristic
229#2422C2211yescharacteristic
230#2422C2212yescomplemented
231#2421C2211yescharacteristic
232#2421C2212yes—
233#2421C2211yescharacteristic
234#2421C2212yescomplemented
235#2421C2212yescomplemented
236#2421C2212yescomplemented
237#2420C2211yescharacteristic
238#2420C2211yescharacteristic
239#2420C2212yes—
240#2420C2212yescomplemented
241#2420C2212yescomplemented
242#2420C2212yescomplemented
243#2419C2212yes—
244#2419C2214yes—
245#2419C2212yes—
246#2418C2212yes—
247#2418C2212yes—
248#2418C2214yes—
249#2417C2214yes—
250#2415C2214yes—
251#2413C2214yescomplemented
252#2406C2214yes—
253#2398C2212yes—
254#2398C2212yes—
255#2395C2212yes—
256#2395C2212yes—
257C2×#400C2212yes—
258C2×#398C2212yes—
259#2353C2214yes—
260#2352C2214yes—
261#2347C2212yescomplemented
262#2346C2212yescomplemented
263#2345C2212yescomplemented
264#2344C2212yescomplemented
265#2326C2214yes—
266#2323C2214yes—
267#2322C2214yes—
268#2320C2212yescomplemented
269#2319C2212yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2214yes—
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×#123C2212yes—
282C4×#123C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2295C2212yescomplemented
288#2293C2212yescomplemented
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#385C2212yes—
292#2285C2211yescharacteristic
293C2×#382C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2212yes—
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306#557—216no—
307#557—216no—
308#554—216no—
309#554—232no—
310#554—232no—
311#554—216no—
312#554—216no—
313#554—216no—
314#553—216no—
315#553—216no—
316#552—216no—
317#552—216no—
318#547—216no—
319#547—216no—
320#544—28no—
321#544—28no—
322#544—216no—
323#544—28no—
324#544—216no—
325#539—232no—
326#537—28no—
327#533—28no—
328#533—216no—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2314yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#125—28no—
343C2×#125—216no—
344C2×#125C2312yes—
345C2×#125C2314yes—
346C2×#125C2314yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2311yescharacteristic
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365#525—28no—
366#525—232no—
367#525—28no—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#121C2314yes—
406C2×#121C2311yescharacteristic
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411#520—28no—
412#520—28no—
413#520D4116yes—
414C4×#41—28no—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2314yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2314yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C22×C4⋊C4—28no—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2314yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2314yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2312yes—
474C22×C42C2312yes—
475C22×C42C2311yescharacteristic
476C22×C42C2311yescharacteristic
477#400C2312yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2312yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#400C2312yes—
494#400C2314yes—
495#400C2312yes—
496#400C2314yes—
497#400C2312yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2312yes—
504#399C2312yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2312yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
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#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2314yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2314yes—
550#397C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2312yes—
586#393C2312yes—
587#393C2312yes—
588#393C2312yes—
589#391C2314yes—
590#391C2314yes—
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2314yes—
595#391C2312yes—
596#391C2314yes—
597#391C2311yescharacteristic
598#391C2314yes—
599#391C2314yes—
600#391C2311yescharacteristic
601#391C2314yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#389C2311yescharacteristic
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#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#384C2314yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#383C2314yes—
744#382C2314yes—
745#382C2312yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2312yes—
761#381C2312yes—
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#381C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#379C2312yes—
799#379C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835#376C2312yes—
836#376C2314yes—
837C2×#95C2312yes—
838C2×#95C2311yescharacteristic
839C2×#95C2312yes—
840C2×#95C2312yes—
841C2×#95C2311yescharacteristic
842C2×#95C2312yes—
843C2×#95C2312yes—
844C43C2312yes—
845C25C2411yescharacteristic
846C2×#41—24no—
847C2×#41—216no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—48no—
853C2×#41—84no—
854C2×#41C2×D418yes—
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2414yes—
858C22×Q8C2412yes—
859C22×Q8C2414yes—
860C22×Q8C2412yes—
861C22×Q8C2414yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2414yes—
871C23×C4—24no—
872C23×C4—24no—
873C23×C4—24no—
874C23×C4—28no—
875C23×C4—44no—
876C23×C4—82no—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—24no—
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—216no—
907C4⋊Q8—28no—
908C4⋊Q8—216no—
909C4⋊Q8—28no—
910C4⋊Q8—84no—
911#126—216no—
912#126—216no—
913#125—28no—
914#125—24no—
915#125—28no—
916#125—28no—
917#125—28no—
918#125—28no—
919#125—28no—
920#125—216no—
921#125—216no—
922#125—24no—
923#125—216no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—28no—
929#125—216no—
930#125—28no—
931#124—48no—
932#124—44no—
933#124—44no—
934#123—28no—
935#123—216no—
936#123—216no—
937#123—28no—
938#123—216no—
939#123—216no—
940#123—44no—
941#123—44no—
942#123—48no—
943#123—84no—
944C22⋊Q8—24no—
945C22⋊Q8—24no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—216no—
949C22⋊Q8—216no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—24no—
953C22⋊Q8—216no—
954C22⋊Q8—24no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—48no—
965C22⋊Q8—84no—
966C22⋊Q8—84no—
967#121—216no—
968#121—24no—
969#121—24no—
970#121—28no—
971#121—28no—
972#121—24no—
973#121—24no—
974#121—216no—
975#120—28no—
976#120—28no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—216no—
982C4×Q8—216no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8C2×D4116yes—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—216no—
991C4×D4—28no—
992C4×D4—216no—
993C4×D4—28no—
994C4×D4—216no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—216no—
999C4×D4—28no—
1000C4×D4C2×D4132yes—
1001C4×D4C2×D4116yes—
1002#117—28no—
1003#117—24no—
1004#117—24no—
1005#117—28no—
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009#117—28no—
1010#117—216no—
1011#117—84no—
1012#117C2×D418yes—
1013#117C2×D4116yes—
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—28no—
1016C2×C4⋊C4—28no—
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4—28no—
1019C2×C4⋊C4—28no—
1020C2×C4⋊C4—216no—
1021C2×C4⋊C4—216no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—82no—
1029C2×C4⋊C4—82no—
1030C2×C4⋊C4C2×D418yes—
1031C2×C4⋊C4C2×D4116yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C42—28no—
1166C2×C42—24no—
1167C2×C42—24no—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2412yes—
1191C2×C42C2414yes—
1192C2×C42C2412yes—
1193#95C2414yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—41no—
1267C24—41no—
1268C24C2512yes—
1269C24C2512yes—
1270C24C2511yescharacteristic
1271C24C2511yescharacteristic
1272C24C2511yescharacteristic
1273#41—232no—
1274#41—416no—
1275#41—832no—
1276C2×Q8—22no—
1277C2×Q8—28no—
1278C2×Q8—24no—
1279C2×Q8—28no—
1280C2×Q8—24no—
1281C2×Q8—28no—
1282C2×Q8—22no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—44no—
1287C2×Q8—44no—
1288C2×Q8—42no—
1289C2×Q8—44no—
1290C2×Q8—42no—
1291C2×Q8—42no—
1292C2×Q8—44no—
1293C2×Q8—42no—
1294C2×Q8—44no—
1295C2×Q8—44no—
1296C2×Q8C22×D414yes—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4C22×D418yes—
1323C2×D4C22×D414yes—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—28no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—28no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—41no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—416no—
1388C22×C4—816no—
1389C22×C4C22×D418yes—
1390C22×C4C22×D418yes—
1391C22×C4C22×D4116yes—
1392C22×C4C22×D414yes—
1393C22×C42−1+414yes—
1394C22×C42−1+414yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—28no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4C22×D418yes—
1494C4⋊C4C22×D418yes—
1495C4⋊C4C22×D414yes—
1496C4⋊C4C22×D4116yes—
1497C4⋊C4C22×D414yes—
1498C22⋊C4—24no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—28no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—44no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4C22×D418yes—
1554C22⋊C4C22×D4116yes—
1555C42—22no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—22no—
1562C42—28no—
1563C42—24no—
1564C42—28no—
1565C42—24no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—24no—
1571C42—24no—
1572C42—42no—
1573C42—42no—
1574C42—44no—
1575C42—44no—
1576C42—42no—
1577C42—42no—
1578C42C22×D4116yes—
1579C42C22×D418yes—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—28no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23C23×D414yes—
1617C23C23×D412yes—
1618C23C2×2−1+412yes—
1619C23C2×2−1+412yes—
1620C23#58512yes—
1621C23#58512yes—
1622C23C2611yescharacteristic
1623Q8—28no—
1624Q8—44no—
1625Q8—88no—
1626Q8—84no—
1627Q8—88no—
1628Q8—84no—
1629Q8—88no—
1630D4—216no—
1631D4—28no—
1632D4—48no—
1633D4—48no—
1634D4—48no—
1635D4—48no—
1636D4—48no—
1637D4—44no—
1638D4—88no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—216no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—48no—
1721C2×C4—416no—
1722C2×C4—416no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—88no—
1730C2×C4—88no—
1731C2×C4—82no—
1732C2×C4—84no—
1733C2×C4—82no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—82no—
1738C2×C4—82no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4#536116yes—
1742C2×C4C23×D414yes—
1743C2×C4C23×D418yes—
1744C2×C4C23×D414yes—
1745C2×C4C23×D414yes—
1746C2×C4C23×D412yes—
1747C2×C4C23×D412yes—
1748C2×C4C2×2−1+412yes—
1749C2×C4C2×2−1+412yes—
1750C2×C4C2×2−1+412yes—
1751C2×C4C2×2−1+412yes—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—24no—
1766C22—22no—
1767C22—416no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—41no—
1774C22—42no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22C2×#53614yes—
1788C22C24×D411yescharacteristic
1789C22C22×2−1+411yescharacteristic
1790C22C22×2−1+411yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22H(7,𝔽2)11yescharacteristic
1794C222−1+611yescharacteristic
1795C4—28no—
1796C4—24no—
1797C4—24no—
1798C4—24no—
1799C4—44no—
1800C4—41no—
1801C4—42no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—44no—
1807C4—42no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—44no—
1823C4C2×#53614yes—
1824C4C2×#53614yes—
1825C2—24no—
1826C2—44no—
1827C2—42no—
1828C2—42no—
1829C2—82no—
1830C2C22×#53611yescharacteristic
1831C2#6282511yescharacteristic
1832C2#6287711yescharacteristic
1833C2#6292811yescharacteristic
1834C2#6295811yescharacteristic
1835C2#6298711yescharacteristic
1836C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3492C2
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. #42978C2semidirect
4. #42944C2semidirect
5. #42888C2semidirect
6. #42814C2semidirect
7. #42682C2semidirect
8. #42482C2semidirect
9. #42436C2semidirect
10. #42423C2semidirect
11. #41374C2semidirect
12. #40516C2semidirect
13. #39955C2semidirect
14. #39952C2semidirect
15. #39890C2semidirect
16. #39866C2semidirect
17. #39173C2semidirect
18. #39122C2semidirect
19. #38955C2semidirect
20. #38907C2semidirect
21. #38359C2semidirect
22. #37838C2semidirect
23. #35639C2semidirect
24. #35618C2semidirect
25. #35575C2semidirect
26. #35566C2semidirect
27. #35542C2semidirect
28. #35516C2semidirect
29. #35330C2semidirect
30. #35255C2semidirect
31. #35224C2semidirect
32. #34813C2semidirect
33. #34742C2semidirect
34. C2×#2442C2semidirect
35. #34253C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
55. C2×#544C22semidirect
56. C2×#544C22semidirect
60. C2×#533C22semidirect
62. C22×#125C22semidirect
71. #2862C22semidirect
72. #2859C22semidirect
73. #2855C22semidirect
74. #2854C22semidirect
76. #2822C22semidirect
77. #2821C22semidirect
78. #2817C22semidirect
79. #2814C22semidirect
80. #2719C22semidirect
81. #2719C22semidirect
82. #2719C22semidirect
83. #2713C22semidirect
84. #2698C22semidirect
91. #2690C22semidirect
92. #2690C22semidirect
93. #2690C22semidirect
94. #2689C22semidirect
95. #2689C22semidirect
96. #2689C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2687C22semidirect
105. #2680C22semidirect
107. #2677C22semidirect
112. #2664C22semidirect
113. #2663C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2642C22semidirect
118. #2637C22semidirect
119. #2634C22semidirect
123. #2627C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
126. #2623C22semidirect
127. #2621C22semidirect
130. #2604C22semidirect
132. #2584C22semidirect
133. #2584C22semidirect
135. #2567C22semidirect
136. #2565C22semidirect
141. #2552C22semidirect
142. #2551C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
154. #2546C22semidirect
156. #2504C22semidirect
157. #2503C22semidirect
158. #2503C22semidirect
159. #2500C22semidirect
160. #2499C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2453C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
191. #2452C22semidirect
192. #2451C22semidirect
209. #2442C22semidirect
210. #2442C22semidirect
211. #2442C22semidirect
212. #2441C22semidirect
213. #2441C22semidirect
214. #2441C22semidirect
220. #2440C22semidirect
221. #2439C22semidirect
226. #2423C22semidirect
230. #2422C22semidirect
234. #2421C22semidirect
235. #2421C22semidirect
236. #2421C22semidirect
240. #2420C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
251. #2413C22semidirect
261. #2347C22semidirect
262. #2346C22semidirect
263. #2345C22semidirect
264. #2344C22semidirect
268. #2320C22semidirect
269. #2319C22semidirect
287. #2295C22semidirect
288. #2293C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#34922
#429782
#429442
#428882
#428142
#426822
#424822
#424362
#424232
#413742
#405162
#399552
#399522
#398902
#398662
#391732
#391222
#389552
#389072
#383592
#378382
#356392
#356182
#355752
#355662
#355422
#355162
#353302
#352552
#352242
#348132
#347422
C2×#24422
#342532