Finite Group Databasebeta

← #7715664

Subgroups — #7715664

Order 512.

6256 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×#3458C211yesmaximal, characteristic, complemented
3#50169C212yesmaximal, complemented
4#50168C212yesmaximal, complemented
5#49568C214yesmaximal, complemented
6#48779C212yesmaximal, complemented
7#48778C212yesmaximal, complemented
8#47855C214yesmaximal, complemented
9#47822C214yesmaximal, complemented
10#47799C214yesmaximal, complemented
11#47769C214yesmaximal, complemented
12#47717C214yesmaximal, complemented
13#39727C212yesmaximal, complemented
14#39724C212yesmaximal, complemented
15#39719C212yesmaximal, complemented
16#39719C212yesmaximal, complemented
17#39599C212yesmaximal, complemented
18#39597C212yesmaximal, complemented
19#39591C212yesmaximal, complemented
20#39590C212yesmaximal, complemented
21#37641C211yesmaximal, characteristic, complemented
22#37551C211yesmaximal, characteristic, complemented
23#37377C212yesmaximal, complemented
24#37275C212yesmaximal, complemented
25#35325C211yesmaximal, characteristic, complemented
26#35310C212yesmaximal, complemented
27#35302C211yesmaximal, characteristic
28#35260C212yesmaximal
29#34373C211yesmaximal, characteristic, complemented
30#3555—216no—
31C2×#563C2214yes—
32C2×Q82C2211yescharacteristic, complemented
33C2×#557C2211yescharacteristic, complemented
34C2×#557C2212yescomplemented
35C2×#556C2212yes—
36C2×#556C2211yescharacteristic, complemented
37C2×#556C2212yescomplemented
38C2×#554C2211yescharacteristic, complemented
39C2×#552C2212yes—
40#3458—216no—
41C2×#544C2212yes—
42C2×#544C2212yes—
43C2×#544C2212yes—
44C2×#544C2212yes—
45C2×#544C2212yes—
46C2×#544C2211yescharacteristic
47C2×#544C2211yescharacteristic
48C2×#544C2212yescomplemented
49C2×#543C2211yescharacteristic
50C2×#543C2211yescharacteristic
51C2×#543C2212yes—
52C2×#542C2212yes—
53C2×#541C2212yes—
54C2×#541C2214yescomplemented
55C2×#541C2212yescomplemented
56C2×#533C2212yes—
57C2×#533C2211yescharacteristic
58C2×#533C2211yescharacteristic
59C2×#533C2212yes—
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#533C2212yes—
63C2×#533C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C22×#117C2212yes—
66C22×#117C2211yescharacteristic
67#2857C2212yes—
68#2857C2212yes—
69#2855C2211yescharacteristic
70#2855C2212yes—
71#2854C2211yescharacteristic
72#2851C2212yes—
73#2850C2212yes—
74#2848C2212yes—
75#2848C2211yescharacteristic
76#2847C2211yescharacteristic
77#2822C2214yescomplemented
78#2821C2212yescomplemented
79#2821C2212yescomplemented
80#2734C2214yescomplemented
81#2732C2214yes—
82#2729C2214yes—
83#2729C2214yescomplemented
84#2729C2214yescomplemented
85#2729C2214yescomplemented
86#2728C2214yes—
87#2728C2214yes—
88#2726C2214yescomplemented
89#2726C2214yescomplemented
90#2725C2214yescomplemented
91#2725C2214yescomplemented
92#2723C2214yes—
93#2723C2214yes—
94#2721C2214yescomplemented
95#2720C2214yes—
96#2719C2214yescomplemented
97#2719C2214yescomplemented
98#2719C2214yescomplemented
99#2719C2214yescomplemented
100#2716C2214yescomplemented
101#2716C2214yescomplemented
102#2716C2214yescomplemented
103#2713C2214yescomplemented
104#2713C2214yescomplemented
105#2713C2214yescomplemented
106#2713C2214yescomplemented
107#2713C2214yescomplemented
108#2704C2214yes—
109#2704C2214yes—
110#2702C2214yes—
111#2702C2214yes—
112#2700C2214yes—
113#2698C2214yes—
114#2698C2214yes—
115#2692C2214yes—
116#2690C2214yes—
117#2690C2214yes—
118#2690C2214yescomplemented
119#2689C2214yes—
120#2689C2214yes—
121#2687C2214yes—
122#2680C2214yes—
123#2677C2214yes—
124#2677C2214yes—
125#2677C2214yescomplemented
126#2677C2214yescomplemented
127#2674C2214yes—
128#2663C2214yes—
129#2638C2212yes—
130#2638C2212yes—
131#2629C2212yes—
132#2629C2212yes—
133#2628C2212yes—
134#2628C2212yes—
135#2625C2212yes—
136#2625C2212yes—
137#2625C2212yes—
138#2625C2212yes—
139#2625C2212yes—
140#2624C2212yes—
141#2621C2214yes—
142#2621C2212yes—
143#2621C2212yes—
144#2620C2212yes—
145#2620C2212yes—
146#2611C2214yes—
147#2611C2214yescomplemented
148#2609C2214yes—
149#2601C2214yes—
150#2599C2214yes—
151#2592C2212yescomplemented
152#2592C2211yescharacteristic, complemented
153#2592C2212yescomplemented
154#2592C2211yescharacteristic, complemented
155#2584C2212yescomplemented
156#2584C2212yescomplemented
157#2584C2211yescharacteristic, complemented
158#2584C2211yescharacteristic, complemented
159#2583C2212yes—
160#2582C2212yescomplemented
161#2582C2212yescomplemented
162#2582C2212yescomplemented
163#2582C2212yescomplemented
164#2582C2212yescomplemented
165#2581C2212yescomplemented
166#2581C2212yescomplemented
167#2581C2212yescomplemented
168#2581C2212yescomplemented
169#2580C2212yescomplemented
170#2580C2212yescomplemented
171#2579C2212yes—
172#2568C2212yescomplemented
173#2568C2212yescomplemented
174#2568C2212yescomplemented
175#2568C2212yescomplemented
176#2567C2212yescomplemented
177#2561C2212yes—
178#2560C2214yes—
179#2560C2214yes—
180#2556C2214yes—
181#2556C2214yescomplemented
182#2551C2214yescomplemented
183#2550C2214yescomplemented
184#2546C2212yescomplemented
185#2546C2212yescomplemented
186#2546C2212yescomplemented
187#2546C2214yescomplemented
188#2538C2212yescomplemented
189#2536C2214yes—
190#2534C2212yes—
191#2519C2214yescomplemented
192#2519C2214yescomplemented
193#2506C2214yescomplemented
194#2492C2214yes—
195#2489C2214yes—
196#2484C2212yes—
197#2482C2212yes—
198#2481C2214yes—
199#2480C2214yes—
200#2480C2214yes—
201#2479C2214yes—
202#2478C2214yes—
203#2478C2214yes—
204#2477C2214yes—
205#2477C2214yes—
206#2477C2214yes—
207#2475C2214yes—
208#2475C2214yes—
209#2475C2214yescomplemented
210#2475C2214yescomplemented
211#2474C2214yes—
212#2473C2214yes—
213#2473C2214yes—
214#2473C2214yescomplemented
215#2472C2214yes—
216#2470C2214yes—
217#2465C2214yes—
218#2462C2214yescomplemented
219#2452C2214yes—
220#2451C2214yescomplemented
221#2449C2214yes—
222#2449C2214yes—
223#2446C2214yescomplemented
224#2446C2214yescomplemented
225#2439C2214yescomplemented
226#2429C2214yes—
227#2429C2214yes—
228#2429C2214yescomplemented
229#2423C2214yes—
230#2421C2214yes—
231#2418C2214yes—
232#2415C2214yes—
233#2413C2212yes—
234#2411C2212yes—
235#2378C2212yes—
236#2378C2212yes—
237#2362C2214yes—
238#2355C2212yescomplemented
239#2355C2212yescomplemented
240#2355C2212yescomplemented
241Q8×C4⋊C4C2212yescomplemented
242#2336C2214yescomplemented
243#2331C2212yescomplemented
244#2327C2212yescomplemented
245#2324C2212yes—
246#2324C2212yes—
247#2323C2212yes—
248#2323C2212yes—
249#2323C2212yes—
250#2323C2212yes—
251#2323C2212yes—
252#2323C2212yes—
253#2314C2212yes—
254#2314C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2212yes—
258C4×#121C2212yes—
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261C24×C4C2311yescharacteristic
262#563—232no—
263Q82—28no—
264#557—28no—
265#557—216no—
266#556—216no—
267#556—216no—
268#556—28no—
269#554—28no—
270#552—216no—
271#544—216no—
272#544—216no—
273#544—216no—
274#544—216no—
275#544—216no—
276#544—28no—
277#544—28no—
278#544—216no—
279#543—28no—
280#543—28no—
281#543—216no—
282#542—216no—
283#541—216no—
284#541—232no—
285#541—216no—
286#533—216no—
287#533—216no—
288#533—216no—
289#533—216no—
290#533—216no—
291#533—28no—
292#533—28no—
293#533D4116yescomplemented
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317#529—28no—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#125C2312yes—
339C2×#125C2314yes—
340C2×#125C2314yes—
341C2×#125C2314yes—
342C2×#125C2314yes—
343C2×#125C2314yes—
344C2×#125C2312yes—
345C2×#125C2312yes—
346C2×#124C2312yes—
347C2×#124C2311yescharacteristic
348C2×#124C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#120C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2314yes—
410C2×C4×Q8C2314yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×#117—216no—
419C2×#117—28no—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2311yescharacteristic
446C22×C42C2312yes—
447C22×C42C2312yes—
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2312yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#395C2314yes—
525#395C2312yes—
526#395C2312yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2312yes—
546#393C2312yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#384C2314yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#379C2314yes—
728#379C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2312yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748#376C2312yes—
749C25C2411yescharacteristic
750C22×Q8C2411yescharacteristic
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2412yes—
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×Q8C2411yescharacteristic
760C22×Q8C2414yes—
761C22×Q8C2412yes—
762C22×Q8C2411yescharacteristic
763C22×Q8C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C23×C4—24no—
768C23×C4—28no—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C4⋊Q8—28no—
784C4⋊Q8—28no—
785C4⋊Q8—28no—
786C4⋊Q8—28no—
787C4⋊Q8—216no—
788C4⋊Q8—28no—
789C4⋊Q8—28no—
790C4⋊Q8—28no—
791C4⋊Q8—28no—
792C4⋊Q8—28no—
793C4⋊Q8—28no—
794C4⋊Q8—216no—
795C4⋊Q8—28no—
796C4⋊Q8—24no—
797C4⋊Q8—24no—
798C4⋊Q8—24no—
799C4⋊Q8—24no—
800C4⋊Q8—28no—
801C4⋊Q8—28no—
802C4⋊Q8—84no—
803C4⋊Q8—84no—
804C4⋊Q8C2×D418yes—
805C4⋊Q8C2×D418yes—
806#126—216no—
807#126—216no—
808#126—216no—
809#126—216no—
810#126—216no—
811#126—216no—
812#126—28no—
813#125—28no—
814#125—28no—
815#125—28no—
816#125—28no—
817#125—28no—
818#125—28no—
819#125—28no—
820#125—28no—
821#125—28no—
822#125—28no—
823#125—216no—
824#125—216no—
825#125—216no—
826#125—216no—
827#125—216no—
828#125—28no—
829#125—24no—
830#125—28no—
831#125—28no—
832#125—28no—
833#125C2×D4116yes—
834#124—216no—
835#124—24no—
836#124—28no—
837#123—28no—
838#123—216no—
839#123—82no—
840C22⋊Q8—28no—
841C22⋊Q8—28no—
842C22⋊Q8—28no—
843C22⋊Q8—28no—
844C22⋊Q8—28no—
845C22⋊Q8—28no—
846C22⋊Q8—216no—
847C22⋊Q8—24no—
848C22⋊Q8—28no—
849C22⋊Q8—24no—
850C22⋊Q8—24no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—84no—
875C22⋊Q8—84no—
876C22⋊Q8C2×D418yes—
877C22⋊Q8C2×D418yes—
878C22⋊Q8C2×D4116yes—
879#121—24no—
880#121—28no—
881#120—82no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—216no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—84no—
899C4×Q8C2×D418yes—
900C4×Q8C2×D4116yes—
901C4×Q8C2×D418yes—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—84no—
906#117—28no—
907#117—28no—
908#117—28no—
909#117—28no—
910#117—216no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—28no—
915#117—28no—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—28no—
921#117—82no—
922#117C2×D4116yes—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—24no—
1013C2×C22⋊C4—28no—
1014C2×C22⋊C4—28no—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—24no—
1054C2×C42—28no—
1055C2×C42—28no—
1056C2×C42C2×D418yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133C24—22no—
1134C24—24no—
1135C24—41no—
1136C24—42no—
1137C24—41no—
1138C24C2512yes—
1139C24C2511yescharacteristic
1140C24C2512yes—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—28no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8C22×D414yes—
1176C2×Q8C22×D414yes—
1177C2×Q8C22×D418yes—
1178C2×D4—24no—
1179C2×D4—28no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C22×C4—232no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—28no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4C22×D414yes—
1221C22×C4C22×D414yes—
1222C22×C4C22×D414yes—
1223C22×C42−1+418yes—
1224C22×C4C2514yes—
1225C22×C4C2514yes—
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4C22×D414yes—
1325C4⋊C4C22×D418yes—
1326C4⋊C4C22×D418yes—
1327C4⋊C4C22×D418yes—
1328C4⋊C4C22×D414yes—
1329C4⋊C4C22×D418yes—
1330C4⋊C4C22×D418yes—
1331C4⋊C4C22×D418yes—
1332C4⋊C4C22×D418yes—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4C22×D418yes—
1370C22⋊C4C22×D418yes—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—28no—
1380C42—24no—
1381C42—28no—
1382C42—28no—
1383C42—28no—
1384C42—44no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—44no—
1391C42C22×D418yes—
1392C42C22×D418yes—
1393C42C22×D414yes—
1394C42C22×D414yes—
1395C42C22×D414yes—
1396C42C22×D414yes—
1397C23—28no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—82no—
1414C23—82no—
1415C23—84no—
1416C23—84no—
1417C23C23×D412yes—
1418C23C2×2−1+414yes—
1419C23C2611yescharacteristic
1420Q8—48no—
1421Q8—44no—
1422Q8—44no—
1423Q8—44no—
1424Q8—48no—
1425Q8—84no—
1426Q8—84no—
1427Q8—84no—
1428Q8—84no—
1429Q8—88no—
1430Q8—82no—
1431Q8—82no—
1432Q8—84no—
1433Q8—84no—
1434D4—44no—
1435D4—84no—
1436D4—88no—
1437C2×C4—216no—
1438C2×C4—28no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—28no—
1457C2×C4—216no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—48no—
1504C2×C4—84no—
1505C2×C4—88no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—84no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4C23×D412yes—
1512C2×C4C23×D414yes—
1513C2×C4C23×D414yes—
1514C2×C4C23×D414yes—
1515C2×C4C23×D412yes—
1516C2×C4C23×D412yes—
1517C2×C4C23×D414yes—
1518C2×C4C23×D412yes—
1519C2×C4C23×D412yes—
1520C2×C4C23×D412yes—
1521C2×C4C2×2−1+414yes—
1522C2×C4C2×2−1+414yes—
1523C22—22no—
1524C22—24no—
1525C22—22no—
1526C22—22no—
1527C22—24no—
1528C22—24no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—44no—
1539C22—44no—
1540C22—88no—
1541C22C24×D411yescharacteristic
1542C22C22×2−1+412yes—
1543C22H(7,𝔽2)11yescharacteristic
1544C222−1+611yescharacteristic
1545C222−1+612yes—
1546C4—22no—
1547C4—24no—
1548C4—22no—
1549C4—22no—
1550C4—24no—
1551C4—24no—
1552C4—22no—
1553C4—22no—
1554C4—24no—
1555C4—24no—
1556C4—44no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—44no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—44no—
1568C4—44no—
1569C4—44no—
1570C4—44no—
1571C4#348614yes—
1572C2—42no—
1573C2—44no—
1574C2—82no—
1575C2C2×#348611yescharacteristic
1576C2#6285311yescharacteristic
1577C2#6285911yescharacteristic
1578C2#6287912yes—
1579C2#6288912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2847C22
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×#3555C2semidirect
2. C2×#3458C2semidirect
3. #50169C2semidirect
4. #50168C2semidirect
5. #49568C2semidirect
6. #48779C2semidirect
7. #48778C2semidirect
8. #47855C2semidirect
9. #47822C2semidirect
10. #47799C2semidirect
11. #47769C2semidirect
12. #47717C2semidirect
13. #39727C2semidirect
14. #39724C2semidirect
15. #39719C2semidirect
16. #39719C2semidirect
17. #39599C2semidirect
18. #39597C2semidirect
19. #39591C2semidirect
20. #39590C2semidirect
21. #37641C2semidirect
22. #37551C2semidirect
23. #37377C2semidirect
24. #37275C2semidirect
25. #35325C2semidirect
26. #35310C2semidirect
29. #34373C2semidirect
32. C2×Q82C22semidirect
33. C2×#557C22semidirect
34. C2×#557C22semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
48. C2×#544C22semidirect
54. C2×#541C22semidirect
55. C2×#541C22semidirect
77. #2822C22semidirect
78. #2821C22semidirect
79. #2821C22semidirect
80. #2734C22semidirect
83. #2729C22semidirect
84. #2729C22semidirect
85. #2729C22semidirect
88. #2726C22semidirect
89. #2726C22semidirect
90. #2725C22semidirect
91. #2725C22semidirect
94. #2721C22semidirect
96. #2719C22semidirect
97. #2719C22semidirect
98. #2719C22semidirect
99. #2719C22semidirect
100. #2716C22semidirect
101. #2716C22semidirect
102. #2716C22semidirect
103. #2713C22semidirect
104. #2713C22semidirect
105. #2713C22semidirect
106. #2713C22semidirect
107. #2713C22semidirect
118. #2690C22semidirect
125. #2677C22semidirect
126. #2677C22semidirect
147. #2611C22semidirect
151. #2592C22semidirect
152. #2592C22semidirect
153. #2592C22semidirect
154. #2592C22semidirect
155. #2584C22semidirect
156. #2584C22semidirect
157. #2584C22semidirect
158. #2584C22semidirect
160. #2582C22semidirect
161. #2582C22semidirect
162. #2582C22semidirect
163. #2582C22semidirect
164. #2582C22semidirect
165. #2581C22semidirect
166. #2581C22semidirect
167. #2581C22semidirect
168. #2581C22semidirect
169. #2580C22semidirect
170. #2580C22semidirect
172. #2568C22semidirect
173. #2568C22semidirect
174. #2568C22semidirect
175. #2568C22semidirect
176. #2567C22semidirect
181. #2556C22semidirect
182. #2551C22semidirect
183. #2550C22semidirect
184. #2546C22semidirect
185. #2546C22semidirect
186. #2546C22semidirect
187. #2546C22semidirect
188. #2538C22semidirect
191. #2519C22semidirect
192. #2519C22semidirect
193. #2506C22semidirect
209. #2475C22semidirect
210. #2475C22semidirect
214. #2473C22semidirect
218. #2462C22semidirect
220. #2451C22semidirect
223. #2446C22semidirect
224. #2446C22semidirect
225. #2439C22semidirect
228. #2429C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. Q8×C4⋊C4C22semidirect
242. #2336C22semidirect
243. #2331C22semidirect
244. #2327C22semidirect
293. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#34582
#501692
#501682
#495682
#487792
#487782
#478552
#478222
#477992
#477692
#477172
#397272
#397242
#397192
#395992
#395972
#395912
#395902
#376412
#375512
#373772
#372752
#353252
#353102
#353022
#352602
#343732