Finite Group Databasebeta

← #7714728

Subgroups — #7714728

Order 512.

8224 conjugacy classes of subgroups.

The subgroup lattice has 1901 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C211yesmaximal, characteristic, complemented
2C22×#537C211yesmaximal, characteristic, complemented
3#51974C214yesmaximal, complemented
4#51898C214yesmaximal, complemented
5#51888C214yesmaximal, complemented
6#51887C214yesmaximal, complemented
7#46429C212yesmaximal, complemented
8#46425C212yesmaximal, complemented
9#46417C214yesmaximal, complemented
10#46368C214yesmaximal, complemented
11#46360C212yesmaximal, complemented
12#46356C212yesmaximal, complemented
13#39467C212yesmaximal, complemented
14#39460C212yesmaximal, complemented
15#39339C212yesmaximal, complemented
16#39332C212yesmaximal, complemented
17#37841C212yesmaximal, complemented
18#37840C212yesmaximal, complemented
19#37653C212yesmaximal, complemented
20#37652C212yesmaximal, complemented
21#37446C211yesmaximal, characteristic, complemented
22#37440C211yesmaximal, characteristic, complemented
23#37186C212yesmaximal, complemented
24#37185C212yesmaximal, complemented
25#35149C211yesmaximal, characteristic, complemented
26#35149C212yesmaximal, complemented
27#35088C211yesmaximal, characteristic, complemented
28#34989C212yesmaximal, complemented
29#34359C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C23×#41C2211yescharacteristic, complemented
32#3535—216no—
33C2×#563C2212yescomplemented
34C2×#562C2212yescomplemented
35C2×#554C2212yescomplemented
36C2×#552C2212yes—
37C2×#551C2212yes—
38C2×#551C2212yescomplemented
39C2×#547C2212yes—
40C2×#546C2212yes—
41C2×#544C2211yescharacteristic, complemented
42C2×#543C2211yescharacteristic, complemented
43C2×#542C2212yescomplemented
44C2×#539C2212yes—
45C2×#539C2211yescharacteristic, complemented
46C2×#539C2212yescomplemented
47C2×#538C2211yescharacteristic, complemented
48C2×#537—216no—
49C2×#537C2212yes—
50C2×#537C2212yes—
51C2×#537C2214yes—
52C2×#537C2214yescomplemented
53C2×#537C2212yescomplemented
54C2×#537C2212yescomplemented
55C2×#536C2212yes—
56C2×#536C2211yescharacteristic, complemented
57C2×#535C2212yes—
58C2×#535C2211yescharacteristic, complemented
59C2×#534C2211yescharacteristic
60C2×#534C2211yescharacteristic
61C2×#525C2211yescharacteristic
62C2×#525C2212yes—
63C22×#123C2211yescharacteristic
64C22×C22⋊Q8C2211yescharacteristic
65C22×C22⋊Q8C2212yescomplemented
66C22×C22⋊Q8C2211yescharacteristic, complemented
67C22×#121C2212yes—
68C22×#121C2212yes—
69C22×#121C2211yescharacteristic
70C22×#121C2212yescomplemented
71C22×#121C2211yescharacteristic, complemented
72C23×C4⋊C4C2211yescharacteristic, complemented
73#2849C2212yes—
74#2849C2212yes—
75#2849C2212yes—
76#2849C2212yescomplemented
77#2849C2212yescomplemented
78#2849C2212yescomplemented
79#2848C2212yescomplemented
80#2847C2212yes—
81#2816C2212yescomplemented
82#2815C2212yescomplemented
83#2813C2214yescomplemented
84#2732C2214yescomplemented
85#2732C2214yescomplemented
86#2730C2214yescomplemented
87#2730C2214yescomplemented
88#2729C2214yescomplemented
89#2729C2214yescomplemented
90#2728C2214yescomplemented
91#2728C2214yescomplemented
92#2714C2214yescomplemented
93#2714C2214yescomplemented
94#2714C2214yescomplemented
95#2714C2214yescomplemented
96#2711C2214yescomplemented
97#2711C2214yescomplemented
98#2711C2214yescomplemented
99#2711C2214yescomplemented
100#2704C2214yescomplemented
101#2703C2214yescomplemented
102#2703C2214yescomplemented
103#2702C2214yescomplemented
104#2692C2214yescomplemented
105#2691C2214yescomplemented
106#2691C2214yescomplemented
107#2690C2214yescomplemented
108#2683C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2681C2214yescomplemented
112#2677C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2676C2214yescomplemented
117#2676C2214yescomplemented
118#2676C2214yescomplemented
119#2676C2214yescomplemented
120#2675C2214yescomplemented
121#2675C2214yescomplemented
122#2673C2214yescomplemented
123#2673C2214yescomplemented
124#2673C2214yescomplemented
125#2673C2214yescomplemented
126#2672C2214yescomplemented
127#2672C2214yescomplemented
128#2671C2214yescomplemented
129#2671C2214yescomplemented
130#2669C2214yescomplemented
131#2669C2214yescomplemented
132#2661C2214yescomplemented
133#2656C2212yescomplemented
134#2639C2212yescomplemented
135#2635C2214yescomplemented
136#2627C2212yescomplemented
137#2623C2212yes—
138#2623C2212yescomplemented
139#2618C2212yes—
140#2618C2212yescomplemented
141#2617C2212yescomplemented
142#2614C2212yes—
143#2613C2212yes—
144#2613C2212yes—
145#2613C2212yes—
146#2613C2212yes—
147#2613C2212yes—
148#2613C2212yescomplemented
149#2613C2212yescomplemented
150#2591C2212yescomplemented
151#2561C2212yescomplemented
152#2560C2214yescomplemented
153#2559C2214yescomplemented
154#2559C2214yescomplemented
155#2556C2214yescomplemented
156#2555C2214yescomplemented
157#2555C2214yescomplemented
158#2543C2214yescomplemented
159#2541C2214yescomplemented
160#2540C2214yescomplemented
161#2539C2212yes—
162#2539C2212yescomplemented
163#2534C2212yes—
164#2534C2212yescomplemented
165#2491C2214yescomplemented
166#2490C2214yescomplemented
167#2484C2212yescomplemented
168#2482C2212yescomplemented
169#2482C2212yescomplemented
170#2481C2214yescomplemented
171#2481C2214yescomplemented
172#2477C2214yescomplemented
173#2476C2214yescomplemented
174#2476C2214yescomplemented
175#2473C2214yescomplemented
176#2473C2214yescomplemented
177#2465C2214yescomplemented
178#2464C2214yescomplemented
179#2464C2214yescomplemented
180#2464C2214yescomplemented
181#2464C2214yescomplemented
182#2463C2214yescomplemented
183#2461C2214yescomplemented
184#2456C2214yescomplemented
185#2456C2214yescomplemented
186#2452C2214yescomplemented
187#2449C2214yescomplemented
188#2449C2214yescomplemented
189#2449C2214yescomplemented
190#2443C2214yescomplemented
191#2443C2214yescomplemented
192#2435C2212yescomplemented
193#2433C2212yes—
194#2432C2212yescomplemented
195#2432C2214yescomplemented
196#2432C2212yescomplemented
197#2432C2214yescomplemented
198#2431C2212yescomplemented
199#2431C2214yescomplemented
200#2431C2214yescomplemented
201#2431C2212yescomplemented
202#2430C2214yescomplemented
203#2430C2214yescomplemented
204#2428C2214yescomplemented
205#2428C2214yescomplemented
206#2428C2214yescomplemented
207#2426C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2416C2214yescomplemented
211#2414C2214yescomplemented
212#2413C2212yes—
213#2413C2212yescomplemented
214#2411C2212yes—
215#2411C2212yes—
216#2411C2212yes—
217#2411C2212yescomplemented
218#2410C2212yes—
219#2410C2212yes—
220#2408C2212yes—
221#2408C2212yescomplemented
222#2407C2214yescomplemented
223#2407C2214yescomplemented
224#2407C2214yescomplemented
225#2407C2214yescomplemented
226#2407C2214yescomplemented
227#2407C2214yescomplemented
228#2406C2212yes—
229#2406C2212yescomplemented
230#2406C2212yescomplemented
231#2405C2212yes—
232#2404C2212yes—
233#2404C2212yescomplemented
234#2404C2212yescomplemented
235#2404C2212yescomplemented
236#2403C2212yes—
237#2378C2214yescomplemented
238#2368C2214yescomplemented
239#2344C2212yescomplemented
240#2344C2212yescomplemented
241#2342C2212yes—
242#2342C2212yes—
243#2332C2212yescomplemented
244#2332C2212yescomplemented
245#2329C2212yescomplemented
246#2329C2212yescomplemented
247#2322C2212yes—
248#2322C2212yescomplemented
249#2313C2212yescomplemented
250#2310C2212yescomplemented
251#2310C2211yescharacteristic, complemented
252#2309C2212yescomplemented
253#2309C2211yescharacteristic, complemented
254#2308C2211yescharacteristic
255#2308C2211yescharacteristic
256C4×#120C2212yes—
257C4×#120C2212yescomplemented
258#2280C2211yescharacteristic
259#2280C2212yescomplemented
260C2×#381C2211yescharacteristic
261C22×#41—28no—
262C22×#41—28no—
263C22×#41—44no—
264C22×#41—44no—
265C22×#41—44no—
266C22×#41—44no—
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2314yes—
273C22×#41C2312yes—
274C22×#41C2312yes—
275C22×#41C2311yescharacteristic
276C23×Q8C2311yescharacteristic
277C23×Q8C2311yescharacteristic
278C23×D4C2311yescharacteristic
279C23×D4C2311yescharacteristic
280C23×D4C2311yescharacteristic
281C23×D4C2312yes—
282C23×D4C2311yescharacteristic
283C23×D4C2311yescharacteristic
284C23×D4C2312yes—
285C23×D4C2312yes—
286C24×C4C2311yescharacteristic
287C24×C4C2312yes—
288C24×C4C2311yescharacteristic
289C24×C4C2312yes—
290C24×C4C2311yescharacteristic
291#563—216no—
292#562—216no—
293#554—216no—
294#552—216no—
295#551—216no—
296#551—216no—
297#547—216no—
298#546—216no—
299#544—28no—
300#543—28no—
301#542—216no—
302#539—28no—
303#539—216no—
304#539—216no—
305#538—28no—
306#537—216no—
307#537—216no—
308#537—232no—
309#537—216no—
310#537—216no—
311#537—232no—
312#536—216no—
313#536—44no—
314#535—48no—
315#535—44no—
316#534—44no—
317#534—44no—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2314yes—
323C2×#127C2312yes—
324C2×#127C2314yes—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344#525—28no—
345#525—48no—
346C2×#123—28no—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×C22⋊Q8—28no—
369C2×C22⋊Q8—216no—
370C2×C22⋊Q8D4116yescomplemented
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×#121—28no—
402C2×#121—28no—
403C2×#121—216no—
404C2×#121—216no—
405C2×#121—216no—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×C4×Q8C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C22×C4⋊C4—28no—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2314yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2312yes—
491C22×C22⋊C4C2311yescharacteristic
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C22⋊C4C2311yescharacteristic
495C22×C22⋊C4C2311yescharacteristic
496C22×C22⋊C4C2312yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2312yes—
594#391C2314yes—
595#391C2314yes—
596#391C2314yes—
597#391C2314yes—
598#391C2314yes—
599#391C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
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#388C2314yes—
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#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#379C2312yes—
737#379C2312yes—
738#379C2312yes—
739#379C2312yes—
740#379C2312yes—
741#379C2312yes—
742#379C2312yes—
743#379C2312yes—
744#379C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2312yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C2×#95C2312yes—
758C2×#95C2312yes—
759C25C2412yes—
760C25C2411yescharacteristic
761C25C2411yescharacteristic
762C25C2411yescharacteristic
763C25C2411yescharacteristic
764C2×#41—28no—
765C2×#41—216no—
766C2×#41—28no—
767C2×#41—28no—
768C2×#41—28no—
769C2×#41—28no—
770C2×#41—28no—
771C2×#41—24no—
772C2×#41—28no—
773C2×#41—44no—
774C2×#41—48no—
775C2×#41—44no—
776C2×#41—44no—
777C2×#41—44no—
778C2×#41—44no—
779C2×#41—44no—
780C2×#41—44no—
781C2×#41—48no—
782C2×#41—44no—
783C2×#41—44no—
784C2×#41—42no—
785C2×#41—44no—
786C2×#41—42no—
787C2×#41—44no—
788C2×#41—44no—
789C2×#41—44no—
790C2×#41—44no—
791C2×#41—464no—
792C2×#41—464no—
793C22×Q8—24no—
794C22×Q8—24no—
795C22×Q8—42no—
796C22×Q8—42no—
797C22×Q8—42no—
798C22×Q8C2×D418yes—
799C22×Q8C2412yes—
800C22×Q8C2412yes—
801C22×Q8C2412yes—
802C22×Q8C2412yes—
803C22×Q8C2411yescharacteristic
804C22×Q8C2411yescharacteristic
805C22×Q8C2412yes—
806C22×Q8C2411yescharacteristic
807C22×D4—24no—
808C22×D4—24no—
809C22×D4—24no—
810C22×D4—28no—
811C22×D4—24no—
812C22×D4—28no—
813C22×D4—24no—
814C22×D4—24no—
815C22×D4—28no—
816C22×D4—24no—
817C22×D4—28no—
818C22×D4—24no—
819C22×D4—44no—
820C22×D4—42no—
821C22×D4—42no—
822C22×D4—42no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4—42no—
827C22×D4—84no—
828C22×D4—84no—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4—24no—
860C23×C4—24no—
861C23×C4—24no—
862C23×C4—28no—
863C23×C4—24no—
864C23×C4—28no—
865C23×C4—28no—
866C23×C4—42no—
867C23×C4—44no—
868C23×C4—42no—
869C23×C4—42no—
870C23×C4—42no—
871C23×C4—84no—
872C23×C4C2×D418yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—44no—
906#127—48no—
907#127—44no—
908#127—84no—
909#126—28no—
910#126—28no—
911#126—28no—
912#126—28no—
913#126—28no—
914#126—28no—
915#125—28no—
916#125—28no—
917#125—28no—
918#125—28no—
919#125—28no—
920#124—28no—
921#124—28no—
922#124—28no—
923#124—28no—
924#124—48no—
925#124—44no—
926#124—44no—
927#124—84no—
928#123—28no—
929#123—28no—
930#123—28no—
931#123—28no—
932#123—28no—
933#123—28no—
934#123—28no—
935#123—28no—
936#123—28no—
937#123—28no—
938#123—28no—
939#123—28no—
940#123—28no—
941#123—28no—
942#123—28no—
943#123—28no—
944#123—44no—
945#123—44no—
946#123—44no—
947#123—44no—
948#123—84no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
957C22⋊Q8—24no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—48no—
971C22⋊Q8—48no—
972C22⋊Q8—84no—
973C22⋊Q8C2×D418yes—
974C22⋊Q8C2×D418yes—
975C22⋊Q8C2×D418yes—
976C22⋊Q8C2×D418yes—
977C22⋊Q8C2×D4116yes—
978C22⋊Q8C2×D4116yes—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—28no—
983#121—24no—
984#121—24no—
985#121—28no—
986#121—28no—
987#121—216no—
988#121—28no—
989#121—216no—
990#121—216no—
991#121—216no—
992#121—216no—
993#121—28no—
994#121—216no—
995#121—216no—
996#121—216no—
997#121—216no—
998#121—216no—
999#121—216no—
1000#121—216no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—48no—
1005#121—48no—
1006#121—48no—
1007#121—48no—
1008#121—48no—
1009#121—48no—
1010#121—84no—
1011#121—84no—
1012#121—84no—
1013#121—84no—
1014#121—84no—
1015#120—28no—
1016#120—28no—
1017#120—28no—
1018#120—28no—
1019#120—44no—
1020#120—44no—
1021#120—44no—
1022#120—44no—
1023#120—44no—
1024#120—44no—
1025#120—44no—
1026#120—44no—
1027#120—84no—
1028C4×Q8—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—48no—
1037C4×D4—48no—
1038C4×D4—84no—
1039C4×D4—84no—
1040#117—24no—
1041#117—28no—
1042#117—28no—
1043#117—28no—
1044#117—44no—
1045#117—44no—
1046#117—42no—
1047#117—42no—
1048C2×C4⋊C4—28no—
1049C2×C4⋊C4—24no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—24no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—216no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4C2×D418yes—
1058C2×C4⋊C4C2×D4116yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C22⋊C4—24no—
1107C2×C22⋊C4—28no—
1108C2×C22⋊C4—28no—
1109C2×C22⋊C4—28no—
1110C2×C22⋊C4—24no—
1111C2×C22⋊C4—24no—
1112C2×C22⋊C4—28no—
1113C2×C22⋊C4—42no—
1114C2×C22⋊C4—42no—
1115C2×C22⋊C4C2×D4116yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2414yes—
1191C2×C42C2414yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—24no—
1232C24—22no—
1233C24—24no—
1234C24—24no—
1235C24—22no—
1236C24—22no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—44no—
1241C24—42no—
1242C24—42no—
1243C24—44no—
1244C24—42no—
1245C24—42no—
1246C24—41no—
1247C24—41no—
1248C24—42no—
1249C24C22×D414yes—
1250C24H(5,𝔽2)14yes—
1251C24C2512yes—
1252C24C2514yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2511yescharacteristic
1257C24C2512yes—
1258C24C2511yescharacteristic
1259#41—432no—
1260#41—432no—
1261#41—432no—
1262#41—432no—
1263#41—432no—
1264#41—464no—
1265#41—432no—
1266#41—816no—
1267#41—88no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—416no—
1276C2×Q8—41no—
1277C2×Q8—42no—
1278C2×Q8—41no—
1279C2×Q8—42no—
1280C2×Q8—42no—
1281C2×Q8—41no—
1282C2×Q8—41no—
1283C2×Q8—42no—
1284C2×Q8—42no—
1285C2×Q8—44no—
1286C2×Q8—41no—
1287C2×Q8—42no—
1288C2×Q8—41no—
1289C2×Q8—416no—
1290C2×Q8C22×D414yes—
1291C2×Q8C22×D418yes—
1292C2×Q8C22×D414yes—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
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—28no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—28no—
1315C2×D4—28no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—28no—
1325C2×D4—28no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—416no—
1343C2×D4—432no—
1344C2×D4—416no—
1345C2×D4—416no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—41no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—41no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—416no—
1385C2×D4—816no—
1386C2×D4—816no—
1387C2×D4—88no—
1388C22×C4—232no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—28no—
1415C22×C4—28no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—28no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—416no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—44no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—44no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—432no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—416no—
1464C22×C4—816no—
1465C22×C4C22×D414yes—
1466C22×C4C22×D418yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D418yes—
1469C22×C4C22×D414yes—
1470C22×C4C22×D414yes—
1471C22×C4C22×D414yes—
1472C22×C4C22×D414yes—
1473C22×C4H(5,𝔽2)14yes—
1474C22×C4C2514yes—
1475C22×C4C2514yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2514yes—
1479C22×C4C2512yes—
1480C22×C4C2514yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D418yes—
1537C4⋊C4C22×D414yes—
1538C4⋊C4C22×D418yes—
1539C4⋊C4C22×D418yes—
1540C4⋊C4C22×D418yes—
1541C4⋊C4C22×D418yes—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4C22×D418yes—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D418yes—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—24no—
1616C42—44no—
1617C42—42no—
1618C42—44no—
1619C42—42no—
1620C42—44no—
1621C42—44no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—24no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—28no—
1637C23—28no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—22no—
1643C23—22no—
1644C23—24no—
1645C23—24no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—24no—
1651C23—24no—
1652C23—24no—
1653C23—24no—
1654C23—24no—
1655C23—24no—
1656C23—24no—
1657C23—24no—
1658C23—24no—
1659C23—24no—
1660C23—48no—
1661C23—44no—
1662C23—44no—
1663C23—44no—
1664C23—44no—
1665C23—48no—
1666C23—44no—
1667C23—48no—
1668C23—48no—
1669C23—44no—
1670C23—44no—
1671C23—48no—
1672C23—44no—
1673C23—84no—
1674C23—88no—
1675C23—84no—
1676C23—84no—
1677C23—88no—
1678C23—84no—
1679C23—82no—
1680C23—82no—
1681C23—162no—
1682C23—162no—
1683C23C23×D412yes—
1684C23C23×D412yes—
1685C23C23×D412yes—
1686C23C2×H(5,𝔽2)14yes—
1687C23C2×H(5,𝔽2)12yes—
1688C23C2×H(5,𝔽2)12yes—
1689C23C2611yescharacteristic
1690Q8—44no—
1691Q8—48no—
1692Q8—44no—
1693Q8—48no—
1694Q8—48no—
1695Q8—84no—
1696Q8—84no—
1697Q8—82no—
1698D4—48no—
1699D4—48no—
1700D4—416no—
1701D4—48no—
1702D4—48no—
1703D4—416no—
1704D4—48no—
1705D4—48no—
1706D4—48no—
1707D4—48no—
1708D4—48no—
1709D4—48no—
1710D4—48no—
1711D4—84no—
1712D4—88no—
1713D4—88no—
1714D4—82no—
1715D4—84no—
1716D4—84no—
1717D4—88no—
1718D4—88no—
1719D4—84no—
1720D4—88no—
1721D4—88no—
1722D4—88no—
1723D4—88no—
1724D4—164no—
1725D4—164no—
1726D4—164no—
1727D4—164no—
1728C2×C4—216no—
1729C2×C4—216no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—28no—
1747C2×C4—28no—
1748C2×C4—216no—
1749C2×C4—28no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—24no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—48no—
1787C2×C4—416no—
1788C2×C4—416no—
1789C2×C4—48no—
1790C2×C4—48no—
1791C2×C4—44no—
1792C2×C4—48no—
1793C2×C4—44no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—88no—
1797C2×C4—88no—
1798C2×C4—84no—
1799C2×C4—84no—
1800C2×C4—84no—
1801C2×C4—82no—
1802C2×C4—82no—
1803C2×C4—162no—
1804C2×C4—162no—
1805C2×C4C23×D412yes—
1806C2×C4C23×D414yes—
1807C2×C4C23×D414yes—
1808C2×C4C23×D414yes—
1809C2×C4C23×D412yes—
1810C2×C4C23×D414yes—
1811C2×C4C23×D412yes—
1812C2×C4C23×D412yes—
1813C2×C4C2×H(5,𝔽2)14yes—
1814C22—22no—
1815C22—22no—
1816C22—24no—
1817C22—24no—
1818C22—24no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—28no—
1826C22—416no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—42no—
1834C22—44no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—44no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—44no—
1846C22—44no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—44no—
1852C22—44no—
1853C22—44no—
1854C22—44no—
1855C22—44no—
1856C22—88no—
1857C22—816no—
1858C22—88no—
1859C22—164no—
1860C22#348414yes—
1861C22C24×D411yescharacteristic
1862C22C22×H(5,𝔽2)11yescharacteristic
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22H(7,𝔽2)12yes—
1865C222−1+612yes—
1866C4—22no—
1867C4—22no—
1868C4—24no—
1869C4—24no—
1870C4—22no—
1871C4—22no—
1872C4—24no—
1873C4—24no—
1874C4—24no—
1875C4—42no—
1876C4—42no—
1877C4—42no—
1878C4—42no—
1879C4—42no—
1880C4—44no—
1881C4—42no—
1882C4—42no—
1883C4—44no—
1884C4—44no—
1885C4—44no—
1886C4—44no—
1887C2—24no—
1888C2—44no—
1889C2—42no—
1890C2—42no—
1891C2—82no—
1892C2—84no—
1893C2—82no—
1894C2—82no—
1895C2C2×#348411yescharacteristic
1896C2#6284811yescharacteristic
1897C2#6285211yescharacteristic
1898C2#6286612yes—
1899C2#6287512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
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×#3535C2semidirect
2. C22×#537C2semidirect
3. #51974C2semidirect
4. #51898C2semidirect
5. #51888C2semidirect
6. #51887C2semidirect
7. #46429C2semidirect
8. #46425C2semidirect
9. #46417C2semidirect
10. #46368C2semidirect
11. #46360C2semidirect
12. #46356C2semidirect
13. #39467C2semidirect
14. #39460C2semidirect
15. #39339C2semidirect
16. #39332C2semidirect
17. #37841C2semidirect
18. #37840C2semidirect
19. #37653C2semidirect
20. #37652C2semidirect
21. #37446C2semidirect
22. #37440C2semidirect
23. #37186C2semidirect
24. #37185C2semidirect
25. #35149C2semidirect
26. #35149C2semidirect
27. #35088C2semidirect
28. #34989C2semidirect
29. #34359C2semidirect
31. C23×#41C22semidirect
33. C2×#563C22semidirect
34. C2×#562C22semidirect
35. C2×#554C22semidirect
38. C2×#551C22semidirect
41. C2×#544C22semidirect
42. C2×#543C22semidirect
43. C2×#542C22semidirect
45. C2×#539C22semidirect
46. C2×#539C22semidirect
47. C2×#538C22semidirect
52. C2×#537C22semidirect
53. C2×#537C22semidirect
54. C2×#537C22semidirect
56. C2×#536C22semidirect
58. C2×#535C22semidirect
65. C22×C22⋊Q8C22semidirect
66. C22×C22⋊Q8C22semidirect
70. C22×#121C22semidirect
71. C22×#121C22semidirect
72. C23×C4⋊C4C22semidirect
76. #2849C22semidirect
77. #2849C22semidirect
78. #2849C22semidirect
79. #2848C22semidirect
81. #2816C22semidirect
82. #2815C22semidirect
83. #2813C22semidirect
84. #2732C22semidirect
85. #2732C22semidirect
86. #2730C22semidirect
87. #2730C22semidirect
88. #2729C22semidirect
89. #2729C22semidirect
90. #2728C22semidirect
91. #2728C22semidirect
92. #2714C22semidirect
93. #2714C22semidirect
94. #2714C22semidirect
95. #2714C22semidirect
96. #2711C22semidirect
97. #2711C22semidirect
98. #2711C22semidirect
99. #2711C22semidirect
100. #2704C22semidirect
101. #2703C22semidirect
102. #2703C22semidirect
103. #2702C22semidirect
104. #2692C22semidirect
105. #2691C22semidirect
106. #2691C22semidirect
107. #2690C22semidirect
108. #2683C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2681C22semidirect
112. #2677C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2676C22semidirect
117. #2676C22semidirect
118. #2676C22semidirect
119. #2676C22semidirect
120. #2675C22semidirect
121. #2675C22semidirect
122. #2673C22semidirect
123. #2673C22semidirect
124. #2673C22semidirect
125. #2673C22semidirect
126. #2672C22semidirect
127. #2672C22semidirect
128. #2671C22semidirect
129. #2671C22semidirect
130. #2669C22semidirect
131. #2669C22semidirect
132. #2661C22semidirect
133. #2656C22semidirect
134. #2639C22semidirect
135. #2635C22semidirect
136. #2627C22semidirect
138. #2623C22semidirect
140. #2618C22semidirect
141. #2617C22semidirect
148. #2613C22semidirect
149. #2613C22semidirect
150. #2591C22semidirect
151. #2561C22semidirect
152. #2560C22semidirect
153. #2559C22semidirect
154. #2559C22semidirect
155. #2556C22semidirect
156. #2555C22semidirect
157. #2555C22semidirect
158. #2543C22semidirect
159. #2541C22semidirect
160. #2540C22semidirect
162. #2539C22semidirect
164. #2534C22semidirect
165. #2491C22semidirect
166. #2490C22semidirect
167. #2484C22semidirect
168. #2482C22semidirect
169. #2482C22semidirect
170. #2481C22semidirect
171. #2481C22semidirect
172. #2477C22semidirect
173. #2476C22semidirect
174. #2476C22semidirect
175. #2473C22semidirect
176. #2473C22semidirect
177. #2465C22semidirect
178. #2464C22semidirect
179. #2464C22semidirect
180. #2464C22semidirect
181. #2464C22semidirect
182. #2463C22semidirect
183. #2461C22semidirect
184. #2456C22semidirect
185. #2456C22semidirect
186. #2452C22semidirect
187. #2449C22semidirect
188. #2449C22semidirect
189. #2449C22semidirect
190. #2443C22semidirect
191. #2443C22semidirect
192. #2435C22semidirect
194. #2432C22semidirect
195. #2432C22semidirect
196. #2432C22semidirect
197. #2432C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
201. #2431C22semidirect
202. #2430C22semidirect
203. #2430C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2426C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2416C22semidirect
211. #2414C22semidirect
213. #2413C22semidirect
217. #2411C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
229. #2406C22semidirect
230. #2406C22semidirect
233. #2404C22semidirect
234. #2404C22semidirect
235. #2404C22semidirect
237. #2378C22semidirect
238. #2368C22semidirect
239. #2344C22semidirect
240. #2344C22semidirect
243. #2332C22semidirect
244. #2332C22semidirect
245. #2329C22semidirect
246. #2329C22semidirect
248. #2322C22semidirect
249. #2313C22semidirect
250. #2310C22semidirect
251. #2310C22semidirect
252. #2309C22semidirect
253. #2309C22semidirect
257. C4×#120C22semidirect
259. #2280C22semidirect
370. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
C22×#5372
#519742
#518982
#518882
#518872
#464292
#464252
#464172
#463682
#463602
#463562
#394672
#394602
#393392
#393322
#378412
#378402
#376532
#376522
#374462
#374402
#371862
#371852
#351492
#350882
#349892
#343592