Finite Group Databasebeta

← #7684854

Subgroups — #7684854

Order 512.

11312 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3485C212yesmaximal, complemented
2C2×D4×#41C212yesmaximal, complemented
3#59129C212yesmaximal, complemented
4#59112C214yesmaximal, complemented
5#59000C211yesmaximal, characteristic, complemented
6#58999C212yesmaximal, complemented
7#58995C214yesmaximal, complemented
8#58993C212yesmaximal, complemented
9#45422C211yesmaximal, characteristic, complemented
10#45332C212yesmaximal, complemented
11#45321C211yesmaximal, characteristic, complemented
12#43527C212yesmaximal, complemented
13#43023C214yesmaximal, complemented
14#42996C212yesmaximal, complemented
15#37680C212yesmaximal, complemented
16#37678C214yesmaximal, complemented
17#37659C212yesmaximal, complemented
18#37654C214yesmaximal, complemented
19#36259C212yesmaximal, complemented
20#36213C212yesmaximal, complemented
21#36213C211yesmaximal, characteristic, complemented
22#36100C212yesmaximal, complemented
23#36099C214yesmaximal, complemented
24#36060C211yesmaximal, characteristic, complemented
25#35761C212yesmaximal, complemented
26#35680C211yesmaximal, characteristic, complemented
27#34655C211yesmaximal, characteristic, complemented
28C2×#2455C212yesmaximal, complemented
29#34292C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C23×#41C2212yescomplemented
32C23×#41C2211yescharacteristic, complemented
33#3485—232no—
34D4×#41—232no—
35C2×#550C2212yescomplemented
36C2×D4×Q8C2212yescomplemented
37C2×#548C2212yescomplemented
38C2×#548C2212yescomplemented
39C2×#547C2212yescomplemented
40C2×#547C2214yescomplemented
41C2×#547C2212yescomplemented
42C2×#547C2214yescomplemented
43C2×#547C2212yescomplemented
44C2×#547C2212yescomplemented
45C2×#547C2214yescomplemented
46C2×#547C2212yescomplemented
47C2×#547C2211yescharacteristic, complemented
48C2×#546C2212yes—
49C2×#546C2214yescomplemented
50C2×#546C2214yescomplemented
51C2×#546C2214yescomplemented
52C2×#546C2214yescomplemented
53C2×#546C2212yescomplemented
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×#546C2212yescomplemented
57C2×#546C2211yescharacteristic, complemented
58C2×D42C2214yescomplemented
59C2×D42C2212yescomplemented
60C2×#536C2212yescomplemented
61C2×#536C2212yescomplemented
62C2×#534C2214yescomplemented
63C2×#534C2214yescomplemented
64C2×#532C2214yescomplemented
65C2×#532C2212yescomplemented
66C2×#525C2214yescomplemented
67C2×#525C2212yescomplemented
68C2×#525C2212yescomplemented
69C2×#525C2214yescomplemented
70C2×#525C2212yescomplemented
71C2×#525C2212yescomplemented
72C22×#123C2214yescomplemented
73C22×#123C2214yescomplemented
74C2×#518C2212yescomplemented
75C2×C4×#41C2212yescomplemented
76C22×C4×D4C2214yescomplemented
77C22×C4×D4C2212yescomplemented
78#2857C2212yescomplemented
79#2854C2214yescomplemented
80#2849C2212yescomplemented
81#2849C2214yescomplemented
82#2848C2211yescharacteristic, complemented
83#2848C2212yescomplemented
84#2682C2214yescomplemented
85#2681C2214yescomplemented
86#2680C2212yescomplemented
87#2680C2214yescomplemented
88#2679C2212yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2677C2212yescomplemented
92#2675C2212yescomplemented
93#2674C2214yescomplemented
94#2674C2214yescomplemented
95#2674C2214yescomplemented
96#2672C2214yescomplemented
97#2672C2214yescomplemented
98#2672C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2671C2214yescomplemented
102#2671C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2212yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2668C2212yescomplemented
108#2658C2211yescharacteristic, complemented
109#2656C2212yescomplemented
110#2620C2212yescomplemented
111#2617C2214yescomplemented
112#2615C2211yescharacteristic, complemented
113#2613C2212yescomplemented
114#2551C2212yescomplemented
115#2546C2212yescomplemented
116#2544C2212yescomplemented
117#2542C2212yescomplemented
118#2542C2211yescharacteristic, complemented
119#2540C2212yescomplemented
120#2540C2211yescharacteristic, complemented
121#2539C2214yescomplemented
122#2539C2212yescomplemented
123#2538C2212yescomplemented
124#2537C2212yescomplemented
125#2534C2214yescomplemented
126#2501C2214yescomplemented
127#2501C2212yescomplemented
128#2486C2214yescomplemented
129#2464C2214yescomplemented
130#2464C2214yescomplemented
131#2464C2214yescomplemented
132#2463C2211yescharacteristic, complemented
133#2461C2214yescomplemented
134#2461C2214yescomplemented
135#2456C2212yescomplemented
136#2456C2214yescomplemented
137#2456C2214yescomplemented
138#2455C2214yescomplemented
139#2455C2214yescomplemented
140#2455C2214yescomplemented
141#2455C2212yescomplemented
142#2455C2212yescomplemented
143#2455C2214yescomplemented
144#2455C2214yescomplemented
145#2455C2214yescomplemented
146#2455C2211yescharacteristic, complemented
147#2455C2212yescomplemented
148#2455C2214yescomplemented
149#2455C2214yescomplemented
150#2452C2214yescomplemented
151#2449C2214yescomplemented
152#2449C2214yescomplemented
153#2449C2214yescomplemented
154#2449C2212yescomplemented
155#2445C2214yescomplemented
156#2443C2214yescomplemented
157#2443C2212yescomplemented
158#2440C2214yescomplemented
159#2437C2211yescharacteristic, complemented
160#2437C2212yescomplemented
161#2434C2212yescomplemented
162#2434C2211yescharacteristic, complemented
163#2433C2211yescharacteristic, complemented
164#2432C2212yescomplemented
165#2432C2212yescomplemented
166#2432C2212yescomplemented
167#2431C2212yescomplemented
168#2430C2214yescomplemented
169#2430C2214yescomplemented
170#2430C2214yescomplemented
171#2430C2212yescomplemented
172#2429C2212yescomplemented
173#2429C2212yescomplemented
174#2428C2212yescomplemented
175#2428C2214yescomplemented
176#2427C2212yescomplemented
177#2425C2214yescomplemented
178#2425C2214yescomplemented
179#2425C2214yescomplemented
180#2424C2214yescomplemented
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2212yescomplemented
185#2422C2214yescomplemented
186#2422C2214yescomplemented
187#2418C2214yescomplemented
188#2418C2214yescomplemented
189#2418C2212yescomplemented
190#2418C2214yescomplemented
191#2416C2214yescomplemented
192#2416C2214yescomplemented
193#2415C2212yescomplemented
194#2415C2212yescomplemented
195#2415C2212yescomplemented
196#2414C2212yescomplemented
197#2413C2214yescomplemented
198#2413C2214yescomplemented
199#2412C2214yescomplemented
200#2410C2214yescomplemented
201#2410C2212yescomplemented
202#2410C2212yescomplemented
203#2410C2214yescomplemented
204#2410C2214yescomplemented
205#2409C2211yescharacteristic, complemented
206#2409C2212yescomplemented
207#2408C2214yescomplemented
208#2408C2211yescharacteristic, complemented
209#2407C2212yescomplemented
210#2407C2212yescomplemented
211#2407C2212yescomplemented
212#2407C2212yescomplemented
213#2406C2214yescomplemented
214#2406C2214yescomplemented
215#2406C2214yescomplemented
216#2405C2212yescomplemented
217#2405C2214yescomplemented
218#2404C2212yescomplemented
219#2403C2214yescomplemented
220#2403C2211yescharacteristic, complemented
221#2397C2211yescharacteristic, complemented
222C2×#399C2212yescomplemented
223#2392C2212yescomplemented
224#2388C2211yescharacteristic
225C2×#394C2214yescomplemented
226C2×#392C2212yes—
227#2367C2212yescomplemented
228#2363C2212yescomplemented
229#2362C2212yescomplemented
230#2361C2214yescomplemented
231#2361C2214yescomplemented
232#2361C2214yescomplemented
233#2359C2214yescomplemented
234#2358C2212yescomplemented
235#2358C2214yescomplemented
236#2358C2214yescomplemented
237#2354C2212yescomplemented
238D4×C4⋊C4C2214yescomplemented
239D4×C4⋊C4C2212yescomplemented
240#2342C2214yescomplemented
241#2339C2211yescharacteristic, complemented
242#2339C2212yescomplemented
243#2339C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245D4×C22⋊C4C2211yescharacteristic, complemented
246#2326C2212yescomplemented
247#2325C2214yescomplemented
248#2323C2212yescomplemented
249#2321C2214yescomplemented
250C4×#123C2214yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#120C2212yescomplemented
254C4×#120C2211yescharacteristic, complemented
255C2×#389C2214yescomplemented
256#2290C2212yescomplemented
257C2×#388C2214yescomplemented
258C2×#385C2212yescomplemented
259C2×#385C2214yescomplemented
260#2275C2211yescharacteristic, complemented
261C2×H(5,𝔽2)—216no—
262C2×H(5,𝔽2)—44no—
263C22×#41—216no—
264C22×#41—216no—
265C22×#41—216no—
266C22×#41—48no—
267C22×#41—44no—
268C22×#41C2312yes—
269C22×#41C2311yescharacteristic
270C22×#41C2314yes—
271C22×#41C2314yes—
272C22×#41C2314yes—
273C22×#41C2312yes—
274C22×#41C2312yes—
275C22×#41C2312yes—
276C22×#41C2311yescharacteristic
277C22×#41C2312yes—
278C22×#41C2312yes—
279C22×#41C2312yes—
280C23×Q8C2312yes—
281C23×Q8C2311yescharacteristic
282C23×D4C2311yescharacteristic
283C23×D4C2314yes—
284C23×D4C2312yes—
285C23×D4C2312yes—
286C23×D4C2314yes—
287C23×D4C2311yescharacteristic
288C23×D4C2312yes—
289C23×D4C2314yes—
290C23×D4C2312yes—
291C24×C4C2311yescharacteristic
292C24×C4C2312yes—
293C24×C4C2312yes—
294C24×C4C2314yes—
295#550—216no—
296D4×Q8—216no—
297#548—216no—
298#548—216no—
299#547—216no—
300#547—216no—
301#547—232no—
302#547—232no—
303#547—216no—
304#547—232no—
305#547—216no—
306#547—216no—
307#547—44no—
308#546—216no—
309#546—216no—
310#546—232no—
311#546—216no—
312#546—232no—
313#546—216no—
314#546—232no—
315#546—232no—
316#546—44no—
317#546D4132yescomplemented
318D42—216no—
319D42—232no—
320#536—216no—
321#536—216no—
322#534—232no—
323#534—232no—
324#532—216no—
325#532—232no—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2314yes—
328C2×C4⋊Q8C2314yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2311yescharacteristic
332C2×#127C2314yes—
333C2×#127C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341#525—232no—
342#525—216no—
343#525—216no—
344#525—216no—
345#525—232no—
346#525—216no—
347C2×#123—232no—
348C2×#123—232no—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2312yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2312yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2314yes—
438C2×#120C2312yes—
439C2×#120C2311yescharacteristic
440C2×#120C2314yes—
441#518—216no—
442C4×#41—216no—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×D4—216no—
446C2×C4×D4—232no—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×#117C2312yes—
484C2×#117C2314yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2314yes—
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2312yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2314yes—
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2314yes—
507C22×C42C2314yes—
508C22×C42C2312yes—
509#399C2311yescharacteristic
510#399C2312yes—
511#399C2312yes—
512#399C2314yes—
513#399C2314yes—
514#399C2312yes—
515#399C2312yes—
516#399C2311yescharacteristic
517#399C2314yes—
518#399C2312yes—
519#399C2312yes—
520#399C2314yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2312yes—
534#396C2312yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#395C2311yescharacteristic
540#395C2312yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#394C2311yescharacteristic
546#394C2314yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#393C2312yes—
574#393C2311yescharacteristic
575#393C2312yes—
576#393C2314yes—
577#392C2312yes—
578#392C2314yes—
579#392C2312yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2311yescharacteristic
584#392C2314yes—
585#392C2312yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2312yes—
590#392C2311yescharacteristic
591#392C2311yescharacteristic
592#392C2312yes—
593#392C2312yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2311yescharacteristic
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2311yescharacteristic
720#384C2312yes—
721#384C2314yes—
722#384C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#379C2314yes—
738#379C2312yes—
739#379C2314yes—
740#379C2312yes—
741#379C2311yescharacteristic
742#379C2312yes—
743#379C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2311yescharacteristic
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2311yescharacteristic
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2314yes—
759#376C2311yescharacteristic
760C2×#95C2312yes—
761C2×#95C2314yes—
762C2×#95C2312yes—
763C2×#95C2314yes—
764C25C2412yes—
765C25C2411yescharacteristic
766C25C2412yes—
767C25C2412yes—
768C25C2414yes—
769H(5,𝔽2)—464no—
770C2×#41—28no—
771C2×#41—28no—
772C2×#41—28no—
773C2×#41—216no—
774C2×#41—216no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—28no—
778C2×#41—28no—
779C2×#41—216no—
780C2×#41—216no—
781C2×#41—28no—
782C2×#41—216no—
783C2×#41—28no—
784C2×#41—28no—
785C2×#41—24no—
786C2×#41—28no—
787C2×#41—28no—
788C2×#41—28no—
789C2×#41—216no—
790C2×#41—216no—
791C2×#41—28no—
792C2×#41—28no—
793C2×#41—42no—
794C2×#41—48no—
795C2×#41—48no—
796C2×#41—48no—
797C2×#41—44no—
798C2×#41—44no—
799C2×#41—44no—
800C2×#41—44no—
801C2×#41—44no—
802C2×#41—4128no—
803C2×#41—464no—
804C2×#41C2×D4116yes—
805C22×Q8—28no—
806C22×Q8—28no—
807C22×Q8—28no—
808C22×Q8—44no—
809C22×Q8—42no—
810C22×Q8C2412yes—
811C22×Q8C2411yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2414yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×D4—28no—
817C22×D4—28no—
818C22×D4—216no—
819C22×D4—216no—
820C22×D4—216no—
821C22×D4—216no—
822C22×D4—28no—
823C22×D4—216no—
824C22×D4—216no—
825C22×D4—216no—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—24no—
829C22×D4—48no—
830C22×D4—44no—
831C22×D4—42no—
832C22×D4—44no—
833C22×D4—48no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—48no—
837C22×D4—48no—
838C22×D4C2×D4116yescomplemented
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2411yescharacteristic
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C23×C4—216no—
872C23×C4—216no—
873C23×C4—28no—
874C23×C4—28no—
875C23×C4—216no—
876C23×C4—28no—
877C23×C4—42no—
878C23×C4—44no—
879C23×C4—44no—
880C23×C4—48no—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—216no—
911C4⋊Q8—216no—
912C4⋊Q8—28no—
913C4⋊Q8—42no—
914#127—216no—
915#127—28no—
916#124—28no—
917#124—216no—
918#124—216no—
919#124—216no—
920#124—28no—
921#124—42no—
922#124C2×D4116yescomplemented
923#123—216no—
924#123—216no—
925#123—216no—
926#123—216no—
927#123—216no—
928#123—28no—
929#123—216no—
930#123—216no—
931#123—216no—
932#123—28no—
933#123—216no—
934#123—216no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—216no—
941#123—216no—
942#123—216no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—44no—
947#123—48no—
948#123C2×D4132yescomplemented
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—216no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—28no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—42no—
966C22⋊Q8—44no—
967C22⋊Q8C2×D4116yescomplemented
968#121—28no—
969#121—216no—
970#121—28no—
971#121—28no—
972#121—216no—
973#121—216no—
974#121—216no—
975#121—216no—
976#121—216no—
977#121—216no—
978#121—216no—
979#121—28no—
980#121—216no—
981#121—216no—
982#121—28no—
983#121—216no—
984#121—28no—
985#121—216no—
986#121—216no—
987#121—216no—
988#121—216no—
989#121—216no—
990#121—44no—
991#121—48no—
992#121—48no—
993#121—42no—
994#121—44no—
995#121—44no—
996#121C2×D4116yescomplemented
997#121C2×D4132yescomplemented
998#120—216no—
999#120—216no—
1000#120—216no—
1001#120—28no—
1002#120—216no—
1003#120—216no—
1004#120—216no—
1005#120—28no—
1006#120—216no—
1007#120—216no—
1008#120—216no—
1009#120—44no—
1010#120—48no—
1011#120—42no—
1012#120—44no—
1013#120—44no—
1014#120C2×D4132yescomplemented
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—216no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—216no—
1038C4×D4—216no—
1039C4×D4—216no—
1040C4×D4—216no—
1041C4×D4—216no—
1042C4×D4—216no—
1043C4×D4—216no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—42no—
1049C4×D4—42no—
1050C4×D4—48no—
1051C4×D4C2×D4116yescomplemented
1052C4×D4C2×D4116yescomplemented
1053#117—28no—
1054#117—28no—
1055#117—216no—
1056#117—28no—
1057C2×C4⋊C4—216no—
1058C2×C4⋊C4—216no—
1059C2×C4⋊C4—216no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4—216no—
1062C2×C4⋊C4—216no—
1063C2×C4⋊C4—48no—
1064C2×C4⋊C4—44no—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C22⋊C4—216no—
1108C2×C22⋊C4—216no—
1109C2×C22⋊C4—216no—
1110C2×C22⋊C4—28no—
1111C2×C22⋊C4—28no—
1112C2×C22⋊C4—216no—
1113C2×C22⋊C4—216no—
1114C2×C22⋊C4—216no—
1115C2×C22⋊C4—48no—
1116C2×C22⋊C4—44no—
1117C2×C22⋊C4—44no—
1118C2×C22⋊C4C2×D4132yescomplemented
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C42—216no—
1192C2×C42—28no—
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2414yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2411yescharacteristic
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2411yescharacteristic
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238C24—28no—
1239C24—28no—
1240C24—24no—
1241C24—24no—
1242C24—28no—
1243C24—24no—
1244C24—24no—
1245C24—22no—
1246C24—28no—
1247C24—24no—
1248C24—44no—
1249C24—41no—
1250C24—42no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—42no—
1255C24—42no—
1256C24—42no—
1257C24—44no—
1258C24—42no—
1259C24—42no—
1260C24—42no—
1261C24—41no—
1262C24—42no—
1263C24—44no—
1264C24—42no—
1265C24—42no—
1266C24C22×D4116yes—
1267C24C2511yescharacteristic
1268C24C2512yes—
1269C24C2512yes—
1270C24C2512yes—
1271C24C2512yes—
1272C24C2514yes—
1273C24C2511yescharacteristic
1274C24C2512yes—
1275#41—264no—
1276#41—416no—
1277#41—464no—
1278#41—464no—
1279#41—432no—
1280#41—432no—
1281#41—432no—
1282#41—464no—
1283#41—432no—
1284#41—432no—
1285#41—432no—
1286#41—416no—
1287C2×Q8—24no—
1288C2×Q8—28no—
1289C2×Q8—28no—
1290C2×Q8—28no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—44no—
1299C2×Q8—42no—
1300C2×Q8—41no—
1301C2×Q8—432no—
1302C2×Q8—416no—
1303C2×Q8C22×D418yes—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—28no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—264no—
1311C2×D4—28no—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—28no—
1315C2×D4—28no—
1316C2×D4—28no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—28no—
1322C2×D4—28no—
1323C2×D4—28no—
1324C2×D4—28no—
1325C2×D4—24no—
1326C2×D4—28no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—28no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—41no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—41no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—432no—
1387C2×D4—416no—
1388C2×D4—464no—
1389C2×D4—464no—
1390C2×D4—432no—
1391C2×D4—464no—
1392C2×D4—432no—
1393C2×D4—416no—
1394C2×D4C22×D4116yes—
1395C2×D4C22×D4116yes—
1396C2×D4C22×D418yes—
1397C2×D4C22×D4116yes—
1398C2×D4C22×D418yes—
1399C2×D4C22×D418yes—
1400C2×D4H(5,𝔽2)14yes—
1401C22×C4—28no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—28no—
1408C22×C4—28no—
1409C22×C4—28no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—28no—
1418C22×C4—24no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—28no—
1431C22×C4—28no—
1432C22×C4—24no—
1433C22×C4—28no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—28no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—28no—
1447C22×C4—28no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—432no—
1464C22×C4—416no—
1465C22×C4—432no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—42no—
1475C22×C4—464no—
1476C22×C4C22×D4116yes—
1477C22×C4C22×D418yes—
1478C22×C4C22×D418yes—
1479C22×C4C22×D4116yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2514yes—
1486C22×C4C2512yes—
1487C22×C4C2514yes—
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2514yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2514yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2514yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—28no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—41no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—41no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4C22×D418yes—
1541C4⋊C4C22×D4116yes—
1542C4⋊C4C22×D418yes—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—41no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—41no—
1595C22⋊C4—44no—
1596C22⋊C4—41no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D4116yes—
1610C22⋊C4C22×D4116yes—
1611C22⋊C4C22×D418yes—
1612C22⋊C4C22×D4116yes—
1613C22⋊C4C22×D4116yes—
1614C22⋊C4C22×D4116yes—
1615C42—24no—
1616C42—28no—
1617C42—24no—
1618C42—28no—
1619C42—28no—
1620C42—24no—
1621C42—28no—
1622C42—24no—
1623C42—22no—
1624C42—42no—
1625C42—44no—
1626C42C22×D418yes—
1627C23—24no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—24no—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—24no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—22no—
1642C23—24no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—24no—
1652C23—232no—
1653C23—22no—
1654C23—24no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—416no—
1671C23—416no—
1672C23—48no—
1673C23—44no—
1674C23—416no—
1675C23—48no—
1676C23—48no—
1677C23—48no—
1678C23—48no—
1679C23—48no—
1680C23—88no—
1681C23—88no—
1682C23—88no—
1683C23—84no—
1684C23—88no—
1685C23—88no—
1686C23—84no—
1687C23—84no—
1688C23—84no—
1689C23—84no—
1690C23—82no—
1691C23—88no—
1692C23—88no—
1693C23—82no—
1694C23—84no—
1695C23—84no—
1696C23—162no—
1697C23—162no—
1698C23C23×D414yes—
1699C23C23×D414yes—
1700C23C23×D418yes—
1701C23C23×D418yes—
1702C23C2×H(5,𝔽2)14yes—
1703C23#58512yes—
1704C23C2611yescharacteristic
1705Q8—216no—
1706Q8—416no—
1707Q8—48no—
1708Q8—44no—
1709Q8—48no—
1710Q8—44no—
1711D4—216no—
1712D4—232no—
1713D4—232no—
1714D4—216no—
1715D4—48no—
1716D4—416no—
1717D4—48no—
1718D4—416no—
1719D4—48no—
1720D4—48no—
1721D4—416no—
1722D4—416no—
1723D4—416no—
1724D4—44no—
1725D4—416no—
1726D4—48no—
1727D4—416no—
1728D4—416no—
1729D4—48no—
1730D4—48no—
1731D4—416no—
1732D4—44no—
1733D4—84no—
1734D4—88no—
1735D4—84no—
1736D4—88no—
1737D4—88no—
1738D4—84no—
1739D4—82no—
1740D4—82no—
1741D4—162no—
1742D4D42116yes—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—232no—
1758C2×C4—216no—
1759C2×C4—216no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—21no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—416no—
1795C2×C4—44no—
1796C2×C4—48no—
1797C2×C4—48no—
1798C2×C4—416no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—416no—
1802C2×C4—48no—
1803C2×C4—416no—
1804C2×C4—48no—
1805C2×C4—416no—
1806C2×C4—416no—
1807C2×C4—416no—
1808C2×C4—416no—
1809C2×C4—48no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—84no—
1814C2×C4—88no—
1815C2×C4—88no—
1816C2×C4—84no—
1817C2×C4—88no—
1818C2×C4C23×D414yes—
1819C2×C4C23×D418yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D414yes—
1822C2×C4C23×D414yes—
1823C2×C4C23×D418yes—
1824C2×C4C23×D414yes—
1825C2×C4C2×H(5,𝔽2)12yes—
1826C2×C4#58514yes—
1827C22—28no—
1828C22—24no—
1829C22—28no—
1830C22—24no—
1831C22—24no—
1832C22—28no—
1833C22—24no—
1834C22—24no—
1835C22—24no—
1836C22—24no—
1837C22—28no—
1838C22—22no—
1839C22—24no—
1840C22—24no—
1841C22—28no—
1842C22—42no—
1843C22—44no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—44no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—41no—
1857C22—42no—
1858C22—42no—
1859C22—44no—
1860C22—42no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—44no—
1866C22—42no—
1867C22—42no—
1868C22—41no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—41no—
1874C22—832no—
1875C22—816no—
1876C22—88no—
1877C22—816no—
1878C22—168no—
1879C22C2×D4218yes—
1880C22C24×D412yes—
1881C22C22×H(5,𝔽2)11yescharacteristic
1882C22C2×#58512yes—
1883C22C2×#58511yescharacteristic
1884C222−1+611yescharacteristic
1885C4—24no—
1886C4—28no—
1887C4—24no—
1888C4—24no—
1889C4—24no—
1890C4—24no—
1891C4—28no—
1892C4—42no—
1893C4—42no—
1894C4—41no—
1895C4—42no—
1896C4—44no—
1897C4—42no—
1898C4—44no—
1899C4—41no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—41no—
1904C4—44no—
1905C4C2×D4214yes—
1906C2—28no—
1907C2—44no—
1908C2—44no—
1909C2—42no—
1910C2—48no—
1911C2—82no—
1912C2—82no—
1913C2—81no—
1914C2C22×D4211yescharacteristic
1915C2#6281112yes—
1916C2#6289811yescharacteristic
1917C2#6298812yes—
1918C2#6302111yescharacteristic
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×#3485C2semidirect
2. C2×D4×#41C2semidirect
3. #59129C2semidirect
4. #59112C2semidirect
5. #59000C2semidirect
6. #58999C2semidirect
7. #58995C2semidirect
8. #58993C2semidirect
9. #45422C2semidirect
10. #45332C2semidirect
11. #45321C2semidirect
12. #43527C2semidirect
13. #43023C2semidirect
14. #42996C2semidirect
15. #37680C2semidirect
16. #37678C2semidirect
17. #37659C2semidirect
18. #37654C2semidirect
19. #36259C2semidirect
20. #36213C2semidirect
21. #36213C2semidirect
22. #36100C2semidirect
23. #36099C2semidirect
24. #36060C2semidirect
25. #35761C2semidirect
26. #35680C2semidirect
27. #34655C2semidirect
28. C2×#2455C2semidirect
29. #34292C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C23×#41C22semidirect
32. C23×#41C22semidirect
35. C2×#550C22semidirect
36. C2×D4×Q8C22semidirect
37. C2×#548C22semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
40. C2×#547C22semidirect
41. C2×#547C22semidirect
42. C2×#547C22semidirect
43. C2×#547C22semidirect
44. C2×#547C22semidirect
45. C2×#547C22semidirect
46. C2×#547C22semidirect
47. C2×#547C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
56. C2×#546C22semidirect
57. C2×#546C22semidirect
58. C2×D42C22semidirect
59. C2×D42C22semidirect
60. C2×#536C22semidirect
61. C2×#536C22semidirect
62. C2×#534C22semidirect
63. C2×#534C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#525C22semidirect
67. C2×#525C22semidirect
68. C2×#525C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C2×#525C22semidirect
72. C22×#123C22semidirect
73. C22×#123C22semidirect
74. C2×#518C22semidirect
75. C2×C4×#41C22semidirect
76. C22×C4×D4C22semidirect
77. C22×C4×D4C22semidirect
78. #2857C22semidirect
79. #2854C22semidirect
80. #2849C22semidirect
81. #2849C22semidirect
82. #2848C22semidirect
83. #2848C22semidirect
84. #2682C22semidirect
85. #2681C22semidirect
86. #2680C22semidirect
87. #2680C22semidirect
88. #2679C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2677C22semidirect
92. #2675C22semidirect
93. #2674C22semidirect
94. #2674C22semidirect
95. #2674C22semidirect
96. #2672C22semidirect
97. #2672C22semidirect
98. #2672C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
101. #2671C22semidirect
102. #2671C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2668C22semidirect
108. #2658C22semidirect
109. #2656C22semidirect
110. #2620C22semidirect
111. #2617C22semidirect
112. #2615C22semidirect
113. #2613C22semidirect
114. #2551C22semidirect
115. #2546C22semidirect
116. #2544C22semidirect
117. #2542C22semidirect
118. #2542C22semidirect
119. #2540C22semidirect
120. #2540C22semidirect
121. #2539C22semidirect
122. #2539C22semidirect
123. #2538C22semidirect
124. #2537C22semidirect
125. #2534C22semidirect
126. #2501C22semidirect
127. #2501C22semidirect
128. #2486C22semidirect
129. #2464C22semidirect
130. #2464C22semidirect
131. #2464C22semidirect
132. #2463C22semidirect
133. #2461C22semidirect
134. #2461C22semidirect
135. #2456C22semidirect
136. #2456C22semidirect
137. #2456C22semidirect
138. #2455C22semidirect
139. #2455C22semidirect
140. #2455C22semidirect
141. #2455C22semidirect
142. #2455C22semidirect
143. #2455C22semidirect
144. #2455C22semidirect
145. #2455C22semidirect
146. #2455C22semidirect
147. #2455C22semidirect
148. #2455C22semidirect
149. #2455C22semidirect
150. #2452C22semidirect
151. #2449C22semidirect
152. #2449C22semidirect
153. #2449C22semidirect
154. #2449C22semidirect
155. #2445C22semidirect
156. #2443C22semidirect
157. #2443C22semidirect
158. #2440C22semidirect
159. #2437C22semidirect
160. #2437C22semidirect
161. #2434C22semidirect
162. #2434C22semidirect
163. #2433C22semidirect
164. #2432C22semidirect
165. #2432C22semidirect
166. #2432C22semidirect
167. #2431C22semidirect
168. #2430C22semidirect
169. #2430C22semidirect
170. #2430C22semidirect
171. #2430C22semidirect
172. #2429C22semidirect
173. #2429C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2427C22semidirect
177. #2425C22semidirect
178. #2425C22semidirect
179. #2425C22semidirect
180. #2424C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2422C22semidirect
186. #2422C22semidirect
187. #2418C22semidirect
188. #2418C22semidirect
189. #2418C22semidirect
190. #2418C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2415C22semidirect
195. #2415C22semidirect
196. #2414C22semidirect
197. #2413C22semidirect
198. #2413C22semidirect
199. #2412C22semidirect
200. #2410C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2410C22semidirect
205. #2409C22semidirect
206. #2409C22semidirect
207. #2408C22semidirect
208. #2408C22semidirect
209. #2407C22semidirect
210. #2407C22semidirect
211. #2407C22semidirect
212. #2407C22semidirect
213. #2406C22semidirect
214. #2406C22semidirect
215. #2406C22semidirect
216. #2405C22semidirect
217. #2405C22semidirect
218. #2404C22semidirect
219. #2403C22semidirect
220. #2403C22semidirect
221. #2397C22semidirect
222. C2×#399C22semidirect
223. #2392C22semidirect
225. C2×#394C22semidirect
227. #2367C22semidirect
228. #2363C22semidirect
229. #2362C22semidirect
230. #2361C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2359C22semidirect
234. #2358C22semidirect
235. #2358C22semidirect
236. #2358C22semidirect
237. #2354C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. #2342C22semidirect
241. #2339C22semidirect
242. #2339C22semidirect
243. #2339C22semidirect
244. D4×C22⋊C4C22semidirect
245. D4×C22⋊C4C22semidirect
246. #2326C22semidirect
247. #2325C22semidirect
248. #2323C22semidirect
249. #2321C22semidirect
250. C4×#123C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#120C22semidirect
254. C4×#120C22semidirect
255. C2×#389C22semidirect
256. #2290C22semidirect
257. C2×#388C22semidirect
258. C2×#385C22semidirect
259. C2×#385C22semidirect
260. #2275C22semidirect
317. #546D4semidirect
838. C22×D4C2×D4semidirect
922. #124C2×D4semidirect
948. #123C2×D4semidirect
967. C22⋊Q8C2×D4semidirect
996. #121C2×D4semidirect
997. #121C2×D4semidirect
1014. #120C2×D4semidirect
1051. C4×D4C2×D4semidirect
1052. C4×D4C2×D4semidirect
1118. C2×C22⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34852
C2×D4×#412
#591292
#591122
#590002
#589992
#589952
#589932
#454222
#453322
#453212
#435272
#430232
#429962
#376802
#376782
#376592
#376542
#362592
#362132
#361002
#360992
#360602
#357612
#356802
#346552
C2×#24552
#342922