Finite Group Databasebeta

← #72330086

Subgroups — #72330086

Order 1024.

51381 conjugacy classes of subgroups.

The subgroup lattice has 2069 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#34980C212yesmaximal, complemented
2C23×#392C211yesmaximal, characteristic, complemented
3C2×#34198C211yesmaximal, characteristic, complemented
4#4928948C212yesmaximal, complemented
5#4928940C212yesmaximal, complemented
6#4453261C212yesmaximal, complemented
7#4453260C212yesmaximal, complemented
8#765943C214yesmaximal, complemented
9#763822C214yesmaximal, complemented
10#695446C218yesmaximal, complemented
11#686245C218yesmaximal, complemented
12#686242C218yesmaximal, complemented
13#686214C218yesmaximal, complemented
14#614192C212yesmaximal, complemented
15#612793C214yesmaximal, complemented
16#612792C212yesmaximal, complemented
17#517417C211yesmaximal, characteristic, complemented
18#517411C212yesmaximal, complemented
19C25×D4C2212yes—
20C25×D4C2211yescharacteristic, complemented
21C22×#534C2214yescomplemented
22C23×#120C2211yescharacteristic
23C22×#518C2211yescharacteristic, complemented
24C24×C22⋊C4C2211yescharacteristic
25C24×C22⋊C4C2212yescomplemented
26C2×#2849C2214yes—
27C2×#2846C2214yes—
28#34980—232no—
29C2×#2534C2218yescomplemented
30C2×#2408C2218yescomplemented
31C2×#2408C2214yescomplemented
32C2×#2405C2214yescomplemented
33C2×#2405C2214yescomplemented
34C2×#2410C2218yescomplemented
35C2×#2410C2218yescomplemented
36C2×#2403C2214yescomplemented
37C2×#2403C2214yescomplemented
38C2×#2613C2218yescomplemented
39C22×#392—216no—
40C22×#392C2218yes—
41C22×#392C2212yes—
42C22×#392C2212yes—
43C22×#392C2218yescomplemented
44C22×#392C2212yescomplemented
45C22×#392C2212yescomplemented
46#34198—216no—
47C2×#2358C2214yescomplemented
48C2×#2358C2214yescomplemented
49C2×#2342C2214yescomplemented
50C2×D4×C22⋊C4C2214yescomplemented
51C2×#2321C2212yescomplemented
52C2×#2321C2212yescomplemented
53C2×#2315C2211yescharacteristic, complemented
54C2×#2315C2212yescomplemented
55C2×#2308C2214yescomplemented
56C2×#2308C2211yescharacteristic, complemented
57C2×#2308C2214yescomplemented
58C2×#2308C2214yescomplemented
59C2×C4×#120C2212yes—
60C2×C4×#120C2212yes—
61C22×#379C2211yescharacteristic
62C22×#379C2212yes—
63C2×#2273C2211yescharacteristic, complemented
64C23×#95C2211yescharacteristic, complemented
65#16660C2218yescomplemented
66#16288C2218yescomplemented
67#16284C22116yescomplemented
68#16282C2218yescomplemented
69#16256C22116yescomplemented
70#16249C2218yescomplemented
71#15567C22116yescomplemented
72#15419C22116yescomplemented
73#15418C22116yescomplemented
74#15403C22116yescomplemented
75#15320C22116yescomplemented
76#15315C22116yescomplemented
77#15273C22116yescomplemented
78#15263C22116yescomplemented
79#14955C2214yescomplemented
80#14945C2214yescomplemented
81#14935C2218yescomplemented
82#14927C2218yescomplemented
83#14918C2218yescomplemented
84#14911C2218yescomplemented
85#14886C2218yescomplemented
86#14811C2218yescomplemented
87#14760C22116yescomplemented
88#14751C22116yescomplemented
89#14726C2218yescomplemented
90#14726C2218yescomplemented
91#14725C2218yescomplemented
92#14725C2218yescomplemented
93#14724C2214yescomplemented
94#14724C2218yescomplemented
95#14722C2218yescomplemented
96#14716C2218yescomplemented
97#14715C2218yescomplemented
98#14715C2214yescomplemented
99#14681C2214yescomplemented
100#14680C2212yescomplemented
101#14680C2212yescomplemented
102#14679C2214yescomplemented
103#14338C2212yescomplemented
104#14338C2212yescomplemented
105#14335C2218yescomplemented
106#14149C2214yescomplemented
107#13992C2218yescomplemented
108#13991C2218yescomplemented
109#13991C2218yescomplemented
110#13968C2218yescomplemented
111#13967C2218yescomplemented
112#13967C2218yescomplemented
113#13960C2214yescomplemented
114#13903C2218yescomplemented
115#13902C2218yescomplemented
116#13902C2214yescomplemented
117#13877C2218yescomplemented
118#13877C2218yescomplemented
119#13867C2218yescomplemented
120#13867C2214yescomplemented
121#13867C2214yescomplemented
122#13867C2214yescomplemented
123#13867C2214yescomplemented
124#13867C2218yescomplemented
125#13794C2212yescomplemented
126C27C2312yes—
127C27C2311yescharacteristic
128C24×D4—216no—
129C24×D4—216no—
130C24×D4—216no—
131C24×D4—28no—
132C24×D4—416no—
133C24×D4—48no—
134C24×D4—416no—
135C24×D4—416no—
136C24×D4C2314yes—
137C24×D4C2314yes—
138C24×D4C2314yes—
139C24×D4C2314yes—
140C24×D4C2314yes—
141C24×D4C2314yes—
142C24×D4C2312yes—
143C24×D4C2318yes—
144C24×D4C2312yes—
145C24×D4C2311yescharacteristic
146C24×D4C2312yes—
147C25×C4C2312yes—
148C25×C4C2311yescharacteristic
149C25×C4C2311yescharacteristic
150C2×#534—232no—
151C2×#534—416no—
152C2×#534—416no—
153C22×#123C2318yes—
154C22×#123C2318yescomplemented
155C22×#121C23116yescomplemented
156C22×#121C2318yescomplemented
157C22×#120—28no—
158C22×#120—28no—
159C22×#120D4116yescomplemented
160C22×#120C2318yes—
161C22×#120C2312yes—
162C22×#120C2312yes—
163C22×#120C2314yes—
164C22×#120C2318yes—
165C22×#120C2318yes—
166C22×#120C2318yescomplemented
167C2×#518—28no—
168C2×#518—48no—
169C22×C4×D4C2312yes—
170C22×C4×D4C2314yes—
171C22×C4×D4C2312yes—
172C22×C4×D4C2314yes—
173C22×C4×D4C2312yescomplemented
174C22×C4×D4C2312yescomplemented
175C22×#117C2312yescomplemented
176C23×C22⋊C4—216no—
177C23×C22⋊C4—48no—
178C23×C22⋊C4—416no—
179C23×C22⋊C4D4116yescomplemented
180C23×C22⋊C4C2318yes—
181C23×C22⋊C4C2311yescharacteristic
182C23×C22⋊C4C2311yescharacteristic
183C23×C22⋊C4C2311yescharacteristic
184C23×C22⋊C4C2312yes—
185C23×C22⋊C4C2311yescharacteristic
186C23×C22⋊C4C2314yes—
187C23×C22⋊C4C2311yescharacteristic
188C23×C22⋊C4C2314yes—
189C23×C22⋊C4C2312yes—
190C23×C22⋊C4C2312yes—
191C23×C22⋊C4C2314yes—
192C23×C22⋊C4C2314yes—
193C23×C22⋊C4C2318yes—
194C23×C22⋊C4C2314yes—
195C23×C22⋊C4C2311yescharacteristic
196C23×C22⋊C4C2311yescharacteristic
197C23×C22⋊C4C2314yes—
198C23×C22⋊C4C2314yes—
199C23×C22⋊C4C2312yescomplemented
200#2849—232no—
201#2846—232no—
202#2613—264no—
203#2534—432no—
204#2410—264no—
205#2410—264no—
206#2408—416no—
207#2408—432no—
208#2405—232no—
209#2405—232no—
210#2403—232no—
211#2403—232no—
212C2×#396C23116yescomplemented
213C2×#394C23116yescomplemented
214C2×#394C23116yescomplemented
215C2×#394C23116yescomplemented
216C2×#394C2318yescomplemented
217C2×#394C23116yescomplemented
218C2×#392—216no—
219C2×#392—216no—
220C2×#392—264no—
221C2×#392—216no—
222C2×#392—216no—
223C2×#392—264no—
224C2×#392C2318yes—
225C2×#392C2318yes—
226C2×#392C23116yes—
227C2×#392C23116yes—
228C2×#392C2318yes—
229C2×#392C2318yes—
230C2×#392C23116yescomplemented
231C2×#392C23116yescomplemented
232C2×#392C23116yescomplemented
233C2×#392C2318yescomplemented
234#2358—232no—
235#2358—232no—
236#2342—232no—
237D4×C22⋊C4—232no—
238#2321—216no—
239#2321—216no—
240#2315—28no—
241#2315—48no—
242#2308—28no—
243#2308—232no—
244#2308—416no—
245#2308—416no—
246C4×#120—216no—
247C4×#120—216no—
248C2×#390C2314yescomplemented
249C2×#390C2314yescomplemented
250C2×#390C2318yescomplemented
251C2×#390C23116yescomplemented
252C2×#388C2314yescomplemented
253C2×#388C2314yescomplemented
254C2×#388C2314yescomplemented
255C2×#388C2314yescomplemented
256C2×#388C23116yescomplemented
257C2×#386C2318yes—
258C2×#386C2318yes—
259C2×#386C2312yes—
260C2×#386C2312yes—
261C2×#386C2314yes—
262C2×#386C2314yes—
263C2×#386C2314yescomplemented
264C2×#386C2314yescomplemented
265C2×#386C2318yescomplemented
266C2×#386C23116yescomplemented
267C2×#386C2314yescomplemented
268C2×#386C2318yescomplemented
269C2×#386C23116yescomplemented
270C2×#386C23116yescomplemented
271C2×#386C23116yescomplemented
272C2×#386C2318yescomplemented
273C2×#386C2318yescomplemented
274C2×#386C2318yescomplemented
275C2×#386C2318yescomplemented
276C2×#385C2312yes—
277C2×#385C2312yes—
278C2×#385C2318yes—
279C2×#385C2318yes—
280C2×#385C2314yes—
281C2×#385C2314yes—
282C2×#385C2312yescomplemented
283C2×#385C2312yescomplemented
284C2×#385C23116yescomplemented
285C2×#381C2318yes—
286C2×#381C2318yes—
287C2×#381C2318yes—
288C2×#381C2312yescomplemented
289C2×#380C2314yes—
290C2×#380C2314yes—
291C2×#380C2318yes—
292C2×#380C2318yes—
293C2×#380C2314yescomplemented
294C2×#379—28no—
295C2×#379—216no—
296C2×#379C2314yes—
297C2×#379C2314yes—
298C2×#379C2318yes—
299C2×#379C2318yes—
300C2×#379C2318yes—
301C2×#379C2312yes—
302C2×#379C2314yes—
303C2×#379C2314yes—
304C2×#379C2314yes—
305C2×#379C2312yes—
306C2×#379C2318yes—
307C2×#379C2318yes—
308C2×#379C2318yes—
309C2×#379C2318yes—
310C2×#379C2318yes—
311C2×#379C2318yes—
312C2×#379C2312yescomplemented
313#2273—28no—
314C2×C4×C22⋊C4C2312yes—
315C2×C4×C22⋊C4C2312yes—
316C2×C4×C22⋊C4C2314yes—
317C2×C4×C22⋊C4C2314yes—
318C2×C4×C22⋊C4C2314yescomplemented
319C2×C4×C22⋊C4C2314yescomplemented
320C22×#95—28no—
321C22×#95C2312yes—
322C22×#95C2318yes—
323C22×#95C2312yes—
324#1443C23116yescomplemented
325#1442C23116yescomplemented
326#1441C2318yescomplemented
327#1441C23116yescomplemented
328#1441C23116yescomplemented
329#1440C23116yescomplemented
330#1440C23116yescomplemented
331#1440C23116yescomplemented
332#1439C2318yescomplemented
333#1439C2318yescomplemented
334#1439C2318yescomplemented
335#1439C2318yescomplemented
336#1439C23116yescomplemented
337#1439C23116yescomplemented
338#1439C23116yescomplemented
339#1439C23116yescomplemented
340#1439C23116yescomplemented
341#1439C23116yescomplemented
342#1439C2318yescomplemented
343#1438C23116yescomplemented
344#1438C23116yescomplemented
345#1438C23116yescomplemented
346#1438C23116yescomplemented
347#1438C23116yescomplemented
348#1438C23116yescomplemented
349#1438C23116yescomplemented
350#1438C23116yescomplemented
351#1438C23116yescomplemented
352#1437C23116yescomplemented
353#1437C23116yescomplemented
354#1436C23116yescomplemented
355#1434C2318yescomplemented
356C22⋊#95C2314yes—
357C22⋊#95C2314yes—
358C22⋊#95C2318yes—
359C22⋊#95C2318yes—
360C22⋊#95C2318yes—
361C22⋊#95C2318yes—
362C22⋊#95C2318yes—
363C22⋊#95C2318yes—
364C22⋊#95C23116yescomplemented
365C22⋊#95C2318yescomplemented
366C26—28no—
367C26—216no—
368C26—28no—
369C26—28no—
370C26—48no—
371C26—48no—
372C26—48no—
373C26—48no—
374C26—48no—
375C26—44no—
376C26—48no—
377C26—44no—
378C26—48no—
379C26C2×D418yes—
380C26C2×D418yes—
381C26#4118yes—
382C26C2411yescharacteristic
383C26C2414yes—
384C26C2414yes—
385C26C2414yes—
386C26C2411yescharacteristic
387C26C2412yes—
388C26C2411yescharacteristic
389C26C2412yes—
390C26C2411yescharacteristic
391C23×D4—216no—
392C23×D4—24no—
393C23×D4—216no—
394C23×D4—24no—
395C23×D4—216no—
396C23×D4—216no—
397C23×D4—28no—
398C23×D4—28no—
399C23×D4—216no—
400C23×D4—216no—
401C23×D4—216no—
402C23×D4—216no—
403C23×D4—216no—
404C23×D4—216no—
405C23×D4—216no—
406C23×D4—216no—
407C23×D4—216no—
408C23×D4—216no—
409C23×D4—216no—
410C23×D4—216no—
411C23×D4—216no—
412C23×D4—216no—
413C23×D4—216no—
414C23×D4—216no—
415C23×D4—232no—
416C23×D4—232no—
417C23×D4—28no—
418C23×D4—28no—
419C23×D4—216no—
420C23×D4—216no—
421C23×D4—216no—
422C23×D4—416no—
423C23×D4—416no—
424C23×D4—416no—
425C23×D4—416no—
426C23×D4—432no—
427C23×D4—48no—
428C23×D4—48no—
429C23×D4—48no—
430C23×D4—416no—
431C23×D4—48no—
432C23×D4—48no—
433C23×D4—4128no—
434C23×D4—464no—
435C23×D4—416no—
436C23×D4—416no—
437C23×D4—416no—
438C23×D4—416no—
439C23×D4—416no—
440C23×D4—432no—
441C23×D4—416no—
442C23×D4—44no—
443C23×D4—44no—
444C23×D4—48no—
445C23×D4—48no—
446C23×D4—4256no—
447C23×D4—4256no—
448C23×D4—4128no—
449C23×D4—4128no—
450C23×D4—4256no—
451C23×D4—4128no—
452C23×D4C2×D418yescomplemented
453C23×D4C2×D4116yescomplemented
454C23×D4C2414yes—
455C23×D4C2412yes—
456C23×D4C2418yes—
457C23×D4C2418yes—
458C23×D4C2418yes—
459C23×D4C2418yes—
460C23×D4C2418yes—
461C23×D4C2418yes—
462C23×D4C24116yes—
463C23×D4C2412yes—
464C23×D4C2414yes—
465C24×C4—28no—
466C24×C4—216no—
467C24×C4—28no—
468C24×C4—28no—
469C24×C4—28no—
470C24×C4—48no—
471C24×C4—48no—
472C24×C4—44no—
473C24×C4—48no—
474C24×C4C2×D418yes—
475C24×C4C2×D418yes—
476C24×C4C2414yes—
477C24×C4C2414yes—
478C24×C4C2414yes—
479C24×C4C2414yes—
480C24×C4C2412yes—
481C24×C4C2411yescharacteristic
482C24×C4C2411yescharacteristic
483C24×C4C2414yes—
484C24×C4C2411yescharacteristic
485C24×C4C2411yescharacteristic
486C24×C4C2412yes—
487C24×C4C2411yescharacteristic
488C24×C4C2411yescharacteristic
489C24×C4C2418yes—
490C24×C4C2412yes—
491C24×C4C2412yes—
492C24×C4C2411yescharacteristic
493#534—4256no—
494C2×#123—232no—
495C2×#123—232no—
496C2×#123—232no—
497C2×#123—416no—
498C2×#123—416no—
499C2×#123—416no—
500C2×#121—264no—
501C2×#121—432no—
502C2×#121—432no—
503C2×#121—432no—
504C2×#121—416no—
505C2×#120—2128no—
506C2×#120—28no—
507C2×#120—216no—
508C2×#120—28no—
509C2×#120—28no—
510C2×#120—216no—
511C2×#120—28no—
512C2×#120—232no—
513C2×#120—232no—
514C2×#120—232no—
515C2×#120—232no—
516C2×#120—232no—
517C2×#120—416no—
518C2×#120—416no—
519C2×#120—416no—
520C2×#120—416no—
521C2×#120—416no—
522C2×#120—416no—
523C2×#120—416no—
524C2×#120C2×D4116yes—
525C2×#120C2×D4132yescomplemented
526C2×#120C2×D4116yescomplemented
527#518—464no—
528C2×C4×D4—28no—
529C2×C4×D4—28no—
530C2×C4×D4—216no—
531C2×C4×D4—216no—
532C2×C4×D4—216no—
533C2×C4×D4—28no—
534C2×C4×D4—28no—
535C2×C4×D4—48no—
536C2×C4×D4—48no—
537C2×C4×D4—48no—
538C2×C4×D4—416no—
539C2×C4×D4—416no—
540C2×#117—28no—
541C2×#117—48no—
542C22×C4⋊C4C2412yes—
543C22×C4⋊C4C24116yes—
544C22×C4⋊C4C2414yes—
545C22×C4⋊C4C2414yes—
546C22×C4⋊C4C2412yes—
547C22×C4⋊C4C2418yes—
548C22×C4⋊C4C2418yes—
549C22×C22⋊C4—24no—
550C22×C22⋊C4—28no—
551C22×C22⋊C4—28no—
552C22×C22⋊C4—24no—
553C22×C22⋊C4—28no—
554C22×C22⋊C4—28no—
555C22×C22⋊C4—216no—
556C22×C22⋊C4—24no—
557C22×C22⋊C4—24no—
558C22×C22⋊C4—232no—
559C22×C22⋊C4—216no—
560C22×C22⋊C4—232no—
561C22×C22⋊C4—216no—
562C22×C22⋊C4—232no—
563C22×C22⋊C4—28no—
564C22×C22⋊C4—28no—
565C22×C22⋊C4—216no—
566C22×C22⋊C4—216no—
567C22×C22⋊C4—28no—
568C22×C22⋊C4—464no—
569C22×C22⋊C4—416no—
570C22×C22⋊C4—416no—
571C22×C22⋊C4—416no—
572C22×C22⋊C4—432no—
573C22×C22⋊C4—416no—
574C22×C22⋊C4—48no—
575C22×C22⋊C4—44no—
576C22×C22⋊C4—44no—
577C22×C22⋊C4—48no—
578C22×C22⋊C4—48no—
579C22×C22⋊C4—48no—
580C22×C22⋊C4—48no—
581C22×C22⋊C4—48no—
582C22×C22⋊C4—48no—
583C22×C22⋊C4—48no—
584C22×C22⋊C4—48no—
585C22×C22⋊C4—44no—
586C22×C22⋊C4—44no—
587C22×C22⋊C4—416no—
588C22×C22⋊C4—4128no—
589C22×C22⋊C4C2×D418yes—
590C22×C22⋊C4C2×D418yes—
591C22×C22⋊C4C2×D418yes—
592C22×C22⋊C4C2×D418yes—
593C22×C22⋊C4C2×D4132yes—
594C22×C22⋊C4C2×D4132yes—
595C22×C22⋊C4C2×D4116yescomplemented
596C22×C22⋊C4C2×D418yescomplemented
597C22×C22⋊C4C2412yes—
598C22×C22⋊C4C2412yes—
599C22×C22⋊C4C2414yes—
600C22×C22⋊C4C2414yes—
601C22×C22⋊C4C2418yes—
602C22×C22⋊C4C2418yes—
603C22×C22⋊C4C2418yes—
604C22×C22⋊C4C2412yes—
605C22×C22⋊C4C24116yes—
606C22×C22⋊C4C24116yes—
607C22×C22⋊C4C24116yes—
608C22×C22⋊C4C24116yes—
609C22×C22⋊C4C2412yes—
610C22×C22⋊C4C2412yes—
611C22×C22⋊C4C2414yes—
612C22×C22⋊C4C2414yes—
613C22×C22⋊C4C2412yes—
614C22×C22⋊C4C2412yes—
615C22×C22⋊C4C2414yes—
616C22×C22⋊C4C2414yes—
617C22×C22⋊C4C2418yes—
618C22×C22⋊C4C2418yes—
619C22×C22⋊C4C24116yes—
620C22×C22⋊C4C24116yes—
621C22×C22⋊C4C24116yes—
622C22×C22⋊C4C2414yes—
623C22×C22⋊C4C24116yes—
624C22×C22⋊C4C2412yes—
625C22×C22⋊C4C2418yes—
626C22×C22⋊C4C2412yes—
627C22×C22⋊C4C2414yes—
628C22×C22⋊C4C2414yes—
629C22×C22⋊C4C2412yes—
630C22×C22⋊C4C24116yes—
631C22×C22⋊C4C24116yes—
632C22×C22⋊C4C2414yes—
633C22×C22⋊C4C2412yes—
634C22×C22⋊C4C2412yes—
635C22×C42C2412yes—
636C22×C42C2412yes—
637C22×C42C2414yes—
638C22×C42C2414yes—
639#396—432no—
640#394—264no—
641#394—264no—
642#394—432no—
643#394—416no—
644#394—432no—
645#392—264no—
646#392—264no—
647#392—232no—
648#392—232no—
649#392—264no—
650#392—232no—
651#392—232no—
652#392—264no—
653#392—416no—
654#392—432no—
655#390—216no—
656#390—216no—
657#390—416no—
658#390—432no—
659#388—216no—
660#388—216no—
661#388—216no—
662#388—216no—
663#388—432no—
664#386—232no—
665#386—232no—
666#386—28no—
667#386—28no—
668#386—216no—
669#386—216no—
670#386—232no—
671#386—232no—
672#386—216no—
673#386—216no—
674#386—216no—
675#386—264no—
676#386—416no—
677#386—432no—
678#386—416no—
679#386—432no—
680#386—416no—
681#386—432no—
682#386—416no—
683#385—28no—
684#385—28no—
685#385—216no—
686#385—216no—
687#385—28no—
688#385—28no—
689#385—232no—
690#385—232no—
691#385—432no—
692#381—232no—
693#381—232no—
694#381—28no—
695#381—416no—
696#380—216no—
697#380—216no—
698#380—48no—
699#380—416no—
700#380—416no—
701#379—28no—
702#379—216no—
703#379—216no—
704#379—216no—
705#379—216no—
706#379—216no—
707#379—28no—
708#379—232no—
709#379—232no—
710#379—28no—
711#379—232no—
712#379—232no—
713#379—416no—
714#379—416no—
715#379—416no—
716#379—416no—
717#379—416no—
718C4×C22⋊C4—28no—
719C4×C22⋊C4—28no—
720C4×C22⋊C4—216no—
721C4×C22⋊C4—216no—
722C4×C22⋊C4—216no—
723C4×C22⋊C4—216no—
724C2×#95—232no—
725C2×#95—28no—
726C2×#95—28no—
727C2×#95C2418yes—
728C2×#95C2418yes—
729C2×#95C2418yes—
730C2×#95C24116yes—
731C2×#95C24116yes—
732C2×#95C24116yes—
733C2×#95C24116yes—
734C2×#95C2414yes—
735C2×#95C2414yes—
736C2×#95C2414yes—
737C2×#95C2414yes—
738C2×#95C2414yes—
739C2×#95C2414yes—
740C2×#95C24116yes—
741C2×#95C24116yes—
742C2×#95C24116yes—
743C2×#95C24116yes—
744C2×#95C2418yes—
745C25—24no—
746C25—28no—
747C25—28no—
748C25—24no—
749C25—24no—
750C25—24no—
751C25—28no—
752C25—28no—
753C25—28no—
754C25—28no—
755C25—24no—
756C25—24no—
757C25—264no—
758C25—28no—
759C25—28no—
760C25—28no—
761C25—216no—
762C25—216no—
763C25—28no—
764C25—22no—
765C25—28no—
766C25—22no—
767C25—28no—
768C25—28no—
769C25—28no—
770C25—28no—
771C25—28no—
772C25—28no—
773C25—28no—
774C25—216no—
775C25—216no—
776C25—216no—
777C25—216no—
778C25—416no—
779C25—44no—
780C25—44no—
781C25—48no—
782C25—48no—
783C25—432no—
784C25—432no—
785C25—464no—
786C25—464no—
787C25—44no—
788C25—44no—
789C25—44no—
790C25—44no—
791C25—48no—
792C25—48no—
793C25—48no—
794C25—48no—
795C25—44no—
796C25—44no—
797C25—44no—
798C25—44no—
799C25—48no—
800C25—48no—
801C25—416no—
802C25—432no—
803C25—432no—
804C25—44no—
805C25—44no—
806C25—48no—
807C25—48no—
808C25—42no—
809C25—42no—
810C25—44no—
811C25—44no—
812C25—464no—
813C25—464no—
814C25—432no—
815C25—4128no—
816C25—432no—
817C25—432no—
818C25—432no—
819C25—4128no—
820C25—432no—
821C25—432no—
822C25—832no—
823C25—832no—
824C25—832no—
825C25—832no—
826C25—832no—
827C25—832no—
828C25—864no—
829C25—864no—
830C25—864no—
831C25#121164yescomplemented
832C25C22×D414yes—
833C25C22×D414yes—
834C25C22×D414yes—
835C25C22×D414yes—
836C25C22×D418yes—
837C25C22×D418yes—
838C25C22×D418yes—
839C25C22×D418yes—
840C25C22×D414yes—
841C25C22×D414yes—
842C25C22×D414yescomplemented
843C25C2×#4114yes—
844C25C2×#4118yes—
845C25C2×#4114yes—
846C25C2×#4118yes—
847C25C2×#4114yes—
848C25H(5,𝔽2)116yes—
849C25C2512yes—
850C25C2518yes—
851C25C2511yescharacteristic
852C25C2512yes—
853C25C2511yescharacteristic
854C25C2512yes—
855C25C2511yescharacteristic
856C22×D4—2128no—
857C22×D4—2128no—
858C22×D4—232no—
859C22×D4—24no—
860C22×D4—28no—
861C22×D4—24no—
862C22×D4—216no—
863C22×D4—216no—
864C22×D4—28no—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—216no—
868C22×D4—216no—
869C22×D4—28no—
870C22×D4—216no—
871C22×D4—216no—
872C22×D4—216no—
873C22×D4—216no—
874C22×D4—232no—
875C22×D4—216no—
876C22×D4—216no—
877C22×D4—28no—
878C22×D4—264no—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—216no—
882C22×D4—216no—
883C22×D4—216no—
884C22×D4—216no—
885C22×D4—216no—
886C22×D4—216no—
887C22×D4—216no—
888C22×D4—216no—
889C22×D4—232no—
890C22×D4—232no—
891C22×D4—232no—
892C22×D4—216no—
893C22×D4—216no—
894C22×D4—216no—
895C22×D4—216no—
896C22×D4—216no—
897C22×D4—216no—
898C22×D4—216no—
899C22×D4—216no—
900C22×D4—44no—
901C22×D4—416no—
902C22×D4—48no—
903C22×D4—48no—
904C22×D4—416no—
905C22×D4—48no—
906C22×D4—48no—
907C22×D4—48no—
908C22×D4—48no—
909C22×D4—48no—
910C22×D4—48no—
911C22×D4—48no—
912C22×D4—48no—
913C22×D4—44no—
914C22×D4—464no—
915C22×D4—464no—
916C22×D4—4128no—
917C22×D4—464no—
918C22×D4—464no—
919C22×D4—464no—
920C22×D4—464no—
921C22×D4—464no—
922C22×D4—464no—
923C22×D4—432no—
924C22×D4—4128no—
925C22×D4—48no—
926C22×D4—48no—
927C22×D4—416no—
928C22×D4—416no—
929C22×D4—416no—
930C22×D4—416no—
931C22×D4—416no—
932C22×D4—432no—
933C22×D4—464no—
934C22×D4—4128no—
935C22×D4—4128no—
936C22×D4—4128no—
937C22×D4—4128no—
938C22×D4—4128no—
939C22×D4—4256no—
940C22×D4—4128no—
941C22×D4—4128no—
942C22×D4—4128no—
943C22×D4—4128no—
944C22×D4—464no—
945C22×D4—464no—
946C22×D4—464no—
947C22×D4—464no—
948C22×D4—416no—
949C22×D4—416no—
950C22×D4—432no—
951C22×D4—464no—
952C22×D4—4128no—
953C22×D4—464no—
954C22×D4—464no—
955C22×D4—464no—
956C22×D4—464no—
957C22×D4—464no—
958C22×D4—464no—
959C22×D4—464no—
960C22×D4—4256no—
961C22×D4—4128no—
962C22×D4—42048no—
963C22×D4—41024no—
964C22×D4—464no—
965C22×D4—464no—
966C22×D4—464no—
967C22×D4—464no—
968C22×D4—464no—
969C22×D4—464no—
970C22×D4—432no—
971C22×D4—816no—
972C22×D4—816no—
973C22×D4—832no—
974C22×D4C22×D4116yes—
975C22×D4C22×D418yes—
976C22×D4C22×D4116yescomplemented
977C22×D4C22×D418yescomplemented
978C23×C4—264no—
979C23×C4—22no—
980C23×C4—28no—
981C23×C4—28no—
982C23×C4—28no—
983C23×C4—28no—
984C23×C4—22no—
985C23×C4—28no—
986C23×C4—24no—
987C23×C4—28no—
988C23×C4—216no—
989C23×C4—28no—
990C23×C4—28no—
991C23×C4—24no—
992C23×C4—24no—
993C23×C4—24no—
994C23×C4—216no—
995C23×C4—24no—
996C23×C4—232no—
997C23×C4—216no—
998C23×C4—216no—
999C23×C4—216no—
1000C23×C4—28no—
1001C23×C4—28no—
1002C23×C4—28no—
1003C23×C4—28no—
1004C23×C4—22no—
1005C23×C4—22no—
1006C23×C4—216no—
1007C23×C4—24no—
1008C23×C4—24no—
1009C23×C4—24no—
1010C23×C4—28no—
1011C23×C4—42no—
1012C23×C4—432no—
1013C23×C4—44no—
1014C23×C4—48no—
1015C23×C4—48no—
1016C23×C4—48no—
1017C23×C4—44no—
1018C23×C4—42no—
1019C23×C4—416no—
1020C23×C4—432no—
1021C23×C4—44no—
1022C23×C4—48no—
1023C23×C4—48no—
1024C23×C4—44no—
1025C23×C4—44no—
1026C23×C4—44no—
1027C23×C4—44no—
1028C23×C4—42no—
1029C23×C4—42no—
1030C23×C4—48no—
1031C23×C4—48no—
1032C23×C4—44no—
1033C23×C4—48no—
1034C23×C4—48no—
1035C23×C4—48no—
1036C23×C4—48no—
1037C23×C4—44no—
1038C23×C4—44no—
1039C23×C4—48no—
1040C23×C4—44no—
1041C23×C4—44no—
1042C23×C4—48no—
1043C23×C4—464no—
1044C23×C4—464no—
1045C23×C4—464no—
1046C23×C4—432no—
1047C23×C4—432no—
1048C23×C4—832no—
1049C23×C4C22×D4116yes—
1050C23×C4C22×D414yes—
1051C23×C4C22×D4116yes—
1052C23×C4C22×D414yes—
1053C23×C4C22×D414yes—
1054C23×C4C22×D414yes—
1055C23×C4C22×D418yescomplemented
1056C23×C4C22×D414yescomplemented
1057C23×C4H(5,𝔽2)116yes—
1058C23×C4H(5,𝔽2)18yes—
1059C23×C4C2514yes—
1060C23×C4C2512yes—
1061C23×C4C2512yes—
1062C23×C4C25116yes—
1063C23×C4C2512yes—
1064C23×C4C2512yes—
1065C23×C4C2514yes—
1066C23×C4C2512yes—
1067C23×C4C2512yes—
1068C23×C4C2518yes—
1069C23×C4C2512yes—
1070#123—4128no—
1071#123—4128no—
1072#121—4256no—
1073#121—864no—
1074#120—264no—
1075#120—2128no—
1076#120—264no—
1077#120—4128no—
1078#120—4128no—
1079#120—864no—
1080#120—864no—
1081C4×D4—432no—
1082C4×D4—432no—
1083C4×D4—432no—
1084C4×D4—432no—
1085C4×D4—832no—
1086C4×D4—832no—
1087#117—432no—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—232no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—232no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—216no—
1096C2×C4⋊C4—44no—
1097C2×C4⋊C4—416no—
1098C2×C4⋊C4—48no—
1099C2×C4⋊C4—48no—
1100C2×C4⋊C4—416no—
1101C2×C4⋊C4—48no—
1102C2×C4⋊C4—416no—
1103C2×C22⋊C4—264no—
1104C2×C22⋊C4—232no—
1105C2×C22⋊C4—24no—
1106C2×C22⋊C4—28no—
1107C2×C22⋊C4—24no—
1108C2×C22⋊C4—28no—
1109C2×C22⋊C4—28no—
1110C2×C22⋊C4—24no—
1111C2×C22⋊C4—24no—
1112C2×C22⋊C4—28no—
1113C2×C22⋊C4—232no—
1114C2×C22⋊C4—232no—
1115C2×C22⋊C4—28no—
1116C2×C22⋊C4—28no—
1117C2×C22⋊C4—216no—
1118C2×C22⋊C4—24no—
1119C2×C22⋊C4—24no—
1120C2×C22⋊C4—28no—
1121C2×C22⋊C4—28no—
1122C2×C22⋊C4—216no—
1123C2×C22⋊C4—216no—
1124C2×C22⋊C4—216no—
1125C2×C22⋊C4—216no—
1126C2×C22⋊C4—24no—
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—232no—
1129C2×C22⋊C4—28no—
1130C2×C22⋊C4—216no—
1131C2×C22⋊C4—216no—
1132C2×C22⋊C4—216no—
1133C2×C22⋊C4—216no—
1134C2×C22⋊C4—216no—
1135C2×C22⋊C4—216no—
1136C2×C22⋊C4—216no—
1137C2×C22⋊C4—232no—
1138C2×C22⋊C4—216no—
1139C2×C22⋊C4—28no—
1140C2×C22⋊C4—232no—
1141C2×C22⋊C4—232no—
1142C2×C22⋊C4—24no—
1143C2×C22⋊C4—24no—
1144C2×C22⋊C4—232no—
1145C2×C22⋊C4—232no—
1146C2×C22⋊C4—232no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—232no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—216no—
1152C2×C22⋊C4—216no—
1153C2×C22⋊C4—232no—
1154C2×C22⋊C4—232no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—232no—
1158C2×C22⋊C4—232no—
1159C2×C22⋊C4—464no—
1160C2×C22⋊C4—464no—
1161C2×C22⋊C4—432no—
1162C2×C22⋊C4—416no—
1163C2×C22⋊C4—416no—
1164C2×C22⋊C4—44no—
1165C2×C22⋊C4—44no—
1166C2×C22⋊C4—48no—
1167C2×C22⋊C4—416no—
1168C2×C22⋊C4—416no—
1169C2×C22⋊C4—44no—
1170C2×C22⋊C4—44no—
1171C2×C22⋊C4—44no—
1172C2×C22⋊C4—48no—
1173C2×C22⋊C4—48no—
1174C2×C22⋊C4—416no—
1175C2×C22⋊C4—416no—
1176C2×C22⋊C4—4128no—
1177C2×C22⋊C4—464no—
1178C2×C22⋊C4—4128no—
1179C2×C22⋊C4—464no—
1180C2×C22⋊C4—416no—
1181C2×C22⋊C4—416no—
1182C2×C22⋊C4—464no—
1183C2×C22⋊C4—48no—
1184C2×C22⋊C4—48no—
1185C2×C22⋊C4—48no—
1186C2×C22⋊C4—48no—
1187C2×C22⋊C4—48no—
1188C2×C22⋊C4—48no—
1189C2×C22⋊C4—48no—
1190C2×C22⋊C4—48no—
1191C2×C22⋊C4—416no—
1192C2×C22⋊C4—416no—
1193C2×C22⋊C4—416no—
1194C2×C22⋊C4—416no—
1195C2×C22⋊C4—416no—
1196C2×C22⋊C4—416no—
1197C2×C22⋊C4—416no—
1198C2×C22⋊C4—416no—
1199C2×C22⋊C4—416no—
1200C2×C22⋊C4—416no—
1201C2×C22⋊C4—416no—
1202C2×C22⋊C4—416no—
1203C2×C22⋊C4—416no—
1204C2×C22⋊C4—416no—
1205C2×C22⋊C4—816no—
1206C2×C22⋊C4—816no—
1207C2×C22⋊C4—832no—
1208C2×C22⋊C4—832no—
1209C2×C22⋊C4C22×D418yes—
1210C2×C22⋊C4C22×D418yes—
1211C2×C22⋊C4C22×D4116yes—
1212C2×C22⋊C4C22×D4116yes—
1213C2×C22⋊C4C22×D418yes—
1214C2×C22⋊C4C22×D418yes—
1215C2×C22⋊C4C22×D418yes—
1216C2×C22⋊C4C22×D4116yes—
1217C2×C22⋊C4C22×D4116yescomplemented
1218C2×C22⋊C4C22×D418yescomplemented
1219C2×C42—24no—
1220C2×C42—24no—
1221C2×C42—28no—
1222C2×C42—28no—
1223C2×C42—28no—
1224C2×C42—44no—
1225C2×C42—48no—
1226C2×C42—48no—
1227#95—216no—
1228#95—216no—
1229#95—28no—
1230#95—28no—
1231#95—28no—
1232#95—28no—
1233#95—28no—
1234#95—28no—
1235#95—232no—
1236#95—232no—
1237#95—216no—
1238#95—232no—
1239#95—232no—
1240#95—48no—
1241#95—416no—
1242#95—416no—
1243#95—416no—
1244#95—416no—
1245C24—232no—
1246C24—232no—
1247C24—264no—
1248C24—24no—
1249C24—24no—
1250C24—24no—
1251C24—24no—
1252C24—24no—
1253C24—24no—
1254C24—28no—
1255C24—28no—
1256C24—216no—
1257C24—216no—
1258C24—232no—
1259C24—232no—
1260C24—216no—
1261C24—216no—
1262C24—24no—
1263C24—22no—
1264C24—22no—
1265C24—24no—
1266C24—24no—
1267C24—24no—
1268C24—24no—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—24no—
1273C24—24no—
1274C24—22no—
1275C24—22no—
1276C24—28no—
1277C24—28no—
1278C24—28no—
1279C24—28no—
1280C24—232no—
1281C24—232no—
1282C24—216no—
1283C24—216no—
1284C24—216no—
1285C24—216no—
1286C24—232no—
1287C24—232no—
1288C24—216no—
1289C24—216no—
1290C24—216no—
1291C24—216no—
1292C24—232no—
1293C24—232no—
1294C24—22no—
1295C24—28no—
1296C24—28no—
1297C24—22no—
1298C24—28no—
1299C24—216no—
1300C24—28no—
1301C24—24no—
1302C24—28no—
1303C24—28no—
1304C24—216no—
1305C24—216no—
1306C24—28no—
1307C24—28no—
1308C24—216no—
1309C24—24no—
1310C24—232no—
1311C24—28no—
1312C24—232no—
1313C24—232no—
1314C24—48no—
1315C24—48no—
1316C24—4256no—
1317C24—48no—
1318C24—48no—
1319C24—48no—
1320C24—48no—
1321C24—48no—
1322C24—48no—
1323C24—48no—
1324C24—48no—
1325C24—416no—
1326C24—416no—
1327C24—416no—
1328C24—416no—
1329C24—416no—
1330C24—416no—
1331C24—416no—
1332C24—416no—
1333C24—432no—
1334C24—4128no—
1335C24—416no—
1336C24—416no—
1337C24—48no—
1338C24—48no—
1339C24—416no—
1340C24—416no—
1341C24—432no—
1342C24—48no—
1343C24—416no—
1344C24—432no—
1345C24—432no—
1346C24—432no—
1347C24—432no—
1348C24—464no—
1349C24—464no—
1350C24—464no—
1351C24—464no—
1352C24—416no—
1353C24—416no—
1354C24—4256no—
1355C24—4256no—
1356C24—416no—
1357C24—416no—
1358C24—416no—
1359C24—416no—
1360C24—432no—
1361C24—416no—
1362C24—416no—
1363C24—4256no—
1364C24—432no—
1365C24—416no—
1366C24—416no—
1367C24—44no—
1368C24—48no—
1369C24—44no—
1370C24—416no—
1371C24—416no—
1372C24—416no—
1373C24—416no—
1374C24—416no—
1375C24—416no—
1376C24—416no—
1377C24—416no—
1378C24—416no—
1379C24—416no—
1380C24—432no—
1381C24—432no—
1382C24—432no—
1383C24—432no—
1384C24—816no—
1385C24—816no—
1386C24—816no—
1387C24—816no—
1388C24—816no—
1389C24—816no—
1390C24—816no—
1391C24—816no—
1392C24—88no—
1393C24—816no—
1394C24—88no—
1395C24—816no—
1396C24—816no—
1397C24—816no—
1398C24—816no—
1399C24—816no—
1400C24—816no—
1401C24—832no—
1402C24—816no—
1403C24—816no—
1404C24—816no—
1405C24—832no—
1406C24—88no—
1407C24—816no—
1408C24—88no—
1409C24—816no—
1410C24—816no—
1411C24—832no—
1412C24—832no—
1413C24—816no—
1414C24—84no—
1415C24—84no—
1416C24—88no—
1417C24—864no—
1418C24—864no—
1419C24—8128no—
1420C24—8128no—
1421C24—8128no—
1422C24—8256no—
1423C24—8256no—
1424C24—8512no—
1425C24—8512no—
1426C24—8128no—
1427C24—8128no—
1428C24—164no—
1429C24—168no—
1430C24—164no—
1431C24C2×#121116yes—
1432C24C2×#121132yes—
1433C24C2×#121116yes—
1434C24C2×#121132yes—
1435C24C2×#121116yes—
1436C24C23×D414yes—
1437C24C23×D412yes—
1438C24C23×D412yes—
1439C24C23×D414yes—
1440C24C23×D412yes—
1441C24C23×D414yes—
1442C24C23×D412yes—
1443C24C23×D412yes—
1444C24C23×D414yes—
1445C24C23×D414yes—
1446C24C23×D412yes—
1447C24C22×#4112yes—
1448C24C22×#4114yes—
1449C24C22×#4112yes—
1450C24C22×#4114yes—
1451C24C22×#4112yes—
1452C24C2×H(5,𝔽2)116yes—
1453C24C2×H(5,𝔽2)14yes—
1454C24C2×H(5,𝔽2)18yes—
1455C24C2×H(5,𝔽2)18yes—
1456C24#58514yes—
1457C24C2611yescharacteristic
1458C2×D4—264no—
1459C2×D4—264no—
1460C2×D4—264no—
1461C2×D4—264no—
1462C2×D4—264no—
1463C2×D4—232no—
1464C2×D4—216no—
1465C2×D4—216no—
1466C2×D4—264no—
1467C2×D4—232no—
1468C2×D4—232no—
1469C2×D4—416no—
1470C2×D4—464no—
1471C2×D4—464no—
1472C2×D4—432no—
1473C2×D4—432no—
1474C2×D4—432no—
1475C2×D4—432no—
1476C2×D4—432no—
1477C2×D4—432no—
1478C2×D4—464no—
1479C2×D4—432no—
1480C2×D4—432no—
1481C2×D4—432no—
1482C2×D4—432no—
1483C2×D4—432no—
1484C2×D4—432no—
1485C2×D4—432no—
1486C2×D4—432no—
1487C2×D4—432no—
1488C2×D4—432no—
1489C2×D4—432no—
1490C2×D4—432no—
1491C2×D4—432no—
1492C2×D4—432no—
1493C2×D4—48no—
1494C2×D4—4128no—
1495C2×D4—416no—
1496C2×D4—48no—
1497C2×D4—4512no—
1498C2×D4—4512no—
1499C2×D4—432no—
1500C2×D4—432no—
1501C2×D4—432no—
1502C2×D4—432no—
1503C2×D4—464no—
1504C2×D4—4256no—
1505C2×D4—41024no—
1506C2×D4—4512no—
1507C2×D4—4512no—
1508C2×D4—4512no—
1509C2×D4—4512no—
1510C2×D4—4256no—
1511C2×D4—432no—
1512C2×D4—432no—
1513C2×D4—432no—
1514C2×D4—432no—
1515C2×D4—432no—
1516C2×D4—48no—
1517C2×D4—48no—
1518C2×D4—416no—
1519C2×D4—416no—
1520C2×D4—432no—
1521C2×D4—416no—
1522C2×D4—464no—
1523C2×D4—432no—
1524C2×D4—88no—
1525C2×D4—88no—
1526C2×D4—816no—
1527C2×D4—832no—
1528C2×D4—832no—
1529C2×D4—832no—
1530C2×D4—832no—
1531C2×D4—8128no—
1532C2×D4—1616no—
1533C2×D4—1616no—
1534C22×C4—28no—
1535C22×C4—232no—
1536C22×C4—232no—
1537C22×C4—24no—
1538C22×C4—22no—
1539C22×C4—28no—
1540C22×C4—28no—
1541C22×C4—24no—
1542C22×C4—22no—
1543C22×C4—28no—
1544C22×C4—28no—
1545C22×C4—28no—
1546C22×C4—24no—
1547C22×C4—28no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—28no—
1551C22×C4—28no—
1552C22×C4—28no—
1553C22×C4—28no—
1554C22×C4—24no—
1555C22×C4—28no—
1556C22×C4—24no—
1557C22×C4—28no—
1558C22×C4—28no—
1559C22×C4—232no—
1560C22×C4—232no—
1561C22×C4—232no—
1562C22×C4—232no—
1563C22×C4—216no—
1564C22×C4—28no—
1565C22×C4—28no—
1566C22×C4—232no—
1567C22×C4—232no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—216no—
1572C22×C4—216no—
1573C22×C4—28no—
1574C22×C4—28no—
1575C22×C4—216no—
1576C22×C4—216no—
1577C22×C4—28no—
1578C22×C4—28no—
1579C22×C4—216no—
1580C22×C4—216no—
1581C22×C4—24no—
1582C22×C4—24no—
1583C22×C4—28no—
1584C22×C4—216no—
1585C22×C4—48no—
1586C22×C4—416no—
1587C22×C4—48no—
1588C22×C4—416no—
1589C22×C4—48no—
1590C22×C4—48no—
1591C22×C4—416no—
1592C22×C4—48no—
1593C22×C4—416no—
1594C22×C4—416no—
1595C22×C4—464no—
1596C22×C4—432no—
1597C22×C4—432no—
1598C22×C4—432no—
1599C22×C4—432no—
1600C22×C4—48no—
1601C22×C4—44no—
1602C22×C4—4128no—
1603C22×C4—4256no—
1604C22×C4—416no—
1605C22×C4—416no—
1606C22×C4—416no—
1607C22×C4—48no—
1608C22×C4—44no—
1609C22×C4—416no—
1610C22×C4—416no—
1611C22×C4—416no—
1612C22×C4—416no—
1613C22×C4—416no—
1614C22×C4—416no—
1615C22×C4—44no—
1616C22×C4—44no—
1617C22×C4—432no—
1618C22×C4—48no—
1619C22×C4—48no—
1620C22×C4—88no—
1621C22×C4—88no—
1622C22×C4—816no—
1623C22×C4—88no—
1624C22×C4—832no—
1625C22×C4—88no—
1626C22×C4—84no—
1627C22×C4—84no—
1628C22×C4—88no—
1629C22×C4—84no—
1630C22×C4—84no—
1631C22×C4—816no—
1632C22×C4—84no—
1633C22×C4—84no—
1634C22×C4—816no—
1635C22×C4—864no—
1636C22×C4—168no—
1637C22×C4—164no—
1638C22×C4—168no—
1639C22×C4—168no—
1640C22×C4—168no—
1641C22×C4—168no—
1642C22×C4—164no—
1643C22×C4—168no—
1644C22×C4#534116yescomplemented
1645C22×C4C23×D414yes—
1646C22×C4C23×D414yes—
1647C22×C4C23×D414yes—
1648C22×C4C23×D418yes—
1649C22×C4C23×D414yes—
1650C22×C4C23×D414yes—
1651C22×C4C2×H(5,𝔽2)116yes—
1652C22×C4C2×H(5,𝔽2)18yes—
1653C4⋊C4—464no—
1654C4⋊C4—48no—
1655C4⋊C4—48no—
1656C4⋊C4—88no—
1657C4⋊C4—88no—
1658C4⋊C4—816no—
1659C4⋊C4—168no—
1660C22⋊C4—232no—
1661C22⋊C4—216no—
1662C22⋊C4—216no—
1663C22⋊C4—232no—
1664C22⋊C4—216no—
1665C22⋊C4—232no—
1666C22⋊C4—216no—
1667C22⋊C4—416no—
1668C22⋊C4—48no—
1669C22⋊C4—48no—
1670C22⋊C4—464no—
1671C22⋊C4—464no—
1672C22⋊C4—464no—
1673C22⋊C4—464no—
1674C22⋊C4—48no—
1675C22⋊C4—48no—
1676C22⋊C4—48no—
1677C22⋊C4—432no—
1678C22⋊C4—48no—
1679C22⋊C4—48no—
1680C22⋊C4—432no—
1681C22⋊C4—416no—
1682C22⋊C4—416no—
1683C22⋊C4—432no—
1684C22⋊C4—432no—
1685C22⋊C4—48no—
1686C22⋊C4—88no—
1687C22⋊C4—88no—
1688C22⋊C4—832no—
1689C22⋊C4—832no—
1690C22⋊C4—832no—
1691C22⋊C4—88no—
1692C22⋊C4—88no—
1693C22⋊C4—816no—
1694C22⋊C4—816no—
1695C22⋊C4—832no—
1696C22⋊C4—1616no—
1697C22⋊C4—1616no—
1698C42—48no—
1699C42—48no—
1700C42—88no—
1701C42—88no—
1702C23—232no—
1703C23—232no—
1704C23—264no—
1705C23—2128no—
1706C23—2128no—
1707C23—264no—
1708C23—24no—
1709C23—24no—
1710C23—24no—
1711C23—24no—
1712C23—28no—
1713C23—28no—
1714C23—28no—
1715C23—28no—
1716C23—28no—
1717C23—28no—
1718C23—28no—
1719C23—216no—
1720C23—216no—
1721C23—216no—
1722C23—216no—
1723C23—28no—
1724C23—216no—
1725C23—232no—
1726C23—24no—
1727C23—24no—
1728C23—28no—
1729C23—24no—
1730C23—24no—
1731C23—28no—
1732C23—28no—
1733C23—24no—
1734C23—24no—
1735C23—28no—
1736C23—24no—
1737C23—24no—
1738C23—24no—
1739C23—24no—
1740C23—28no—
1741C23—24no—
1742C23—24no—
1743C23—28no—
1744C23—28no—
1745C23—28no—
1746C23—28no—
1747C23—24no—
1748C23—24no—
1749C23—28no—
1750C23—22no—
1751C23—22no—
1752C23—24no—
1753C23—22no—
1754C23—22no—
1755C23—24no—
1756C23—264no—
1757C23—264no—
1758C23—232no—
1759C23—232no—
1760C23—216no—
1761C23—216no—
1762C23—216no—
1763C23—28no—
1764C23—216no—
1765C23—232no—
1766C23—232no—
1767C23—24no—
1768C23—432no—
1769C23—432no—
1770C23—432no—
1771C23—432no—
1772C23—432no—
1773C23—432no—
1774C23—464no—
1775C23—464no—
1776C23—464no—
1777C23—464no—
1778C23—464no—
1779C23—464no—
1780C23—464no—
1781C23—464no—
1782C23—416no—
1783C23—44no—
1784C23—48no—
1785C23—44no—
1786C23—48no—
1787C23—48no—
1788C23—48no—
1789C23—48no—
1790C23—44no—
1791C23—48no—
1792C23—44no—
1793C23—464no—
1794C23—48no—
1795C23—44no—
1796C23—44no—
1797C23—416no—
1798C23—48no—
1799C23—48no—
1800C23—48no—
1801C23—416no—
1802C23—48no—
1803C23—48no—
1804C23—416no—
1805C23—44no—
1806C23—416no—
1807C23—48no—
1808C23—416no—
1809C23—416no—
1810C23—416no—
1811C23—416no—
1812C23—416no—
1813C23—416no—
1814C23—48no—
1815C23—416no—
1816C23—48no—
1817C23—42no—
1818C23—48no—
1819C23—42no—
1820C23—48no—
1821C23—88no—
1822C23—88no—
1823C23—816no—
1824C23—816no—
1825C23—88no—
1826C23—88no—
1827C23—816no—
1828C23—816no—
1829C23—864no—
1830C23—864no—
1831C23—864no—
1832C23—832no—
1833C23—832no—
1834C23—864no—
1835C23—864no—
1836C23—864no—
1837C23—832no—
1838C23—832no—
1839C23—816no—
1840C23—816no—
1841C23—816no—
1842C23—816no—
1843C23—816no—
1844C23—816no—
1845C23—816no—
1846C23—8128no—
1847C23—8128no—
1848C23—8128no—
1849C23—8128no—
1850C23—8512no—
1851C23—81024no—
1852C23—832no—
1853C23—832no—
1854C23—832no—
1855C23—832no—
1856C23—832no—
1857C23—832no—
1858C23—832no—
1859C23—864no—
1860C23—864no—
1861C23—832no—
1862C23—832no—
1863C23—832no—
1864C23—832no—
1865C23—832no—
1866C23—1616no—
1867C23—164no—
1868C23—164no—
1869C23—1616no—
1870C23—168no—
1871C23C22×#12114yes—
1872C23C22×#12118yes—
1873C23C22×#12114yes—
1874C23C22×#12118yes—
1875C23C22×#12114yes—
1876C23C2×#53414yes—
1877C23#344914yes—
1878C23#3484116yes—
1879C23#348418yes—
1880C23#348418yes—
1881C23#3490116yes—
1882C23#349618yes—
1883C23#350518yes—
1884C23C24×D411yescharacteristic
1885C23C24×D411yescharacteristic
1886C23C23×#4111yescharacteristic
1887C23C22×H(5,𝔽2)14yes—
1888C23C22×H(5,𝔽2)14yes—
1889C23C22×H(5,𝔽2)12yes—
1890C23C2×#58512yes—
1891D4—4128no—
1892D4—432no—
1893D4—4128no—
1894D4—4128no—
1895D4—4128no—
1896D4—4128no—
1897D4—4128no—
1898D4—464no—
1899D4—432no—
1900D4—832no—
1901D4—1664no—
1902C2×C4—28no—
1903C2×C4—216no—
1904C2×C4—28no—
1905C2×C4—28no—
1906C2×C4—216no—
1907C2×C4—216no—
1908C2×C4—216no—
1909C2×C4—28no—
1910C2×C4—28no—
1911C2×C4—216no—
1912C2×C4—24no—
1913C2×C4—28no—
1914C2×C4—24no—
1915C2×C4—24no—
1916C2×C4—24no—
1917C2×C4—416no—
1918C2×C4—464no—
1919C2×C4—416no—
1920C2×C4—464no—
1921C2×C4—464no—
1922C2×C4—416no—
1923C2×C4—464no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—48no—
1927C2×C4—48no—
1928C2×C4—48no—
1929C2×C4—48no—
1930C2×C4—44no—
1931C2×C4—48no—
1932C2×C4—48no—
1933C2×C4—48no—
1934C2×C4—48no—
1935C2×C4—42no—
1936C2×C4—42no—
1937C2×C4—44no—
1938C2×C4—44no—
1939C2×C4—416no—
1940C2×C4—416no—
1941C2×C4—44no—
1942C2×C4—44no—
1943C2×C4—416no—
1944C2×C4—48no—
1945C2×C4—416no—
1946C2×C4—416no—
1947C2×C4—416no—
1948C2×C4—416no—
1949C2×C4—48no—
1950C2×C4—416no—
1951C2×C4—42no—
1952C2×C4—42no—
1953C2×C4—44no—
1954C2×C4—88no—
1955C2×C4—832no—
1956C2×C4—88no—
1957C2×C4—816no—
1958C2×C4—168no—
1959C2×C4—168no—
1960C2×C4—164no—
1961C2×C4—164no—
1962C2×C4—1632no—
1963C2×C4—168no—
1964C2×C4C2×#53418yes—
1965C22—2128no—
1966C22—24no—
1967C22—28no—
1968C22—24no—
1969C22—28no—
1970C22—28no—
1971C22—28no—
1972C22—28no—
1973C22—232no—
1974C22—216no—
1975C22—232no—
1976C22—216no—
1977C22—28no—
1978C22—28no—
1979C22—28no—
1980C22—24no—
1981C22—24no—
1982C22—28no—
1983C22—28no—
1984C22—28no—
1985C22—28no—
1986C22—28no—
1987C22—42no—
1988C22—44no—
1989C22—42no—
1990C22—42no—
1991C22—44no—
1992C22—42no—
1993C22—416no—
1994C22—48no—
1995C22—48no—
1996C22—48no—
1997C22—416no—
1998C22—48no—
1999C22—44no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—416no—
2004C22—44no—
2005C22—416no—
2006C22—48no—
2007C22—416no—
2008C22—432no—
2009C22—432no—
2010C22—416no—
2011C22—864no—
2012C22—864no—
2013C22—832no—
2014C22—832no—
2015C22—8128no—
2016C22—8128no—
2017C22—8128no—
2018C22—82no—
2019C22—88no—
2020C22—82no—
2021C22—88no—
2022C22—88no—
2023C22—816no—
2024C22—816no—
2025C22—88no—
2026C22—88no—
2027C22—84no—
2028C22—1616no—
2029C22#3500018yes—
2030C22#35348116yes—
2031C22C23×#12111yescharacteristic
2032C22C22×#53411yescharacteristic
2033C22C2×#344911yescharacteristic
2034C22C2×#348412yes—
2035C22C2×#348412yes—
2036C22C2×#348414yes—
2037C22C2×#349612yes—
2038C22C2×#349014yes—
2039C22C2×#350512yes—
2040C22#6281714yes—
2041C22#6281818yes—
2042C22#6283214yes—
2043C4—28no—
2044C4—44no—
2045C4—44no—
2046C4—44no—
2047C4—44no—
2048C4—416no—
2049C4—48no—
2050C4—82no—
2051C4—82no—
2052C4—816no—
2053C4—84no—
2054C2—216no—
2055C2—28no—
2056C2—44no—
2057C2—48no—
2058C2—44no—
2059C2—816no—
2060C2—84no—
2061C2C2×#3500011yescharacteristic
2062C2C2×#3534812yes—
2063C2#764224411yescharacteristic
2064C2#764235012yes—
2065C2#764300211yescharacteristic
2066C2#774468514yes—
2067C2#774468714yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C26
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#34980C2semidirect
2. C23×#392C2semidirect
3. C2×#34198C2semidirect
4. #4928948C2semidirect
5. #4928940C2semidirect
6. #4453261C2semidirect
7. #4453260C2semidirect
8. #765943C2semidirect
9. #763822C2semidirect
10. #695446C2semidirect
11. #686245C2semidirect
12. #686242C2semidirect
13. #686214C2semidirect
14. #614192C2semidirect
15. #612793C2semidirect
16. #612792C2semidirect
17. #517417C2semidirect
18. #517411C2semidirect
20. C25×D4C22semidirect
21. C22×#534C22semidirect
23. C22×#518C22semidirect
25. C24×C22⋊C4C22semidirect
29. C2×#2534C22semidirect
30. C2×#2408C22semidirect
31. C2×#2408C22semidirect
32. C2×#2405C22semidirect
33. C2×#2405C22semidirect
34. C2×#2410C22semidirect
35. C2×#2410C22semidirect
36. C2×#2403C22semidirect
37. C2×#2403C22semidirect
38. C2×#2613C22semidirect
43. C22×#392C22semidirect
44. C22×#392C22semidirect
45. C22×#392C22semidirect
47. C2×#2358C22semidirect
48. C2×#2358C22semidirect
49. C2×#2342C22semidirect
50. C2×D4×C22⋊C4C22semidirect
51. C2×#2321C22semidirect
52. C2×#2321C22semidirect
53. C2×#2315C22semidirect
54. C2×#2315C22semidirect
55. C2×#2308C22semidirect
56. C2×#2308C22semidirect
57. C2×#2308C22semidirect
58. C2×#2308C22semidirect
63. C2×#2273C22semidirect
64. C23×#95C22semidirect
65. #16660C22semidirect
66. #16288C22semidirect
67. #16284C22semidirect
68. #16282C22semidirect
69. #16256C22semidirect
70. #16249C22semidirect
71. #15567C22semidirect
72. #15419C22semidirect
73. #15418C22semidirect
74. #15403C22semidirect
75. #15320C22semidirect
76. #15315C22semidirect
77. #15273C22semidirect
78. #15263C22semidirect
79. #14955C22semidirect
80. #14945C22semidirect
81. #14935C22semidirect
82. #14927C22semidirect
83. #14918C22semidirect
84. #14911C22semidirect
85. #14886C22semidirect
86. #14811C22semidirect
87. #14760C22semidirect
88. #14751C22semidirect
89. #14726C22semidirect
90. #14726C22semidirect
91. #14725C22semidirect
92. #14725C22semidirect
93. #14724C22semidirect
94. #14724C22semidirect
95. #14722C22semidirect
96. #14716C22semidirect
97. #14715C22semidirect
98. #14715C22semidirect
99. #14681C22semidirect
100. #14680C22semidirect
101. #14680C22semidirect
102. #14679C22semidirect
103. #14338C22semidirect
104. #14338C22semidirect
105. #14335C22semidirect
106. #14149C22semidirect
107. #13992C22semidirect
108. #13991C22semidirect
109. #13991C22semidirect
110. #13968C22semidirect
111. #13967C22semidirect
112. #13967C22semidirect
113. #13960C22semidirect
114. #13903C22semidirect
115. #13902C22semidirect
116. #13902C22semidirect
117. #13877C22semidirect
118. #13877C22semidirect
119. #13867C22semidirect
120. #13867C22semidirect
121. #13867C22semidirect
122. #13867C22semidirect
123. #13867C22semidirect
124. #13867C22semidirect
125. #13794C22semidirect
154. C22×#123C23semidirect
155. C22×#121C23semidirect
156. C22×#121C23semidirect
159. C22×#120D4semidirect
166. C22×#120C23semidirect
173. C22×C4×D4C23semidirect
174. C22×C4×D4C23semidirect
175. C22×#117C23semidirect
179. C23×C22⋊C4D4semidirect
199. C23×C22⋊C4C23semidirect
212. C2×#396C23semidirect
213. C2×#394C23semidirect
214. C2×#394C23semidirect
215. C2×#394C23semidirect
216. C2×#394C23semidirect
217. C2×#394C23semidirect
230. C2×#392C23semidirect
231. C2×#392C23semidirect
232. C2×#392C23semidirect
233. C2×#392C23semidirect
248. C2×#390C23semidirect
249. C2×#390C23semidirect
250. C2×#390C23semidirect
251. C2×#390C23semidirect
252. C2×#388C23semidirect
253. C2×#388C23semidirect
254. C2×#388C23semidirect
255. C2×#388C23semidirect
256. C2×#388C23semidirect
263. C2×#386C23semidirect
264. C2×#386C23semidirect
265. C2×#386C23semidirect
266. C2×#386C23semidirect
267. C2×#386C23semidirect
268. C2×#386C23semidirect
269. C2×#386C23semidirect
270. C2×#386C23semidirect
271. C2×#386C23semidirect
272. C2×#386C23semidirect
273. C2×#386C23semidirect
274. C2×#386C23semidirect
275. C2×#386C23semidirect
282. C2×#385C23semidirect
283. C2×#385C23semidirect
284. C2×#385C23semidirect
288. C2×#381C23semidirect
293. C2×#380C23semidirect
312. C2×#379C23semidirect
318. C2×C4×C22⋊C4C23semidirect
319. C2×C4×C22⋊C4C23semidirect
324. #1443C23semidirect
325. #1442C23semidirect
326. #1441C23semidirect
327. #1441C23semidirect
328. #1441C23semidirect
329. #1440C23semidirect
330. #1440C23semidirect
331. #1440C23semidirect
332. #1439C23semidirect
333. #1439C23semidirect
334. #1439C23semidirect
335. #1439C23semidirect
336. #1439C23semidirect
337. #1439C23semidirect
338. #1439C23semidirect
339. #1439C23semidirect
340. #1439C23semidirect
341. #1439C23semidirect
342. #1439C23semidirect
343. #1438C23semidirect
344. #1438C23semidirect
345. #1438C23semidirect
346. #1438C23semidirect
347. #1438C23semidirect
348. #1438C23semidirect
349. #1438C23semidirect
350. #1438C23semidirect
351. #1438C23semidirect
352. #1437C23semidirect
353. #1437C23semidirect
354. #1436C23semidirect
355. #1434C23semidirect
364. C22⋊#95C23semidirect
365. C22⋊#95C23semidirect
452. C23×D4C2×D4semidirect
453. C23×D4C2×D4semidirect
525. C2×#120C2×D4semidirect
526. C2×#120C2×D4semidirect
595. C22×C22⋊C4C2×D4semidirect
596. C22×C22⋊C4C2×D4semidirect
831. C25#121semidirect
842. C25C22×D4semidirect
976. C22×D4C22×D4semidirect
977. C22×D4C22×D4semidirect
1055. C23×C4C22×D4semidirect
1056. C23×C4C22×D4semidirect
1217. C2×C22⋊C4C22×D4semidirect
1218. C2×C22⋊C4C22×D4semidirect
1644. C22×C4#534semidirect

Maximal subgroups

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

subgroupindex
C2×#349802
C23×#3922
C2×#341982
#49289482
#49289402
#44532612
#44532602
#7659432
#7638222
#6954462
#6862452
#6862422
#6862142
#6141922
#6127932
#6127922
#5174172
#5174112