Finite Group Databasebeta

← C2×#656426 #72339412

Subgroups — C2×#656426 #72339412

Order 1024.

38829 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#2486C211yesmaximal, characteristic, complemented
2C22×#2344C211yesmaximal, characteristic, complemented
3C22×C4×#120C211yesmaximal, characteristic
4C23×#380C211yesmaximal, characteristic, complemented
5#656426C2132yesmaximal, direct product factor
6C2×#15795C214yesmaximal, complemented
7C2×#15786C214yesmaximal, complemented
8C2×#15220C212yesmaximal, complemented
9C2×#15181C212yesmaximal, complemented
10C2×#14919C212yesmaximal, complemented
11C2×#14911C212yesmaximal
12C2×#14680C211yesmaximal, characteristic, complemented
13C2×#14135C212yesmaximal, complemented
14C2×#13993C212yesmaximal, complemented
15C2×#13905C212yesmaximal, complemented
16C2×#13881C211yesmaximal, characteristic, complemented
17C2×#13872C211yesmaximal, characteristic, complemented
18C2×#13868C212yesmaximal, complemented
19C26×C4C2211yescharacteristic
20C23×#123C2212yes—
21C23×#120C2211yescharacteristic
22C23×C4×D4C2211yescharacteristic
23C23×C4×D4C2212yes—
24C23×#117C2212yes—
25C24×C4⋊C4C2211yescharacteristic
26C24×C4⋊C4C2211yescharacteristic
27C24×C22⋊C4C2212yes—
28C2×#2486—216no—
29C2×#2486C22116yescomplemented
30C22×#398C2212yescomplemented
31C22×#397C2212yescomplemented
32C2×#2344—216no—
33C2×#2344C22116yescomplemented
34C2×C4×#120—216no—
35C2×C4×#120C22116yes—
36C22×#389C2211yescharacteristic, complemented
37C22×#389C2212yescomplemented
38C22×#389C2211yescharacteristic, complemented
39C22×#387C2214yescomplemented
40C22×#386C2211yescharacteristic
41C22×#386C2212yes—
42C22×#386C2212yes—
43C22×#385C2212yes—
44C22×#385C2211yescharacteristic
45C22×#382C2212yescomplemented
46C22×#381C2212yes—
47C22×#381C2212yes—
48C22×#380—216no—
49C22×#380C2211yescharacteristic
50C22×#380C2212yes—
51C22×#380C2212yes—
52C22×#380C2214yes—
53C22×#380C2211yescharacteristic
54C22×#380C2212yes—
55C22×#380C2212yes—
56C22×#380C22116yescomplemented
57C22×#380C2211yescharacteristic, complemented
58C22×#380C2211yescharacteristic, complemented
59C22×#380C2212yescomplemented
60C22×#379C2211yescharacteristic
61C22×#379C2212yes—
62C22×C4×C4⋊C4C2212yescomplemented
63C22×C4×C22⋊C4C2212yes—
64C22×C4×C22⋊C4C2211yescharacteristic
65C23×#95C2212yes—
66#15795C22164yescomplemented
67#15786C22164yescomplemented
68#15220C22132yescomplemented
69#15181C22132yescomplemented
70#14919C22132yescomplemented
71#14911C22132yes—
72#14680C22116yescomplemented
73#14135C22132yescomplemented
74#13993C22132yescomplemented
75#13905C22132yescomplemented
76#13881C22116yescomplemented
77#13872C22116yescomplemented
78#13868C22132yescomplemented
79C2×#1445C2214yescomplemented
80C2×#1443C2214yescomplemented
81C2×#1443C2214yescomplemented
82C2×#1442C2214yescomplemented
83C2×#1442C2214yescomplemented
84C2×#1441C2212yescomplemented
85C2×#1441C2214yescomplemented
86C2×#1439C2214yes—
87C2×#1439C2214yes—
88C2×#1439C2214yes—
89C2×#1439C2214yes—
90C2×#1439C2212yescomplemented
91C2×#1439C2214yescomplemented
92C2×#1438C2214yes—
93C2×#1438C2214yes—
94C2×#1437C2214yes—
95C2×#1437C2214yes—
96C2×#1437C2214yescomplemented
97C2×#1436C2214yescomplemented
98C2×C4⋊#95C2212yescomplemented
99C2×C4⋊#95C2212yescomplemented
100C2×C22⋊#95C2212yes—
101C2×C22⋊#95C2212yes—
102C2×C22⋊#95C2212yes—
103C2×C22⋊#95C2212yes—
104C2×C22⋊#95C2214yes—
105C27C2311yescharacteristic
106C24×D4C2311yescharacteristic
107C24×D4C2312yes—
108C25×C4—28no—
109C25×C4—216no—
110C25×C4—28no—
111C25×C4—28no—
112C25×C4—48no—
113C25×C4C2311yescharacteristic
114C25×C4C2312yes—
115C25×C4C2312yes—
116C25×C4C2318yes—
117C25×C4C2311yescharacteristic
118C25×C4C2312yes—
119C25×C4C2311yescharacteristic
120C25×C4C2312yes—
121C22×#123—216no—
122C22×#123—216no—
123C22×#123—48no—
124C22×#123C23116yes—
125C22×#120—28no—
126C22×#120—28no—
127C22×#120—28no—
128C22×#120C2318yes—
129C22×C4×D4—216no—
130C22×C4×D4—28no—
131C22×C4×D4—28no—
132C22×C4×D4—216no—
133C22×C4×D4—28no—
134C22×C4×D4—48no—
135C22×C4×D4C2318yes—
136C22×C4×D4C23116yes—
137C22×#117—216no—
138C22×#117—48no—
139C22×#117—48no—
140C22×#117C23116yes—
141C23×C4⋊C4—28no—
142C23×C4⋊C4—28no—
143C23×C4⋊C4—28no—
144C23×C4⋊C4—48no—
145C23×C4⋊C4D4116yescomplemented
146C23×C4⋊C4C2311yescharacteristic
147C23×C4⋊C4C2312yes—
148C23×C4⋊C4C2311yescharacteristic
149C23×C4⋊C4C2312yes—
150C23×C4⋊C4C2311yescharacteristic
151C23×C4⋊C4C2312yes—
152C23×C4⋊C4C2312yes—
153C23×C4⋊C4C2312yes—
154C23×C4⋊C4C2311yescharacteristic
155C23×C4⋊C4C2311yescharacteristic
156C23×C4⋊C4C2312yes—
157C23×C4⋊C4C2318yes—
158C23×C4⋊C4C2314yes—
159C23×C4⋊C4C2312yes—
160C23×C4⋊C4C2318yes—
161C23×C22⋊C4—216no—
162C23×C22⋊C4—216no—
163C23×C22⋊C4—48no—
164C23×C22⋊C4C2312yes—
165C23×C22⋊C4C2311yescharacteristic
166C23×C22⋊C4C2312yes—
167C23×C22⋊C4C2311yescharacteristic
168C23×C22⋊C4C2312yes—
169C23×C22⋊C4C2312yes—
170C23×C22⋊C4C2312yes—
171C23×C22⋊C4C2314yes—
172C23×C22⋊C4C2314yes—
173C23×C22⋊C4C2312yes—
174C23×C22⋊C4C2312yes—
175C23×C22⋊C4C2312yes—
176C23×C22⋊C4C23116yes—
177C23×C22⋊C4C2311yescharacteristic
178C23×C22⋊C4C2311yescharacteristic
179C23×C22⋊C4C2314yes—
180C23×C22⋊C4C2314yes—
181C23×C22⋊C4C2314yes—
182C23×C42C2311yescharacteristic
183C23×C42C2312yes—
184C23×C42C2314yes—
185#2486—2128no—
186C2×#398—216no—
187C2×#398C23116yescomplemented
188C2×#397—216no—
189C2×#397C23116yescomplemented
190#2344—2128no—
191C4×#120—2128no—
192C2×#389—216no—
193C2×#389—28no—
194C2×#389—28no—
195C2×#389C23116yescomplemented
196C2×#389C2318yescomplemented
197C2×#389C2318yescomplemented
198C2×#387—232no—
199C2×#387C23132yescomplemented
200C2×#386—216no—
201C2×#386—28no—
202C2×#386—48no—
203C2×#386C2318yes—
204C2×#386C23116yes—
205C2×#386C23116yes—
206C2×#385—216no—
207C2×#385—28no—
208C2×#385C2318yes—
209C2×#385C23116yes—
210C2×#382—48no—
211C2×#382C23116yescomplemented
212C2×#381—216no—
213C2×#381—216no—
214C2×#381C23116yes—
215C2×#381C23116yes—
216C2×#380—28no—
217C2×#380—28no—
218C2×#380—216no—
219C2×#380—28no—
220C2×#380—28no—
221C2×#380—232no—
222C2×#380—216no—
223C2×#380—216no—
224C2×#380—2128no—
225C2×#380—48no—
226C2×#380—48no—
227C2×#380C2318yes—
228C2×#380C2318yes—
229C2×#380C23116yes—
230C2×#380C23116yes—
231C2×#380C23116yes—
232C2×#380C23132yes—
233C2×#380C23116yes—
234C2×#380C2318yescomplemented
235C2×#380C2318yescomplemented
236C2×#380C23116yescomplemented
237C2×#379—28no—
238C2×#379—48no—
239C2×#379C2318yes—
240C2×#379C23116yes—
241C2×C4×C4⋊C4—216no—
242C2×C4×C4⋊C4C23116yescomplemented
243C2×C4×C22⋊C4—216no—
244C2×C4×C22⋊C4D4116yes—
245C2×C4×C22⋊C4C23116yes—
246C2×C4×C22⋊C4C2318yes—
247C22×#95—216no—
248C22×#95C2314yes—
249C22×#95C2314yes—
250C22×#95C2312yes—
251C22×#95C2312yes—
252C22×#95C2314yes—
253C22×#95C2312yes—
254C22×#95C2314yes—
255C22×#95C2312yes—
256C22×#95C2312yes—
257C22×#95C2312yes—
258C22×#95C2312yes—
259C22×#95C2314yes—
260C22×#95C2312yes—
261C22×#95C23116yes—
262C22×#95C2314yes—
263C22×#95C2314yes—
264C22×#95C2314yes—
265C22×#95C2314yes—
266C22×#95C2314yes—
267C22×#95C2314yes—
268C22×#95C2314yes—
269C22×#95C2314yes—
270C22×#95C2312yes—
271#1445C23132yescomplemented
272#1443C23132yescomplemented
273#1443C23132yescomplemented
274#1442C23132yescomplemented
275#1442C23132yescomplemented
276#1441C23116yescomplemented
277#1441C23132yescomplemented
278#1439C23132yes—
279#1439C23132yes—
280#1439C23132yes—
281#1439C23132yes—
282#1439C23116yescomplemented
283#1439C23132yescomplemented
284#1438C23132yes—
285#1438C23132yes—
286#1437C23132yes—
287#1437C23132yes—
288#1437C23132yescomplemented
289#1436C23132yescomplemented
290C4⋊#95C23116yescomplemented
291C4⋊#95C23116yescomplemented
292C22⋊#95C23116yes—
293C22⋊#95C23116yes—
294C22⋊#95C23116yes—
295C22⋊#95C23116yes—
296C22⋊#95C23132yes—
297C26—24no—
298C26—28no—
299C26—24no—
300C26—28no—
301C26—24no—
302C26—24no—
303C26—24no—
304C26—24no—
305C26—44no—
306C26—44no—
307C26#4118yes—
308C26C2411yescharacteristic
309C26C2412yes—
310C26C2414yes—
311C26C2411yescharacteristic
312C23×D4—24no—
313C23×D4—24no—
314C23×D4—24no—
315C23×D4—28no—
316C23×D4—28no—
317C23×D4—24no—
318C23×D4—24no—
319C23×D4—24no—
320C23×D4—28no—
321C23×D4—28no—
322C23×D4—28no—
323C23×D4—44no—
324C23×D4—44no—
325C23×D4#4118yes—
326C23×D4C2414yes—
327C23×D4C2418yes—
328C24×C4—28no—
329C24×C4—28no—
330C24×C4—2128no—
331C24×C4—24no—
332C24×C4—28no—
333C24×C4—28no—
334C24×C4—28no—
335C24×C4—28no—
336C24×C4—28no—
337C24×C4—28no—
338C24×C4—28no—
339C24×C4—28no—
340C24×C4—28no—
341C24×C4—232no—
342C24×C4—28no—
343C24×C4—28no—
344C24×C4—264no—
345C24×C4—28no—
346C24×C4—28no—
347C24×C4—28no—
348C24×C4—28no—
349C24×C4—28no—
350C24×C4—24no—
351C24×C4—28no—
352C24×C4—24no—
353C24×C4—28no—
354C24×C4—28no—
355C24×C4—28no—
356C24×C4—232no—
357C24×C4—24no—
358C24×C4—24no—
359C24×C4—28no—
360C24×C4—232no—
361C24×C4—24no—
362C24×C4—28no—
363C24×C4—28no—
364C24×C4—432no—
365C24×C4—44no—
366C24×C4—44no—
367C24×C4—44no—
368C24×C4—4128no—
369C24×C4—4128no—
370C24×C4—48no—
371C24×C4—48no—
372C24×C4—464no—
373C24×C4—464no—
374C24×C4C2×D4116yes—
375C24×C4C2×D418yes—
376C24×C4C2×D418yes—
377C24×C4#41116yes—
378C24×C4#4118yes—
379C24×C4C2414yes—
380C24×C4C2411yescharacteristic
381C24×C4C2414yes—
382C24×C4C2414yes—
383C24×C4C2411yescharacteristic
384C24×C4C2412yes—
385C24×C4C2412yes—
386C24×C4C2418yes—
387C24×C4C2412yes—
388C24×C4C2412yes—
389C24×C4C2412yes—
390C24×C4C2412yes—
391C24×C4C2418yes—
392C24×C4C2412yes—
393C24×C4C2411yescharacteristic
394C24×C4C2414yes—
395C24×C4C2418yes—
396C24×C4C2414yes—
397C24×C4C2411yescharacteristic
398C24×C4C2418yes—
399C24×C4C2411yescharacteristic
400C2×#123—264no—
401C2×#123—264no—
402C2×#123—432no—
403C2×#123—4128no—
404C2×#120—2128no—
405C2×#120—232no—
406C2×#120—232no—
407C2×#120—232no—
408C2×C4×D4—232no—
409C2×C4×D4—232no—
410C2×C4×D4—264no—
411C2×C4×D4—232no—
412C2×C4×D4—264no—
413C2×C4×D4—432no—
414C2×C4×D4—4128no—
415C2×C4×D4—464no—
416C2×#117—264no—
417C2×#117—432no—
418C2×#117—432no—
419C2×#117—4128no—
420C22×C4⋊C4—2128no—
421C22×C4⋊C4—232no—
422C22×C4⋊C4—24no—
423C22×C4⋊C4—28no—
424C22×C4⋊C4—24no—
425C22×C4⋊C4—28no—
426C22×C4⋊C4—24no—
427C22×C4⋊C4—24no—
428C22×C4⋊C4—232no—
429C22×C4⋊C4—24no—
430C22×C4⋊C4—28no—
431C22×C4⋊C4—28no—
432C22×C4⋊C4—28no—
433C22×C4⋊C4—232no—
434C22×C4⋊C4—28no—
435C22×C4⋊C4—216no—
436C22×C4⋊C4—28no—
437C22×C4⋊C4—24no—
438C22×C4⋊C4—28no—
439C22×C4⋊C4—24no—
440C22×C4⋊C4—24no—
441C22×C4⋊C4—28no—
442C22×C4⋊C4—24no—
443C22×C4⋊C4—28no—
444C22×C4⋊C4—28no—
445C22×C4⋊C4—28no—
446C22×C4⋊C4—28no—
447C22×C4⋊C4—28no—
448C22×C4⋊C4—28no—
449C22×C4⋊C4—28no—
450C22×C4⋊C4—28no—
451C22×C4⋊C4—432no—
452C22×C4⋊C4—48no—
453C22×C4⋊C4—48no—
454C22×C4⋊C4—48no—
455C22×C4⋊C4—44no—
456C22×C4⋊C4—44no—
457C22×C4⋊C4—44no—
458C22×C4⋊C4—464no—
459C22×C4⋊C4C2×D4116yes—
460C22×C4⋊C4C2×D418yes—
461C22×C4⋊C4C2×D418yes—
462C22×C4⋊C4C2×D4164yescomplemented
463C22×C4⋊C4C2414yes—
464C22×C4⋊C4C2418yes—
465C22×C4⋊C4C2414yes—
466C22×C4⋊C4C2418yes—
467C22×C4⋊C4C2414yes—
468C22×C4⋊C4C2418yes—
469C22×C4⋊C4C2418yes—
470C22×C4⋊C4C2418yes—
471C22×C4⋊C4C2418yes—
472C22×C4⋊C4C2414yes—
473C22×C4⋊C4C2414yes—
474C22×C4⋊C4C2418yes—
475C22×C4⋊C4C24116yes—
476C22×C22⋊C4—28no—
477C22×C22⋊C4—24no—
478C22×C22⋊C4—24no—
479C22×C22⋊C4—24no—
480C22×C22⋊C4—24no—
481C22×C22⋊C4—28no—
482C22×C22⋊C4—28no—
483C22×C22⋊C4—28no—
484C22×C22⋊C4—24no—
485C22×C22⋊C4—24no—
486C22×C22⋊C4—28no—
487C22×C22⋊C4—216no—
488C22×C22⋊C4—216no—
489C22×C22⋊C4—264no—
490C22×C22⋊C4—28no—
491C22×C22⋊C4—24no—
492C22×C22⋊C4—28no—
493C22×C22⋊C4—28no—
494C22×C22⋊C4—28no—
495C22×C22⋊C4—28no—
496C22×C22⋊C4—28no—
497C22×C22⋊C4—28no—
498C22×C22⋊C4—28no—
499C22×C22⋊C4—24no—
500C22×C22⋊C4—28no—
501C22×C22⋊C4—28no—
502C22×C22⋊C4—216no—
503C22×C22⋊C4—216no—
504C22×C22⋊C4—264no—
505C22×C22⋊C4—28no—
506C22×C22⋊C4—28no—
507C22×C22⋊C4—24no—
508C22×C22⋊C4—28no—
509C22×C22⋊C4—28no—
510C22×C22⋊C4—24no—
511C22×C22⋊C4—216no—
512C22×C22⋊C4—216no—
513C22×C22⋊C4—48no—
514C22×C22⋊C4—432no—
515C22×C22⋊C4—48no—
516C22×C22⋊C4—44no—
517C22×C22⋊C4—44no—
518C22×C22⋊C4—44no—
519C22×C22⋊C4—44no—
520C22×C22⋊C4—44no—
521C22×C22⋊C4—4128no—
522C22×C22⋊C4—48no—
523C22×C22⋊C4—48no—
524C22×C22⋊C4—48no—
525C22×C22⋊C4—48no—
526C22×C22⋊C4—48no—
527C22×C22⋊C4—48no—
528C22×C22⋊C4—48no—
529C22×C22⋊C4C2×D418yes—
530C22×C22⋊C4C2×D418yes—
531C22×C22⋊C4C2414yes—
532C22×C22⋊C4C2418yes—
533C22×C22⋊C4C2414yes—
534C22×C22⋊C4C2418yes—
535C22×C22⋊C4C2418yes—
536C22×C22⋊C4C2418yes—
537C22×C22⋊C4C2418yes—
538C22×C22⋊C4C24116yes—
539C22×C22⋊C4C24116yes—
540C22×C22⋊C4C2418yes—
541C22×C22⋊C4C2418yes—
542C22×C22⋊C4C2418yes—
543C22×C22⋊C4C2414yes—
544C22×C22⋊C4C2414yes—
545C22×C22⋊C4C24116yes—
546C22×C22⋊C4C24116yes—
547C22×C22⋊C4C24116yes—
548C22×C42—28no—
549C22×C42—28no—
550C22×C42—216no—
551C22×C42—24no—
552C22×C42—24no—
553C22×C42—24no—
554C22×C42—48no—
555C22×C42—48no—
556C22×C42C2×D4116yes—
557C22×C42C2414yes—
558C22×C42C2418yes—
559C22×C42C24116yes—
560#398—264no—
561#397—264no—
562#389—232no—
563#389—232no—
564#389—264no—
565#387—2128no—
566#386—232no—
567#386—264no—
568#386—432no—
569#385—232no—
570#385—264no—
571#382—432no—
572#381—264no—
573#381—264no—
574#380—232no—
575#380—232no—
576#380—264no—
577#380—232no—
578#380—232no—
579#380—264no—
580#380—264no—
581#380—2128no—
582#380—432no—
583#380—432no—
584#379—232no—
585#379—432no—
586C4×C4⋊C4—264no—
587C4×C22⋊C4—264no—
588C4×C22⋊C4C2×D4164yes—
589C2×#95—28no—
590C2×#95—28no—
591C2×#95—28no—
592C2×#95—28no—
593C2×#95—28no—
594C2×#95—216no—
595C2×#95—216no—
596C2×#95—264no—
597C2×#95—28no—
598C2×#95—28no—
599C2×#95—216no—
600C2×#95—28no—
601C2×#95—216no—
602C2×#95—216no—
603C2×#95—48no—
604C2×#95—48no—
605C2×#95—48no—
606C2×#95—48no—
607C2×#95—48no—
608C2×#95—48no—
609C2×#95—48no—
610C2×#95—48no—
611C2×#95C2×D4116yes—
612C2×#95C2418yes—
613C2×#95C2418yes—
614C2×#95C2418yes—
615C2×#95C2418yes—
616C2×#95C2418yes—
617C2×#95C24116yes—
618C2×#95C2418yes—
619C2×#95C2418yes—
620C2×#95C24116yes—
621C2×#95C24116yes—
622C2×#95C24116yes—
623C2×#95C24116yes—
624C2×#95C2418yes—
625C2×#95C24116yes—
626C2×#95C24116yes—
627C2×#95C24116yes—
628C2×#95C24116yes—
629C2×#95C24116yes—
630C2×#95C24116yes—
631C2×#95C24116yes—
632C2×#95C24116yes—
633C2×#95C2418yes—
634C25—24no—
635C25—24no—
636C25—24no—
637C25—24no—
638C25—232no—
639C25—232no—
640C25—264no—
641C25—232no—
642C25—264no—
643C25—28no—
644C25—24no—
645C25—24no—
646C25—24no—
647C25—216no—
648C25—24no—
649C25—24no—
650C25—28no—
651C25—24no—
652C25—24no—
653C25—24no—
654C25—24no—
655C25—216no—
656C25—24no—
657C25—24no—
658C25—24no—
659C25—232no—
660C25—232no—
661C25—22no—
662C25—22no—
663C25—28no—
664C25—22no—
665C25—24no—
666C25—28no—
667C25—28no—
668C25—22no—
669C25—22no—
670C25—22no—
671C25—24no—
672C25—28no—
673C25—24no—
674C25—24no—
675C25—48no—
676C25—432no—
677C25—48no—
678C25—432no—
679C25—432no—
680C25—432no—
681C25—432no—
682C25—432no—
683C25—432no—
684C25—432no—
685C25—432no—
686C25—416no—
687C25—416no—
688C25—432no—
689C25—416no—
690C25—416no—
691C25—416no—
692C25—416no—
693C25C22×D414yes—
694C25C22×D414yes—
695C25C2×#4114yes—
696C25C2×#4118yes—
697C25C2×#4118yes—
698C25C2×#41116yes—
699C25C2×#4114yes—
700C25C2×#4114yes—
701C25C2×#4114yes—
702C25H(5,𝔽2)14yes—
703C25H(5,𝔽2)14yes—
704C252−1+418yes—
705C25C2512yes—
706C25C2514yes—
707C25C2512yes—
708C25C2511yescharacteristic
709C22×D4—264no—
710C22×D4—232no—
711C22×D4—232no—
712C22×D4—232no—
713C22×D4—28no—
714C22×D4—28no—
715C22×D4—28no—
716C22×D4—216no—
717C22×D4—216no—
718C22×D4—28no—
719C22×D4—28no—
720C22×D4—28no—
721C22×D4—216no—
722C22×D4—216no—
723C22×D4—216no—
724C22×D4—48no—
725C22×D4—48no—
726C22×D4—432no—
727C22×D4—432no—
728C22×D4—432no—
729C22×D4—432no—
730C22×D4—432no—
731C22×D4—416no—
732C22×D4—416no—
733C22×D4—416no—
734C22×D4—432no—
735C22×D4—416no—
736C22×D4C2×#41116yes—
737C23×C4—24no—
738C23×C4—24no—
739C23×C4—232no—
740C23×C4—232no—
741C23×C4—264no—
742C23×C4—264no—
743C23×C4—216no—
744C23×C4—216no—
745C23×C4—264no—
746C23×C4—2256no—
747C23×C4—232no—
748C23×C4—264no—
749C23×C4—264no—
750C23×C4—264no—
751C23×C4—22no—
752C23×C4—24no—
753C23×C4—22no—
754C23×C4—24no—
755C23×C4—216no—
756C23×C4—24no—
757C23×C4—28no—
758C23×C4—24no—
759C23×C4—216no—
760C23×C4—24no—
761C23×C4—24no—
762C23×C4—24no—
763C23×C4—24no—
764C23×C4—22no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—24no—
768C23×C4—216no—
769C23×C4—24no—
770C23×C4—24no—
771C23×C4—24no—
772C23×C4—22no—
773C23×C4—216no—
774C23×C4—216no—
775C23×C4—24no—
776C23×C4—24no—
777C23×C4—24no—
778C23×C4—24no—
779C23×C4—24no—
780C23×C4—216no—
781C23×C4—24no—
782C23×C4—24no—
783C23×C4—24no—
784C23×C4—24no—
785C23×C4—24no—
786C23×C4—22no—
787C23×C4—24no—
788C23×C4—216no—
789C23×C4—24no—
790C23×C4—22no—
791C23×C4—24no—
792C23×C4—24no—
793C23×C4—24no—
794C23×C4—24no—
795C23×C4—264no—
796C23×C4—264no—
797C23×C4—264no—
798C23×C4—216no—
799C23×C4—216no—
800C23×C4—216no—
801C23×C4—216no—
802C23×C4—216no—
803C23×C4—216no—
804C23×C4—216no—
805C23×C4—216no—
806C23×C4—216no—
807C23×C4—22no—
808C23×C4—22no—
809C23×C4—216no—
810C23×C4—28no—
811C23×C4—24no—
812C23×C4—24no—
813C23×C4—22no—
814C23×C4—28no—
815C23×C4—22no—
816C23×C4—28no—
817C23×C4—24no—
818C23×C4—24no—
819C23×C4—28no—
820C23×C4—22no—
821C23×C4—22no—
822C23×C4—24no—
823C23×C4—28no—
824C23×C4—28no—
825C23×C4—28no—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4—28no—
829C23×C4—28no—
830C23×C4—28no—
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—28no—
834C23×C4—24no—
835C23×C4—28no—
836C23×C4—24no—
837C23×C4—28no—
838C23×C4—28no—
839C23×C4—28no—
840C23×C4—28no—
841C23×C4—28no—
842C23×C4—24no—
843C23×C4—28no—
844C23×C4—216no—
845C23×C4—216no—
846C23×C4—28no—
847C23×C4—28no—
848C23×C4—216no—
849C23×C4—28no—
850C23×C4—216no—
851C23×C4—216no—
852C23×C4—216no—
853C23×C4—48no—
854C23×C4—48no—
855C23×C4—48no—
856C23×C4—432no—
857C23×C4—432no—
858C23×C4—4256no—
859C23×C4—4256no—
860C23×C4—416no—
861C23×C4—416no—
862C23×C4—432no—
863C23×C4—432no—
864C23×C4—432no—
865C23×C4—432no—
866C23×C4—432no—
867C23×C4—41024no—
868C23×C4—4128no—
869C23×C4—416no—
870C23×C4—416no—
871C23×C4—432no—
872C23×C4—432no—
873C23×C4—432no—
874C23×C4—432no—
875C23×C4—432no—
876C23×C4—4128no—
877C23×C4—432no—
878C23×C4—432no—
879C23×C4—432no—
880C23×C4—432no—
881C23×C4—432no—
882C23×C4—432no—
883C23×C4—432no—
884C23×C4—416no—
885C23×C4—416no—
886C23×C4—416no—
887C23×C4—432no—
888C23×C4—432no—
889C23×C4—832no—
890C23×C4—832no—
891C23×C4#121164yes—
892C23×C4C22×D418yes—
893C23×C4C22×D418yes—
894C23×C4C22×D418yes—
895C23×C4C22×D4132yes—
896C23×C4C22×D418yes—
897C23×C4C22×D414yes—
898C23×C4C22×D414yes—
899C23×C4C22×D4116yes—
900C23×C4C22×D4116yes—
901C23×C4C22×D414yes—
902C23×C4C22×D414yes—
903C23×C4C2×#4114yes—
904C23×C4C2×#4118yes—
905C23×C4C2×#41132yes—
906C23×C4C2×#4114yes—
907C23×C4C2×#41116yes—
908C23×C4C2×#4114yes—
909C23×C4C2×#4118yes—
910C23×C4H(5,𝔽2)18yes—
911C23×C4C2514yes—
912C23×C4C2514yes—
913C23×C4C2518yes—
914C23×C4C2512yes—
915C23×C4C2512yes—
916C23×C4C2518yes—
917C23×C4C2514yes—
918C23×C4C2514yes—
919C23×C4C2514yes—
920C23×C4C2514yes—
921C23×C4C2512yes—
922C23×C4C2514yes—
923C23×C4C2512yes—
924C23×C4C2512yes—
925#123—4256no—
926#120—2256no—
927C4×D4—4256no—
928C4×D4—4128no—
929#117—4256no—
930C2×C4⋊C4—264no—
931C2×C4⋊C4—232no—
932C2×C4⋊C4—232no—
933C2×C4⋊C4—2256no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—216no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—216no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—28no—
940C2×C4⋊C4—216no—
941C2×C4⋊C4—216no—
942C2×C4⋊C4—232no—
943C2×C4⋊C4—216no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—216no—
947C2×C4⋊C4—216no—
948C2×C4⋊C4—216no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—216no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—216no—
954C2×C4⋊C4—216no—
955C2×C4⋊C4—216no—
956C2×C4⋊C4—216no—
957C2×C4⋊C4—216no—
958C2×C4⋊C4—216no—
959C2×C4⋊C4—216no—
960C2×C4⋊C4—216no—
961C2×C4⋊C4—416no—
962C2×C4⋊C4—416no—
963C2×C4⋊C4—416no—
964C2×C4⋊C4—48no—
965C2×C4⋊C4—48no—
966C2×C4⋊C4—48no—
967C2×C4⋊C4—432no—
968C2×C4⋊C4—432no—
969C2×C4⋊C4—432no—
970C2×C4⋊C4—432no—
971C2×C4⋊C4—4128no—
972C2×C4⋊C4—464no—
973C2×C4⋊C4—416no—
974C2×C4⋊C4—416no—
975C2×C4⋊C4—416no—
976C2×C4⋊C4—432no—
977C2×C4⋊C4—432no—
978C2×C4⋊C4C22×D4116yes—
979C2×C4⋊C4C22×D4116yes—
980C2×C4⋊C4C22×D4132yes—
981C2×C22⋊C4—264no—
982C2×C22⋊C4—232no—
983C2×C22⋊C4—232no—
984C2×C22⋊C4—216no—
985C2×C22⋊C4—28no—
986C2×C22⋊C4—28no—
987C2×C22⋊C4—28no—
988C2×C22⋊C4—28no—
989C2×C22⋊C4—216no—
990C2×C22⋊C4—216no—
991C2×C22⋊C4—216no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—28no—
994C2×C22⋊C4—216no—
995C2×C22⋊C4—232no—
996C2×C22⋊C4—232no—
997C2×C22⋊C4—216no—
998C2×C22⋊C4—28no—
999C2×C22⋊C4—216no—
1000C2×C22⋊C4—216no—
1001C2×C22⋊C4—216no—
1002C2×C22⋊C4—216no—
1003C2×C22⋊C4—216no—
1004C2×C22⋊C4—216no—
1005C2×C22⋊C4—216no—
1006C2×C22⋊C4—232no—
1007C2×C22⋊C4—232no—
1008C2×C22⋊C4—216no—
1009C2×C22⋊C4—216no—
1010C2×C22⋊C4—28no—
1011C2×C22⋊C4—28no—
1012C2×C22⋊C4—216no—
1013C2×C22⋊C4—216no—
1014C2×C22⋊C4—216no—
1015C2×C22⋊C4—216no—
1016C2×C22⋊C4—28no—
1017C2×C22⋊C4—232no—
1018C2×C22⋊C4—232no—
1019C2×C22⋊C4—416no—
1020C2×C22⋊C4—416no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4—432no—
1027C2×C22⋊C4—432no—
1028C2×C22⋊C4—4256no—
1029C2×C22⋊C4—464no—
1030C2×C22⋊C4—464no—
1031C2×C22⋊C4—432no—
1032C2×C22⋊C4—432no—
1033C2×C22⋊C4—432no—
1034C2×C22⋊C4—416no—
1035C2×C22⋊C4—432no—
1036C2×C22⋊C4—432no—
1037C2×C22⋊C4—416no—
1038C2×C22⋊C4—416no—
1039C2×C22⋊C4—416no—
1040C2×C22⋊C4—416no—
1041C2×C22⋊C4—416no—
1042C2×C22⋊C4—416no—
1043C2×C22⋊C4—416no—
1044C2×C22⋊C4—416no—
1045C2×C22⋊C4—832no—
1046C2×C22⋊C4—832no—
1047C2×C22⋊C4—832no—
1048C2×C22⋊C4C22×D4116yes—
1049C2×C22⋊C4C22×D4116yes—
1050C2×C42—264no—
1051C2×C42—216no—
1052C2×C42—216no—
1053C2×C42—232no—
1054C2×C42—28no—
1055C2×C42—28no—
1056C2×C42—28no—
1057C2×C42—416no—
1058C2×C42—416no—
1059C2×C42—464no—
1060C2×C42—416no—
1061C2×C42C22×D4132yes—
1062#95—232no—
1063#95—232no—
1064#95—216no—
1065#95—216no—
1066#95—232no—
1067#95—216no—
1068#95—216no—
1069#95—216no—
1070#95—216no—
1071#95—232no—
1072#95—216no—
1073#95—216no—
1074#95—232no—
1075#95—416no—
1076#95—416no—
1077#95—416no—
1078#95—416no—
1079#95—416no—
1080#95—416no—
1081#95—416no—
1082#95—416no—
1083#95C22×D4132yes—
1084C24—24no—
1085C24—24no—
1086C24—24no—
1087C24—24no—
1088C24—28no—
1089C24—28no—
1090C24—216no—
1091C24—216no—
1092C24—216no—
1093C24—216no—
1094C24—28no—
1095C24—28no—
1096C24—216no—
1097C24—216no—
1098C24—216no—
1099C24—216no—
1100C24—216no—
1101C24—216no—
1102C24—216no—
1103C24—216no—
1104C24—232no—
1105C24—264no—
1106C24—232no—
1107C24—2256no—
1108C24—24no—
1109C24—24no—
1110C24—24no—
1111C24—24no—
1112C24—24no—
1113C24—24no—
1114C24—24no—
1115C24—24no—
1116C24—24no—
1117C24—24no—
1118C24—24no—
1119C24—24no—
1120C24—216no—
1121C24—216no—
1122C24—232no—
1123C24—216no—
1124C24—216no—
1125C24—216no—
1126C24—264no—
1127C24—216no—
1128C24—216no—
1129C24—216no—
1130C24—216no—
1131C24—216no—
1132C24—216no—
1133C24—216no—
1134C24—216no—
1135C24—216no—
1136C24—216no—
1137C24—216no—
1138C24—216no—
1139C24—216no—
1140C24—22no—
1141C24—22no—
1142C24—22no—
1143C24—24no—
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—24no—
1148C24—24no—
1149C24—24no—
1150C24—232no—
1151C24—28no—
1152C24—28no—
1153C24—28no—
1154C24—232no—
1155C24—216no—
1156C24—216no—
1157C24—432no—
1158C24—432no—
1159C24—432no—
1160C24—432no—
1161C24—432no—
1162C24—4256no—
1163C24—4256no—
1164C24—432no—
1165C24—432no—
1166C24—432no—
1167C24—432no—
1168C24—4128no—
1169C24—416no—
1170C24—4128no—
1171C24—416no—
1172C24—4256no—
1173C24—4128no—
1174C24—4128no—
1175C24—4256no—
1176C24—4128no—
1177C24—432no—
1178C24—416no—
1179C24—48no—
1180C24—48no—
1181C24—416no—
1182C24—48no—
1183C24—48no—
1184C24—416no—
1185C24—48no—
1186C24—48no—
1187C24—416no—
1188C24—48no—
1189C24—48no—
1190C24—48no—
1191C24—48no—
1192C24—48no—
1193C24—48no—
1194C24—48no—
1195C24—48no—
1196C24—48no—
1197C24—48no—
1198C24—4128no—
1199C24—44no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24—48no—
1204C24—44no—
1205C24—48no—
1206C24—48no—
1207C24—44no—
1208C24—44no—
1209C24—44no—
1210C24—48no—
1211C24—48no—
1212C24—48no—
1213C24—48no—
1214C24—48no—
1215C24—48no—
1216C24—48no—
1217C24C2×#121116yes—
1218C24#525116yes—
1219C24#535116yes—
1220C24#546116yes—
1221C24#546116yes—
1222C24#552132yes—
1223C24#553116yes—
1224C24#553116yes—
1225C24C23×D414yes—
1226C24C23×D414yes—
1227C24C23×D412yes—
1228C24C23×D412yes—
1229C24C22×#4114yes—
1230C24C22×#4118yes—
1231C24C22×#4118yes—
1232C24C22×#4114yes—
1233C24C22×#4114yes—
1234C24C22×#4114yes—
1235C24C22×#4112yes—
1236C24C22×#4114yes—
1237C24C22×#4112yes—
1238C24C22×#4112yes—
1239C24C2×H(5,𝔽2)14yes—
1240C24C2×H(5,𝔽2)14yes—
1241C24C2×H(5,𝔽2)14yes—
1242C24C2×H(5,𝔽2)12yes—
1243C24C2×H(5,𝔽2)12yes—
1244C24C2×2−1+418yes—
1245C24C2×2−1+414yes—
1246C24#58514yes—
1247C24C2611yescharacteristic
1248C2×D4—264no—
1249C2×D4—232no—
1250C2×D4—232no—
1251C2×D4—232no—
1252C2×D4—432no—
1253C2×D4—432no—
1254C2×D4—432no—
1255C2×D4—432no—
1256C2×D4—432no—
1257C2×D4—4256no—
1258C2×D4—416no—
1259C2×D4—416no—
1260C2×D4—416no—
1261C2×D4—432no—
1262C2×D4—416no—
1263C2×D4—4128no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—216no—
1269C22×C4—216no—
1270C22×C4—2256no—
1271C22×C4—232no—
1272C22×C4—232no—
1273C22×C4—264no—
1274C22×C4—264no—
1275C22×C4—264no—
1276C22×C4—232no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—264no—
1314C22×C4—216no—
1315C22×C4—216no—
1316C22×C4—216no—
1317C22×C4—28no—
1318C22×C4—216no—
1319C22×C4—216no—
1320C22×C4—216no—
1321C22×C4—216no—
1322C22×C4—264no—
1323C22×C4—216no—
1324C22×C4—216no—
1325C22×C4—216no—
1326C22×C4—216no—
1327C22×C4—216no—
1328C22×C4—28no—
1329C22×C4—264no—
1330C22×C4—216no—
1331C22×C4—28no—
1332C22×C4—216no—
1333C22×C4—216no—
1334C22×C4—264no—
1335C22×C4—264no—
1336C22×C4—264no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—28no—
1344C22×C4—22no—
1345C22×C4—28no—
1346C22×C4—28no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—28no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—28no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—28no—
1364C22×C4—28no—
1365C22×C4—24no—
1366C22×C4—28no—
1367C22×C4—24no—
1368C22×C4—28no—
1369C22×C4—28no—
1370C22×C4—28no—
1371C22×C4—432no—
1372C22×C4—432no—
1373C22×C4—432no—
1374C22×C4—432no—
1375C22×C4—432no—
1376C22×C4—432no—
1377C22×C4—4256no—
1378C22×C4—432no—
1379C22×C4—41024no—
1380C22×C4—4128no—
1381C22×C4—416no—
1382C22×C4—44no—
1383C22×C4—416no—
1384C22×C4—48no—
1385C22×C4—432no—
1386C22×C4—48no—
1387C22×C4—48no—
1388C22×C4—48no—
1389C22×C4—48no—
1390C22×C4—432no—
1391C22×C4—48no—
1392C22×C4—44no—
1393C22×C4—48no—
1394C22×C4—44no—
1395C22×C4—48no—
1396C22×C4—48no—
1397C22×C4—432no—
1398C22×C4—432no—
1399C22×C4—48no—
1400C22×C4—48no—
1401C22×C4—48no—
1402C22×C4—48no—
1403C22×C4—44no—
1404C22×C4—48no—
1405C22×C4—48no—
1406C22×C4—48no—
1407C22×C4—48no—
1408C22×C4—48no—
1409C22×C4—48no—
1410C22×C4—48no—
1411C22×C4—4256no—
1412C22×C4—432no—
1413C22×C4—432no—
1414C22×C4—4256no—
1415C22×C4—432no—
1416C22×C4—432no—
1417C22×C4—432no—
1418C22×C4—432no—
1419C22×C4—432no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—48no—
1423C22×C4—44no—
1424C22×C4—416no—
1425C22×C4—416no—
1426C22×C4—48no—
1427C22×C4—44no—
1428C22×C4—48no—
1429C22×C4—48no—
1430C22×C4—432no—
1431C22×C4—416no—
1432C22×C4—48no—
1433C22×C4—416no—
1434C22×C4—48no—
1435C22×C4—416no—
1436C22×C4—44no—
1437C22×C4—48no—
1438C22×C4—48no—
1439C22×C4—44no—
1440C22×C4—416no—
1441C22×C4—48no—
1442C22×C4—416no—
1443C22×C4—416no—
1444C22×C4—416no—
1445C22×C4—416no—
1446C22×C4—48no—
1447C22×C4—416no—
1448C22×C4—416no—
1449C22×C4—416no—
1450C22×C4—416no—
1451C22×C4—416no—
1452C22×C4—416no—
1453C22×C4—416no—
1454C22×C4—416no—
1455C22×C4—416no—
1456C22×C4—416no—
1457C22×C4—416no—
1458C22×C4—432no—
1459C22×C4—432no—
1460C22×C4—832no—
1461C22×C4—832no—
1462C22×C4—8128no—
1463C22×C4—864no—
1464C22×C4C2×#121116yes—
1465C22×C4C2×#121164yes—
1466C22×C4C2×#121116yes—
1467C22×C4#525116yes—
1468C22×C4#535116yes—
1469C22×C4#546132yes—
1470C22×C4#551132yes—
1471C22×C4C23×D418yes—
1472C22×C4C23×D418yes—
1473C22×C4C23×D418yes—
1474C22×C4C23×D418yes—
1475C22×C4C23×D414yes—
1476C22×C4C23×D414yes—
1477C22×C4C23×D414yes—
1478C22×C4C23×D414yes—
1479C22×C4C22×#4118yes—
1480C22×C4C22×#4114yes—
1481C22×C4C22×#4114yes—
1482C22×C4C22×#4114yes—
1483C22×C4C22×#4118yes—
1484C22×C4C2×H(5,𝔽2)18yes—
1485C4⋊C4—264no—
1486C4⋊C4—232no—
1487C4⋊C4—232no—
1488C4⋊C4—432no—
1489C4⋊C4—432no—
1490C4⋊C4—432no—
1491C4⋊C4—432no—
1492C4⋊C4—464no—
1493C4⋊C4—416no—
1494C4⋊C4—416no—
1495C4⋊C4—416no—
1496C4⋊C4—432no—
1497C4⋊C4—432no—
1498C22⋊C4—264no—
1499C22⋊C4—232no—
1500C22⋊C4—232no—
1501C22⋊C4—432no—
1502C22⋊C4—432no—
1503C22⋊C4—464no—
1504C22⋊C4—464no—
1505C22⋊C4—432no—
1506C22⋊C4—432no—
1507C22⋊C4—432no—
1508C22⋊C4—416no—
1509C22⋊C4—432no—
1510C22⋊C4—432no—
1511C22⋊C4—416no—
1512C22⋊C4—832no—
1513C22⋊C4—832no—
1514C22⋊C4—832no—
1515C42—264no—
1516C42—464no—
1517C42—416no—
1518C23—28no—
1519C23—232no—
1520C23—28no—
1521C23—28no—
1522C23—28no—
1523C23—264no—
1524C23—264no—
1525C23—24no—
1526C23—232no—
1527C23—24no—
1528C23—264no—
1529C23—232no—
1530C23—232no—
1531C23—28no—
1532C23—28no—
1533C23—28no—
1534C23—232no—
1535C23—24no—
1536C23—264no—
1537C23—24no—
1538C23—28no—
1539C23—28no—
1540C23—28no—
1541C23—28no—
1542C23—232no—
1543C23—28no—
1544C23—2128no—
1545C23—28no—
1546C23—28no—
1547C23—28no—
1548C23—28no—
1549C23—28no—
1550C23—28no—
1551C23—264no—
1552C23—264no—
1553C23—28no—
1554C23—264no—
1555C23—28no—
1556C23—28no—
1557C23—28no—
1558C23—28no—
1559C23—28no—
1560C23—28no—
1561C23—28no—
1562C23—28no—
1563C23—28no—
1564C23—28no—
1565C23—28no—
1566C23—28no—
1567C23—24no—
1568C23—24no—
1569C23—24no—
1570C23—28no—
1571C23—4128no—
1572C23—4128no—
1573C23—464no—
1574C23—464no—
1575C23—464no—
1576C23—464no—
1577C23—4128no—
1578C23—41024no—
1579C23—4128no—
1580C23—464no—
1581C23—44no—
1582C23—432no—
1583C23—44no—
1584C23—432no—
1585C23—432no—
1586C23—464no—
1587C23—432no—
1588C23—44no—
1589C23—432no—
1590C23—432no—
1591C23—432no—
1592C23—432no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—432no—
1597C23—44no—
1598C23—432no—
1599C23—432no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—432no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—432no—
1614C23—42no—
1615C23—416no—
1616C23—42no—
1617C23—432no—
1618C23—416no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—42no—
1623C23—42no—
1624C23—42no—
1625C23—42no—
1626C23—44no—
1627C23—42no—
1628C23—44no—
1629C23—44no—
1630C23—42no—
1631C23—416no—
1632C23—44no—
1633C23—88no—
1634C23—816no—
1635C23—88no—
1636C23—88no—
1637C23—88no—
1638C23—816no—
1639C23#2535164yes—
1640C23C22×#12118yes—
1641C23C22×#12114yes—
1642C23C2×#52518yes—
1643C23C2×#52514yes—
1644C23C2×#52514yes—
1645C23C2×#53518yes—
1646C23C2×#53514yes—
1647C23C2×#53514yes—
1648C23C2×#54618yes—
1649C23C2×#54618yes—
1650C23C2×#54614yes—
1651C23C2×#54618yes—
1652C23C2×#54614yes—
1653C23C2×#55118yes—
1654C23C2×#552116yes—
1655C23C2×#55218yes—
1656C23C2×#55318yes—
1657C23C2×#55318yes—
1658C23C2×#55314yes—
1659C23C2×#55314yes—
1660C23#347518yes—
1661C23#348614yes—
1662C23#348714yes—
1663C23#348918yes—
1664C23#349218yes—
1665C23#349418yes—
1666C23#349518yes—
1667C23#350518yes—
1668C23#352018yes—
1669C23#353618yes—
1670C23#354218yes—
1671C23C24×D411yescharacteristic
1672C23C24×D411yescharacteristic
1673C23C23×#4111yescharacteristic
1674C23C23×#4112yes—
1675C23C23×#4111yescharacteristic
1676C23C23×#4111yescharacteristic
1677C23C22×H(5,𝔽2)11yescharacteristic
1678C23C22×H(5,𝔽2)12yes—
1679C23C22×H(5,𝔽2)11yescharacteristic
1680C23C22×2−1+412yes—
1681C23C2×#58512yes—
1682D4—4128no—
1683D4—464no—
1684C2×C4—232no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—28no—
1688C2×C4—28no—
1689C2×C4—2128no—
1690C2×C4—28no—
1691C2×C4—28no—
1692C2×C4—28no—
1693C2×C4—28no—
1694C2×C4—28no—
1695C2×C4—24no—
1696C2×C4—28no—
1697C2×C4—28no—
1698C2×C4—28no—
1699C2×C4—28no—
1700C2×C4—28no—
1701C2×C4—28no—
1702C2×C4—28no—
1703C2×C4—28no—
1704C2×C4—28no—
1705C2×C4—24no—
1706C2×C4—28no—
1707C2×C4—24no—
1708C2×C4—4128no—
1709C2×C4—464no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—432no—
1715C2×C4—4128no—
1716C2×C4—432no—
1717C2×C4—432no—
1718C2×C4—416no—
1719C2×C4—44no—
1720C2×C4—432no—
1721C2×C4—42no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—432no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—42no—
1730C2×C4—44no—
1731C2×C4—42no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—42no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—4128no—
1742C2×C4—48no—
1743C2×C4—48no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—42no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—42no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—44no—
1761C2×C4—42no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—42no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—864no—
1777C2×C4—832no—
1778C2×C4—816no—
1779C2×C4—88no—
1780C2×C4—88no—
1781C2×C4—832no—
1782C2×C4—816no—
1783C2×C4—832no—
1784C2×C4#2411164yes—
1785C2×C4C22×#12118yes—
1786C2×C4C22×#12118yes—
1787C2×C4C2×#52518yes—
1788C2×C4C2×#53518yes—
1789C2×C4C2×#546116yes—
1790C2×C4C2×#551116yes—
1791C22—28no—
1792C22—28no—
1793C22—28no—
1794C22—216no—
1795C22—2128no—
1796C22—216no—
1797C22—28no—
1798C22—28no—
1799C22—216no—
1800C22—216no—
1801C22—28no—
1802C22—216no—
1803C22—216no—
1804C22—216no—
1805C22—4256no—
1806C22—48no—
1807C22—48no—
1808C22—48no—
1809C22—48no—
1810C22—48no—
1811C22—48no—
1812C22—4128no—
1813C22—48no—
1814C22—48no—
1815C22—48no—
1816C22—48no—
1817C22—48no—
1818C22—48no—
1819C22—44no—
1820C22—44no—
1821C22—44no—
1822C22—48no—
1823C22—48no—
1824C22—82no—
1825C22—84no—
1826C22—832no—
1827C22—82no—
1828C22—82no—
1829C22—84no—
1830C22—82no—
1831C22C2×#241118yes—
1832C22C2×#2535116yes—
1833C22C2×#253518yes—
1834C22#3566118yes—
1835C22#36156116yes—
1836C22#3616318yes—
1837C22#3642618yes—
1838C22#37839116yes—
1839C22#3890518yes—
1840C22#3946718yes—
1841C22#59197116yes—
1842C22#59206116yes—
1843C22C23×#12111yescharacteristic
1844C22C22×#52511yescharacteristic
1845C22C22×#52511yescharacteristic
1846C22C22×#53511yescharacteristic
1847C22C22×#53511yescharacteristic
1848C22C22×#54611yescharacteristic
1849C22C22×#54611yescharacteristic
1850C22C22×#54612yes—
1851C22C22×#55112yes—
1852C22C22×#55212yes—
1853C22C22×#55311yescharacteristic
1854C22C22×#55311yescharacteristic
1855C22C2×#347512yes—
1856C22C2×#354212yes—
1857C22C2×#353612yes—
1858C22C2×#350512yes—
1859C22C2×#349212yes—
1860C22C2×#352012yes—
1861C22C2×#348611yescharacteristic
1862C22C2×#348711yescharacteristic
1863C22C2×#349412yes—
1864C22C2×#348912yes—
1865C22C2×#349512yes—
1866C4—28no—
1867C4—48no—
1868C4—48no—
1869C4—44no—
1870C4—48no—
1871C4—48no—
1872C4—48no—
1873C4—84no—
1874C4—82no—
1875C4—84no—
1876C4—88no—
1877C4—82no—
1878C4—88no—
1879C4C2×#2411116yes—
1880C2—216no—
1881C2—416no—
1882C2—84no—
1883C2#656426116yesdirect product factor
1884C2C22×#241111yescharacteristic
1885C2C22×#253511yescharacteristic
1886C2C2×#3566111yescharacteristic
1887C2C2×#3615612yes—
1888C2C2×#3616311yescharacteristic
1889C2C2×#3642611yescharacteristic
1890C2C2×#3783912yes—
1891C2C2×#3890511yescharacteristic
1892C2C2×#3946711yescharacteristic
1893C2C2×#5919712yes—
1894C2C2×#5920612yes—
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC24C26
prime radicalC23×#120C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#2486C2semidirect
2. C22×#2344C2semidirect
4. C23×#380C2semidirect
5. #656426C2direct (N × H)
6. C2×#15795C2semidirect
7. C2×#15786C2semidirect
8. C2×#15220C2semidirect
9. C2×#15181C2semidirect
10. C2×#14919C2semidirect
12. C2×#14680C2semidirect
13. C2×#14135C2semidirect
14. C2×#13993C2semidirect
15. C2×#13905C2semidirect
16. C2×#13881C2semidirect
17. C2×#13872C2semidirect
18. C2×#13868C2semidirect
29. C2×#2486C22semidirect
30. C22×#398C22semidirect
31. C22×#397C22semidirect
33. C2×#2344C22semidirect
36. C22×#389C22semidirect
37. C22×#389C22semidirect
38. C22×#389C22semidirect
39. C22×#387C22semidirect
45. C22×#382C22semidirect
56. C22×#380C22semidirect
57. C22×#380C22semidirect
58. C22×#380C22semidirect
59. C22×#380C22semidirect
62. C22×C4×C4⋊C4C22semidirect
66. #15795C22semidirect
67. #15786C22semidirect
68. #15220C22semidirect
69. #15181C22semidirect
70. #14919C22semidirect
72. #14680C22semidirect
73. #14135C22semidirect
74. #13993C22semidirect
75. #13905C22semidirect
76. #13881C22semidirect
77. #13872C22semidirect
78. #13868C22semidirect
79. C2×#1445C22semidirect
80. C2×#1443C22semidirect
81. C2×#1443C22semidirect
82. C2×#1442C22semidirect
83. C2×#1442C22semidirect
84. C2×#1441C22semidirect
85. C2×#1441C22semidirect
90. C2×#1439C22semidirect
91. C2×#1439C22semidirect
96. C2×#1437C22semidirect
97. C2×#1436C22semidirect
98. C2×C4⋊#95C22semidirect
99. C2×C4⋊#95C22semidirect
145. C23×C4⋊C4D4semidirect
187. C2×#398C23semidirect
189. C2×#397C23semidirect
195. C2×#389C23semidirect
196. C2×#389C23semidirect
197. C2×#389C23semidirect
199. C2×#387C23semidirect
211. C2×#382C23semidirect
234. C2×#380C23semidirect
235. C2×#380C23semidirect
236. C2×#380C23semidirect
242. C2×C4×C4⋊C4C23semidirect
271. #1445C23semidirect
272. #1443C23semidirect
273. #1443C23semidirect
274. #1442C23semidirect
275. #1442C23semidirect
276. #1441C23semidirect
277. #1441C23semidirect
282. #1439C23semidirect
283. #1439C23semidirect
288. #1437C23semidirect
289. #1436C23semidirect
290. C4⋊#95C23semidirect
291. C4⋊#95C23semidirect
462. C22×C4⋊C4C2×D4semidirect
1883. C2#656426direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#24862
C22×#23442
C22×C4×#1202
C23×#3802
#6564262
C2×#157952
C2×#157862
C2×#152202
C2×#151812
C2×#149192
C2×#149112
C2×#146802
C2×#141352
C2×#139932
C2×#139052
C2×#138812
C2×#138722
C2×#138682