Finite Group Databasebeta

← C2×#6624966 #72316064

Subgroups — C2×#6624966 #72316064

Order 1024.

17233 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#36551C211yesmaximal, characteristic, complemented
2C22×#2366C211yesmaximal, characteristic, complemented
3C2×#33148C211yesmaximal, characteristic, complemented
4C2×#32959C212yesmaximal, complemented
5#6624966C2132yesmaximal, direct product factor
6C2×#29110C212yesmaximal, complemented
7C2×#28114C212yesmaximal, complemented
8C2×#25321C212yesmaximal, complemented
9C2×#25855C211yesmaximal, characteristic, complemented
10C2×#26467C212yesmaximal, complemented
11C2×#24208C211yesmaximal, characteristic
12C2×#26770C214yesmaximal, complemented
13C2×#26905C214yesmaximal, complemented
14C2×#23223C212yesmaximal, complemented
15C2×#23001C212yesmaximal, complemented
16C2×#22629C211yesmaximal, characteristic, complemented
17C2×C4×#480C211yesmaximal, characteristic, complemented
18C2×#21452C212yesmaximal, complemented
19C23×#127C2211yescharacteristic
20C23×C4×D4—21no—
21C23×C4×D4C2212yes—
22C22×#486C2212yes—
23C22×#480C2211yescharacteristic
24C22×#478C2214yescomplemented
25C22×#459C2212yes—
26C22×#447C2212yes—
27C22×#442C2214yescomplemented
28C2×#2857C2211yescharacteristic
29C2×#2851C2212yes—
30#36551—28no—
31#36551C22116yescomplemented
32C2×#2563C2211yescharacteristic, complemented
33C2×#2552C2211yescharacteristic, complemented
34C2×#2589—22no—
35C2×#2509C2212yescomplemented
36C2×#2497—21no—
37C2×#2487—21no—
38C2×#2454C2212yescomplemented
39C2×#2450—22no—
40C2×#2369C2211yescharacteristic, complemented
41C2×#2366—28no—
42C2×#2366—22no—
43C2×#2366—21no—
44C2×#2366—21no—
45C2×#2366C2212yes—
46C2×#2366C2214yes—
47C2×#2366C2212yes—
48C2×#2366C22116yescomplemented
49C2×D4×C4⋊C4—21no—
50C2×D4×C4⋊C4C2211yescharacteristic, complemented
51C2×#2345—21no—
52C2×C4×#121C2211yescharacteristic
53C2×C4×#121C2212yes—
54C22×#390—21no—
55C22×#390C2212yes—
56C22×#386—22no—
57C22×C4×C4⋊C4C2211yescharacteristic
58C22×C4×C4⋊C4C2211yescharacteristic
59#33148C22116yescomplemented
60#32959C22132yescomplemented
61#29110C22132yescomplemented
62#28114C22132yescomplemented
63#26905C22164yescomplemented
64#26770C22164yescomplemented
65#26467C22132yescomplemented
66#25855C22116yescomplemented
67#25321C22132yescomplemented
68#24208C22116yes—
69C2×#2073C2214yescomplemented
70C2×#2067C2214yescomplemented
71C2×#2054C2214yescomplemented
72C2×#2041C2212yes—
73C2×#2041C2214yes—
74C2×#2025C2214yescomplemented
75C2×#2011C2212yes—
76#23223C22132yescomplemented
77#23001C22132yescomplemented
78#22629C22116yescomplemented
79C4×#480C22116yescomplemented
80#21452C22132yescomplemented
81C2×#1987C2212yescomplemented
82C2×#1982C2212yes—
83C2×#1957C2212yes—
84C2×#1948C2212yescomplemented
85C2×#1939C2212yescomplemented
86C2×#1936C2214yescomplemented
87C2×#1936C2214yescomplemented
88C2×#1925C2214yescomplemented
89C2×#1925C2212yescomplemented
90C2×#1920C2214yescomplemented
91C2×#1918C2212yescomplemented
92C2×#1917C2214yescomplemented
93C2×#1879C2214yescomplemented
94C2×#1879C2214yescomplemented
95C2×#1874C2211yescharacteristic
96C2×#1864C2214yescomplemented
97C2×#1864C2214yescomplemented
98C2×#1862C2214yescomplemented
99C2×#1853C2212yes—
100C2×#1852C2211yescharacteristic
101C2×#1823C2212yes—
102C2×#1823C2211yescharacteristic
103C2×#1804C2214yescomplemented
104C2×#1797C2211yescharacteristic
105C2×#1797C2212yes—
106C2×#1786C2212yes—
107C2×#1786C2212yes—
108C2×#1786C2212yes—
109C2×C4×#107C2212yescomplemented
110C2×#1770C2212yescomplemented
111C2×#1762C2214yescomplemented
112C2×C4×#102C2212yescomplemented
113C2×#1749C2212yes—
114C2×C4×C22⋊C8C2211yescharacteristic
115C24×D4—21no—
116C24×D4—21no—
117C24×D4C2312yes—
118C25×C4—22no—
119C23×D8C2314yes—
120C22×C4⋊Q8C2311yescharacteristic
121C22×#127—24no—
122C22×#127—21no—
123C22×#127—21no—
124C22×#127—216no—
125C22×#127C2312yes—
126C22×#127C2318yes—
127C22×#127C2312yes—
128C22×#125C2312yes—
129C22×C22⋊Q8—21no—
130C22×#121C2311yescharacteristic
131C22×C4×D4—28no—
132C22×C4×D4—22no—
133C22×C4×D4—22no—
134C22×C4×D4—21no—
135C22×C4×D4—22no—
136C22×C4×D4—24no—
137C22×C4×D4—22no—
138C22×C4×D4—22no—
139C22×C4×D4—216no—
140C22×C4×D4—416no—
141C22×C4×D4—416no—
142C22×C4×D4C2311yescharacteristic
143C22×C4×D4C2314yes—
144C22×C4×D4C2314yes—
145C22×C4×D4C2312yes—
146C22×C4×D4C23116yes—
147C23×C4⋊C4—21no—
148C23×C4⋊C4D411yescharacteristic
149C23×C4⋊C4D411yescharacteristic
150C23×C4⋊C4C2311yescharacteristic
151C23×C4⋊C4C2311yescharacteristic
152C23×C22⋊C4—22no—
153C23×C22⋊C4—22no—
154C23×C22⋊C4—22no—
155C23×C42—21no—
156C23×C42C2311yescharacteristic
157C23×C42C2312yes—
158C2×#486—216no—
159C2×#486C23116yes—
160C2×#480—28no—
161C2×#480C2318yes—
162C2×#478—416no—
163C2×#478C23132yescomplemented
164C2×#459—216no—
165C2×#459C23116yes—
166C2×#447—216no—
167C2×#447C23116yes—
168C2×#442—416no—
169C2×#442C23132yescomplemented
170C22×#107C2312yes—
171C22×#107C2312yes—
172C22×#106C2314yes—
173C22×C4⋊C8C2312yes—
174C22×C4⋊C8C2314yes—
175C22×#102C2314yes—
176C22×#102C2312yes—
177C22×#102C2314yes—
178C22×#102C2312yes—
179C22×#102C2314yes—
180C22×#102C2314yes—
181C22×#102C2314yes—
182C22×#102C2314yes—
183C22×#102C2314yes—
184C22×C22⋊C8C2311yescharacteristic
185C22×C22⋊C8C2312yes—
186C22×C22⋊C8C2311yescharacteristic
187C22×#97C2314yes—
188C22×C4×C8C2312yes—
189#2857—24no—
190#2857C2318yes—
191#2851—28no—
192#2851C23116yes—
193#2589—232no—
194#2563—24no—
195#2563C2318yescomplemented
196#2552—24no—
197#2552C2318yescomplemented
198#2509—28no—
199#2509C23116yescomplemented
200#2497—216no—
201#2487—216no—
202#2454—28no—
203#2454C23116yescomplemented
204#2450—232no—
205C2×#400—22no—
206C2×#400—22no—
207C2×#399—22no—
208C2×#398—22no—
209C2×#396—22no—
210C2×#393—22no—
211#2369—24no—
212#2369C2318yescomplemented
213#2366—28no—
214#2366—28no—
215#2366—216no—
216#2366—232no—
217#2366—216no—
218#2366—216no—
219#2366C23132yes—
220#2366C23116yes—
221#2366C23116yes—
222D4×C4⋊C4—24no—
223D4×C4⋊C4—216no—
224D4×C4⋊C4C2318yescomplemented
225#2345—216no—
226C4×#121—24no—
227C4×#121—28no—
228C4×#121C2318yes—
229C4×#121C23116yes—
230C2×#391—21no—
231C2×#391—22no—
232C2×#390—28no—
233C2×#390—22no—
234C2×#390—22no—
235C2×#390—22no—
236C2×#390—22no—
237C2×#390—24no—
238C2×#390—216no—
239C2×#390C2314yes—
240C2×#390C2311yescharacteristic
241C2×#390C2314yes—
242C2×#390C23116yes—
243C2×#390C2312yes—
244C2×#389—21no—
245C2×#389—22no—
246C2×#389—21no—
247C2×#389—21no—
248C2×#389C2312yes—
249C2×#389C2312yes—
250C2×#389C2312yes—
251C2×#389C2311yescharacteristic
252C2×#389C2312yes—
253C2×#388—21no—
254C2×#388—22no—
255C2×#387—22no—
256C2×#387—22no—
257C2×#387—22no—
258C2×#386—24no—
259C2×#386—24no—
260C2×#386—24no—
261C2×#386—24no—
262C2×#386—232no—
263C2×#386—21no—
264C2×#386—22no—
265C2×#385—22no—
266C2×#385—22no—
267C2×#385—22no—
268C2×#385—22no—
269C2×#384—21no—
270C2×#384C2311yescharacteristic
271C2×#382C2312yes—
272C2×#380—22no—
273C2×#380—21no—
274C2×#380—21no—
275C2×#380—21no—
276C2×#380—21no—
277C2×#380C2311yescharacteristic
278C2×#380C2312yes—
279C2×C4×C4⋊C4—24no—
280C2×C4×C4⋊C4—21no—
281C2×C4×C4⋊C4—21no—
282C2×C4×C4⋊C4—21no—
283C2×C4×C4⋊C4D412yes—
284C2×C4×C4⋊C4D411yescharacteristic
285C2×C4×C4⋊C4D418yes—
286C2×C4×C4⋊C4D411yescharacteristic
287C2×C4×C4⋊C4C2312yes—
288C2×C4×C4⋊C4C2311yescharacteristic
289C2×C4×C4⋊C4C2311yescharacteristic
290C2×C4×C4⋊C4C2318yes—
291C2×C4×C4⋊C4C2311yescharacteristic
292C2×C4×C4⋊C4C2312yes—
293C2×C4×C4⋊C4C2312yes—
294C2×C4×C4⋊C4C2312yes—
295C2×C4×C4⋊C4C2318yes—
296C2×C4×C22⋊C4—22no—
297C2×C4×C22⋊C4—21no—
298C22×#95—21no—
299C22×#95D412yes—
300#2073C23132yescomplemented
301#2067C23132yescomplemented
302#2054C23132yescomplemented
303#2041C23132yes—
304#2041C23116yes—
305#2025C23132yescomplemented
306#2011C23116yes—
307#1987C23116yescomplemented
308#1982C23116yes—
309#1957C23116yes—
310#1948C23116yescomplemented
311#1939C23116yescomplemented
312#1936C23132yescomplemented
313#1936C23132yescomplemented
314#1925C23116yescomplemented
315#1925C23132yescomplemented
316#1920C23132yescomplemented
317#1918C23116yescomplemented
318#1917C23132yescomplemented
319#1879C23132yescomplemented
320#1879C23132yescomplemented
321#1874C2318yes—
322#1864C23132yescomplemented
323#1864C23132yescomplemented
324#1862C23132yescomplemented
325#1853C23116yes—
326#1852C2318yes—
327#1823C2318yes—
328#1823C23116yes—
329#1804C23132yescomplemented
330#1797C2318yes—
331#1797C23116yes—
332#1786C23116yes—
333#1786C23116yes—
334#1786C23116yes—
335C4×#107C23116yescomplemented
336#1770C23116yescomplemented
337#1762C23132yescomplemented
338C4×#102C23116yescomplemented
339#1749C23116yes—
340C4×C22⋊C8C2318yes—
341C2×#340C2312yes—
342C2×#340C2312yes—
343C2×#340C2312yes—
344C2×#340C2314yes—
345C2×#340C2314yes—
346C2×#340C2314yes—
347C2×#340C2312yes—
348C2×#336C2312yes—
349C2×#336C2312yes—
350C2×#336C2314yes—
351C2×#336C2314yes—
352C26—22no—
353C23×Q8—21no—
354C23×D4—216no—
355C23×D4—21no—
356C23×D4—216no—
357C23×D4—216no—
358C23×D4—28no—
359C23×D4—22no—
360C23×D4—22no—
361C23×D4—24no—
362C23×D4—22no—
363C23×D4—22no—
364C23×D4—28no—
365C23×D4—22no—
366C23×D4—28no—
367C23×D4—28no—
368C23×D4—48no—
369C23×D4—48no—
370C23×D4—48no—
371C23×D4—84no—
372C23×D4—84no—
373C23×D4C2414yes—
374C23×D4C2411yescharacteristic
375C23×D4C2418yes—
376C24×C4—21no—
377C24×C4—21no—
378C24×C4—21no—
379C24×C4—216no—
380C24×C4—24no—
381C24×C4—24no—
382C24×C4—22no—
383C24×C4—416no—
384C24×C4—416no—
385C24×C4—88no—
386C24×C4C2×D411yescharacteristic
387C24×C4C2×D411yescharacteristic
388C24×C4C2×D412yes—
389C24×C4C2×D412yes—
390C24×C4C2411yescharacteristic
391C22×D8—216no—
392C22×D8—216no—
393C22×D8—48no—
394C22×D8C24116yes—
395C23×C8C2412yes—
396C23×C8C2412yes—
397C23×C8C2414yes—
398C2×C4⋊Q8—22no—
399C2×C4⋊Q8—28no—
400C2×C4⋊Q8C2414yes—
401C2×#127—216no—
402C2×#127—216no—
403C2×#127—264no—
404C2×#127—216no—
405C2×#127—264no—
406C2×#127—28no—
407C2×#127—28no—
408C2×#127—24no—
409C2×#127—24no—
410C2×#127—28no—
411C2×#127#41116yes—
412C2×#127C2418yes—
413C2×#127C2418yes—
414C2×#125—24no—
415C2×#125—48no—
416C2×#125C2418yes—
417C2×C22⋊Q8—28no—
418C2×C22⋊Q8—84no—
419C2×#121—22no—
420C2×#121—24no—
421C2×#121#4118yes—
422C2×#121C2414yes—
423C2×C4×D4—28no—
424C2×C4×D4—216no—
425C2×C4×D4—216no—
426C2×C4×D4—216no—
427C2×C4×D4—232no—
428C2×C4×D4—216no—
429C2×C4×D4—216no—
430C2×C4×D4—22no—
431C2×C4×D4—28no—
432C2×C4×D4—28no—
433C2×C4×D4—216no—
434C2×C4×D4—216no—
435C2×C4×D4—24no—
436C2×C4×D4—28no—
437C2×C4×D4—48no—
438C2×C4×D4—48no—
439C2×C4×D4—48no—
440C2×C4×D4—464no—
441C2×C4×D4—464no—
442C2×C4×D4—416no—
443C2×C4×D4—416no—
444C2×C4×D4—432no—
445C2×C4×D4—416no—
446C2×C4×D4—416no—
447C2×C4×D4—4128no—
448C2×C4×D4—48no—
449C2×C4×D4—88no—
450C2×C4×D4C2414yes—
451C2×C4×D4C24116yes—
452C2×C4×D4C24116yes—
453C2×C4×D4C2418yes—
454C22×C4⋊C4—28no—
455C22×C4⋊C4—22no—
456C22×C4⋊C4—21no—
457C22×C4⋊C4—28no—
458C22×C4⋊C4—24no—
459C22×C4⋊C4—24no—
460C22×C4⋊C4—21no—
461C22×C4⋊C4—21no—
462C22×C4⋊C4—22no—
463C22×C4⋊C4—22no—
464C22×C4⋊C4—21no—
465C22×C4⋊C4—21no—
466C22×C4⋊C4—22no—
467C22×C4⋊C4—22no—
468C22×C4⋊C4—22no—
469C22×C4⋊C4—21no—
470C22×C4⋊C4—22no—
471C22×C4⋊C4—22no—
472C22×C4⋊C4—28no—
473C22×C4⋊C4—44no—
474C22×C4⋊C4—48no—
475C22×C4⋊C4C2×D412yes—
476C22×C4⋊C4C2×D411yescharacteristic
477C22×C4⋊C4C2×D418yes—
478C22×C4⋊C4C2×D411yescharacteristic
479C22×C4⋊C4C2×D411yescharacteristic
480C22×C4⋊C4C2×D411yescharacteristic
481C22×C4⋊C4C2×D418yes—
482C22×C4⋊C4C2×D412yes—
483C22×C4⋊C4C2414yes—
484C22×C4⋊C4C2414yes—
485C22×C4⋊C4C2412yes—
486C22×C4⋊C4C2411yescharacteristic
487C22×C4⋊C4C2411yescharacteristic
488C22×C4⋊C4C2412yes—
489C22×C4⋊C4C2412yes—
490C22×C4⋊C4C2411yescharacteristic
491C22×C4⋊C4C2412yes—
492C22×C22⋊C4—21no—
493C22×C22⋊C4—22no—
494C22×C22⋊C4—21no—
495C22×C22⋊C4—21no—
496C22×C22⋊C4—21no—
497C22×C22⋊C4—216no—
498C22×C22⋊C4—24no—
499C22×C22⋊C4—24no—
500C22×C22⋊C4—24no—
501C22×C22⋊C4—24no—
502C22×C22⋊C4—216no—
503C22×C22⋊C4—22no—
504C22×C22⋊C4—22no—
505C22×C22⋊C4—21no—
506C22×C22⋊C4—22no—
507C22×C22⋊C4—216no—
508C22×C22⋊C4—24no—
509C22×C22⋊C4—24no—
510C22×C22⋊C4—416no—
511C22×C22⋊C4—416no—
512C22×C22⋊C4—88no—
513C22×C42—28no—
514C22×C42—28no—
515C22×C42—22no—
516C22×C42—22no—
517C22×C42—21no—
518C22×C42—22no—
519C22×C42—48no—
520C22×C42—48no—
521C22×C42C2×D414yes—
522C22×C42C2×D411yescharacteristic
523C22×C42C2×D411yescharacteristic
524C22×C42C2×D418yes—
525C22×C42C2×D412yes—
526C22×C42C2×D412yes—
527C22×C42C2414yes—
528C22×C42C2412yes—
529C22×C42C2412yes—
530C22×C42C2411yescharacteristic
531C22×C42C2418yes—
532C22×C42C2411yescharacteristic
533#486—264no—
534#480—232no—
535#478—464no—
536#459—264no—
537#447—264no—
538#442—464no—
539C2×#107—28no—
540C2×#107—28no—
541C2×#107C2418yes—
542C2×#107C2418yes—
543C2×#106—216no—
544C2×#106C24116yes—
545C2×C4⋊C8—28no—
546C2×C4⋊C8—48no—
547C2×C4⋊C8C2418yes—
548C2×C4⋊C8C24116yes—
549C2×#102—28no—
550C2×#102—216no—
551C2×#102—216no—
552C2×#102—216no—
553C2×#102—216no—
554C2×#102—28no—
555C2×#102—48no—
556C2×#102—48no—
557C2×#102—48no—
558C2×#102C2418yes—
559C2×#102C24116yes—
560C2×#102C24116yes—
561C2×#102C24116yes—
562C2×#102C24116yes—
563C2×#102C2418yes—
564C2×#102C24116yes—
565C2×#102C24116yes—
566C2×#102C24116yes—
567C2×C22⋊C8—24no—
568C2×C22⋊C8—28no—
569C2×C22⋊C8—24no—
570C2×C22⋊C8C2414yes—
571C2×C22⋊C8C2418yes—
572C2×C22⋊C8C2414yes—
573C2×#97—48no—
574C2×#97C24116yes—
575C2×C4×C8—28no—
576C2×C4×C8C2418yes—
577#400—216no—
578#400—216no—
579#399—216no—
580#398—216no—
581#396—216no—
582#393—216no—
583#391—28no—
584#391—216no—
585#390—216no—
586#390—216no—
587#390—232no—
588#390—24no—
589#390—28no—
590#390—28no—
591#390—216no—
592#390—216no—
593#390—22no—
594#390C2418yes—
595#390C24116yes—
596#390C24116yes—
597#390C2414yes—
598#389—216no—
599#389—28no—
600#389—28no—
601#389—24no—
602#389—24no—
603#389—28no—
604#389—24no—
605#389—22no—
606#389—24no—
607#389C2418yes—
608#389C2418yes—
609#389C2418yes—
610#389C2418yes—
611#389C2414yes—
612#388—28no—
613#388—216no—
614#387—216no—
615#387—216no—
616#387—216no—
617#386—28no—
618#386—216no—
619#386—232no—
620#386—232no—
621#386—232no—
622#386—232no—
623#385—216no—
624#385—216no—
625#385—216no—
626#385—216no—
627#384—28no—
628#384—22no—
629#384C2414yes—
630#382—24no—
631#382C2418yes—
632#380—22no—
633#380—24no—
634#380—28no—
635#380—28no—
636#380—28no—
637#380—28no—
638#380—216no—
639#380C2414yes—
640#380C2418yes—
641C4×C4⋊C4—28no—
642C4×C4⋊C4—28no—
643C4×C4⋊C4—28no—
644C4×C4⋊C4—24no—
645C4×C4⋊C4—24no—
646C4×C4⋊C4—24no—
647C4×C4⋊C4—22no—
648C4×C4⋊C4C2×D414yes—
649C4×C4⋊C4C2×D4116yes—
650C4×C4⋊C4C2×D418yes—
651C4×C4⋊C4C2×D414yes—
652C4×C4⋊C4C2×D418yes—
653C4×C4⋊C4C2×D418yes—
654C4×C4⋊C4C2418yes—
655C4×C4⋊C4C2418yes—
656C4×C4⋊C4C2418yes—
657C4×C4⋊C4C2414yes—
658C4×C4⋊C4C2414yes—
659C4×C4⋊C4C2414yes—
660C4×C4⋊C4C2418yes—
661C4×C22⋊C4—216no—
662C4×C22⋊C4—28no—
663C2×#95—22no—
664C2×#95—22no—
665C2×#95—21no—
666C2×#95—22no—
667C2×#95—22no—
668C2×#95—21no—
669C2×#95—22no—
670C2×#95—22no—
671C2×#95—28no—
672C2×#95—22no—
673C2×#95—22no—
674C2×#95—21no—
675C2×#95—22no—
676C2×#95—22no—
677C2×#95C2×D412yes—
678C2×#95C2×D412yes—
679C2×#95C2×D4116yes—
680C2×#95C2×D412yes—
681C2×#95C2×D412yes—
682#340C24116yes—
683#340C2418yes—
684#340C24116yes—
685#340C24116yes—
686#340C2418yes—
687#340C2418yes—
688#340C2418yes—
689#336C24116yes—
690#336C2418yes—
691#336C24116yes—
692#336C2418yes—
693C25—216no—
694C25—28no—
695C25—21no—
696C25—24no—
697C25—48no—
698C25—48no—
699C25—48no—
700C25—48no—
701C25—48no—
702C25—48no—
703C25C22×D411yescharacteristic
704C22×Q8—24no—
705C22×Q8—44no—
706C22×Q8—82no—
707C22×Q8—82no—
708C22×D4—216no—
709C22×D4—216no—
710C22×D4—232no—
711C22×D4—264no—
712C22×D4—28no—
713C22×D4—24no—
714C22×D4—216no—
715C22×D4—264no—
716C22×D4—232no—
717C22×D4—216no—
718C22×D4—216no—
719C22×D4—21no—
720C22×D4—28no—
721C22×D4—24no—
722C22×D4—28no—
723C22×D4—28no—
724C22×D4—28no—
725C22×D4—28no—
726C22×D4—24no—
727C22×D4—28no—
728C22×D4—28no—
729C22×D4—216no—
730C22×D4—28no—
731C22×D4—28no—
732C22×D4—24no—
733C22×D4—28no—
734C22×D4—22no—
735C22×D4—216no—
736C22×D4—416no—
737C22×D4—464no—
738C22×D4—464no—
739C22×D4—48no—
740C22×D4—416no—
741C22×D4—48no—
742C22×D4—4128no—
743C22×D4—432no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—416no—
748C22×D4—48no—
749C22×D4—432no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4—84no—
753C22×D4—84no—
754C22×D4—84no—
755C22×D4—84no—
756C22×D4—816no—
757C22×D4—816no—
758C22×D4—864no—
759C22×D4C2×#4114yes—
760C22×D4C2×#41116yes—
761C22×D4C2512yes—
762C22×D4C2518yes—
763C23×C4—24no—
764C23×C4—24no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—28no—
768C23×C4—28no—
769C23×C4—24no—
770C23×C4—24no—
771C23×C4—22no—
772C23×C4—21no—
773C23×C4—28no—
774C23×C4—24no—
775C23×C4—24no—
776C23×C4—22no—
777C23×C4—21no—
778C23×C4—22no—
779C23×C4—22no—
780C23×C4—21no—
781C23×C4—24no—
782C23×C4—216no—
783C23×C4—216no—
784C23×C4—28no—
785C23×C4—44no—
786C23×C4—44no—
787C23×C4—42no—
788C23×C4—44no—
789C23×C4—44no—
790C23×C4—416no—
791C23×C4—416no—
792C23×C4—464no—
793C23×C4—464no—
794C23×C4—416no—
795C23×C4—416no—
796C23×C4—48no—
797C23×C4—44no—
798C23×C4—44no—
799C23×C4—44no—
800C23×C4—44no—
801C23×C4—44no—
802C23×C4—44no—
803C23×C4—44no—
804C23×C4—44no—
805C23×C4—88no—
806C23×C4—88no—
807C23×C4—84no—
808C23×C4—84no—
809C23×C4—832no—
810C23×C4—8128no—
811C23×C4AGL(1,ℤ/8)18yes—
812C23×C4C22×D412yes—
813C23×C4C22×D412yes—
814C23×C4C22×D412yes—
815C23×C4C22×D412yes—
816C23×C4C22×D411yescharacteristic
817C23×C4C22×D414yes—
818C23×C4C22×D411yescharacteristic
819C23×C4C22×D412yes—
820C23×C4C22×D411yescharacteristic
821C23×C4C22×D414yes—
822C23×C4C22×D411yescharacteristic
823C23×C4C22×D418yes—
824C23×C4C22×D418yes—
825C23×C4C22×D411yescharacteristic
826C23×C4C2×#4114yes—
827C23×C42−1+414yes—
828C23×C4C2512yes—
829C23×C4C2511yescharacteristic
830C2×D8—232no—
831C2×D8—232no—
832C2×D8—416no—
833C2×D8—464no—
834C22×C8—28no—
835C22×C8—28no—
836C22×C8—24no—
837C22×C8—24no—
838C22×C8—24no—
839C22×C8—28no—
840C22×C8—24no—
841C22×C8—24no—
842C22×C8—24no—
843C22×C8C2518yes—
844C22×C8C2514yes—
845C22×C8C2514yes—
846C4⋊Q8—216no—
847C4⋊Q8—48no—
848#127—264no—
849#127—232no—
850#127—264no—
851#127—232no—
852#127—232no—
853#127—216no—
854#127C2×#41132yes—
855#125—416no—
856#125—88no—
857C22⋊Q8—816no—
858#121—216no—
859#121—28no—
860#121C2×#41116yes—
861C4×D4—232no—
862C4×D4—232no—
863C4×D4—216no—
864C4×D4—416no—
865C4×D4—416no—
866C4×D4—432no—
867C4×D4—432no—
868C4×D4—416no—
869C4×D4—464no—
870C4×D4—464no—
871C4×D4—4128no—
872C4×D4—464no—
873C4×D4—464no—
874C4×D4—432no—
875C4×D4—48no—
876C4×D4—88no—
877C4×D4—832no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4—216no—
880C2×C4⋊C4—28no—
881C2×C4⋊C4—232no—
882C2×C4⋊C4—24no—
883C2×C4⋊C4—24no—
884C2×C4⋊C4—24no—
885C2×C4⋊C4—24no—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—22no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—24no—
890C2×C4⋊C4—22no—
891C2×C4⋊C4—216no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—28no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—28no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—24no—
903C2×C4⋊C4—22no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—24no—
906C2×C4⋊C4—22no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—22no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—28no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—416no—
917C2×C4⋊C4—432no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—48no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—48no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—84no—
926C2×C4⋊C4—84no—
927C2×C4⋊C4—82no—
928C2×C4⋊C4—84no—
929C2×C4⋊C4—84no—
930C2×C4⋊C4—84no—
931C2×C4⋊C4C22×D414yes—
932C2×C4⋊C4C22×D414yes—
933C2×C4⋊C4C22×D414yes—
934C2×C4⋊C4C22×D418yes—
935C2×C4⋊C4C22×D414yes—
936C2×C4⋊C4C22×D418yes—
937C2×C4⋊C4C2×#4114yes—
938C2×C4⋊C4H(5,𝔽2)18yes—
939C2×C4⋊C4C2514yes—
940C2×C4⋊C4C2514yes—
941C2×C4⋊C4C2512yes—
942C2×C4⋊C4C2512yes—
943C2×C4⋊C4C2514yes—
944C2×C4⋊C4C2512yes—
945C2×C4⋊C4C2514yes—
946C2×C22⋊C4—28no—
947C2×C22⋊C4—24no—
948C2×C22⋊C4—28no—
949C2×C22⋊C4—24no—
950C2×C22⋊C4—216no—
951C2×C22⋊C4—216no—
952C2×C22⋊C4—216no—
953C2×C22⋊C4—216no—
954C2×C22⋊C4—24no—
955C2×C22⋊C4—24no—
956C2×C22⋊C4—216no—
957C2×C22⋊C4—216no—
958C2×C22⋊C4—28no—
959C2×C22⋊C4—28no—
960C2×C22⋊C4—28no—
961C2×C22⋊C4—24no—
962C2×C22⋊C4—416no—
963C2×C22⋊C4—416no—
964C2×C22⋊C4—464no—
965C2×C22⋊C4—464no—
966C2×C22⋊C4—416no—
967C2×C22⋊C4—416no—
968C2×C22⋊C4—44no—
969C2×C22⋊C4—48no—
970C2×C22⋊C4—44no—
971C2×C22⋊C4—44no—
972C2×C22⋊C4—84no—
973C2×C22⋊C4—82no—
974C2×C22⋊C4—88no—
975C2×C22⋊C4—88no—
976C2×C22⋊C4—832no—
977C2×C22⋊C4—84no—
978C2×C22⋊C4—84no—
979C2×C42—24no—
980C2×C42—24no—
981C2×C42—24no—
982C2×C42—28no—
983C2×C42—28no—
984C2×C42—216no—
985C2×C42—216no—
986C2×C42—28no—
987C2×C42—28no—
988C2×C42—24no—
989C2×C42—28no—
990C2×C42—416no—
991C2×C42—416no—
992C2×C42—44no—
993C2×C42—44no—
994C2×C42—48no—
995C2×C42—432no—
996C2×C42—48no—
997C2×C42—44no—
998C2×C42—84no—
999C2×C42C22×D414yes—
1000C2×C42C22×D414yes—
1001C2×C42C22×D414yes—
1002C2×C42C22×D414yes—
1003C2×C42C22×D412yes—
1004C2×C42C22×D418yes—
1005C2×C42C22×D418yes—
1006C2×C42C22×D412yes—
1007C2×C42C2×#4118yes—
1008C2×C42C2514yes—
1009C2×C42C2514yes—
1010C2×C42C2512yes—
1011C2×C42C2512yes—
1012#107—216no—
1013#107—216no—
1014#106—232no—
1015C4⋊C8—216no—
1016C4⋊C8—416no—
1017#102—232no—
1018#102—216no—
1019#102—232no—
1020#102—232no—
1021#102—232no—
1022#102—216no—
1023#102—416no—
1024#102—416no—
1025#102—416no—
1026C22⋊C8—216no—
1027C22⋊C8—28no—
1028C22⋊C8—28no—
1029#97—416no—
1030C4×C8—216no—
1031#95—28no—
1032#95—28no—
1033#95—24no—
1034#95—28no—
1035#95—24no—
1036#95—28no—
1037#95—28no—
1038#95—28no—
1039#95—24no—
1040#95—28no—
1041#95—28no—
1042#95—28no—
1043#95—28no—
1044#95C22×D418yes—
1045#95C22×D418yes—
1046#95C22×D418yes—
1047#95C22×D418yes—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—232no—
1053C24—22no—
1054C24—28no—
1055C24—216no—
1056C24—24no—
1057C24—416no—
1058C24—416no—
1059C24—416no—
1060C24—464no—
1061C24—464no—
1062C24—464no—
1063C24—42no—
1064C24—48no—
1065C24—42no—
1066C24—416no—
1067C24—48no—
1068C24—48no—
1069C24—42no—
1070C24—416no—
1071C24—48no—
1072C24—42no—
1073C24—42no—
1074C24—48no—
1075C24—42no—
1076C24—416no—
1077C24—48no—
1078C24—832no—
1079C24—832no—
1080C24—832no—
1081C24—832no—
1082C24#54814yes—
1083C24C2×AGL(1,ℤ/8)14yes—
1084C24#57614yes—
1085C24C23×D412yes—
1086C24C23×D411yescharacteristic
1087C2×Q8—48no—
1088C2×Q8—84no—
1089C2×Q8—84no—
1090C2×Q8—168no—
1091C2×D4—232no—
1092C2×D4—232no—
1093C2×D4—216no—
1094C2×D4—232no—
1095C2×D4—28no—
1096C2×D4—24no—
1097C2×D4—28no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—22no—
1103C2×D4—216no—
1104C2×D4—232no—
1105C2×D4—232no—
1106C2×D4—24no—
1107C2×D4—216no—
1108C2×D4—232no—
1109C2×D4—232no—
1110C2×D4—464no—
1111C2×D4—464no—
1112C2×D4—416no—
1113C2×D4—416no—
1114C2×D4—464no—
1115C2×D4—464no—
1116C2×D4—4256no—
1117C2×D4—4128no—
1118C2×D4—432no—
1119C2×D4—48no—
1120C2×D4—48no—
1121C2×D4—464no—
1122C2×D4—42no—
1123C2×D4—416no—
1124C2×D4—48no—
1125C2×D4—416no—
1126C2×D4—48no—
1127C2×D4—42no—
1128C2×D4—48no—
1129C2×D4—416no—
1130C2×D4—416no—
1131C2×D4—416no—
1132C2×D4—416no—
1133C2×D4—88no—
1134C2×D4—88no—
1135C2×D4—832no—
1136C2×D4—88no—
1137C2×D4—88no—
1138C2×D4—8128no—
1139C2×D4—832no—
1140C2×D4C22×#41116yes—
1141C2×D4C22×#4114yes—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—232no—
1151C22×C4—28no—
1152C22×C4—24no—
1153C22×C4—216no—
1154C22×C4—24no—
1155C22×C4—216no—
1156C22×C4—28no—
1157C22×C4—216no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—216no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—28no—
1179C22×C4—216no—
1180C22×C4—28no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—48no—
1187C22×C4—48no—
1188C22×C4—44no—
1189C22×C4—48no—
1190C22×C4—48no—
1191C22×C4—432no—
1192C22×C4—432no—
1193C22×C4—416no—
1194C22×C4—432no—
1195C22×C4—432no—
1196C22×C4—416no—
1197C22×C4—48no—
1198C22×C4—432no—
1199C22×C4—432no—
1200C22×C4—44no—
1201C22×C4—48no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—48no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—48no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—48no—
1222C22×C4—44no—
1223C22×C4—48no—
1224C22×C4—48no—
1225C22×C4—48no—
1226C22×C4—816no—
1227C22×C4—816no—
1228C22×C4—88no—
1229C22×C4—88no—
1230C22×C4—816no—
1231C22×C4—8256no—
1232C22×C4—864no—
1233C22×C4—864no—
1234C22×C4—816no—
1235C22×C4—816no—
1236C22×C4—1616no—
1237C22×C4#52514yes—
1238C22×C4#52514yes—
1239C22×C4#54814yes—
1240C22×C4#54818yes—
1241C22×C4C2×AGL(1,ℤ/8)14yes—
1242C22×C4C2×AGL(1,ℤ/8)116yes—
1243C22×C4C2×AGL(1,ℤ/8)14yes—
1244C22×C4#57514yes—
1245C22×C4C23×D412yes—
1246C22×C4C23×D414yes—
1247C22×C4C23×D414yes—
1248C22×C4C23×D414yes—
1249C22×C4C23×D414yes—
1250C22×C4C23×D412yes—
1251C22×C4C23×D412yes—
1252C22×C4C23×D412yes—
1253C22×C4C23×D411yescharacteristic
1254C22×C4C23×D412yes—
1255C22×C4C22×#4114yes—
1256C22×C4C22×#4114yes—
1257C22×C4C22×#4112yes—
1258C22×C4C2×H(5,𝔽2)14yes—
1259C22×C4C2×2−1+414yes—
1260C22×C4C2×2−1+412yes—
1261C22×C4C2611yescharacteristic
1262D8—464no—
1263C2×C8—24no—
1264C2×C8—24no—
1265C2×C8—24no—
1266C2×C8—28no—
1267C2×C8—28no—
1268C2×C8—24no—
1269C2×C8—28no—
1270C2×C8—24no—
1271C2×C8—24no—
1272C2×C8—48no—
1273C2×C8—416no—
1274C2×C8—48no—
1275C4⋊C4—216no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—216no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—48no—
1292C4⋊C4—416no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—48no—
1296C4⋊C4—48no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—48no—
1301C4⋊C4—48no—
1302C4⋊C4—88no—
1303C4⋊C4—88no—
1304C4⋊C4—84no—
1305C4⋊C4—88no—
1306C4⋊C4—88no—
1307C4⋊C4—88no—
1308C4⋊C4C22×#4114yes—
1309C4⋊C4C2×H(5,𝔽2)18yes—
1310C22⋊C4—216no—
1311C22⋊C4—432no—
1312C22⋊C4—432no—
1313C22⋊C4—432no—
1314C22⋊C4—432no—
1315C22⋊C4—48no—
1316C22⋊C4—416no—
1317C22⋊C4—48no—
1318C22⋊C4—48no—
1319C22⋊C4—88no—
1320C22⋊C4—84no—
1321C22⋊C4—816no—
1322C22⋊C4—816no—
1323C22⋊C4—88no—
1324C22⋊C4—88no—
1325C42—24no—
1326C42—28no—
1327C42—28no—
1328C42—28no—
1329C42—28no—
1330C42—24no—
1331C42—28no—
1332C42—28no—
1333C42—48no—
1334C42—48no—
1335C42—416no—
1336C42—416no—
1337C42—48no—
1338C42—88no—
1339C42#52518yes—
1340C42C22×#4118yes—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—28no—
1345C23—28no—
1346C23—28no—
1347C23—28no—
1348C23—28no—
1349C23—28no—
1350C23—22no—
1351C23—216no—
1352C23—24no—
1353C23—464no—
1354C23—464no—
1355C23—464no—
1356C23—48no—
1357C23—42no—
1358C23—48no—
1359C23—42no—
1360C23—42no—
1361C23—48no—
1362C23—42no—
1363C23—48no—
1364C23—42no—
1365C23—48no—
1366C23—48no—
1367C23—432no—
1368C23—48no—
1369C23—432no—
1370C23—432no—
1371C23—48no—
1372C23—42no—
1373C23—48no—
1374C23—832no—
1375C23—832no—
1376C23—832no—
1377C23—8256no—
1378C23—832no—
1379C23—816no—
1380C23—84no—
1381C23—816no—
1382C23—816no—
1383C23—84no—
1384C23—84no—
1385C23—84no—
1386C23—816no—
1387C23#3366116yes—
1388C23C2×#52512yes—
1389C23C2×#54814yes—
1390C23C2×#54812yes—
1391C23#348412yes—
1392C23C22×AGL(1,ℤ/8)14yes—
1393C23C22×AGL(1,ℤ/8)12yes—
1394C23C2×#57512yes—
1395C23C2×#57614yes—
1396C23C2×#57612yes—
1397C23#358512yes—
1398C23C24×D411yescharacteristic
1399Q8—168no—
1400D4—216no—
1401D4—28no—
1402D4—216no—
1403D4—464no—
1404D4—464no—
1405D4—432no—
1406D4—44no—
1407D4—48no—
1408D4—464no—
1409D4—48no—
1410D4—432no—
1411D4—48no—
1412D4—832no—
1413D4—832no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—28no—
1419C2×C4—28no—
1420C2×C4—28no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—28no—
1424C2×C4—232no—
1425C2×C4—216no—
1426C2×C4—28no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—28no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—416no—
1445C2×C4—432no—
1446C2×C4—432no—
1447C2×C4—44no—
1448C2×C4—42no—
1449C2×C4—42no—
1450C2×C4—44no—
1451C2×C4—48no—
1452C2×C4—48no—
1453C2×C4—48no—
1454C2×C4—416no—
1455C2×C4—44no—
1456C2×C4—48no—
1457C2×C4—48no—
1458C2×C4—44no—
1459C2×C4—42no—
1460C2×C4—44no—
1461C2×C4—42no—
1462C2×C4—42no—
1463C2×C4—44no—
1464C2×C4—42no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—42no—
1469C2×C4—44no—
1470C2×C4—42no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—816no—
1474C2×C4—864no—
1475C2×C4—864no—
1476C2×C4—816no—
1477C2×C4—88no—
1478C2×C4—84no—
1479C2×C4—84no—
1480C2×C4—88no—
1481C2×C4—88no—
1482C2×C4—816no—
1483C2×C4—1616no—
1484C2×C4#3114116yes—
1485C2×C4C2×#52514yes—
1486C2×C4C2×#52514yes—
1487C2×C4C2×#52512yes—
1488C2×C4C2×#54814yes—
1489C2×C4C2×#54812yes—
1490C2×C4#348118yes—
1491C2×C4#348412yes—
1492C2×C4#352018yes—
1493C2×C4C22×AGL(1,ℤ/8)14yes—
1494C2×C4C22×AGL(1,ℤ/8)14yes—
1495C2×C4C2×#57514yes—
1496C2×C4C23×#4112yes—
1497C2×C4C23×#4111yescharacteristic
1498C2×C4C22×H(5,𝔽2)12yes—
1499C2×C4C22×2−1+411yescharacteristic
1500C8—44no—
1501C8—44no—
1502C8—48no—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—232no—
1509C22—24no—
1510C22—416no—
1511C22—44no—
1512C22—44no—
1513C22—416no—
1514C22—44no—
1515C22—416no—
1516C22—8128no—
1517C22—82no—
1518C22—88no—
1519C22—82no—
1520C22—82no—
1521C22—88no—
1522C22—88no—
1523C22—88no—
1524C22—816no—
1525C22—864no—
1526C22—82no—
1527C22#3652814yes—
1528C22C2×#311414yes—
1529C22#6057814yes—
1530C22C2×#336618yes—
1531C22C2×#336614yes—
1532C22#6132414yes—
1533C22#6158214yes—
1534C22#6160514yes—
1535C22C22×#52511yescharacteristic
1536C22C22×#54811yescharacteristic
1537C22C2×#348411yescharacteristic
1538C22C23×AGL(1,ℤ/8)11yescharacteristic
1539C22C22×#57511yescharacteristic
1540C22C22×#57611yescharacteristic
1541C22C2×#358511yescharacteristic
1542C4—24no—
1543C4—24no—
1544C4—24no—
1545C4—42no—
1546C4—44no—
1547C4—44no—
1548C4—48no—
1549C4—44no—
1550C4—44no—
1551C4—44no—
1552C4—84no—
1553C4—82no—
1554C4—84no—
1555C4—84no—
1556C4—82no—
1557C4#3652814yes—
1558C4C2×#311418yes—
1559C4C2×#348112yes—
1560C4C2×#352012yes—
1561C2—28no—
1562C2—84no—
1563C2—816no—
1564C2#662496618yesdirect product factor
1565C2C2×#3652811yescharacteristic
1566C2C22×#311411yescharacteristic
1567C2C2×#6057811yescharacteristic
1568C2C22×#336611yescharacteristic
1569C2C2×#6132411yescharacteristic
1570C2C2×#6158211yescharacteristic
1571C2C2×#6160511yescharacteristic
subgroupG/H
center, socleC24C23×D4
commutator, Frattini, cosocleC22×C4C26
prime radicalC2×#24208C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#36551C2semidirect
2. C22×#2366C2semidirect
3. C2×#33148C2semidirect
4. C2×#32959C2semidirect
5. #6624966C2direct (N × H)
6. C2×#29110C2semidirect
7. C2×#28114C2semidirect
8. C2×#25321C2semidirect
9. C2×#25855C2semidirect
10. C2×#26467C2semidirect
12. C2×#26770C2semidirect
13. C2×#26905C2semidirect
14. C2×#23223C2semidirect
15. C2×#23001C2semidirect
16. C2×#22629C2semidirect
17. C2×C4×#480C2semidirect
18. C2×#21452C2semidirect
24. C22×#478C22semidirect
27. C22×#442C22semidirect
31. #36551C22semidirect
32. C2×#2563C22semidirect
33. C2×#2552C22semidirect
35. C2×#2509C22semidirect
38. C2×#2454C22semidirect
40. C2×#2369C22semidirect
48. C2×#2366C22semidirect
50. C2×D4×C4⋊C4C22semidirect
59. #33148C22semidirect
60. #32959C22semidirect
61. #29110C22semidirect
62. #28114C22semidirect
63. #26905C22semidirect
64. #26770C22semidirect
65. #26467C22semidirect
66. #25855C22semidirect
67. #25321C22semidirect
69. C2×#2073C22semidirect
70. C2×#2067C22semidirect
71. C2×#2054C22semidirect
74. C2×#2025C22semidirect
76. #23223C22semidirect
77. #23001C22semidirect
78. #22629C22semidirect
79. C4×#480C22semidirect
80. #21452C22semidirect
81. C2×#1987C22semidirect
84. C2×#1948C22semidirect
85. C2×#1939C22semidirect
86. C2×#1936C22semidirect
87. C2×#1936C22semidirect
88. C2×#1925C22semidirect
89. C2×#1925C22semidirect
90. C2×#1920C22semidirect
91. C2×#1918C22semidirect
92. C2×#1917C22semidirect
93. C2×#1879C22semidirect
94. C2×#1879C22semidirect
96. C2×#1864C22semidirect
97. C2×#1864C22semidirect
98. C2×#1862C22semidirect
103. C2×#1804C22semidirect
109. C2×C4×#107C22semidirect
110. C2×#1770C22semidirect
111. C2×#1762C22semidirect
112. C2×C4×#102C22semidirect
163. C2×#478C23semidirect
169. C2×#442C23semidirect
195. #2563C23semidirect
197. #2552C23semidirect
199. #2509C23semidirect
203. #2454C23semidirect
212. #2369C23semidirect
224. D4×C4⋊C4C23semidirect
300. #2073C23semidirect
301. #2067C23semidirect
302. #2054C23semidirect
305. #2025C23semidirect
307. #1987C23semidirect
310. #1948C23semidirect
311. #1939C23semidirect
312. #1936C23semidirect
313. #1936C23semidirect
314. #1925C23semidirect
315. #1925C23semidirect
316. #1920C23semidirect
317. #1918C23semidirect
318. #1917C23semidirect
319. #1879C23semidirect
320. #1879C23semidirect
322. #1864C23semidirect
323. #1864C23semidirect
324. #1862C23semidirect
329. #1804C23semidirect
335. C4×#107C23semidirect
336. #1770C23semidirect
337. #1762C23semidirect
338. C4×#102C23semidirect
1564. C2#6624966direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#365512
C22×#23662
C2×#331482
C2×#329592
#66249662
C2×#291102
C2×#281142
C2×#253212
C2×#258552
C2×#264672
C2×#242082
C2×#267702
C2×#269052
C2×#232232
C2×#230012
C2×#226292
C2×C4×#4802
C2×#214522