Finite Group Databasebeta

← C22×#61066 #72304321

Subgroups — C22×#61066 #72304321

Order 1024.

119297 conjugacy classes of subgroups.

The subgroup lattice has 2698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#575C211yesmaximal, characteristic, complemented
2C24×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3C22×D4×#41C211yesmaximal, characteristic, complemented
4C23×#546C211yesmaximal, characteristic, complemented
5C2×#61066C2196yesmaximal, direct product factor
6C22×#3273C212yesmaximal, complemented
7C22×#3275C212yesmaximal, complemented
8C22×#3268C212yesmaximal, complemented
9C22×#3267C212yesmaximal, complemented
10C22×#3266C212yesmaximal, complemented
11C22×#3264C212yesmaximal, complemented
12C22×#3282C212yesmaximal, complemented
13C22×#3280C212yesmaximal, complemented
14C22×#3153C211yesmaximal, characteristic, complemented
15C22×#3040C211yesmaximal, characteristic, complemented
16C22×#3036C211yesmaximal, characteristic, complemented
17C22×#3056C211yesmaximal, characteristic, complemented
18C22×#3055C211yesmaximal, characteristic, complemented
19C22×#3007C211yesmaximal, characteristic, complemented
20C22×#3006C211yesmaximal, characteristic, complemented
21C22×#3005C211yesmaximal, characteristic, complemented
22C22×#3003C211yesmaximal, characteristic, complemented
23C22×D4×M16C211yesmaximal, characteristic, complemented
24C22×C4×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
25C24×#41C2211yescharacteristic
26C24×#41C2211yescharacteristic, complemented
27C24×#41C2211yescharacteristic, complemented
28C25×D4C2211yescharacteristic, complemented
29C22×#575—232no—
30C22×#575C22148yescomplemented
31C23×#137C2211yescharacteristic, complemented
32C23×#137C2211yescharacteristic, complemented
33C23×#137C2211yescharacteristic, complemented
34C23×#137C2212yescomplemented
35C23×AGL(1,ℤ/8)—232no—
36C23×AGL(1,ℤ/8)C2211yescharacteristic
37C23×AGL(1,ℤ/8)C2211yescharacteristic
38C23×AGL(1,ℤ/8)C2211yescharacteristic, complemented
39C23×AGL(1,ℤ/8)C2211yescharacteristic, complemented
40C23×AGL(1,ℤ/8)C2211yescharacteristic, complemented
41C23×AGL(1,ℤ/8)C2212yescomplemented
42C23×AGL(1,ℤ/8)C2212yescomplemented
43C23×AGL(1,ℤ/8)C2211yescharacteristic, complemented
44C23×AGL(1,ℤ/8)C2212yescomplemented
45C23×AGL(1,ℤ/8)C22148yescomplemented
46C23×#135C2212yescomplemented
47C23×#135C2212yescomplemented
48C24×SD16C2212yescomplemented
49C24×D8C2212yescomplemented
50C24×M16C2211yescharacteristic, complemented
51C24×M16C2211yescharacteristic, complemented
52C2×D4×#41—224no—
53C2×D4×#41C22148yescomplemented
54C22×#550C2211yescharacteristic, complemented
55C22×#547—21no—
56C22×#547C2211yescharacteristic, complemented
57C22×#548C2211yescharacteristic, complemented
58C22×#548C2211yescharacteristic, complemented
59C22×#546—21no—
60C22×#546—21no—
61C22×#546—21no—
62C22×#546—21no—
63C22×#546—224no—
64C22×#546—21no—
65C22×#546—21no—
66C22×#546C2212yes—
67C22×#546C2212yescomplemented
68C22×#546C2212yescomplemented
69C22×#546C2212yescomplemented
70C22×#546C2211yescharacteristic, complemented
71C22×#546C2211yescharacteristic, complemented
72C22×#546C22148yescomplemented
73C22×D4×Q8C2211yescharacteristic, complemented
74C22×D42—21no—
75C22×D42C2211yescharacteristic, complemented
76C22×#532—21no—
77C22×#532C2211yescharacteristic, complemented
78C23×#124C2211yescharacteristic, complemented
79C22×#525—21no—
80C22×#525—21no—
81C22×#525C2211yescharacteristic
82C22×#525C2211yescharacteristic, complemented
83C23×#123—21no—
84C23×C22⋊Q8C2211yescharacteristic, complemented
85C23×#121—21no—
86C23×#121C2211yescharacteristic, complemented
87C23×#120—21no—
88C22×C4×#41C2211yescharacteristic, complemented
89C23×C4×D4—21no—
90C23×C4×D4C2211yescharacteristic
91C23×C4×D4C2211yescharacteristic, complemented
92C24×C22⋊C4—21no—
93#61066C2211024yesdirect product factor
94C2×#3282C22196yescomplemented
95C2×#3280C22196yescomplemented
96C2×#3275C22196yescomplemented
97C2×#3273C22196yescomplemented
98C2×#3268C22196yescomplemented
99C2×#3267C22196yescomplemented
100C2×#3266C22196yescomplemented
101C2×#3264C22196yescomplemented
102C2×#3153C22148yescomplemented
103C22×#497C2212yescomplemented
104C22×#496C2212yescomplemented
105C22×#495C2212yescomplemented
106C22×#495C2212yescomplemented
107C2×#3056C22148yescomplemented
108C2×#3055C22148yescomplemented
109C22×#470C2212yescomplemented
110C22×#469C2212yescomplemented
111C22×#468C2212yescomplemented
112C22×#468C2212yescomplemented
113C22×#467C2212yescomplemented
114C22×#466C2212yescomplemented
115C22×#465C2212yescomplemented
116C22×#465C2212yescomplemented
117C2×#3040C22148yescomplemented
118C2×#3036C22148yescomplemented
119C22×#464C2212yescomplemented
120C22×#464C2212yescomplemented
121C22×#463C2212yescomplemented
122C22×#463C2212yescomplemented
123C22×#463C2212yescomplemented
124C22×#463C2212yescomplemented
125C22×#461C2212yescomplemented
126C22×#459C2212yescomplemented
127C2×#3007C22148yescomplemented
128C2×#3006C22148yescomplemented
129C2×#3005C22148yescomplemented
130C2×#3003C22148yescomplemented
131C22×#452C2212yescomplemented
132C22×#452C2212yescomplemented
133C22×#452C2212yescomplemented
134C22×#452C2212yescomplemented
135C22×#449C2212yescomplemented
136C22×#449C2212yescomplemented
137C22×#449C2212yescomplemented
138C22×#449C2212yescomplemented
139C22×#451C2212yescomplemented
140C22×#448C2212yescomplemented
141C22×#450C2212yescomplemented
142C22×#450C2212yescomplemented
143C22×#450C2212yescomplemented
144C22×#447C2212yescomplemented
145C22×#447C2212yescomplemented
146C22×#447C2212yescomplemented
147C2×C4×AGL(1,ℤ/8)C22148yescomplemented
148C22×#442C2212yescomplemented
149C22×#440C2212yescomplemented
150C22×C4×SD16C2212yescomplemented
151C22×C4×D8C2212yescomplemented
152C2×D4×M16C22148yescomplemented
153C22×#436C2212yescomplemented
154C22×#435C2212yescomplemented
155C22×#435C2212yescomplemented
156C22×C8×D4C2212yescomplemented
157C22×#428C2211yescharacteristic, complemented
158C22×#423C2211yescharacteristic, complemented
159C22×#417C2211yescharacteristic, complemented
160C22×#417C2211yescharacteristic, complemented
161C22×#417C2211yescharacteristic, complemented
162C22×#419C2211yescharacteristic, complemented
163C22×#418C2211yescharacteristic, complemented
164C22×#418C2211yescharacteristic, complemented
165C22×#407C2211yescharacteristic, complemented
166C22×#407C2211yescharacteristic, complemented
167C22×C4×M16C2211yescharacteristic, complemented
168C27—21no—
169C23×#41—21no—
170C23×#41—21no—
171C23×#41—212no—
172C23×#41—21no—
173C23×#41—21no—
174C23×#41—21no—
175C23×#41—212no—
176C23×#41—21no—
177C23×#41—212no—
178C23×#41—216no—
179C23×#41—216no—
180C23×#41—216no—
181C23×#41—48no—
182C23×#41—48no—
183C23×#41—48no—
184C23×#41C2311yescharacteristic
185C23×#41C2311yescharacteristic
186C23×#41C2312yes—
187C23×#41C2311yescharacteristic
188C23×#41C2311yescharacteristic
189C23×#41C23124yes—
190C23×#41C2312yes—
191C23×#41C2311yescharacteristic
192C23×#41C23124yescomplemented
193C23×#41C2311yescharacteristic, complemented
194C23×#41C2311yescharacteristic, complemented
195C23×#41C23124yescomplemented
196C24×Q8C2311yescharacteristic
197C24×Q8C2311yescharacteristic
198C24×Q8C2311yescharacteristic, complemented
199C24×D4—216no—
200C24×D4—21no—
201C24×D4—21no—
202C24×D4—21no—
203C24×D4—21no—
204C24×D4—21no—
205C24×D4—21no—
206C24×D4—21no—
207C24×D4—21no—
208C24×D4—212no—
209C24×D4—48no—
210C24×D4D411yescharacteristic
211C24×D4C2311yescharacteristic
212C24×D4C2311yescharacteristic
213C24×D4C2312yes—
214C24×D4C2312yes—
215C24×D4C2311yescharacteristic
216C24×D4C23124yescomplemented
217C24×D4C2311yescharacteristic, complemented
218C25×C4—21no—
219C25×C4—21no—
220C25×C4—21no—
221C25×C4—21no—
222C25×C4C2311yescharacteristic
223C25×C4C2311yescharacteristic
224C2×#575—2768no—
225C2×#575C231256yescomplemented
226C22×#137—216no—
227C22×#137—232no—
228C22×#137—216no—
229C22×#137—48no—
230C22×#137C23124yescomplemented
231C22×#137C23124yescomplemented
232C22×#137C23124yescomplemented
233C22×#137C23148yescomplemented
234C22×AGL(1,ℤ/8)—216no—
235C22×AGL(1,ℤ/8)—216no—
236C22×AGL(1,ℤ/8)—216no—
237C22×AGL(1,ℤ/8)—2768no—
238C22×AGL(1,ℤ/8)—232no—
239C22×AGL(1,ℤ/8)—232no—
240C22×AGL(1,ℤ/8)—232no—
241C22×AGL(1,ℤ/8)—216no—
242C22×AGL(1,ℤ/8)—48no—
243C22×AGL(1,ℤ/8)D4132yescomplemented
244C22×AGL(1,ℤ/8)C23124yes—
245C22×AGL(1,ℤ/8)C23124yes—
246C22×AGL(1,ℤ/8)C23124yescomplemented
247C22×AGL(1,ℤ/8)C23148yescomplemented
248C22×AGL(1,ℤ/8)C23148yescomplemented
249C22×AGL(1,ℤ/8)C23124yescomplemented
250C22×AGL(1,ℤ/8)C23124yescomplemented
251C22×AGL(1,ℤ/8)C23124yescomplemented
252C22×AGL(1,ℤ/8)C23148yescomplemented
253C22×AGL(1,ℤ/8)C231256yescomplemented
254C22×#135—232no—
255C22×#135—232no—
256C22×#135C23148yescomplemented
257C22×#135C23148yescomplemented
258C23×Q16C2312yescomplemented
259C23×Q16C2312yescomplemented
260C23×Q16C2312yescomplemented
261C23×SD16—232no—
262C23×SD16C2312yes—
263C23×SD16C2312yes—
264C23×SD16C2312yes—
265C23×SD16C2312yes—
266C23×SD16C2312yes—
267C23×SD16C2312yes—
268C23×SD16C23148yescomplemented
269C23×SD16C2312yescomplemented
270C23×SD16C2312yescomplemented
271C23×SD16C2312yescomplemented
272C23×D8—232no—
273C23×D8C2312yes—
274C23×D8C2312yes—
275C23×D8C2312yes—
276C23×D8C2312yes—
277C23×D8C2312yes—
278C23×D8C2312yes—
279C23×D8C23148yescomplemented
280C23×M16—216no—
281C23×M16—216no—
282C23×M16C2312yes—
283C23×M16C2311yescharacteristic
284C23×M16C2311yescharacteristic
285C23×M16C2311yescharacteristic
286C23×M16C2311yescharacteristic
287C23×M16C23124yescomplemented
288C23×M16C2312yescomplemented
289C23×M16C23124yescomplemented
290C24×C8C2312yes—
291C24×C8C2312yescomplemented
292D4×#41—2384no—
293D4×#41C231256yescomplemented
294C2×#550—212no—
295C2×#550C23124yescomplemented
296C2×D4×Q8—212no—
297C2×D4×Q8C23124yescomplemented
298C2×#548—212no—
299C2×#548—212no—
300C2×#548C23124yescomplemented
301C2×#548C23124yescomplemented
302C2×#547—212no—
303C2×#547—248no—
304C2×#547C23124yescomplemented
305C2×#546—224no—
306C2×#546—248no—
307C2×#546—224no—
308C2×#546—224no—
309C2×#546—224no—
310C2×#546—248no—
311C2×#546—248no—
312C2×#546—248no—
313C2×#546—2384no—
314C2×#546—212no—
315C2×#546—212no—
316C2×#546—248no—
317C2×#546—248no—
318C2×#546C23148yes—
319C2×#546C23148yescomplemented
320C2×#546C23148yescomplemented
321C2×#546C23148yescomplemented
322C2×#546C23124yescomplemented
323C2×#546C23124yescomplemented
324C2×#546C231256yescomplemented
325C2×D42—248no—
326C2×D42—212no—
327C2×D42C23124yescomplemented
328C2×#532—212no—
329C2×#532—248no—
330C2×#532C23124yescomplemented
331C22×C4⋊Q8—21no—
332C22×C4⋊Q8C2311yescharacteristic, complemented
333C22×#127—21no—
334C22×#127C2311yescharacteristic, complemented
335C22×#124—21no—
336C22×#124—21no—
337C22×#124—212no—
338C22×#124—21no—
339C22×#124—21no—
340C22×#124C2312yes—
341C22×#124C2312yes—
342C22×#124C23124yescomplemented
343C22×#124C2311yescharacteristic, complemented
344C22×#124C2311yescharacteristic, complemented
345C2×#525—212no—
346C2×#525—212no—
347C2×#525—248no—
348C2×#525—248no—
349C2×#525C23124yes—
350C2×#525C23124yescomplemented
351C22×#123—21no—
352C22×#123—21no—
353C22×#123—22no—
354C22×#123—22no—
355C22×#123—22no—
356C22×#123—22no—
357C22×#123—248no—
358C22×#123—21no—
359C22×#123—21no—
360C22×#123—21no—
361C22×#123—21no—
362C22×C22⋊Q8—21no—
363C22×C22⋊Q8—21no—
364C22×C22⋊Q8—212no—
365C22×C22⋊Q8—21no—
366C22×C22⋊Q8—21no—
367C22×C22⋊Q8—21no—
368C22×C22⋊Q8—21no—
369C22×C22⋊Q8C2312yes—
370C22×C22⋊Q8C2311yescharacteristic
371C22×C22⋊Q8C2312yes—
372C22×C22⋊Q8C2311yescharacteristic
373C22×C22⋊Q8C23124yescomplemented
374C22×C22⋊Q8C2311yescharacteristic, complemented
375C22×C22⋊Q8C2311yescharacteristic, complemented
376C22×#121—21no—
377C22×#121—21no—
378C22×#121—21no—
379C22×#121—21no—
380C22×#121—21no—
381C22×#121—212no—
382C22×#121—21no—
383C22×#121—21no—
384C22×#121—21no—
385C22×#121—22no—
386C22×#121—22no—
387C22×#121—22no—
388C22×#121—22no—
389C22×#121—248no—
390C22×#121—21no—
391C22×#121—21no—
392C22×#121—21no—
393C22×#121—21no—
394C22×#121C2311yescharacteristic
395C22×#121C2312yes—
396C22×#121C2311yescharacteristic
397C22×#121C2312yes—
398C22×#121C23124yescomplemented
399C22×#121C2311yescharacteristic, complemented
400C22×#121C2311yescharacteristic, complemented
401C22×#120—21no—
402C22×#120—21no—
403C22×#120—22no—
404C22×#120—22no—
405C22×#120—22no—
406C22×#120—22no—
407C22×#120—248no—
408C22×#120—21no—
409C22×#120—21no—
410C22×#120—21no—
411C22×#120—21no—
412C2×C4×#41—212no—
413C2×C4×#41C23124yescomplemented
414C22×C4×Q8C2311yescharacteristic, complemented
415C22×C4×Q8C2311yescharacteristic, complemented
416C22×C4×D4—21no—
417C22×C4×D4—21no—
418C22×C4×D4—21no—
419C22×C4×D4—212no—
420C22×C4×D4—21no—
421C22×C4×D4—21no—
422C22×C4×D4—21no—
423C22×C4×D4—21no—
424C22×C4×D4—21no—
425C22×C4×D4—21no—
426C22×C4×D4—21no—
427C22×C4×D4—21no—
428C22×C4×D4—248no—
429C22×C4×D4—21no—
430C22×C4×D4—21no—
431C22×C4×D4—21no—
432C22×C4×D4D411yescharacteristic
433C22×C4×D4D411yescharacteristic
434C22×C4×D4D411yescharacteristic
435C22×C4×D4D411yescharacteristic
436C22×C4×D4D4124yes—
437C22×C4×D4C2312yes—
438C22×C4×D4C2312yes—
439C22×C4×D4C2311yescharacteristic
440C22×C4×D4C2311yescharacteristic
441C22×C4×D4C2311yescharacteristic
442C22×C4×D4C2311yescharacteristic
443C22×C4×D4C23124yes—
444C22×C4×D4C23124yescomplemented
445C22×C4×D4C2311yescharacteristic, complemented
446C22×C4×D4C2311yescharacteristic, complemented
447C22×#117—21no—
448C22×#117C2311yescharacteristic
449C23×C4⋊C4—21no—
450C23×C4⋊C4—21no—
451C23×C4⋊C4D411yescharacteristic
452C23×C4⋊C4C2311yescharacteristic
453C23×C22⋊C4—21no—
454C23×C22⋊C4—21no—
455C23×C22⋊C4—21no—
456C23×C22⋊C4—21no—
457C23×C22⋊C4—21no—
458C23×C22⋊C4—22no—
459C23×C22⋊C4—22no—
460C23×C22⋊C4—22no—
461C23×C22⋊C4—22no—
462C23×C22⋊C4—248no—
463C23×C22⋊C4—21no—
464C23×C22⋊C4—21no—
465C23×C22⋊C4D411yescharacteristic
466C23×C22⋊C4D411yescharacteristic
467C23×C42—21no—
468C23×C42C2311yescharacteristic
469#3282C231512yescomplemented
470#3280C231512yescomplemented
471#3275C231512yescomplemented
472#3273C231512yescomplemented
473#3268C231512yescomplemented
474#3267C231512yescomplemented
475#3266C231512yescomplemented
476#3264C231512yescomplemented
477#3153C231256yescomplemented
478C2×#497C23148yescomplemented
479C2×#496C23148yescomplemented
480C2×#495C23148yescomplemented
481C2×#495C23148yescomplemented
482#3056C231256yescomplemented
483#3055C231256yescomplemented
484C2×#470C23148yescomplemented
485C2×#469C23148yescomplemented
486C2×#468C23148yescomplemented
487C2×#468C23148yescomplemented
488C2×#467C23148yescomplemented
489C2×#466C23148yescomplemented
490C2×#465C23148yescomplemented
491C2×#465C23148yescomplemented
492#3040C231256yescomplemented
493#3036C231256yescomplemented
494C2×#464C23148yescomplemented
495C2×#464C23148yescomplemented
496C2×#463C23148yescomplemented
497C2×#463C23148yescomplemented
498C2×#463C23148yescomplemented
499C2×#463C23148yescomplemented
500C2×#461C23148yescomplemented
501C2×#459C23148yescomplemented
502#3007C231256yescomplemented
503#3006C231256yescomplemented
504#3005C231256yescomplemented
505#3003C231256yescomplemented
506C2×#452C23148yescomplemented
507C2×#452C23148yescomplemented
508C2×#452C23148yescomplemented
509C2×#452C23148yescomplemented
510C2×#449C23148yescomplemented
511C2×#449C23148yescomplemented
512C2×#449C23148yescomplemented
513C2×#449C23148yescomplemented
514C2×#451C23148yescomplemented
515C2×#448C23148yescomplemented
516C2×#450C23148yescomplemented
517C2×#450C23148yescomplemented
518C2×#450C23148yescomplemented
519C2×#447C23148yescomplemented
520C2×#447C23148yescomplemented
521C2×#447C23148yescomplemented
522C4×AGL(1,ℤ/8)C231256yescomplemented
523C2×#442C23148yescomplemented
524C2×#440C23148yescomplemented
525C2×C4×SD16C23148yescomplemented
526C2×C4×D8C23148yescomplemented
527D4×M16C231256yescomplemented
528C2×#436C23148yescomplemented
529C2×#435C23148yescomplemented
530C2×#435C23148yescomplemented
531C2×C8×D4C23148yescomplemented
532C2×#428C23124yescomplemented
533C22×#107C2312yescomplemented
534C22×#106C2312yescomplemented
535C2×#423C23124yescomplemented
536C22×C4⋊C8C2312yescomplemented
537C22×C4⋊C8C2312yescomplemented
538C2×#417C23124yescomplemented
539C2×#417C23124yescomplemented
540C2×#417C23124yescomplemented
541C2×#419C23124yescomplemented
542C2×#418C23124yescomplemented
543C2×#418C23124yescomplemented
544C22×#103C2312yescomplemented
545C22×#103C2312yescomplemented
546C22×#103C2312yescomplemented
547C22×#103C2312yescomplemented
548C22×#103C2312yescomplemented
549C22×#102C2312yes—
550C22×#102C2312yes—
551C22×#102C2312yes—
552C22×#102C2312yes—
553C22×#102C2312yescomplemented
554C22×#102C2312yescomplemented
555C22×#102C2312yescomplemented
556C2×#407C23124yescomplemented
557C2×#407C23124yescomplemented
558C22×C22⋊C8C2312yes—
559C22×C22⋊C8C2312yes—
560C22×C22⋊C8C2312yescomplemented
561C22×C22⋊C8C2312yescomplemented
562C2×C4×M16C23124yescomplemented
563C22×#97C2312yescomplemented
564C22×C4×C8C2312yescomplemented
565C26—21no—
566C26—21no—
567C26—21no—
568C26—21no—
569C26—22no—
570C26—22no—
571C26—224no—
572C26—416no—
573C26—416no—
574C26—88no—
575C26C2×D411yescharacteristic
576C26C2×D411yescharacteristic
577C22×#41—26no—
578C22×#41—224no—
579C22×#41—26no—
580C22×#41—26no—
581C22×#41—212no—
582C22×#41—212no—
583C22×#41—26no—
584C22×#41—224no—
585C22×#41—26no—
586C22×#41—296no—
587C22×#41—224no—
588C22×#41—224no—
589C22×#41—224no—
590C22×#41—296no—
591C22×#41—26no—
592C22×#41—224no—
593C22×#41—26no—
594C22×#41—296no—
595C22×#41—28no—
596C22×#41—2192no—
597C22×#41—2192no—
598C22×#41—28no—
599C22×#41—28no—
600C22×#41—216no—
601C22×#41—28no—
602C22×#41—216no—
603C22×#41—28no—
604C22×#41—2192no—
605C22×#41—28no—
606C22×#41—28no—
607C22×#41—28no—
608C22×#41—28no—
609C22×#41—416no—
610C22×#41—416no—
611C22×#41—44no—
612C22×#41—44no—
613C22×#41—48no—
614C22×#41—48no—
615C22×#41—44no—
616C22×#41—496no—
617C22×#41—44no—
618C22×#41—416no—
619C22×#41—416no—
620C22×#41—416no—
621C22×#41—416no—
622C22×#41—4192no—
623C22×#41—496no—
624C22×#41—496no—
625C22×#41—4192no—
626C22×#41—4192no—
627C22×#41C2×D4116yes—
628C22×#41C24112yes—
629C22×#41C24112yes—
630C22×#41C24112yes—
631C22×#41C24112yes—
632C22×#41C24164yes—
633C22×#41C24124yes—
634C22×#41C24124yes—
635C22×#41C24112yes—
636C22×#41C24164yescomplemented
637C22×#41C24112yescomplemented
638C22×#41C24112yescomplemented
639C22×#41C24164yescomplemented
640C23×Q8—26no—
641C23×Q8—21no—
642C23×Q8—21no—
643C23×Q8—26no—
644C23×Q8—21no—
645C23×Q8—26no—
646C23×Q8—28no—
647C23×Q8—28no—
648C23×Q8—28no—
649C23×Q8—28no—
650C23×Q8—44no—
651C23×Q8—44no—
652C23×Q8C2412yes—
653C23×Q8C2411yescharacteristic
654C23×Q8C24112yes—
655C23×Q8C2411yescharacteristic
656C23×Q8C24112yes—
657C23×Q8C2411yescharacteristic
658C23×Q8C24112yescomplemented
659C23×D4—21no—
660C23×D4—216no—
661C23×D4—216no—
662C23×D4—28no—
663C23×D4—28no—
664C23×D4—2192no—
665C23×D4—22no—
666C23×D4—22no—
667C23×D4—21no—
668C23×D4—21no—
669C23×D4—21no—
670C23×D4—21no—
671C23×D4—224no—
672C23×D4—224no—
673C23×D4—21no—
674C23×D4—21no—
675C23×D4—224no—
676C23×D4—21no—
677C23×D4—21no—
678C23×D4—22no—
679C23×D4—22no—
680C23×D4—224no—
681C23×D4—21no—
682C23×D4—21no—
683C23×D4—224no—
684C23×D4—26no—
685C23×D4—21no—
686C23×D4—28no—
687C23×D4—22no—
688C23×D4—22no—
689C23×D4—26no—
690C23×D4—21no—
691C23×D4—212no—
692C23×D4—212no—
693C23×D4—224no—
694C23×D4—224no—
695C23×D4—224no—
696C23×D4—296no—
697C23×D4—21no—
698C23×D4—21no—
699C23×D4—26no—
700C23×D4—21no—
701C23×D4—26no—
702C23×D4—21no—
703C23×D4—28no—
704C23×D4—28no—
705C23×D4—48no—
706C23×D4—48no—
707C23×D4—496no—
708C23×D4—44no—
709C23×D4—44no—
710C23×D4—416no—
711C23×D4—416no—
712C23×D4—4192no—
713C23×D4—416no—
714C23×D4—48no—
715C23×D4—416no—
716C23×D4—416no—
717C23×D4—416no—
718C23×D4—416no—
719C23×D4—88no—
720C23×D4C2×D411yescharacteristic
721C23×D4C2×D411yescharacteristic
722C23×D4C2×D411yescharacteristic
723C23×D4C2×D411yescharacteristic
724C23×D4C2×D4124yes—
725C23×D4C2×D4116yescomplemented
726C23×D4C2412yes—
727C23×D4C24112yes—
728C23×D4C2411yescharacteristic
729C23×D4C2411yescharacteristic
730C23×D4C24124yes—
731C23×D4C24124yes—
732C23×D4C24112yes—
733C23×D4C2412yes—
734C23×D4C2411yescharacteristic
735C23×D4C24112yes—
736C23×D4C24164yescomplemented
737C23×D4C24112yescomplemented
738C24×C4—21no—
739C24×C4—28no—
740C24×C4—28no—
741C24×C4—28no—
742C24×C4—28no—
743C24×C4—21no—
744C24×C4—21no—
745C24×C4—21no—
746C24×C4—21no—
747C24×C4—22no—
748C24×C4—22no—
749C24×C4—21no—
750C24×C4—21no—
751C24×C4—21no—
752C24×C4—21no—
753C24×C4—224no—
754C24×C4—224no—
755C24×C4—21no—
756C24×C4—21no—
757C24×C4—224no—
758C24×C4—21no—
759C24×C4—22no—
760C24×C4—22no—
761C24×C4—224no—
762C24×C4—21no—
763C24×C4—416no—
764C24×C4—416no—
765C24×C4—416no—
766C24×C4—88no—
767C24×C4C2×D411yescharacteristic
768C24×C4C2×D411yescharacteristic
769C24×C4C2×D411yescharacteristic
770C24×C4C2×D411yescharacteristic
771C24×C4C2×D411yescharacteristic
772C24×C4C2×D4112yes—
773C24×C4C2×D411yescharacteristic
774C24×C4C2×D4112yes—
775C24×C4C2×D411yescharacteristic
776C24×C4C2×D411yescharacteristic
777C24×C4C2411yescharacteristic
778C24×C4C2411yescharacteristic
779C24×C4C24112yes—
780C24×C4C2411yescharacteristic
781C24×C4C2411yescharacteristic
782C24×C4C24112yes—
783C24×C4C2411yescharacteristic
784#575—22048no—
785C2×#137—2192no—
786C2×#137—2384no—
787C2×#137—2192no—
788C2×#137—496no—
789C2×#137C24164yescomplemented
790C2×#137C24164yescomplemented
791C2×#137C24164yescomplemented
792C2×#137C241128yescomplemented
793C2×AGL(1,ℤ/8)—2192no—
794C2×AGL(1,ℤ/8)—2192no—
795C2×AGL(1,ℤ/8)—2192no—
796C2×AGL(1,ℤ/8)—22048no—
797C2×AGL(1,ℤ/8)—2384no—
798C2×AGL(1,ℤ/8)—2384no—
799C2×AGL(1,ℤ/8)—2384no—
800C2×AGL(1,ℤ/8)—2192no—
801C2×AGL(1,ℤ/8)—496no—
802C2×AGL(1,ℤ/8)C2×D41384yescomplemented
803C2×AGL(1,ℤ/8)C24164yes—
804C2×AGL(1,ℤ/8)C24164yes—
805C2×AGL(1,ℤ/8)C24164yescomplemented
806C2×AGL(1,ℤ/8)C24164yescomplemented
807C2×AGL(1,ℤ/8)C24164yescomplemented
808C2×AGL(1,ℤ/8)C241128yescomplemented
809C2×AGL(1,ℤ/8)C241128yescomplemented
810C2×AGL(1,ℤ/8)C24164yescomplemented
811C2×AGL(1,ℤ/8)C241128yescomplemented
812C2×#135—2384no—
813C2×#135—2384no—
814C2×#135C241128yescomplemented
815C2×#135C241128yescomplemented
816C22×Q16—216no—
817C22×Q16—216no—
818C22×Q16—48no—
819C22×Q16C24124yescomplemented
820C22×Q16C24124yescomplemented
821C22×Q16C24124yescomplemented
822C22×SD16—216no—
823C22×SD16—216no—
824C22×SD16—216no—
825C22×SD16—216no—
826C22×SD16—2384no—
827C22×SD16—216no—
828C22×SD16—216no—
829C22×SD16—48no—
830C22×SD16—48no—
831C22×SD16C2×D4132yescomplemented
832C22×SD16C24124yes—
833C22×SD16C24124yes—
834C22×SD16C24124yes—
835C22×SD16C24124yes—
836C22×SD16C24124yes—
837C22×SD16C24124yes—
838C22×SD16C241128yescomplemented
839C22×SD16C24124yescomplemented
840C22×SD16C24124yescomplemented
841C22×SD16C24124yescomplemented
842C22×D8—216no—
843C22×D8—216no—
844C22×D8—216no—
845C22×D8—2384no—
846C22×D8—216no—
847C22×D8—48no—
848C22×D8C2×D4132yescomplemented
849C22×D8C24124yes—
850C22×D8C24124yes—
851C22×D8C24124yes—
852C22×D8C24124yes—
853C22×D8C24124yes—
854C22×D8C24124yes—
855C22×D8C241128yescomplemented
856C22×M16—28no—
857C22×M16—28no—
858C22×M16—28no—
859C22×M16—2192no—
860C22×M16—2192no—
861C22×M16—216no—
862C22×M16—216no—
863C22×M16C2×D4116yescomplemented
864C22×M16C24112yes—
865C22×M16C24112yes—
866C22×M16C24112yes—
867C22×M16C24124yes—
868C22×M16C24112yes—
869C22×M16C24164yescomplemented
870C22×M16C24124yescomplemented
871C22×M16C24164yescomplemented
872C23×C8—216no—
873C23×C8—216no—
874C23×C8C2412yes—
875C23×C8C2412yes—
876C23×C8C2412yes—
877C23×C8C24124yes—
878C23×C8C2412yes—
879C23×C8C24124yescomplemented
880#550—296no—
881#550C24164yescomplemented
882D4×Q8—296no—
883D4×Q8C24164yescomplemented
884#548—296no—
885#548—296no—
886#548C24164yescomplemented
887#548C24164yescomplemented
888#547—296no—
889#547—2256no—
890#547C24164yescomplemented
891#546—2192no—
892#546—2256no—
893#546—2192no—
894#546—2192no—
895#546—2192no—
896#546—2256no—
897#546—2256no—
898#546—2256no—
899#546—296no—
900#546—296no—
901#546—2256no—
902#546—2256no—
903#546C241128yes—
904#546C241128yescomplemented
905#546C241128yescomplemented
906#546C241128yescomplemented
907#546C24164yescomplemented
908#546C24164yescomplemented
909D42—2256no—
910D42—296no—
911D42C24164yescomplemented
912#532—2256no—
913#532—296no—
914#532C24164yescomplemented
915C2×C4⋊Q8—224no—
916C2×C4⋊Q8—26no—
917C2×C4⋊Q8C24112yescomplemented
918C2×#127—224no—
919C2×#127—26no—
920C2×#127C24112yescomplemented
921C2×#124—224no—
922C2×#124—224no—
923C2×#124—212no—
924C2×#124—212no—
925C2×#124—224no—
926C2×#124—224no—
927C2×#124—296no—
928C2×#124—26no—
929C2×#124—26no—
930C2×#124C24124yes—
931C2×#124C24124yes—
932C2×#124C24164yescomplemented
933C2×#124C24112yescomplemented
934C2×#124C24112yescomplemented
935#525—296no—
936#525—296no—
937#525—2256no—
938#525—2256no—
939#525C24164yes—
940#525C24164yescomplemented
941C2×#123—224no—
942C2×#123—224no—
943C2×#123—248no—
944C2×#123—248no—
945C2×#123—248no—
946C2×#123—248no—
947C2×#123—2256no—
948C2×#123—224no—
949C2×#123—224no—
950C2×#123—224no—
951C2×#123—224no—
952C2×C22⋊Q8—212no—
953C2×C22⋊Q8—212no—
954C2×C22⋊Q8—224no—
955C2×C22⋊Q8—224no—
956C2×C22⋊Q8—296no—
957C2×C22⋊Q8—26no—
958C2×C22⋊Q8—26no—
959C2×C22⋊Q8—26no—
960C2×C22⋊Q8—26no—
961C2×C22⋊Q8—224no—
962C2×C22⋊Q8—224no—
963C2×C22⋊Q8—224no—
964C2×C22⋊Q8—224no—
965C2×C22⋊Q8C24124yes—
966C2×C22⋊Q8C24124yes—
967C2×C22⋊Q8C24112yes—
968C2×C22⋊Q8C24112yes—
969C2×C22⋊Q8C24164yescomplemented
970C2×C22⋊Q8C24112yescomplemented
971C2×C22⋊Q8C24112yescomplemented
972C2×#121—224no—
973C2×#121—224no—
974C2×#121—224no—
975C2×#121—212no—
976C2×#121—212no—
977C2×#121—224no—
978C2×#121—224no—
979C2×#121—296no—
980C2×#121—224no—
981C2×#121—224no—
982C2×#121—26no—
983C2×#121—26no—
984C2×#121—26no—
985C2×#121—26no—
986C2×#121—224no—
987C2×#121—248no—
988C2×#121—248no—
989C2×#121—248no—
990C2×#121—248no—
991C2×#121—2256no—
992C2×#121—224no—
993C2×#121—224no—
994C2×#121—224no—
995C2×#121—224no—
996C2×#121C24124yes—
997C2×#121C24124yes—
998C2×#121C24112yes—
999C2×#121C24112yes—
1000C2×#121C24164yescomplemented
1001C2×#121C24112yescomplemented
1002C2×#121C24112yescomplemented
1003C2×#120—224no—
1004C2×#120—224no—
1005C2×#120—248no—
1006C2×#120—248no—
1007C2×#120—248no—
1008C2×#120—248no—
1009C2×#120—2256no—
1010C2×#120—224no—
1011C2×#120—224no—
1012C2×#120—224no—
1013C2×#120—224no—
1014C4×#41—296no—
1015C4×#41C24164yescomplemented
1016C2×C4×Q8—26no—
1017C2×C4×Q8—26no—
1018C2×C4×Q8C24112yescomplemented
1019C2×C4×Q8C24112yescomplemented
1020C2×C4×D4—224no—
1021C2×C4×D4—224no—
1022C2×C4×D4—224no—
1023C2×C4×D4—224no—
1024C2×C4×D4—224no—
1025C2×C4×D4—224no—
1026C2×C4×D4—224no—
1027C2×C4×D4—2256no—
1028C2×C4×D4—224no—
1029C2×C4×D4—224no—
1030C2×C4×D4—224no—
1031C2×C4×D4—224no—
1032C2×C4×D4—212no—
1033C2×C4×D4—212no—
1034C2×C4×D4—224no—
1035C2×C4×D4—224no—
1036C2×C4×D4—296no—
1037C2×C4×D4—224no—
1038C2×C4×D4—26no—
1039C2×C4×D4—26no—
1040C2×C4×D4C2×D4124yes—
1041C2×C4×D4C2×D4124yes—
1042C2×C4×D4C2×D4124yes—
1043C2×C4×D4C2×D4124yes—
1044C2×C4×D4C2×D4112yes—
1045C2×C4×D4C2×D4112yes—
1046C2×C4×D4C2×D4112yes—
1047C2×C4×D4C2×D4112yes—
1048C2×C4×D4C2×D41192yes—
1049C2×C4×D4C24124yes—
1050C2×C4×D4C24124yes—
1051C2×C4×D4C24112yes—
1052C2×C4×D4C24112yes—
1053C2×C4×D4C24112yes—
1054C2×C4×D4C24112yes—
1055C2×C4×D4C24164yes—
1056C2×C4×D4C24164yescomplemented
1057C2×C4×D4C24112yescomplemented
1058C2×C4×D4C24112yescomplemented
1059C2×#117—26no—
1060C2×#117—224no—
1061C2×#117C24112yes—
1062C22×C4⋊C4—21no—
1063C22×C4⋊C4—21no—
1064C22×C4⋊C4—21no—
1065C22×C4⋊C4—22no—
1066C22×C4⋊C4—22no—
1067C22×C4⋊C4—224no—
1068C22×C4⋊C4—26no—
1069C22×C4⋊C4—21no—
1070C22×C4⋊C4—21no—
1071C22×C4⋊C4—21no—
1072C22×C4⋊C4—21no—
1073C22×C4⋊C4—21no—
1074C22×C4⋊C4—21no—
1075C22×C4⋊C4—224no—
1076C22×C4⋊C4C2×D411yescharacteristic
1077C22×C4⋊C4C2×D411yescharacteristic
1078C22×C4⋊C4C2×D411yescharacteristic
1079C22×C4⋊C4C2×D411yescharacteristic
1080C22×C4⋊C4C2×D4124yes—
1081C22×C4⋊C4C2411yescharacteristic
1082C22×C4⋊C4C2411yescharacteristic
1083C22×C4⋊C4C2412yes—
1084C22×C4⋊C4C24112yes—
1085C22×C22⋊C4—22no—
1086C22×C22⋊C4—22no—
1087C22×C22⋊C4—224no—
1088C22×C22⋊C4—21no—
1089C22×C22⋊C4—21no—
1090C22×C22⋊C4—21no—
1091C22×C22⋊C4—21no—
1092C22×C22⋊C4—21no—
1093C22×C22⋊C4—22no—
1094C22×C22⋊C4—22no—
1095C22×C22⋊C4—224no—
1096C22×C22⋊C4—22no—
1097C22×C22⋊C4—22no—
1098C22×C22⋊C4—224no—
1099C22×C22⋊C4—21no—
1100C22×C22⋊C4—21no—
1101C22×C22⋊C4—21no—
1102C22×C22⋊C4—21no—
1103C22×C22⋊C4—22no—
1104C22×C22⋊C4—22no—
1105C22×C22⋊C4—224no—
1106C22×C22⋊C4—22no—
1107C22×C22⋊C4—22no—
1108C22×C22⋊C4—224no—
1109C22×C22⋊C4—21no—
1110C22×C22⋊C4—21no—
1111C22×C22⋊C4—21no—
1112C22×C22⋊C4—21no—
1113C22×C22⋊C4—21no—
1114C22×C22⋊C4—21no—
1115C22×C22⋊C4—248no—
1116C22×C22⋊C4—248no—
1117C22×C22⋊C4—248no—
1118C22×C22⋊C4—248no—
1119C22×C22⋊C4—2256no—
1120C22×C22⋊C4—224no—
1121C22×C22⋊C4—224no—
1122C22×C22⋊C4C2×D411yescharacteristic
1123C22×C22⋊C4C2×D411yescharacteristic
1124C22×C22⋊C4C2×D411yescharacteristic
1125C22×C22⋊C4C2×D411yescharacteristic
1126C22×C22⋊C4C2×D4124yes—
1127C22×C22⋊C4C2×D411yescharacteristic
1128C22×C22⋊C4C2×D411yescharacteristic
1129C22×C22⋊C4C2×D411yescharacteristic
1130C22×C22⋊C4C2×D411yescharacteristic
1131C22×C22⋊C4C2×D4124yes—
1132C22×C42—21no—
1133C22×C42—21no—
1134C22×C42—21no—
1135C22×C42—224no—
1136C22×C42C2×D411yescharacteristic
1137C22×C42C2×D411yescharacteristic
1138C22×C42C2×D4112yes—
1139C22×C42C2411yescharacteristic
1140C22×C42C2411yescharacteristic
1141C22×C42C24112yes—
1142#497C241128yescomplemented
1143#496C241128yescomplemented
1144#495C241128yescomplemented
1145#495C241128yescomplemented
1146#470C241128yescomplemented
1147#469C241128yescomplemented
1148#468C241128yescomplemented
1149#468C241128yescomplemented
1150#467C241128yescomplemented
1151#466C241128yescomplemented
1152#465C241128yescomplemented
1153#465C241128yescomplemented
1154#464C241128yescomplemented
1155#464C241128yescomplemented
1156#463C241128yescomplemented
1157#463C241128yescomplemented
1158#463C241128yescomplemented
1159#463C241128yescomplemented
1160#461C241128yescomplemented
1161#459C241128yescomplemented
1162#452C241128yescomplemented
1163#452C241128yescomplemented
1164#452C241128yescomplemented
1165#452C241128yescomplemented
1166#451C241128yescomplemented
1167#450C241128yescomplemented
1168#450C241128yescomplemented
1169#450C241128yescomplemented
1170#449C241128yescomplemented
1171#449C241128yescomplemented
1172#449C241128yescomplemented
1173#449C241128yescomplemented
1174#448C241128yescomplemented
1175#447C241128yescomplemented
1176#447C241128yescomplemented
1177#447C241128yescomplemented
1178#442C241128yescomplemented
1179#440C241128yescomplemented
1180C4×SD16C241128yescomplemented
1181C4×D8C241128yescomplemented
1182#436C241128yescomplemented
1183#435C241128yescomplemented
1184#435C241128yescomplemented
1185C8×D4C241128yescomplemented
1186#428C24164yescomplemented
1187C2×#107C24124yescomplemented
1188C2×#106C24124yescomplemented
1189#423C24164yescomplemented
1190C2×C4⋊C8C24124yescomplemented
1191C2×C4⋊C8C24124yescomplemented
1192#419C24164yescomplemented
1193#418C24164yescomplemented
1194#418C24164yescomplemented
1195#417C24164yescomplemented
1196#417C24164yescomplemented
1197#417C24164yescomplemented
1198C2×#103C24124yescomplemented
1199C2×#103C24124yescomplemented
1200C2×#103C24124yescomplemented
1201C2×#103C24124yescomplemented
1202C2×#103C24124yescomplemented
1203C2×#102C24124yes—
1204C2×#102C24124yes—
1205C2×#102C24124yes—
1206C2×#102C24124yes—
1207C2×#102C24124yescomplemented
1208C2×#102C24124yescomplemented
1209C2×#102C24124yescomplemented
1210#407C24164yescomplemented
1211#407C24164yescomplemented
1212C2×C22⋊C8C24124yes—
1213C2×C22⋊C8C24124yes—
1214C2×C22⋊C8C24124yescomplemented
1215C2×C22⋊C8C24124yescomplemented
1216C4×M16C24164yescomplemented
1217C2×#97C24124yescomplemented
1218C2×C4×C8C24124yescomplemented
1219C25—28no—
1220C25—216no—
1221C25—28no—
1222C25—212no—
1223C25—21no—
1224C25—22no—
1225C25—28no—
1226C25—212no—
1227C25—22no—
1228C25—21no—
1229C25—21no—
1230C25—224no—
1231C25—224no—
1232C25—264no—
1233C25—212no—
1234C25—212no—
1235C25—44no—
1236C25—44no—
1237C25—44no—
1238C25—48no—
1239C25—48no—
1240C25—416no—
1241C25—416no—
1242C25—4192no—
1243C25—48no—
1244C25—48no—
1245C25—48no—
1246C25—48no—
1247C25—48no—
1248C25—416no—
1249C25—4192no—
1250C25—48no—
1251C25—48no—
1252C25—416no—
1253C25—84no—
1254C25—84no—
1255C25—88no—
1256C25—88no—
1257C25—896no—
1258C25—8256no—
1259C25C22×D411yescharacteristic
1260C25C22×D411yescharacteristic
1261C25C22×D411yescharacteristic
1262C25C22×D4112yes—
1263C25C22×D411yescharacteristic
1264C25C22×D411yescharacteristic
1265C25C22×D4112yes—
1266C2×#41—296no—
1267C2×#41—224no—
1268C2×#41—264no—
1269C2×#41—224no—
1270C2×#41—224no—
1271C2×#41—264no—
1272C2×#41—248no—
1273C2×#41—248no—
1274C2×#41—264no—
1275C2×#41—264no—
1276C2×#41—224no—
1277C2×#41—264no—
1278C2×#41—224no—
1279C2×#41—264no—
1280C2×#41—224no—
1281C2×#41—224no—
1282C2×#41—248no—
1283C2×#41—2256no—
1284C2×#41—2256no—
1285C2×#41—248no—
1286C2×#41—248no—
1287C2×#41—296no—
1288C2×#41—248no—
1289C2×#41—248no—
1290C2×#41—296no—
1291C2×#41—2256no—
1292C2×#41—248no—
1293C2×#41—248no—
1294C2×#41—248no—
1295C2×#41—248no—
1296C2×#41—4192no—
1297C2×#41—4192no—
1298C2×#41—424no—
1299C2×#41—424no—
1300C2×#41—448no—
1301C2×#41—448no—
1302C2×#41—424no—
1303C2×#41—4128no—
1304C2×#41—424no—
1305C2×#41—4192no—
1306C2×#41—4192no—
1307C2×#41—4192no—
1308C2×#41—448no—
1309C2×#41—496no—
1310C2×#41—496no—
1311C2×#41—4192no—
1312C2×#41—4768no—
1313C2×#41—448no—
1314C2×#41—448no—
1315C2×#41—448no—
1316C2×#41—4128no—
1317C2×#41—4128no—
1318C2×#41—4768no—
1319C2×#41—4768no—
1320C2×#41—448no—
1321C2×#41—448no—
1322C2×#41C22×D4196yes—
1323C2×#41C25116yes—
1324C2×#41C25116yes—
1325C2×#41C25132yes—
1326C2×#41C25132yes—
1327C2×#41C25116yes—
1328C2×#41C25116yes—
1329C2×#41C25116yes—
1330C2×#41C25116yescomplemented
1331C2×#41C25116yescomplemented
1332C22×Q8—23no—
1333C22×Q8—212no—
1334C22×Q8—26no—
1335C22×Q8—224no—
1336C22×Q8—212no—
1337C22×Q8—23no—
1338C22×Q8—23no—
1339C22×Q8—212no—
1340C22×Q8—224no—
1341C22×Q8—224no—
1342C22×Q8—24no—
1343C22×Q8—248no—
1344C22×Q8—248no—
1345C22×Q8—24no—
1346C22×Q8—24no—
1347C22×Q8—28no—
1348C22×Q8—248no—
1349C22×Q8—24no—
1350C22×Q8—28no—
1351C22×Q8—24no—
1352C22×Q8—248no—
1353C22×Q8—48no—
1354C22×Q8—48no—
1355C22×Q8—424no—
1356C22×Q8—424no—
1357C22×Q8—448no—
1358C22×Q8—448no—
1359C22×Q8—48no—
1360C22×Q8—448no—
1361C22×Q8C22×D418yes—
1362C22×Q8C25112yes—
1363C22×Q8C2516yes—
1364C22×Q8C25116yes—
1365C22×Q8C2516yes—
1366C22×Q8C25116yes—
1367C22×Q8C2516yes—
1368C22×Q8C25116yescomplemented
1369C22×D4—216no—
1370C22×D4—28no—
1371C22×D4—28no—
1372C22×D4—212no—
1373C22×D4—248no—
1374C22×D4—296no—
1375C22×D4—296no—
1376C22×D4—248no—
1377C22×D4—2256no—
1378C22×D4—212no—
1379C22×D4—212no—
1380C22×D4—224no—
1381C22×D4—224no—
1382C22×D4—264no—
1383C22×D4—212no—
1384C22×D4—212no—
1385C22×D4—212no—
1386C22×D4—212no—
1387C22×D4—212no—
1388C22×D4—212no—
1389C22×D4—264no—
1390C22×D4—264no—
1391C22×D4—212no—
1392C22×D4—212no—
1393C22×D4—224no—
1394C22×D4—224no—
1395C22×D4—264no—
1396C22×D4—264no—
1397C22×D4—216no—
1398C22×D4—296no—
1399C22×D4—212no—
1400C22×D4—26no—
1401C22×D4—224no—
1402C22×D4—23no—
1403C22×D4—24no—
1404C22×D4—28no—
1405C22×D4—24no—
1406C22×D4—248no—
1407C22×D4—212no—
1408C22×D4—212no—
1409C22×D4—212no—
1410C22×D4—224no—
1411C22×D4—224no—
1412C22×D4—264no—
1413C22×D4—212no—
1414C22×D4—26no—
1415C22×D4—224no—
1416C22×D4—23no—
1417C22×D4—23no—
1418C22×D4—224no—
1419C22×D4—224no—
1420C22×D4—248no—
1421C22×D4—248no—
1422C22×D4—264no—
1423C22×D4—264no—
1424C22×D4—212no—
1425C22×D4—28no—
1426C22×D4—248no—
1427C22×D4—24no—
1428C22×D4—24no—
1429C22×D4—28no—
1430C22×D4—24no—
1431C22×D4—248no—
1432C22×D4—448no—
1433C22×D4—448no—
1434C22×D4—4128no—
1435C22×D4—424no—
1436C22×D4—424no—
1437C22×D4—4192no—
1438C22×D4—496no—
1439C22×D4—496no—
1440C22×D4—4192no—
1441C22×D4—4768no—
1442C22×D4—448no—
1443C22×D4—448no—
1444C22×D4—44no—
1445C22×D4—44no—
1446C22×D4—416no—
1447C22×D4—416no—
1448C22×D4—4192no—
1449C22×D4—48no—
1450C22×D4—48no—
1451C22×D4—48no—
1452C22×D4—48no—
1453C22×D4—48no—
1454C22×D4—496no—
1455C22×D4—4192no—
1456C22×D4—4192no—
1457C22×D4—4192no—
1458C22×D4—416no—
1459C22×D4—48no—
1460C22×D4—416no—
1461C22×D4—48no—
1462C22×D4—4192no—
1463C22×D4—48no—
1464C22×D4—48no—
1465C22×D4—48no—
1466C22×D4—48no—
1467C22×D4—48no—
1468C22×D4—448no—
1469C22×D4—84no—
1470C22×D4—84no—
1471C22×D4—84no—
1472C22×D4—88no—
1473C22×D4—88no—
1474C22×D4—896no—
1475C22×D4C22×D4112yes—
1476C22×D4C22×D4112yes—
1477C22×D4C22×D418yes—
1478C22×D4C22×D4116yes—
1479C22×D4C22×D4112yes—
1480C22×D4C22×D4112yes—
1481C22×D4C22×D4164yes—
1482C22×D4C22×D4196yescomplemented
1483C22×D4C25112yes—
1484C22×D4C2516yes—
1485C22×D4C25116yes—
1486C22×D4C2516yes—
1487C22×D4C25116yes—
1488C22×D4C25132yes—
1489C22×D4C25132yes—
1490C22×D4C25112yes—
1491C22×D4C2516yes—
1492C22×D4C25116yes—
1493C22×D4C25116yescomplemented
1494C23×C4—28no—
1495C23×C4—28no—
1496C23×C4—21no—
1497C23×C4—28no—
1498C23×C4—28no—
1499C23×C4—28no—
1500C23×C4—296no—
1501C23×C4—28no—
1502C23×C4—296no—
1503C23×C4—216no—
1504C23×C4—212no—
1505C23×C4—24no—
1506C23×C4—24no—
1507C23×C4—24no—
1508C23×C4—248no—
1509C23×C4—24no—
1510C23×C4—248no—
1511C23×C4—24no—
1512C23×C4—24no—
1513C23×C4—248no—
1514C23×C4—24no—
1515C23×C4—24no—
1516C23×C4—248no—
1517C23×C4—212no—
1518C23×C4—212no—
1519C23×C4—212no—
1520C23×C4—212no—
1521C23×C4—22no—
1522C23×C4—21no—
1523C23×C4—21no—
1524C23×C4—22no—
1525C23×C4—21no—
1526C23×C4—21no—
1527C23×C4—224no—
1528C23×C4—224no—
1529C23×C4—264no—
1530C23×C4—212no—
1531C23×C4—212no—
1532C23×C4—212no—
1533C23×C4—212no—
1534C23×C4—212no—
1535C23×C4—212no—
1536C23×C4—212no—
1537C23×C4—264no—
1538C23×C4—264no—
1539C23×C4—224no—
1540C23×C4—224no—
1541C23×C4—264no—
1542C23×C4—212no—
1543C23×C4—44no—
1544C23×C4—44no—
1545C23×C4—48no—
1546C23×C4—48no—
1547C23×C4—4192no—
1548C23×C4—4192no—
1549C23×C4—48no—
1550C23×C4—48no—
1551C23×C4—48no—
1552C23×C4—416no—
1553C23×C4—48no—
1554C23×C4—416no—
1555C23×C4—4192no—
1556C23×C4—48no—
1557C23×C4—48no—
1558C23×C4—48no—
1559C23×C4—48no—
1560C23×C4—48no—
1561C23×C4—84no—
1562C23×C4—88no—
1563C23×C4—88no—
1564C23×C4—896no—
1565C23×C4C22×D4112yes—
1566C23×C4C22×D4112yes—
1567C23×C4C22×D4112yes—
1568C23×C4C22×D4112yes—
1569C23×C4C22×D4112yes—
1570C23×C4C22×D4112yes—
1571C23×C4C22×D416yes—
1572C23×C4C22×D416yes—
1573C23×C4C22×D4148yes—
1574C23×C4C22×D416yes—
1575C23×C4C22×D416yes—
1576C23×C4C22×D4148yes—
1577C23×C4C22×D411yescharacteristic
1578C23×C4C22×D411yescharacteristic
1579C23×C4C22×D411yescharacteristic
1580C23×C4C22×D411yescharacteristic
1581C23×C4C22×D411yescharacteristic
1582C23×C4C22×D411yescharacteristic
1583C23×C4C22×D411yescharacteristic
1584C23×C4C22×D411yescharacteristic
1585C23×C4C22×D4112yes—
1586C23×C4C22×D4112yes—
1587C23×C4C22×D416yes—
1588C23×C4C22×D411yescharacteristic
1589C23×C4C22×D418yes—
1590C23×C4H(5,𝔽2)18yes—
1591C23×C4C2516yes—
1592C23×C4C2516yes—
1593C23×C4C2516yes—
1594C23×C4C2516yes—
1595C23×C4C25116yes—
1596C23×C4C25116yes—
1597C23×C4C2516yes—
1598C23×C4C2511yescharacteristic
1599#137—2256no—
1600#137—2512no—
1601#137—2256no—
1602#137—4128no—
1603AGL(1,ℤ/8)—2256no—
1604AGL(1,ℤ/8)—2256no—
1605AGL(1,ℤ/8)—2256no—
1606AGL(1,ℤ/8)—2512no—
1607AGL(1,ℤ/8)—2512no—
1608AGL(1,ℤ/8)—2512no—
1609AGL(1,ℤ/8)—2256no—
1610AGL(1,ℤ/8)—4128no—
1611AGL(1,ℤ/8)C22×D41512yescomplemented
1612#135—2512no—
1613#135—2512no—
1614C2×Q16—296no—
1615C2×Q16—296no—
1616C2×Q16—448no—
1617C2×Q16C25132yescomplemented
1618C2×Q16C25132yescomplemented
1619C2×Q16C25132yescomplemented
1620C2×SD16—296no—
1621C2×SD16—296no—
1622C2×SD16—296no—
1623C2×SD16—296no—
1624C2×SD16—2512no—
1625C2×SD16—296no—
1626C2×SD16—296no—
1627C2×SD16—448no—
1628C2×SD16—448no—
1629C2×SD16C22×D41192yescomplemented
1630C2×SD16C25132yes—
1631C2×SD16C25132yes—
1632C2×SD16C25132yes—
1633C2×SD16C25132yes—
1634C2×SD16C25132yes—
1635C2×SD16C25132yes—
1636C2×SD16C25132yescomplemented
1637C2×SD16C25132yescomplemented
1638C2×SD16C25132yescomplemented
1639C2×D8—296no—
1640C2×D8—296no—
1641C2×D8—296no—
1642C2×D8—2512no—
1643C2×D8—296no—
1644C2×D8—448no—
1645C2×D8C22×D41192yescomplemented
1646C2×D8C25132yes—
1647C2×D8C25132yes—
1648C2×D8C25132yes—
1649C2×D8C25132yes—
1650C2×D8C25132yes—
1651C2×D8C25132yes—
1652C2×M16—248no—
1653C2×M16—248no—
1654C2×M16—248no—
1655C2×M16—2256no—
1656C2×M16—2256no—
1657C2×M16—296no—
1658C2×M16—296no—
1659C2×M16C22×D4196yescomplemented
1660C2×M16C25116yes—
1661C2×M16C25132yes—
1662C2×M16C25116yes—
1663C2×M16C25116yes—
1664C2×M16C25116yes—
1665C2×M16C25132yescomplemented
1666C22×C8—28no—
1667C22×C8—28no—
1668C22×C8—28no—
1669C22×C8—296no—
1670C22×C8—296no—
1671C22×C8C22×D4116yes—
1672C22×C8C25112yes—
1673C22×C8C25132yes—
1674C22×C8C25112yes—
1675C22×C8C25112yes—
1676C22×C8C25112yes—
1677C22×C8C25132yescomplemented
1678C4⋊Q8—264no—
1679C4⋊Q8—224no—
1680C4⋊Q8C25116yescomplemented
1681#127—264no—
1682#127—224no—
1683#127C25116yescomplemented
1684#124—264no—
1685#124—264no—
1686#124—248no—
1687#124—248no—
1688#124—264no—
1689#124—264no—
1690#124—224no—
1691#124—224no—
1692#124C25132yes—
1693#124C25132yes—
1694#124C25116yescomplemented
1695#124C25116yescomplemented
1696#123—264no—
1697#123—264no—
1698#123—2128no—
1699#123—2128no—
1700#123—2128no—
1701#123—2128no—
1702#123—264no—
1703#123—264no—
1704#123—264no—
1705#123—264no—
1706C22⋊Q8—248no—
1707C22⋊Q8—248no—
1708C22⋊Q8—264no—
1709C22⋊Q8—264no—
1710C22⋊Q8—224no—
1711C22⋊Q8—224no—
1712C22⋊Q8—224no—
1713C22⋊Q8—224no—
1714C22⋊Q8—264no—
1715C22⋊Q8—264no—
1716C22⋊Q8—264no—
1717C22⋊Q8—264no—
1718C22⋊Q8C25132yes—
1719C22⋊Q8C25132yes—
1720C22⋊Q8C25116yes—
1721C22⋊Q8C25116yes—
1722C22⋊Q8C25116yescomplemented
1723C22⋊Q8C25116yescomplemented
1724#121—264no—
1725#121—264no—
1726#121—264no—
1727#121—248no—
1728#121—248no—
1729#121—264no—
1730#121—264no—
1731#121—264no—
1732#121—264no—
1733#121—224no—
1734#121—224no—
1735#121—224no—
1736#121—224no—
1737#121—264no—
1738#121—2128no—
1739#121—2128no—
1740#121—2128no—
1741#121—2128no—
1742#121—264no—
1743#121—264no—
1744#121—264no—
1745#121—264no—
1746#121C25132yes—
1747#121C25132yes—
1748#121C25116yes—
1749#121C25116yes—
1750#121C25116yescomplemented
1751#121C25116yescomplemented
1752#120—264no—
1753#120—264no—
1754#120—2128no—
1755#120—2128no—
1756#120—2128no—
1757#120—2128no—
1758#120—264no—
1759#120—264no—
1760#120—264no—
1761#120—264no—
1762C4×Q8—224no—
1763C4×Q8—224no—
1764C4×Q8C25116yescomplemented
1765C4×Q8C25116yescomplemented
1766C4×D4—264no—
1767C4×D4—264no—
1768C4×D4—264no—
1769C4×D4—264no—
1770C4×D4—264no—
1771C4×D4—264no—
1772C4×D4—264no—
1773C4×D4—264no—
1774C4×D4—264no—
1775C4×D4—264no—
1776C4×D4—264no—
1777C4×D4—248no—
1778C4×D4—248no—
1779C4×D4—264no—
1780C4×D4—264no—
1781C4×D4—264no—
1782C4×D4—224no—
1783C4×D4—224no—
1784C4×D4C22×D4164yes—
1785C4×D4C22×D4164yes—
1786C4×D4C22×D4164yes—
1787C4×D4C22×D4164yes—
1788C4×D4C22×D4148yes—
1789C4×D4C22×D4148yes—
1790C4×D4C22×D4148yes—
1791C4×D4C22×D4148yes—
1792C4×D4C25132yes—
1793C4×D4C25132yes—
1794C4×D4C25116yes—
1795C4×D4C25116yes—
1796C4×D4C25116yes—
1797C4×D4C25116yes—
1798C4×D4C25116yescomplemented
1799C4×D4C25116yescomplemented
1800#117—224no—
1801#117—264no—
1802#117C25116yes—
1803C2×C4⋊C4—212no—
1804C2×C4⋊C4—212no—
1805C2×C4⋊C4—212no—
1806C2×C4⋊C4—224no—
1807C2×C4⋊C4—224no—
1808C2×C4⋊C4—264no—
1809C2×C4⋊C4—212no—
1810C2×C4⋊C4—26no—
1811C2×C4⋊C4—224no—
1812C2×C4⋊C4—212no—
1813C2×C4⋊C4—212no—
1814C2×C4⋊C4—212no—
1815C2×C4⋊C4—212no—
1816C2×C4⋊C4—212no—
1817C2×C4⋊C4—23no—
1818C2×C4⋊C4—23no—
1819C2×C4⋊C4—264no—
1820C2×C4⋊C4C22×D4112yes—
1821C2×C4⋊C4C22×D4112yes—
1822C2×C4⋊C4C22×D4112yes—
1823C2×C4⋊C4C22×D4112yes—
1824C2×C4⋊C4C22×D4164yes—
1825C2×C4⋊C4C25112yes—
1826C2×C4⋊C4C25116yes—
1827C2×C4⋊C4C2516yes—
1828C2×C4⋊C4C2516yes—
1829C2×C22⋊C4—224no—
1830C2×C22⋊C4—224no—
1831C2×C22⋊C4—264no—
1832C2×C22⋊C4—212no—
1833C2×C22⋊C4—212no—
1834C2×C22⋊C4—212no—
1835C2×C22⋊C4—212no—
1836C2×C22⋊C4—212no—
1837C2×C22⋊C4—224no—
1838C2×C22⋊C4—224no—
1839C2×C22⋊C4—264no—
1840C2×C22⋊C4—224no—
1841C2×C22⋊C4—224no—
1842C2×C22⋊C4—264no—
1843C2×C22⋊C4—212no—
1844C2×C22⋊C4—212no—
1845C2×C22⋊C4—212no—
1846C2×C22⋊C4—212no—
1847C2×C22⋊C4—224no—
1848C2×C22⋊C4—224no—
1849C2×C22⋊C4—264no—
1850C2×C22⋊C4—224no—
1851C2×C22⋊C4—224no—
1852C2×C22⋊C4—264no—
1853C2×C22⋊C4—212no—
1854C2×C22⋊C4—212no—
1855C2×C22⋊C4—212no—
1856C2×C22⋊C4—212no—
1857C2×C22⋊C4—212no—
1858C2×C22⋊C4—212no—
1859C2×C22⋊C4—2128no—
1860C2×C22⋊C4—2128no—
1861C2×C22⋊C4—2128no—
1862C2×C22⋊C4—2128no—
1863C2×C22⋊C4—264no—
1864C2×C22⋊C4—264no—
1865C2×C22⋊C4C22×D4112yes—
1866C2×C22⋊C4C22×D4112yes—
1867C2×C22⋊C4C22×D4112yes—
1868C2×C22⋊C4C22×D4112yes—
1869C2×C22⋊C4C22×D4164yes—
1870C2×C22⋊C4C22×D4112yes—
1871C2×C22⋊C4C22×D4112yes—
1872C2×C22⋊C4C22×D4112yes—
1873C2×C22⋊C4C22×D4112yes—
1874C2×C22⋊C4C22×D4164yes—
1875C2×C42—212no—
1876C2×C42—212no—
1877C2×C42—212no—
1878C2×C42—264no—
1879C2×C42C22×D4112yes—
1880C2×C42C22×D4112yes—
1881C2×C42C22×D416yes—
1882C2×C42C22×D416yes—
1883C2×C42C22×D4148yes—
1884C2×C42C2516yes—
1885C2×C42C2516yes—
1886C2×C42C25116yes—
1887#107C25132yescomplemented
1888#106C25132yescomplemented
1889C4⋊C8C25132yescomplemented
1890C4⋊C8C25132yescomplemented
1891#103C25132yescomplemented
1892#103C25132yescomplemented
1893#103C25132yescomplemented
1894#103C25132yescomplemented
1895#103C25132yescomplemented
1896#102C25132yes—
1897#102C25132yes—
1898#102C25132yes—
1899#102C25132yes—
1900#102C25132yescomplemented
1901#102C25132yescomplemented
1902#102C25132yescomplemented
1903C22⋊C8C25132yes—
1904C22⋊C8C25132yes—
1905C22⋊C8C25132yescomplemented
1906C22⋊C8C25132yescomplemented
1907#97C25132yescomplemented
1908C4×C8C25132yescomplemented
1909C24—24no—
1910C24—24no—
1911C24—24no—
1912C24—24no—
1913C24—24no—
1914C24—24no—
1915C24—24no—
1916C24—26no—
1917C24—212no—
1918C24—216no—
1919C24—24no—
1920C24—24no—
1921C24—248no—
1922C24—24no—
1923C24—28no—
1924C24—216no—
1925C24—296no—
1926C24—24no—
1927C24—24no—
1928C24—24no—
1929C24—248no—
1930C24—248no—
1931C24—216no—
1932C24—212no—
1933C24—26no—
1934C24—26no—
1935C24—232no—
1936C24—232no—
1937C24—216no—
1938C24—216no—
1939C24—424no—
1940C24—424no—
1941C24—424no—
1942C24—464no—
1943C24—448no—
1944C24—448no—
1945C24—496no—
1946C24—496no—
1947C24—4256no—
1948C24—448no—
1949C24—448no—
1950C24—4128no—
1951C24—448no—
1952C24—448no—
1953C24—448no—
1954C24—496no—
1955C24—4256no—
1956C24—48no—
1957C24—44no—
1958C24—44no—
1959C24—48no—
1960C24—48no—
1961C24—44no—
1962C24—44no—
1963C24—44no—
1964C24—44no—
1965C24—448no—
1966C24—48no—
1967C24—44no—
1968C24—44no—
1969C24—48no—
1970C24—448no—
1971C24—496no—
1972C24—832no—
1973C24—824no—
1974C24—824no—
1975C24—848no—
1976C24—848no—
1977C24—864no—
1978C24—8128no—
1979C24—864no—
1980C24—8128no—
1981C24—864no—
1982C24—81536no—
1983C24—8128no—
1984C24D4218yes—
1985C24#57518yescomplemented
1986C24C23×D416yes—
1987C24C23×D416yes—
1988C24C23×D416yes—
1989C24C23×D4116yes—
1990C24C23×D416yes—
1991C24C23×D416yes—
1992C24C23×D4116yes—
1993C24C23×D411yescharacteristic
1994#41—232no—
1995#41—2192no—
1996#41—232no—
1997#41—232no—
1998#41—264no—
1999#41—232no—
2000#41—232no—
2001#41—264no—
2002#41—232no—
2003#41—232no—
2004#41—232no—
2005#41—232no—
2006#41—4256no—
2007#41—4256no—
2008#41—416no—
2009#41—416no—
2010#41—432no—
2011#41—432no—
2012#41—416no—
2013#41—416no—
2014#41—4256no—
2015#41—4256no—
2016#41—4256no—
2017#41—496no—
2018#41—4192no—
2019#41—4192no—
2020#41—4256no—
2021#41—496no—
2022#41—496no—
2023#41—496no—
2024#41—496no—
2025#41—496no—
2026#41C23×D4164yes—
2027C2×Q8—26no—
2028C2×Q8—216no—
2029C2×Q8—212no—
2030C2×Q8—216no—
2031C2×Q8—26no—
2032C2×Q8—26no—
2033C2×Q8—216no—
2034C2×Q8—212no—
2035C2×Q8—224no—
2036C2×Q8—232no—
2037C2×Q8—232no—
2038C2×Q8—212no—
2039C2×Q8—212no—
2040C2×Q8—224no—
2041C2×Q8—232no—
2042C2×Q8—212no—
2043C2×Q8—224no—
2044C2×Q8—212no—
2045C2×Q8—232no—
2046C2×Q8—448no—
2047C2×Q8—448no—
2048C2×Q8—416no—
2049C2×Q8—416no—
2050C2×Q8—496no—
2051C2×Q8—496no—
2052C2×Q8—448no—
2053C2×Q8—424no—
2054C2×Q8—412no—
2055C2×Q8—412no—
2056C2×Q8—496no—
2057C2×Q8C23×D4124yes—
2058C2×Q8C2618yes—
2059C2×Q8C2614yes—
2060C2×Q8C2614yes—
2061C2×Q8C2614yes—
2062C2×D4—216no—
2063C2×D4—296no—
2064C2×D4—248no—
2065C2×D4—248no—
2066C2×D4—232no—
2067C2×D4—264no—
2068C2×D4—264no—
2069C2×D4—232no—
2070C2×D4—216no—
2071C2×D4—216no—
2072C2×D4—232no—
2073C2×D4—232no—
2074C2×D4—216no—
2075C2×D4—216no—
2076C2×D4—216no—
2077C2×D4—216no—
2078C2×D4—216no—
2079C2×D4—216no—
2080C2×D4—216no—
2081C2×D4—216no—
2082C2×D4—232no—
2083C2×D4—232no—
2084C2×D4—216no—
2085C2×D4—212no—
2086C2×D4—26no—
2087C2×D4—212no—
2088C2×D4—224no—
2089C2×D4—212no—
2090C2×D4—232no—
2091C2×D4—216no—
2092C2×D4—216no—
2093C2×D4—216no—
2094C2×D4—232no—
2095C2×D4—232no—
2096C2×D4—216no—
2097C2×D4—212no—
2098C2×D4—26no—
2099C2×D4—26no—
2100C2×D4—216no—
2101C2×D4—224no—
2102C2×D4—232no—
2103C2×D4—212no—
2104C2×D4—212no—
2105C2×D4—224no—
2106C2×D4—212no—
2107C2×D4—232no—
2108C2×D4—248no—
2109C2×D4—296no—
2110C2×D4—2192no—
2111C2×D4—224no—
2112C2×D4—432no—
2113C2×D4—432no—
2114C2×D4—416no—
2115C2×D4—416no—
2116C2×D4—4256no—
2117C2×D4—4192no—
2118C2×D4—4192no—
2119C2×D4—4256no—
2120C2×D4—496no—
2121C2×D4—496no—
2122C2×D4—424no—
2123C2×D4—424no—
2124C2×D4—496no—
2125C2×D4—496no—
2126C2×D4—4256no—
2127C2×D4—448no—
2128C2×D4—448no—
2129C2×D4—448no—
2130C2×D4—448no—
2131C2×D4—448no—
2132C2×D4—4128no—
2133C2×D4—4256no—
2134C2×D4—4256no—
2135C2×D4—4256no—
2136C2×D4—496no—
2137C2×D4—448no—
2138C2×D4—496no—
2139C2×D4—448no—
2140C2×D4—4256no—
2141C2×D4—448no—
2142C2×D4—448no—
2143C2×D4—448no—
2144C2×D4—448no—
2145C2×D4—448no—
2146C2×D4—424no—
2147C2×D4—496no—
2148C2×D4—412no—
2149C2×D4—412no—
2150C2×D4—824no—
2151C2×D4—824no—
2152C2×D4—824no—
2153C2×D4—848no—
2154C2×D4—848no—
2155C2×D4—8128no—
2156C2×D4C23×D4116yes—
2157C2×D4C23×D4116yes—
2158C2×D4C23×D4124yes—
2159C2×D4C23×D4148yes—
2160C2×D4C23×D4116yes—
2161C2×D4C23×D4116yes—
2162C2×D4C23×D4164yescomplemented
2163C2×D4C2618yes—
2164C2×D4C2614yes—
2165C2×D4C2614yes—
2166C2×D4C2618yes—
2167C2×D4C2614yes—
2168C22×C4—24no—
2169C22×C4—24no—
2170C22×C4—26no—
2171C22×C4—24no—
2172C22×C4—24no—
2173C22×C4—24no—
2174C22×C4—248no—
2175C22×C4—24no—
2176C22×C4—248no—
2177C22×C4—28no—
2178C22×C4—24no—
2179C22×C4—24no—
2180C22×C4—216no—
2181C22×C4—212no—
2182C22×C4—212no—
2183C22×C4—212no—
2184C22×C4—232no—
2185C22×C4—212no—
2186C22×C4—232no—
2187C22×C4—212no—
2188C22×C4—212no—
2189C22×C4—232no—
2190C22×C4—212no—
2191C22×C4—212no—
2192C22×C4—232no—
2193C22×C4—248no—
2194C22×C4—248no—
2195C22×C4—224no—
2196C22×C4—224no—
2197C22×C4—248no—
2198C22×C4—2192no—
2199C22×C4—224no—
2200C22×C4—224no—
2201C22×C4—248no—
2202C22×C4—2192no—
2203C22×C4—296no—
2204C22×C4—26no—
2205C22×C4—26no—
2206C22×C4—216no—
2207C22×C4—212no—
2208C22×C4—216no—
2209C22×C4—212no—
2210C22×C4—26no—
2211C22×C4—26no—
2212C22×C4—216no—
2213C22×C4—216no—
2214C22×C4—216no—
2215C22×C4—232no—
2216C22×C4—232no—
2217C22×C4—216no—
2218C22×C4—216no—
2219C22×C4—216no—
2220C22×C4—216no—
2221C22×C4—216no—
2222C22×C4—216no—
2223C22×C4—216no—
2224C22×C4—232no—
2225C22×C4—232no—
2226C22×C4—424no—
2227C22×C4—424no—
2228C22×C4—448no—
2229C22×C4—448no—
2230C22×C4—4256no—
2231C22×C4—4256no—
2232C22×C4—448no—
2233C22×C4—448no—
2234C22×C4—448no—
2235C22×C4—496no—
2236C22×C4—448no—
2237C22×C4—496no—
2238C22×C4—4256no—
2239C22×C4—448no—
2240C22×C4—448no—
2241C22×C4—48no—
2242C22×C4—44no—
2243C22×C4—448no—
2244C22×C4—48no—
2245C22×C4—44no—
2246C22×C4—44no—
2247C22×C4—44no—
2248C22×C4—448no—
2249C22×C4—448no—
2250C22×C4—824no—
2251C22×C4—848no—
2252C22×C4—848no—
2253C22×C4—8128no—
2254C22×C4D4218yes—
2255C22×C4D42148yes—
2256C22×C4C23×D416yes—
2257C22×C4C23×D416yes—
2258C22×C4C23×D416yes—
2259C22×C4C23×D416yes—
2260C22×C4C23×D416yes—
2261C22×C4C23×D416yes—
2262C22×C4C23×D4116yes—
2263C22×C4C23×D416yes—
2264C22×C4C23×D416yes—
2265C22×C4C23×D4116yes—
2266C22×C4C23×D4116yes—
2267C22×C4C23×D4116yes—
2268C22×C4C23×D4116yes—
2269C22×C4C23×D4116yes—
2270C22×C4C23×D4112yes—
2271C22×C4C23×D4112yes—
2272C22×C4C23×D4112yes—
2273C22×C4C23×D4112yes—
2274C22×C4C23×D4116yes—
2275C22×C4C23×D4116yes—
2276C22×C4C23×D414yes—
2277C22×C4C23×D4124yes—
2278C22×C4C23×D416yes—
2279C22×C4C23×D413yes—
2280C22×C4C23×D4112yes—
2281C22×C4C2×H(5,𝔽2)14yes—
2282C22×C4C2×H(5,𝔽2)124yes—
2283C22×C4C2614yes—
2284C22×C4C2614yes—
2285C22×C4C2614yes—
2286C22×C4C2614yes—
2287C22×C4C2613yes—
2288C22×C4C2614yes—
2289Q16—264no—
2290Q16—264no—
2291Q16—432no—
2292SD16—264no—
2293SD16—264no—
2294SD16—264no—
2295SD16—264no—
2296SD16—264no—
2297SD16—264no—
2298SD16—432no—
2299SD16—432no—
2300SD16C23×D41128yescomplemented
2301D8—264no—
2302D8—264no—
2303D8—264no—
2304D8—264no—
2305D8—432no—
2306D8C23×D41128yescomplemented
2307M16—232no—
2308M16—232no—
2309M16—232no—
2310M16—264no—
2311M16—264no—
2312M16C23×D4164yescomplemented
2313C2×C8—224no—
2314C2×C8—224no—
2315C2×C8—224no—
2316C2×C8—264no—
2317C2×C8—264no—
2318C2×C8C23×D4148yes—
2319C2×C8C2618yes—
2320C2×C8C2618yes—
2321C2×C8C2618yes—
2322C2×C8C2618yes—
2323C4⋊C4—216no—
2324C4⋊C4—216no—
2325C4⋊C4—216no—
2326C4⋊C4—232no—
2327C4⋊C4—232no—
2328C4⋊C4—216no—
2329C4⋊C4—212no—
2330C4⋊C4—216no—
2331C4⋊C4—216no—
2332C4⋊C4—216no—
2333C4⋊C4—216no—
2334C4⋊C4—216no—
2335C4⋊C4—26no—
2336C4⋊C4—26no—
2337C4⋊C4C23×D4116yes—
2338C4⋊C4C23×D4116yes—
2339C4⋊C4C23×D4116yes—
2340C4⋊C4C23×D4116yes—
2341C4⋊C4C2614yes—
2342C4⋊C4C2614yes—
2343C4⋊C4C2618yes—
2344C22⋊C4—232no—
2345C22⋊C4—232no—
2346C22⋊C4—216no—
2347C22⋊C4—216no—
2348C22⋊C4—216no—
2349C22⋊C4—216no—
2350C22⋊C4—216no—
2351C22⋊C4—232no—
2352C22⋊C4—232no—
2353C22⋊C4—232no—
2354C22⋊C4—232no—
2355C22⋊C4—216no—
2356C22⋊C4—216no—
2357C22⋊C4—216no—
2358C22⋊C4—216no—
2359C22⋊C4—232no—
2360C22⋊C4—232no—
2361C22⋊C4—232no—
2362C22⋊C4—232no—
2363C22⋊C4—216no—
2364C22⋊C4—216no—
2365C22⋊C4—216no—
2366C22⋊C4—216no—
2367C22⋊C4—216no—
2368C22⋊C4—216no—
2369C22⋊C4C23×D4116yes—
2370C22⋊C4C23×D4116yes—
2371C22⋊C4C23×D4116yes—
2372C22⋊C4C23×D4116yes—
2373C22⋊C4C23×D4116yes—
2374C22⋊C4C23×D4116yes—
2375C22⋊C4C23×D4116yes—
2376C22⋊C4C23×D4116yes—
2377C42—216no—
2378C42—216no—
2379C42—216no—
2380C42C23×D4116yes—
2381C42C23×D4116yes—
2382C42C23×D4112yes—
2383C42C23×D4112yes—
2384C42C2614yes—
2385C42C2614yes—
2386C23—212no—
2387C23—212no—
2388C23—212no—
2389C23—232no—
2390C23—232no—
2391C23—212no—
2392C23—212no—
2393C23—212no—
2394C23—212no—
2395C23—232no—
2396C23—212no—
2397C23—212no—
2398C23—212no—
2399C23—24no—
2400C23—28no—
2401C23—212no—
2402C23—212no—
2403C23—232no—
2404C23—212no—
2405C23—224no—
2406C23—248no—
2407C23—264no—
2408C23—232no—
2409C23—28no—
2410C23—24no—
2411C23—24no—
2412C23—416no—
2413C23—416no—
2414C23—416no—
2415C23—4192no—
2416C23—432no—
2417C23—432no—
2418C23—464no—
2419C23—464no—
2420C23—432no—
2421C23—432no—
2422C23—4384no—
2423C23—432no—
2424C23—432no—
2425C23—432no—
2426C23—464no—
2427C23—412no—
2428C23—424no—
2429C23—424no—
2430C23—412no—
2431C23—416no—
2432C23—416no—
2433C23—416no—
2434C23—464no—
2435C23—432no—
2436C23—412no—
2437C23—412no—
2438C23—424no—
2439C23—432no—
2440C23—464no—
2441C23—424no—
2442C23—412no—
2443C23—412no—
2444C23—412no—
2445C23—412no—
2446C23—432no—
2447C23—424no—
2448C23—896no—
2449C23—816no—
2450C23—816no—
2451C23—832no—
2452C23—832no—
2453C23—8192no—
2454C23—8384no—
2455C23—8192no—
2456C23—8192no—
2457C23—81024no—
2458C23—8384no—
2459C23—816no—
2460C23—816no—
2461C23—832no—
2462C23C2×D42124yes—
2463C23C2×D4214yes—
2464C23C2×#57514yes—
2465C23C2×#575124yescomplemented
2466C23#358514yes—
2467C23C24×D414yes—
2468C23C24×D414yes—
2469C23C24×D414yes—
2470C23C24×D414yes—
2471C23C24×D414yes—
2472C23C24×D413yes—
2473Q8—24no—
2474Q8—224no—
2475Q8—24no—
2476Q8—24no—
2477Q8—28no—
2478Q8—24no—
2479Q8—28no—
2480Q8—24no—
2481Q8—432no—
2482Q8—432no—
2483Q8—432no—
2484Q8—424no—
2485Q8—412no—
2486Q8—412no—
2487Q8C24×D418yes—
2488D4—232no—
2489D4—232no—
2490D4—264no—
2491D4—24no—
2492D4—28no—
2493D4—24no—
2494D4—28no—
2495D4—24no—
2496D4—24no—
2497D4—28no—
2498D4—24no—
2499D4—248no—
2500D4—264no—
2501D4—224no—
2502D4—416no—
2503D4—416no—
2504D4—464no—
2505D4—464no—
2506D4—432no—
2507D4—432no—
2508D4—432no—
2509D4—432no—
2510D4—432no—
2511D4—464no—
2512D4—432no—
2513D4—464no—
2514D4—432no—
2515D4—432no—
2516D4—432no—
2517D4—432no—
2518D4—432no—
2519D4—432no—
2520D4—424no—
2521D4—412no—
2522D4—412no—
2523D4—816no—
2524D4—816no—
2525D4—816no—
2526D4—832no—
2527D4—832no—
2528D4C24×D418yes—
2529D4C24×D4116yes—
2530C2×C4—212no—
2531C2×C4—212no—
2532C2×C4—212no—
2533C2×C4—212no—
2534C2×C4—24no—
2535C2×C4—212no—
2536C2×C4—212no—
2537C2×C4—212no—
2538C2×C4—232no—
2539C2×C4—212no—
2540C2×C4—232no—
2541C2×C4—224no—
2542C2×C4—24no—
2543C2×C4—24no—
2544C2×C4—24no—
2545C2×C4—24no—
2546C2×C4—24no—
2547C2×C4—24no—
2548C2×C4—24no—
2549C2×C4—24no—
2550C2×C4—232no—
2551C2×C4—232no—
2552C2×C4—224no—
2553C2×C4—224no—
2554C2×C4—232no—
2555C2×C4—224no—
2556C2×C4—224no—
2557C2×C4—232no—
2558C2×C4—264no—
2559C2×C4—24no—
2560C2×C4—24no—
2561C2×C4—28no—
2562C2×C4—28no—
2563C2×C4—24no—
2564C2×C4—24no—
2565C2×C4—416no—
2566C2×C4—416no—
2567C2×C4—432no—
2568C2×C4—432no—
2569C2×C4—432no—
2570C2×C4—432no—
2571C2×C4—432no—
2572C2×C4—464no—
2573C2×C4—432no—
2574C2×C4—464no—
2575C2×C4—432no—
2576C2×C4—432no—
2577C2×C4—412no—
2578C2×C4—424no—
2579C2×C4—412no—
2580C2×C4—432no—
2581C2×C4—424no—
2582C2×C4—412no—
2583C2×C4—412no—
2584C2×C4—432no—
2585C2×C4—432no—
2586C2×C4—816no—
2587C2×C4—832no—
2588C2×C4—832no—
2589C2×C4C2×D42124yes—
2590C2×C4C2×D42112yes—
2591C2×C4C2×D42148yes—
2592C2×C4C24×D414yes—
2593C2×C4C24×D414yes—
2594C2×C4C24×D414yes—
2595C2×C4C24×D414yes—
2596C2×C4C24×D414yes—
2597C2×C4C24×D414yes—
2598C2×C4C24×D414yes—
2599C2×C4C24×D414yes—
2600C2×C4C24×D416yes—
2601C2×C4C24×D418yes—
2602C2×C4C24×D414yes—
2603C2×C4C24×D413yes—
2604C2×C4C22×H(5,𝔽2)16yes—
2605C2×C4C22×H(5,𝔽2)18yes—
2606C2×C4C2711yescharacteristic
2607C8—28no—
2608C8—28no—
2609C8—28no—
2610C8C24×D4116yes—
2611C22—24no—
2612C22—24no—
2613C22—24no—
2614C22—24no—
2615C22—248no—
2616C22—248no—
2617C22—24no—
2618C22—24no—
2619C22—24no—
2620C22—28no—
2621C22—216no—
2622C22—24no—
2623C22—24no—
2624C22—24no—
2625C22—24no—
2626C22—24no—
2627C22—24no—
2628C22—464no—
2629C22—4128no—
2630C22—44no—
2631C22—48no—
2632C22—48no—
2633C22—44no—
2634C22—424no—
2635C22—424no—
2636C22—424no—
2637C22—496no—
2638C22—448no—
2639C22—44no—
2640C22—44no—
2641C22—48no—
2642C22—44no—
2643C22—44no—
2644C22—48no—
2645C22—48no—
2646C22—44no—
2647C22—44no—
2648C22—832no—
2649C22—864no—
2650C22—8128no—
2651C22—864no—
2652C22—864no—
2653C22—8128no—
2654C22—824no—
2655C22—824no—
2656C22—848no—
2657C22#61066116yesdirect product factor
2658C22C22×D4218yes—
2659C22C22×D4216yes—
2660C22C22×#57516yes—
2661C22C22×#57518yescomplemented
2662C22C2×#358516yes—
2663C22C25×D411yescharacteristic
2664C4—24no—
2665C4—24no—
2666C4—24no—
2667C4—24no—
2668C4—28no—
2669C4—24no—
2670C4—24no—
2671C4—24no—
2672C4—24no—
2673C4—48no—
2674C4—44no—
2675C4—44no—
2676C4—44no—
2677C4—48no—
2678C4—44no—
2679C4C22×D4218yes—
2680C4C22×D4216yes—
2681C4C25×D411yescharacteristic
2682C4C23×H(5,𝔽2)11yescharacteristic
2683C2—28no—
2684C2—28no—
2685C2—44no—
2686C2—44no—
2687C2—44no—
2688C2—416no—
2689C2—48no—
2690C2—84no—
2691C2—84no—
2692C2—88no—
2693C2C2×#61066112yesdirect product factor
2694C2C23×D4211yescharacteristic
2695C2C23×#57511yescharacteristic
2696C2C22×#358511yescharacteristic
subgroupG/H
center, socleC24C23×D4
commutator, Frattini, cosocleC2×C4C27
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C4×D4 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#575C2semidirect
2. C24×AGL(1,ℤ/8)C2semidirect
3. C22×D4×#41C2semidirect
4. C23×#546C2semidirect
5. C2×#61066C2direct (N × H)
6. C22×#3273C2semidirect
7. C22×#3275C2semidirect
8. C22×#3268C2semidirect
9. C22×#3267C2semidirect
10. C22×#3266C2semidirect
11. C22×#3264C2semidirect
12. C22×#3282C2semidirect
13. C22×#3280C2semidirect
14. C22×#3153C2semidirect
15. C22×#3040C2semidirect
16. C22×#3036C2semidirect
17. C22×#3056C2semidirect
18. C22×#3055C2semidirect
19. C22×#3007C2semidirect
20. C22×#3006C2semidirect
21. C22×#3005C2semidirect
22. C22×#3003C2semidirect
23. C22×D4×M16C2semidirect
24. C22×C4×AGL(1,ℤ/8)C2semidirect
26. C24×#41C22semidirect
27. C24×#41C22semidirect
28. C25×D4C22semidirect
30. C22×#575C22semidirect
31. C23×#137C22semidirect
32. C23×#137C22semidirect
33. C23×#137C22semidirect
34. C23×#137C22semidirect
38. C23×AGL(1,ℤ/8)C22semidirect
39. C23×AGL(1,ℤ/8)C22semidirect
40. C23×AGL(1,ℤ/8)C22semidirect
41. C23×AGL(1,ℤ/8)C22semidirect
42. C23×AGL(1,ℤ/8)C22semidirect
43. C23×AGL(1,ℤ/8)C22semidirect
44. C23×AGL(1,ℤ/8)C22semidirect
45. C23×AGL(1,ℤ/8)C22semidirect
46. C23×#135C22semidirect
47. C23×#135C22semidirect
48. C24×SD16C22semidirect
49. C24×D8C22semidirect
50. C24×M16C22semidirect
51. C24×M16C22semidirect
53. C2×D4×#41C22semidirect
54. C22×#550C22semidirect
56. C22×#547C22semidirect
57. C22×#548C22semidirect
58. C22×#548C22semidirect
67. C22×#546C22semidirect
68. C22×#546C22semidirect
69. C22×#546C22semidirect
70. C22×#546C22semidirect
71. C22×#546C22semidirect
72. C22×#546C22semidirect
73. C22×D4×Q8C22semidirect
75. C22×D42C22semidirect
77. C22×#532C22semidirect
78. C23×#124C22semidirect
82. C22×#525C22semidirect
84. C23×C22⋊Q8C22semidirect
86. C23×#121C22semidirect
88. C22×C4×#41C22semidirect
91. C23×C4×D4C22semidirect
93. #61066C22direct (N × H)
94. C2×#3282C22semidirect
95. C2×#3280C22semidirect
96. C2×#3275C22semidirect
97. C2×#3273C22semidirect
98. C2×#3268C22semidirect
99. C2×#3267C22semidirect
100. C2×#3266C22semidirect
101. C2×#3264C22semidirect
102. C2×#3153C22semidirect
103. C22×#497C22semidirect
104. C22×#496C22semidirect
105. C22×#495C22semidirect
106. C22×#495C22semidirect
107. C2×#3056C22semidirect
108. C2×#3055C22semidirect
109. C22×#470C22semidirect
110. C22×#469C22semidirect
111. C22×#468C22semidirect
112. C22×#468C22semidirect
113. C22×#467C22semidirect
114. C22×#466C22semidirect
115. C22×#465C22semidirect
116. C22×#465C22semidirect
117. C2×#3040C22semidirect
118. C2×#3036C22semidirect
119. C22×#464C22semidirect
120. C22×#464C22semidirect
121. C22×#463C22semidirect
122. C22×#463C22semidirect
123. C22×#463C22semidirect
124. C22×#463C22semidirect
125. C22×#461C22semidirect
126. C22×#459C22semidirect
127. C2×#3007C22semidirect
128. C2×#3006C22semidirect
129. C2×#3005C22semidirect
130. C2×#3003C22semidirect
131. C22×#452C22semidirect
132. C22×#452C22semidirect
133. C22×#452C22semidirect
134. C22×#452C22semidirect
135. C22×#449C22semidirect
136. C22×#449C22semidirect
137. C22×#449C22semidirect
138. C22×#449C22semidirect
139. C22×#451C22semidirect
140. C22×#448C22semidirect
141. C22×#450C22semidirect
142. C22×#450C22semidirect
143. C22×#450C22semidirect
144. C22×#447C22semidirect
145. C22×#447C22semidirect
146. C22×#447C22semidirect
147. C2×C4×AGL(1,ℤ/8)C22semidirect
148. C22×#442C22semidirect
149. C22×#440C22semidirect
150. C22×C4×SD16C22semidirect
151. C22×C4×D8C22semidirect
152. C2×D4×M16C22semidirect
153. C22×#436C22semidirect
154. C22×#435C22semidirect
155. C22×#435C22semidirect
156. C22×C8×D4C22semidirect
157. C22×#428C22semidirect
158. C22×#423C22semidirect
159. C22×#417C22semidirect
160. C22×#417C22semidirect
161. C22×#417C22semidirect
162. C22×#419C22semidirect
163. C22×#418C22semidirect
164. C22×#418C22semidirect
165. C22×#407C22semidirect
166. C22×#407C22semidirect
167. C22×C4×M16C22semidirect
192. C23×#41C23semidirect
193. C23×#41C23semidirect
194. C23×#41C23semidirect
195. C23×#41C23semidirect
198. C24×Q8C23semidirect
216. C24×D4C23semidirect
217. C24×D4C23semidirect
225. C2×#575C23semidirect
230. C22×#137C23semidirect
231. C22×#137C23semidirect
232. C22×#137C23semidirect
233. C22×#137C23semidirect
243. C22×AGL(1,ℤ/8)D4semidirect
246. C22×AGL(1,ℤ/8)C23semidirect
247. C22×AGL(1,ℤ/8)C23semidirect
248. C22×AGL(1,ℤ/8)C23semidirect
249. C22×AGL(1,ℤ/8)C23semidirect
250. C22×AGL(1,ℤ/8)C23semidirect
251. C22×AGL(1,ℤ/8)C23semidirect
252. C22×AGL(1,ℤ/8)C23semidirect
253. C22×AGL(1,ℤ/8)C23semidirect
256. C22×#135C23semidirect
257. C22×#135C23semidirect
258. C23×Q16C23semidirect
259. C23×Q16C23semidirect
260. C23×Q16C23semidirect
268. C23×SD16C23semidirect
269. C23×SD16C23semidirect
270. C23×SD16C23semidirect
271. C23×SD16C23semidirect
279. C23×D8C23semidirect
287. C23×M16C23semidirect
288. C23×M16C23semidirect
289. C23×M16C23semidirect
291. C24×C8C23semidirect
293. D4×#41C23semidirect
295. C2×#550C23semidirect
297. C2×D4×Q8C23semidirect
300. C2×#548C23semidirect
301. C2×#548C23semidirect
304. C2×#547C23semidirect
319. C2×#546C23semidirect
320. C2×#546C23semidirect
321. C2×#546C23semidirect
322. C2×#546C23semidirect
323. C2×#546C23semidirect
324. C2×#546C23semidirect
327. C2×D42C23semidirect
330. C2×#532C23semidirect
332. C22×C4⋊Q8C23semidirect
334. C22×#127C23semidirect
342. C22×#124C23semidirect
343. C22×#124C23semidirect
344. C22×#124C23semidirect
350. C2×#525C23semidirect
373. C22×C22⋊Q8C23semidirect
374. C22×C22⋊Q8C23semidirect
375. C22×C22⋊Q8C23semidirect
398. C22×#121C23semidirect
399. C22×#121C23semidirect
400. C22×#121C23semidirect
413. C2×C4×#41C23semidirect
414. C22×C4×Q8C23semidirect
415. C22×C4×Q8C23semidirect
444. C22×C4×D4C23semidirect
445. C22×C4×D4C23semidirect
446. C22×C4×D4C23semidirect
469. #3282C23semidirect
470. #3280C23semidirect
471. #3275C23semidirect
472. #3273C23semidirect
473. #3268C23semidirect
474. #3267C23semidirect
475. #3266C23semidirect
476. #3264C23semidirect
477. #3153C23semidirect
478. C2×#497C23semidirect
479. C2×#496C23semidirect
480. C2×#495C23semidirect
481. C2×#495C23semidirect
482. #3056C23semidirect
483. #3055C23semidirect
484. C2×#470C23semidirect
485. C2×#469C23semidirect
486. C2×#468C23semidirect
487. C2×#468C23semidirect
488. C2×#467C23semidirect
489. C2×#466C23semidirect
490. C2×#465C23semidirect
491. C2×#465C23semidirect
492. #3040C23semidirect
493. #3036C23semidirect
494. C2×#464C23semidirect
495. C2×#464C23semidirect
496. C2×#463C23semidirect
497. C2×#463C23semidirect
498. C2×#463C23semidirect
499. C2×#463C23semidirect
500. C2×#461C23semidirect
501. C2×#459C23semidirect
502. #3007C23semidirect
503. #3006C23semidirect
504. #3005C23semidirect
505. #3003C23semidirect
506. C2×#452C23semidirect
507. C2×#452C23semidirect
508. C2×#452C23semidirect
509. C2×#452C23semidirect
510. C2×#449C23semidirect
511. C2×#449C23semidirect
512. C2×#449C23semidirect
513. C2×#449C23semidirect
514. C2×#451C23semidirect
515. C2×#448C23semidirect
516. C2×#450C23semidirect
517. C2×#450C23semidirect
518. C2×#450C23semidirect
519. C2×#447C23semidirect
520. C2×#447C23semidirect
521. C2×#447C23semidirect
522. C4×AGL(1,ℤ/8)C23semidirect
523. C2×#442C23semidirect
524. C2×#440C23semidirect
525. C2×C4×SD16C23semidirect
526. C2×C4×D8C23semidirect
527. D4×M16C23semidirect
528. C2×#436C23semidirect
529. C2×#435C23semidirect
530. C2×#435C23semidirect
531. C2×C8×D4C23semidirect
532. C2×#428C23semidirect
533. C22×#107C23semidirect
534. C22×#106C23semidirect
535. C2×#423C23semidirect
536. C22×C4⋊C8C23semidirect
537. C22×C4⋊C8C23semidirect
538. C2×#417C23semidirect
539. C2×#417C23semidirect
540. C2×#417C23semidirect
541. C2×#419C23semidirect
542. C2×#418C23semidirect
543. C2×#418C23semidirect
544. C22×#103C23semidirect
545. C22×#103C23semidirect
546. C22×#103C23semidirect
547. C22×#103C23semidirect
548. C22×#103C23semidirect
553. C22×#102C23semidirect
554. C22×#102C23semidirect
555. C22×#102C23semidirect
556. C2×#407C23semidirect
557. C2×#407C23semidirect
560. C22×C22⋊C8C23semidirect
561. C22×C22⋊C8C23semidirect
562. C2×C4×M16C23semidirect
563. C22×#97C23semidirect
564. C22×C4×C8C23semidirect
636. C22×#41C24semidirect
637. C22×#41C24semidirect
638. C22×#41C24semidirect
639. C22×#41C24semidirect
658. C23×Q8C24semidirect
725. C23×D4C2×D4semidirect
736. C23×D4C24semidirect
737. C23×D4C24semidirect
789. C2×#137C24semidirect
790. C2×#137C24semidirect
791. C2×#137C24semidirect
792. C2×#137C24semidirect
802. C2×AGL(1,ℤ/8)C2×D4semidirect
805. C2×AGL(1,ℤ/8)C24semidirect
806. C2×AGL(1,ℤ/8)C24semidirect
807. C2×AGL(1,ℤ/8)C24semidirect
808. C2×AGL(1,ℤ/8)C24semidirect
809. C2×AGL(1,ℤ/8)C24semidirect
810. C2×AGL(1,ℤ/8)C24semidirect
811. C2×AGL(1,ℤ/8)C24semidirect
814. C2×#135C24semidirect
815. C2×#135C24semidirect
819. C22×Q16C24semidirect
820. C22×Q16C24semidirect
821. C22×Q16C24semidirect
831. C22×SD16C2×D4semidirect
838. C22×SD16C24semidirect
839. C22×SD16C24semidirect
840. C22×SD16C24semidirect
841. C22×SD16C24semidirect
848. C22×D8C2×D4semidirect
855. C22×D8C24semidirect
863. C22×M16C2×D4semidirect
869. C22×M16C24semidirect
870. C22×M16C24semidirect
871. C22×M16C24semidirect
879. C23×C8C24semidirect
881. #550C24semidirect
883. D4×Q8C24semidirect
886. #548C24semidirect
887. #548C24semidirect
890. #547C24semidirect
904. #546C24semidirect
905. #546C24semidirect
906. #546C24semidirect
907. #546C24semidirect
908. #546C24semidirect
911. D42C24semidirect
914. #532C24semidirect
917. C2×C4⋊Q8C24semidirect
920. C2×#127C24semidirect
932. C2×#124C24semidirect
933. C2×#124C24semidirect
934. C2×#124C24semidirect
940. #525C24semidirect
969. C2×C22⋊Q8C24semidirect
970. C2×C22⋊Q8C24semidirect
971. C2×C22⋊Q8C24semidirect
1000. C2×#121C24semidirect
1001. C2×#121C24semidirect
1002. C2×#121C24semidirect
1015. C4×#41C24semidirect
1018. C2×C4×Q8C24semidirect
1019. C2×C4×Q8C24semidirect
1056. C2×C4×D4C24semidirect
1057. C2×C4×D4C24semidirect
1058. C2×C4×D4C24semidirect
1142. #497C24semidirect
1143. #496C24semidirect
1144. #495C24semidirect
1145. #495C24semidirect
1146. #470C24semidirect
1147. #469C24semidirect
1148. #468C24semidirect
1149. #468C24semidirect
1150. #467C24semidirect
1151. #466C24semidirect
1152. #465C24semidirect
1153. #465C24semidirect
1154. #464C24semidirect
1155. #464C24semidirect
1156. #463C24semidirect
1157. #463C24semidirect
1158. #463C24semidirect
1159. #463C24semidirect
1160. #461C24semidirect
1161. #459C24semidirect
1162. #452C24semidirect
1163. #452C24semidirect
1164. #452C24semidirect
1165. #452C24semidirect
1166. #451C24semidirect
1167. #450C24semidirect
1168. #450C24semidirect
1169. #450C24semidirect
1170. #449C24semidirect
1171. #449C24semidirect
1172. #449C24semidirect
1173. #449C24semidirect
1174. #448C24semidirect
1175. #447C24semidirect
1176. #447C24semidirect
1177. #447C24semidirect
1178. #442C24semidirect
1179. #440C24semidirect
1180. C4×SD16C24semidirect
1181. C4×D8C24semidirect
1182. #436C24semidirect
1183. #435C24semidirect
1184. #435C24semidirect
1185. C8×D4C24semidirect
1186. #428C24semidirect
1187. C2×#107C24semidirect
1188. C2×#106C24semidirect
1189. #423C24semidirect
1190. C2×C4⋊C8C24semidirect
1191. C2×C4⋊C8C24semidirect
1192. #419C24semidirect
1193. #418C24semidirect
1194. #418C24semidirect
1195. #417C24semidirect
1196. #417C24semidirect
1197. #417C24semidirect
1198. C2×#103C24semidirect
1199. C2×#103C24semidirect
1200. C2×#103C24semidirect
1201. C2×#103C24semidirect
1202. C2×#103C24semidirect
1207. C2×#102C24semidirect
1208. C2×#102C24semidirect
1209. C2×#102C24semidirect
1210. #407C24semidirect
1211. #407C24semidirect
1214. C2×C22⋊C8C24semidirect
1215. C2×C22⋊C8C24semidirect
1216. C4×M16C24semidirect
1217. C2×#97C24semidirect
1218. C2×C4×C8C24semidirect
1330. C2×#41C25semidirect
1331. C2×#41C25semidirect
1368. C22×Q8C25semidirect
1482. C22×D4C22×D4semidirect
1493. C22×D4C25semidirect
1611. AGL(1,ℤ/8)C22×D4semidirect
1617. C2×Q16C25semidirect
1618. C2×Q16C25semidirect
1619. C2×Q16C25semidirect
1629. C2×SD16C22×D4semidirect
1636. C2×SD16C25semidirect
1637. C2×SD16C25semidirect
1638. C2×SD16C25semidirect
1645. C2×D8C22×D4semidirect
1659. C2×M16C22×D4semidirect
1665. C2×M16C25semidirect
1677. C22×C8C25semidirect
1680. C4⋊Q8C25semidirect
1683. #127C25semidirect
1694. #124C25semidirect
1695. #124C25semidirect
1722. C22⋊Q8C25semidirect
1723. C22⋊Q8C25semidirect
1750. #121C25semidirect
1751. #121C25semidirect
1764. C4×Q8C25semidirect
1765. C4×Q8C25semidirect
1798. C4×D4C25semidirect
1799. C4×D4C25semidirect
1887. #107C25semidirect
1888. #106C25semidirect
1889. C4⋊C8C25semidirect
1890. C4⋊C8C25semidirect
1891. #103C25semidirect
1892. #103C25semidirect
1893. #103C25semidirect
1894. #103C25semidirect
1895. #103C25semidirect
1900. #102C25semidirect
1901. #102C25semidirect
1902. #102C25semidirect
1905. C22⋊C8C25semidirect
1906. C22⋊C8C25semidirect
1907. #97C25semidirect
1908. C4×C8C25semidirect
1985. C24#575semidirect
2162. C2×D4C23×D4semidirect
2300. SD16C23×D4semidirect
2306. D8C23×D4semidirect
2312. M16C23×D4semidirect
2465. C23C2×#575semidirect
2657. C22#61066direct (N × H)
2661. C22C22×#575semidirect
2693. C2C2×#61066direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5752
C24×AGL(1,ℤ/8)2
C22×D4×#412
C23×#5462
C2×#610662
C22×#32732
C22×#32752
C22×#32682
C22×#32672
C22×#32662
C22×#32642
C22×#32822
C22×#32802
C22×#31532
C22×#30402
C22×#30362
C22×#30562
C22×#30552
C22×#30072
C22×#30062
C22×#30052
C22×#30032
C22×D4×M162
C22×C4×AGL(1,ℤ/8)2