Finite Group Databasebeta

← C2×#10580309 #72257403

Subgroups — C2×#10580309 #72257403

Order 1024.

75901 conjugacy classes of subgroups.

The subgroup lattice has 2761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#62781C211yesmaximal, characteristic, complemented
2C22×D4×#41C211yesmaximal, characteristic, complemented
3#10580309C2164yesmaximal, direct product factor
4C2×#62137C218yesmaximal, complemented
5C2×#61989C218yesmaximal, complemented
6C2×#61890C212yesmaximal, complemented
7C2×#61827C212yesmaximal, complemented
8C2×#61706C214yesmaximal, complemented
9C2×#61695C211yesmaximal, characteristic, complemented
10C2×#61694C211yesmaximal, characteristic, complemented
11C2×#61571C214yesmaximal, complemented
12C2×#61560C211yesmaximal, characteristic, complemented
13C2×#61559C211yesmaximal, characteristic, complemented
14C2×#61452C218yesmaximal, complemented
15C2×#61451C218yesmaximal, complemented
16C2×#60965C212yesmaximal, complemented
17C2×#60958C214yesmaximal, complemented
18C2×#60558C212yesmaximal, complemented
19C22×#3114C214yesmaximal, complemented
20C2×#60282C211yesmaximal, characteristic, complemented
21C24×#41—21no—
22#62781—216no—
23#62781C22132yescomplemented
24C2×#3521—24no—
25C2×#3515C2214yescomplemented
26C2×#3514C2214yescomplemented
27C2×#3507C2212yescomplemented
28C2×#3493—21no—
29C2×#3491—22no—
30C2×#3485—21no—
31C2×#3505C2214yescomplemented
32C2×#3501C2211yescharacteristic, complemented
33C2×#3496C2211yescharacteristic, complemented
34C2×#3482C2214yescomplemented
35C2×#3481C2214yescomplemented
36C2×#3475—24no—
37C2×D4×#41—24no—
38C2×D4×#41—216no—
39C2×D4×#41—24no—
40C2×D4×#41C2218yescomplemented
41C2×D4×#41C2218yescomplemented
42C2×D4×#41C22132yescomplemented
43C22×#550C2211yescharacteristic, complemented
44C22×#547C2211yescharacteristic
45C22×#547C2212yescomplemented
46C22×#548—21no—
47C22×#546—21no—
48C22×#546—22no—
49C22×D4×Q8C2211yescharacteristic, complemented
50C22×D42C2211yescharacteristic
51C22×D42C2212yescomplemented
52C2×#3461—21no—
53C2×#3459—22no—
54C2×#3444C2212yescomplemented
55C22×#532C2212yescomplemented
56C22×#532C2211yescharacteristic, complemented
57C22×#529C2214yescomplemented
58C22×#525—22no—
59C22×#525—21no—
60C2×C4×H(5,𝔽2)—21no—
61C22×C4×#41C2211yescharacteristic
62C23×C4×D4C2212yescomplemented
63C23×C4×D4C2211yescharacteristic, complemented
64#62137C221256yescomplemented
65#61989C221256yescomplemented
66#61890C22164yescomplemented
67#61827C22164yescomplemented
68#61706C221128yescomplemented
69#61695C22132yescomplemented
70#61694C22132yescomplemented
71#61571C221128yescomplemented
72#61560C22132yescomplemented
73#61559C22132yescomplemented
74#61452C221256yescomplemented
75#61451C221256yescomplemented
76C2×#3399C2218yescomplemented
77C2×#3397C2218yescomplemented
78C2×#3386C2218yescomplemented
79C2×#3384C2218yescomplemented
80C2×#3368C2218yescomplemented
81C2×#3373C2218yescomplemented
82C2×#3367C2218yescomplemented
83C2×#3366C2218yescomplemented
84C2×#3345C22116yescomplemented
85C2×#3343C22116yescomplemented
86C2×#3335C2218yescomplemented
87C2×#3334C2218yescomplemented
88C2×#3308C22116yescomplemented
89C2×#3318C22116yescomplemented
90C2×#3310C22116yescomplemented
91C2×#3306C22116yescomplemented
92C2×#3298C2218yescomplemented
93C2×#3295C2218yescomplemented
94C2×#3294C2218yescomplemented
95C2×#3294C2218yescomplemented
96C2×D4×SD16C2218yescomplemented
97C2×D4×D8C2218yescomplemented
98C2×#3265C22116yescomplemented
99C2×#3264C22116yescomplemented
100#60965C22164yescomplemented
101#60958C221128yescomplemented
102C2×#3251C2218yescomplemented
103C2×#3247C22116yescomplemented
104C2×#3238C2218yescomplemented
105C2×#3234C2218yescomplemented
106C2×#3228C2214yescomplemented
107C2×#3229C2212yescomplemented
108C2×#3226C2212yescomplemented
109C2×#3217C2218yescomplemented
110C2×#3213C2218yescomplemented
111C2×#3207C2214yescomplemented
112C2×#3208C2212yescomplemented
113C2×#3205C2212yescomplemented
114C2×#3194C2218yescomplemented
115C2×#3187C2214yescomplemented
116C2×#3187C2214yescomplemented
117C2×#3186C2214yescomplemented
118C2×#3186C2214yescomplemented
119C2×#3184C2214yescomplemented
120C2×#3182C2214yescomplemented
121C2×#3180C22116yescomplemented
122#60558C22164yescomplemented
123C2×#3112C2218yescomplemented
124C2×#3110C2214yescomplemented
125C2×#3109C2214yescomplemented
126C2×#3109C2218yescomplemented
127C2×#3115C2218yescomplemented
128C2×#3114C2218yescomplemented
129C2×#3114C2214yescomplemented
130C2×#3114C22116yescomplemented
131C2×#3114C22116yescomplemented
132C2×#3114C2218yescomplemented
133C2×#3114C2214yescomplemented
134C2×#3114C2218yescomplemented
135C2×#3114C221128yescomplemented
136C2×#3105C2218yescomplemented
137C2×#3101C2212yescomplemented
138C2×#3101C2212yescomplemented
139C2×#3100C2212yes—
140C2×#3100C2212yescomplemented
141C2×#3092C2214yescomplemented
142C22×#483C2214yescomplemented
143C22×#480C2214yescomplemented
144C2×#3077C2214yescomplemented
145C22×#478C2218yescomplemented
146C2×#3036C2214yescomplemented
147C22×#463C2218yescomplemented
148C2×#3003C2214yescomplemented
149C22×#450C2214yescomplemented
150C22×#447C2214yes—
151#60282C22132yescomplemented
152C2×#2990C2218yescomplemented
153C2×#2983C2212yescomplemented
154C2×#2973C2214yescomplemented
155C2×#2972C2211yescharacteristic, complemented
156C2×#2972C2211yescharacteristic, complemented
157C2×#2970C2218yescomplemented
158C2×C4×AGL(1,ℤ/8)C2218yescomplemented
159C22×#442C2218yescomplemented
160C22×#440C2218yescomplemented
161C2×#2920C2212yescomplemented
162C22×#432C2214yescomplemented
163C22×H(5,𝔽2)—21no—
164C23×#41—28no—
165C23×#41—28no—
166C23×#41—232no—
167C23×#41—21no—
168C23×#41—21no—
169C23×#41—22no—
170C23×#41—22no—
171C23×#41—21no—
172C23×#41—432no—
173C23×#41D411yescharacteristic
174C24×Q8—21no—
175C24×D4—21no—
176C24×D4—22no—
177C24×D4C2312yes—
178C24×D4C2311yescharacteristic
179C25×C4—22no—
180C25×C4—21no—
181C22×AGL(1,ℤ/8)C2318yes—
182C23×SD16C2318yes—
183C23×D8C2318yes—
184#3521—2128no—
185#3515—232no—
186#3515C23164yescomplemented
187#3514—232no—
188#3514C23164yescomplemented
189#3507—216no—
190#3507C23132yescomplemented
191#3505—232no—
192#3505C23164yescomplemented
193#3501—28no—
194#3501C23116yescomplemented
195#3496—28no—
196#3496C23116yescomplemented
197#3493—232no—
198#3491—264no—
199#3485—232no—
200#3482—232no—
201#3482C23164yescomplemented
202#3481—232no—
203#3481C23164yescomplemented
204C2×#559C2314yescomplemented
205C2×#557C2314yescomplemented
206#3475—2128no—
207C2×#556—24no—
208C2×#556—24no—
209C2×#556C2314yescomplemented
210C2×#555—24no—
211C2×#554—24no—
212C2×#554C2314yescomplemented
213C2×#554C2314yescomplemented
214C2×#553—28no—
215C2×#553—24no—
216C2×#553C2318yescomplemented
217C2×#552—24no—
218C2×#552—28no—
219C2×#552—28no—
220C2×#552—24no—
221C2×#552C2318yescomplemented
222C2×#551—28no—
223C2×#551—28no—
224C2×#551—28no—
225D4×#41—264no—
226D4×#41—264no—
227D4×#41—2128no—
228D4×#41—2128no—
229D4×#41C231128yescomplemented
230D4×#41C231128yescomplemented
231C2×#550—24no—
232C2×#550—28no—
233C2×#550C2318yes—
234C2×#550C23116yescomplemented
235C2×D4×Q8—24no—
236C2×D4×Q8—28no—
237C2×D4×Q8C2318yes—
238C2×D4×Q8C2314yescomplemented
239C2×D4×Q8C23116yescomplemented
240C2×#548—28no—
241C2×#548—28no—
242C2×#548—232no—
243C2×#548C2318yescomplemented
244C2×#547—24no—
245C2×#547—24no—
246C2×#547—24no—
247C2×#547—28no—
248C2×#547—28no—
249C2×#547—216no—
250C2×#547C2318yes—
251C2×#547C23116yes—
252C2×#547C23116yes—
253C2×#547C23132yescomplemented
254C2×#547C2314yescomplemented
255C2×#546—24no—
256C2×#546—24no—
257C2×#546—24no—
258C2×#546—28no—
259C2×#546—28no—
260C2×#546—216no—
261C2×#546—216no—
262C2×#546—232no—
263C2×#546—264no—
264C2×#546C2318yescomplemented
265C2×D42—24no—
266C2×D42—28no—
267C2×D42—28no—
268C2×D42—216no—
269C2×D42C23116yes—
270C2×D42C2318yes—
271C2×D42C23116yes—
272C2×D42C23132yescomplemented
273C2×D42C2314yescomplemented
274#3461—232no—
275#3459—264no—
276C2×#544—21no—
277C2×#543—22no—
278C2×#542—24no—
279C2×#541—24no—
280C2×#539—28no—
281C2×#539—24no—
282C2×#539—24no—
283C2×#538—28no—
284C2×#538—24no—
285C2×#537—21no—
286C2×#536—22no—
287C2×#534—24no—
288C2×#534—22no—
289#3444—216no—
290#3444C23132yescomplemented
291C2×#533—24no—
292C2×#533C2312yes—
293C2×#533C2312yescomplemented
294C2×#533C2312yescomplemented
295C2×#532—24no—
296C2×#532—22no—
297C2×#532—24no—
298C2×#532—22no—
299C2×#532—216no—
300C2×#532—28no—
301C2×#532C2318yes—
302C2×#532C2314yes—
303C2×#532C2312yes—
304C2×#532C2314yes—
305C2×#532C2318yes—
306C2×#532C2312yescomplemented
307C2×#532C23132yescomplemented
308C2×#532C23116yescomplemented
309C2×#532C2312yescomplemented
310C22×C4⋊Q8C2311yescharacteristic
311C22×C4⋊Q8C2312yes—
312C22×#127C2311yescharacteristic
313C22×#127C2312yes—
314C2×#529—22no—
315C2×#529—24no—
316C2×#529—24no—
317C2×#529—22no—
318C2×#529—22no—
319C2×#529—232no—
320C2×#529—24no—
321C2×#529—24no—
322C2×#529—22no—
323C2×#529—24no—
324C2×#529—28no—
325C2×#529C2318yes—
326C2×#529C2314yes—
327C2×#529C2318yescomplemented
328C2×#529C2314yescomplemented
329C2×#529C2318yescomplemented
330C2×#529C23164yescomplemented
331C22×#126—24no—
332C22×#125C2314yescomplemented
333C22×#124—21no—
334C22×#124—22no—
335C22×#124C2314yescomplemented
336C2×#525—22no—
337C2×#525—22no—
338C2×#525—28no—
339C2×#525—216no—
340C2×#525—216no—
341C2×#525—28no—
342C2×#525—28no—
343C2×#525—264no—
344C2×#525—232no—
345C2×#525C2314yes—
346C22×#123—24no—
347C22×#123—22no—
348C22×#123—22no—
349C22×#123—22no—
350C22×C22⋊Q8—21no—
351C22×C22⋊Q8—22no—
352C22×C22⋊Q8—21no—
353C22×C22⋊Q8—22no—
354C22×C22⋊Q8C2314yes—
355C22×#121—22no—
356C22×#121—21no—
357C22×#121—21no—
358C22×#121—22no—
359C22×#121—21no—
360C22×#121—22no—
361C22×#121C2314yes—
362C22×#121C2312yes—
363C22×#121C2312yes—
364C22×#121C2312yes—
365C22×#120—22no—
366C22×#120—22no—
367C22×#120—22no—
368C4×H(5,𝔽2)—232no—
369C2×#520—24no—
370C2×#520—22no—
371C2×#518—21no—
372C2×#518—24no—
373C2×#518—24no—
374C2×C4×#41—22no—
375C2×C4×#41—22no—
376C2×C4×#41—24no—
377C2×C4×#41D414yes—
378C2×C4×#41D4116yes—
379C2×C4×#41D414yes—
380C2×C4×#41C2314yes—
381C2×C4×#41C2314yes—
382C2×C4×#41C23116yes—
383C2×C4×#41C2314yescomplemented
384C22×C4×Q8D411yescharacteristic
385C22×C4×Q8C2311yescharacteristic
386C22×C4×Q8C2314yescomplemented
387C22×C4×D4—22no—
388C22×C4×D4—21no—
389C22×C4×D4—21no—
390C22×C4×D4—22no—
391C22×C4×D4—24no—
392C22×C4×D4—22no—
393C22×C4×D4—24no—
394C22×C4×D4—22no—
395C22×C4×D4—216no—
396C22×C4×D4—28no—
397C22×C4×D4—22no—
398C22×C4×D4—21no—
399C22×C4×D4—24no—
400C22×C4×D4—24no—
401C22×C4×D4D411yescharacteristic
402C22×C4×D4D412yes—
403C22×C4×D4C2318yes—
404C22×C4×D4C2314yes—
405C22×C4×D4C2311yescharacteristic
406C22×C4×D4C2311yescharacteristic
407C22×C4×D4C2311yescharacteristic
408C22×C4×D4C2311yescharacteristic
409C22×C4×D4C2312yes—
410C22×C4×D4C2312yes—
411C22×C4×D4C2312yes—
412C22×C4×D4C2318yes—
413C22×C4×D4C2314yes—
414C22×C4×D4C2311yescharacteristic
415C22×C4×D4C2312yes—
416C22×C4×D4C23132yescomplemented
417C22×C4×D4C23116yescomplemented
418C22×C4×D4C2314yescomplemented
419C22×#117—24no—
420C22×#117D412yes—
421C22×#117D411yescharacteristic
422C23×C4⋊C4C2312yes—
423C23×C4⋊C4C2311yescharacteristic
424C23×C22⋊C4—22no—
425C23×C22⋊C4—21no—
426C23×C42C2312yes—
427C23×C42C2311yescharacteristic
428#3399C231128yescomplemented
429#3397C231128yescomplemented
430#3386C231128yescomplemented
431#3384C231128yescomplemented
432#3373C231128yescomplemented
433#3368C231128yescomplemented
434#3367C231128yescomplemented
435#3366C231128yescomplemented
436#3345C231256yescomplemented
437#3343C231256yescomplemented
438#3335C231128yescomplemented
439#3334C231128yescomplemented
440#3318C231256yescomplemented
441#3310C231256yescomplemented
442#3308C231256yescomplemented
443#3306C231256yescomplemented
444#3298C231128yescomplemented
445#3295C231128yescomplemented
446#3294C231128yescomplemented
447#3294C231128yescomplemented
448D4×SD16C231128yescomplemented
449D4×D8C231128yescomplemented
450#3265C231256yescomplemented
451#3264C231256yescomplemented
452#3251C231128yescomplemented
453#3247C231256yescomplemented
454#3238C231128yescomplemented
455#3234C231128yescomplemented
456#3229C23132yescomplemented
457#3228C23164yescomplemented
458#3226C23132yescomplemented
459#3217C231128yescomplemented
460#3213C231128yescomplemented
461#3208C23132yescomplemented
462#3207C23164yescomplemented
463#3205C23132yescomplemented
464#3194C231128yescomplemented
465#3187C23164yescomplemented
466#3187C23164yescomplemented
467#3186C23164yescomplemented
468#3186C23164yescomplemented
469#3184C23164yescomplemented
470#3182C23164yescomplemented
471#3180C231256yescomplemented
472C2×#501C23116yescomplemented
473C2×#500C2314yescomplemented
474C2×#498C2314yescomplemented
475C2×#496C23116yescomplemented
476C2×#493C2314yescomplemented
477C2×#492C2314yescomplemented
478C2×#490C23116yescomplemented
479C2×#489C23116yescomplemented
480C2×#487C2314yescomplemented
481C2×#486C2314yescomplemented
482C2×#486C2314yescomplemented
483C2×#486C2314yescomplemented
484#3115C231128yescomplemented
485#3114C23164yescomplemented
486#3114C231128yescomplemented
487#3114C231128yescomplemented
488#3114C23164yescomplemented
489#3114C231128yescomplemented
490#3114C231256yescomplemented
491#3114C231256yescomplemented
492#3112C231128yescomplemented
493#3110C23164yescomplemented
494#3109C23164yescomplemented
495#3109C231128yescomplemented
496#3105C231128yescomplemented
497#3101C23132yescomplemented
498#3101C23132yescomplemented
499#3100C23132yes—
500#3100C23132yescomplemented
501#3092C23164yescomplemented
502C2×#484C2318yescomplemented
503C2×#481C2318yescomplemented
504C2×#481C2318yescomplemented
505C2×#481C2318yescomplemented
506C2×#482C23116yescomplemented
507C2×#483C2314yes—
508C2×#483C2318yes—
509C2×#483C2314yes—
510C2×#483C23116yescomplemented
511C2×#483C23164yescomplemented
512C2×#480C2314yes—
513C2×#480C2318yes—
514C2×#480C2314yes—
515C2×#480C2318yescomplemented
516C2×#480C23116yescomplemented
517C2×#480C2318yescomplemented
518C2×#480C23164yescomplemented
519#3077C23164yescomplemented
520C2×#477C23116yescomplemented
521C2×#475C2318yescomplemented
522C2×#478C2318yes—
523C2×#478C23116yes—
524C2×#478C23116yescomplemented
525C2×#478C23116yescomplemented
526C2×#478C2318yescomplemented
527C2×#478C231128yescomplemented
528C2×#476C2314yes—
529C2×#476C2314yescomplemented
530C2×#476C23116yescomplemented
531C2×#474C2314yes—
532C2×#474C2314yescomplemented
533C2×#474C2318yescomplemented
534C2×#469C23116yescomplemented
535C2×#468C23116yescomplemented
536C2×#466C23116yescomplemented
537C2×#466C23116yescomplemented
538C2×#465C23116yescomplemented
539C2×#465C23116yescomplemented
540#3036C23164yescomplemented
541C2×#460C23116yescomplemented
542C2×#460C2318yescomplemented
543C2×#463C23116yes—
544C2×#463C2318yes—
545C2×#463C23116yescomplemented
546C2×#463C2318yescomplemented
547C2×#463C23116yescomplemented
548C2×#463C231128yescomplemented
549C2×#461C2314yes—
550C2×#461C2314yescomplemented
551C2×#459C2314yes—
552C2×#459C23116yescomplemented
553C2×#459C2318yescomplemented
554C2×#459C2314yescomplemented
555#3003C23164yescomplemented
556C2×#449C23116yescomplemented
557C2×#448C2318yescomplemented
558C2×#448C2318yescomplemented
559C2×#450C2314yes—
560C2×#450C2318yes—
561C2×#450C23116yes—
562C2×#450C2318yes—
563C2×#450C2314yes—
564C2×#450C23164yescomplemented
565C2×#447C2314yes—
566C2×#447C2318yes—
567C2×#447C2318yes—
568C2×#447C23116yes—
569C2×#447C2314yes—
570C2×#447C23164yes—
571C2×#447C2318yescomplemented
572C2×#447C2318yescomplemented
573#2990C231128yescomplemented
574#2983C23132yescomplemented
575#2973C23164yescomplemented
576#2972C23116yescomplemented
577#2972C23116yescomplemented
578#2970C231128yescomplemented
579C2×#446C2318yescomplemented
580C2×#446C2318yescomplemented
581C4×AGL(1,ℤ/8)C231128yescomplemented
582C2×#442C23116yes—
583C2×#442C2318yes—
584C2×#442C2318yescomplemented
585C2×#442C23116yescomplemented
586C2×#442C23116yescomplemented
587C2×#442C231128yescomplemented
588C2×#440C23116yes—
589C2×#440C2318yes—
590C2×#440C2318yescomplemented
591C2×#440C23116yescomplemented
592C2×#440C23116yescomplemented
593C2×#440C231128yescomplemented
594C2×C4×SD16C2318yes—
595C2×C4×SD16C2318yescomplemented
596C2×C4×D8C2318yes—
597C2×C4×D8C2318yescomplemented
598C2×#435C23116yescomplemented
599C2×#435C23116yescomplemented
600C2×C8×D4C2318yescomplemented
601C2×C8×D4C2318yescomplemented
602#2920C23132yescomplemented
603C2×#432C2318yes—
604C2×#432C2314yes—
605C2×#432C2318yescomplemented
606C2×#432C2314yescomplemented
607C2×#432C2318yescomplemented
608C2×#432C23164yescomplemented
609C2×#431C2312yes—
610C2×#431C2312yes—
611C2×#431C2314yescomplemented
612C2×#428C2318yescomplemented
613C22×#107C2318yescomplemented
614C22×#106C2318yescomplemented
615C2×#423C2314yescomplemented
616C22×C4⋊C8C2318yescomplemented
617C2×#417C2318yescomplemented
618C2×#418C2318yes—
619C22×#103C2318yescomplemented
620C22×#102C2318yes—
621C22×#102C2318yes—
622C22×#102C2318yescomplemented
623C2×#407C2314yes—
624C22×C22⋊C8C2314yes—
625C22×C22⋊C8C2314yes—
626C2×C4×M16C2314yescomplemented
627C22×#97C2318yescomplemented
628C26—21no—
629C26—22no—
630C2×H(5,𝔽2)—216no—
631C2×H(5,𝔽2)—416no—
632C22×#41—2128no—
633C22×#41—2128no—
634C22×#41—28no—
635C22×#41—216no—
636C22×#41—216no—
637C22×#41—216no—
638C22×#41—28no—
639C22×#41—216no—
640C22×#41—232no—
641C22×#41—24no—
642C22×#41—28no—
643C22×#41—28no—
644C22×#41—24no—
645C22×#41—24no—
646C22×#41—232no—
647C22×#41—216no—
648C22×#41—22no—
649C22×#41—22no—
650C22×#41—432no—
651C22×#41—416no—
652C22×#41—432no—
653C22×#41—416no—
654C22×#41—4128no—
655C22×#41—4128no—
656C22×#41—4512no—
657C22×#41—416no—
658C22×#41C2×D414yes—
659C22×#41C2×D414yes—
660C22×#41C2×D4116yes—
661C22×#41C2414yes—
662C23×Q8—28no—
663C23×Q8—216no—
664C23×Q8—22no—
665C23×Q8—21no—
666C23×Q8—416no—
667C23×Q8C2×D411yescharacteristic
668C23×Q8C2414yes—
669C23×D4—22no—
670C23×D4—22no—
671C23×D4—22no—
672C23×D4—24no—
673C23×D4—216no—
674C23×D4—28no—
675C23×D4—216no—
676C23×D4—232no—
677C23×D4—24no—
678C23×D4—22no—
679C23×D4—21no—
680C23×D4—21no—
681C23×D4—22no—
682C23×D4—24no—
683C23×D4—22no—
684C23×D4—28no—
685C23×D4—24no—
686C23×D4—22no—
687C23×D4—21no—
688C23×D4—416no—
689C23×D4—48no—
690C23×D4—432no—
691C23×D4—416no—
692C23×D4C2×D412yes—
693C23×D4C2×D411yescharacteristic
694C23×D4C2411yescharacteristic
695C23×D4C2418yes—
696C23×D4C2414yes—
697C23×D4C2412yes—
698C23×D4C2411yescharacteristic
699C23×D4C24116yes—
700C23×D4C2418yes—
701C23×D4C2414yes—
702C24×C4—21no—
703C24×C4—22no—
704C24×C4—21no—
705C24×C4—22no—
706C24×C4—21no—
707C24×C4—22no—
708C24×C4—21no—
709C24×C4—22no—
710C24×C4—21no—
711C24×C4—28no—
712C24×C4—28no—
713C24×C4—24no—
714C24×C4—24no—
715C24×C4—232no—
716C24×C4—216no—
717C24×C4—24no—
718C24×C4—432no—
719C24×C4—416no—
720C24×C4C2×D412yes—
721C24×C4C2×D411yescharacteristic
722C24×C4C2×D412yes—
723C24×C4C2×D411yescharacteristic
724C24×C4C2412yes—
725C24×C4C2411yescharacteristic
726C2×AGL(1,ℤ/8)—432no—
727C2×AGL(1,ℤ/8)C24164yes—
728C22×SD16—432no—
729C22×SD16C2418yes—
730C22×SD16C24116yes—
731C22×SD16C2418yes—
732C22×SD16C24164yes—
733C22×D8—432no—
734C22×D8C2418yes—
735C22×D8C24116yes—
736C22×D8C2418yes—
737C22×D8C24164yes—
738C22×M16C2418yes—
739C23×C8C2418yes—
740C23×C8C2418yes—
741#559—216no—
742#559C24132yescomplemented
743#557—216no—
744#557C24132yescomplemented
745#556—264no—
746#556—216no—
747#556—264no—
748#556C24132yescomplemented
749#555—264no—
750#554—216no—
751#554—264no—
752#554—216no—
753#554C24132yescomplemented
754#554C24132yescomplemented
755#553—2128no—
756#553—232no—
757#553—264no—
758#553C24164yescomplemented
759#552—264no—
760#552—232no—
761#552—2128no—
762#552—264no—
763#552—2128no—
764#552C24164yescomplemented
765#551—2128no—
766#551—2128no—
767#551—2128no—
768#550—232no—
769#550—264no—
770#550C24164yes—
771D4×Q8—232no—
772D4×Q8—264no—
773D4×Q8—216no—
774D4×Q8C24164yes—
775D4×Q8C24132yescomplemented
776#548—2128no—
777#548—2128no—
778#548—232no—
779#548C24164yescomplemented
780#547—264no—
781#547—264no—
782#547—232no—
783#547—264no—
784#547—264no—
785#547—2128no—
786#547—216no—
787#547C24164yes—
788#547C241128yes—
789#547C24132yescomplemented
790#546—264no—
791#546—264no—
792#546—2128no—
793#546—2128no—
794#546—2256no—
795#546—2256no—
796#546—264no—
797#546—232no—
798#546C24164yescomplemented
799D42—232no—
800D42—264no—
801D42—264no—
802D42—2128no—
803D42—216no—
804D42C24164yes—
805D42C241128yes—
806D42C24132yescomplemented
807#544—216no—
808#543—232no—
809#542—264no—
810#541—264no—
811#539—2128no—
812#539—264no—
813#539—264no—
814#538—2128no—
815#538—264no—
816#537—216no—
817#536—232no—
818#534—264no—
819#534—232no—
820#533—264no—
821#533—28no—
822#533—28no—
823#533—28no—
824#533C24116yes—
825#533C24116yescomplemented
826#533C24116yescomplemented
827#532—232no—
828#532—216no—
829#532—232no—
830#532—216no—
831#532—264no—
832#532—232no—
833#532—264no—
834#532—232no—
835#532—28no—
836#532—28no—
837#532—28no—
838#532C24116yes—
839#532C24164yes—
840#532C24132yes—
841#532C24132yes—
842#532C24164yes—
843#532C24116yescomplemented
844#532C24116yescomplemented
845C2×C4⋊Q8—24no—
846C2×C4⋊Q8—24no—
847C2×C4⋊Q8—24no—
848C2×C4⋊Q8—22no—
849C2×C4⋊Q8—28no—
850C2×C4⋊Q8—24no—
851C2×C4⋊Q8C2412yes—
852C2×C4⋊Q8C2414yes—
853C2×C4⋊Q8C2418yes—
854C2×C4⋊Q8C2412yes—
855C2×C4⋊Q8C2412yes—
856C2×C4⋊Q8C2418yes—
857C2×C4⋊Q8C24116yes—
858C2×#127—24no—
859C2×#127—22no—
860C2×#127—28no—
861C2×#127—24no—
862C2×#127C2414yes—
863C2×#127C2412yes—
864C2×#127C2418yes—
865C2×#127C2418yes—
866C2×#127C24116yes—
867#529—264no—
868#529—2128no—
869#529—216no—
870#529—232no—
871#529—264no—
872#529—264no—
873#529—232no—
874#529—264no—
875#529—232no—
876#529—264no—
877#529—232no—
878#529—232no—
879#529—232no—
880#529—232no—
881#529—216no—
882#529C24132yes—
883#529C24164yes—
884#529C24132yescomplemented
885#529C24164yescomplemented
886#529C24164yescomplemented
887C2×#126—28no—
888C2×#126—28no—
889C2×#126—28no—
890C2×#126—24no—
891C2×#126—28no—
892C2×#126—28no—
893C2×#126—28no—
894C2×#126—264no—
895C2×#126—24no—
896C2×#125—28no—
897C2×#125—24no—
898C2×#125—28no—
899C2×#125—24no—
900C2×#125—24no—
901C2×#125—216no—
902C2×#125—22no—
903C2×#125—22no—
904C2×#125C2414yes—
905C2×#125C2418yes—
906C2×#125C24132yescomplemented
907C2×#124—24no—
908C2×#124—28no—
909C2×#124—28no—
910C2×#124—24no—
911C2×#124—24no—
912C2×#124—28no—
913C2×#124—216no—
914C2×#124—232no—
915C2×#124—24no—
916C2×#124—24no—
917C2×#124—216no—
918C2×#124—22no—
919C2×#124—22no—
920C2×#124C2418yes—
921C2×#124C2414yes—
922C2×#124C24132yescomplemented
923#525—232no—
924#525—232no—
925#525—216no—
926#525—2128no—
927#525—2256no—
928#525—2256no—
929#525—2128no—
930#525—2128no—
931#525C24132yes—
932C2×#123—28no—
933C2×#123—24no—
934C2×#123—28no—
935C2×#123—28no—
936C2×#123—28no—
937C2×#123—264no—
938C2×#123—24no—
939C2×#123—24no—
940C2×#123—28no—
941C2×#123—28no—
942C2×#123—216no—
943C2×#123—216no—
944C2×#123—216no—
945C2×#123—232no—
946C2×#123—232no—
947C2×#123—232no—
948C2×#123—28no—
949C2×#123—28no—
950C2×C22⋊Q8—24no—
951C2×C22⋊Q8—24no—
952C2×C22⋊Q8—24no—
953C2×C22⋊Q8—24no—
954C2×C22⋊Q8—216no—
955C2×C22⋊Q8—22no—
956C2×C22⋊Q8—22no—
957C2×C22⋊Q8—22no—
958C2×C22⋊Q8—22no—
959C2×C22⋊Q8—28no—
960C2×C22⋊Q8—216no—
961C2×C22⋊Q8—216no—
962C2×C22⋊Q8—232no—
963C2×C22⋊Q8—28no—
964C2×C22⋊Q8—216no—
965C2×C22⋊Q8—216no—
966C2×C22⋊Q8—232no—
967C2×C22⋊Q8—28no—
968C2×C22⋊Q8—24no—
969C2×C22⋊Q8—28no—
970C2×C22⋊Q8—28no—
971C2×C22⋊Q8—28no—
972C2×C22⋊Q8C2414yes—
973C2×C22⋊Q8C24132yes—
974C2×C22⋊Q8C2418yes—
975C2×C22⋊Q8C2414yes—
976C2×#121—28no—
977C2×#121—28no—
978C2×#121—28no—
979C2×#121—24no—
980C2×#121—28no—
981C2×#121—24no—
982C2×#121—232no—
983C2×#121—216no—
984C2×#121—24no—
985C2×#121—24no—
986C2×#121—216no—
987C2×#121—24no—
988C2×#121—24no—
989C2×#121—24no—
990C2×#121—28no—
991C2×#121—28no—
992C2×#121—28no—
993C2×#121—22no—
994C2×#121—22no—
995C2×#121—22no—
996C2×#121—22no—
997C2×#121—28no—
998C2×#121—216no—
999C2×#121—216no—
1000C2×#121—232no—
1001C2×#121—28no—
1002C2×#121—216no—
1003C2×#121—216no—
1004C2×#121—232no—
1005C2×#121—24no—
1006C2×#121—28no—
1007C2×#121C2414yes—
1008C2×#121C24132yes—
1009C2×#121C2418yes—
1010C2×#121C2418yes—
1011C2×#121C2418yes—
1012C2×#121C2418yes—
1013C2×#121C2414yes—
1014C2×#121C24116yes—
1015C2×#121C24116yes—
1016C2×#121C24116yes—
1017C2×#120—24no—
1018C2×#120—28no—
1019C2×#120—216no—
1020C2×#120—216no—
1021C2×#120—216no—
1022C2×#120—232no—
1023C2×#120—232no—
1024C2×#120—232no—
1025C2×#120—28no—
1026#520—264no—
1027#520—232no—
1028#518—216no—
1029#518—264no—
1030#518—264no—
1031C4×#41—264no—
1032C4×#41—232no—
1033C4×#41—232no—
1034C4×#41—216no—
1035C4×#41C2×D4164yes—
1036C4×#41C2×D4132yes—
1037C4×#41C2×D4132yes—
1038C4×#41C2×D4164yes—
1039C4×#41C24132yes—
1040C4×#41C24132yes—
1041C4×#41C24132yescomplemented
1042C2×C4×Q8—24no—
1043C2×C4×Q8—24no—
1044C2×C4×Q8—24no—
1045C2×C4×Q8—216no—
1046C2×C4×Q8—22no—
1047C2×C4×Q8—22no—
1048C2×C4×Q8—22no—
1049C2×C4×Q8—22no—
1050C2×C4×Q8C2×D414yes—
1051C2×C4×Q8C2×D414yes—
1052C2×C4×Q8C2×D4116yes—
1053C2×C4×Q8C2×D414yes—
1054C2×C4×Q8C2×D418yes—
1055C2×C4×Q8C2414yes—
1056C2×C4×Q8C2418yes—
1057C2×C4×Q8C2414yes—
1058C2×C4×Q8C2414yes—
1059C2×C4×Q8C2418yes—
1060C2×C4×Q8C24132yescomplemented
1061C2×C4×D4—24no—
1062C2×C4×D4—24no—
1063C2×C4×D4—24no—
1064C2×C4×D4—28no—
1065C2×C4×D4—28no—
1066C2×C4×D4—28no—
1067C2×C4×D4—264no—
1068C2×C4×D4—24no—
1069C2×C4×D4—24no—
1070C2×C4×D4—24no—
1071C2×C4×D4—24no—
1072C2×C4×D4—24no—
1073C2×C4×D4—264no—
1074C2×C4×D4—24no—
1075C2×C4×D4—28no—
1076C2×C4×D4—28no—
1077C2×C4×D4—21no—
1078C2×C4×D4—21no—
1079C2×C4×D4—24no—
1080C2×C4×D4—28no—
1081C2×C4×D4—24no—
1082C2×C4×D4—24no—
1083C2×C4×D4—28no—
1084C2×C4×D4—22no—
1085C2×C4×D4—21no—
1086C2×C4×D4—22no—
1087C2×C4×D4—21no—
1088C2×C4×D4—28no—
1089C2×C4×D4—24no—
1090C2×C4×D4—24no—
1091C2×C4×D4—22no—
1092C2×C4×D4—28no—
1093C2×C4×D4—24no—
1094C2×C4×D4—24no—
1095C2×C4×D4—28no—
1096C2×C4×D4—24no—
1097C2×C4×D4—28no—
1098C2×C4×D4—24no—
1099C2×C4×D4—22no—
1100C2×C4×D4—28no—
1101C2×C4×D4—24no—
1102C2×C4×D4—232no—
1103C2×C4×D4—216no—
1104C2×C4×D4—232no—
1105C2×C4×D4—216no—
1106C2×C4×D4—232no—
1107C2×C4×D4—216no—
1108C2×C4×D4—216no—
1109C2×C4×D4—232no—
1110C2×C4×D4—264no—
1111C2×C4×D4—232no—
1112C2×C4×D4—264no—
1113C2×C4×D4—232no—
1114C2×C4×D4—22no—
1115C2×C4×D4—24no—
1116C2×C4×D4—28no—
1117C2×C4×D4—28no—
1118C2×C4×D4—24no—
1119C2×C4×D4—232no—
1120C2×C4×D4—216no—
1121C2×C4×D4—24no—
1122C2×C4×D4—24no—
1123C2×C4×D4—216no—
1124C2×C4×D4—22no—
1125C2×C4×D4—22no—
1126C2×C4×D4—22no—
1127C2×C4×D4C2×D414yes—
1128C2×C4×D4C2×D414yes—
1129C2×C4×D4C2×D4116yes—
1130C2×C4×D4C2×D418yes—
1131C2×C4×D4C2×D418yes—
1132C2×C4×D4C2×D4132yes—
1133C2×C4×D4C2×D414yes—
1134C2×C4×D4C2×D418yes—
1135C2×C4×D4C2×D418yes—
1136C2×C4×D4C2×D4116yes—
1137C2×C4×D4C2412yes—
1138C2×C4×D4C2418yes—
1139C2×C4×D4C2414yes—
1140C2×C4×D4C2412yes—
1141C2×C4×D4C24164yes—
1142C2×C4×D4C2418yes—
1143C2×C4×D4C24132yes—
1144C2×C4×D4C2418yes—
1145C2×C4×D4C2418yes—
1146C2×C4×D4C24132yes—
1147C2×C4×D4C2418yes—
1148C2×C4×D4C2418yes—
1149C2×C4×D4C24116yes—
1150C2×C4×D4C24116yes—
1151C2×C4×D4C24116yes—
1152C2×C4×D4C24164yes—
1153C2×C4×D4C2412yes—
1154C2×C4×D4C2414yes—
1155C2×C4×D4C2412yes—
1156C2×C4×D4C2414yes—
1157C2×C4×D4C2414yes—
1158C2×C4×D4C2414yes—
1159C2×C4×D4C2418yes—
1160C2×C4×D4C2414yes—
1161C2×C4×D4C2414yes—
1162C2×C4×D4C2418yes—
1163C2×C4×D4C2418yes—
1164C2×C4×D4C24116yes—
1165C2×C4×D4C24132yescomplemented
1166C2×#117—22no—
1167C2×#117—22no—
1168C2×#117—24no—
1169C2×#117—28no—
1170C2×#117—24no—
1171C2×#117—28no—
1172C2×#117—28no—
1173C2×#117—28no—
1174C2×#117—264no—
1175C2×#117—24no—
1176C2×#117—24no—
1177C2×#117C2×D418yes—
1178C2×#117C2×D418yes—
1179C2×#117C2×D414yes—
1180C2×#117C2×D414yes—
1181C2×#117C2×D4132yes—
1182C2×#117C2×D4116yes—
1183C2×#117C2414yes—
1184C22×C4⋊C4—21no—
1185C22×C4⋊C4—22no—
1186C22×C4⋊C4—24no—
1187C22×C4⋊C4—22no—
1188C22×C4⋊C4—28no—
1189C22×C4⋊C4—24no—
1190C22×C4⋊C4—24no—
1191C22×C4⋊C4—24no—
1192C22×C4⋊C4—24no—
1193C22×C4⋊C4—22no—
1194C22×C4⋊C4—21no—
1195C22×C4⋊C4—24no—
1196C22×C4⋊C4—24no—
1197C22×C4⋊C4C2×D411yescharacteristic
1198C22×C4⋊C4C2×D412yes—
1199C22×C4⋊C4C2×D411yescharacteristic
1200C22×C4⋊C4C2×D412yes—
1201C22×C4⋊C4C2411yescharacteristic
1202C22×C4⋊C4C2411yescharacteristic
1203C22×C4⋊C4C2412yes—
1204C22×C4⋊C4C24116yes—
1205C22×C4⋊C4C2414yes—
1206C22×C4⋊C4C2418yes—
1207C22×C4⋊C4C2414yes—
1208C22×C4⋊C4C2414yes—
1209C22×C4⋊C4C2418yes—
1210C22×C22⋊C4—24no—
1211C22×C22⋊C4—21no—
1212C22×C22⋊C4—22no—
1213C22×C22⋊C4—21no—
1214C22×C22⋊C4—22no—
1215C22×C22⋊C4—21no—
1216C22×C22⋊C4—22no—
1217C22×C22⋊C4—21no—
1218C22×C22⋊C4—28no—
1219C22×C22⋊C4—24no—
1220C22×C22⋊C4—28no—
1221C22×C22⋊C4—24no—
1222C22×C22⋊C4—232no—
1223C22×C22⋊C4—216no—
1224C22×C22⋊C4—24no—
1225C22×C22⋊C4—24no—
1226C22×C22⋊C4—24no—
1227C22×C22⋊C4—22no—
1228C22×C22⋊C4—22no—
1229C22×C22⋊C4—22no—
1230C22×C22⋊C4—24no—
1231C22×C22⋊C4—28no—
1232C22×C22⋊C4C2×D412yes—
1233C22×C22⋊C4C2×D412yes—
1234C22×C22⋊C4C2×D412yes—
1235C22×C42—24no—
1236C22×C42—24no—
1237C22×C42C2×D414yes—
1238C22×C42C2×D412yes—
1239C22×C42C2×D411yescharacteristic
1240C22×C42C2×D411yescharacteristic
1241C22×C42C2×D412yes—
1242C22×C42C2×D412yes—
1243C22×C42C2×D414yes—
1244C22×C42C2×D412yes—
1245C22×C42C2×D4116yes—
1246C22×C42C2×D418yes—
1247C22×C42C2414yes—
1248C22×C42C2412yes—
1249C22×C42C2414yes—
1250C22×C42C2412yes—
1251C22×C42C2411yescharacteristic
1252C22×C42C2411yescharacteristic
1253C22×C42C2412yes—
1254C22×C42C24116yes—
1255C22×C42C2418yes—
1256#501C241128yescomplemented
1257#500C24132yescomplemented
1258#498C24132yescomplemented
1259#496C241128yescomplemented
1260#493C24132yescomplemented
1261#492C24132yescomplemented
1262#490C241128yescomplemented
1263#489C241128yescomplemented
1264#487C24132yescomplemented
1265#486C24132yescomplemented
1266#486C24132yescomplemented
1267#486C24132yescomplemented
1268#484C24164yescomplemented
1269#483C24132yes—
1270#483C24164yes—
1271#483C24132yes—
1272#483C241128yescomplemented
1273#482C241128yescomplemented
1274#481C24164yescomplemented
1275#481C24164yescomplemented
1276#481C24164yescomplemented
1277#480C24132yes—
1278#480C24164yes—
1279#480C24132yes—
1280#480C24164yescomplemented
1281#480C241128yescomplemented
1282#480C24164yescomplemented
1283#478C24164yes—
1284#478C241128yes—
1285#478C241128yescomplemented
1286#478C241128yescomplemented
1287#478C24164yescomplemented
1288#477C241128yescomplemented
1289#476C24132yes—
1290#476C24132yescomplemented
1291#476C241128yescomplemented
1292#475C24164yescomplemented
1293#474C24132yes—
1294#474C24132yescomplemented
1295#474C24164yescomplemented
1296#469C241128yescomplemented
1297#468C241128yescomplemented
1298#466C241128yescomplemented
1299#466C241128yescomplemented
1300#465C241128yescomplemented
1301#465C241128yescomplemented
1302#463C24164yes—
1303#463C241128yes—
1304#463C24164yescomplemented
1305#463C241128yescomplemented
1306#463C241128yescomplemented
1307#461C24132yes—
1308#461C24132yescomplemented
1309#460C241128yescomplemented
1310#460C24164yescomplemented
1311#459C24132yes—
1312#459C24132yescomplemented
1313#459C241128yescomplemented
1314#459C24164yescomplemented
1315#450C24132yes—
1316#450C24132yes—
1317#450C24164yes—
1318#450C24164yes—
1319#450C241128yes—
1320#449C241128yescomplemented
1321#448C24164yescomplemented
1322#448C24164yescomplemented
1323#447C24132yes—
1324#447C24132yes—
1325#447C24164yes—
1326#447C24164yes—
1327#447C241128yes—
1328#447C24164yescomplemented
1329#447C24164yescomplemented
1330#446C24164yescomplemented
1331#446C24164yescomplemented
1332#442C24164yes—
1333#442C241128yes—
1334#442C241128yescomplemented
1335#442C24164yescomplemented
1336#442C241128yescomplemented
1337#440C24164yes—
1338#440C241128yes—
1339#440C241128yescomplemented
1340#440C24164yescomplemented
1341#440C241128yescomplemented
1342C4×SD16C24164yes—
1343C4×SD16C24164yescomplemented
1344C4×D8C24164yes—
1345C4×D8C24164yescomplemented
1346#435C241128yescomplemented
1347#435C241128yescomplemented
1348C8×D4C24164yescomplemented
1349C8×D4C24164yescomplemented
1350#432C24132yes—
1351#432C24164yes—
1352#432C24132yescomplemented
1353#432C24164yescomplemented
1354#432C24164yescomplemented
1355#431C24116yes—
1356#431C24116yes—
1357#431C24132yescomplemented
1358#428C24164yescomplemented
1359C2×#107C2418yes—
1360C2×#107C24116yes—
1361C2×#107C2418yes—
1362C2×#107C24164yescomplemented
1363C2×#106C2418yes—
1364C2×#106C24116yes—
1365C2×#106C2418yes—
1366C2×#106C24164yescomplemented
1367#423C24132yescomplemented
1368C2×C4⋊C8C2418yes—
1369C2×C4⋊C8C24116yes—
1370C2×C4⋊C8C2414yes—
1371C2×C4⋊C8C2414yes—
1372C2×C4⋊C8C24164yescomplemented
1373#418C24164yes—
1374#417C24164yescomplemented
1375C2×#103C24116yes—
1376C2×#103C2418yes—
1377C2×#103C2418yes—
1378C2×#103C24164yescomplemented
1379C2×#102C2418yes—
1380C2×#102C2418yes—
1381C2×#102C24116yes—
1382C2×#102C24116yes—
1383C2×#102C24164yes—
1384C2×#102C24164yes—
1385C2×#102C2418yes—
1386C2×#102C2418yes—
1387C2×#102C2418yes—
1388C2×#102C24116yes—
1389C2×#102C2418yes—
1390C2×#102C24164yescomplemented
1391#407C24132yes—
1392C2×C22⋊C8C2414yes—
1393C2×C22⋊C8C2414yes—
1394C2×C22⋊C8C2418yes—
1395C2×C22⋊C8C24132yes—
1396C2×C22⋊C8C2418yes—
1397C2×C22⋊C8C24132yes—
1398C2×C22⋊C8C2418yes—
1399C4×M16C24132yescomplemented
1400C2×#97C2418yes—
1401C2×#97C24116yes—
1402C2×#97C24164yescomplemented
1403C2×C4×C8C2414yes—
1404C2×C4×C8C2414yes—
1405C25—21no—
1406C25—22no—
1407C25—21no—
1408C25—28no—
1409C25—216no—
1410C25—24no—
1411C25—28no—
1412C25—24no—
1413C25—48no—
1414C25—416no—
1415C25—48no—
1416C25—416no—
1417C25—88no—
1418C25—84no—
1419C25C22×D411yescharacteristic
1420C25C22×D412yes—
1421H(5,𝔽2)—4128no—
1422C2×#41—264no—
1423C2×#41—232no—
1424C2×#41—232no—
1425C2×#41—2128no—
1426C2×#41—232no—
1427C2×#41—2128no—
1428C2×#41—264no—
1429C2×#41—216no—
1430C2×#41—264no—
1431C2×#41—264no—
1432C2×#41—232no—
1433C2×#41—232no—
1434C2×#41—216no—
1435C2×#41—28no—
1436C2×#41—464no—
1437C2×#41—464no—
1438C2×#41—4256no—
1439C2×#41—432no—
1440C2×#41—432no—
1441C2×#41—4128no—
1442C2×#41—416no—
1443C2×#41—4128no—
1444C2×#41—4256no—
1445C2×#41—464no—
1446C2×#41—4128no—
1447C2×#41—41024no—
1448C2×#41—41024no—
1449C2×#41—464no—
1450C2×#41—432no—
1451C2×#41—4128no—
1452C2×#41—416no—
1453C2×#41—88no—
1454C2×#41C22×D4132yes—
1455C2×#41C22×D4132yes—
1456C2×#41C25116yes—
1457C22×Q8—264no—
1458C22×Q8—28no—
1459C22×Q8—22no—
1460C22×Q8—216no—
1461C22×Q8—28no—
1462C22×Q8—28no—
1463C22×Q8—24no—
1464C22×Q8—22no—
1465C22×Q8—24no—
1466C22×Q8—28no—
1467C22×Q8—416no—
1468C22×Q8—416no—
1469C22×Q8—464no—
1470C22×Q8—4128no—
1471C22×Q8—48no—
1472C22×Q8C22×D414yes—
1473C22×Q8C22×D418yes—
1474C22×Q8C2514yes—
1475C22×Q8C25116yes—
1476C22×D4—216no—
1477C22×D4—28no—
1478C22×D4—232no—
1479C22×D4—216no—
1480C22×D4—24no—
1481C22×D4—28no—
1482C22×D4—232no—
1483C22×D4—216no—
1484C22×D4—216no—
1485C22×D4—216no—
1486C22×D4—28no—
1487C22×D4—28no—
1488C22×D4—28no—
1489C22×D4—24no—
1490C22×D4—24no—
1491C22×D4—232no—
1492C22×D4—2128no—
1493C22×D4—264no—
1494C22×D4—22no—
1495C22×D4—21no—
1496C22×D4—24no—
1497C22×D4—28no—
1498C22×D4—28no—
1499C22×D4—216no—
1500C22×D4—22no—
1501C22×D4—24no—
1502C22×D4—22no—
1503C22×D4—22no—
1504C22×D4—21no—
1505C22×D4—216no—
1506C22×D4—28no—
1507C22×D4—232no—
1508C22×D4—216no—
1509C22×D4—216no—
1510C22×D4—28no—
1511C22×D4—28no—
1512C22×D4—24no—
1513C22×D4—28no—
1514C22×D4—24no—
1515C22×D4—216no—
1516C22×D4—28no—
1517C22×D4—22no—
1518C22×D4—24no—
1519C22×D4—28no—
1520C22×D4—416no—
1521C22×D4—48no—
1522C22×D4—48no—
1523C22×D4—44no—
1524C22×D4—416no—
1525C22×D4—416no—
1526C22×D4—464no—
1527C22×D4—432no—
1528C22×D4—464no—
1529C22×D4—432no—
1530C22×D4—416no—
1531C22×D4—432no—
1532C22×D4—4128no—
1533C22×D4—4256no—
1534C22×D4—48no—
1535C22×D4—416no—
1536C22×D4—416no—
1537C22×D4—416no—
1538C22×D4—416no—
1539C22×D4—432no—
1540C22×D4—464no—
1541C22×D4—432no—
1542C22×D4—4128no—
1543C22×D4—48no—
1544C22×D4—88no—
1545C22×D4—84no—
1546C22×D4AGL(1,ℤ/8)116yescomplemented
1547C22×D4C22×D418yes—
1548C22×D4C22×D4116yes—
1549C22×D4C22×D414yes—
1550C22×D4C22×D418yes—
1551C22×D4C2514yes—
1552C22×D4C2514yes—
1553C22×D4C2514yes—
1554C22×D4C2512yes—
1555C22×D4C25132yes—
1556C22×D4C25116yes—
1557C22×D4C2512yes—
1558C22×D4C2514yes—
1559C22×D4C2518yes—
1560C22×D4C25116yes—
1561C23×C4—216no—
1562C23×C4—28no—
1563C23×C4—21no—
1564C23×C4—22no—
1565C23×C4—21no—
1566C23×C4—28no—
1567C23×C4—216no—
1568C23×C4—24no—
1569C23×C4—28no—
1570C23×C4—24no—
1571C23×C4—24no—
1572C23×C4—24no—
1573C23×C4—24no—
1574C23×C4—24no—
1575C23×C4—28no—
1576C23×C4—22no—
1577C23×C4—22no—
1578C23×C4—216no—
1579C23×C4—28no—
1580C23×C4—24no—
1581C23×C4—22no—
1582C23×C4—22no—
1583C23×C4—24no—
1584C23×C4—216no—
1585C23×C4—28no—
1586C23×C4—28no—
1587C23×C4—24no—
1588C23×C4—216no—
1589C23×C4—28no—
1590C23×C4—28no—
1591C23×C4—24no—
1592C23×C4—264no—
1593C23×C4—264no—
1594C23×C4—232no—
1595C23×C4—232no—
1596C23×C4—24no—
1597C23×C4—28no—
1598C23×C4—232no—
1599C23×C4—48no—
1600C23×C4—44no—
1601C23×C4—48no—
1602C23×C4—416no—
1603C23×C4—416no—
1604C23×C4—48no—
1605C23×C4—416no—
1606C23×C4—464no—
1607C23×C4—464no—
1608C23×C4—4256no—
1609C23×C4—432no—
1610C23×C4—432no—
1611C23×C4—4128no—
1612C23×C4—48no—
1613C23×C4—416no—
1614C23×C4—48no—
1615C23×C4—48no—
1616C23×C4—84no—
1617C23×C4—82no—
1618C23×C4—816no—
1619C23×C4C22×D414yes—
1620C23×C4C22×D414yes—
1621C23×C4C22×D412yes—
1622C23×C4C22×D412yes—
1623C23×C4C22×D412yes—
1624C23×C4C22×D4116yes—
1625C23×C4C22×D418yes—
1626C23×C4C22×D411yescharacteristic
1627C23×C4C22×D411yescharacteristic
1628C23×C4C22×D414yes—
1629C23×C4C22×D412yes—
1630C23×C4C22×D411yescharacteristic
1631C23×C4C22×D411yescharacteristic
1632C23×C4C22×D412yes—
1633C23×C4C22×D412yes—
1634C23×C4C22×D414yes—
1635C23×C4C22×D412yes—
1636C23×C4C22×D414yes—
1637C23×C4C22×D412yes—
1638C23×C4C22×D418yes—
1639C23×C4C22×D414yes—
1640C23×C4C22×D4116yes—
1641C23×C4C22×D418yes—
1642C23×C4C22×D411yescharacteristic
1643C23×C4C2514yes—
1644C23×C4C2511yescharacteristic
1645C23×C4C2512yes—
1646C23×C4C2518yes—
1647C23×C4C2514yes—
1648AGL(1,ℤ/8)—4128no—
1649C2×SD16—232no—
1650C2×SD16—432no—
1651C2×SD16—416no—
1652C2×SD16—4128no—
1653C2×SD16C25132yes—
1654C2×SD16C25164yes—
1655C2×SD16C25132yes—
1656C2×D8—232no—
1657C2×D8—432no—
1658C2×D8—416no—
1659C2×D8—4128no—
1660C2×D8C25132yes—
1661C2×D8C25164yes—
1662C2×D8C25132yes—
1663C2×M16—416no—
1664C2×M16C25132yes—
1665C22×C8—416no—
1666C22×C8—416no—
1667C22×C8C2518yes—
1668C22×C8C2518yes—
1669C22×C8C25132yes—
1670C22×C8C25132yes—
1671C4⋊Q8—232no—
1672C4⋊Q8—232no—
1673C4⋊Q8—232no—
1674C4⋊Q8—216no—
1675C4⋊Q8—216no—
1676C4⋊Q8—28no—
1677C4⋊Q8—24no—
1678C4⋊Q8—24no—
1679C4⋊Q8—24no—
1680C4⋊Q8C2518yes—
1681C4⋊Q8C25116yes—
1682C4⋊Q8C25132yes—
1683C4⋊Q8C2518yes—
1684C4⋊Q8C2518yes—
1685#127—232no—
1686#127—216no—
1687#127—216no—
1688#127—28no—
1689#127—24no—
1690#127C25116yes—
1691#127C25132yes—
1692#127C2518yes—
1693#126—264no—
1694#126—264no—
1695#126—264no—
1696#126—232no—
1697#126—264no—
1698#126—264no—
1699#126—264no—
1700#126—232no—
1701#125—264no—
1702#125—232no—
1703#125—264no—
1704#125—28no—
1705#125—216no—
1706#125—232no—
1707#125—232no—
1708#125—216no—
1709#125—216no—
1710#125C25116yes—
1711#125C25132yes—
1712#124—232no—
1713#124—264no—
1714#124—28no—
1715#124—232no—
1716#124—264no—
1717#124—232no—
1718#124—264no—
1719#124—216no—
1720#124—232no—
1721#124—232no—
1722#124—216no—
1723#124—216no—
1724#124C25116yes—
1725#124C25132yes—
1726#123—264no—
1727#123—232no—
1728#123—264no—
1729#123—264no—
1730#123—264no—
1731#123—232no—
1732#123—232no—
1733#123—264no—
1734#123—264no—
1735#123—2128no—
1736#123—2128no—
1737#123—2128no—
1738#123—264no—
1739#123—264no—
1740C22⋊Q8—232no—
1741C22⋊Q8—232no—
1742C22⋊Q8—28no—
1743C22⋊Q8—232no—
1744C22⋊Q8—216no—
1745C22⋊Q8—232no—
1746C22⋊Q8—216no—
1747C22⋊Q8—216no—
1748C22⋊Q8—216no—
1749C22⋊Q8—216no—
1750C22⋊Q8—28no—
1751C22⋊Q8—264no—
1752C22⋊Q8—2128no—
1753C22⋊Q8—264no—
1754C22⋊Q8—2128no—
1755C22⋊Q8—264no—
1756C22⋊Q8—232no—
1757C22⋊Q8—264no—
1758C22⋊Q8—264no—
1759C22⋊Q8—264no—
1760C22⋊Q8C25116yes—
1761C22⋊Q8C25132yes—
1762C22⋊Q8C25116yes—
1763#121—264no—
1764#121—264no—
1765#121—28no—
1766#121—264no—
1767#121—264no—
1768#121—232no—
1769#121—232no—
1770#121—232no—
1771#121—216no—
1772#121—232no—
1773#121—216no—
1774#121—216no—
1775#121—216no—
1776#121—232no—
1777#121—232no—
1778#121—232no—
1779#121—216no—
1780#121—216no—
1781#121—216no—
1782#121—216no—
1783#121—28no—
1784#121—264no—
1785#121—2128no—
1786#121—264no—
1787#121—2128no—
1788#121—232no—
1789#121—264no—
1790#121C25116yes—
1791#121C25132yes—
1792#121C25132yes—
1793#121C25132yes—
1794#121C25132yes—
1795#121C25116yes—
1796#120—232no—
1797#120—264no—
1798#120—2128no—
1799#120—2128no—
1800#120—2128no—
1801#120—264no—
1802C4×Q8—232no—
1803C4×Q8—28no—
1804C4×Q8—216no—
1805C4×Q8—232no—
1806C4×Q8—232no—
1807C4×Q8—216no—
1808C4×Q8—216no—
1809C4×Q8—216no—
1810C4×Q8—216no—
1811C4×Q8—28no—
1812C4×Q8C22×D4132yes—
1813C4×Q8C22×D4132yes—
1814C4×Q8C22×D4132yes—
1815C4×Q8C22×D4116yes—
1816C4×Q8C25116yes—
1817C4×Q8C25132yes—
1818C4×Q8C25116yes—
1819C4×Q8C25116yes—
1820C4×D4—232no—
1821C4×D4—232no—
1822C4×D4—232no—
1823C4×D4—264no—
1824C4×D4—264no—
1825C4×D4—264no—
1826C4×D4—232no—
1827C4×D4—232no—
1828C4×D4—232no—
1829C4×D4—232no—
1830C4×D4—232no—
1831C4×D4—232no—
1832C4×D4—264no—
1833C4×D4—264no—
1834C4×D4—28no—
1835C4×D4—24no—
1836C4×D4—24no—
1837C4×D4—28no—
1838C4×D4—264no—
1839C4×D4—232no—
1840C4×D4—232no—
1841C4×D4—264no—
1842C4×D4—216no—
1843C4×D4—28no—
1844C4×D4—28no—
1845C4×D4—24no—
1846C4×D4—28no—
1847C4×D4—24no—
1848C4×D4—216no—
1849C4×D4—28no—
1850C4×D4—232no—
1851C4×D4—216no—
1852C4×D4—216no—
1853C4×D4—28no—
1854C4×D4—232no—
1855C4×D4—232no—
1856C4×D4—264no—
1857C4×D4—264no—
1858C4×D4—232no—
1859C4×D4—216no—
1860C4×D4—216no—
1861C4×D4—28no—
1862C4×D4—216no—
1863C4×D4—28no—
1864C4×D4—232no—
1865C4×D4—264no—
1866C4×D4—264no—
1867C4×D4—232no—
1868C4×D4—216no—
1869C4×D4—232no—
1870C4×D4—232no—
1871C4×D4—216no—
1872C4×D4—216no—
1873C4×D4—216no—
1874C4×D4—28no—
1875C4×D4C22×D4132yes—
1876C4×D4C22×D4132yes—
1877C4×D4C22×D4164yes—
1878C4×D4C22×D4164yes—
1879C4×D4C22×D4116yes—
1880C4×D4C22×D4132yes—
1881C4×D4C22×D4132yes—
1882C4×D4C22×D4164yes—
1883C4×D4C2518yes—
1884C4×D4C2518yes—
1885C4×D4C2518yes—
1886C4×D4C25116yes—
1887C4×D4C25116yes—
1888C4×D4C2518yes—
1889C4×D4C25116yes—
1890C4×D4C25132yes—
1891C4×D4C25116yes—
1892C4×D4C25132yes—
1893C4×D4C25116yes—
1894C4×D4C25132yes—
1895C4×D4C25116yes—
1896C4×D4C25116yes—
1897C4×D4C25132yes—
1898#117—216no—
1899#117—216no—
1900#117—28no—
1901#117—232no—
1902#117—264no—
1903#117—232no—
1904#117—264no—
1905#117—264no—
1906#117—264no—
1907#117—232no—
1908#117—232no—
1909#117C22×D4164yes—
1910#117C22×D4164yes—
1911#117C22×D4132yes—
1912#117C22×D4132yes—
1913#117C25116yes—
1914C2×C4⋊C4—22no—
1915C2×C4⋊C4—21no—
1916C2×C4⋊C4—24no—
1917C2×C4⋊C4—22no—
1918C2×C4⋊C4—22no—
1919C2×C4⋊C4—21no—
1920C2×C4⋊C4—28no—
1921C2×C4⋊C4—216no—
1922C2×C4⋊C4—24no—
1923C2×C4⋊C4—28no—
1924C2×C4⋊C4—216no—
1925C2×C4⋊C4—28no—
1926C2×C4⋊C4—232no—
1927C2×C4⋊C4—216no—
1928C2×C4⋊C4—24no—
1929C2×C4⋊C4—24no—
1930C2×C4⋊C4—22no—
1931C2×C4⋊C4—28no—
1932C2×C4⋊C4—24no—
1933C2×C4⋊C4—24no—
1934C2×C4⋊C4—28no—
1935C2×C4⋊C4—28no—
1936C2×C4⋊C4—232no—
1937C2×C4⋊C4—232no—
1938C2×C4⋊C4—232no—
1939C2×C4⋊C4—216no—
1940C2×C4⋊C4—28no—
1941C2×C4⋊C4—28no—
1942C2×C4⋊C4—24no—
1943C2×C4⋊C4—28no—
1944C2×C4⋊C4—232no—
1945C2×C4⋊C4—24no—
1946C2×C4⋊C4—28no—
1947C2×C4⋊C4—24no—
1948C2×C4⋊C4—28no—
1949C2×C4⋊C4—22no—
1950C2×C4⋊C4—24no—
1951C2×C4⋊C4—22no—
1952C2×C4⋊C4—22no—
1953C2×C4⋊C4—24no—
1954C2×C4⋊C4—232no—
1955C2×C4⋊C4C22×D414yes—
1956C2×C4⋊C4C22×D418yes—
1957C2×C4⋊C4C22×D418yes—
1958C2×C4⋊C4C22×D4116yes—
1959C2×C4⋊C4C22×D414yes—
1960C2×C4⋊C4C22×D418yes—
1961C2×C4⋊C4C22×D418yes—
1962C2×C4⋊C4C22×D4116yes—
1963C2×C4⋊C4C2512yes—
1964C2×C4⋊C4C2514yes—
1965C2×C4⋊C4C2514yes—
1966C2×C4⋊C4C2512yes—
1967C2×C4⋊C4C2518yes—
1968C2×C4⋊C4C2514yes—
1969C2×C4⋊C4C25132yes—
1970C2×C4⋊C4C25116yes—
1971C2×C4⋊C4C2514yes—
1972C2×C4⋊C4C2514yes—
1973C2×C4⋊C4C25116yes—
1974C2×C4⋊C4C25116yes—
1975C2×C22⋊C4—24no—
1976C2×C22⋊C4—28no—
1977C2×C22⋊C4—232no—
1978C2×C22⋊C4—24no—
1979C2×C22⋊C4—24no—
1980C2×C22⋊C4—28no—
1981C2×C22⋊C4—22no—
1982C2×C22⋊C4—22no—
1983C2×C22⋊C4—216no—
1984C2×C22⋊C4—28no—
1985C2×C22⋊C4—28no—
1986C2×C22⋊C4—24no—
1987C2×C22⋊C4—216no—
1988C2×C22⋊C4—28no—
1989C2×C22⋊C4—28no—
1990C2×C22⋊C4—24no—
1991C2×C22⋊C4—216no—
1992C2×C22⋊C4—28no—
1993C2×C22⋊C4—22no—
1994C2×C22⋊C4—24no—
1995C2×C22⋊C4—24no—
1996C2×C22⋊C4—22no—
1997C2×C22⋊C4—264no—
1998C2×C22⋊C4—264no—
1999C2×C22⋊C4—232no—
2000C2×C22⋊C4—232no—
2001C2×C22⋊C4—24no—
2002C2×C22⋊C4—24no—
2003C2×C22⋊C4—28no—
2004C2×C22⋊C4—24no—
2005C2×C22⋊C4—24no—
2006C2×C22⋊C4—24no—
2007C2×C22⋊C4—28no—
2008C2×C22⋊C4—28no—
2009C2×C22⋊C4—232no—
2010C2×C22⋊C4—232no—
2011C2×C22⋊C4—232no—
2012C2×C22⋊C4—216no—
2013C2×C22⋊C4—216no—
2014C2×C22⋊C4—216no—
2015C2×C22⋊C4—28no—
2016C2×C22⋊C4—28no—
2017C2×C22⋊C4—28no—
2018C2×C22⋊C4—28no—
2019C2×C22⋊C4—232no—
2020C2×C22⋊C4—24no—
2021C2×C22⋊C4—264no—
2022C2×C22⋊C4C22×D418yes—
2023C2×C22⋊C4C22×D4116yes—
2024C2×C22⋊C4C22×D418yes—
2025C2×C22⋊C4C22×D418yes—
2026C2×C22⋊C4C22×D4116yes—
2027C2×C22⋊C4C22×D4116yes—
2028C2×C42—24no—
2029C2×C42—28no—
2030C2×C42—24no—
2031C2×C42—24no—
2032C2×C42—232no—
2033C2×C42—232no—
2034C2×C42C22×D411yescharacteristic
2035C2×C42C22×D412yes—
2036C2×C42C22×D414yes—
2037C2×C42C22×D414yes—
2038C2×C42C22×D412yes—
2039C2×C42C22×D414yes—
2040C2×C42C22×D4132yes—
2041C2×C42C22×D412yes—
2042C2×C42C22×D414yes—
2043C2×C42C22×D418yes—
2044C2×C42C22×D4116yes—
2045C2×C42C22×D411yescharacteristic
2046C2×C42C22×D414yes—
2047C2×C42C22×D412yes—
2048C2×C42C22×D412yes—
2049C2×C42C22×D4116yes—
2050C2×C42C22×D418yes—
2051C2×C42C22×D414yes—
2052C2×C42C22×D4116yes—
2053C2×C42C22×D418yes—
2054C2×C42C22×D414yes—
2055C2×C42C22×D4116yes—
2056C2×C42C22×D418yes—
2057C2×C42C22×D4116yes—
2058C2×C42C22×D4132yes—
2059C2×C42C22×D4116yes—
2060C2×C42C22×D418yes—
2061C2×C42C2511yescharacteristic
2062C2×C42C2514yes—
2063C2×C42C2512yes—
2064C2×C42C2511yescharacteristic
2065C2×C42C2514yes—
2066C2×C42C2518yes—
2067C2×C42C2514yes—
2068C2×C42C25116yes—
2069C2×C42C2518yes—
2070C2×C42C25116yes—
2071C2×C42C2518yes—
2072#107C25132yes—
2073#107C25164yes—
2074#107C25132yes—
2075#106C25132yes—
2076#106C25164yes—
2077#106C25132yes—
2078C4⋊C8C25132yes—
2079C4⋊C8C25164yes—
2080C4⋊C8C25116yes—
2081C4⋊C8C25116yes—
2082#103C25132yes—
2083#103C25164yes—
2084#103C25132yes—
2085#102C25132yes—
2086#102C25132yes—
2087#102C25164yes—
2088#102C25164yes—
2089#102C25132yes—
2090#102C25164yes—
2091#102C25132yes—
2092#102C25132yes—
2093#102C25132yes—
2094C22⋊C8C25116yes—
2095C22⋊C8C25116yes—
2096C22⋊C8C25132yes—
2097C22⋊C8C25132yes—
2098C22⋊C8C25132yes—
2099#97C25132yes—
2100#97C25164yes—
2101C4×C8C25116yes—
2102C4×C8C25116yes—
2103C24—28no—
2104C24—24no—
2105C24—22no—
2106C24—24no—
2107C24—28no—
2108C24—24no—
2109C24—24no—
2110C24—24no—
2111C24—22no—
2112C24—216no—
2113C24—232no—
2114C24—216no—
2115C24—44no—
2116C24—42no—
2117C24—44no—
2118C24—42no—
2119C24—432no—
2120C24—416no—
2121C24—44no—
2122C24—432no—
2123C24—416no—
2124C24—48no—
2125C24—44no—
2126C24—464no—
2127C24—432no—
2128C24—48no—
2129C24—44no—
2130C24—44no—
2131C24—432no—
2132C24—464no—
2133C24—48no—
2134C24—44no—
2135C24—416no—
2136C24—816no—
2137C24—88no—
2138C24—88no—
2139C24—88no—
2140C24—832no—
2141C24—816no—
2142C24—8128no—
2143C24—864no—
2144C24C2×AGL(1,ℤ/8)116yes—
2145C24C23×D412yes—
2146C24C23×D411yescharacteristic
2147C24C23×D414yes—
2148C24C23×D414yes—
2149C24C23×D418yes—
2150#41—2128no—
2151#41—2128no—
2152#41—4256no—
2153#41—4256no—
2154#41—4128no—
2155#41—4128no—
2156#41—432no—
2157#41—4512no—
2158#41—4256no—
2159#41—4256no—
2160#41—4128no—
2161#41—464no—
2162#41—816no—
2163#41—832no—
2164C2×Q8—24no—
2165C2×Q8—28no—
2166C2×Q8—232no—
2167C2×Q8—216no—
2168C2×Q8—28no—
2169C2×Q8—216no—
2170C2×Q8—216no—
2171C2×Q8—232no—
2172C2×Q8—216no—
2173C2×Q8—464no—
2174C2×Q8—432no—
2175C2×Q8—432no—
2176C2×Q8—4256no—
2177C2×Q8—416no—
2178C2×Q8—432no—
2179C2×Q8—48no—
2180C2×Q8—88no—
2181C2×Q8—84no—
2182C2×Q8—816no—
2183C2×Q8C23×D4116yes—
2184C2×Q8C2618yes—
2185C2×D4—28no—
2186C2×D4—216no—
2187C2×D4—232no—
2188C2×D4—264no—
2189C2×D4—216no—
2190C2×D4—264no—
2191C2×D4—232no—
2192C2×D4—216no—
2193C2×D4—232no—
2194C2×D4—232no—
2195C2×D4—232no—
2196C2×D4—232no—
2197C2×D4—216no—
2198C2×D4—216no—
2199C2×D4—24no—
2200C2×D4—22no—
2201C2×D4—216no—
2202C2×D4—232no—
2203C2×D4—24no—
2204C2×D4—28no—
2205C2×D4—28no—
2206C2×D4—24no—
2207C2×D4—24no—
2208C2×D4—22no—
2209C2×D4—232no—
2210C2×D4—216no—
2211C2×D4—232no—
2212C2×D4—216no—
2213C2×D4—28no—
2214C2×D4—216no—
2215C2×D4—24no—
2216C2×D4—216no—
2217C2×D4—216no—
2218C2×D4—28no—
2219C2×D4—432no—
2220C2×D4—416no—
2221C2×D4—416no—
2222C2×D4—48no—
2223C2×D4—432no—
2224C2×D4—464no—
2225C2×D4—432no—
2226C2×D4—416no—
2227C2×D4—432no—
2228C2×D4—48no—
2229C2×D4—44no—
2230C2×D4—416no—
2231C2×D4—48no—
2232C2×D4—464no—
2233C2×D4—432no—
2234C2×D4—464no—
2235C2×D4—4128no—
2236C2×D4—4512no—
2237C2×D4—432no—
2238C2×D4—464no—
2239C2×D4—464no—
2240C2×D4—432no—
2241C2×D4—432no—
2242C2×D4—432no—
2243C2×D4—464no—
2244C2×D4—464no—
2245C2×D4—416no—
2246C2×D4—432no—
2247C2×D4—4128no—
2248C2×D4—4256no—
2249C2×D4—4128no—
2250C2×D4—416no—
2251C2×D4—432no—
2252C2×D4—48no—
2253C2×D4—816no—
2254C2×D4—88no—
2255C2×D4—816no—
2256C2×D4—88no—
2257C2×D4—84no—
2258C2×D4—88no—
2259C2×D4—88no—
2260C2×D4—832no—
2261C2×D4—816no—
2262C2×D4C2×AGL(1,ℤ/8)132yes—
2263C2×D4C2×AGL(1,ℤ/8)164yescomplemented
2264C2×D4C23×D4132yes—
2265C2×D4C23×D4116yes—
2266C2×D4#58518yes—
2267C2×D4C2618yes—
2268C2×D4C2618yes—
2269C2×D4C2614yes—
2270C2×D4C2614yes—
2271C22×C4—24no—
2272C22×C4—28no—
2273C22×C4—216no—
2274C22×C4—216no—
2275C22×C4—264no—
2276C22×C4—216no—
2277C22×C4—28no—
2278C22×C4—24no—
2279C22×C4—28no—
2280C22×C4—28no—
2281C22×C4—232no—
2282C22×C4—216no—
2283C22×C4—24no—
2284C22×C4—28no—
2285C22×C4—24no—
2286C22×C4—216no—
2287C22×C4—232no—
2288C22×C4—24no—
2289C22×C4—24no—
2290C22×C4—24no—
2291C22×C4—22no—
2292C22×C4—24no—
2293C22×C4—22no—
2294C22×C4—216no—
2295C22×C4—216no—
2296C22×C4—216no—
2297C22×C4—216no—
2298C22×C4—28no—
2299C22×C4—28no—
2300C22×C4—28no—
2301C22×C4—216no—
2302C22×C4—216no—
2303C22×C4—28no—
2304C22×C4—232no—
2305C22×C4—216no—
2306C22×C4—232no—
2307C22×C4—216no—
2308C22×C4—216no—
2309C22×C4—232no—
2310C22×C4—416no—
2311C22×C4—48no—
2312C22×C4—416no—
2313C22×C4—48no—
2314C22×C4—44no—
2315C22×C4—48no—
2316C22×C4—42no—
2317C22×C4—44no—
2318C22×C4—42no—
2319C22×C4—48no—
2320C22×C4—48no—
2321C22×C4—44no—
2322C22×C4—44no—
2323C22×C4—42no—
2324C22×C4—44no—
2325C22×C4—432no—
2326C22×C4—48no—
2327C22×C4—48no—
2328C22×C4—464no—
2329C22×C4—432no—
2330C22×C4—464no—
2331C22×C4—432no—
2332C22×C4—416no—
2333C22×C4—416no—
2334C22×C4—48no—
2335C22×C4—48no—
2336C22×C4—464no—
2337C22×C4—432no—
2338C22×C4—4256no—
2339C22×C4—4256no—
2340C22×C4—4128no—
2341C22×C4—4128no—
2342C22×C4—416no—
2343C22×C4—432no—
2344C22×C4—416no—
2345C22×C4—44no—
2346C22×C4—48no—
2347C22×C4—44no—
2348C22×C4—432no—
2349C22×C4—464no—
2350C22×C4—416no—
2351C22×C4—416no—
2352C22×C4—432no—
2353C22×C4—416no—
2354C22×C4—432no—
2355C22×C4—416no—
2356C22×C4—816no—
2357C22×C4—88no—
2358C22×C4—816no—
2359C22×C4—88no—
2360C22×C4—864no—
2361C22×C4—88no—
2362C22×C4—88no—
2363C22×C4C2×AGL(1,ℤ/8)18yes—
2364C22×C4C23×D412yes—
2365C22×C4C23×D414yes—
2366C22×C4C23×D418yes—
2367C22×C4C23×D414yes—
2368C22×C4C23×D4116yes—
2369C22×C4C23×D4116yes—
2370C22×C4C23×D418yes—
2371C22×C4C23×D418yes—
2372C22×C4C23×D418yes—
2373C22×C4C23×D411yescharacteristic
2374C22×C4C23×D412yes—
2375C22×C4C23×D414yes—
2376C22×C4C23×D411yescharacteristic
2377C22×C4C23×D411yescharacteristic
2378C22×C4C23×D411yescharacteristic
2379C22×C4C23×D411yescharacteristic
2380C22×C4C23×D414yes—
2381C22×C4C23×D412yes—
2382C22×C4C23×D414yes—
2383C22×C4C23×D4116yes—
2384C22×C4C23×D414yes—
2385C22×C4C23×D414yes—
2386C22×C4C23×D418yes—
2387C22×C4C23×D4116yes—
2388C22×C4C23×D418yes—
2389C22×C4C23×D4116yes—
2390C22×C4C23×D418yes—
2391C22×C4C23×D414yes—
2392C22×C4C23×D418yes—
2393C22×C4C23×D418yes—
2394C22×C4C23×D414yes—
2395C22×C4C23×D412yes—
2396C22×C4C2612yes—
2397C22×C4C2618yes—
2398C22×C4C2614yes—
2399C22×C4C2611yescharacteristic
2400SD16—264no—
2401SD16—464no—
2402SD16—432no—
2403D8—264no—
2404D8—464no—
2405D8—432no—
2406M16—432no—
2407C2×C8—216no—
2408C2×C8—216no—
2409C2×C8—432no—
2410C2×C8—432no—
2411C2×C8C26116yes—
2412C2×C8C26116yes—
2413C4⋊C4—24no—
2414C4⋊C4—22no—
2415C4⋊C4—28no—
2416C4⋊C4—24no—
2417C4⋊C4—24no—
2418C4⋊C4—22no—
2419C4⋊C4—216no—
2420C4⋊C4—232no—
2421C4⋊C4—216no—
2422C4⋊C4—216no—
2423C4⋊C4—28no—
2424C4⋊C4—232no—
2425C4⋊C4—216no—
2426C4⋊C4—216no—
2427C4⋊C4—24no—
2428C4⋊C4—24no—
2429C4⋊C4—232no—
2430C4⋊C4—232no—
2431C4⋊C4—232no—
2432C4⋊C4—216no—
2433C4⋊C4—232no—
2434C4⋊C4—216no—
2435C4⋊C4—216no—
2436C4⋊C4—28no—
2437C4⋊C4—216no—
2438C4⋊C4—28no—
2439C4⋊C4—28no—
2440C4⋊C4—216no—
2441C4⋊C4C23×D4116yes—
2442C4⋊C4C23×D4132yes—
2443C4⋊C4C23×D4116yes—
2444C4⋊C4C23×D4132yes—
2445C4⋊C4C2618yes—
2446C4⋊C4C2618yes—
2447C4⋊C4C2614yes—
2448C4⋊C4C2618yes—
2449C4⋊C4C2614yes—
2450C22⋊C4—216no—
2451C22⋊C4—232no—
2452C22⋊C4—216no—
2453C22⋊C4—216no—
2454C22⋊C4—28no—
2455C22⋊C4—28no—
2456C22⋊C4—232no—
2457C22⋊C4—216no—
2458C22⋊C4—232no—
2459C22⋊C4—216no—
2460C22⋊C4—216no—
2461C22⋊C4—28no—
2462C22⋊C4—216no—
2463C22⋊C4—28no—
2464C22⋊C4—216no—
2465C22⋊C4—216no—
2466C22⋊C4—232no—
2467C22⋊C4—216no—
2468C22⋊C4—216no—
2469C22⋊C4—216no—
2470C22⋊C4—232no—
2471C22⋊C4—232no—
2472C22⋊C4—232no—
2473C22⋊C4—232no—
2474C22⋊C4—232no—
2475C22⋊C4—232no—
2476C22⋊C4—216no—
2477C22⋊C4C23×D4132yes—
2478C22⋊C4C23×D4132yes—
2479C22⋊C4C23×D4132yes—
2480C42—216no—
2481C42—232no—
2482C42—216no—
2483C42—216no—
2484C42C23×D418yes—
2485C42C23×D414yes—
2486C42C23×D412yes—
2487C42C23×D412yes—
2488C42C23×D414yes—
2489C42C23×D418yes—
2490C42C23×D4116yes—
2491C42C23×D4116yes—
2492C42C23×D418yes—
2493C42C23×D4116yes—
2494C42C23×D418yes—
2495C42C23×D4116yes—
2496C42C23×D418yes—
2497C42C23×D418yes—
2498C42C23×D414yes—
2499C42C23×D4116yes—
2500C42C2614yes—
2501C42C2612yes—
2502C42C2618yes—
2503C42C2612yes—
2504C23—22no—
2505C23—28no—
2506C23—22no—
2507C23—28no—
2508C23—216no—
2509C23—24no—
2510C23—28no—
2511C23—28no—
2512C23—24no—
2513C23—24no—
2514C23—24no—
2515C23—28no—
2516C23—28no—
2517C23—24no—
2518C23—48no—
2519C23—44no—
2520C23—48no—
2521C23—44no—
2522C23—432no—
2523C23—464no—
2524C23—432no—
2525C23—416no—
2526C23—432no—
2527C23—48no—
2528C23—432no—
2529C23—416no—
2530C23—48no—
2531C23—416no—
2532C23—48no—
2533C23—48no—
2534C23—44no—
2535C23—44no—
2536C23—48no—
2537C23—48no—
2538C23—44no—
2539C23—464no—
2540C23—416no—
2541C23—48no—
2542C23—48no—
2543C23—44no—
2544C23—48no—
2545C23—48no—
2546C23—48no—
2547C23—44no—
2548C23—432no—
2549C23—832no—
2550C23—816no—
2551C23—816no—
2552C23—816no—
2553C23—8128no—
2554C23—832no—
2555C23—816no—
2556C23—8256no—
2557C23—8128no—
2558C23—864no—
2559C23—1632no—
2560C23C22×AGL(1,ℤ/8)14yes—
2561C23C22×AGL(1,ℤ/8)116yes—
2562C23C22×AGL(1,ℤ/8)132yes—
2563C23C24×D414yes—
2564C23C24×D412yes—
2565C23C24×D418yes—
2566C23C24×D411yescharacteristic
2567Q8—232no—
2568Q8—216no—
2569Q8—464no—
2570Q8—48no—
2571Q8—432no—
2572Q8—416no—
2573Q8—816no—
2574Q8—88no—
2575D4—216no—
2576D4—264no—
2577D4—28no—
2578D4—24no—
2579D4—216no—
2580D4—216no—
2581D4—28no—
2582D4—432no—
2583D4—464no—
2584D4—416no—
2585D4—48no—
2586D4—464no—
2587D4—464no—
2588D4—464no—
2589D4—464no—
2590D4—432no—
2591D4—464no—
2592D4—48no—
2593D4—44no—
2594D4—48no—
2595D4—432no—
2596D4—416no—
2597D4—816no—
2598D4—832no—
2599D4—816no—
2600D4—88no—
2601D4—816no—
2602D4—816no—
2603D4C22×AGL(1,ℤ/8)164yes—
2604D4C2×#58518yes—
2605C2×C4—22no—
2606C2×C4—24no—
2607C2×C4—28no—
2608C2×C4—28no—
2609C2×C4—22no—
2610C2×C4—22no—
2611C2×C4—216no—
2612C2×C4—28no—
2613C2×C4—232no—
2614C2×C4—232no—
2615C2×C4—22no—
2616C2×C4—22no—
2617C2×C4—28no—
2618C2×C4—24no—
2619C2×C4—24no—
2620C2×C4—216no—
2621C2×C4—28no—
2622C2×C4—216no—
2623C2×C4—216no—
2624C2×C4—216no—
2625C2×C4—28no—
2626C2×C4—24no—
2627C2×C4—28no—
2628C2×C4—28no—
2629C2×C4—28no—
2630C2×C4—24no—
2631C2×C4—28no—
2632C2×C4—24no—
2633C2×C4—48no—
2634C2×C4—416no—
2635C2×C4—44no—
2636C2×C4—48no—
2637C2×C4—44no—
2638C2×C4—416no—
2639C2×C4—416no—
2640C2×C4—48no—
2641C2×C4—48no—
2642C2×C4—44no—
2643C2×C4—48no—
2644C2×C4—416no—
2645C2×C4—416no—
2646C2×C4—464no—
2647C2×C4—432no—
2648C2×C4—432no—
2649C2×C4—416no—
2650C2×C4—416no—
2651C2×C4—464no—
2652C2×C4—432no—
2653C2×C4—432no—
2654C2×C4—48no—
2655C2×C4—48no—
2656C2×C4—44no—
2657C2×C4—416no—
2658C2×C4—48no—
2659C2×C4—48no—
2660C2×C4—44no—
2661C2×C4—464no—
2662C2×C4—48no—
2663C2×C4—432no—
2664C2×C4—48no—
2665C2×C4—432no—
2666C2×C4—432no—
2667C2×C4—432no—
2668C2×C4—832no—
2669C2×C4—816no—
2670C2×C4—816no—
2671C2×C4—816no—
2672C2×C4C22×AGL(1,ℤ/8)18yes—
2673C2×C4C22×AGL(1,ℤ/8)116yes—
2674C2×C4C24×D412yes—
2675C2×C4C24×D414yes—
2676C2×C4C24×D418yes—
2677C2×C4C24×D412yes—
2678C2×C4C24×D412yes—
2679C2×C4C24×D412yes—
2680C2×C4C24×D412yes—
2681C2×C4C24×D418yes—
2682C2×C4C24×D414yes—
2683C2×C4C24×D418yes—
2684C2×C4C24×D411yescharacteristic
2685C2×C4C24×D414yes—
2686C2×C4C2×#58514yes—
2687C2×C4C2711yescharacteristic
2688C8—216no—
2689C8—216no—
2690C22—28no—
2691C22—232no—
2692C22—22no—
2693C22—28no—
2694C22—22no—
2695C22—28no—
2696C22—24no—
2697C22—24no—
2698C22—24no—
2699C22—28no—
2700C22—432no—
2701C22—416no—
2702C22—432no—
2703C22—48no—
2704C22—416no—
2705C22—44no—
2706C22—44no—
2707C22—48no—
2708C22—44no—
2709C22—48no—
2710C22—48no—
2711C22—48no—
2712C22—44no—
2713C22—48no—
2714C22—48no—
2715C22—44no—
2716C22—8128no—
2717C22—832no—
2718C22—816no—
2719C22—864no—
2720C22—816no—
2721C22—88no—
2722C22—816no—
2723C22—1632no—
2724C22#6281112yes—
2725C22C23×AGL(1,ℤ/8)14yes—
2726C22C23×AGL(1,ℤ/8)116yes—
2727C22C23×AGL(1,ℤ/8)12yes—
2728C22#6309012yes—
2729C22C25×D411yescharacteristic
2730C4—22no—
2731C4—22no—
2732C4—28no—
2733C4—22no—
2734C4—22no—
2735C4—28no—
2736C4—24no—
2737C4—22no—
2738C4—24no—
2739C4—28no—
2740C4—44no—
2741C4—48no—
2742C4—44no—
2743C4—48no—
2744C4—48no—
2745C4—48no—
2746C4#6281112yes—
2747C4C23×AGL(1,ℤ/8)18yes—
2748C4C22×#58512yes—
2749C2—24no—
2750C2—216no—
2751C2—44no—
2752C2—48no—
2753C2—88no—
2754C2—84no—
2755C2—88no—
2756C2#1058030914yesdirect product factor
2757C2C2×#6281111yescharacteristic
2758C2C24×AGL(1,ℤ/8)11yescharacteristic
2759C2C2×#6309011yescharacteristic
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC2×C4C27
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#62781C2semidirect
2. C22×D4×#41C2semidirect
3. #10580309C2direct (N × H)
4. C2×#62137C2semidirect
5. C2×#61989C2semidirect
6. C2×#61890C2semidirect
7. C2×#61827C2semidirect
8. C2×#61706C2semidirect
9. C2×#61695C2semidirect
10. C2×#61694C2semidirect
11. C2×#61571C2semidirect
12. C2×#61560C2semidirect
13. C2×#61559C2semidirect
14. C2×#61452C2semidirect
15. C2×#61451C2semidirect
16. C2×#60965C2semidirect
17. C2×#60958C2semidirect
18. C2×#60558C2semidirect
19. C22×#3114C2semidirect
20. C2×#60282C2semidirect
23. #62781C22semidirect
25. C2×#3515C22semidirect
26. C2×#3514C22semidirect
27. C2×#3507C22semidirect
31. C2×#3505C22semidirect
32. C2×#3501C22semidirect
33. C2×#3496C22semidirect
34. C2×#3482C22semidirect
35. C2×#3481C22semidirect
40. C2×D4×#41C22semidirect
41. C2×D4×#41C22semidirect
42. C2×D4×#41C22semidirect
43. C22×#550C22semidirect
45. C22×#547C22semidirect
49. C22×D4×Q8C22semidirect
51. C22×D42C22semidirect
54. C2×#3444C22semidirect
55. C22×#532C22semidirect
56. C22×#532C22semidirect
57. C22×#529C22semidirect
62. C23×C4×D4C22semidirect
63. C23×C4×D4C22semidirect
64. #62137C22semidirect
65. #61989C22semidirect
66. #61890C22semidirect
67. #61827C22semidirect
68. #61706C22semidirect
69. #61695C22semidirect
70. #61694C22semidirect
71. #61571C22semidirect
72. #61560C22semidirect
73. #61559C22semidirect
74. #61452C22semidirect
75. #61451C22semidirect
76. C2×#3399C22semidirect
77. C2×#3397C22semidirect
78. C2×#3386C22semidirect
79. C2×#3384C22semidirect
80. C2×#3368C22semidirect
81. C2×#3373C22semidirect
82. C2×#3367C22semidirect
83. C2×#3366C22semidirect
84. C2×#3345C22semidirect
85. C2×#3343C22semidirect
86. C2×#3335C22semidirect
87. C2×#3334C22semidirect
88. C2×#3308C22semidirect
89. C2×#3318C22semidirect
90. C2×#3310C22semidirect
91. C2×#3306C22semidirect
92. C2×#3298C22semidirect
93. C2×#3295C22semidirect
94. C2×#3294C22semidirect
95. C2×#3294C22semidirect
96. C2×D4×SD16C22semidirect
97. C2×D4×D8C22semidirect
98. C2×#3265C22semidirect
99. C2×#3264C22semidirect
100. #60965C22semidirect
101. #60958C22semidirect
102. C2×#3251C22semidirect
103. C2×#3247C22semidirect
104. C2×#3238C22semidirect
105. C2×#3234C22semidirect
106. C2×#3228C22semidirect
107. C2×#3229C22semidirect
108. C2×#3226C22semidirect
109. C2×#3217C22semidirect
110. C2×#3213C22semidirect
111. C2×#3207C22semidirect
112. C2×#3208C22semidirect
113. C2×#3205C22semidirect
114. C2×#3194C22semidirect
115. C2×#3187C22semidirect
116. C2×#3187C22semidirect
117. C2×#3186C22semidirect
118. C2×#3186C22semidirect
119. C2×#3184C22semidirect
120. C2×#3182C22semidirect
121. C2×#3180C22semidirect
122. #60558C22semidirect
123. C2×#3112C22semidirect
124. C2×#3110C22semidirect
125. C2×#3109C22semidirect
126. C2×#3109C22semidirect
127. C2×#3115C22semidirect
128. C2×#3114C22semidirect
129. C2×#3114C22semidirect
130. C2×#3114C22semidirect
131. C2×#3114C22semidirect
132. C2×#3114C22semidirect
133. C2×#3114C22semidirect
134. C2×#3114C22semidirect
135. C2×#3114C22semidirect
136. C2×#3105C22semidirect
137. C2×#3101C22semidirect
138. C2×#3101C22semidirect
140. C2×#3100C22semidirect
141. C2×#3092C22semidirect
142. C22×#483C22semidirect
143. C22×#480C22semidirect
144. C2×#3077C22semidirect
145. C22×#478C22semidirect
146. C2×#3036C22semidirect
147. C22×#463C22semidirect
148. C2×#3003C22semidirect
149. C22×#450C22semidirect
151. #60282C22semidirect
152. C2×#2990C22semidirect
153. C2×#2983C22semidirect
154. C2×#2973C22semidirect
155. C2×#2972C22semidirect
156. C2×#2972C22semidirect
157. C2×#2970C22semidirect
158. C2×C4×AGL(1,ℤ/8)C22semidirect
159. C22×#442C22semidirect
160. C22×#440C22semidirect
161. C2×#2920C22semidirect
162. C22×#432C22semidirect
186. #3515C23semidirect
188. #3514C23semidirect
190. #3507C23semidirect
192. #3505C23semidirect
194. #3501C23semidirect
196. #3496C23semidirect
201. #3482C23semidirect
203. #3481C23semidirect
204. C2×#559C23semidirect
205. C2×#557C23semidirect
209. C2×#556C23semidirect
212. C2×#554C23semidirect
213. C2×#554C23semidirect
216. C2×#553C23semidirect
221. C2×#552C23semidirect
229. D4×#41C23semidirect
230. D4×#41C23semidirect
234. C2×#550C23semidirect
238. C2×D4×Q8C23semidirect
239. C2×D4×Q8C23semidirect
243. C2×#548C23semidirect
253. C2×#547C23semidirect
254. C2×#547C23semidirect
264. C2×#546C23semidirect
272. C2×D42C23semidirect
273. C2×D42C23semidirect
290. #3444C23semidirect
293. C2×#533C23semidirect
294. C2×#533C23semidirect
306. C2×#532C23semidirect
307. C2×#532C23semidirect
308. C2×#532C23semidirect
309. C2×#532C23semidirect
327. C2×#529C23semidirect
328. C2×#529C23semidirect
329. C2×#529C23semidirect
330. C2×#529C23semidirect
332. C22×#125C23semidirect
335. C22×#124C23semidirect
383. C2×C4×#41C23semidirect
386. C22×C4×Q8C23semidirect
416. C22×C4×D4C23semidirect
417. C22×C4×D4C23semidirect
418. C22×C4×D4C23semidirect
428. #3399C23semidirect
429. #3397C23semidirect
430. #3386C23semidirect
431. #3384C23semidirect
432. #3373C23semidirect
433. #3368C23semidirect
434. #3367C23semidirect
435. #3366C23semidirect
436. #3345C23semidirect
437. #3343C23semidirect
438. #3335C23semidirect
439. #3334C23semidirect
440. #3318C23semidirect
441. #3310C23semidirect
442. #3308C23semidirect
443. #3306C23semidirect
444. #3298C23semidirect
445. #3295C23semidirect
446. #3294C23semidirect
447. #3294C23semidirect
448. D4×SD16C23semidirect
449. D4×D8C23semidirect
450. #3265C23semidirect
451. #3264C23semidirect
452. #3251C23semidirect
453. #3247C23semidirect
454. #3238C23semidirect
455. #3234C23semidirect
456. #3229C23semidirect
457. #3228C23semidirect
458. #3226C23semidirect
459. #3217C23semidirect
460. #3213C23semidirect
461. #3208C23semidirect
462. #3207C23semidirect
463. #3205C23semidirect
464. #3194C23semidirect
465. #3187C23semidirect
466. #3187C23semidirect
467. #3186C23semidirect
468. #3186C23semidirect
469. #3184C23semidirect
470. #3182C23semidirect
471. #3180C23semidirect
472. C2×#501C23semidirect
473. C2×#500C23semidirect
474. C2×#498C23semidirect
475. C2×#496C23semidirect
476. C2×#493C23semidirect
477. C2×#492C23semidirect
478. C2×#490C23semidirect
479. C2×#489C23semidirect
480. C2×#487C23semidirect
481. C2×#486C23semidirect
482. C2×#486C23semidirect
483. C2×#486C23semidirect
484. #3115C23semidirect
485. #3114C23semidirect
486. #3114C23semidirect
487. #3114C23semidirect
488. #3114C23semidirect
489. #3114C23semidirect
490. #3114C23semidirect
491. #3114C23semidirect
492. #3112C23semidirect
493. #3110C23semidirect
494. #3109C23semidirect
495. #3109C23semidirect
496. #3105C23semidirect
497. #3101C23semidirect
498. #3101C23semidirect
500. #3100C23semidirect
501. #3092C23semidirect
502. C2×#484C23semidirect
503. C2×#481C23semidirect
504. C2×#481C23semidirect
505. C2×#481C23semidirect
506. C2×#482C23semidirect
510. C2×#483C23semidirect
511. C2×#483C23semidirect
515. C2×#480C23semidirect
516. C2×#480C23semidirect
517. C2×#480C23semidirect
518. C2×#480C23semidirect
519. #3077C23semidirect
520. C2×#477C23semidirect
521. C2×#475C23semidirect
524. C2×#478C23semidirect
525. C2×#478C23semidirect
526. C2×#478C23semidirect
527. C2×#478C23semidirect
529. C2×#476C23semidirect
530. C2×#476C23semidirect
532. C2×#474C23semidirect
533. C2×#474C23semidirect
534. C2×#469C23semidirect
535. C2×#468C23semidirect
536. C2×#466C23semidirect
537. C2×#466C23semidirect
538. C2×#465C23semidirect
539. C2×#465C23semidirect
540. #3036C23semidirect
541. C2×#460C23semidirect
542. C2×#460C23semidirect
545. C2×#463C23semidirect
546. C2×#463C23semidirect
547. C2×#463C23semidirect
548. C2×#463C23semidirect
550. C2×#461C23semidirect
552. C2×#459C23semidirect
553. C2×#459C23semidirect
554. C2×#459C23semidirect
555. #3003C23semidirect
556. C2×#449C23semidirect
557. C2×#448C23semidirect
558. C2×#448C23semidirect
564. C2×#450C23semidirect
571. C2×#447C23semidirect
572. C2×#447C23semidirect
573. #2990C23semidirect
574. #2983C23semidirect
575. #2973C23semidirect
576. #2972C23semidirect
577. #2972C23semidirect
578. #2970C23semidirect
579. C2×#446C23semidirect
580. C2×#446C23semidirect
581. C4×AGL(1,ℤ/8)C23semidirect
584. C2×#442C23semidirect
585. C2×#442C23semidirect
586. C2×#442C23semidirect
587. C2×#442C23semidirect
590. C2×#440C23semidirect
591. C2×#440C23semidirect
592. C2×#440C23semidirect
593. C2×#440C23semidirect
595. C2×C4×SD16C23semidirect
597. C2×C4×D8C23semidirect
598. C2×#435C23semidirect
599. C2×#435C23semidirect
600. C2×C8×D4C23semidirect
601. C2×C8×D4C23semidirect
602. #2920C23semidirect
605. C2×#432C23semidirect
606. C2×#432C23semidirect
607. C2×#432C23semidirect
608. C2×#432C23semidirect
611. C2×#431C23semidirect
612. C2×#428C23semidirect
613. C22×#107C23semidirect
614. C22×#106C23semidirect
615. C2×#423C23semidirect
616. C22×C4⋊C8C23semidirect
617. C2×#417C23semidirect
619. C22×#103C23semidirect
622. C22×#102C23semidirect
626. C2×C4×M16C23semidirect
627. C22×#97C23semidirect
742. #559C24semidirect
744. #557C24semidirect
748. #556C24semidirect
753. #554C24semidirect
754. #554C24semidirect
758. #553C24semidirect
764. #552C24semidirect
775. D4×Q8C24semidirect
779. #548C24semidirect
789. #547C24semidirect
798. #546C24semidirect
806. D42C24semidirect
825. #533C24semidirect
826. #533C24semidirect
843. #532C24semidirect
844. #532C24semidirect
884. #529C24semidirect
885. #529C24semidirect
886. #529C24semidirect
906. C2×#125C24semidirect
922. C2×#124C24semidirect
1041. C4×#41C24semidirect
1060. C2×C4×Q8C24semidirect
1165. C2×C4×D4C24semidirect
1256. #501C24semidirect
1257. #500C24semidirect
1258. #498C24semidirect
1259. #496C24semidirect
1260. #493C24semidirect
1261. #492C24semidirect
1262. #490C24semidirect
1263. #489C24semidirect
1264. #487C24semidirect
1265. #486C24semidirect
1266. #486C24semidirect
1267. #486C24semidirect
1268. #484C24semidirect
1272. #483C24semidirect
1273. #482C24semidirect
1274. #481C24semidirect
1275. #481C24semidirect
1276. #481C24semidirect
1280. #480C24semidirect
1281. #480C24semidirect
1282. #480C24semidirect
1285. #478C24semidirect
1286. #478C24semidirect
1287. #478C24semidirect
1288. #477C24semidirect
1290. #476C24semidirect
1291. #476C24semidirect
1292. #475C24semidirect
1294. #474C24semidirect
1295. #474C24semidirect
1296. #469C24semidirect
1297. #468C24semidirect
1298. #466C24semidirect
1299. #466C24semidirect
1300. #465C24semidirect
1301. #465C24semidirect
1304. #463C24semidirect
1305. #463C24semidirect
1306. #463C24semidirect
1308. #461C24semidirect
1309. #460C24semidirect
1310. #460C24semidirect
1312. #459C24semidirect
1313. #459C24semidirect
1314. #459C24semidirect
1320. #449C24semidirect
1321. #448C24semidirect
1322. #448C24semidirect
1328. #447C24semidirect
1329. #447C24semidirect
1330. #446C24semidirect
1331. #446C24semidirect
1334. #442C24semidirect
1335. #442C24semidirect
1336. #442C24semidirect
1339. #440C24semidirect
1340. #440C24semidirect
1341. #440C24semidirect
1343. C4×SD16C24semidirect
1345. C4×D8C24semidirect
1346. #435C24semidirect
1347. #435C24semidirect
1348. C8×D4C24semidirect
1349. C8×D4C24semidirect
1352. #432C24semidirect
1353. #432C24semidirect
1354. #432C24semidirect
1357. #431C24semidirect
1358. #428C24semidirect
1362. C2×#107C24semidirect
1366. C2×#106C24semidirect
1367. #423C24semidirect
1372. C2×C4⋊C8C24semidirect
1374. #417C24semidirect
1378. C2×#103C24semidirect
1390. C2×#102C24semidirect
1399. C4×M16C24semidirect
1402. C2×#97C24semidirect
1546. C22×D4AGL(1,ℤ/8)semidirect
2263. C2×D4C2×AGL(1,ℤ/8)semidirect
2756. C2#10580309direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#627812
C22×D4×#412
#105803092
C2×#621372
C2×#619892
C2×#618902
C2×#618272
C2×#617062
C2×#616952
C2×#616942
C2×#615712
C2×#615602
C2×#615592
C2×#614522
C2×#614512
C2×#609652
C2×#609582
C2×#605582
C22×#31142
C2×#602822