Finite Group Databasebeta

← C2×#10580347 #72281784

Subgroups — C2×#10580347 #72281784

Order 1024.

77279 conjugacy classes of subgroups.

The subgroup lattice has 2418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#62800C211yesmaximal, characteristic, complemented
2C22×D4×#41C211yesmaximal, characteristic, complemented
3#10580347C2164yesmaximal, direct product factor
4C2×#62110C216yesmaximal, complemented
5C2×#62096C212yesmaximal, complemented
6C2×#61961C216yesmaximal, complemented
7C2×#61947C212yesmaximal, complemented
8C2×#61907C212yesmaximal, complemented
9C2×#61843C212yesmaximal, complemented
10C2×#61728C216yesmaximal, complemented
11C2×#61591C216yesmaximal, complemented
12C2×#61465C214yesmaximal, complemented
13C2×#61451C2112yesmaximal, complemented
14C2×#60968C213yesmaximal, complemented
15C2×#60962C213yesmaximal, complemented
16C2×#60558C213yesmaximal, complemented
17C22×#3109C213yesmaximal, complemented
18C2×#60283C211yesmaximal, characteristic, complemented
19C24×#41—21no—
20#62800—216no—
21#62800C22132yescomplemented
22C2×#3511C2213yescomplemented
23C2×#3508C2213yescomplemented
24C2×#3494—23no—
25C2×#3503C2211yescharacteristic, complemented
26C2×#3498C2211yescharacteristic, complemented
27C2×#3488—21no—
28C2×#3517—21no—
29C2×#3522C2212yescomplemented
30C2×#3514—23no—
31C2×#3519C2216yescomplemented
32C2×#3483C2212yescomplemented
33C2×#3481C2216yescomplemented
34C2×#3480—21no—
35C2×D4×#41—21no—
36C2×D4×#41—23no—
37C2×D4×#41—21no—
38C2×D4×#41—216no—
39C2×D4×#41—23no—
40C2×D4×#41—23no—
41C2×D4×#41C2212yes—
42C2×D4×#41C2216yescomplemented
43C2×D4×#41C2216yescomplemented
44C2×D4×#41C2212yescomplemented
45C2×D4×#41C22132yescomplemented
46C22×#550C2211yescharacteristic, complemented
47C22×#547C2213yescomplemented
48C22×#548—21no—
49C22×#546—23no—
50C22×D4×Q8C2211yescharacteristic, complemented
51C22×D42C2213yescomplemented
52C2×#3460—23no—
53C2×#3444C2213yescomplemented
54C22×#532C2213yescomplemented
55C22×#532C2213yescomplemented
56C22×#525—23no—
57C2×C4×H(5,𝔽2)—21no—
58C22×C4×#41C2211yescharacteristic
59C23×C4×D4C2213yescomplemented
60#62110C221192yescomplemented
61#62096C22164yescomplemented
62#61961C221192yescomplemented
63#61947C22164yescomplemented
64#61907C22164yescomplemented
65#61843C22164yescomplemented
66#61728C221192yescomplemented
67#61591C221192yescomplemented
68#61465C221128yescomplemented
69#61451C221384yescomplemented
70C2×#3399C22112yescomplemented
71C2×#3391C2214yescomplemented
72C2×#3384C22112yescomplemented
73C2×Q8×SD16C2214yescomplemented
74C2×#3373C22112yescomplemented
75C2×#3366C22112yescomplemented
76C2×#3362C2214yescomplemented
77C2×#3358C2214yescomplemented
78C2×#3354C22112yescomplemented
79C2×#3345C22124yescomplemented
80C2×#3335C22112yescomplemented
81C2×#3332C22112yescomplemented
82C2×#3325C22112yescomplemented
83C2×#3318C22124yescomplemented
84C2×#3306C22124yescomplemented
85C2×#3295C22112yescomplemented
86C2×#3294C22112yescomplemented
87C2×D4×D8C22112yescomplemented
88C2×#3274C22112yescomplemented
89C2×#3264C22124yescomplemented
90#60968C22196yescomplemented
91#60962C22196yescomplemented
92C2×#3253C22112yescomplemented
93C2×#3246C2216yescomplemented
94C2×#3245C2216yescomplemented
95C2×#3235C2216yescomplemented
96C2×#3239C2216yescomplemented
97C2×#3227C2216yescomplemented
98C2×#3227C2216yescomplemented
99C2×#3214C2216yescomplemented
100C2×#3217C2216yescomplemented
101C2×#3205C2216yescomplemented
102C2×#3205C2216yescomplemented
103C2×#3192C22112yescomplemented
104C2×#3188C22112yescomplemented
105C2×#3184C22112yescomplemented
106C2×#3180C22112yescomplemented
107#60558C22196yescomplemented
108C2×#3110C2211yescharacteristic, complemented
109C2×#3110C2213yescomplemented
110C2×#3109C2216yescomplemented
111C2×#3109C2213yescomplemented
112C2×#3109C2216yescomplemented
113C2×#3109C2216yescomplemented
114C2×#3109C2213yescomplemented
115C2×#3109C22112yescomplemented
116C2×#3109C22112yescomplemented
117C2×#3109C22112yescomplemented
118C2×#3109C22196yescomplemented
119C2×#3115C22112yescomplemented
120C2×#3114C22112yescomplemented
121C2×#3105C2216yescomplemented
122C2×#3105C2216yescomplemented
123C2×#3101C2216yescomplemented
124C2×#3100C2216yescomplemented
125C2×#3092C2216yescomplemented
126C22×#481C2216yescomplemented
127C2×#3077C2216yescomplemented
128C22×#476C2216yescomplemented
129C2×#3036C2216yescomplemented
130C22×#459C2216yescomplemented
131C2×#3003C2216yescomplemented
132C22×#447C2216yescomplemented
133#60283C22132yescomplemented
134C2×#2989C2216yescomplemented
135C2×#2988C2212yescomplemented
136C2×#2984C2212yescomplemented
137C2×#2974C2216yescomplemented
138C2×#2971C2212yescomplemented
139C2×#2970C2216yescomplemented
140C2×C4×AGL(1,ℤ/8)C22112yescomplemented
141C22×#442C22112yescomplemented
142C2×#2920C2213yescomplemented
143C22×#432C2213yescomplemented
144C22×H(5,𝔽2)—21no—
145C23×#41—22no—
146C23×#41—26no—
147C23×#41—26no—
148C23×#41—22no—
149C23×#41—232no—
150C23×#41—21no—
151C23×#41—23no—
152C23×#41—23no—
153C23×#41—23no—
154C23×#41—432no—
155C23×#41D411yescharacteristic
156C24×Q8—21no—
157C24×D4—23no—
158C24×D4C2313yes—
159C25×C4—23no—
160C22×AGL(1,ℤ/8)C23112yes—
161C23×D8C23112yes—
162#3522—216no—
163#3522C23132yescomplemented
164#3519—248no—
165#3519C23196yescomplemented
166#3517—232no—
167#3514—296no—
168#3511—224no—
169#3511C23148yescomplemented
170#3508—224no—
171#3508C23148yescomplemented
172#3503—28no—
173#3503C23116yescomplemented
174#3498—28no—
175#3498C23116yescomplemented
176#3494—296no—
177#3488—232no—
178#3483—216no—
179#3483C23132yescomplemented
180#3481—248no—
181#3481C23196yescomplemented
182#3480—232no—
183C2×#559—23no—
184C2×#559C2316yescomplemented
185C2×Q82C2312yescomplemented
186C2×#557—21no—
187C2×#556—23no—
188C2×#555—26no—
189C2×#555C2316yescomplemented
190C2×#554C2316yescomplemented
191C2×#554C2316yescomplemented
192C2×#553—26no—
193C2×#553—26no—
194C2×#553C23112yescomplemented
195C2×#551—212no—
196D4×#41—216no—
197D4×#41—248no—
198D4×#41—216no—
199D4×#41—248no—
200D4×#41—232no—
201D4×#41—296no—
202D4×#41—296no—
203D4×#41—232no—
204D4×#41—296no—
205D4×#41C23132yes—
206D4×#41C23196yescomplemented
207D4×#41C23196yescomplemented
208D4×#41C23132yescomplemented
209C2×#550—22no—
210C2×#550—21no—
211C2×#550—21no—
212C2×#550—23no—
213C2×#550—28no—
214C2×#550—23no—
215C2×#550C2312yes—
216C2×#550C2316yes—
217C2×#550C2316yescomplemented
218C2×#550C23116yescomplemented
219C2×#550C2312yescomplemented
220C2×D4×Q8—21no—
221C2×D4×Q8—23no—
222C2×D4×Q8—28no—
223C2×D4×Q8—23no—
224C2×D4×Q8C2312yes—
225C2×D4×Q8C2316yes—
226C2×D4×Q8C23116yescomplemented
227C2×#548—22no—
228C2×#548—22no—
229C2×#548—22no—
230C2×#548—26no—
231C2×#548—26no—
232C2×#548—232no—
233C2×#548—26no—
234C2×#547—23no—
235C2×#547—23no—
236C2×#547—26no—
237C2×#547—23no—
238C2×#547—224no—
239C2×#547—26no—
240C2×#547C2316yes—
241C2×#547C23112yes—
242C2×#547C2316yes—
243C2×#547C23148yescomplemented
244C2×#546—26no—
245C2×#546—26no—
246C2×#546—26no—
247C2×#546—26no—
248C2×#546—212no—
249C2×#546—26no—
250C2×#546—212no—
251C2×#546—26no—
252C2×#546—296no—
253C2×#546—212no—
254C2×#546C23112yescomplemented
255C2×D42—26no—
256C2×D42—23no—
257C2×D42—23no—
258C2×D42—26no—
259C2×D42—23no—
260C2×D42—224no—
261C2×D42C23112yes—
262C2×D42C2316yes—
263C2×D42C2316yes—
264C2×D42C23148yescomplemented
265C2×D42C2316yescomplemented
266#3460—296no—
267C2×#544—23no—
268C2×#542—26no—
269C2×#542—26no—
270C2×#540—26no—
271C2×#540—26no—
272C2×#538—212no—
273C2×#537—23no—
274C2×#535—23no—
275C2×#535—23no—
276#3444—224no—
277#3444C23148yescomplemented
278C2×#533C2311yescharacteristic
279C2×#533C2313yescomplemented
280C2×#533C2313yescomplemented
281C2×#532—23no—
282C2×#532—23no—
283C2×#532—224no—
284C2×#532—23no—
285C2×#532—23no—
286C2×#532—23no—
287C2×#532—23no—
288C2×#532—23no—
289C2×#532—224no—
290C2×#532—23no—
291C2×#532—26no—
292C2×#532C2316yes—
293C2×#532C2316yes—
294C2×#532C2316yes—
295C2×#532C2316yes—
296C2×#532C2316yes—
297C2×#532C2313yes—
298C2×#532C2313yescomplemented
299C2×#532C23148yescomplemented
300C2×#532C2316yescomplemented
301C2×#532C2313yescomplemented
302C2×#532C2316yescomplemented
303C2×#532C23148yescomplemented
304C22×C4⋊Q8C2313yes—
305C22×C4⋊Q8C2313yescomplemented
306C22×#127C2313yes—
307C22×#127C2313yescomplemented
308C2×#529—23no—
309C2×#529—23no—
310C2×#529—23no—
311C2×#529—23no—
312C2×#529—26no—
313C2×#529C2316yes—
314C2×#529C2316yescomplemented
315C22×#124—23no—
316C22×#124—23no—
317C2×#525—23no—
318C2×#525—23no—
319C2×#525—212no—
320C2×#525—26no—
321C2×#525—26no—
322C2×#525—212no—
323C2×#525—212no—
324C2×#525—26no—
325C2×#525—26no—
326C2×#525—296no—
327C2×#525C2316yes—
328C22×#123—26no—
329C22×C22⋊Q8—23no—
330C22×C22⋊Q8—23no—
331C22×#121—23no—
332C22×#121—23no—
333C22×#121—23no—
334C22×#121—23no—
335C22×#121C2316yes—
336C22×#121C2316yes—
337C22×#120—26no—
338C4×H(5,𝔽2)—232no—
339C2×#520—21no—
340C2×#520—22no—
341C2×#520—23no—
342C2×#518—26no—
343C2×#518—23no—
344C2×C4×#41—23no—
345C2×C4×#41—23no—
346C2×C4×#41—22no—
347C2×C4×#41D413yes—
348C2×C4×#41D411yescharacteristic
349C2×C4×#41D4116yes—
350C2×C4×#41D411yescharacteristic
351C2×C4×#41D413yes—
352C2×C4×#41C2313yes—
353C2×C4×#41C2311yescharacteristic
354C2×C4×#41C2311yescharacteristic
355C2×C4×#41C2313yes—
356C2×C4×#41C23116yes—
357C2×C4×#41C2316yescomplemented
358C22×C4×Q8D411yescharacteristic
359C22×C4×Q8C2311yescharacteristic
360C22×C4×D4—23no—
361C22×C4×D4—23no—
362C22×C4×D4—23no—
363C22×C4×D4—23no—
364C22×C4×D4—23no—
365C22×C4×D4—23no—
366C22×C4×D4—224no—
367C22×C4×D4—23no—
368C22×C4×D4—23no—
369C22×C4×D4—26no—
370C22×C4×D4D413yes—
371C22×C4×D4C2316yes—
372C22×C4×D4C2316yes—
373C22×C4×D4C2313yes—
374C22×C4×D4C2313yes—
375C22×C4×D4C2316yes—
376C22×C4×D4C2311yescharacteristic
377C22×C4×D4C2313yes—
378C22×C4×D4C2316yes—
379C22×C4×D4C2313yes—
380C22×C4×D4C23148yescomplemented
381C22×C4×D4C2316yescomplemented
382C22×#117D413yes—
383C23×C4⋊C4C2313yes—
384C23×C22⋊C4—23no—
385C23×C42C2313yes—
386#3399C231192yescomplemented
387#3391C23164yescomplemented
388#3384C231192yescomplemented
389Q8×SD16C23164yescomplemented
390#3373C231192yescomplemented
391#3366C231192yescomplemented
392#3362C23164yescomplemented
393#3358C23164yescomplemented
394#3354C231192yescomplemented
395#3345C231384yescomplemented
396#3335C231192yescomplemented
397#3332C231192yescomplemented
398#3325C231192yescomplemented
399#3318C231384yescomplemented
400#3306C231384yescomplemented
401#3295C231192yescomplemented
402#3294C231192yescomplemented
403D4×D8C231192yescomplemented
404#3274C231192yescomplemented
405#3264C231384yescomplemented
406#3253C231192yescomplemented
407#3246C23196yescomplemented
408#3245C23196yescomplemented
409#3239C23196yescomplemented
410#3235C23196yescomplemented
411#3227C23196yescomplemented
412#3227C23196yescomplemented
413#3217C23196yescomplemented
414#3214C23196yescomplemented
415#3205C23196yescomplemented
416#3205C23196yescomplemented
417#3192C231192yescomplemented
418#3188C231192yescomplemented
419#3184C231192yescomplemented
420#3180C231192yescomplemented
421C2×#501C23112yescomplemented
422C2×#498C23112yescomplemented
423C2×#496C23112yescomplemented
424C2×#493C23112yescomplemented
425C2×#490C23112yescomplemented
426C2×#489C23112yescomplemented
427C2×#486C23112yescomplemented
428C2×#486C23112yescomplemented
429#3115C231192yescomplemented
430#3114C231192yescomplemented
431#3110C23116yescomplemented
432#3110C23148yescomplemented
433#3109C23148yescomplemented
434#3109C23196yescomplemented
435#3109C23196yescomplemented
436#3109C23196yescomplemented
437#3109C23148yescomplemented
438#3109C231192yescomplemented
439#3109C231192yescomplemented
440#3109C231192yescomplemented
441#3105C23196yescomplemented
442#3105C23196yescomplemented
443#3101C23196yescomplemented
444#3100C23196yescomplemented
445#3092C23196yescomplemented
446C2×#484C2316yes—
447C2×#484C2312yes—
448C2×#481C23112yes—
449C2×#481C2316yes—
450C2×#481C2316yes—
451C2×#481C23124yescomplemented
452C2×#481C23124yescomplemented
453C2×#481C23196yescomplemented
454C2×#482C23124yescomplemented
455C2×#483C23112yescomplemented
456C2×#480C23112yescomplemented
457#3077C23196yescomplemented
458C2×#475C23112yescomplemented
459C2×#478C23112yes—
460C2×#478C23112yescomplemented
461C2×#476C2316yes—
462C2×#476C23112yes—
463C2×#476C23112yescomplemented
464C2×#476C23124yescomplemented
465C2×#476C23112yescomplemented
466C2×#476C2316yescomplemented
467C2×#476C23196yescomplemented
468C2×#474C2312yes—
469C2×#474C23112yescomplemented
470C2×#474C2316yescomplemented
471C2×#469C23124yescomplemented
472C2×#469C23124yescomplemented
473C2×#466C23124yescomplemented
474C2×#465C23124yescomplemented
475#3036C23196yescomplemented
476C2×#460C23112yescomplemented
477C2×#463C23112yes—
478C2×#463C23112yescomplemented
479C2×#461C2312yes—
480C2×#461C2316yescomplemented
481C2×#459C23112yes—
482C2×#459C2316yes—
483C2×#459C23124yescomplemented
484C2×#459C2316yescomplemented
485C2×#459C23112yescomplemented
486C2×#459C23112yescomplemented
487C2×#459C23112yescomplemented
488C2×#459C23196yescomplemented
489#3003C23196yescomplemented
490C2×#449C23124yescomplemented
491C2×#450C2316yes—
492C2×#450C23112yes—
493C2×#450C2312yes—
494C2×#447C23112yes—
495C2×#447C2316yes—
496C2×#447C23124yes—
497C2×#447C23112yes—
498C2×#447C2316yes—
499C2×#447C23196yescomplemented
500C2×#447C23124yescomplemented
501#2989C23196yescomplemented
502#2988C23132yescomplemented
503#2984C23132yescomplemented
504#2974C23196yescomplemented
505#2971C23132yescomplemented
506#2970C23196yescomplemented
507C2×#446C23112yescomplemented
508C2×C8×Q8C2314yescomplemented
509C4×AGL(1,ℤ/8)C231192yescomplemented
510C2×#442C23124yes—
511C2×#442C23112yes—
512C2×#442C23124yescomplemented
513C2×#442C23112yescomplemented
514C2×#442C23124yescomplemented
515C2×#442C231192yescomplemented
516C2×#440C2314yes—
517C2×#440C23112yescomplemented
518C2×C4×SD16C23112yes—
519C2×C4×SD16C23112yescomplemented
520C2×C4×D8C23112yes—
521C2×C4×D8C23112yescomplemented
522C2×#436C23112yescomplemented
523C2×#435C23124yescomplemented
524C2×C8×D4C23112yescomplemented
525#2920C23148yescomplemented
526C2×#432C2316yes—
527C2×#432C2313yes—
528C2×#432C2311yescharacteristic
529C2×#432C2316yescomplemented
530C2×#432C2316yescomplemented
531C2×#432C2316yescomplemented
532C2×#432C23148yescomplemented
533C2×#431C2316yes—
534C2×#431C2316yescomplemented
535C2×#428C23112yescomplemented
536C22×#106C23112yescomplemented
537C2×#423C2316yescomplemented
538C22×C4⋊C8C2316yescomplemented
539C2×#417C23112yescomplemented
540C2×#418C23112yes—
541C22×#102C23112yes—
542C22×#102C23112yescomplemented
543C2×#407C2316yes—
544C22×C22⋊C8C2316yes—
545C2×C4×M16C2316yescomplemented
546C22×#97C2316yescomplemented
547C26—23no—
548C2×H(5,𝔽2)—216no—
549C2×H(5,𝔽2)—416no—
550C22×#41—216no—
551C22×#41—232no—
552C22×#41—296no—
553C22×#41—296no—
554C22×#41—232no—
555C22×#41—26no—
556C22×#41—22no—
557C22×#41—216no—
558C22×#41—22no—
559C22×#41—212no—
560C22×#41—26no—
561C22×#41—26no—
562C22×#41—248no—
563C22×#41—26no—
564C22×#41—26no—
565C22×#41—26no—
566C22×#41—26no—
567C22×#41—248no—
568C22×#41—23no—
569C22×#41—23no—
570C22×#41—26no—
571C22×#41—26no—
572C22×#41—26no—
573C22×#41—248no—
574C22×#41—448no—
575C22×#41—448no—
576C22×#41—416no—
577C22×#41—4512no—
578C22×#41—432no—
579C22×#41—496no—
580C22×#41—496no—
581C22×#41—432no—
582C22×#41—824no—
583C22×#41C2×D413yes—
584C22×#41C2×D413yes—
585C22×#41C2×D411yescharacteristic
586C22×#41C2×D4116yes—
587C22×#41C2×D411yescharacteristic
588C22×#41C2416yes—
589C23×Q8—26no—
590C23×Q8—22no—
591C23×Q8—216no—
592C23×Q8—23no—
593C23×Q8—23no—
594C23×Q8—416no—
595C23×Q8C2×D411yescharacteristic
596C23×D4—26no—
597C23×D4—26no—
598C23×D4—212no—
599C23×D4—26no—
600C23×D4—26no—
601C23×D4—248no—
602C23×D4—26no—
603C23×D4—23no—
604C23×D4—23no—
605C23×D4—23no—
606C23×D4—23no—
607C23×D4—212no—
608C23×D4—23no—
609C23×D4—23no—
610C23×D4—23no—
611C23×D4—424no—
612C23×D4—448no—
613C23×D4C2×D413yes—
614C23×D4C2411yescharacteristic
615C23×D4C2416yes—
616C23×D4C2416yes—
617C23×D4C2413yes—
618C23×D4C24124yes—
619C23×D4C2416yes—
620C24×C4—23no—
621C24×C4—21no—
622C24×C4—23no—
623C24×C4—23no—
624C24×C4—23no—
625C24×C4—26no—
626C24×C4—26no—
627C24×C4—26no—
628C24×C4—26no—
629C24×C4—248no—
630C24×C4—26no—
631C24×C4—448no—
632C24×C4C2×D413yes—
633C24×C4C2×D413yes—
634C24×C4C2413yes—
635C2×AGL(1,ℤ/8)—448no—
636C2×AGL(1,ℤ/8)C24196yes—
637C22×SD16C2414yes—
638C22×SD16C24112yes—
639C22×D8—448no—
640C22×D8C24112yes—
641C22×D8C24112yes—
642C22×D8C24124yes—
643C22×D8C24196yes—
644C22×M16C24112yes—
645C23×C8C24112yes—
646#559—248no—
647#559—224no—
648#559C24148yescomplemented
649Q82—28no—
650Q82C24116yescomplemented
651#557—216no—
652#556—248no—
653#555—224no—
654#555—296no—
655#555C24148yescomplemented
656#554—224no—
657#554—224no—
658#554C24148yescomplemented
659#554C24148yescomplemented
660#553—248no—
661#553—296no—
662#553—296no—
663#553C24196yescomplemented
664#551—2192no—
665#550—232no—
666#550—28no—
667#550—224no—
668#550—216no—
669#550—248no—
670#550—216no—
671#550—28no—
672#550—248no—
673#550—224no—
674#550C24116yes—
675#550C24148yes—
676#550C24148yescomplemented
677#550C24116yescomplemented
678D4×Q8—28no—
679D4×Q8—224no—
680D4×Q8—216no—
681D4×Q8—248no—
682D4×Q8—248no—
683D4×Q8C24116yes—
684D4×Q8C24148yes—
685#548—232no—
686#548—232no—
687#548—232no—
688#548—296no—
689#548—296no—
690#548—296no—
691#547—224no—
692#547—248no—
693#547—224no—
694#547—248no—
695#547—296no—
696#547—248no—
697#547—248no—
698#547—296no—
699#547C24148yes—
700#547C24148yes—
701#547C24196yes—
702#546—296no—
703#546—296no—
704#546—296no—
705#546—2192no—
706#546—296no—
707#546—2192no—
708#546—296no—
709#546—296no—
710#546—248no—
711#546—2192no—
712#546C24196yescomplemented
713D42—296no—
714D42—224no—
715D42—248no—
716D42—224no—
717D42—248no—
718D42—296no—
719D42—248no—
720D42—248no—
721D42—224no—
722D42C24148yes—
723D42C24196yes—
724D42C24148yes—
725D42C24148yescomplemented
726#544—248no—
727#542—296no—
728#542—296no—
729#540—296no—
730#540—296no—
731#538—2192no—
732#537—248no—
733#535—248no—
734#535—248no—
735#533—24no—
736#533—212no—
737#533—212no—
738#533C2418yes—
739#533C24124yescomplemented
740#533C24124yescomplemented
741#532—296no—
742#532—212no—
743#532—224no—
744#532—224no—
745#532—224no—
746#532—224no—
747#532—224no—
748#532—248no—
749#532—248no—
750#532—248no—
751#532—248no—
752#532—248no—
753#532—248no—
754#532—224no—
755#532—248no—
756#532—224no—
757#532—248no—
758#532—212no—
759#532—212no—
760#532C24124yes—
761#532C24148yes—
762#532C24148yes—
763#532C24148yes—
764#532C24148yes—
765#532C24148yes—
766#532C24124yescomplemented
767#532C24124yescomplemented
768#532C24148yescomplemented
769#532C24148yescomplemented
770C2×C4⋊Q8—26no—
771C2×C4⋊Q8—23no—
772C2×C4⋊Q8—23no—
773C2×C4⋊Q8—212no—
774C2×C4⋊Q8—23no—
775C2×C4⋊Q8—23no—
776C2×C4⋊Q8—212no—
777C2×C4⋊Q8C2411yescharacteristic
778C2×C4⋊Q8C2416yes—
779C2×C4⋊Q8C2416yes—
780C2×C4⋊Q8C2416yes—
781C2×C4⋊Q8C24124yes—
782C2×C4⋊Q8C2413yes—
783C2×C4⋊Q8C2411yescharacteristic
784C2×C4⋊Q8C24124yescomplemented
785C2×#127—26no—
786C2×#127—23no—
787C2×#127—23no—
788C2×#127—212no—
789C2×#127—23no—
790C2×#127—23no—
791C2×#127—212no—
792C2×#127C2416yes—
793C2×#127C2416yes—
794C2×#127C2416yes—
795C2×#127C24124yes—
796C2×#127C2413yes—
797C2×#127C24124yescomplemented
798#529—296no—
799#529—248no—
800#529—248no—
801#529—248no—
802#529—248no—
803#529—224no—
804#529—224no—
805#529C24148yes—
806#529C24148yescomplemented
807C2×#126—212no—
808C2×#126—26no—
809C2×#126—26no—
810C2×#125—26no—
811C2×#125—21no—
812C2×#125—23no—
813C2×#125C2416yes—
814C2×#124—26no—
815C2×#124—212no—
816C2×#124—23no—
817C2×#124—26no—
818C2×#124—26no—
819C2×#124—26no—
820C2×#124—26no—
821C2×#124—26no—
822C2×#124—248no—
823C2×#124—26no—
824C2×#124—26no—
825C2×#124—248no—
826C2×#124—23no—
827C2×#124C2416yes—
828#525—248no—
829#525—248no—
830#525—224no—
831#525—2192no—
832#525—296no—
833#525—296no—
834#525—2192no—
835#525—2192no—
836#525—296no—
837#525—296no—
838#525C24148yes—
839C2×#123—26no—
840C2×#123—26no—
841C2×#123—26no—
842C2×#123—212no—
843C2×#123—212no—
844C2×#123—212no—
845C2×#123—212no—
846C2×#123—212no—
847C2×#123—212no—
848C2×#123—296no—
849C2×#123—212no—
850C2×C22⋊Q8—26no—
851C2×C22⋊Q8—21no—
852C2×C22⋊Q8—23no—
853C2×C22⋊Q8—23no—
854C2×C22⋊Q8—23no—
855C2×C22⋊Q8—26no—
856C2×C22⋊Q8—26no—
857C2×C22⋊Q8—212no—
858C2×C22⋊Q8—248no—
859C2×C22⋊Q8—26no—
860C2×C22⋊Q8—26no—
861C2×C22⋊Q8—212no—
862C2×C22⋊Q8—248no—
863C2×C22⋊Q8—212no—
864C2×C22⋊Q8—212no—
865C2×C22⋊Q8C2416yes—
866C2×C22⋊Q8C2412yes—
867C2×#121—212no—
868C2×#121—26no—
869C2×#121—23no—
870C2×#121—26no—
871C2×#121—26no—
872C2×#121—26no—
873C2×#121—26no—
874C2×#121—26no—
875C2×#121—26no—
876C2×#121—248no—
877C2×#121—26no—
878C2×#121—248no—
879C2×#121—26no—
880C2×#121—26no—
881C2×#121—26no—
882C2×#121—224no—
883C2×#121—26no—
884C2×#121—224no—
885C2×#121—23no—
886C2×#121—23no—
887C2×#121—23no—
888C2×#121—26no—
889C2×#121—26no—
890C2×#121—212no—
891C2×#121—248no—
892C2×#121—26no—
893C2×#121—26no—
894C2×#121—212no—
895C2×#121—248no—
896C2×#121—26no—
897C2×#121—26no—
898C2×#121—212no—
899C2×#121—212no—
900C2×#121C2416yes—
901C2×#121C24112yes—
902C2×#121C2416yes—
903C2×#121C24112yes—
904C2×#121C24148yes—
905C2×#121C24112yes—
906C2×#121C24148yes—
907C2×#120—26no—
908C2×#120—212no—
909C2×#120—212no—
910C2×#120—212no—
911C2×#120—212no—
912C2×#120—212no—
913C2×#120—296no—
914C2×#120—212no—
915#520—216no—
916#520—232no—
917#520—248no—
918#518—296no—
919#518—248no—
920C4×#41—232no—
921C4×#41—248no—
922C4×#41—248no—
923C4×#41—224no—
924C4×#41C2×D4116yes—
925C4×#41C2×D4148yes—
926C4×#41C2×D4124yes—
927C4×#41C2×D418yes—
928C4×#41C2×D418yes—
929C4×#41C2×D4124yes—
930C4×#41C2×D4148yes—
931C4×#41C2×D4116yes—
932C4×#41C2418yes—
933C4×#41C24124yes—
934C4×#41C2418yes—
935C4×#41C24124yes—
936C4×#41C24148yescomplemented
937C2×C4×Q8—22no—
938C2×C4×Q8—21no—
939C2×C4×Q8—23no—
940C2×C4×Q8—23no—
941C2×C4×Q8—23no—
942C2×C4×Q8C2×D411yescharacteristic
943C2×C4×Q8C2×D413yes—
944C2×C4×Q8C2×D411yescharacteristic
945C2×C4×Q8C2×D413yes—
946C2×C4×Q8C2×D4116yes—
947C2×C4×Q8C2×D411yescharacteristic
948C2×C4×Q8C2×D413yes—
949C2×C4×Q8C2×D418yes—
950C2×C4×Q8C2416yes—
951C2×C4×Q8C2412yes—
952C2×C4×Q8C2411yescharacteristic
953C2×C4×Q8C2413yes—
954C2×C4×Q8C2418yes—
955C2×C4×D4—26no—
956C2×C4×D4—26no—
957C2×C4×D4—26no—
958C2×C4×D4—26no—
959C2×C4×D4—26no—
960C2×C4×D4—26no—
961C2×C4×D4—26no—
962C2×C4×D4—296no—
963C2×C4×D4—26no—
964C2×C4×D4—26no—
965C2×C4×D4—212no—
966C2×C4×D4—21no—
967C2×C4×D4—21no—
968C2×C4×D4—24no—
969C2×C4×D4—26no—
970C2×C4×D4—26no—
971C2×C4×D4—26no—
972C2×C4×D4—26no—
973C2×C4×D4—23no—
974C2×C4×D4—23no—
975C2×C4×D4—212no—
976C2×C4×D4—23no—
977C2×C4×D4—23no—
978C2×C4×D4—212no—
979C2×C4×D4—26no—
980C2×C4×D4—26no—
981C2×C4×D4—26no—
982C2×C4×D4—26no—
983C2×C4×D4—23no—
984C2×C4×D4—23no—
985C2×C4×D4—212no—
986C2×C4×D4—224no—
987C2×C4×D4—224no—
988C2×C4×D4—224no—
989C2×C4×D4—224no—
990C2×C4×D4—248no—
991C2×C4×D4—248no—
992C2×C4×D4—248no—
993C2×C4×D4—248no—
994C2×C4×D4—248no—
995C2×C4×D4—248no—
996C2×C4×D4—23no—
997C2×C4×D4—26no—
998C2×C4×D4—26no—
999C2×C4×D4—26no—
1000C2×C4×D4—248no—
1001C2×C4×D4—26no—
1002C2×C4×D4—26no—
1003C2×C4×D4—26no—
1004C2×C4×D4—26no—
1005C2×C4×D4—248no—
1006C2×C4×D4—26no—
1007C2×C4×D4—26no—
1008C2×C4×D4—224no—
1009C2×C4×D4—23no—
1010C2×C4×D4—23no—
1011C2×C4×D4—23no—
1012C2×C4×D4C2×D413yes—
1013C2×C4×D4C2×D416yes—
1014C2×C4×D4C2×D413yes—
1015C2×C4×D4C2×D413yes—
1016C2×C4×D4C2×D416yes—
1017C2×C4×D4C2×D413yes—
1018C2×C4×D4C2×D4148yes—
1019C2×C4×D4C2×D413yes—
1020C2×C4×D4C2×D416yes—
1021C2×C4×D4C2×D413yes—
1022C2×C4×D4C2×D4124yes—
1023C2×C4×D4C2416yes—
1024C2×C4×D4C2416yes—
1025C2×C4×D4C24148yes—
1026C2×C4×D4C24148yes—
1027C2×C4×D4C24124yes—
1028C2×C4×D4C24124yes—
1029C2×C4×D4C2418yes—
1030C2×C4×D4C24124yes—
1031C2×C4×D4C24148yes—
1032C2×C4×D4C24148yes—
1033C2×C4×D4C2412yes—
1034C2×C4×D4C2412yes—
1035C2×C4×D4C2416yes—
1036C2×C4×D4C2416yes—
1037C2×C4×D4C2416yes—
1038C2×C4×D4C2416yes—
1039C2×C4×D4C2416yes—
1040C2×C4×D4C24112yes—
1041C2×C4×D4C2416yes—
1042C2×C4×D4C2413yes—
1043C2×C4×D4C2416yes—
1044C2×C4×D4C2413yes—
1045C2×C4×D4C24124yes—
1046C2×C4×D4C24148yescomplemented
1047C2×#117—21no—
1048C2×#117—23no—
1049C2×#117—26no—
1050C2×#117—26no—
1051C2×#117—26no—
1052C2×#117—26no—
1053C2×#117C2×D413yes—
1054C2×#117C2×D413yes—
1055C2×#117C2×D416yes—
1056C2×#117C2×D416yes—
1057C2×#117C2×D413yes—
1058C2×#117C2×D413yes—
1059C2×#117C2×D4148yes—
1060C2×#117C2416yes—
1061C22×C4⋊C4—23no—
1062C22×C4⋊C4—23no—
1063C22×C4⋊C4—23no—
1064C22×C4⋊C4—212no—
1065C22×C4⋊C4—23no—
1066C22×C4⋊C4—23no—
1067C22×C4⋊C4—26no—
1068C22×C4⋊C4C2×D413yes—
1069C22×C4⋊C4C2×D413yes—
1070C22×C4⋊C4C2416yes—
1071C22×C4⋊C4C2411yescharacteristic
1072C22×C4⋊C4C2413yes—
1073C22×C4⋊C4C24124yes—
1074C22×C4⋊C4C2416yes—
1075C22×C4⋊C4C2416yes—
1076C22×C22⋊C4—21no—
1077C22×C22⋊C4—23no—
1078C22×C22⋊C4—23no—
1079C22×C22⋊C4—23no—
1080C22×C22⋊C4—26no—
1081C22×C22⋊C4—26no—
1082C22×C22⋊C4—26no—
1083C22×C22⋊C4—26no—
1084C22×C22⋊C4—248no—
1085C22×C22⋊C4—26no—
1086C22×C22⋊C4—26no—
1087C22×C22⋊C4—26no—
1088C22×C22⋊C4—212no—
1089C22×C22⋊C4C2×D416yes—
1090C22×C42—26no—
1091C22×C42C2×D413yes—
1092C22×C42C2×D413yes—
1093C22×C42C2×D413yes—
1094C22×C42C2×D413yes—
1095C22×C42C2×D413yes—
1096C22×C42C2×D413yes—
1097C22×C42C2×D4124yes—
1098C22×C42C2413yes—
1099C22×C42C2413yes—
1100C22×C42C2413yes—
1101C22×C42C2413yes—
1102C22×C42C2411yescharacteristic
1103C22×C42C2413yes—
1104C22×C42C24124yes—
1105#501C24196yescomplemented
1106#498C24196yescomplemented
1107#496C24196yescomplemented
1108#493C24196yescomplemented
1109#490C24196yescomplemented
1110#489C24196yescomplemented
1111#486C24196yescomplemented
1112#486C24196yescomplemented
1113#484C24116yes—
1114#484C24148yes—
1115#483C24196yescomplemented
1116#482C241192yescomplemented
1117#481C24148yes—
1118#481C24196yes—
1119#481C24148yes—
1120#481C241192yescomplemented
1121#481C241192yescomplemented
1122#480C24196yescomplemented
1123#478C24196yes—
1124#478C24196yescomplemented
1125#476C24148yes—
1126#476C24196yes—
1127#476C24148yescomplemented
1128#476C24196yescomplemented
1129#476C241192yescomplemented
1130#476C24196yescomplemented
1131#475C24196yescomplemented
1132#474C24116yes—
1133#474C24148yescomplemented
1134#474C24196yescomplemented
1135#469C241192yescomplemented
1136#469C241192yescomplemented
1137#466C241192yescomplemented
1138#465C241192yescomplemented
1139#463C24196yes—
1140#463C24196yescomplemented
1141#461C24116yes—
1142#461C24148yescomplemented
1143#460C24196yescomplemented
1144#459C24148yes—
1145#459C24196yes—
1146#459C24196yescomplemented
1147#459C24148yescomplemented
1148#459C24196yescomplemented
1149#459C241192yescomplemented
1150#459C24196yescomplemented
1151#450C24196yes—
1152#450C24116yes—
1153#450C24148yes—
1154#449C241192yescomplemented
1155#447C24196yes—
1156#447C24148yes—
1157#447C24148yes—
1158#447C24196yes—
1159#447C241192yes—
1160#447C241192yescomplemented
1161#446C24196yescomplemented
1162C8×Q8C24132yescomplemented
1163#442C24196yes—
1164#442C241192yes—
1165#442C241192yescomplemented
1166#442C24196yescomplemented
1167#442C241192yescomplemented
1168#440C24132yes—
1169#440C24196yescomplemented
1170C4×SD16C24196yes—
1171C4×SD16C24196yescomplemented
1172C4×D8C24196yes—
1173C4×D8C24196yescomplemented
1174#436C24196yescomplemented
1175#435C241192yescomplemented
1176C8×D4C24196yescomplemented
1177#432C24124yes—
1178#432C2418yes—
1179#432C24148yes—
1180#432C24148yescomplemented
1181#432C24148yescomplemented
1182#432C24148yescomplemented
1183#431C24148yes—
1184#431C24148yescomplemented
1185#428C24196yescomplemented
1186C2×#107C24112yes—
1187C2×#107C2414yes—
1188C2×#106C24112yes—
1189C2×#106C24112yes—
1190C2×#106C24124yes—
1191C2×#106C24196yescomplemented
1192#423C24148yescomplemented
1193C2×C4⋊C8C24112yes—
1194C2×C4⋊C8C24112yes—
1195C2×C4⋊C8C2416yes—
1196C2×C4⋊C8C2412yes—
1197C2×C4⋊C8C24148yescomplemented
1198#418C24196yes—
1199#417C24196yescomplemented
1200C2×#103C24112yes—
1201C2×#103C2414yes—
1202C2×#102C2414yes—
1203C2×#102C24112yes—
1204C2×#102C24112yes—
1205C2×#102C24112yes—
1206C2×#102C24112yes—
1207C2×#102C24112yes—
1208C2×#102C24124yes—
1209C2×#102C24124yes—
1210C2×#102C24196yes—
1211C2×#102C24196yescomplemented
1212#407C24148yes—
1213C2×C22⋊C8C24112yes—
1214C2×C22⋊C8C24112yes—
1215C2×C22⋊C8C2416yes—
1216C2×C22⋊C8C2412yes—
1217C2×C22⋊C8C24148yes—
1218C4×M16C24148yescomplemented
1219C2×#97C2416yes—
1220C2×#97C24112yes—
1221C2×#97C2412yes—
1222C2×#97C24148yescomplemented
1223C2×C4×C8C24112yes—
1224C25—21no—
1225C25—23no—
1226C25—224no—
1227C25—26no—
1228C25—26no—
1229C25—26no—
1230C25—424no—
1231C25—424no—
1232C25—812no—
1233C25C22×D413yes—
1234H(5,𝔽2)—4128no—
1235C2×#41—2128no—
1236C2×#41—28no—
1237C2×#41—216no—
1238C2×#41—248no—
1239C2×#41—216no—
1240C2×#41—224no—
1241C2×#41—296no—
1242C2×#41—248no—
1243C2×#41—248no—
1244C2×#41—224no—
1245C2×#41—224no—
1246C2×#41—224no—
1247C2×#41—248no—
1248C2×#41—248no—
1249C2×#41—248no—
1250C2×#41—248no—
1251C2×#41—212no—
1252C2×#41—248no—
1253C2×#41—248no—
1254C2×#41—248no—
1255C2×#41—448no—
1256C2×#41—4384no—
1257C2×#41—448no—
1258C2×#41—448no—
1259C2×#41—424no—
1260C2×#41—424no—
1261C2×#41—4384no—
1262C2×#41—496no—
1263C2×#41—448no—
1264C2×#41—4128no—
1265C2×#41—448no—
1266C2×#41—4256no—
1267C2×#41—4768no—
1268C2×#41—4768no—
1269C2×#41—4256no—
1270C2×#41—416no—
1271C2×#41—416no—
1272C2×#41—448no—
1273C2×#41—448no—
1274C2×#41—424no—
1275C2×#41—824no—
1276C2×#41—824no—
1277C2×#41—824no—
1278C2×#41—8192no—
1279C2×#41AGL(1,ℤ/8)116yescomplemented
1280C2×#41C22×D4124yes—
1281C2×#41C22×D4124yes—
1282C2×#41C22×D418yes—
1283C2×#41C22×D418yes—
1284C2×#41C25124yes—
1285C22×Q8—28no—
1286C22×Q8—248no—
1287C22×Q8—216no—
1288C22×Q8—21no—
1289C22×Q8—23no—
1290C22×Q8—224no—
1291C22×Q8—26no—
1292C22×Q8—26no—
1293C22×Q8—26no—
1294C22×Q8—224no—
1295C22×Q8—424no—
1296C22×Q8—4128no—
1297C22×Q8—448no—
1298C22×Q8—416no—
1299C22×Q8—812no—
1300C22×Q8C22×D413yes—
1301C22×Q8C22×D418yes—
1302C22×Q8C22×D411yescharacteristic
1303C22×Q8C2512yes—
1304C22×D4—224no—
1305C22×D4—28no—
1306C22×D4—224no—
1307C22×D4—224no—
1308C22×D4—26no—
1309C22×D4—26no—
1310C22×D4—248no—
1311C22×D4—212no—
1312C22×D4—212no—
1313C22×D4—26no—
1314C22×D4—212no—
1315C22×D4—248no—
1316C22×D4—248no—
1317C22×D4—296no—
1318C22×D4—248no—
1319C22×D4—248no—
1320C22×D4—22no—
1321C22×D4—21no—
1322C22×D4—26no—
1323C22×D4—26no—
1324C22×D4—224no—
1325C22×D4—26no—
1326C22×D4—23no—
1327C22×D4—26no—
1328C22×D4—23no—
1329C22×D4—212no—
1330C22×D4—212no—
1331C22×D4—224no—
1332C22×D4—224no—
1333C22×D4—224no—
1334C22×D4—23no—
1335C22×D4—224no—
1336C22×D4—26no—
1337C22×D4—26no—
1338C22×D4—224no—
1339C22×D4—26no—
1340C22×D4—26no—
1341C22×D4—26no—
1342C22×D4—212no—
1343C22×D4—26no—
1344C22×D4—224no—
1345C22×D4—412no—
1346C22×D4—412no—
1347C22×D4—412no—
1348C22×D4—424no—
1349C22×D4—424no—
1350C22×D4—496no—
1351C22×D4—496no—
1352C22×D4—424no—
1353C22×D4—424no—
1354C22×D4—496no—
1355C22×D4—4384no—
1356C22×D4—448no—
1357C22×D4—424no—
1358C22×D4—448no—
1359C22×D4—448no—
1360C22×D4—448no—
1361C22×D4—424no—
1362C22×D4—812no—
1363C22×D4—812no—
1364C22×D4—824no—
1365C22×D4C22×D416yes—
1366C22×D4C22×D413yes—
1367C22×D4C22×D4124yes—
1368C22×D4C22×D413yes—
1369C22×D4C2514yes—
1370C22×D4C2516yes—
1371C22×D4C2516yes—
1372C22×D4C25124yes—
1373C22×D4C25124yes—
1374C22×D4C2512yes—
1375C22×D4C25112yes—
1376C22×D4C25124yes—
1377C23×C4—224no—
1378C23×C4—21no—
1379C23×C4—23no—
1380C23×C4—224no—
1381C23×C4—26no—
1382C23×C4—26no—
1383C23×C4—26no—
1384C23×C4—26no—
1385C23×C4—26no—
1386C23×C4—28no—
1387C23×C4—22no—
1388C23×C4—22no—
1389C23×C4—224no—
1390C23×C4—26no—
1391C23×C4—26no—
1392C23×C4—224no—
1393C23×C4—26no—
1394C23×C4—26no—
1395C23×C4—224no—
1396C23×C4—26no—
1397C23×C4—26no—
1398C23×C4—248no—
1399C23×C4—248no—
1400C23×C4—248no—
1401C23×C4—248no—
1402C23×C4—26no—
1403C23×C4—212no—
1404C23×C4—248no—
1405C23×C4—412no—
1406C23×C4—412no—
1407C23×C4—48no—
1408C23×C4—424no—
1409C23×C4—448no—
1410C23×C4—424no—
1411C23×C4—424no—
1412C23×C4—4384no—
1413C23×C4—448no—
1414C23×C4—448no—
1415C23×C4—424no—
1416C23×C4—448no—
1417C23×C4—824no—
1418C23×C4C22×D411yescharacteristic
1419C23×C4C22×D413yes—
1420C23×C4C22×D413yes—
1421C23×C4C22×D413yes—
1422C23×C4C22×D413yes—
1423C23×C4C22×D413yes—
1424C23×C4C22×D4124yes—
1425C23×C4C22×D411yescharacteristic
1426C23×C4C22×D413yes—
1427C23×C4C22×D413yes—
1428C23×C4C22×D413yes—
1429C23×C4C22×D413yes—
1430C23×C4C22×D413yes—
1431C23×C4C22×D413yes—
1432C23×C4C22×D4124yes—
1433C23×C4C22×D413yes—
1434C23×C4C22×D4112yes—
1435C23×C4C22×D413yes—
1436C23×C4C2513yes—
1437C23×C4C2511yescharacteristic
1438C23×C4C2513yes—
1439C23×C4C25112yes—
1440AGL(1,ℤ/8)—4192no—
1441C2×SD16—216no—
1442C2×SD16—424no—
1443C2×SD16C25116yes—
1444C2×SD16C25148yes—
1445C2×D8—248no—
1446C2×D8—448no—
1447C2×D8—424no—
1448C2×D8—4192no—
1449C2×D8C25148yes—
1450C2×D8C25196yes—
1451C2×D8C25148yes—
1452C2×M16—424no—
1453C2×M16C25148yes—
1454C22×C8—424no—
1455C22×C8C25112yes—
1456C22×C8C2514yes—
1457C22×C8C25148yes—
1458C4⋊Q8—248no—
1459C4⋊Q8—26no—
1460C4⋊Q8—224no—
1461C4⋊Q8—212no—
1462C4⋊Q8—212no—
1463C4⋊Q8—224no—
1464C4⋊Q8—212no—
1465C4⋊Q8—224no—
1466C4⋊Q8—224no—
1467C4⋊Q8—22no—
1468C4⋊Q8—22no—
1469C4⋊Q8C2514yes—
1470C4⋊Q8C25124yes—
1471C4⋊Q8C25124yes—
1472C4⋊Q8C25112yes—
1473C4⋊Q8C25124yes—
1474C4⋊Q8C2514yes—
1475#127—248no—
1476#127—26no—
1477#127—224no—
1478#127—212no—
1479#127—212no—
1480#127—224no—
1481#127—212no—
1482#127—224no—
1483#127—224no—
1484#127C25124yes—
1485#127C25124yes—
1486#127C25112yes—
1487#127C25124yes—
1488#126—296no—
1489#126—248no—
1490#126—248no—
1491#125—248no—
1492#125—28no—
1493#125—224no—
1494#125—212no—
1495#125C25124yes—
1496#124—248no—
1497#124—296no—
1498#124—224no—
1499#124—248no—
1500#124—248no—
1501#124—248no—
1502#124—248no—
1503#124—248no—
1504#124—248no—
1505#124—248no—
1506#124—224no—
1507#124—212no—
1508#124C25124yes—
1509#123—248no—
1510#123—248no—
1511#123—248no—
1512#123—296no—
1513#123—296no—
1514#123—296no—
1515#123—296no—
1516#123—296no—
1517#123—296no—
1518#123—296no—
1519C22⋊Q8—248no—
1520C22⋊Q8—28no—
1521C22⋊Q8—224no—
1522C22⋊Q8—224no—
1523C22⋊Q8—224no—
1524C22⋊Q8—24no—
1525C22⋊Q8—212no—
1526C22⋊Q8—248no—
1527C22⋊Q8—248no—
1528C22⋊Q8—296no—
1529C22⋊Q8—248no—
1530C22⋊Q8—248no—
1531C22⋊Q8—296no—
1532C22⋊Q8—296no—
1533C22⋊Q8—296no—
1534C22⋊Q8C2518yes—
1535C22⋊Q8C25124yes—
1536#121—296no—
1537#121—248no—
1538#121—224no—
1539#121—212no—
1540#121—248no—
1541#121—248no—
1542#121—248no—
1543#121—248no—
1544#121—248no—
1545#121—248no—
1546#121—248no—
1547#121—248no—
1548#121—224no—
1549#121—224no—
1550#121—248no—
1551#121—248no—
1552#121—248no—
1553#121—224no—
1554#121—224no—
1555#121—224no—
1556#121—224no—
1557#121—212no—
1558#121—248no—
1559#121—248no—
1560#121—296no—
1561#121—248no—
1562#121—248no—
1563#121—296no—
1564#121—248no—
1565#121—248no—
1566#121—296no—
1567#121—296no—
1568#121C25124yes—
1569#121C25148yes—
1570#121C25148yes—
1571#121C25148yes—
1572#121C25124yes—
1573#120—248no—
1574#120—296no—
1575#120—296no—
1576#120—296no—
1577#120—296no—
1578#120—296no—
1579#120—296no—
1580C4×Q8—216no—
1581C4×Q8—28no—
1582C4×Q8—224no—
1583C4×Q8—224no—
1584C4×Q8—224no—
1585C4×Q8—24no—
1586C4×Q8—212no—
1587C4×Q8C22×D418yes—
1588C4×Q8C22×D4124yes—
1589C4×Q8C22×D418yes—
1590C4×Q8C22×D4124yes—
1591C4×Q8C22×D418yes—
1592C4×Q8C22×D4124yes—
1593C4×Q8C22×D414yes—
1594C4×Q8C22×D4112yes—
1595C4×Q8C2518yes—
1596C4×Q8C25124yes—
1597C4×Q8C2514yes—
1598C4×Q8C25112yes—
1599C4×D4—248no—
1600C4×D4—248no—
1601C4×D4—248no—
1602C4×D4—248no—
1603C4×D4—248no—
1604C4×D4—248no—
1605C4×D4—248no—
1606C4×D4—248no—
1607C4×D4—248no—
1608C4×D4—296no—
1609C4×D4—24no—
1610C4×D4—28no—
1611C4×D4—28no—
1612C4×D4—24no—
1613C4×D4—248no—
1614C4×D4—248no—
1615C4×D4—248no—
1616C4×D4—248no—
1617C4×D4—212no—
1618C4×D4—224no—
1619C4×D4—224no—
1620C4×D4—212no—
1621C4×D4—224no—
1622C4×D4—212no—
1623C4×D4—212no—
1624C4×D4—224no—
1625C4×D4—248no—
1626C4×D4—248no—
1627C4×D4—248no—
1628C4×D4—248no—
1629C4×D4—224no—
1630C4×D4—212no—
1631C4×D4—212no—
1632C4×D4—224no—
1633C4×D4—224no—
1634C4×D4—248no—
1635C4×D4—212no—
1636C4×D4—248no—
1637C4×D4—248no—
1638C4×D4—248no—
1639C4×D4—248no—
1640C4×D4—248no—
1641C4×D4—248no—
1642C4×D4—224no—
1643C4×D4—248no—
1644C4×D4—248no—
1645C4×D4—224no—
1646C4×D4—224no—
1647C4×D4—224no—
1648C4×D4—212no—
1649C4×D4C22×D4124yes—
1650C4×D4C22×D4148yes—
1651C4×D4C22×D4124yes—
1652C4×D4C22×D4124yes—
1653C4×D4C22×D4148yes—
1654C4×D4C22×D4124yes—
1655C4×D4C22×D4124yes—
1656C4×D4C22×D4148yes—
1657C4×D4C22×D4124yes—
1658C4×D4C22×D4112yes—
1659C4×D4C22×D4124yes—
1660C4×D4C22×D4112yes—
1661C4×D4C2518yes—
1662C4×D4C2518yes—
1663C4×D4C25124yes—
1664C4×D4C25124yes—
1665C4×D4C25124yes—
1666C4×D4C25124yes—
1667C4×D4C25124yes—
1668C4×D4C25124yes—
1669C4×D4C25124yes—
1670C4×D4C25148yes—
1671C4×D4C25124yes—
1672C4×D4C25112yes—
1673C4×D4C25124yes—
1674C4×D4C25112yes—
1675#117—28no—
1676#117—224no—
1677#117—212no—
1678#117—248no—
1679#117—248no—
1680#117—248no—
1681#117—248no—
1682#117C22×D4124yes—
1683#117C22×D4124yes—
1684#117C22×D4148yes—
1685#117C22×D4148yes—
1686#117C22×D4124yes—
1687#117C22×D4124yes—
1688#117C25124yes—
1689C2×C4⋊C4—22no—
1690C2×C4⋊C4—21no—
1691C2×C4⋊C4—26no—
1692C2×C4⋊C4—23no—
1693C2×C4⋊C4—224no—
1694C2×C4⋊C4—26no—
1695C2×C4⋊C4—26no—
1696C2×C4⋊C4—212no—
1697C2×C4⋊C4—212no—
1698C2×C4⋊C4—224no—
1699C2×C4⋊C4—224no—
1700C2×C4⋊C4—26no—
1701C2×C4⋊C4—23no—
1702C2×C4⋊C4—26no—
1703C2×C4⋊C4—224no—
1704C2×C4⋊C4—224no—
1705C2×C4⋊C4—26no—
1706C2×C4⋊C4—26no—
1707C2×C4⋊C4—26no—
1708C2×C4⋊C4—212no—
1709C2×C4⋊C4—21no—
1710C2×C4⋊C4—22no—
1711C2×C4⋊C4—22no—
1712C2×C4⋊C4—21no—
1713C2×C4⋊C4—21no—
1714C2×C4⋊C4—26no—
1715C2×C4⋊C4—26no—
1716C2×C4⋊C4—26no—
1717C2×C4⋊C4—248no—
1718C2×C4⋊C4C22×D413yes—
1719C2×C4⋊C4C22×D413yes—
1720C2×C4⋊C4C22×D413yes—
1721C2×C4⋊C4C22×D416yes—
1722C2×C4⋊C4C22×D4124yes—
1723C2×C4⋊C4C22×D413yes—
1724C2×C4⋊C4C22×D416yes—
1725C2×C4⋊C4C22×D4124yes—
1726C2×C4⋊C4C2512yes—
1727C2×C4⋊C4C2514yes—
1728C2×C4⋊C4C2516yes—
1729C2×C4⋊C4C25112yes—
1730C2×C4⋊C4C25124yes—
1731C2×C4⋊C4C25124yes—
1732C2×C4⋊C4C2516yes—
1733C2×C4⋊C4C25124yes—
1734C2×C4⋊C4C2512yes—
1735C2×C22⋊C4—26no—
1736C2×C22⋊C4—22no—
1737C2×C22⋊C4—26no—
1738C2×C22⋊C4—28no—
1739C2×C22⋊C4—22no—
1740C2×C22⋊C4—22no—
1741C2×C22⋊C4—224no—
1742C2×C22⋊C4—26no—
1743C2×C22⋊C4—26no—
1744C2×C22⋊C4—224no—
1745C2×C22⋊C4—26no—
1746C2×C22⋊C4—26no—
1747C2×C22⋊C4—224no—
1748C2×C22⋊C4—26no—
1749C2×C22⋊C4—26no—
1750C2×C22⋊C4—248no—
1751C2×C22⋊C4—248no—
1752C2×C22⋊C4—248no—
1753C2×C22⋊C4—248no—
1754C2×C22⋊C4—26no—
1755C2×C22⋊C4—212no—
1756C2×C22⋊C4—26no—
1757C2×C22⋊C4—26no—
1758C2×C22⋊C4—248no—
1759C2×C22⋊C4—248no—
1760C2×C22⋊C4—212no—
1761C2×C22⋊C4—212no—
1762C2×C22⋊C4—212no—
1763C2×C22⋊C4—248no—
1764C2×C22⋊C4—26no—
1765C2×C22⋊C4—26no—
1766C2×C22⋊C4—26no—
1767C2×C22⋊C4—296no—
1768C2×C22⋊C4C22×D416yes—
1769C2×C22⋊C4C22×D416yes—
1770C2×C22⋊C4C22×D416yes—
1771C2×C22⋊C4C22×D416yes—
1772C2×C22⋊C4C22×D4148yes—
1773C2×C42—22no—
1774C2×C42—26no—
1775C2×C42—26no—
1776C2×C42—248no—
1777C2×C42C22×D413yes—
1778C2×C42C22×D413yes—
1779C2×C42C22×D413yes—
1780C2×C42C22×D413yes—
1781C2×C42C22×D413yes—
1782C2×C42C22×D413yes—
1783C2×C42C22×D4124yes—
1784C2×C42C22×D411yescharacteristic
1785C2×C42C22×D413yes—
1786C2×C42C22×D4124yes—
1787C2×C42C22×D4112yes—
1788C2×C42C22×D411yescharacteristic
1789C2×C42C22×D414yes—
1790C2×C42C22×D413yes—
1791C2×C42C22×D413yes—
1792C2×C42C22×D4124yes—
1793C2×C42C22×D413yes—
1794C2×C42C22×D4112yes—
1795C2×C42C22×D4112yes—
1796C2×C42C22×D4124yes—
1797C2×C42C22×D4124yes—
1798C2×C42C22×D4124yes—
1799C2×C42C22×D4112yes—
1800C2×C42C22×D4112yes—
1801C2×C42C2511yescharacteristic
1802C2×C42C2513yes—
1803C2×C42C2513yes—
1804C2×C42C2511yescharacteristic
1805C2×C42C2514yes—
1806C2×C42C25112yes—
1807C2×C42C25112yes—
1808C2×C42C25112yes—
1809C2×C42C25112yes—
1810C2×C42C25112yes—
1811#107C25116yes—
1812#107C25148yes—
1813#106C25148yes—
1814#106C25196yes—
1815#106C25148yes—
1816C4⋊C8C25124yes—
1817C4⋊C8C25148yes—
1818C4⋊C8C2518yes—
1819C4⋊C8C25148yes—
1820#103C25116yes—
1821#103C25148yes—
1822#102C25148yes—
1823#102C25196yes—
1824#102C25148yes—
1825#102C25196yes—
1826#102C25148yes—
1827#102C25116yes—
1828#102C25148yes—
1829#102C25148yes—
1830C22⋊C8C25124yes—
1831C22⋊C8C25148yes—
1832C22⋊C8C2518yes—
1833C22⋊C8C25148yes—
1834#97C25124yes—
1835#97C25148yes—
1836#97C2518yes—
1837C4×C8C25148yes—
1838C24—28no—
1839C24—212no—
1840C24—24no—
1841C24—22no—
1842C24—212no—
1843C24—212no—
1844C24—26no—
1845C24—26no—
1846C24—224no—
1847C24—224no—
1848C24—224no—
1849C24—46no—
1850C24—424no—
1851C24—424no—
1852C24—44no—
1853C24—412no—
1854C24—496no—
1855C24—424no—
1856C24—412no—
1857C24—496no—
1858C24—44no—
1859C24—412no—
1860C24—424no—
1861C24—424no—
1862C24—812no—
1863C24—848no—
1864C24—812no—
1865C24—812no—
1866C24—812no—
1867C24—8192no—
1868C24C23×D413yes—
1869C24C23×D4112yes—
1870C24C23×D411yescharacteristic
1871C24C23×D413yes—
1872#41—232no—
1873#41—296no—
1874#41—296no—
1875#41—4192no—
1876#41—4192no—
1877#41—4192no—
1878#41—496no—
1879#41—448no—
1880#41—4384no—
1881#41—4192no—
1882#41—4192no—
1883#41—464no—
1884#41—464no—
1885#41—4192no—
1886#41—4192no—
1887#41—496no—
1888#41—896no—
1889#41—824no—
1890#41—896no—
1891#41—896no—
1892#41C2×AGL(1,ℤ/8)164yescomplemented
1893C2×Q8—232no—
1894C2×Q8—22no—
1895C2×Q8—24no—
1896C2×Q8—212no—
1897C2×Q8—224no—
1898C2×Q8—224no—
1899C2×Q8—224no—
1900C2×Q8—212no—
1901C2×Q8—28no—
1902C2×Q8—424no—
1903C2×Q8—496no—
1904C2×Q8—412no—
1905C2×Q8—4192no—
1906C2×Q8—464no—
1907C2×Q8—424no—
1908C2×Q8—44no—
1909C2×Q8—812no—
1910C2×Q8—848no—
1911C2×Q8C2×AGL(1,ℤ/8)18yes—
1912C2×Q8C23×D4112yes—
1913C2×Q8C23×D414yes—
1914C2×Q8C2614yes—
1915C2×D4—28no—
1916C2×D4—216no—
1917C2×D4—224no—
1918C2×D4—216no—
1919C2×D4—296no—
1920C2×D4—248no—
1921C2×D4—248no—
1922C2×D4—224no—
1923C2×D4—224no—
1924C2×D4—248no—
1925C2×D4—248no—
1926C2×D4—224no—
1927C2×D4—248no—
1928C2×D4—24no—
1929C2×D4—22no—
1930C2×D4—224no—
1931C2×D4—224no—
1932C2×D4—26no—
1933C2×D4—224no—
1934C2×D4—212no—
1935C2×D4—212no—
1936C2×D4—26no—
1937C2×D4—212no—
1938C2×D4—224no—
1939C2×D4—224no—
1940C2×D4—224no—
1941C2×D4—224no—
1942C2×D4—224no—
1943C2×D4—224no—
1944C2×D4—24no—
1945C2×D4—224no—
1946C2×D4—212no—
1947C2×D4—212no—
1948C2×D4—212no—
1949C2×D4—424no—
1950C2×D4—424no—
1951C2×D4—424no—
1952C2×D4—448no—
1953C2×D4—448no—
1954C2×D4—448no—
1955C2×D4—424no—
1956C2×D4—424no—
1957C2×D4—412no—
1958C2×D4—424no—
1959C2×D4—424no—
1960C2×D4—496no—
1961C2×D4—412no—
1962C2×D4—496no—
1963C2×D4—496no—
1964C2×D4—4384no—
1965C2×D4—4192no—
1966C2×D4—496no—
1967C2×D4—4192no—
1968C2×D4—448no—
1969C2×D4—424no—
1970C2×D4—448no—
1971C2×D4—424no—
1972C2×D4—4192no—
1973C2×D4—4192no—
1974C2×D4—424no—
1975C2×D4—412no—
1976C2×D4—424no—
1977C2×D4—496no—
1978C2×D4—824no—
1979C2×D4—812no—
1980C2×D4—812no—
1981C2×D4—812no—
1982C2×D4—848no—
1983C2×D4—812no—
1984C2×D4—848no—
1985C2×D4—824no—
1986C2×D4—812no—
1987C2×D4—896no—
1988C2×D4C2×AGL(1,ℤ/8)124yes—
1989C2×D4C23×D4124yes—
1990C2×D4C23×D4112yes—
1991C2×D4C23×D4112yes—
1992C2×D4#58518yes—
1993C2×D4C26112yes—
1994C2×D4C26112yes—
1995C2×D4C2614yes—
1996C22×C4—24no—
1997C22×C4—212no—
1998C22×C4—212no—
1999C22×C4—212no—
2000C22×C4—212no—
2001C22×C4—24no—
2002C22×C4—24no—
2003C22×C4—212no—
2004C22×C4—212no—
2005C22×C4—212no—
2006C22×C4—296no—
2007C22×C4—24no—
2008C22×C4—212no—
2009C22×C4—224no—
2010C22×C4—224no—
2011C22×C4—22no—
2012C22×C4—22no—
2013C22×C4—26no—
2014C22×C4—22no—
2015C22×C4—26no—
2016C22×C4—224no—
2017C22×C4—224no—
2018C22×C4—224no—
2019C22×C4—28no—
2020C22×C4—28no—
2021C22×C4—224no—
2022C22×C4—224no—
2023C22×C4—224no—
2024C22×C4—224no—
2025C22×C4—224no—
2026C22×C4—224no—
2027C22×C4—224no—
2028C22×C4—248no—
2029C22×C4—424no—
2030C22×C4—424no—
2031C22×C4—46no—
2032C22×C4—46no—
2033C22×C4—46no—
2034C22×C4—46no—
2035C22×C4—46no—
2036C22×C4—46no—
2037C22×C4—46no—
2038C22×C4—448no—
2039C22×C4—48no—
2040C22×C4—432no—
2041C22×C4—424no—
2042C22×C4—496no—
2043C22×C4—424no—
2044C22×C4—424no—
2045C22×C4—4192no—
2046C22×C4—496no—
2047C22×C4—496no—
2048C22×C4—4192no—
2049C22×C4—4192no—
2050C22×C4—424no—
2051C22×C4—44no—
2052C22×C4—412no—
2053C22×C4—496no—
2054C22×C4—424no—
2055C22×C4—424no—
2056C22×C4—48no—
2057C22×C4—424no—
2058C22×C4—424no—
2059C22×C4—424no—
2060C22×C4—4192no—
2061C22×C4—424no—
2062C22×C4—824no—
2063C22×C4—812no—
2064C22×C4—896no—
2065C22×C4—812no—
2066C22×C4C2×AGL(1,ℤ/8)124yes—
2067C22×C4C23×D412yes—
2068C22×C4C23×D414yes—
2069C22×C4C23×D414yes—
2070C22×C4C23×D416yes—
2071C22×C4C23×D416yes—
2072C22×C4C23×D4112yes—
2073C22×C4C23×D4112yes—
2074C22×C4C23×D4112yes—
2075C22×C4C23×D4112yes—
2076C22×C4C23×D4112yes—
2077C22×C4C23×D411yescharacteristic
2078C22×C4C23×D413yes—
2079C22×C4C23×D411yescharacteristic
2080C22×C4C23×D411yescharacteristic
2081C22×C4C23×D411yescharacteristic
2082C22×C4C23×D413yes—
2083C22×C4C23×D413yes—
2084C22×C4C23×D413yes—
2085C22×C4C23×D413yes—
2086C22×C4C23×D4112yes—
2087C22×C4C23×D4112yes—
2088C22×C4C23×D4112yes—
2089C22×C4C23×D4112yes—
2090C22×C4C23×D4112yes—
2091C22×C4C23×D4112yes—
2092C22×C4C23×D4112yes—
2093C22×C4C23×D4112yes—
2094C22×C4C23×D413yes—
2095C22×C4C23×D411yescharacteristic
2096C22×C4C2612yes—
2097C22×C4C2616yes—
2098C22×C4C2616yes—
2099C22×C4C2611yescharacteristic
2100SD16—232no—
2101SD16—448no—
2102D8—296no—
2103D8—496no—
2104D8—448no—
2105M16—448no—
2106C2×C8—224no—
2107C2×C8—28no—
2108C2×C8—448no—
2109C2×C8C2618yes—
2110C2×C8C26124yes—
2111C4⋊C4—24no—
2112C4⋊C4—22no—
2113C4⋊C4—212no—
2114C4⋊C4—26no—
2115C4⋊C4—224no—
2116C4⋊C4—224no—
2117C4⋊C4—224no—
2118C4⋊C4—212no—
2119C4⋊C4—224no—
2120C4⋊C4—26no—
2121C4⋊C4—224no—
2122C4⋊C4—224no—
2123C4⋊C4—224no—
2124C4⋊C4—24no—
2125C4⋊C4—28no—
2126C4⋊C4—28no—
2127C4⋊C4—24no—
2128C4⋊C4—24no—
2129C4⋊C4—224no—
2130C4⋊C4—224no—
2131C4⋊C4—224no—
2132C4⋊C4—22no—
2133C4⋊C4C23×D4112yes—
2134C4⋊C4C23×D4112yes—
2135C4⋊C4C23×D4112yes—
2136C4⋊C4C23×D4124yes—
2137C4⋊C4C23×D4112yes—
2138C4⋊C4C23×D4124yes—
2139C4⋊C4C26112yes—
2140C4⋊C4C2614yes—
2141C4⋊C4C2614yes—
2142C4⋊C4C26112yes—
2143C22⋊C4—224no—
2144C22⋊C4—28no—
2145C22⋊C4—224no—
2146C22⋊C4—28no—
2147C22⋊C4—28no—
2148C22⋊C4—224no—
2149C22⋊C4—224no—
2150C22⋊C4—224no—
2151C22⋊C4—224no—
2152C22⋊C4—224no—
2153C22⋊C4—224no—
2154C22⋊C4—224no—
2155C22⋊C4—248no—
2156C22⋊C4—224no—
2157C22⋊C4—224no—
2158C22⋊C4—248no—
2159C22⋊C4—248no—
2160C22⋊C4—248no—
2161C22⋊C4—224no—
2162C22⋊C4—224no—
2163C22⋊C4—224no—
2164C22⋊C4C23×D4124yes—
2165C22⋊C4C23×D4124yes—
2166C22⋊C4C23×D4124yes—
2167C22⋊C4C23×D4124yes—
2168C42—28no—
2169C42—224no—
2170C42—224no—
2171C42C23×D4112yes—
2172C42C23×D414yes—
2173C42C23×D412yes—
2174C42C23×D414yes—
2175C42C23×D412yes—
2176C42C23×D4112yes—
2177C42C23×D4112yes—
2178C42C23×D4112yes—
2179C42C23×D4112yes—
2180C42C23×D4112yes—
2181C42C23×D4112yes—
2182C42C23×D416yes—
2183C42C23×D4112yes—
2184C42C23×D4112yes—
2185C42C23×D416yes—
2186C42C23×D4112yes—
2187C42C2616yes—
2188C42C2612yes—
2189C42C2616yes—
2190C42C2612yes—
2191C23—22no—
2192C23—26no—
2193C23—22no—
2194C23—26no—
2195C23—216no—
2196C23—26no—
2197C23—28no—
2198C23—224no—
2199C23—26no—
2200C23—224no—
2201C23—26no—
2202C23—24no—
2203C23—212no—
2204C23—212no—
2205C23—412no—
2206C23—448no—
2207C23—448no—
2208C23—448no—
2209C23—48no—
2210C23—432no—
2211C23—424no—
2212C23—448no—
2213C23—424no—
2214C23—44no—
2215C23—48no—
2216C23—44no—
2217C23—412no—
2218C23—412no—
2219C23—448no—
2220C23—412no—
2221C23—412no—
2222C23—412no—
2223C23—424no—
2224C23—412no—
2225C23—448no—
2226C23—824no—
2227C23—824no—
2228C23—824no—
2229C23—824no—
2230C23—896no—
2231C23—848no—
2232C23—8384no—
2233C23—896no—
2234C23—1648no—
2235C23C22×AGL(1,ℤ/8)112yes—
2236C23#358514yes—
2237C23C24×D416yes—
2238C23C24×D416yes—
2239C23C24×D412yes—
2240C23C24×D411yescharacteristic
2241Q8—224no—
2242Q8—28no—
2243Q8—448no—
2244Q8—424no—
2245Q8—44no—
2246Q8—448no—
2247Q8—48no—
2248Q8—824no—
2249Q8C22×AGL(1,ℤ/8)116yes—
2250D4—216no—
2251D4—248no—
2252D4—28no—
2253D4—224no—
2254D4—24no—
2255D4—224no—
2256D4—212no—
2257D4—212no—
2258D4—448no—
2259D4—448no—
2260D4—424no—
2261D4—448no—
2262D4—424no—
2263D4—496no—
2264D4—496no—
2265D4—448no—
2266D4—448no—
2267D4—412no—
2268D4—412no—
2269D4—448no—
2270D4—424no—
2271D4—448no—
2272D4—824no—
2273D4—824no—
2274D4—824no—
2275D4—824no—
2276D4—848no—
2277D4—824no—
2278D4C22×AGL(1,ℤ/8)148yes—
2279D4C2×#58518yes—
2280C2×C4—22no—
2281C2×C4—26no—
2282C2×C4—26no—
2283C2×C4—22no—
2284C2×C4—26no—
2285C2×C4—224no—
2286C2×C4—22no—
2287C2×C4—22no—
2288C2×C4—28no—
2289C2×C4—26no—
2290C2×C4—26no—
2291C2×C4—224no—
2292C2×C4—24no—
2293C2×C4—212no—
2294C2×C4—212no—
2295C2×C4—28no—
2296C2×C4—224no—
2297C2×C4—224no—
2298C2×C4—224no—
2299C2×C4—212no—
2300C2×C4—212no—
2301C2×C4—24no—
2302C2×C4—24no—
2303C2×C4—24no—
2304C2×C4—212no—
2305C2×C4—24no—
2306C2×C4—212no—
2307C2×C4—412no—
2308C2×C4—412no—
2309C2×C4—412no—
2310C2×C4—412no—
2311C2×C4—412no—
2312C2×C4—412no—
2313C2×C4—412no—
2314C2×C4—416no—
2315C2×C4—448no—
2316C2×C4—448no—
2317C2×C4—448no—
2318C2×C4—448no—
2319C2×C4—48no—
2320C2×C4—424no—
2321C2×C4—448no—
2322C2×C4—44no—
2323C2×C4—44no—
2324C2×C4—412no—
2325C2×C4—448no—
2326C2×C4—44no—
2327C2×C4—412no—
2328C2×C4—416no—
2329C2×C4—448no—
2330C2×C4—448no—
2331C2×C4—448no—
2332C2×C4—448no—
2333C2×C4—848no—
2334C2×C4—824no—
2335C2×C4—824no—
2336C2×C4C22×AGL(1,ℤ/8)14yes—
2337C2×C4C22×AGL(1,ℤ/8)112yes—
2338C2×C4C22×AGL(1,ℤ/8)148yes—
2339C2×C4C24×D412yes—
2340C2×C4C24×D416yes—
2341C2×C4C24×D412yes—
2342C2×C4C24×D412yes—
2343C2×C4C24×D412yes—
2344C2×C4C24×D416yes—
2345C2×C4C24×D416yes—
2346C2×C4C24×D416yes—
2347C2×C4C24×D416yes—
2348C2×C4C24×D411yescharacteristic
2349C2×C4C24×D416yes—
2350C2×C4C24×D412yes—
2351C2×C4C2×#58514yes—
2352C2×C4C2711yescharacteristic
2353C8—224no—
2354C8—28no—
2355C22—22no—
2356C22—26no—
2357C22—28no—
2358C22—224no—
2359C22—22no—
2360C22—26no—
2361C22—26no—
2362C22—26no—
2363C22—26no—
2364C22—28no—
2365C22—448no—
2366C22—432no—
2367C22—44no—
2368C22—44no—
2369C22—412no—
2370C22—416no—
2371C22—412no—
2372C22—412no—
2373C22—412no—
2374C22—412no—
2375C22—412no—
2376C22—412no—
2377C22—896no—
2378C22—848no—
2379C22—896no—
2380C22—824no—
2381C22—824no—
2382C22—1648no—
2383C22#6281112yes—
2384C22C23×AGL(1,ℤ/8)112yes—
2385C22C23×AGL(1,ℤ/8)12yes—
2386C22C2×#358514yes—
2387C22C2×#358512yes—
2388C22C25×D411yescharacteristic
2389C4—22no—
2390C4—26no—
2391C4—22no—
2392C4—22no—
2393C4—26no—
2394C4—26no—
2395C4—22no—
2396C4—26no—
2397C4—26no—
2398C4—44no—
2399C4—412no—
2400C4—44no—
2401C4—412no—
2402C4—44no—
2403C4#6281112yes—
2404C4C23×AGL(1,ℤ/8)14yes—
2405C4C23×AGL(1,ℤ/8)112yes—
2406C4C22×#58512yes—
2407C2—24no—
2408C2—212no—
2409C2—46no—
2410C2—48no—
2411C2—812no—
2412C2—812no—
2413C2#1058034714yesdirect product factor
2414C2C2×#6281111yescharacteristic
2415C2C24×AGL(1,ℤ/8)11yescharacteristic
2416C2C22×#358511yescharacteristic
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×#62800C2semidirect
2. C22×D4×#41C2semidirect
3. #10580347C2direct (N × H)
4. C2×#62110C2semidirect
5. C2×#62096C2semidirect
6. C2×#61961C2semidirect
7. C2×#61947C2semidirect
8. C2×#61907C2semidirect
9. C2×#61843C2semidirect
10. C2×#61728C2semidirect
11. C2×#61591C2semidirect
12. C2×#61465C2semidirect
13. C2×#61451C2semidirect
14. C2×#60968C2semidirect
15. C2×#60962C2semidirect
16. C2×#60558C2semidirect
17. C22×#3109C2semidirect
18. C2×#60283C2semidirect
21. #62800C22semidirect
22. C2×#3511C22semidirect
23. C2×#3508C22semidirect
25. C2×#3503C22semidirect
26. C2×#3498C22semidirect
29. C2×#3522C22semidirect
31. C2×#3519C22semidirect
32. C2×#3483C22semidirect
33. C2×#3481C22semidirect
42. C2×D4×#41C22semidirect
43. C2×D4×#41C22semidirect
44. C2×D4×#41C22semidirect
45. C2×D4×#41C22semidirect
46. C22×#550C22semidirect
47. C22×#547C22semidirect
50. C22×D4×Q8C22semidirect
51. C22×D42C22semidirect
53. C2×#3444C22semidirect
54. C22×#532C22semidirect
55. C22×#532C22semidirect
59. C23×C4×D4C22semidirect
60. #62110C22semidirect
61. #62096C22semidirect
62. #61961C22semidirect
63. #61947C22semidirect
64. #61907C22semidirect
65. #61843C22semidirect
66. #61728C22semidirect
67. #61591C22semidirect
68. #61465C22semidirect
69. #61451C22semidirect
70. C2×#3399C22semidirect
71. C2×#3391C22semidirect
72. C2×#3384C22semidirect
73. C2×Q8×SD16C22semidirect
74. C2×#3373C22semidirect
75. C2×#3366C22semidirect
76. C2×#3362C22semidirect
77. C2×#3358C22semidirect
78. C2×#3354C22semidirect
79. C2×#3345C22semidirect
80. C2×#3335C22semidirect
81. C2×#3332C22semidirect
82. C2×#3325C22semidirect
83. C2×#3318C22semidirect
84. C2×#3306C22semidirect
85. C2×#3295C22semidirect
86. C2×#3294C22semidirect
87. C2×D4×D8C22semidirect
88. C2×#3274C22semidirect
89. C2×#3264C22semidirect
90. #60968C22semidirect
91. #60962C22semidirect
92. C2×#3253C22semidirect
93. C2×#3246C22semidirect
94. C2×#3245C22semidirect
95. C2×#3235C22semidirect
96. C2×#3239C22semidirect
97. C2×#3227C22semidirect
98. C2×#3227C22semidirect
99. C2×#3214C22semidirect
100. C2×#3217C22semidirect
101. C2×#3205C22semidirect
102. C2×#3205C22semidirect
103. C2×#3192C22semidirect
104. C2×#3188C22semidirect
105. C2×#3184C22semidirect
106. C2×#3180C22semidirect
107. #60558C22semidirect
108. C2×#3110C22semidirect
109. C2×#3110C22semidirect
110. C2×#3109C22semidirect
111. C2×#3109C22semidirect
112. C2×#3109C22semidirect
113. C2×#3109C22semidirect
114. C2×#3109C22semidirect
115. C2×#3109C22semidirect
116. C2×#3109C22semidirect
117. C2×#3109C22semidirect
118. C2×#3109C22semidirect
119. C2×#3115C22semidirect
120. C2×#3114C22semidirect
121. C2×#3105C22semidirect
122. C2×#3105C22semidirect
123. C2×#3101C22semidirect
124. C2×#3100C22semidirect
125. C2×#3092C22semidirect
126. C22×#481C22semidirect
127. C2×#3077C22semidirect
128. C22×#476C22semidirect
129. C2×#3036C22semidirect
130. C22×#459C22semidirect
131. C2×#3003C22semidirect
132. C22×#447C22semidirect
133. #60283C22semidirect
134. C2×#2989C22semidirect
135. C2×#2988C22semidirect
136. C2×#2984C22semidirect
137. C2×#2974C22semidirect
138. C2×#2971C22semidirect
139. C2×#2970C22semidirect
140. C2×C4×AGL(1,ℤ/8)C22semidirect
141. C22×#442C22semidirect
142. C2×#2920C22semidirect
143. C22×#432C22semidirect
163. #3522C23semidirect
165. #3519C23semidirect
169. #3511C23semidirect
171. #3508C23semidirect
173. #3503C23semidirect
175. #3498C23semidirect
179. #3483C23semidirect
181. #3481C23semidirect
184. C2×#559C23semidirect
185. C2×Q82C23semidirect
189. C2×#555C23semidirect
190. C2×#554C23semidirect
191. C2×#554C23semidirect
194. C2×#553C23semidirect
206. D4×#41C23semidirect
207. D4×#41C23semidirect
208. D4×#41C23semidirect
217. C2×#550C23semidirect
218. C2×#550C23semidirect
219. C2×#550C23semidirect
226. C2×D4×Q8C23semidirect
243. C2×#547C23semidirect
254. C2×#546C23semidirect
264. C2×D42C23semidirect
265. C2×D42C23semidirect
277. #3444C23semidirect
279. C2×#533C23semidirect
280. C2×#533C23semidirect
298. C2×#532C23semidirect
299. C2×#532C23semidirect
300. C2×#532C23semidirect
301. C2×#532C23semidirect
302. C2×#532C23semidirect
303. C2×#532C23semidirect
305. C22×C4⋊Q8C23semidirect
307. C22×#127C23semidirect
314. C2×#529C23semidirect
357. C2×C4×#41C23semidirect
380. C22×C4×D4C23semidirect
381. C22×C4×D4C23semidirect
386. #3399C23semidirect
387. #3391C23semidirect
388. #3384C23semidirect
389. Q8×SD16C23semidirect
390. #3373C23semidirect
391. #3366C23semidirect
392. #3362C23semidirect
393. #3358C23semidirect
394. #3354C23semidirect
395. #3345C23semidirect
396. #3335C23semidirect
397. #3332C23semidirect
398. #3325C23semidirect
399. #3318C23semidirect
400. #3306C23semidirect
401. #3295C23semidirect
402. #3294C23semidirect
403. D4×D8C23semidirect
404. #3274C23semidirect
405. #3264C23semidirect
406. #3253C23semidirect
407. #3246C23semidirect
408. #3245C23semidirect
409. #3239C23semidirect
410. #3235C23semidirect
411. #3227C23semidirect
412. #3227C23semidirect
413. #3217C23semidirect
414. #3214C23semidirect
415. #3205C23semidirect
416. #3205C23semidirect
417. #3192C23semidirect
418. #3188C23semidirect
419. #3184C23semidirect
420. #3180C23semidirect
421. C2×#501C23semidirect
422. C2×#498C23semidirect
423. C2×#496C23semidirect
424. C2×#493C23semidirect
425. C2×#490C23semidirect
426. C2×#489C23semidirect
427. C2×#486C23semidirect
428. C2×#486C23semidirect
429. #3115C23semidirect
430. #3114C23semidirect
431. #3110C23semidirect
432. #3110C23semidirect
433. #3109C23semidirect
434. #3109C23semidirect
435. #3109C23semidirect
436. #3109C23semidirect
437. #3109C23semidirect
438. #3109C23semidirect
439. #3109C23semidirect
440. #3109C23semidirect
441. #3105C23semidirect
442. #3105C23semidirect
443. #3101C23semidirect
444. #3100C23semidirect
445. #3092C23semidirect
451. C2×#481C23semidirect
452. C2×#481C23semidirect
453. C2×#481C23semidirect
454. C2×#482C23semidirect
455. C2×#483C23semidirect
456. C2×#480C23semidirect
457. #3077C23semidirect
458. C2×#475C23semidirect
460. C2×#478C23semidirect
463. C2×#476C23semidirect
464. C2×#476C23semidirect
465. C2×#476C23semidirect
466. C2×#476C23semidirect
467. C2×#476C23semidirect
469. C2×#474C23semidirect
470. C2×#474C23semidirect
471. C2×#469C23semidirect
472. C2×#469C23semidirect
473. C2×#466C23semidirect
474. C2×#465C23semidirect
475. #3036C23semidirect
476. C2×#460C23semidirect
478. C2×#463C23semidirect
480. C2×#461C23semidirect
483. C2×#459C23semidirect
484. C2×#459C23semidirect
485. C2×#459C23semidirect
486. C2×#459C23semidirect
487. C2×#459C23semidirect
488. C2×#459C23semidirect
489. #3003C23semidirect
490. C2×#449C23semidirect
499. C2×#447C23semidirect
500. C2×#447C23semidirect
501. #2989C23semidirect
502. #2988C23semidirect
503. #2984C23semidirect
504. #2974C23semidirect
505. #2971C23semidirect
506. #2970C23semidirect
507. C2×#446C23semidirect
508. C2×C8×Q8C23semidirect
509. C4×AGL(1,ℤ/8)C23semidirect
512. C2×#442C23semidirect
513. C2×#442C23semidirect
514. C2×#442C23semidirect
515. C2×#442C23semidirect
517. C2×#440C23semidirect
519. C2×C4×SD16C23semidirect
521. C2×C4×D8C23semidirect
522. C2×#436C23semidirect
523. C2×#435C23semidirect
524. C2×C8×D4C23semidirect
525. #2920C23semidirect
529. C2×#432C23semidirect
530. C2×#432C23semidirect
531. C2×#432C23semidirect
532. C2×#432C23semidirect
534. C2×#431C23semidirect
535. C2×#428C23semidirect
536. C22×#106C23semidirect
537. C2×#423C23semidirect
538. C22×C4⋊C8C23semidirect
539. C2×#417C23semidirect
542. C22×#102C23semidirect
545. C2×C4×M16C23semidirect
546. C22×#97C23semidirect
648. #559C24semidirect
650. Q82C24semidirect
655. #555C24semidirect
658. #554C24semidirect
659. #554C24semidirect
663. #553C24semidirect
676. #550C24semidirect
677. #550C24semidirect
712. #546C24semidirect
725. D42C24semidirect
739. #533C24semidirect
740. #533C24semidirect
766. #532C24semidirect
767. #532C24semidirect
768. #532C24semidirect
769. #532C24semidirect
784. C2×C4⋊Q8C24semidirect
797. C2×#127C24semidirect
806. #529C24semidirect
936. C4×#41C24semidirect
1046. C2×C4×D4C24semidirect
1105. #501C24semidirect
1106. #498C24semidirect
1107. #496C24semidirect
1108. #493C24semidirect
1109. #490C24semidirect
1110. #489C24semidirect
1111. #486C24semidirect
1112. #486C24semidirect
1115. #483C24semidirect
1116. #482C24semidirect
1120. #481C24semidirect
1121. #481C24semidirect
1122. #480C24semidirect
1124. #478C24semidirect
1127. #476C24semidirect
1128. #476C24semidirect
1129. #476C24semidirect
1130. #476C24semidirect
1131. #475C24semidirect
1133. #474C24semidirect
1134. #474C24semidirect
1135. #469C24semidirect
1136. #469C24semidirect
1137. #466C24semidirect
1138. #465C24semidirect
1140. #463C24semidirect
1142. #461C24semidirect
1143. #460C24semidirect
1146. #459C24semidirect
1147. #459C24semidirect
1148. #459C24semidirect
1149. #459C24semidirect
1150. #459C24semidirect
1154. #449C24semidirect
1160. #447C24semidirect
1161. #446C24semidirect
1162. C8×Q8C24semidirect
1165. #442C24semidirect
1166. #442C24semidirect
1167. #442C24semidirect
1169. #440C24semidirect
1171. C4×SD16C24semidirect
1173. C4×D8C24semidirect
1174. #436C24semidirect
1175. #435C24semidirect
1176. C8×D4C24semidirect
1180. #432C24semidirect
1181. #432C24semidirect
1182. #432C24semidirect
1184. #431C24semidirect
1185. #428C24semidirect
1191. C2×#106C24semidirect
1192. #423C24semidirect
1197. C2×C4⋊C8C24semidirect
1199. #417C24semidirect
1211. C2×#102C24semidirect
1218. C4×M16C24semidirect
1222. C2×#97C24semidirect
1279. C2×#41AGL(1,ℤ/8)semidirect
1892. #41C2×AGL(1,ℤ/8)semidirect
2413. C2#10580347direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#628002
C22×D4×#412
#105803472
C2×#621102
C2×#620962
C2×#619612
C2×#619472
C2×#619072
C2×#618432
C2×#617282
C2×#615912
C2×#614652
C2×#614512
C2×#609682
C2×#609622
C2×#605582
C22×#31092
C2×#602832