Finite Group Databasebeta

← C23×#49545 #72339217

Subgroups — C23×#49545 #72339217

Order 2048.

1832000 conjugacy classes of subgroups.

The subgroup lattice has 2476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2476C212yesmaximal, complemented
2C23×#2375C211yesmaximal, characteristic, complemented
3C23×#2699C212yesmaximal, complemented
4C23×#2459C212yesmaximal, complemented
5C23×#2670C212yesmaximal, complemented
6C23×#2464C212yesmaximal, complemented
7C23×#2673C212yesmaximal, complemented
8C24×#535C211yesmaximal, characteristic, complemented
9C22×#49545C21224yesmaximal, direct product factor
10C23×#2613C212yesmaximal, complemented
11C23×#2431C211yesmaximal, characteristic, complemented
12C23×#2404C211yesmaximal, characteristic, complemented
13C23×#2669C212yesmaximal, complemented
14C23×#2669C211yesmaximal, characteristic, complemented
15C23×#2669C212yesmaximal, complemented
16C23×#2433C212yesmaximal, complemented
17C23×#2410C212yesmaximal, complemented
18C23×#2679C211yesmaximal, characteristic, complemented
19C23×#2403C212yesmaximal, complemented
20C24×D42C211yesmaximal, characteristic, complemented
21C25×#41C2211yescharacteristic, complemented
22C26×D4C2212yes—
23C26×D4C2212yescomplemented
24C26×D4C2211yescharacteristic, complemented
25C23×D42—264no—
26C23×D42C221112yescomplemented
27C23×#535—264no—
28C23×#535C221112yescomplemented
29C24×#127C2211yescharacteristic
30C24×#127C2212yescomplemented
31C24×#127C2212yescomplemented
32C24×#124C2212yescomplemented
33C24×#124C2211yescharacteristic, complemented
34C24×#123C2212yescomplemented
35C24×#121C2212yes—
36C24×#121C2212yescomplemented
37C24×#121C2212yescomplemented
38C24×#121C2212yescomplemented
39C24×#121C2211yescharacteristic, complemented
40C24×#121C2212yescomplemented
41C24×#121C2212yescomplemented
42C24×#120C2211yescharacteristic
43C24×#120C2211yescharacteristic
44C24×#120C2212yescomplemented
45C24×#120C2211yescharacteristic, complemented
46C24×#120C2211yescharacteristic, complemented
47C24×#120C2211yescharacteristic, complemented
48C24×#120C2211yescharacteristic, complemented
49C24×#120C2212yescomplemented
50C24×#120C2212yescomplemented
51C24×#120C2212yescomplemented
52C24×#120C2212yescomplemented
53C24×#120C2212yescomplemented
54C24×#120C2212yescomplemented
55C24×C4×D4C2212yescomplemented
56C24×#117C2211yescharacteristic, complemented
57C25×C22⋊C4C2211yescharacteristic, complemented
58C2×#49545C2217168yesdirect product factor
59C22×#2699C221224yescomplemented
60C22×#2670C221224yescomplemented
61C22×#2673C221224yescomplemented
62C22×#2679C221112yescomplemented
63C22×#2669C221224yescomplemented
64C22×#2669C221112yescomplemented
65C22×#2669C221224yescomplemented
66C22×#2404C221112yescomplemented
67C22×#2476C221224yescomplemented
68C22×#2431C221112yescomplemented
69C22×#2464C221224yescomplemented
70C22×#2433C221224yescomplemented
71C22×#2459C221224yescomplemented
72C22×#2410C221224yescomplemented
73C22×#2403C221224yescomplemented
74C22×#2613C221224yescomplemented
75C23×#398C2212yescomplemented
76C23×#394C2212yescomplemented
77C23×#394C2212yescomplemented
78C23×#394C2212yescomplemented
79C23×#394C2212yescomplemented
80C23×#394C2212yescomplemented
81C23×#394C2212yescomplemented
82C23×#394C2212yescomplemented
83C23×#394C2212yescomplemented
84C23×#394C2212yescomplemented
85C23×#393C2212yescomplemented
86C23×#392C2212yes—
87C23×#392C2212yes—
88C23×#392C2212yescomplemented
89C23×#392C2212yescomplemented
90C23×#392C2212yescomplemented
91C23×#392C2212yescomplemented
92C23×#392C2212yescomplemented
93C23×#392C2212yescomplemented
94C23×#392C2212yescomplemented
95C23×#392C2212yescomplemented
96C23×#392C2212yescomplemented
97C23×#392C2212yescomplemented
98C23×#392C2212yescomplemented
99C22×#2375C221112yescomplemented
100C23×#391C2211yescharacteristic, complemented
101C23×#390C2211yescharacteristic, complemented
102C23×#390C2212yescomplemented
103C23×#390C2212yescomplemented
104C23×#390C2212yescomplemented
105C23×#388C2212yescomplemented
106C23×#388C2212yescomplemented
107C23×#388C2212yescomplemented
108C23×#388C2212yescomplemented
109C23×#388C2212yescomplemented
110C23×#388C2212yescomplemented
111C23×#388C2212yescomplemented
112C23×#387C2212yescomplemented
113C23×#386C2212yescomplemented
114C23×#386C2211yescharacteristic, complemented
115C23×#386C2211yescharacteristic, complemented
116C23×#386C2212yescomplemented
117C23×#386C2212yescomplemented
118C23×#386C2212yescomplemented
119C23×#386C2212yescomplemented
120C23×#386C2212yescomplemented
121C23×#386C2212yescomplemented
122C23×#386C2212yescomplemented
123C23×#385C2212yescomplemented
124C23×#381C2211yescharacteristic, complemented
125C23×#381C2212yescomplemented
126C23×#379C2212yescomplemented
127C23×#379C2212yescomplemented
128C23×C4×C22⋊C4C2211yescharacteristic, complemented
129C23×C4×C22⋊C4C2212yescomplemented
130C28C2311yescharacteristic
131C28C2312yes—
132C28C2311yescharacteristic
133C28C2311yescharacteristic
134C24×#41—232no—
135C24×#41—416no—
136C24×#41—416no—
137C24×#41C23156yescomplemented
138C25×Q8C2311yescharacteristic
139C25×D4—232no—
140C25×D4—264no—
141C25×D4—264no—
142C25×D4—432no—
143C25×D4—416no—
144C25×D4—416no—
145C25×D4—432no—
146C25×D4—432no—
147C25×D4—432no—
148C25×D4C2312yes—
149C25×D4C2312yes—
150C25×D4C2312yes—
151C25×D4C2312yes—
152C25×D4C2312yes—
153C25×D4C2311yescharacteristic
154C25×D4C2312yes—
155C25×D4C2312yes—
156C25×D4C2312yes—
157C25×D4C2312yes—
158C25×D4C2312yes—
159C25×D4C2312yes—
160C25×D4C2312yes—
161C25×D4C2311yescharacteristic
162C25×D4C2311yescharacteristic
163C25×D4C2312yes—
164C25×D4C2312yes—
165C25×D4C231112yes—
166C25×D4C2312yes—
167C25×D4C2312yes—
168C25×D4C2312yes—
169C25×D4C2311yescharacteristic
170C25×D4C2312yes—
171C25×D4C23156yescomplemented
172C25×D4C231112yescomplemented
173C26×C4C2311yescharacteristic
174C26×C4C2311yescharacteristic
175C26×C4C2312yes—
176C26×C4C2312yes—
177C26×C4C2311yescharacteristic
178C26×C4C2311yescharacteristic
179C22×D42—23584no—
180C22×D42C2311792yescomplemented
181C22×#535—23584no—
182C22×#535C2311792yescomplemented
183C23×#127—232no—
184C23×#127—264no—
185C23×#127—432no—
186C23×#127C23156yes—
187C23×#127C231112yescomplemented
188C23×#127C231112yescomplemented
189C23×#124—264no—
190C23×#124—416no—
191C23×#124C231112yescomplemented
192C23×#124C23156yescomplemented
193C23×#123—432no—
194C23×#123C231112yescomplemented
195C23×#121—264no—
196C23×#121—264no—
197C23×#121—264no—
198C23×#121—264no—
199C23×#121—432no—
200C23×#121—416no—
201C23×#121—432no—
202C23×#121C231112yes—
203C23×#121C231112yescomplemented
204C23×#121C231112yescomplemented
205C23×#121C231112yescomplemented
206C23×#121C23156yescomplemented
207C23×#121C231112yescomplemented
208C23×#121C231112yescomplemented
209C23×#120—232no—
210C23×#120—264no—
211C23×#120—232no—
212C23×#120—232no—
213C23×#120—232no—
214C23×#120—432no—
215C23×#120—432no—
216C23×#120—432no—
217C23×#120—432no—
218C23×#120—432no—
219C23×#120—432no—
220C23×#120—416no—
221C23×#120D4164yescomplemented
222C23×#120C23156yes—
223C23×#120C23156yes—
224C23×#120C23156yescomplemented
225C23×#120C23156yescomplemented
226C23×#120C231112yescomplemented
227C23×#120C23156yescomplemented
228C23×#120C231112yescomplemented
229C23×#120C231112yescomplemented
230C23×#120C231112yescomplemented
231C23×#120C231112yescomplemented
232C23×#120C231112yescomplemented
233C23×#120C231112yescomplemented
234C23×#120C23156yescomplemented
235C23×C4×D4—264no—
236C23×C4×D4C231112yescomplemented
237C23×#117—232no—
238C23×#117C23156yescomplemented
239C24×C4⋊C4C2312yes—
240C24×C4⋊C4C2312yes—
241C24×C4⋊C4C2312yes—
242C24×C4⋊C4C2312yes—
243C24×C4⋊C4C2311yescharacteristic
244C24×C4⋊C4C2312yes—
245C24×C22⋊C4—416no—
246C24×C22⋊C4C2312yes—
247C24×C22⋊C4C2311yescharacteristic
248C24×C22⋊C4C2312yes—
249C24×C22⋊C4C2311yescharacteristic
250C24×C22⋊C4C2312yes—
251C24×C22⋊C4C2312yes—
252C24×C22⋊C4C2312yes—
253C24×C22⋊C4C2312yes—
254C24×C22⋊C4C2312yes—
255C24×C22⋊C4C2312yes—
256C24×C22⋊C4C2312yes—
257C24×C22⋊C4C2312yes—
258C24×C22⋊C4C2312yes—
259C24×C22⋊C4C2312yes—
260C24×C22⋊C4C2312yes—
261C24×C22⋊C4C2312yes—
262C24×C22⋊C4C2312yes—
263C24×C22⋊C4C2312yes—
264C24×C22⋊C4C2312yes—
265C24×C22⋊C4C2312yes—
266C24×C22⋊C4C2312yes—
267C24×C22⋊C4C2312yes—
268C24×C22⋊C4C2312yes—
269C24×C22⋊C4C2312yes—
270C24×C22⋊C4C2312yes—
271C24×C22⋊C4C2311yescharacteristic
272C24×C22⋊C4C2312yes—
273C24×C22⋊C4C2312yes—
274C24×C22⋊C4C2312yes—
275C24×C22⋊C4C2312yes—
276C24×C22⋊C4C2312yes—
277C24×C22⋊C4C2311yescharacteristic
278C24×C22⋊C4C2312yes—
279C24×C22⋊C4C23156yescomplemented
280C24×C42C2312yes—
281C24×C42C2311yescharacteristic
282C24×C42C2312yes—
283C24×C42C2311yescharacteristic
284C2×#2699C2313584yescomplemented
285C2×#2679C2311792yescomplemented
286C2×#2673C2313584yescomplemented
287C2×#2670C2313584yescomplemented
288C2×#2669C2313584yescomplemented
289C2×#2669C2311792yescomplemented
290C2×#2669C2313584yescomplemented
291#49545C23132768yesdirect product factor
292C2×#2404C2311792yescomplemented
293C2×#2476C2313584yescomplemented
294C2×#2431C2311792yescomplemented
295C2×#2464C2313584yescomplemented
296C2×#2433C2313584yescomplemented
297C2×#2459C2313584yescomplemented
298C2×#2410C2313584yescomplemented
299C2×#2403C2313584yescomplemented
300C2×#2613C2313584yescomplemented
301C22×#398C231112yescomplemented
302C22×#394C231112yescomplemented
303C22×#394C231112yescomplemented
304C22×#394C231112yescomplemented
305C22×#394C231112yescomplemented
306C22×#394C231112yescomplemented
307C22×#394C231112yescomplemented
308C22×#394C231112yescomplemented
309C22×#394C231112yescomplemented
310C22×#394C231112yescomplemented
311C22×#393C231112yescomplemented
312C22×#392C231112yes—
313C22×#392C231112yes—
314C22×#392C231112yescomplemented
315C22×#392C231112yescomplemented
316C22×#392C231112yescomplemented
317C22×#392C231112yescomplemented
318C22×#392C231112yescomplemented
319C22×#392C231112yescomplemented
320C22×#392C231112yescomplemented
321C22×#392C231112yescomplemented
322C22×#392C231112yescomplemented
323C22×#392C231112yescomplemented
324C22×#392C231112yescomplemented
325C2×#2375C2311792yescomplemented
326C22×#391C23156yescomplemented
327C22×#390C231112yescomplemented
328C22×#390C23156yescomplemented
329C22×#390C231112yescomplemented
330C22×#390C231112yescomplemented
331C22×#388C231112yescomplemented
332C22×#388C231112yescomplemented
333C22×#388C231112yescomplemented
334C22×#388C231112yescomplemented
335C22×#388C231112yescomplemented
336C22×#388C231112yescomplemented
337C22×#388C231112yescomplemented
338C22×#387C231112yescomplemented
339C22×#386C231112yescomplemented
340C22×#386C231112yescomplemented
341C22×#386C23156yescomplemented
342C22×#386C23156yescomplemented
343C22×#386C231112yescomplemented
344C22×#386C231112yescomplemented
345C22×#386C231112yescomplemented
346C22×#386C231112yescomplemented
347C22×#386C231112yescomplemented
348C22×#386C231112yescomplemented
349C22×#385C231112yescomplemented
350C22×#381C231112yescomplemented
351C22×#381C23156yescomplemented
352C22×#379C231112yescomplemented
353C22×#379C231112yescomplemented
354C22×C4×C22⋊C4C231112yescomplemented
355C22×C4×C22⋊C4C23156yescomplemented
356C23×#95C2312yes—
357C23×#95C2312yes—
358C23×#95C2312yes—
359C23×#95C2312yes—
360C23×#95C2312yes—
361C23×#95C2312yes—
362C23×#95C2312yes—
363C23×#95C2312yes—
364C23×#95C2312yes—
365C23×#95C2312yes—
366C23×#95C2312yes—
367C27—216no—
368C27—232no—
369C27—232no—
370C27—216no—
371C27—232no—
372C27—416no—
373C27—416no—
374C27—48no—
375C27—48no—
376C27—48no—
377C27—48no—
378C27—416no—
379C27—416no—
380C27—416no—
381C27—416no—
382C27—48no—
383C27—48no—
384C27—416no—
385C27—416no—
386C27—416no—
387C27—416no—
388C27C2×D4132yes—
389C27C2411yescharacteristic
390C27C2412yes—
391C27C2412yes—
392C27C2411yescharacteristic
393C27C2411yescharacteristic
394C27C2412yes—
395C27C2412yes—
396C27C24128yes—
397C27C24156yes—
398C27C24128yes—
399C27C24128yes—
400C23×#41—2896no—
401C23×#41—4448no—
402C23×#41—4448no—
403C23×#41—41024no—
404C23×#41C241448yescomplemented
405C24×Q8—216no—
406C24×Q8—216no—
407C24×Q8—48no—
408C24×Q8C24128yes—
409C24×D4—232no—
410C24×D4—232no—
411C24×D4—232no—
412C24×D4—232no—
413C24×D4—232no—
414C24×D4—232no—
415C24×D4—232no—
416C24×D4—232no—
417C24×D4—21792no—
418C24×D4—2896no—
419C24×D4—216no—
420C24×D4—216no—
421C24×D4—232no—
422C24×D4—232no—
423C24×D4—232no—
424C24×D4—232no—
425C24×D4—232no—
426C24×D4—232no—
427C24×D4—232no—
428C24×D4—21792no—
429C24×D4—232no—
430C24×D4—216no—
431C24×D4—232no—
432C24×D4—232no—
433C24×D4—232no—
434C24×D4—232no—
435C24×D4—232no—
436C24×D4—232no—
437C24×D4—216no—
438C24×D4—4896no—
439C24×D4—4448no—
440C24×D4—4448no—
441C24×D4—4896no—
442C24×D4—416no—
443C24×D4—416no—
444C24×D4—416no—
445C24×D4—416no—
446C24×D4—416no—
447C24×D4—416no—
448C24×D4—416no—
449C24×D4—416no—
450C24×D4—416no—
451C24×D4—416no—
452C24×D4—48no—
453C24×D4—48no—
454C24×D4—48no—
455C24×D4—48no—
456C24×D4—48no—
457C24×D4—41024no—
458C24×D4—416no—
459C24×D4—416no—
460C24×D4—416no—
461C24×D4—416no—
462C24×D4—416no—
463C24×D4—416no—
464C24×D4—416no—
465C24×D4—416no—
466C24×D4—416no—
467C24×D4—416no—
468C24×D4—416no—
469C24×D4—416no—
470C24×D4—48no—
471C24×D4—416no—
472C24×D4—416no—
473C24×D4—416no—
474C24×D4—416no—
475C24×D4—416no—
476C24×D4—416no—
477C24×D4—48no—
478C24×D4—416no—
479C24×D4—416no—
480C24×D4—416no—
481C24×D4—4896no—
482C24×D4—4896no—
483C24×D4—42048no—
484C24×D4—42048no—
485C24×D4C2×D4164yes—
486C24×D4C2×D4132yes—
487C24×D4C24156yes—
488C24×D4C24156yes—
489C24×D4C24156yes—
490C24×D4C24156yes—
491C24×D4C24156yes—
492C24×D4C24156yes—
493C24×D4C24156yes—
494C24×D4C24128yes—
495C24×D4C241896yes—
496C24×D4C24156yes—
497C24×D4C24128yes—
498C24×D4C24156yes—
499C24×D4C24156yes—
500C24×D4C24156yes—
501C24×D4C24156yes—
502C24×D4C24128yes—
503C24×D4C24156yes—
504C24×D4C24156yes—
505C24×D4C24156yes—
506C24×D4C24156yes—
507C24×D4C24156yes—
508C24×D4C24156yes—
509C24×D4C24128yes—
510C24×D4C241448yescomplemented
511C24×D4C241896yescomplemented
512C25×C4—216no—
513C25×C4—216no—
514C25×C4—216no—
515C25×C4—232no—
516C25×C4—216no—
517C25×C4—232no—
518C25×C4—216no—
519C25×C4—232no—
520C25×C4—232no—
521C25×C4—216no—
522C25×C4—216no—
523C25×C4—416no—
524C25×C4—416no—
525C25×C4—48no—
526C25×C4—48no—
527C25×C4—48no—
528C25×C4—416no—
529C25×C4C24128yes—
530C25×C4C2412yes—
531C25×C4C2411yescharacteristic
532C25×C4C2412yes—
533C25×C4C2412yes—
534C25×C4C2412yes—
535C25×C4C2412yes—
536C25×C4C2412yes—
537C25×C4C24156yes—
538C25×C4C24156yes—
539C25×C4C24128yes—
540C25×C4C24128yes—
541C25×C4C2412yes—
542C25×C4C2411yescharacteristic
543C25×C4C2411yescharacteristic
544C25×C4C2412yes—
545C25×C4C2411yescharacteristic
546C25×C4C24128yes—
547C2×D42—228672no—
548C2×D42C2414096yescomplemented
549C2×#535—228672no—
550C2×#535C2414096yescomplemented
551C22×#127—2896no—
552C22×#127—21792no—
553C22×#127—4896no—
554C22×#127C241448yes—
555C22×#127C241896yescomplemented
556C22×#127C241896yescomplemented
557C22×#124—21792no—
558C22×#124—4448no—
559C22×#124C241896yescomplemented
560C22×#124C241448yescomplemented
561C22×#123—4896no—
562C22×#123C241896yescomplemented
563C22×#121—21792no—
564C22×#121—21792no—
565C22×#121—21792no—
566C22×#121—21792no—
567C22×#121—4448no—
568C22×#121—4896no—
569C22×#121—4896no—
570C22×#121C241896yes—
571C22×#121C241896yescomplemented
572C22×#121C241896yescomplemented
573C22×#121C241896yescomplemented
574C22×#121C241896yescomplemented
575C22×#121C241896yescomplemented
576C22×#121C241448yescomplemented
577C22×#120—2896no—
578C22×#120—2896no—
579C22×#120—2896no—
580C22×#120—2896no—
581C22×#120—21792no—
582C22×#120—4896no—
583C22×#120—4448no—
584C22×#120—4896no—
585C22×#120—4896no—
586C22×#120—4896no—
587C22×#120—4896no—
588C22×#120—4896no—
589C22×#120C2×D411792yescomplemented
590C22×#120C241448yes—
591C22×#120C241448yes—
592C22×#120C241448yescomplemented
593C22×#120C241896yescomplemented
594C22×#120C241448yescomplemented
595C22×#120C241448yescomplemented
596C22×#120C241896yescomplemented
597C22×#120C241896yescomplemented
598C22×#120C241896yescomplemented
599C22×#120C241896yescomplemented
600C22×#120C241896yescomplemented
601C22×#120C241448yescomplemented
602C22×#120C241896yescomplemented
603C22×C4×D4—21792no—
604C22×C4×D4C241896yescomplemented
605C22×#117—2896no—
606C22×#117C241448yescomplemented
607C23×C4⋊C4—232no—
608C23×C4⋊C4—232no—
609C23×C4⋊C4—232no—
610C23×C4⋊C4—416no—
611C23×C4⋊C4—48no—
612C23×C4⋊C4—416no—
613C23×C4⋊C4C24156yes—
614C23×C4⋊C4C24156yes—
615C23×C4⋊C4C24156yes—
616C23×C4⋊C4C24156yes—
617C23×C4⋊C4C24128yes—
618C23×C4⋊C4C24156yes—
619C23×C22⋊C4—216no—
620C23×C22⋊C4—216no—
621C23×C22⋊C4—232no—
622C23×C22⋊C4—232no—
623C23×C22⋊C4—232no—
624C23×C22⋊C4—232no—
625C23×C22⋊C4—232no—
626C23×C22⋊C4—232no—
627C23×C22⋊C4—232no—
628C23×C22⋊C4—232no—
629C23×C22⋊C4—232no—
630C23×C22⋊C4—232no—
631C23×C22⋊C4—232no—
632C23×C22⋊C4—232no—
633C23×C22⋊C4—232no—
634C23×C22⋊C4—4448no—
635C23×C22⋊C4—416no—
636C23×C22⋊C4—416no—
637C23×C22⋊C4—416no—
638C23×C22⋊C4—416no—
639C23×C22⋊C4—416no—
640C23×C22⋊C4—416no—
641C23×C22⋊C4—416no—
642C23×C22⋊C4—416no—
643C23×C22⋊C4—416no—
644C23×C22⋊C4—416no—
645C23×C22⋊C4—48no—
646C23×C22⋊C4—416no—
647C23×C22⋊C4—416no—
648C23×C22⋊C4—416no—
649C23×C22⋊C4—416no—
650C23×C22⋊C4—416no—
651C23×C22⋊C4C2×D4132yes—
652C23×C22⋊C4C2×D4164yes—
653C23×C22⋊C4C24156yes—
654C23×C22⋊C4C24128yes—
655C23×C22⋊C4C24156yes—
656C23×C22⋊C4C24128yes—
657C23×C22⋊C4C24156yes—
658C23×C22⋊C4C24156yes—
659C23×C22⋊C4C24156yes—
660C23×C22⋊C4C24156yes—
661C23×C22⋊C4C24156yes—
662C23×C22⋊C4C24156yes—
663C23×C22⋊C4C24156yes—
664C23×C22⋊C4C24156yes—
665C23×C22⋊C4C24156yes—
666C23×C22⋊C4C24156yes—
667C23×C22⋊C4C24156yes—
668C23×C22⋊C4C24156yes—
669C23×C22⋊C4C24156yes—
670C23×C22⋊C4C24156yes—
671C23×C22⋊C4C24156yes—
672C23×C22⋊C4C24156yes—
673C23×C22⋊C4C24156yes—
674C23×C22⋊C4C24156yes—
675C23×C22⋊C4C24128yes—
676C23×C22⋊C4C24156yes—
677C23×C22⋊C4C24156yes—
678C23×C22⋊C4C24156yes—
679C23×C22⋊C4C24156yes—
680C23×C22⋊C4C24156yes—
681C23×C22⋊C4C24156yes—
682C23×C22⋊C4C24156yes—
683C23×C22⋊C4C24156yes—
684C23×C22⋊C4C24128yes—
685C23×C22⋊C4C24156yes—
686C23×C22⋊C4C241448yescomplemented
687C23×C42—232no—
688C23×C42—216no—
689C23×C42—48no—
690C23×C42—416no—
691C23×C42C24156yes—
692C23×C42C24128yes—
693C23×C42C24128yes—
694C23×C42C24156yes—
695#2699C2418192yescomplemented
696#2679C2414096yescomplemented
697#2673C2418192yescomplemented
698#2670C2418192yescomplemented
699#2669C2418192yescomplemented
700#2669C2414096yescomplemented
701#2669C2418192yescomplemented
702#2613C2418192yescomplemented
703#2476C2418192yescomplemented
704#2464C2418192yescomplemented
705#2459C2418192yescomplemented
706#2433C2418192yescomplemented
707#2431C2414096yescomplemented
708#2410C2418192yescomplemented
709#2404C2414096yescomplemented
710#2403C2418192yescomplemented
711C2×#398C241896yescomplemented
712C2×#394C241896yescomplemented
713C2×#394C241896yescomplemented
714C2×#394C241896yescomplemented
715C2×#394C241896yescomplemented
716C2×#394C241896yescomplemented
717C2×#394C241896yescomplemented
718C2×#394C241896yescomplemented
719C2×#394C241896yescomplemented
720C2×#394C241896yescomplemented
721C2×#393C241896yescomplemented
722C2×#392C241896yes—
723C2×#392C241896yes—
724C2×#392C241896yescomplemented
725C2×#392C241896yescomplemented
726C2×#392C241896yescomplemented
727C2×#392C241896yescomplemented
728C2×#392C241896yescomplemented
729C2×#392C241896yescomplemented
730C2×#392C241896yescomplemented
731C2×#392C241896yescomplemented
732C2×#392C241896yescomplemented
733C2×#392C241896yescomplemented
734C2×#392C241896yescomplemented
735#2375C2414096yescomplemented
736C2×#391C241448yescomplemented
737C2×#390C241896yescomplemented
738C2×#390C241448yescomplemented
739C2×#390C241896yescomplemented
740C2×#390C241896yescomplemented
741C2×#388C241896yescomplemented
742C2×#388C241896yescomplemented
743C2×#388C241896yescomplemented
744C2×#388C241896yescomplemented
745C2×#388C241896yescomplemented
746C2×#388C241896yescomplemented
747C2×#388C241896yescomplemented
748C2×#387C241896yescomplemented
749C2×#386C241896yescomplemented
750C2×#386C241448yescomplemented
751C2×#386C241896yescomplemented
752C2×#386C241896yescomplemented
753C2×#386C241896yescomplemented
754C2×#386C241896yescomplemented
755C2×#386C241896yescomplemented
756C2×#386C241896yescomplemented
757C2×#386C241896yescomplemented
758C2×#386C241448yescomplemented
759C2×#385C241896yescomplemented
760C2×#381C241896yescomplemented
761C2×#381C241448yescomplemented
762C2×#379C241896yescomplemented
763C2×#379C241896yescomplemented
764C2×C4×C22⋊C4C241896yescomplemented
765C2×C4×C22⋊C4C241448yescomplemented
766C22×#95C24156yes—
767C22×#95C24156yes—
768C22×#95C24156yes—
769C22×#95C24156yes—
770C22×#95C24156yes—
771C22×#95C24156yes—
772C22×#95C24156yes—
773C22×#95C24156yes—
774C22×#95C24156yes—
775C22×#95C24156yes—
776C22×#95C24156yes—
777C26—216no—
778C26—28no—
779C26—28no—
780C26—28no—
781C26—216no—
782C26—216no—
783C26—216no—
784C26—28no—
785C26—216no—
786C26—216no—
787C26—216no—
788C26—216no—
789C26—216no—
790C26—216no—
791C26—216no—
792C26—216no—
793C26—216no—
794C26—216no—
795C26—216no—
796C26—216no—
797C26—28no—
798C26—216no—
799C26—216no—
800C26—28no—
801C26—28no—
802C26—216no—
803C26—216no—
804C26—216no—
805C26—216no—
806C26—216no—
807C26—216no—
808C26—216no—
809C26—216no—
810C26—216no—
811C26—216no—
812C26—216no—
813C26—216no—
814C26—216no—
815C26—216no—
816C26—2224no—
817C26—2448no—
818C26—2448no—
819C26—2224no—
820C26—2448no—
821C26—4256no—
822C26—4512no—
823C26—4224no—
824C26—4224no—
825C26—4224no—
826C26—4224no—
827C26—4112no—
828C26—4112no—
829C26—4224no—
830C26—4224no—
831C26—4112no—
832C26—4112no—
833C26—4112no—
834C26—4224no—
835C26—4112no—
836C26—4224no—
837C26—4224no—
838C26—4224no—
839C26—4512no—
840C26—4512no—
841C26—4256no—
842C26—4256no—
843C26—4512no—
844C26—8128no—
845C26—8256no—
846C26—8256no—
847C26—8256no—
848C26—8256no—
849C26—8256no—
850C26—8128no—
851C26—8128no—
852C26—8256no—
853C26—8256no—
854C26—8256no—
855C26—8128no—
856C26—8128no—
857C26—8256no—
858C26—8128no—
859C26C22×D4116yes—
860C26C22×D4116yes—
861C26C22×D4132yes—
862C26C22×D41448yes—
863C26H(5,𝔽2)132yes—
864C26C25114yes—
865C26C25128yes—
866C26C25128yes—
867C26C25114yes—
868C26C25128yes—
869C26C25114yes—
870C26C25128yes—
871C26C251112yes—
872C26C251224yes—
873C26C251112yes—
874C26C251112yes—
875C26C2511yescharacteristic
876C22×#41—23584no—
877C22×#41—41792no—
878C22×#41—41792no—
879C22×#41—414336no—
880C22×#41C251512yescomplemented
881C23×Q8—2224no—
882C23×Q8—2224no—
883C23×Q8—4112no—
884C23×Q8—4256no—
885C23×Q8C251112yes—
886C23×D4—21024no—
887C23×D4—2448no—
888C23×D4—2448no—
889C23×D4—2448no—
890C23×D4—2448no—
891C23×D4—2448no—
892C23×D4—2448no—
893C23×D4—2448no—
894C23×D4—2448no—
895C23×D4—27168no—
896C23×D4—23584no—
897C23×D4—2224no—
898C23×D4—2224no—
899C23×D4—2448no—
900C23×D4—2448no—
901C23×D4—2448no—
902C23×D4—2448no—
903C23×D4—2448no—
904C23×D4—2448no—
905C23×D4—2448no—
906C23×D4—27168no—
907C23×D4—2448no—
908C23×D4—2224no—
909C23×D4—2448no—
910C23×D4—2448no—
911C23×D4—2448no—
912C23×D4—2448no—
913C23×D4—2448no—
914C23×D4—2448no—
915C23×D4—2224no—
916C23×D4—43584no—
917C23×D4—41792no—
918C23×D4—41792no—
919C23×D4—43584no—
920C23×D4—4512no—
921C23×D4—4224no—
922C23×D4—4224no—
923C23×D4—4224no—
924C23×D4—4224no—
925C23×D4—4224no—
926C23×D4—4224no—
927C23×D4—4224no—
928C23×D4—4224no—
929C23×D4—4224no—
930C23×D4—4224no—
931C23×D4—4256no—
932C23×D4—4112no—
933C23×D4—4112no—
934C23×D4—4112no—
935C23×D4—4112no—
936C23×D4—4112no—
937C23×D4—4512no—
938C23×D4—4512no—
939C23×D4—4512no—
940C23×D4—4512no—
941C23×D4—4512no—
942C23×D4—4256no—
943C23×D4—414336no—
944C23×D4—4224no—
945C23×D4—4224no—
946C23×D4—4224no—
947C23×D4—4224no—
948C23×D4—4224no—
949C23×D4—4224no—
950C23×D4—4224no—
951C23×D4—4224no—
952C23×D4—4224no—
953C23×D4—4224no—
954C23×D4—4224no—
955C23×D4—4224no—
956C23×D4—4112no—
957C23×D4—4224no—
958C23×D4—4224no—
959C23×D4—4224no—
960C23×D4—4224no—
961C23×D4—4224no—
962C23×D4—4224no—
963C23×D4—4112no—
964C23×D4—4224no—
965C23×D4—4224no—
966C23×D4—4224no—
967C23×D4—43584no—
968C23×D4—43584no—
969C23×D4—428672no—
970C23×D4—428672no—
971C23×D4—4512no—
972C23×D4—4512no—
973C23×D4—4256no—
974C23×D4—8256no—
975C23×D4—8128no—
976C23×D4—8256no—
977C23×D4—8256no—
978C23×D4—8256no—
979C23×D4—8256no—
980C23×D4—8256no—
981C23×D4—8256no—
982C23×D4—8256no—
983C23×D4—8256no—
984C23×D4C22×D41896yes—
985C23×D4C22×D41448yes—
986C23×D4C251224yes—
987C23×D4C251224yes—
988C23×D4C251224yes—
989C23×D4C251224yes—
990C23×D4C251224yes—
991C23×D4C251224yes—
992C23×D4C251224yes—
993C23×D4C251112yes—
994C23×D4C2511024yes—
995C23×D4C251224yes—
996C23×D4C251112yes—
997C23×D4C251224yes—
998C23×D4C251224yes—
999C23×D4C251224yes—
1000C23×D4C251112yes—
1001C23×D4C251224yes—
1002C23×D4C251224yes—
1003C23×D4C251224yes—
1004C23×D4C251224yes—
1005C23×D4C251224yes—
1006C23×D4C251224yes—
1007C23×D4C251224yes—
1008C23×D4C251112yes—
1009C23×D4C251512yescomplemented
1010C23×D4C2511024yescomplemented
1011C24×C4—2512no—
1012C24×C4—28no—
1013C24×C4—216no—
1014C24×C4—28no—
1015C24×C4—2224no—
1016C24×C4—28no—
1017C24×C4—28no—
1018C24×C4—216no—
1019C24×C4—28no—
1020C24×C4—216no—
1021C24×C4—216no—
1022C24×C4—28no—
1023C24×C4—2224no—
1024C24×C4—2224no—
1025C24×C4—216no—
1026C24×C4—2448no—
1027C24×C4—28no—
1028C24×C4—2224no—
1029C24×C4—216no—
1030C24×C4—216no—
1031C24×C4—28no—
1032C24×C4—216no—
1033C24×C4—28no—
1034C24×C4—216no—
1035C24×C4—216no—
1036C24×C4—216no—
1037C24×C4—216no—
1038C24×C4—216no—
1039C24×C4—216no—
1040C24×C4—216no—
1041C24×C4—216no—
1042C24×C4—216no—
1043C24×C4—216no—
1044C24×C4—216no—
1045C24×C4—216no—
1046C24×C4—216no—
1047C24×C4—216no—
1048C24×C4—2448no—
1049C24×C4—2224no—
1050C24×C4—2448no—
1051C24×C4—2448no—
1052C24×C4—2224no—
1053C24×C4—2224no—
1054C24×C4—4224no—
1055C24×C4—4224no—
1056C24×C4—4112no—
1057C24×C4—4112no—
1058C24×C4—4512no—
1059C24×C4—4256no—
1060C24×C4—4112no—
1061C24×C4—4224no—
1062C24×C4—4512no—
1063C24×C4—4256no—
1064C24×C4—8128no—
1065C24×C4C22×D4132yes—
1066C24×C4C22×D4116yes—
1067C24×C4H(5,𝔽2)116yes—
1068C24×C4H(5,𝔽2)132yes—
1069C24×C4H(5,𝔽2)116yes—
1070C24×C4C25128yes—
1071C24×C4C25114yes—
1072C24×C4C25128yes—
1073C24×C4C251112yes—
1074C24×C4C25128yes—
1075C24×C4C25128yes—
1076C24×C4C25128yes—
1077C24×C4C25128yes—
1078C24×C4C251224yes—
1079C24×C4C251224yes—
1080C24×C4C251112yes—
1081C24×C4C251112yes—
1082C24×C4C25128yes—
1083C24×C4C25114yes—
1084C24×C4C25114yes—
1085C24×C4C25128yes—
1086C24×C4C25114yes—
1087C24×C4C251112yes—
1088D42—232768no—
1089#535—232768no—
1090C2×#127—23584no—
1091C2×#127—27168no—
1092C2×#127—43584no—
1093C2×#127C251512yes—
1094C2×#127C2511024yescomplemented
1095C2×#127C2511024yescomplemented
1096C2×#124—27168no—
1097C2×#124—41792no—
1098C2×#124C2511024yescomplemented
1099C2×#124C251512yescomplemented
1100C2×#123—43584no—
1101C2×#123C2511024yescomplemented
1102C2×#121—27168no—
1103C2×#121—27168no—
1104C2×#121—27168no—
1105C2×#121—27168no—
1106C2×#121—41792no—
1107C2×#121—43584no—
1108C2×#121—43584no—
1109C2×#121C2511024yes—
1110C2×#121C2511024yescomplemented
1111C2×#121C2511024yescomplemented
1112C2×#121C2511024yescomplemented
1113C2×#121C2511024yescomplemented
1114C2×#121C251512yescomplemented
1115C2×#121C2511024yescomplemented
1116C2×#120—23584no—
1117C2×#120—23584no—
1118C2×#120—23584no—
1119C2×#120—23584no—
1120C2×#120—27168no—
1121C2×#120—43584no—
1122C2×#120—41792no—
1123C2×#120—43584no—
1124C2×#120—43584no—
1125C2×#120—43584no—
1126C2×#120—43584no—
1127C2×#120—43584no—
1128C2×#120C22×D417168yescomplemented
1129C2×#120C251512yes—
1130C2×#120C251512yes—
1131C2×#120C251512yescomplemented
1132C2×#120C251512yescomplemented
1133C2×#120C2511024yescomplemented
1134C2×#120C251512yescomplemented
1135C2×#120C2511024yescomplemented
1136C2×#120C2511024yescomplemented
1137C2×#120C2511024yescomplemented
1138C2×#120C2511024yescomplemented
1139C2×#120C2511024yescomplemented
1140C2×#120C251512yescomplemented
1141C2×#120C2511024yescomplemented
1142C2×C4×D4—27168no—
1143C2×C4×D4C2511024yescomplemented
1144C2×#117—23584no—
1145C2×#117C251512yescomplemented
1146C22×C4⋊C4—2448no—
1147C22×C4⋊C4—2448no—
1148C22×C4⋊C4—2448no—
1149C22×C4⋊C4—4224no—
1150C22×C4⋊C4—4112no—
1151C22×C4⋊C4—4224no—
1152C22×C4⋊C4C251224yes—
1153C22×C4⋊C4C251224yes—
1154C22×C4⋊C4C251224yes—
1155C22×C4⋊C4C251224yes—
1156C22×C4⋊C4C251112yes—
1157C22×C4⋊C4C251224yes—
1158C22×C22⋊C4—2224no—
1159C22×C22⋊C4—2224no—
1160C22×C22⋊C4—2448no—
1161C22×C22⋊C4—2448no—
1162C22×C22⋊C4—2448no—
1163C22×C22⋊C4—2448no—
1164C22×C22⋊C4—2448no—
1165C22×C22⋊C4—2448no—
1166C22×C22⋊C4—2448no—
1167C22×C22⋊C4—2448no—
1168C22×C22⋊C4—2448no—
1169C22×C22⋊C4—2448no—
1170C22×C22⋊C4—2448no—
1171C22×C22⋊C4—2448no—
1172C22×C22⋊C4—2448no—
1173C22×C22⋊C4—41792no—
1174C22×C22⋊C4—4224no—
1175C22×C22⋊C4—4224no—
1176C22×C22⋊C4—4224no—
1177C22×C22⋊C4—4112no—
1178C22×C22⋊C4—4224no—
1179C22×C22⋊C4—4224no—
1180C22×C22⋊C4—4224no—
1181C22×C22⋊C4—4224no—
1182C22×C22⋊C4—4224no—
1183C22×C22⋊C4—4224no—
1184C22×C22⋊C4—4224no—
1185C22×C22⋊C4—4224no—
1186C22×C22⋊C4—4224no—
1187C22×C22⋊C4—4224no—
1188C22×C22⋊C4—4224no—
1189C22×C22⋊C4—4224no—
1190C22×C22⋊C4C22×D41448yes—
1191C22×C22⋊C4C22×D41896yes—
1192C22×C22⋊C4C251224yes—
1193C22×C22⋊C4C251224yes—
1194C22×C22⋊C4C251224yes—
1195C22×C22⋊C4C251224yes—
1196C22×C22⋊C4C251224yes—
1197C22×C22⋊C4C251224yes—
1198C22×C22⋊C4C251224yes—
1199C22×C22⋊C4C251224yes—
1200C22×C22⋊C4C251224yes—
1201C22×C22⋊C4C251224yes—
1202C22×C22⋊C4C251224yes—
1203C22×C22⋊C4C251112yes—
1204C22×C22⋊C4C251224yes—
1205C22×C22⋊C4C251112yes—
1206C22×C22⋊C4C251224yes—
1207C22×C22⋊C4C251224yes—
1208C22×C22⋊C4C251224yes—
1209C22×C22⋊C4C251224yes—
1210C22×C22⋊C4C251224yes—
1211C22×C22⋊C4C251224yes—
1212C22×C22⋊C4C251224yes—
1213C22×C22⋊C4C251224yes—
1214C22×C22⋊C4C251224yes—
1215C22×C22⋊C4C251112yes—
1216C22×C22⋊C4C251224yes—
1217C22×C22⋊C4C251224yes—
1218C22×C22⋊C4C251224yes—
1219C22×C22⋊C4C251224yes—
1220C22×C22⋊C4C251224yes—
1221C22×C22⋊C4C251224yes—
1222C22×C22⋊C4C251224yes—
1223C22×C22⋊C4C251112yes—
1224C22×C22⋊C4C251224yes—
1225C22×C22⋊C4C251512yescomplemented
1226C22×C42—2448no—
1227C22×C42—2224no—
1228C22×C42—4112no—
1229C22×C42—4224no—
1230C22×C42C251224yes—
1231C22×C42C251112yes—
1232C22×C42C251112yes—
1233C22×C42C251224yes—
1234#398C2511024yescomplemented
1235#394C2511024yescomplemented
1236#394C2511024yescomplemented
1237#394C2511024yescomplemented
1238#394C2511024yescomplemented
1239#394C2511024yescomplemented
1240#394C2511024yescomplemented
1241#394C2511024yescomplemented
1242#394C2511024yescomplemented
1243#394C2511024yescomplemented
1244#393C2511024yescomplemented
1245#392C2511024yes—
1246#392C2511024yes—
1247#392C2511024yescomplemented
1248#392C2511024yescomplemented
1249#392C2511024yescomplemented
1250#392C2511024yescomplemented
1251#392C2511024yescomplemented
1252#392C2511024yescomplemented
1253#392C2511024yescomplemented
1254#392C2511024yescomplemented
1255#392C2511024yescomplemented
1256#392C2511024yescomplemented
1257#392C2511024yescomplemented
1258#391C251512yescomplemented
1259#390C251512yescomplemented
1260#390C2511024yescomplemented
1261#390C2511024yescomplemented
1262#390C2511024yescomplemented
1263#388C2511024yescomplemented
1264#388C2511024yescomplemented
1265#388C2511024yescomplemented
1266#388C2511024yescomplemented
1267#388C2511024yescomplemented
1268#388C2511024yescomplemented
1269#388C2511024yescomplemented
1270#387C2511024yescomplemented
1271#386C251512yescomplemented
1272#386C2511024yescomplemented
1273#386C2511024yescomplemented
1274#386C2511024yescomplemented
1275#386C2511024yescomplemented
1276#386C2511024yescomplemented
1277#386C2511024yescomplemented
1278#386C251512yescomplemented
1279#386C2511024yescomplemented
1280#386C2511024yescomplemented
1281#385C2511024yescomplemented
1282#381C2511024yescomplemented
1283#381C251512yescomplemented
1284#379C2511024yescomplemented
1285#379C2511024yescomplemented
1286C4×C22⋊C4C251512yescomplemented
1287C4×C22⋊C4C2511024yescomplemented
1288C2×#95C251224yes—
1289C2×#95C251224yes—
1290C2×#95C251224yes—
1291C2×#95C251224yes—
1292C2×#95C251224yes—
1293C2×#95C251224yes—
1294C2×#95C251224yes—
1295C2×#95C251224yes—
1296C2×#95C251224yes—
1297C2×#95C251224yes—
1298C2×#95C251224yes—
1299C25—2112no—
1300C25—2112no—
1301C25—2112no—
1302C25—2112no—
1303C25—256no—
1304C25—2112no—
1305C25—2112no—
1306C25—2112no—
1307C25—2112no—
1308C25—2112no—
1309C25—2112no—
1310C25—2112no—
1311C25—256no—
1312C25—2112no—
1313C25—256no—
1314C25—256no—
1315C25—2112no—
1316C25—2112no—
1317C25—2112no—
1318C25—2112no—
1319C25—2128no—
1320C25—2128no—
1321C25—2256no—
1322C25—2256no—
1323C25—2256no—
1324C25—2256no—
1325C25—2256no—
1326C25—2256no—
1327C25—2256no—
1328C25—2256no—
1329C25—2112no—
1330C25—2112no—
1331C25—256no—
1332C25—2112no—
1333C25—2112no—
1334C25—2112no—
1335C25—2112no—
1336C25—2112no—
1337C25—2112no—
1338C25—2112no—
1339C25—2112no—
1340C25—2112no—
1341C25—256no—
1342C25—256no—
1343C25—2112no—
1344C25—2112no—
1345C25—2112no—
1346C25—2112no—
1347C25—2112no—
1348C25—2448no—
1349C25—2896no—
1350C25—2896no—
1351C25—2448no—
1352C25—2896no—
1353C25—4224no—
1354C25—41792no—
1355C25—43584no—
1356C25—4448no—
1357C25—4448no—
1358C25—4448no—
1359C25—4448no—
1360C25—4224no—
1361C25—4224no—
1362C25—4448no—
1363C25—4448no—
1364C25—4224no—
1365C25—4224no—
1366C25—4448no—
1367C25—4224no—
1368C25—4448no—
1369C25—4448no—
1370C25—4448no—
1371C25—43584no—
1372C25—43584no—
1373C25—41792no—
1374C25—41792no—
1375C25—43584no—
1376C25—4128no—
1377C25—4128no—
1378C25—464no—
1379C25—464no—
1380C25—4128no—
1381C25—4128no—
1382C25—4128no—
1383C25—4128no—
1384C25—4128no—
1385C25—4128no—
1386C25—464no—
1387C25—4128no—
1388C25—464no—
1389C25—4128no—
1390C25—464no—
1391C25—4128no—
1392C25—4128no—
1393C25—4128no—
1394C25—4128no—
1395C25—4128no—
1396C25—4128no—
1397C25—4128no—
1398C25—464no—
1399C25—4128no—
1400C25—4128no—
1401C25—4128no—
1402C25—4128no—
1403C25—4128no—
1404C25—4128no—
1405C25—4128no—
1406C25—4128no—
1407C25—4128no—
1408C25—464no—
1409C25—81792no—
1410C25—81792no—
1411C25—81792no—
1412C25—8896no—
1413C25—81792no—
1414C25—81792no—
1415C25—8896no—
1416C25—8896no—
1417C25—81792no—
1418C25—81792no—
1419C25—81792no—
1420C25—8896no—
1421C25—8896no—
1422C25—81792no—
1423C25—8896no—
1424C25—84096no—
1425C25—84096no—
1426C25—88192no—
1427C25—84096no—
1428C25C23×D41112yes—
1429C25C23×D41224yes—
1430C25C23×D41112yes—
1431C25C23×D41896yes—
1432C25C23×D418yes—
1433C25C2×H(5,𝔽2)1224yes—
1434C25C2×H(5,𝔽2)116yes—
1435C25C2×H(5,𝔽2)18yes—
1436C25C2×H(5,𝔽2)18yes—
1437C25C2×H(5,𝔽2)116yes—
1438C25C26156yes—
1439C25C26156yes—
1440C25C26128yes—
1441C25C26156yes—
1442C25C26128yes—
1443C25C26128yes—
1444C25C26156yes—
1445C25C26164yes—
1446C25C261128yes—
1447C25C26164yes—
1448C25C26164yes—
1449C25C2617yes—
1450C2×#41—22048no—
1451C2×#41—41024no—
1452C2×#41—41024no—
1453C2×#41—428672no—
1454C22×Q8—2448no—
1455C22×Q8—2448no—
1456C22×Q8—4224no—
1457C22×Q8—41792no—
1458C22×Q8C26164yes—
1459C22×D4—27168no—
1460C22×D4—2896no—
1461C22×D4—2896no—
1462C22×D4—2448no—
1463C22×D4—2896no—
1464C22×D4—2896no—
1465C22×D4—2896no—
1466C22×D4—2896no—
1467C22×D4—2896no—
1468C22×D4—2896no—
1469C22×D4—2448no—
1470C22×D4—22048no—
1471C22×D4—24096no—
1472C22×D4—2896no—
1473C22×D4—2896no—
1474C22×D4—2896no—
1475C22×D4—2896no—
1476C22×D4—2896no—
1477C22×D4—2896no—
1478C22×D4—2896no—
1479C22×D4—24096no—
1480C22×D4—2896no—
1481C22×D4—2448no—
1482C22×D4—2896no—
1483C22×D4—2896no—
1484C22×D4—2896no—
1485C22×D4—2896no—
1486C22×D4—2896no—
1487C22×D4—2448no—
1488C22×D4—2896no—
1489C22×D4—42048no—
1490C22×D4—41024no—
1491C22×D4—41024no—
1492C22×D4—42048no—
1493C22×D4—43584no—
1494C22×D4—4448no—
1495C22×D4—4448no—
1496C22×D4—4448no—
1497C22×D4—4448no—
1498C22×D4—4448no—
1499C22×D4—4448no—
1500C22×D4—4448no—
1501C22×D4—4448no—
1502C22×D4—4448no—
1503C22×D4—4448no—
1504C22×D4—41792no—
1505C22×D4—4224no—
1506C22×D4—4224no—
1507C22×D4—4224no—
1508C22×D4—4224no—
1509C22×D4—4224no—
1510C22×D4—43584no—
1511C22×D4—43584no—
1512C22×D4—43584no—
1513C22×D4—43584no—
1514C22×D4—43584no—
1515C22×D4—41792no—
1516C22×D4—428672no—
1517C22×D4—4448no—
1518C22×D4—4448no—
1519C22×D4—4448no—
1520C22×D4—4448no—
1521C22×D4—4448no—
1522C22×D4—4448no—
1523C22×D4—4448no—
1524C22×D4—4448no—
1525C22×D4—4448no—
1526C22×D4—4448no—
1527C22×D4—4448no—
1528C22×D4—4448no—
1529C22×D4—4224no—
1530C22×D4—4448no—
1531C22×D4—4448no—
1532C22×D4—4448no—
1533C22×D4—4448no—
1534C22×D4—4448no—
1535C22×D4—4448no—
1536C22×D4—4224no—
1537C22×D4—4448no—
1538C22×D4—4448no—
1539C22×D4—4448no—
1540C22×D4—42048no—
1541C22×D4—42048no—
1542C22×D4—457344no—
1543C22×D4—457344no—
1544C22×D4—43584no—
1545C22×D4—43584no—
1546C22×D4—41792no—
1547C22×D4—81792no—
1548C22×D4—8896no—
1549C22×D4—81792no—
1550C22×D4—81792no—
1551C22×D4—81792no—
1552C22×D4—81792no—
1553C22×D4—81792no—
1554C22×D4—81792no—
1555C22×D4—81792no—
1556C22×D4—81792no—
1557C22×D4C23×D41896yes—
1558C22×D4C23×D411792yes—
1559C22×D4C261128yes—
1560C22×D4C261128yes—
1561C22×D4C261128yes—
1562C22×D4C261128yes—
1563C22×D4C261128yes—
1564C22×D4C261128yes—
1565C22×D4C26164yes—
1566C22×D4C261128yes—
1567C22×D4C261128yes—
1568C22×D4C261128yes—
1569C22×D4C261128yes—
1570C22×D4C261128yes—
1571C22×D4C26164yes—
1572C22×D4C261128yes—
1573C22×D4C26164yes—
1574C22×D4C261128yes—
1575C22×D4C261128yes—
1576C22×D4C261128yes—
1577C22×D4C261128yes—
1578C22×D4C261128yes—
1579C22×D4C26164yes—
1580C22×D4C261128yes—
1581C23×C4—23584no—
1582C23×C4—256no—
1583C23×C4—2112no—
1584C23×C4—2448no—
1585C23×C4—256no—
1586C23×C4—2112no—
1587C23×C4—256no—
1588C23×C4—256no—
1589C23×C4—256no—
1590C23×C4—2112no—
1591C23×C4—2112no—
1592C23×C4—256no—
1593C23×C4—2128no—
1594C23×C4—2128no—
1595C23×C4—2256no—
1596C23×C4—2256no—
1597C23×C4—2128no—
1598C23×C4—2448no—
1599C23×C4—2448no—
1600C23×C4—256no—
1601C23×C4—2112no—
1602C23×C4—2112no—
1603C23×C4—2896no—
1604C23×C4—2448no—
1605C23×C4—2112no—
1606C23×C4—2112no—
1607C23×C4—2112no—
1608C23×C4—2112no—
1609C23×C4—2112no—
1610C23×C4—2112no—
1611C23×C4—2112no—
1612C23×C4—2112no—
1613C23×C4—2112no—
1614C23×C4—2112no—
1615C23×C4—2112no—
1616C23×C4—256no—
1617C23×C4—2112no—
1618C23×C4—256no—
1619C23×C4—2112no—
1620C23×C4—2112no—
1621C23×C4—2112no—
1622C23×C4—2112no—
1623C23×C4—2896no—
1624C23×C4—2448no—
1625C23×C4—2448no—
1626C23×C4—2896no—
1627C23×C4—2448no—
1628C23×C4—2896no—
1629C23×C4—4448no—
1630C23×C4—4448no—
1631C23×C4—4224no—
1632C23×C4—4224no—
1633C23×C4—43584no—
1634C23×C4—41792no—
1635C23×C4—4224no—
1636C23×C4—4448no—
1637C23×C4—43584no—
1638C23×C4—41792no—
1639C23×C4—4128no—
1640C23×C4—464no—
1641C23×C4—4128no—
1642C23×C4—4128no—
1643C23×C4—4128no—
1644C23×C4—4128no—
1645C23×C4—4128no—
1646C23×C4—8896no—
1647C23×C4C23×D41112yes—
1648C23×C4C23×D41224yes—
1649C23×C4C2×H(5,𝔽2)1112yes—
1650C23×C4C2×H(5,𝔽2)1112yes—
1651C23×C4C2×H(5,𝔽2)1224yes—
1652C23×C4C26156yes—
1653C23×C4C26156yes—
1654C23×C4C26128yes—
1655C23×C4C26156yes—
1656C23×C4C26156yes—
1657C23×C4C26156yes—
1658C23×C4C26156yes—
1659C23×C4C26164yes—
1660C23×C4C26164yes—
1661C23×C4C261128yes—
1662C23×C4C261128yes—
1663C23×C4C26164yes—
1664C23×C4C26128yes—
1665C23×C4C26156yes—
1666C23×C4C26128yes—
1667C23×C4C26128yes—
1668C23×C4C26156yes—
1669C23×C4C26164yes—
1670#127—22048no—
1671#127—24096no—
1672#127—42048no—
1673#124—24096no—
1674#124—41024no—
1675#123—42048no—
1676#121—24096no—
1677#121—24096no—
1678#121—24096no—
1679#121—24096no—
1680#121—41024no—
1681#121—42048no—
1682#121—42048no—
1683#120—22048no—
1684#120—22048no—
1685#120—22048no—
1686#120—22048no—
1687#120—24096no—
1688#120—42048no—
1689#120—41024no—
1690#120—42048no—
1691#120—42048no—
1692#120—42048no—
1693#120—42048no—
1694#120—42048no—
1695#120C23×D414096yescomplemented
1696C4×D4—24096no—
1697#117—22048no—
1698C2×C4⋊C4—2896no—
1699C2×C4⋊C4—2896no—
1700C2×C4⋊C4—2896no—
1701C2×C4⋊C4—4448no—
1702C2×C4⋊C4—4224no—
1703C2×C4⋊C4—4448no—
1704C2×C4⋊C4C261128yes—
1705C2×C4⋊C4C261128yes—
1706C2×C4⋊C4C261128yes—
1707C2×C4⋊C4C261128yes—
1708C2×C4⋊C4C26164yes—
1709C2×C4⋊C4C261128yes—
1710C2×C22⋊C4—2448no—
1711C2×C22⋊C4—2448no—
1712C2×C22⋊C4—2896no—
1713C2×C22⋊C4—2896no—
1714C2×C22⋊C4—2896no—
1715C2×C22⋊C4—2896no—
1716C2×C22⋊C4—2896no—
1717C2×C22⋊C4—2896no—
1718C2×C22⋊C4—2896no—
1719C2×C22⋊C4—2896no—
1720C2×C22⋊C4—2896no—
1721C2×C22⋊C4—2896no—
1722C2×C22⋊C4—2896no—
1723C2×C22⋊C4—2896no—
1724C2×C22⋊C4—2896no—
1725C2×C22⋊C4—41024no—
1726C2×C22⋊C4—4448no—
1727C2×C22⋊C4—4448no—
1728C2×C22⋊C4—4448no—
1729C2×C22⋊C4—4448no—
1730C2×C22⋊C4—4448no—
1731C2×C22⋊C4—4448no—
1732C2×C22⋊C4—4448no—
1733C2×C22⋊C4—4448no—
1734C2×C22⋊C4—4224no—
1735C2×C22⋊C4—4448no—
1736C2×C22⋊C4—4448no—
1737C2×C22⋊C4—4448no—
1738C2×C22⋊C4—4448no—
1739C2×C22⋊C4—4448no—
1740C2×C22⋊C4—4448no—
1741C2×C22⋊C4—4448no—
1742C2×C22⋊C4C23×D41896yes—
1743C2×C22⋊C4C23×D411792yes—
1744C2×C22⋊C4C261128yes—
1745C2×C22⋊C4C26164yes—
1746C2×C22⋊C4C261128yes—
1747C2×C22⋊C4C26164yes—
1748C2×C22⋊C4C261128yes—
1749C2×C22⋊C4C261128yes—
1750C2×C22⋊C4C261128yes—
1751C2×C22⋊C4C261128yes—
1752C2×C22⋊C4C261128yes—
1753C2×C22⋊C4C261128yes—
1754C2×C22⋊C4C261128yes—
1755C2×C22⋊C4C261128yes—
1756C2×C22⋊C4C261128yes—
1757C2×C22⋊C4C261128yes—
1758C2×C22⋊C4C261128yes—
1759C2×C22⋊C4C261128yes—
1760C2×C22⋊C4C261128yes—
1761C2×C22⋊C4C261128yes—
1762C2×C22⋊C4C261128yes—
1763C2×C22⋊C4C261128yes—
1764C2×C22⋊C4C261128yes—
1765C2×C22⋊C4C261128yes—
1766C2×C22⋊C4C26164yes—
1767C2×C22⋊C4C261128yes—
1768C2×C22⋊C4C261128yes—
1769C2×C22⋊C4C261128yes—
1770C2×C22⋊C4C261128yes—
1771C2×C22⋊C4C261128yes—
1772C2×C22⋊C4C261128yes—
1773C2×C22⋊C4C261128yes—
1774C2×C22⋊C4C261128yes—
1775C2×C22⋊C4C26164yes—
1776C2×C22⋊C4C261128yes—
1777C2×C42—2896no—
1778C2×C42—2448no—
1779C2×C42—4224no—
1780C2×C42—4448no—
1781C2×C42C261128yes—
1782C2×C42C26164yes—
1783C2×C42C26164yes—
1784C2×C42C261128yes—
1785#95C261128yes—
1786#95C261128yes—
1787#95C261128yes—
1788#95C261128yes—
1789#95C261128yes—
1790#95C261128yes—
1791#95C261128yes—
1792#95C261128yes—
1793#95C261128yes—
1794#95C261128yes—
1795#95C261128yes—
1796C24—2896no—
1797C24—2896no—
1798C24—2448no—
1799C24—2448no—
1800C24—2896no—
1801C24—2896no—
1802C24—2896no—
1803C24—2896no—
1804C24—2896no—
1805C24—2896no—
1806C24—2112no—
1807C24—2112no—
1808C24—2112no—
1809C24—2112no—
1810C24—256no—
1811C24—2112no—
1812C24—2112no—
1813C24—2112no—
1814C24—2112no—
1815C24—2112no—
1816C24—2112no—
1817C24—2112no—
1818C24—256no—
1819C24—2112no—
1820C24—256no—
1821C24—256no—
1822C24—2112no—
1823C24—2112no—
1824C24—2112no—
1825C24—2112no—
1826C24—2112no—
1827C24—2112no—
1828C24—256no—
1829C24—2112no—
1830C24—2112no—
1831C24—2112no—
1832C24—2112no—
1833C24—2112no—
1834C24—2112no—
1835C24—2112no—
1836C24—2112no—
1837C24—2112no—
1838C24—256no—
1839C24—256no—
1840C24—2112no—
1841C24—2112no—
1842C24—2112no—
1843C24—2112no—
1844C24—2112no—
1845C24—2128no—
1846C24—2256no—
1847C24—2256no—
1848C24—2128no—
1849C24—2256no—
1850C24—464no—
1851C24—41792no—
1852C24—43584no—
1853C24—4128no—
1854C24—4128no—
1855C24—4128no—
1856C24—4128no—
1857C24—464no—
1858C24—464no—
1859C24—4128no—
1860C24—4128no—
1861C24—464no—
1862C24—464no—
1863C24—4128no—
1864C24—464no—
1865C24—4128no—
1866C24—4128no—
1867C24—4128no—
1868C24—43584no—
1869C24—43584no—
1870C24—41792no—
1871C24—41792no—
1872C24—43584no—
1873C24—4224no—
1874C24—4448no—
1875C24—4224no—
1876C24—4448no—
1877C24—4448no—
1878C24—4448no—
1879C24—4448no—
1880C24—4448no—
1881C24—4224no—
1882C24—4448no—
1883C24—4448no—
1884C24—4224no—
1885C24—4448no—
1886C24—4448no—
1887C24—41024no—
1888C24—41024no—
1889C24—42048no—
1890C24—42048no—
1891C24—4224no—
1892C24—4448no—
1893C24—4448no—
1894C24—4448no—
1895C24—4448no—
1896C24—4448no—
1897C24—4448no—
1898C24—4448no—
1899C24—4448no—
1900C24—4448no—
1901C24—4224no—
1902C24—4224no—
1903C24—4448no—
1904C24—4448no—
1905C24—4448no—
1906C24—4448no—
1907C24—4448no—
1908C24—4448no—
1909C24—4448no—
1910C24—81792no—
1911C24—81792no—
1912C24—81792no—
1913C24—8896no—
1914C24—81792no—
1915C24—81792no—
1916C24—8896no—
1917C24—8896no—
1918C24—81792no—
1919C24—81792no—
1920C24—81792no—
1921C24—8896no—
1922C24—8896no—
1923C24—81792no—
1924C24—8896no—
1925C24—814336no—
1926C24—814336no—
1927C24—828672no—
1928C24—814336no—
1929C24—8512no—
1930C24—81024no—
1931C24—81024no—
1932C24#3484164yes—
1933C24#34841128yes—
1934C24#3537164yes—
1935C24#35431128yes—
1936C24#3549164yes—
1937C24C24×D41112yes—
1938C24C24×D41224yes—
1939C24C24×D41112yes—
1940C24C24×D41256yes—
1941C24C24×D4128yes—
1942C24C22×H(5,𝔽2)1224yes—
1943C24C22×H(5,𝔽2)156yes—
1944C24C22×H(5,𝔽2)128yes—
1945C24C22×H(5,𝔽2)128yes—
1946C24C22×H(5,𝔽2)156yes—
1947C24C27116yes—
1948C24C27116yes—
1949C24C2718yes—
1950C24C27116yes—
1951C24C2718yes—
1952C24C2718yes—
1953C24C27116yes—
1954C24C2717yes—
1955#41—48192no—
1956C2×Q8—2128no—
1957C2×Q8—2128no—
1958C2×Q8—464no—
1959C2×Q8—41792no—
1960C2×D4—27168no—
1961C2×D4—2256no—
1962C2×D4—2256no—
1963C2×D4—2128no—
1964C2×D4—2256no—
1965C2×D4—2256no—
1966C2×D4—2256no—
1967C2×D4—2256no—
1968C2×D4—2256no—
1969C2×D4—2256no—
1970C2×D4—2128no—
1971C2×D4—2256no—
1972C2×D4—2256no—
1973C2×D4—2256no—
1974C2×D4—2256no—
1975C2×D4—2256no—
1976C2×D4—2256no—
1977C2×D4—2256no—
1978C2×D4—2256no—
1979C2×D4—2128no—
1980C2×D4—2256no—
1981C2×D4—2256no—
1982C2×D4—2256no—
1983C2×D4—2256no—
1984C2×D4—2256no—
1985C2×D4—2128no—
1986C2×D4—2256no—
1987C2×D4—43584no—
1988C2×D4—4128no—
1989C2×D4—4128no—
1990C2×D4—4128no—
1991C2×D4—4128no—
1992C2×D4—4128no—
1993C2×D4—4128no—
1994C2×D4—4128no—
1995C2×D4—4128no—
1996C2×D4—4128no—
1997C2×D4—4128no—
1998C2×D4—41792no—
1999C2×D4—464no—
2000C2×D4—464no—
2001C2×D4—464no—
2002C2×D4—464no—
2003C2×D4—464no—
2004C2×D4—43584no—
2005C2×D4—43584no—
2006C2×D4—43584no—
2007C2×D4—43584no—
2008C2×D4—43584no—
2009C2×D4—41792no—
2010C2×D4—48192no—
2011C2×D4—4128no—
2012C2×D4—4128no—
2013C2×D4—4128no—
2014C2×D4—4128no—
2015C2×D4—4128no—
2016C2×D4—4128no—
2017C2×D4—4128no—
2018C2×D4—4128no—
2019C2×D4—4128no—
2020C2×D4—4128no—
2021C2×D4—4128no—
2022C2×D4—4128no—
2023C2×D4—464no—
2024C2×D4—4128no—
2025C2×D4—4128no—
2026C2×D4—4128no—
2027C2×D4—4128no—
2028C2×D4—4128no—
2029C2×D4—4128no—
2030C2×D4—464no—
2031C2×D4—4128no—
2032C2×D4—4128no—
2033C2×D4—4128no—
2034C2×D4—416384no—
2035C2×D4—416384no—
2036C2×D4—43584no—
2037C2×D4—43584no—
2038C2×D4—41792no—
2039C2×D4—81792no—
2040C2×D4—8896no—
2041C2×D4—81792no—
2042C2×D4—81792no—
2043C2×D4—81792no—
2044C2×D4—81792no—
2045C2×D4—81792no—
2046C2×D4—81792no—
2047C2×D4—81792no—
2048C2×D4—81792no—
2049C2×D4C24×D41256yes—
2050C2×D4C24×D41512yes—
2051C22×C4—23584no—
2052C22×C4—2448no—
2053C22×C4—2448no—
2054C22×C4—2896no—
2055C22×C4—2896no—
2056C22×C4—2448no—
2057C22×C4—256no—
2058C22×C4—2112no—
2059C22×C4—256no—
2060C22×C4—2128no—
2061C22×C4—2112no—
2062C22×C4—256no—
2063C22×C4—2112no—
2064C22×C4—256no—
2065C22×C4—256no—
2066C22×C4—256no—
2067C22×C4—2112no—
2068C22×C4—2128no—
2069C22×C4—2128no—
2070C22×C4—2112no—
2071C22×C4—256no—
2072C22×C4—2112no—
2073C22×C4—2256no—
2074C22×C4—2128no—
2075C22×C4—2112no—
2076C22×C4—2112no—
2077C22×C4—2112no—
2078C22×C4—2112no—
2079C22×C4—2112no—
2080C22×C4—2112no—
2081C22×C4—2112no—
2082C22×C4—2112no—
2083C22×C4—2112no—
2084C22×C4—2112no—
2085C22×C4—2112no—
2086C22×C4—2112no—
2087C22×C4—2112no—
2088C22×C4—256no—
2089C22×C4—2112no—
2090C22×C4—256no—
2091C22×C4—2112no—
2092C22×C4—2112no—
2093C22×C4—2256no—
2094C22×C4—2128no—
2095C22×C4—2128no—
2096C22×C4—2256no—
2097C22×C4—2128no—
2098C22×C4—2256no—
2099C22×C4—4128no—
2100C22×C4—4128no—
2101C22×C4—464no—
2102C22×C4—464no—
2103C22×C4—43584no—
2104C22×C4—41792no—
2105C22×C4—464no—
2106C22×C4—4128no—
2107C22×C4—43584no—
2108C22×C4—41792no—
2109C22×C4—4448no—
2110C22×C4—4448no—
2111C22×C4—4448no—
2112C22×C4—4448no—
2113C22×C4—4448no—
2114C22×C4—4224no—
2115C22×C4—4448no—
2116C22×C4—8896no—
2117C22×C4C24×D41112yes—
2118C22×C4C24×D41224yes—
2119C22×C4C22×H(5,𝔽2)1112yes—
2120C22×C4C22×H(5,𝔽2)1112yes—
2121C22×C4C22×H(5,𝔽2)1224yes—
2122C22×C4C27116yes—
2123C22×C4C27116yes—
2124C22×C4C27116yes—
2125C22×C4C2718yes—
2126C22×C4C27116yes—
2127C22×C4C27116yes—
2128C22×C4C27116yes—
2129C22×C4C2718yes—
2130C22×C4C27116yes—
2131C22×C4C2718yes—
2132C22×C4C27116yes—
2133C22×C4C2718yes—
2134C4⋊C4—2256no—
2135C4⋊C4—2256no—
2136C4⋊C4—2256no—
2137C4⋊C4—4128no—
2138C4⋊C4—464no—
2139C4⋊C4—4128no—
2140C22⋊C4—2128no—
2141C22⋊C4—2128no—
2142C22⋊C4—2256no—
2143C22⋊C4—2256no—
2144C22⋊C4—2256no—
2145C22⋊C4—2256no—
2146C22⋊C4—2256no—
2147C22⋊C4—2256no—
2148C22⋊C4—2256no—
2149C22⋊C4—2256no—
2150C22⋊C4—2256no—
2151C22⋊C4—2256no—
2152C22⋊C4—2256no—
2153C22⋊C4—2256no—
2154C22⋊C4—2256no—
2155C22⋊C4—4128no—
2156C22⋊C4—4128no—
2157C22⋊C4—4128no—
2158C22⋊C4—4128no—
2159C22⋊C4—4128no—
2160C22⋊C4—4128no—
2161C22⋊C4—4128no—
2162C22⋊C4—4128no—
2163C22⋊C4—464no—
2164C22⋊C4—4128no—
2165C22⋊C4—4128no—
2166C22⋊C4—4128no—
2167C22⋊C4—4128no—
2168C22⋊C4—4128no—
2169C22⋊C4—4128no—
2170C22⋊C4—4128no—
2171C22⋊C4C24×D41256yes—
2172C22⋊C4C24×D41512yes—
2173C42—2256no—
2174C42—2128no—
2175C42—464no—
2176C42—4128no—
2177C23—2448no—
2178C23—2448no—
2179C23—2224no—
2180C23—2224no—
2181C23—2448no—
2182C23—2448no—
2183C23—2448no—
2184C23—2448no—
2185C23—2448no—
2186C23—2448no—
2187C23—216no—
2188C23—216no—
2189C23—216no—
2190C23—216no—
2191C23—28no—
2192C23—216no—
2193C23—216no—
2194C23—216no—
2195C23—216no—
2196C23—216no—
2197C23—216no—
2198C23—216no—
2199C23—28no—
2200C23—28no—
2201C23—28no—
2202C23—216no—
2203C23—216no—
2204C23—216no—
2205C23—216no—
2206C23—216no—
2207C23—216no—
2208C23—216no—
2209C23—28no—
2210C23—216no—
2211C23—216no—
2212C23—216no—
2213C23—216no—
2214C23—216no—
2215C23—216no—
2216C23—216no—
2217C23—216no—
2218C23—216no—
2219C23—28no—
2220C23—28no—
2221C23—216no—
2222C23—216no—
2223C23—216no—
2224C23—216no—
2225C23—216no—
2226C23—4256no—
2227C23—4512no—
2228C23—4512no—
2229C23—4512no—
2230C23—4256no—
2231C23—4256no—
2232C23—4512no—
2233C23—4112no—
2234C23—4224no—
2235C23—4112no—
2236C23—4224no—
2237C23—4224no—
2238C23—4224no—
2239C23—4224no—
2240C23—4224no—
2241C23—4112no—
2242C23—4224no—
2243C23—4224no—
2244C23—4112no—
2245C23—4224no—
2246C23—4224no—
2247C23—41792no—
2248C23—43584no—
2249C23—41792no—
2250C23—43584no—
2251C23—4112no—
2252C23—4224no—
2253C23—4224no—
2254C23—4224no—
2255C23—4224no—
2256C23—4224no—
2257C23—4224no—
2258C23—4224no—
2259C23—4224no—
2260C23—4224no—
2261C23—4112no—
2262C23—4112no—
2263C23—4224no—
2264C23—4224no—
2265C23—4224no—
2266C23—4224no—
2267C23—4224no—
2268C23—4224no—
2269C23—4224no—
2270C23—8128no—
2271C23—8256no—
2272C23—8256no—
2273C23—8256no—
2274C23—8256no—
2275C23—8256no—
2276C23—8256no—
2277C23—8256no—
2278C23—8256no—
2279C23—8128no—
2280C23—8128no—
2281C23—8256no—
2282C23—8128no—
2283C23—87168no—
2284C23—87168no—
2285C23—8128no—
2286C23—8128no—
2287C23—814336no—
2288C23—87168no—
2289C23—8896no—
2290C23—81792no—
2291C23—81792no—
2292C23#495451512yesdirect product factor
2293C23C2×#35371112yes—
2294C23C2×#35431224yes—
2295C23C2×#35491112yes—
2296C23C2×#34841112yes—
2297C23C2×#34841224yes—
2298C23C25×D4116yes—
2299C23C25×D4132yes—
2300C23C25×D4116yes—
2301C23C25×D4114yes—
2302C23C23×H(5,𝔽2)132yes—
2303C23C23×H(5,𝔽2)128yes—
2304C23C23×H(5,𝔽2)114yes—
2305C23C23×H(5,𝔽2)114yes—
2306C23C23×H(5,𝔽2)128yes—
2307C23C2811yescharacteristic
2308Q8—4256no—
2309D4—21024no—
2310D4—4512no—
2311D4—4256no—
2312D4—4512no—
2313D4—4512no—
2314D4—4512no—
2315D4—4512no—
2316D4—4512no—
2317D4—4256no—
2318D4—4512no—
2319D4—4512no—
2320D4—4256no—
2321D4—8256no—
2322D4—8128no—
2323D4—8256no—
2324D4—8256no—
2325D4—8256no—
2326D4—8256no—
2327D4—8256no—
2328D4—8256no—
2329D4—8256no—
2330D4—8256no—
2331C2×C4—2512no—
2332C2×C4—2224no—
2333C2×C4—2224no—
2334C2×C4—2448no—
2335C2×C4—2448no—
2336C2×C4—2224no—
2337C2×C4—28no—
2338C2×C4—216no—
2339C2×C4—28no—
2340C2×C4—216no—
2341C2×C4—28no—
2342C2×C4—216no—
2343C2×C4—28no—
2344C2×C4—28no—
2345C2×C4—28no—
2346C2×C4—216no—
2347C2×C4—216no—
2348C2×C4—28no—
2349C2×C4—216no—
2350C2×C4—216no—
2351C2×C4—216no—
2352C2×C4—216no—
2353C2×C4—216no—
2354C2×C4—216no—
2355C2×C4—216no—
2356C2×C4—216no—
2357C2×C4—216no—
2358C2×C4—216no—
2359C2×C4—216no—
2360C2×C4—216no—
2361C2×C4—216no—
2362C2×C4—216no—
2363C2×C4—28no—
2364C2×C4—216no—
2365C2×C4—28no—
2366C2×C4—216no—
2367C2×C4—216no—
2368C2×C4—4512no—
2369C2×C4—4256no—
2370C2×C4—4512no—
2371C2×C4—4256no—
2372C2×C4—4224no—
2373C2×C4—4224no—
2374C2×C4—4224no—
2375C2×C4—4224no—
2376C2×C4—4224no—
2377C2×C4—4112no—
2378C2×C4—4224no—
2379C2×C4—8128no—
2380C2×C4C25×D4116yes—
2381C2×C4C25×D4132yes—
2382C2×C4C23×H(5,𝔽2)116yes—
2383C2×C4C23×H(5,𝔽2)116yes—
2384C2×C4C23×H(5,𝔽2)132yes—
2385C22—216no—
2386C22—216no—
2387C22—232no—
2388C22—232no—
2389C22—232no—
2390C22—232no—
2391C22—232no—
2392C22—232no—
2393C22—232no—
2394C22—232no—
2395C22—416no—
2396C22—416no—
2397C22—416no—
2398C22—416no—
2399C22—416no—
2400C22—416no—
2401C22—416no—
2402C22—48no—
2403C22—416no—
2404C22—416no—
2405C22—48no—
2406C22—4448no—
2407C22—4896no—
2408C22—4448no—
2409C22—4896no—
2410C22—48no—
2411C22—416no—
2412C22—48no—
2413C22—48no—
2414C22—416no—
2415C22—416no—
2416C22—416no—
2417C22—416no—
2418C22—416no—
2419C22—416no—
2420C22—416no—
2421C22—416no—
2422C22—416no—
2423C22—416no—
2424C22—416no—
2425C22—416no—
2426C22—416no—
2427C22—416no—
2428C22—48no—
2429C22—48no—
2430C22—416no—
2431C22—416no—
2432C22—8512no—
2433C22—8512no—
2434C22—81024no—
2435C22—8512no—
2436C22—8224no—
2437C22—8448no—
2438C22—8448no—
2439C22C2×#495451448yesdirect product factor
2440C22C22×#3484128yes—
2441C22C22×#3484156yes—
2442C22C22×#3537128yes—
2443C22C22×#3543156yes—
2444C22C22×#3549128yes—
2445C22C26×D411yescharacteristic
2446C22C24×H(5,𝔽2)11yescharacteristic
2447C22C24×H(5,𝔽2)12yes—
2448C22C24×H(5,𝔽2)12yes—
2449C22C24×H(5,𝔽2)11yescharacteristic
2450C4—216no—
2451C4—216no—
2452C4—232no—
2453C4—232no—
2454C4—216no—
2455C4—416no—
2456C4—48no—
2457C4—416no—
2458C4—416no—
2459C4—416no—
2460C4—416no—
2461C4—416no—
2462C2—416no—
2463C2—416no—
2464C2—432no—
2465C2—432no—
2466C2—88no—
2467C2—816no—
2468C2—816no—
2469C2C23×#348411yescharacteristic
2470C2C23×#348412yes—
2471C2C23×#353711yescharacteristic
2472C2C22×#49545156yesdirect product factor
2473C2C23×#354312yes—
2474C2C23×#354911yescharacteristic
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC23C28
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#2476C2semidirect
2. C23×#2375C2semidirect
3. C23×#2699C2semidirect
4. C23×#2459C2semidirect
5. C23×#2670C2semidirect
6. C23×#2464C2semidirect
7. C23×#2673C2semidirect
8. C24×#535C2semidirect
9. C22×#49545C2direct (N × H)
10. C23×#2613C2semidirect
11. C23×#2431C2semidirect
12. C23×#2404C2semidirect
13. C23×#2669C2semidirect
14. C23×#2669C2semidirect
15. C23×#2669C2semidirect
16. C23×#2433C2semidirect
17. C23×#2410C2semidirect
18. C23×#2679C2semidirect
19. C23×#2403C2semidirect
20. C24×D42C2semidirect
21. C25×#41C22semidirect
23. C26×D4C22semidirect
24. C26×D4C22semidirect
26. C23×D42C22semidirect
28. C23×#535C22semidirect
30. C24×#127C22semidirect
31. C24×#127C22semidirect
32. C24×#124C22semidirect
33. C24×#124C22semidirect
34. C24×#123C22semidirect
36. C24×#121C22semidirect
37. C24×#121C22semidirect
38. C24×#121C22semidirect
39. C24×#121C22semidirect
40. C24×#121C22semidirect
41. C24×#121C22semidirect
44. C24×#120C22semidirect
45. C24×#120C22semidirect
46. C24×#120C22semidirect
47. C24×#120C22semidirect
48. C24×#120C22semidirect
49. C24×#120C22semidirect
50. C24×#120C22semidirect
51. C24×#120C22semidirect
52. C24×#120C22semidirect
53. C24×#120C22semidirect
54. C24×#120C22semidirect
55. C24×C4×D4C22semidirect
56. C24×#117C22semidirect
57. C25×C22⋊C4C22semidirect
58. C2×#49545C22direct (N × H)
59. C22×#2699C22semidirect
60. C22×#2670C22semidirect
61. C22×#2673C22semidirect
62. C22×#2679C22semidirect
63. C22×#2669C22semidirect
64. C22×#2669C22semidirect
65. C22×#2669C22semidirect
66. C22×#2404C22semidirect
67. C22×#2476C22semidirect
68. C22×#2431C22semidirect
69. C22×#2464C22semidirect
70. C22×#2433C22semidirect
71. C22×#2459C22semidirect
72. C22×#2410C22semidirect
73. C22×#2403C22semidirect
74. C22×#2613C22semidirect
75. C23×#398C22semidirect
76. C23×#394C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
80. C23×#394C22semidirect
81. C23×#394C22semidirect
82. C23×#394C22semidirect
83. C23×#394C22semidirect
84. C23×#394C22semidirect
85. C23×#393C22semidirect
88. C23×#392C22semidirect
89. C23×#392C22semidirect
90. C23×#392C22semidirect
91. C23×#392C22semidirect
92. C23×#392C22semidirect
93. C23×#392C22semidirect
94. C23×#392C22semidirect
95. C23×#392C22semidirect
96. C23×#392C22semidirect
97. C23×#392C22semidirect
98. C23×#392C22semidirect
99. C22×#2375C22semidirect
100. C23×#391C22semidirect
101. C23×#390C22semidirect
102. C23×#390C22semidirect
103. C23×#390C22semidirect
104. C23×#390C22semidirect
105. C23×#388C22semidirect
106. C23×#388C22semidirect
107. C23×#388C22semidirect
108. C23×#388C22semidirect
109. C23×#388C22semidirect
110. C23×#388C22semidirect
111. C23×#388C22semidirect
112. C23×#387C22semidirect
113. C23×#386C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#386C22semidirect
117. C23×#386C22semidirect
118. C23×#386C22semidirect
119. C23×#386C22semidirect
120. C23×#386C22semidirect
121. C23×#386C22semidirect
122. C23×#386C22semidirect
123. C23×#385C22semidirect
124. C23×#381C22semidirect
125. C23×#381C22semidirect
126. C23×#379C22semidirect
127. C23×#379C22semidirect
128. C23×C4×C22⋊C4C22semidirect
129. C23×C4×C22⋊C4C22semidirect
137. C24×#41C23semidirect
171. C25×D4C23semidirect
172. C25×D4C23semidirect
180. C22×D42C23semidirect
182. C22×#535C23semidirect
187. C23×#127C23semidirect
188. C23×#127C23semidirect
191. C23×#124C23semidirect
192. C23×#124C23semidirect
194. C23×#123C23semidirect
203. C23×#121C23semidirect
204. C23×#121C23semidirect
205. C23×#121C23semidirect
206. C23×#121C23semidirect
207. C23×#121C23semidirect
208. C23×#121C23semidirect
221. C23×#120D4semidirect
224. C23×#120C23semidirect
225. C23×#120C23semidirect
226. C23×#120C23semidirect
227. C23×#120C23semidirect
228. C23×#120C23semidirect
229. C23×#120C23semidirect
230. C23×#120C23semidirect
231. C23×#120C23semidirect
232. C23×#120C23semidirect
233. C23×#120C23semidirect
234. C23×#120C23semidirect
236. C23×C4×D4C23semidirect
238. C23×#117C23semidirect
279. C24×C22⋊C4C23semidirect
284. C2×#2699C23semidirect
285. C2×#2679C23semidirect
286. C2×#2673C23semidirect
287. C2×#2670C23semidirect
288. C2×#2669C23semidirect
289. C2×#2669C23semidirect
290. C2×#2669C23semidirect
291. #49545C23direct (N × H)
292. C2×#2404C23semidirect
293. C2×#2476C23semidirect
294. C2×#2431C23semidirect
295. C2×#2464C23semidirect
296. C2×#2433C23semidirect
297. C2×#2459C23semidirect
298. C2×#2410C23semidirect
299. C2×#2403C23semidirect
300. C2×#2613C23semidirect
301. C22×#398C23semidirect
302. C22×#394C23semidirect
303. C22×#394C23semidirect
304. C22×#394C23semidirect
305. C22×#394C23semidirect
306. C22×#394C23semidirect
307. C22×#394C23semidirect
308. C22×#394C23semidirect
309. C22×#394C23semidirect
310. C22×#394C23semidirect
311. C22×#393C23semidirect
314. C22×#392C23semidirect
315. C22×#392C23semidirect
316. C22×#392C23semidirect
317. C22×#392C23semidirect
318. C22×#392C23semidirect
319. C22×#392C23semidirect
320. C22×#392C23semidirect
321. C22×#392C23semidirect
322. C22×#392C23semidirect
323. C22×#392C23semidirect
324. C22×#392C23semidirect
325. C2×#2375C23semidirect
326. C22×#391C23semidirect
327. C22×#390C23semidirect
328. C22×#390C23semidirect
329. C22×#390C23semidirect
330. C22×#390C23semidirect
331. C22×#388C23semidirect
332. C22×#388C23semidirect
333. C22×#388C23semidirect
334. C22×#388C23semidirect
335. C22×#388C23semidirect
336. C22×#388C23semidirect
337. C22×#388C23semidirect
338. C22×#387C23semidirect
339. C22×#386C23semidirect
340. C22×#386C23semidirect
341. C22×#386C23semidirect
342. C22×#386C23semidirect
343. C22×#386C23semidirect
344. C22×#386C23semidirect
345. C22×#386C23semidirect
346. C22×#386C23semidirect
347. C22×#386C23semidirect
348. C22×#386C23semidirect
349. C22×#385C23semidirect
350. C22×#381C23semidirect
351. C22×#381C23semidirect
352. C22×#379C23semidirect
353. C22×#379C23semidirect
354. C22×C4×C22⋊C4C23semidirect
355. C22×C4×C22⋊C4C23semidirect
404. C23×#41C24semidirect
510. C24×D4C24semidirect
511. C24×D4C24semidirect
548. C2×D42C24semidirect
550. C2×#535C24semidirect
555. C22×#127C24semidirect
556. C22×#127C24semidirect
559. C22×#124C24semidirect
560. C22×#124C24semidirect
562. C22×#123C24semidirect
571. C22×#121C24semidirect
572. C22×#121C24semidirect
573. C22×#121C24semidirect
574. C22×#121C24semidirect
575. C22×#121C24semidirect
576. C22×#121C24semidirect
589. C22×#120C2×D4semidirect
592. C22×#120C24semidirect
593. C22×#120C24semidirect
594. C22×#120C24semidirect
595. C22×#120C24semidirect
596. C22×#120C24semidirect
597. C22×#120C24semidirect
598. C22×#120C24semidirect
599. C22×#120C24semidirect
600. C22×#120C24semidirect
601. C22×#120C24semidirect
602. C22×#120C24semidirect
604. C22×C4×D4C24semidirect
606. C22×#117C24semidirect
686. C23×C22⋊C4C24semidirect
695. #2699C24semidirect
696. #2679C24semidirect
697. #2673C24semidirect
698. #2670C24semidirect
699. #2669C24semidirect
700. #2669C24semidirect
701. #2669C24semidirect
702. #2613C24semidirect
703. #2476C24semidirect
704. #2464C24semidirect
705. #2459C24semidirect
706. #2433C24semidirect
707. #2431C24semidirect
708. #2410C24semidirect
709. #2404C24semidirect
710. #2403C24semidirect
711. C2×#398C24semidirect
712. C2×#394C24semidirect
713. C2×#394C24semidirect
714. C2×#394C24semidirect
715. C2×#394C24semidirect
716. C2×#394C24semidirect
717. C2×#394C24semidirect
718. C2×#394C24semidirect
719. C2×#394C24semidirect
720. C2×#394C24semidirect
721. C2×#393C24semidirect
724. C2×#392C24semidirect
725. C2×#392C24semidirect
726. C2×#392C24semidirect
727. C2×#392C24semidirect
728. C2×#392C24semidirect
729. C2×#392C24semidirect
730. C2×#392C24semidirect
731. C2×#392C24semidirect
732. C2×#392C24semidirect
733. C2×#392C24semidirect
734. C2×#392C24semidirect
735. #2375C24semidirect
736. C2×#391C24semidirect
737. C2×#390C24semidirect
738. C2×#390C24semidirect
739. C2×#390C24semidirect
740. C2×#390C24semidirect
741. C2×#388C24semidirect
742. C2×#388C24semidirect
743. C2×#388C24semidirect
744. C2×#388C24semidirect
745. C2×#388C24semidirect
746. C2×#388C24semidirect
747. C2×#388C24semidirect
748. C2×#387C24semidirect
749. C2×#386C24semidirect
750. C2×#386C24semidirect
751. C2×#386C24semidirect
752. C2×#386C24semidirect
753. C2×#386C24semidirect
754. C2×#386C24semidirect
755. C2×#386C24semidirect
756. C2×#386C24semidirect
757. C2×#386C24semidirect
758. C2×#386C24semidirect
759. C2×#385C24semidirect
760. C2×#381C24semidirect
761. C2×#381C24semidirect
762. C2×#379C24semidirect
763. C2×#379C24semidirect
764. C2×C4×C22⋊C4C24semidirect
765. C2×C4×C22⋊C4C24semidirect
880. C22×#41C25semidirect
1009. C23×D4C25semidirect
1010. C23×D4C25semidirect
1094. C2×#127C25semidirect
1095. C2×#127C25semidirect
1098. C2×#124C25semidirect
1099. C2×#124C25semidirect
1101. C2×#123C25semidirect
1110. C2×#121C25semidirect
1111. C2×#121C25semidirect
1112. C2×#121C25semidirect
1113. C2×#121C25semidirect
1114. C2×#121C25semidirect
1115. C2×#121C25semidirect
1128. C2×#120C22×D4semidirect
1131. C2×#120C25semidirect
1132. C2×#120C25semidirect
1133. C2×#120C25semidirect
1134. C2×#120C25semidirect
1135. C2×#120C25semidirect
1136. C2×#120C25semidirect
1137. C2×#120C25semidirect
1138. C2×#120C25semidirect
1139. C2×#120C25semidirect
1140. C2×#120C25semidirect
1141. C2×#120C25semidirect
1143. C2×C4×D4C25semidirect
1145. C2×#117C25semidirect
1225. C22×C22⋊C4C25semidirect
1234. #398C25semidirect
1235. #394C25semidirect
1236. #394C25semidirect
1237. #394C25semidirect
1238. #394C25semidirect
1239. #394C25semidirect
1240. #394C25semidirect
1241. #394C25semidirect
1242. #394C25semidirect
1243. #394C25semidirect
1244. #393C25semidirect
1247. #392C25semidirect
1248. #392C25semidirect
1249. #392C25semidirect
1250. #392C25semidirect
1251. #392C25semidirect
1252. #392C25semidirect
1253. #392C25semidirect
1254. #392C25semidirect
1255. #392C25semidirect
1256. #392C25semidirect
1257. #392C25semidirect
1258. #391C25semidirect
1259. #390C25semidirect
1260. #390C25semidirect
1261. #390C25semidirect
1262. #390C25semidirect
1263. #388C25semidirect
1264. #388C25semidirect
1265. #388C25semidirect
1266. #388C25semidirect
1267. #388C25semidirect
1268. #388C25semidirect
1269. #388C25semidirect
1270. #387C25semidirect
1271. #386C25semidirect
1272. #386C25semidirect
1273. #386C25semidirect
1274. #386C25semidirect
1275. #386C25semidirect
1276. #386C25semidirect
1277. #386C25semidirect
1278. #386C25semidirect
1279. #386C25semidirect
1280. #386C25semidirect
1281. #385C25semidirect
1282. #381C25semidirect
1283. #381C25semidirect
1284. #379C25semidirect
1285. #379C25semidirect
1286. C4×C22⋊C4C25semidirect
1287. C4×C22⋊C4C25semidirect
1695. #120C23×D4semidirect
2292. C23#49545direct (N × H)
2439. C22C2×#49545direct (N × H)
2472. C2C22×#49545direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#24762
C23×#23752
C23×#26992
C23×#24592
C23×#26702
C23×#24642
C23×#26732
C24×#5352
C22×#495452
C23×#26132
C23×#24312
C23×#24042
C23×#26692
C23×#24332
C23×#24102
C23×#26792
C23×#24032
C24×D422