Finite Group Databasebeta

← C23×#47830 #72300232

Subgroups — C23×#47830 #72300232

Order 2048.

1792888 conjugacy classes of subgroups.

The subgroup lattice has 2304 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2377C211yesmaximal, characteristic, complemented
2C23×#2693C212yesmaximal, complemented
3C23×#2696C212yesmaximal, complemented
4C23×#2635C211yesmaximal, characteristic, complemented
5C23×#2684C212yesmaximal, complemented
6C23×#2688C212yesmaximal, complemented
7C23×#2456C212yesmaximal, complemented
8C23×#2418C212yesmaximal, complemented
9C23×#2678C212yesmaximal, complemented
10C23×#2678C212yesmaximal, complemented
11C23×#2534C211yesmaximal, characteristic, complemented
12C23×#2404C211yesmaximal, characteristic, complemented
13C23×#2615C211yesmaximal, characteristic, complemented
14C24×#546C211yesmaximal, characteristic, complemented
15C24×#534C211yesmaximal, characteristic, complemented
16C23×#2410C212yesmaximal, complemented
17C23×#2408C212yesmaximal, complemented
18C22×#47830C21224yesmaximal, direct product factor
19C23×#2403C212yesmaximal, complemented
20C23×#2403C212yesmaximal, complemented
21C25×#41C2211yescharacteristic, complemented
22C26×D4C2211yescharacteristic, complemented
23C26×D4C2212yescomplemented
24C26×D4C2212yescomplemented
25C23×#546—264no—
26C23×#546C221112yescomplemented
27C23×#534—264no—
28C23×#534C221112yescomplemented
29C24×#124C2211yescharacteristic, complemented
30C24×#123C2212yescomplemented
31C24×#123C2212yescomplemented
32C24×#123C2212yescomplemented
33C24×#123C2211yescharacteristic, complemented
34C24×C22⋊Q8C2211yescharacteristic, complemented
35C24×#121C2211yescharacteristic
36C24×#121C2211yescharacteristic, complemented
37C24×#121C2212yescomplemented
38C24×#121C2212yescomplemented
39C24×#121C2212yescomplemented
40C24×#121C2212yescomplemented
41C24×#120C2212yes—
42C24×#120C2211yescharacteristic
43C24×#120C2212yes—
44C24×#120C2212yescomplemented
45C24×#120C2212yescomplemented
46C24×#120C2212yescomplemented
47C24×#120C2212yescomplemented
48C24×#120C2212yescomplemented
49C24×C4×D4C2211yescharacteristic, complemented
50C24×C4×D4C2211yescharacteristic, complemented
51C24×C4×D4C2212yescomplemented
52C25×C22⋊C4C2211yescharacteristic, complemented
53C25×C22⋊C4C2212yescomplemented
54C2×#47830C2217168yesdirect product factor
55C22×#2688C221224yescomplemented
56C22×#2696C221224yescomplemented
57C22×#2693C221224yescomplemented
58C22×#2684C221224yescomplemented
59C22×#2678C221224yescomplemented
60C22×#2678C221224yescomplemented
61C22×#2534C221112yescomplemented
62C22×#2404C221112yescomplemented
63C22×#2408C221224yescomplemented
64C22×#2456C221224yescomplemented
65C22×#2418C221224yescomplemented
66C22×#2410C221224yescomplemented
67C22×#2403C221224yescomplemented
68C22×#2403C221224yescomplemented
69C22×#2615C221112yescomplemented
70C22×#2635C221112yescomplemented
71C23×#400C2211yescharacteristic, complemented
72C23×#400C2212yescomplemented
73C23×#399C2211yescharacteristic, complemented
74C23×#397C2212yescomplemented
75C23×#397C2212yescomplemented
76C23×#397C2212yescomplemented
77C23×#396C2212yescomplemented
78C23×#396C2212yescomplemented
79C23×#394C2212yescomplemented
80C23×#394C2212yescomplemented
81C23×#394C2211yescharacteristic, complemented
82C23×#394C2212yescomplemented
83C23×#394C2212yescomplemented
84C23×#394C2212yescomplemented
85C23×#393C2212yescomplemented
86C23×#393C2212yescomplemented
87C23×#392C2212yes—
88C23×#392C2212yes—
89C23×#392C2212yescomplemented
90C23×#392C2212yescomplemented
91C23×#392C2212yescomplemented
92C23×#392C2212yescomplemented
93C23×#392C2212yescomplemented
94C23×#392C2212yescomplemented
95C23×#392C2211yescharacteristic, complemented
96C23×#392C2212yescomplemented
97C22×#2377C221112yescomplemented
98C23×#390C2212yescomplemented
99C23×#390C2212yescomplemented
100C23×#390C2212yescomplemented
101C23×#388C2212yescomplemented
102C23×#388C2212yescomplemented
103C23×#388C2212yescomplemented
104C23×#388C2212yescomplemented
105C23×#387C2212yescomplemented
106C23×#386C2212yescomplemented
107C23×#386C2212yescomplemented
108C23×#386C2212yescomplemented
109C23×#386C2212yescomplemented
110C23×#386C2212yescomplemented
111C23×#386C2212yescomplemented
112C23×#386C2212yescomplemented
113C23×#386C2212yescomplemented
114C23×#386C2212yescomplemented
115C23×#386C2212yescomplemented
116C23×#386C2212yescomplemented
117C23×#386C2212yescomplemented
118C23×#386C2212yescomplemented
119C23×#385C2212yescomplemented
120C23×#385C2212yescomplemented
121C23×#381C2211yescharacteristic, complemented
122C23×#381C2211yescharacteristic, complemented
123C23×#380C2212yescomplemented
124C23×#380C2212yescomplemented
125C23×#380C2211yescharacteristic, complemented
126C23×#379C2212yescomplemented
127C23×#379C2212yescomplemented
128C23×#379C2212yescomplemented
129C23×#379C2211yescharacteristic, complemented
130C28C2311yescharacteristic
131C28C2312yes—
132C28C2312yes—
133C24×#41—232no—
134C24×#41—432no—
135C24×#41C23156yescomplemented
136C25×Q8C2311yescharacteristic
137C25×D4—232no—
138C25×D4—264no—
139C25×D4—432no—
140C25×D4—432no—
141C25×D4—432no—
142C25×D4—432no—
143C25×D4—432no—
144C25×D4—432no—
145C25×D4C2311yescharacteristic
146C25×D4C2312yes—
147C25×D4C2311yescharacteristic
148C25×D4C2312yes—
149C25×D4C2312yes—
150C25×D4C2312yes—
151C25×D4C2312yes—
152C25×D4C2312yes—
153C25×D4C2312yes—
154C25×D4C2312yes—
155C25×D4C2312yes—
156C25×D4C2312yes—
157C25×D4C2312yes—
158C25×D4C2311yescharacteristic
159C25×D4C2312yes—
160C25×D4C2311yescharacteristic
161C25×D4C2312yes—
162C25×D4C23156yescomplemented
163C25×D4C231112yescomplemented
164C25×D4C231112yescomplemented
165C26×C4C2312yes—
166C26×C4C2312yes—
167C26×C4C2311yescharacteristic
168C26×C4C2312yes—
169C26×C4C2311yescharacteristic
170C26×C4C2312yes—
171C26×C4C2311yescharacteristic
172C22×#546—23584no—
173C22×#546C2311792yescomplemented
174C22×#534—23584no—
175C22×#534C2311792yescomplemented
176C23×#124—232no—
177C23×#124C23156yescomplemented
178C23×#123—264no—
179C23×#123—264no—
180C23×#123—264no—
181C23×#123—416no—
182C23×#123C231112yescomplemented
183C23×#123C231112yescomplemented
184C23×#123C231112yescomplemented
185C23×#123C23156yescomplemented
186C23×C22⋊Q8—232no—
187C23×C22⋊Q8C23156yescomplemented
188C23×#121—264no—
189C23×#121—264no—
190C23×#121—232no—
191C23×#121—432no—
192C23×#121—432no—
193C23×#121D4164yescomplemented
194C23×#121C23156yes—
195C23×#121C231112yescomplemented
196C23×#121C231112yescomplemented
197C23×#121C23156yescomplemented
198C23×#121C231112yescomplemented
199C23×#121C231112yescomplemented
200C23×#120—264no—
201C23×#120—264no—
202C23×#120—264no—
203C23×#120—432no—
204C23×#120—416no—
205C23×#120—432no—
206C23×#120—432no—
207C23×#120—432no—
208C23×#120C231112yes—
209C23×#120C231112yes—
210C23×#120C23156yes—
211C23×#120C231112yescomplemented
212C23×#120C231112yescomplemented
213C23×#120C231112yescomplemented
214C23×#120C231112yescomplemented
215C23×#120C231112yescomplemented
216C23×C4×D4—232no—
217C23×C4×D4—232no—
218C23×C4×D4—432no—
219C23×C4×D4C23156yescomplemented
220C23×C4×D4C23156yescomplemented
221C23×C4×D4C231112yescomplemented
222C24×C4⋊C4C2311yescharacteristic
223C24×C4⋊C4C2312yes—
224C24×C4⋊C4C2311yescharacteristic
225C24×C4⋊C4C2312yes—
226C24×C4⋊C4C2312yes—
227C24×C4⋊C4C2312yes—
228C24×C4⋊C4C2312yes—
229C24×C4⋊C4C2312yes—
230C24×C4⋊C4C2311yescharacteristic
231C24×C22⋊C4—264no—
232C24×C22⋊C4—232no—
233C24×C22⋊C4C2312yes—
234C24×C22⋊C4C2311yescharacteristic
235C24×C22⋊C4C2312yes—
236C24×C22⋊C4C2312yes—
237C24×C22⋊C4C2312yes—
238C24×C22⋊C4C2312yes—
239C24×C22⋊C4C2311yescharacteristic
240C24×C22⋊C4C2312yes—
241C24×C22⋊C4C2312yes—
242C24×C22⋊C4C2312yes—
243C24×C22⋊C4C2312yes—
244C24×C22⋊C4C2312yes—
245C24×C22⋊C4C2312yes—
246C24×C22⋊C4C2312yes—
247C24×C22⋊C4C2312yes—
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⋊C4C2311yescharacteristic
262C24×C22⋊C4C2312yes—
263C24×C22⋊C4C2312yes—
264C24×C22⋊C4C2312yes—
265C24×C22⋊C4C2312yes—
266C24×C22⋊C4C2312yes—
267C24×C22⋊C4C231112yescomplemented
268C24×C22⋊C4C23156yescomplemented
269C24×C42C2311yescharacteristic
270C24×C42C2312yes—
271C2×#2696C2313584yescomplemented
272C2×#2693C2313584yescomplemented
273C2×#2688C2313584yescomplemented
274C2×#2684C2313584yescomplemented
275C2×#2678C2313584yescomplemented
276C2×#2678C2313584yescomplemented
277#47830C23132768yesdirect product factor
278C2×#2534C2311792yescomplemented
279C2×#2404C2311792yescomplemented
280C2×#2408C2313584yescomplemented
281C2×#2456C2313584yescomplemented
282C2×#2418C2313584yescomplemented
283C2×#2410C2313584yescomplemented
284C2×#2403C2313584yescomplemented
285C2×#2403C2313584yescomplemented
286C2×#2615C2311792yescomplemented
287C2×#2635C2311792yescomplemented
288C22×#400C23156yescomplemented
289C22×#400C231112yescomplemented
290C22×#399C23156yescomplemented
291C22×#397C231112yescomplemented
292C22×#397C231112yescomplemented
293C22×#397C231112yescomplemented
294C22×#396C231112yescomplemented
295C22×#396C231112yescomplemented
296C22×#394C231112yescomplemented
297C22×#394C23156yescomplemented
298C22×#394C231112yescomplemented
299C22×#394C231112yescomplemented
300C22×#394C231112yescomplemented
301C22×#394C231112yescomplemented
302C22×#393C231112yescomplemented
303C22×#393C231112yescomplemented
304C22×#392C231112yes—
305C22×#392C231112yes—
306C22×#392C231112yescomplemented
307C22×#392C231112yescomplemented
308C22×#392C231112yescomplemented
309C22×#392C231112yescomplemented
310C22×#392C231112yescomplemented
311C22×#392C231112yescomplemented
312C22×#392C231112yescomplemented
313C22×#392C23156yescomplemented
314C2×#2377C2311792yescomplemented
315C22×#390C231112yescomplemented
316C22×#390C231112yescomplemented
317C22×#390C231112yescomplemented
318C22×#388C231112yescomplemented
319C22×#388C231112yescomplemented
320C22×#388C231112yescomplemented
321C22×#388C231112yescomplemented
322C22×#387C231112yescomplemented
323C22×#386C231112yescomplemented
324C22×#386C231112yescomplemented
325C22×#386C231112yescomplemented
326C22×#386C231112yescomplemented
327C22×#386C231112yescomplemented
328C22×#386C231112yescomplemented
329C22×#386C231112yescomplemented
330C22×#386C231112yescomplemented
331C22×#386C231112yescomplemented
332C22×#386C231112yescomplemented
333C22×#386C231112yescomplemented
334C22×#386C231112yescomplemented
335C22×#386C231112yescomplemented
336C22×#385C231112yescomplemented
337C22×#385C231112yescomplemented
338C22×#381C23156yescomplemented
339C22×#381C23156yescomplemented
340C22×#380C231112yescomplemented
341C22×#380C231112yescomplemented
342C22×#380C23156yescomplemented
343C22×#379C231112yescomplemented
344C22×#379C231112yescomplemented
345C22×#379C231112yescomplemented
346C22×#379C23156yescomplemented
347C23×#95C2312yes—
348C23×#95C2312yes—
349C23×#95C2312yes—
350C23×#95C2312yes—
351C23×#95C2311yescharacteristic
352C23×#95C2312yes—
353C23×#95C2312yes—
354C23×#95C2311yescharacteristic
355C23×#95C2312yes—
356C23×#95C2312yes—
357C23×#95C2312yes—
358C23×#95C2312yes—
359C23×#95C2312yes—
360C23×#95C2312yes—
361C27—216no—
362C27—232no—
363C27—232no—
364C27—232no—
365C27—232no—
366C27—232no—
367C27—232no—
368C27—416no—
369C27—416no—
370C27—416no—
371C27—416no—
372C27—416no—
373C27—416no—
374C27—48no—
375C27—416no—
376C27—416no—
377C27—48no—
378C27—416no—
379C27—416no—
380C27C2412yes—
381C27C2411yescharacteristic
382C27C2412yes—
383C27C2412yes—
384C27C2412yes—
385C27C2411yescharacteristic
386C27C24128yes—
387C27C24156yes—
388C27C24156yes—
389C23×#41—2896no—
390C23×#41—4896no—
391C23×#41—41024no—
392C23×#41C241448yescomplemented
393C24×Q8—216no—
394C24×Q8—416no—
395C24×Q8C24128yes—
396C24×D4—232no—
397C24×D4—232no—
398C24×D4—232no—
399C24×D4—232no—
400C24×D4—232no—
401C24×D4—216no—
402C24×D4—232no—
403C24×D4—232no—
404C24×D4—232no—
405C24×D4—232no—
406C24×D4—232no—
407C24×D4—232no—
408C24×D4—232no—
409C24×D4—232no—
410C24×D4—232no—
411C24×D4—232no—
412C24×D4—232no—
413C24×D4—232no—
414C24×D4—216no—
415C24×D4—232no—
416C24×D4—232no—
417C24×D4—2896no—
418C24×D4—21792no—
419C24×D4—216no—
420C24×D4—232no—
421C24×D4—216no—
422C24×D4—416no—
423C24×D4—416no—
424C24×D4—416no—
425C24×D4—416no—
426C24×D4—416no—
427C24×D4—416no—
428C24×D4—416no—
429C24×D4—416no—
430C24×D4—416no—
431C24×D4—416no—
432C24×D4—416no—
433C24×D4—416no—
434C24×D4—416no—
435C24×D4—416no—
436C24×D4—4896no—
437C24×D4—48no—
438C24×D4—416no—
439C24×D4—416no—
440C24×D4—416no—
441C24×D4—416no—
442C24×D4—416no—
443C24×D4—416no—
444C24×D4—416no—
445C24×D4—4896no—
446C24×D4—4896no—
447C24×D4—4896no—
448C24×D4—4896no—
449C24×D4—4896no—
450C24×D4—41024no—
451C24×D4—42048no—
452C24×D4—42048no—
453C24×D4C2×D4132yes—
454C24×D4C2×D4164yescomplemented
455C24×D4C24128yes—
456C24×D4C24156yes—
457C24×D4C24156yes—
458C24×D4C24156yes—
459C24×D4C24156yes—
460C24×D4C24156yes—
461C24×D4C24156yes—
462C24×D4C24128yes—
463C24×D4C24156yes—
464C24×D4C24156yes—
465C24×D4C24156yes—
466C24×D4C24156yes—
467C24×D4C24156yes—
468C24×D4C24128yes—
469C24×D4C24156yes—
470C24×D4C24128yes—
471C24×D4C24156yes—
472C24×D4C241448yescomplemented
473C24×D4C241896yescomplemented
474C24×D4C241896yescomplemented
475C25×C4—232no—
476C25×C4—232no—
477C25×C4—216no—
478C25×C4—216no—
479C25×C4—232no—
480C25×C4—232no—
481C25×C4—232no—
482C25×C4—416no—
483C25×C4—416no—
484C25×C4—416no—
485C25×C4—416no—
486C25×C4—416no—
487C25×C4—416no—
488C25×C4—416no—
489C25×C4—48no—
490C25×C4—416no—
491C25×C4—416no—
492C25×C4—48no—
493C25×C4C2×D4132yescomplemented
494C25×C4C2411yescharacteristic
495C25×C4C2412yes—
496C25×C4C2411yescharacteristic
497C25×C4C2412yes—
498C25×C4C2412yes—
499C25×C4C2412yes—
500C25×C4C2412yes—
501C25×C4C2411yescharacteristic
502C25×C4C2412yes—
503C25×C4C2412yes—
504C25×C4C24156yes—
505C25×C4C24156yes—
506C25×C4C2411yescharacteristic
507C25×C4C2411yescharacteristic
508C25×C4C2412yes—
509C25×C4C24128yes—
510C25×C4C24156yes—
511C25×C4C24128yes—
512C25×C4C24156yes—
513C25×C4C24128yes—
514C2×#546—228672no—
515C2×#546C2414096yescomplemented
516C2×#534—228672no—
517C2×#534C2414096yescomplemented
518C22×#124—2896no—
519C22×#124C241448yescomplemented
520C22×#123—21792no—
521C22×#123—21792no—
522C22×#123—21792no—
523C22×#123—4448no—
524C22×#123C241896yescomplemented
525C22×#123C241896yescomplemented
526C22×#123C241896yescomplemented
527C22×#123C241448yescomplemented
528C22×C22⋊Q8—2896no—
529C22×C22⋊Q8C241448yescomplemented
530C22×#121—21792no—
531C22×#121—21792no—
532C22×#121—2896no—
533C22×#121—4896no—
534C22×#121—4896no—
535C22×#121C2×D411792yescomplemented
536C22×#121C241448yes—
537C22×#121C241448yescomplemented
538C22×#121C241896yescomplemented
539C22×#121C241896yescomplemented
540C22×#121C241896yescomplemented
541C22×#121C241896yescomplemented
542C22×#120—21792no—
543C22×#120—21792no—
544C22×#120—21792no—
545C22×#120—4896no—
546C22×#120—4896no—
547C22×#120—4448no—
548C22×#120—4896no—
549C22×#120—4896no—
550C22×#120C241896yes—
551C22×#120C241448yes—
552C22×#120C241896yes—
553C22×#120C241896yescomplemented
554C22×#120C241896yescomplemented
555C22×#120C241896yescomplemented
556C22×#120C241896yescomplemented
557C22×#120C241896yescomplemented
558C22×C4×D4—2896no—
559C22×C4×D4—2896no—
560C22×C4×D4—4896no—
561C22×C4×D4C241448yescomplemented
562C22×C4×D4C241448yescomplemented
563C22×C4×D4C241896yescomplemented
564C23×C4⋊C4—216no—
565C23×C4⋊C4—232no—
566C23×C4⋊C4—216no—
567C23×C4⋊C4—232no—
568C23×C4⋊C4—416no—
569C23×C4⋊C4—416no—
570C23×C4⋊C4—416no—
571C23×C4⋊C4—416no—
572C23×C4⋊C4C2×D4132yescomplemented
573C23×C4⋊C4C24128yes—
574C23×C4⋊C4C24156yes—
575C23×C4⋊C4C24128yes—
576C23×C4⋊C4C24156yes—
577C23×C4⋊C4C24156yes—
578C23×C4⋊C4C24156yes—
579C23×C4⋊C4C24156yes—
580C23×C4⋊C4C24156yes—
581C23×C4⋊C4C24128yes—
582C23×C22⋊C4—232no—
583C23×C22⋊C4—216no—
584C23×C22⋊C4—232no—
585C23×C22⋊C4—232no—
586C23×C22⋊C4—232no—
587C23×C22⋊C4—232no—
588C23×C22⋊C4—216no—
589C23×C22⋊C4—232no—
590C23×C22⋊C4—232no—
591C23×C22⋊C4—232no—
592C23×C22⋊C4—232no—
593C23×C22⋊C4—232no—
594C23×C22⋊C4—232no—
595C23×C22⋊C4—2896no—
596C23×C22⋊C4—21792no—
597C23×C22⋊C4—416no—
598C23×C22⋊C4—416no—
599C23×C22⋊C4—416no—
600C23×C22⋊C4—48no—
601C23×C22⋊C4—416no—
602C23×C22⋊C4—416no—
603C23×C22⋊C4—416no—
604C23×C22⋊C4—416no—
605C23×C22⋊C4—416no—
606C23×C22⋊C4—416no—
607C23×C22⋊C4—416no—
608C23×C22⋊C4—416no—
609C23×C22⋊C4—416no—
610C23×C22⋊C4—416no—
611C23×C22⋊C4—416no—
612C23×C22⋊C4—416no—
613C23×C22⋊C4—416no—
614C23×C22⋊C4—416no—
615C23×C22⋊C4—416no—
616C23×C22⋊C4—48no—
617C23×C22⋊C4C2×D4164yescomplemented
618C23×C22⋊C4C24128yes—
619C23×C22⋊C4C24156yes—
620C23×C22⋊C4C24156yes—
621C23×C22⋊C4C24156yes—
622C23×C22⋊C4C24156yes—
623C23×C22⋊C4C24156yes—
624C23×C22⋊C4C24128yes—
625C23×C22⋊C4C24156yes—
626C23×C22⋊C4C24156yes—
627C23×C22⋊C4C24156yes—
628C23×C22⋊C4C24156yes—
629C23×C22⋊C4C24156yes—
630C23×C22⋊C4C24156yes—
631C23×C22⋊C4C24156yes—
632C23×C22⋊C4C24156yes—
633C23×C22⋊C4C24156yes—
634C23×C22⋊C4C24156yes—
635C23×C22⋊C4C24128yes—
636C23×C22⋊C4C24156yes—
637C23×C22⋊C4C24156yes—
638C23×C22⋊C4C24156yes—
639C23×C22⋊C4C24156yes—
640C23×C22⋊C4C24156yes—
641C23×C22⋊C4C24156yes—
642C23×C22⋊C4C24156yes—
643C23×C22⋊C4C24156yes—
644C23×C22⋊C4C24156yes—
645C23×C22⋊C4C24156yes—
646C23×C22⋊C4C24156yes—
647C23×C22⋊C4C24156yes—
648C23×C22⋊C4C24128yes—
649C23×C22⋊C4C24156yes—
650C23×C22⋊C4C24156yes—
651C23×C22⋊C4C24156yes—
652C23×C22⋊C4C241448yescomplemented
653C23×C22⋊C4C241896yescomplemented
654C23×C42—216no—
655C23×C42—416no—
656C23×C42C24128yes—
657C23×C42C24156yes—
658#2696C2418192yescomplemented
659#2693C2418192yescomplemented
660#2688C2418192yescomplemented
661#2684C2418192yescomplemented
662#2678C2418192yescomplemented
663#2678C2418192yescomplemented
664#2635C2414096yescomplemented
665#2615C2414096yescomplemented
666#2534C2414096yescomplemented
667#2456C2418192yescomplemented
668#2418C2418192yescomplemented
669#2410C2418192yescomplemented
670#2408C2418192yescomplemented
671#2404C2414096yescomplemented
672#2403C2418192yescomplemented
673#2403C2418192yescomplemented
674C2×#400C241448yescomplemented
675C2×#400C241896yescomplemented
676C2×#399C241448yescomplemented
677C2×#397C241896yescomplemented
678C2×#397C241896yescomplemented
679C2×#397C241896yescomplemented
680C2×#396C241896yescomplemented
681C2×#396C241896yescomplemented
682C2×#394C241896yescomplemented
683C2×#394C241448yescomplemented
684C2×#394C241896yescomplemented
685C2×#394C241896yescomplemented
686C2×#394C241896yescomplemented
687C2×#394C241896yescomplemented
688C2×#393C241896yescomplemented
689C2×#393C241896yescomplemented
690C2×#392C241896yes—
691C2×#392C241896yes—
692C2×#392C241896yescomplemented
693C2×#392C241448yescomplemented
694C2×#392C241896yescomplemented
695C2×#392C241896yescomplemented
696C2×#392C241896yescomplemented
697C2×#392C241896yescomplemented
698C2×#392C241896yescomplemented
699C2×#392C241896yescomplemented
700#2377C2414096yescomplemented
701C2×#390C241896yescomplemented
702C2×#390C241896yescomplemented
703C2×#390C241896yescomplemented
704C2×#388C241896yescomplemented
705C2×#388C241896yescomplemented
706C2×#388C241896yescomplemented
707C2×#388C241896yescomplemented
708C2×#387C241896yescomplemented
709C2×#386C241896yescomplemented
710C2×#386C241896yescomplemented
711C2×#386C241896yescomplemented
712C2×#386C241896yescomplemented
713C2×#386C241896yescomplemented
714C2×#386C241896yescomplemented
715C2×#386C241896yescomplemented
716C2×#386C241896yescomplemented
717C2×#386C241896yescomplemented
718C2×#386C241896yescomplemented
719C2×#386C241896yescomplemented
720C2×#386C241896yescomplemented
721C2×#386C241896yescomplemented
722C2×#385C241896yescomplemented
723C2×#385C241896yescomplemented
724C2×#381C241448yescomplemented
725C2×#381C241448yescomplemented
726C2×#380C241448yescomplemented
727C2×#380C241896yescomplemented
728C2×#380C241896yescomplemented
729C2×#379C241448yescomplemented
730C2×#379C241896yescomplemented
731C2×#379C241896yescomplemented
732C2×#379C241896yescomplemented
733C22×#95C24156yes—
734C22×#95C24156yes—
735C22×#95C24156yes—
736C22×#95C24156yes—
737C22×#95C24128yes—
738C22×#95C24156yes—
739C22×#95C24156yes—
740C22×#95C24128yes—
741C22×#95C24156yes—
742C22×#95C24156yes—
743C22×#95C24156yes—
744C22×#95C24156yes—
745C22×#95C24156yes—
746C22×#95C24156yes—
747C26—2512no—
748C26—216no—
749C26—216no—
750C26—28no—
751C26—216no—
752C26—216no—
753C26—216no—
754C26—28no—
755C26—216no—
756C26—216no—
757C26—216no—
758C26—216no—
759C26—216no—
760C26—216no—
761C26—216no—
762C26—216no—
763C26—216no—
764C26—216no—
765C26—216no—
766C26—216no—
767C26—216no—
768C26—216no—
769C26—28no—
770C26—28no—
771C26—216no—
772C26—216no—
773C26—216no—
774C26—2224no—
775C26—2448no—
776C26—216no—
777C26—216no—
778C26—216no—
779C26—216no—
780C26—216no—
781C26—216no—
782C26—216no—
783C26—2448no—
784C26—2448no—
785C26—2448no—
786C26—2448no—
787C26—2448no—
788C26—4224no—
789C26—4224no—
790C26—4224no—
791C26—4224no—
792C26—4224no—
793C26—4224no—
794C26—4112no—
795C26—4224no—
796C26—4224no—
797C26—4112no—
798C26—4224no—
799C26—4224no—
800C26—4512no—
801C26—4512no—
802C26—4512no—
803C26—4512no—
804C26—4512no—
805C26—8128no—
806C26—8256no—
807C26—8256no—
808C26—8128no—
809C26—8256no—
810C26—8256no—
811C26—8256no—
812C26—8256no—
813C26—8256no—
814C26—8256no—
815C26—8256no—
816C26—8256no—
817C26—8256no—
818C26C22×D4116yes—
819C26C22×D4132yes—
820C26H(5,𝔽2)132yes—
821C26H(5,𝔽2)132yes—
822C26H(5,𝔽2)116yes—
823C26C25128yes—
824C26C25114yes—
825C26C25128yes—
826C26C25128yes—
827C26C25114yes—
828C26C25128yes—
829C26C251112yes—
830C26C251224yes—
831C26C251224yes—
832C26C2511yescharacteristic
833C22×#41—23584no—
834C22×#41—43584no—
835C22×#41—414336no—
836C22×#41C251512yescomplemented
837C23×Q8—2224no—
838C23×Q8—4224no—
839C23×Q8—4256no—
840C23×Q8C251112yes—
841C23×D4—2512no—
842C23×D4—2448no—
843C23×D4—2448no—
844C23×D4—2448no—
845C23×D4—2448no—
846C23×D4—2448no—
847C23×D4—2224no—
848C23×D4—2448no—
849C23×D4—2448no—
850C23×D4—2448no—
851C23×D4—2448no—
852C23×D4—2448no—
853C23×D4—2448no—
854C23×D4—2448no—
855C23×D4—2448no—
856C23×D4—2448no—
857C23×D4—2448no—
858C23×D4—2448no—
859C23×D4—2448no—
860C23×D4—2224no—
861C23×D4—2448no—
862C23×D4—2448no—
863C23×D4—23584no—
864C23×D4—27168no—
865C23×D4—2224no—
866C23×D4—2448no—
867C23×D4—2224no—
868C23×D4—4256no—
869C23×D4—4512no—
870C23×D4—4224no—
871C23×D4—4224no—
872C23×D4—4224no—
873C23×D4—4224no—
874C23×D4—4224no—
875C23×D4—4224no—
876C23×D4—4224no—
877C23×D4—4224no—
878C23×D4—4224no—
879C23×D4—4224no—
880C23×D4—4224no—
881C23×D4—4224no—
882C23×D4—4224no—
883C23×D4—4224no—
884C23×D4—43584no—
885C23×D4—4224no—
886C23×D4—4112no—
887C23×D4—4224no—
888C23×D4—4512no—
889C23×D4—4224no—
890C23×D4—4224no—
891C23×D4—4224no—
892C23×D4—4224no—
893C23×D4—4224no—
894C23×D4—43584no—
895C23×D4—43584no—
896C23×D4—43584no—
897C23×D4—43584no—
898C23×D4—43584no—
899C23×D4—414336no—
900C23×D4—4256no—
901C23×D4—4512no—
902C23×D4—4512no—
903C23×D4—4512no—
904C23×D4—4512no—
905C23×D4—4512no—
906C23×D4—4512no—
907C23×D4—428672no—
908C23×D4—4512no—
909C23×D4—4512no—
910C23×D4—4512no—
911C23×D4—428672no—
912C23×D4—8128no—
913C23×D4—8256no—
914C23×D4—8256no—
915C23×D4C22×D41448yes—
916C23×D4C22×D41896yescomplemented
917C23×D4C251112yes—
918C23×D4C251224yes—
919C23×D4C251224yes—
920C23×D4C251224yes—
921C23×D4C251224yes—
922C23×D4C251224yes—
923C23×D4C251224yes—
924C23×D4C251112yes—
925C23×D4C251224yes—
926C23×D4C251224yes—
927C23×D4C251224yes—
928C23×D4C251224yes—
929C23×D4C251224yes—
930C23×D4C251224yes—
931C23×D4C251112yes—
932C23×D4C251112yes—
933C23×D4C251224yes—
934C23×D4C251512yescomplemented
935C23×D4C2511024yescomplemented
936C23×D4C2511024yescomplemented
937C24×C4—216no—
938C24×C4—216no—
939C24×C4—216no—
940C24×C4—216no—
941C24×C4—28no—
942C24×C4—216no—
943C24×C4—28no—
944C24×C4—216no—
945C24×C4—216no—
946C24×C4—28no—
947C24×C4—216no—
948C24×C4—2448no—
949C24×C4—216no—
950C24×C4—2448no—
951C24×C4—216no—
952C24×C4—216no—
953C24×C4—216no—
954C24×C4—216no—
955C24×C4—216no—
956C24×C4—216no—
957C24×C4—216no—
958C24×C4—216no—
959C24×C4—216no—
960C24×C4—216no—
961C24×C4—216no—
962C24×C4—216no—
963C24×C4—216no—
964C24×C4—216no—
965C24×C4—28no—
966C24×C4—216no—
967C24×C4—216no—
968C24×C4—216no—
969C24×C4—28no—
970C24×C4—216no—
971C24×C4—2224no—
972C24×C4—2224no—
973C24×C4—2448no—
974C24×C4—2448no—
975C24×C4—2448no—
976C24×C4—4256no—
977C24×C4—4224no—
978C24×C4—4224no—
979C24×C4—4224no—
980C24×C4—4224no—
981C24×C4—4224no—
982C24×C4—4224no—
983C24×C4—4224no—
984C24×C4—4112no—
985C24×C4—4224no—
986C24×C4—4224no—
987C24×C4—4112no—
988C24×C4—4512no—
989C24×C4—4512no—
990C24×C4—4256no—
991C24×C4—4512no—
992C24×C4—8256no—
993C24×C4—8128no—
994C24×C4C22×D4116yes—
995C24×C4C22×D4132yes—
996C24×C4C22×D4116yes—
997C24×C4C22×D41448yescomplemented
998C24×C4C25114yes—
999C24×C4C25128yes—
1000C24×C4C25114yes—
1001C24×C4C25128yes—
1002C24×C4C25128yes—
1003C24×C4C25128yes—
1004C24×C4C25128yes—
1005C24×C4C25114yes—
1006C24×C4C25128yes—
1007C24×C4C25128yes—
1008C24×C4C251224yes—
1009C24×C4C251224yes—
1010C24×C4C25114yes—
1011C24×C4C25114yes—
1012C24×C4C25128yes—
1013C24×C4C251112yes—
1014C24×C4C251224yes—
1015C24×C4C251112yes—
1016C24×C4C251224yes—
1017C24×C4C251112yes—
1018#546—232768no—
1019#534—232768no—
1020C2×#124—23584no—
1021C2×#124C251512yescomplemented
1022C2×#123—27168no—
1023C2×#123—27168no—
1024C2×#123—27168no—
1025C2×#123—41792no—
1026C2×#123C2511024yescomplemented
1027C2×#123C2511024yescomplemented
1028C2×#123C2511024yescomplemented
1029C2×#123C251512yescomplemented
1030C2×C22⋊Q8—23584no—
1031C2×C22⋊Q8C251512yescomplemented
1032C2×#121—27168no—
1033C2×#121—27168no—
1034C2×#121—23584no—
1035C2×#121—43584no—
1036C2×#121—43584no—
1037C2×#121C22×D417168yescomplemented
1038C2×#121C251512yes—
1039C2×#121C251512yescomplemented
1040C2×#121C2511024yescomplemented
1041C2×#121C2511024yescomplemented
1042C2×#121C2511024yescomplemented
1043C2×#121C2511024yescomplemented
1044C2×#120—27168no—
1045C2×#120—27168no—
1046C2×#120—27168no—
1047C2×#120—43584no—
1048C2×#120—43584no—
1049C2×#120—41792no—
1050C2×#120—43584no—
1051C2×#120—43584no—
1052C2×#120C2511024yes—
1053C2×#120C2511024yes—
1054C2×#120C251512yes—
1055C2×#120C2511024yescomplemented
1056C2×#120C2511024yescomplemented
1057C2×#120C2511024yescomplemented
1058C2×#120C2511024yescomplemented
1059C2×#120C2511024yescomplemented
1060C2×C4×D4—23584no—
1061C2×C4×D4—23584no—
1062C2×C4×D4—43584no—
1063C2×C4×D4C251512yescomplemented
1064C2×C4×D4C251512yescomplemented
1065C2×C4×D4C2511024yescomplemented
1066C22×C4⋊C4—2224no—
1067C22×C4⋊C4—2448no—
1068C22×C4⋊C4—2448no—
1069C22×C4⋊C4—2224no—
1070C22×C4⋊C4—4224no—
1071C22×C4⋊C4—4224no—
1072C22×C4⋊C4—4224no—
1073C22×C4⋊C4—4224no—
1074C22×C4⋊C4C22×D41448yescomplemented
1075C22×C4⋊C4C251112yes—
1076C22×C4⋊C4C251224yes—
1077C22×C4⋊C4C251224yes—
1078C22×C4⋊C4C251112yes—
1079C22×C4⋊C4C251224yes—
1080C22×C4⋊C4C251224yes—
1081C22×C4⋊C4C251224yes—
1082C22×C4⋊C4C251224yes—
1083C22×C4⋊C4C251112yes—
1084C22×C22⋊C4—2448no—
1085C22×C22⋊C4—2224no—
1086C22×C22⋊C4—2448no—
1087C22×C22⋊C4—2448no—
1088C22×C22⋊C4—2448no—
1089C22×C22⋊C4—2448no—
1090C22×C22⋊C4—2224no—
1091C22×C22⋊C4—2448no—
1092C22×C22⋊C4—2448no—
1093C22×C22⋊C4—2448no—
1094C22×C22⋊C4—2448no—
1095C22×C22⋊C4—2448no—
1096C22×C22⋊C4—2448no—
1097C22×C22⋊C4—23584no—
1098C22×C22⋊C4—27168no—
1099C22×C22⋊C4—4224no—
1100C22×C22⋊C4—4224no—
1101C22×C22⋊C4—4224no—
1102C22×C22⋊C4—4224no—
1103C22×C22⋊C4—4224no—
1104C22×C22⋊C4—4224no—
1105C22×C22⋊C4—4224no—
1106C22×C22⋊C4—4224no—
1107C22×C22⋊C4—4224no—
1108C22×C22⋊C4—4224no—
1109C22×C22⋊C4—4224no—
1110C22×C22⋊C4—4224no—
1111C22×C22⋊C4—4224no—
1112C22×C22⋊C4—4112no—
1113C22×C22⋊C4—4224no—
1114C22×C22⋊C4—4224no—
1115C22×C22⋊C4—4224no—
1116C22×C22⋊C4—4224no—
1117C22×C22⋊C4—4224no—
1118C22×C22⋊C4—4112no—
1119C22×C22⋊C4C22×D41896yescomplemented
1120C22×C22⋊C4C251224yes—
1121C22×C22⋊C4C251224yes—
1122C22×C22⋊C4C251224yes—
1123C22×C22⋊C4C251112yes—
1124C22×C22⋊C4C251224yes—
1125C22×C22⋊C4C251112yes—
1126C22×C22⋊C4C251224yes—
1127C22×C22⋊C4C251224yes—
1128C22×C22⋊C4C251224yes—
1129C22×C22⋊C4C251224yes—
1130C22×C22⋊C4C251224yes—
1131C22×C22⋊C4C251224yes—
1132C22×C22⋊C4C251224yes—
1133C22×C22⋊C4C251224yes—
1134C22×C22⋊C4C251224yes—
1135C22×C22⋊C4C251224yes—
1136C22×C22⋊C4C251224yes—
1137C22×C22⋊C4C251224yes—
1138C22×C22⋊C4C251224yes—
1139C22×C22⋊C4C251112yes—
1140C22×C22⋊C4C251224yes—
1141C22×C22⋊C4C251112yes—
1142C22×C22⋊C4C251224yes—
1143C22×C22⋊C4C251224yes—
1144C22×C22⋊C4C251224yes—
1145C22×C22⋊C4C251224yes—
1146C22×C22⋊C4C251224yes—
1147C22×C22⋊C4C251224yes—
1148C22×C22⋊C4C251224yes—
1149C22×C22⋊C4C251224yes—
1150C22×C22⋊C4C251224yes—
1151C22×C22⋊C4C251224yes—
1152C22×C22⋊C4C251224yes—
1153C22×C22⋊C4C251224yes—
1154C22×C22⋊C4C251512yescomplemented
1155C22×C22⋊C4C2511024yescomplemented
1156C22×C42—2224no—
1157C22×C42—4224no—
1158C22×C42C251112yes—
1159C22×C42C251224yes—
1160#400C251512yescomplemented
1161#400C2511024yescomplemented
1162#399C251512yescomplemented
1163#397C2511024yescomplemented
1164#397C2511024yescomplemented
1165#397C2511024yescomplemented
1166#396C2511024yescomplemented
1167#396C2511024yescomplemented
1168#394C2511024yescomplemented
1169#394C251512yescomplemented
1170#394C2511024yescomplemented
1171#394C2511024yescomplemented
1172#394C2511024yescomplemented
1173#394C2511024yescomplemented
1174#393C2511024yescomplemented
1175#393C2511024yescomplemented
1176#392C2511024yes—
1177#392C2511024yes—
1178#392C2511024yescomplemented
1179#392C2511024yescomplemented
1180#392C2511024yescomplemented
1181#392C2511024yescomplemented
1182#392C251512yescomplemented
1183#392C2511024yescomplemented
1184#392C2511024yescomplemented
1185#392C2511024yescomplemented
1186#390C2511024yescomplemented
1187#390C2511024yescomplemented
1188#390C2511024yescomplemented
1189#388C2511024yescomplemented
1190#388C2511024yescomplemented
1191#388C2511024yescomplemented
1192#388C2511024yescomplemented
1193#387C2511024yescomplemented
1194#386C2511024yescomplemented
1195#386C2511024yescomplemented
1196#386C2511024yescomplemented
1197#386C2511024yescomplemented
1198#386C2511024yescomplemented
1199#386C2511024yescomplemented
1200#386C2511024yescomplemented
1201#386C2511024yescomplemented
1202#386C2511024yescomplemented
1203#386C2511024yescomplemented
1204#386C2511024yescomplemented
1205#386C2511024yescomplemented
1206#386C2511024yescomplemented
1207#385C2511024yescomplemented
1208#385C2511024yescomplemented
1209#381C251512yescomplemented
1210#381C251512yescomplemented
1211#380C251512yescomplemented
1212#380C2511024yescomplemented
1213#380C2511024yescomplemented
1214#379C2511024yescomplemented
1215#379C2511024yescomplemented
1216#379C251512yescomplemented
1217#379C2511024yescomplemented
1218C2×#95C251224yes—
1219C2×#95C251224yes—
1220C2×#95C251224yes—
1221C2×#95C251224yes—
1222C2×#95C251224yes—
1223C2×#95C251224yes—
1224C2×#95C251224yes—
1225C2×#95C251224yes—
1226C2×#95C251224yes—
1227C2×#95C251112yes—
1228C2×#95C251224yes—
1229C2×#95C251224yes—
1230C2×#95C251224yes—
1231C2×#95C251112yes—
1232C25—23584no—
1233C25—256no—
1234C25—2112no—
1235C25—2112no—
1236C25—2112no—
1237C25—256no—
1238C25—2112no—
1239C25—2112no—
1240C25—2112no—
1241C25—2112no—
1242C25—2112no—
1243C25—2112no—
1244C25—2112no—
1245C25—2112no—
1246C25—2112no—
1247C25—2112no—
1248C25—2112no—
1249C25—2112no—
1250C25—2112no—
1251C25—2112no—
1252C25—2112no—
1253C25—2112no—
1254C25—2112no—
1255C25—256no—
1256C25—2112no—
1257C25—256no—
1258C25—2112no—
1259C25—2256no—
1260C25—2256no—
1261C25—2128no—
1262C25—2128no—
1263C25—2256no—
1264C25—2256no—
1265C25—2128no—
1266C25—2128no—
1267C25—2256no—
1268C25—2256no—
1269C25—2256no—
1270C25—2256no—
1271C25—2256no—
1272C25—2256no—
1273C25—2448no—
1274C25—2896no—
1275C25—2112no—
1276C25—2112no—
1277C25—2112no—
1278C25—2112no—
1279C25—2112no—
1280C25—2112no—
1281C25—2112no—
1282C25—2896no—
1283C25—2896no—
1284C25—2896no—
1285C25—2896no—
1286C25—2896no—
1287C25—4448no—
1288C25—4448no—
1289C25—4448no—
1290C25—4448no—
1291C25—4448no—
1292C25—4448no—
1293C25—4448no—
1294C25—4224no—
1295C25—4448no—
1296C25—4448no—
1297C25—4224no—
1298C25—4448no—
1299C25—43584no—
1300C25—43584no—
1301C25—43584no—
1302C25—43584no—
1303C25—43584no—
1304C25—464no—
1305C25—4128no—
1306C25—4128no—
1307C25—464no—
1308C25—4128no—
1309C25—4128no—
1310C25—4128no—
1311C25—4128no—
1312C25—4128no—
1313C25—4128no—
1314C25—4128no—
1315C25—4128no—
1316C25—4128no—
1317C25—4128no—
1318C25—4128no—
1319C25—4128no—
1320C25—4128no—
1321C25—4128no—
1322C25—4128no—
1323C25—4128no—
1324C25—4128no—
1325C25—4128no—
1326C25—4128no—
1327C25—4128no—
1328C25—81792no—
1329C25—81792no—
1330C25—81792no—
1331C25—8896no—
1332C25—81792no—
1333C25—81792no—
1334C25—8896no—
1335C25—81792no—
1336C25—81792no—
1337C25—81792no—
1338C25—84096no—
1339C25—81792no—
1340C25—81792no—
1341C25—88192no—
1342C25—81792no—
1343C25—88192no—
1344C25C23×D41224yes—
1345C25C23×D41112yes—
1346C25C23×D418yes—
1347C25C2×H(5,𝔽2)1112yes—
1348C25C2×H(5,𝔽2)1224yes—
1349C25C2×H(5,𝔽2)1224yes—
1350C25C2×H(5,𝔽2)116yes—
1351C25C2×H(5,𝔽2)116yes—
1352C25C2×H(5,𝔽2)18yes—
1353C25#58518yes—
1354C25C26156yes—
1355C25C26156yes—
1356C25C26128yes—
1357C25C26128yes—
1358C25C26156yes—
1359C25C26156yes—
1360C25C26164yes—
1361C25C261128yes—
1362C25C261128yes—
1363C25C2617yes—
1364C2×#41—22048no—
1365C2×#41—42048no—
1366C2×#41—428672no—
1367C22×Q8—2448no—
1368C22×Q8—4448no—
1369C22×Q8—41792no—
1370C22×Q8C26164yes—
1371C22×D4—23584no—
1372C22×D4—2896no—
1373C22×D4—2448no—
1374C22×D4—2896no—
1375C22×D4—2896no—
1376C22×D4—2896no—
1377C22×D4—2896no—
1378C22×D4—2896no—
1379C22×D4—2896no—
1380C22×D4—2448no—
1381C22×D4—2896no—
1382C22×D4—2896no—
1383C22×D4—2896no—
1384C22×D4—2896no—
1385C22×D4—2896no—
1386C22×D4—2896no—
1387C22×D4—2896no—
1388C22×D4—2896no—
1389C22×D4—2896no—
1390C22×D4—2896no—
1391C22×D4—2896no—
1392C22×D4—2896no—
1393C22×D4—22048no—
1394C22×D4—24096no—
1395C22×D4—2448no—
1396C22×D4—2896no—
1397C22×D4—2448no—
1398C22×D4—41792no—
1399C22×D4—43584no—
1400C22×D4—4448no—
1401C22×D4—4448no—
1402C22×D4—4448no—
1403C22×D4—4448no—
1404C22×D4—4448no—
1405C22×D4—4448no—
1406C22×D4—4448no—
1407C22×D4—4448no—
1408C22×D4—4448no—
1409C22×D4—4448no—
1410C22×D4—4448no—
1411C22×D4—4448no—
1412C22×D4—4448no—
1413C22×D4—4448no—
1414C22×D4—42048no—
1415C22×D4—4448no—
1416C22×D4—4224no—
1417C22×D4—4448no—
1418C22×D4—43584no—
1419C22×D4—4448no—
1420C22×D4—4448no—
1421C22×D4—4448no—
1422C22×D4—4448no—
1423C22×D4—4448no—
1424C22×D4—42048no—
1425C22×D4—42048no—
1426C22×D4—42048no—
1427C22×D4—42048no—
1428C22×D4—42048no—
1429C22×D4—428672no—
1430C22×D4—43584no—
1431C22×D4—41792no—
1432C22×D4—43584no—
1433C22×D4—43584no—
1434C22×D4—43584no—
1435C22×D4—43584no—
1436C22×D4—43584no—
1437C22×D4—457344no—
1438C22×D4—43584no—
1439C22×D4—43584no—
1440C22×D4—43584no—
1441C22×D4—457344no—
1442C22×D4—8896no—
1443C22×D4—81792no—
1444C22×D4—81792no—
1445C22×D4C23×D41896yes—
1446C22×D4C23×D411792yescomplemented
1447C22×D4C26164yes—
1448C22×D4C26164yes—
1449C22×D4C261128yes—
1450C22×D4C261128yes—
1451C22×D4C261128yes—
1452C22×D4C261128yes—
1453C22×D4C261128yes—
1454C22×D4C261128yes—
1455C22×D4C261128yes—
1456C22×D4C261128yes—
1457C22×D4C26164yes—
1458C22×D4C261128yes—
1459C22×D4C261128yes—
1460C22×D4C261128yes—
1461C22×D4C261128yes—
1462C22×D4C26164yes—
1463C22×D4C261128yes—
1464C23×C4—2112no—
1465C23×C4—2112no—
1466C23×C4—2112no—
1467C23×C4—2112no—
1468C23×C4—2128no—
1469C23×C4—2128no—
1470C23×C4—2256no—
1471C23×C4—2112no—
1472C23×C4—256no—
1473C23×C4—256no—
1474C23×C4—2112no—
1475C23×C4—2112no—
1476C23×C4—256no—
1477C23×C4—2112no—
1478C23×C4—2112no—
1479C23×C4—2112no—
1480C23×C4—2112no—
1481C23×C4—2112no—
1482C23×C4—2112no—
1483C23×C4—256no—
1484C23×C4—2112no—
1485C23×C4—2112no—
1486C23×C4—2112no—
1487C23×C4—2112no—
1488C23×C4—2112no—
1489C23×C4—2112no—
1490C23×C4—2112no—
1491C23×C4—2112no—
1492C23×C4—2112no—
1493C23×C4—2112no—
1494C23×C4—2112no—
1495C23×C4—2112no—
1496C23×C4—2896no—
1497C23×C4—2896no—
1498C23×C4—2112no—
1499C23×C4—256no—
1500C23×C4—2112no—
1501C23×C4—2448no—
1502C23×C4—2896no—
1503C23×C4—2448no—
1504C23×C4—2896no—
1505C23×C4—2896no—
1506C23×C4—41792no—
1507C23×C4—4448no—
1508C23×C4—4448no—
1509C23×C4—4448no—
1510C23×C4—4448no—
1511C23×C4—4448no—
1512C23×C4—4448no—
1513C23×C4—4448no—
1514C23×C4—4448no—
1515C23×C4—4448no—
1516C23×C4—4224no—
1517C23×C4—4224no—
1518C23×C4—43584no—
1519C23×C4—43584no—
1520C23×C4—41792no—
1521C23×C4—43584no—
1522C23×C4—4128no—
1523C23×C4—464no—
1524C23×C4—4128no—
1525C23×C4—464no—
1526C23×C4—4128no—
1527C23×C4—464no—
1528C23×C4—4128no—
1529C23×C4—4128no—
1530C23×C4—4128no—
1531C23×C4—4128no—
1532C23×C4—81792no—
1533C23×C4—8896no—
1534C23×C4C23×D41112yes—
1535C23×C4C23×D41112yes—
1536C23×C4C23×D41224yes—
1537C23×C4C23×D41896yescomplemented
1538C23×C4C26128yes—
1539C23×C4C26156yes—
1540C23×C4C26128yes—
1541C23×C4C26156yes—
1542C23×C4C26156yes—
1543C23×C4C26156yes—
1544C23×C4C26156yes—
1545C23×C4C26128yes—
1546C23×C4C26156yes—
1547C23×C4C26156yes—
1548C23×C4C261128yes—
1549C23×C4C261128yes—
1550C23×C4C26128yes—
1551C23×C4C26156yes—
1552C23×C4C26128yes—
1553C23×C4C261128yes—
1554C23×C4C26164yes—
1555C23×C4C26164yes—
1556C23×C4C261128yes—
1557C23×C4C26164yes—
1558#124—22048no—
1559#123—24096no—
1560#123—24096no—
1561#123—24096no—
1562#123—41024no—
1563C22⋊Q8—22048no—
1564#121—24096no—
1565#121—24096no—
1566#121—22048no—
1567#121—42048no—
1568#121—42048no—
1569#121C23×D414096yescomplemented
1570#120—24096no—
1571#120—24096no—
1572#120—24096no—
1573#120—42048no—
1574#120—42048no—
1575#120—41024no—
1576#120—42048no—
1577#120—42048no—
1578C4×D4—22048no—
1579C4×D4—22048no—
1580C4×D4—42048no—
1581C2×C4⋊C4—2448no—
1582C2×C4⋊C4—2896no—
1583C2×C4⋊C4—2896no—
1584C2×C4⋊C4—2448no—
1585C2×C4⋊C4—4448no—
1586C2×C4⋊C4—4448no—
1587C2×C4⋊C4—4448no—
1588C2×C4⋊C4—4448no—
1589C2×C4⋊C4C23×D41896yescomplemented
1590C2×C4⋊C4C26164yes—
1591C2×C4⋊C4C261128yes—
1592C2×C4⋊C4C26164yes—
1593C2×C4⋊C4C261128yes—
1594C2×C4⋊C4C261128yes—
1595C2×C4⋊C4C261128yes—
1596C2×C4⋊C4C261128yes—
1597C2×C4⋊C4C261128yes—
1598C2×C4⋊C4C26164yes—
1599C2×C22⋊C4—2896no—
1600C2×C22⋊C4—2448no—
1601C2×C22⋊C4—2896no—
1602C2×C22⋊C4—2896no—
1603C2×C22⋊C4—2896no—
1604C2×C22⋊C4—2896no—
1605C2×C22⋊C4—2448no—
1606C2×C22⋊C4—2896no—
1607C2×C22⋊C4—2896no—
1608C2×C22⋊C4—2896no—
1609C2×C22⋊C4—2896no—
1610C2×C22⋊C4—2896no—
1611C2×C22⋊C4—2896no—
1612C2×C22⋊C4—22048no—
1613C2×C22⋊C4—24096no—
1614C2×C22⋊C4—4448no—
1615C2×C22⋊C4—4448no—
1616C2×C22⋊C4—4448no—
1617C2×C22⋊C4—4448no—
1618C2×C22⋊C4—4448no—
1619C2×C22⋊C4—4448no—
1620C2×C22⋊C4—4448no—
1621C2×C22⋊C4—4448no—
1622C2×C22⋊C4—4448no—
1623C2×C22⋊C4—4448no—
1624C2×C22⋊C4—4448no—
1625C2×C22⋊C4—4448no—
1626C2×C22⋊C4—4448no—
1627C2×C22⋊C4—4224no—
1628C2×C22⋊C4—4448no—
1629C2×C22⋊C4—4448no—
1630C2×C22⋊C4—4448no—
1631C2×C22⋊C4—4448no—
1632C2×C22⋊C4—4448no—
1633C2×C22⋊C4—4224no—
1634C2×C22⋊C4C23×D411792yescomplemented
1635C2×C22⋊C4C26164yes—
1636C2×C22⋊C4C261128yes—
1637C2×C22⋊C4C261128yes—
1638C2×C22⋊C4C261128yes—
1639C2×C22⋊C4C261128yes—
1640C2×C22⋊C4C261128yes—
1641C2×C22⋊C4C26164yes—
1642C2×C22⋊C4C261128yes—
1643C2×C22⋊C4C261128yes—
1644C2×C22⋊C4C261128yes—
1645C2×C22⋊C4C261128yes—
1646C2×C22⋊C4C261128yes—
1647C2×C22⋊C4C261128yes—
1648C2×C22⋊C4C261128yes—
1649C2×C22⋊C4C261128yes—
1650C2×C22⋊C4C261128yes—
1651C2×C22⋊C4C261128yes—
1652C2×C22⋊C4C26164yes—
1653C2×C22⋊C4C261128yes—
1654C2×C22⋊C4C261128yes—
1655C2×C22⋊C4C261128yes—
1656C2×C22⋊C4C261128yes—
1657C2×C22⋊C4C261128yes—
1658C2×C22⋊C4C261128yes—
1659C2×C22⋊C4C261128yes—
1660C2×C22⋊C4C261128yes—
1661C2×C22⋊C4C261128yes—
1662C2×C22⋊C4C261128yes—
1663C2×C22⋊C4C261128yes—
1664C2×C22⋊C4C261128yes—
1665C2×C22⋊C4C26164yes—
1666C2×C22⋊C4C261128yes—
1667C2×C22⋊C4C261128yes—
1668C2×C22⋊C4C261128yes—
1669C2×C42—2448no—
1670C2×C42—4448no—
1671C2×C42C26164yes—
1672C2×C42C261128yes—
1673#95C261128yes—
1674#95C261128yes—
1675#95C261128yes—
1676#95C261128yes—
1677#95C26164yes—
1678#95C261128yes—
1679#95C261128yes—
1680#95C26164yes—
1681#95C261128yes—
1682#95C261128yes—
1683#95C261128yes—
1684#95C261128yes—
1685#95C261128yes—
1686#95C261128yes—
1687C24—23584no—
1688C24—2896no—
1689C24—2896no—
1690C24—2896no—
1691C24—2896no—
1692C24—2448no—
1693C24—2448no—
1694C24—2896no—
1695C24—2896no—
1696C24—2448no—
1697C24—2448no—
1698C24—2896no—
1699C24—256no—
1700C24—2112no—
1701C24—2112no—
1702C24—2112no—
1703C24—256no—
1704C24—2112no—
1705C24—2112no—
1706C24—2112no—
1707C24—2112no—
1708C24—2112no—
1709C24—2112no—
1710C24—2112no—
1711C24—2112no—
1712C24—2112no—
1713C24—2112no—
1714C24—2112no—
1715C24—2112no—
1716C24—2112no—
1717C24—2112no—
1718C24—2112no—
1719C24—2112no—
1720C24—2112no—
1721C24—256no—
1722C24—2112no—
1723C24—256no—
1724C24—2112no—
1725C24—2896no—
1726C24—2896no—
1727C24—2896no—
1728C24—2128no—
1729C24—2256no—
1730C24—2112no—
1731C24—2112no—
1732C24—2112no—
1733C24—2112no—
1734C24—2112no—
1735C24—2112no—
1736C24—2112no—
1737C24—2256no—
1738C24—2256no—
1739C24—2256no—
1740C24—2256no—
1741C24—2256no—
1742C24—4128no—
1743C24—4128no—
1744C24—4128no—
1745C24—4128no—
1746C24—4128no—
1747C24—4128no—
1748C24—4128no—
1749C24—464no—
1750C24—4128no—
1751C24—4128no—
1752C24—464no—
1753C24—4128no—
1754C24—43584no—
1755C24—43584no—
1756C24—43584no—
1757C24—43584no—
1758C24—43584no—
1759C24—4448no—
1760C24—4448no—
1761C24—4448no—
1762C24—4448no—
1763C24—4448no—
1764C24—4448no—
1765C24—4224no—
1766C24—4448no—
1767C24—4224no—
1768C24—4448no—
1769C24—4448no—
1770C24—4448no—
1771C24—42048no—
1772C24—41024no—
1773C24—42048no—
1774C24—42048no—
1775C24—41024no—
1776C24—4448no—
1777C24—4448no—
1778C24—4448no—
1779C24—4448no—
1780C24—4448no—
1781C24—4448no—
1782C24—4448no—
1783C24—4448no—
1784C24—4448no—
1785C24—4448no—
1786C24—4448no—
1787C24—4448no—
1788C24—81792no—
1789C24—81792no—
1790C24—81792no—
1791C24—81792no—
1792C24—81792no—
1793C24—8896no—
1794C24—81792no—
1795C24—81792no—
1796C24—8896no—
1797C24—81792no—
1798C24—814336no—
1799C24—81792no—
1800C24—81792no—
1801C24—81792no—
1802C24—828672no—
1803C24—828672no—
1804C24—81024no—
1805C24#3484164yes—
1806C24#3484164yes—
1807C24#3488164yes—
1808C24#35321128yes—
1809C24#35341128yes—
1810C24C24×D41224yes—
1811C24C24×D41112yes—
1812C24C24×D4128yes—
1813C24C22×H(5,𝔽2)1112yes—
1814C24C22×H(5,𝔽2)1224yes—
1815C24C22×H(5,𝔽2)1224yes—
1816C24C22×H(5,𝔽2)156yes—
1817C24C22×H(5,𝔽2)156yes—
1818C24C22×H(5,𝔽2)128yes—
1819C24C2×#585128yes—
1820C24C27116yes—
1821C24C27116yes—
1822C24C2718yes—
1823C24C2718yes—
1824C24C27116yes—
1825C24C27116yes—
1826C24C2717yes—
1827#41—48192no—
1828C2×Q8—2128no—
1829C2×Q8—4128no—
1830C2×Q8—41792no—
1831C2×D4—23584no—
1832C2×D4—2256no—
1833C2×D4—2128no—
1834C2×D4—2256no—
1835C2×D4—2256no—
1836C2×D4—2256no—
1837C2×D4—2256no—
1838C2×D4—2256no—
1839C2×D4—2256no—
1840C2×D4—2128no—
1841C2×D4—2256no—
1842C2×D4—2256no—
1843C2×D4—2256no—
1844C2×D4—2256no—
1845C2×D4—2256no—
1846C2×D4—2256no—
1847C2×D4—2256no—
1848C2×D4—2256no—
1849C2×D4—2256no—
1850C2×D4—2256no—
1851C2×D4—2256no—
1852C2×D4—2256no—
1853C2×D4—2128no—
1854C2×D4—2256no—
1855C2×D4—2128no—
1856C2×D4—41792no—
1857C2×D4—43584no—
1858C2×D4—4128no—
1859C2×D4—4128no—
1860C2×D4—4128no—
1861C2×D4—4128no—
1862C2×D4—4128no—
1863C2×D4—4128no—
1864C2×D4—4128no—
1865C2×D4—4128no—
1866C2×D4—4128no—
1867C2×D4—4128no—
1868C2×D4—4128no—
1869C2×D4—4128no—
1870C2×D4—4128no—
1871C2×D4—4128no—
1872C2×D4—4128no—
1873C2×D4—464no—
1874C2×D4—4128no—
1875C2×D4—43584no—
1876C2×D4—4128no—
1877C2×D4—4128no—
1878C2×D4—4128no—
1879C2×D4—4128no—
1880C2×D4—4128no—
1881C2×D4—48192no—
1882C2×D4—43584no—
1883C2×D4—41792no—
1884C2×D4—43584no—
1885C2×D4—43584no—
1886C2×D4—43584no—
1887C2×D4—43584no—
1888C2×D4—43584no—
1889C2×D4—416384no—
1890C2×D4—43584no—
1891C2×D4—43584no—
1892C2×D4—43584no—
1893C2×D4—416384no—
1894C2×D4—8896no—
1895C2×D4—81792no—
1896C2×D4—81792no—
1897C2×D4C24×D41256yes—
1898C2×D4C24×D41512yescomplemented
1899C22×C4—2448no—
1900C22×C4—2448no—
1901C22×C4—2896no—
1902C22×C4—2112no—
1903C22×C4—2112no—
1904C22×C4—2112no—
1905C22×C4—2112no—
1906C22×C4—256no—
1907C22×C4—256no—
1908C22×C4—2112no—
1909C22×C4—2112no—
1910C22×C4—2112no—
1911C22×C4—256no—
1912C22×C4—2112no—
1913C22×C4—2112no—
1914C22×C4—2112no—
1915C22×C4—2112no—
1916C22×C4—2112no—
1917C22×C4—2112no—
1918C22×C4—2112no—
1919C22×C4—256no—
1920C22×C4—2112no—
1921C22×C4—2112no—
1922C22×C4—2112no—
1923C22×C4—2112no—
1924C22×C4—2112no—
1925C22×C4—2112no—
1926C22×C4—2112no—
1927C22×C4—2112no—
1928C22×C4—2112no—
1929C22×C4—2112no—
1930C22×C4—2112no—
1931C22×C4—2256no—
1932C22×C4—2256no—
1933C22×C4—2112no—
1934C22×C4—256no—
1935C22×C4—2112no—
1936C22×C4—2128no—
1937C22×C4—2256no—
1938C22×C4—2128no—
1939C22×C4—2256no—
1940C22×C4—2256no—
1941C22×C4—41792no—
1942C22×C4—4128no—
1943C22×C4—4128no—
1944C22×C4—4128no—
1945C22×C4—4128no—
1946C22×C4—4128no—
1947C22×C4—4128no—
1948C22×C4—4128no—
1949C22×C4—4128no—
1950C22×C4—4128no—
1951C22×C4—464no—
1952C22×C4—464no—
1953C22×C4—43584no—
1954C22×C4—43584no—
1955C22×C4—41792no—
1956C22×C4—43584no—
1957C22×C4—4448no—
1958C22×C4—4448no—
1959C22×C4—4224no—
1960C22×C4—4448no—
1961C22×C4—4224no—
1962C22×C4—4448no—
1963C22×C4—4224no—
1964C22×C4—4448no—
1965C22×C4—4448no—
1966C22×C4—4448no—
1967C22×C4—81792no—
1968C22×C4—8896no—
1969C22×C4C24×D41112yes—
1970C22×C4C24×D41112yes—
1971C22×C4C24×D41224yes—
1972C22×C4C24×D41256yescomplemented
1973C22×C4C27116yes—
1974C22×C4C27116yes—
1975C22×C4C27116yes—
1976C22×C4C27116yes—
1977C22×C4C27116yes—
1978C22×C4C27116yes—
1979C22×C4C2718yes—
1980C22×C4C2718yes—
1981C22×C4C27116yes—
1982C22×C4C2718yes—
1983C22×C4C2718yes—
1984C22×C4C27116yes—
1985C22×C4C2718yes—
1986C4⋊C4—2128no—
1987C4⋊C4—2256no—
1988C4⋊C4—2256no—
1989C4⋊C4—2128no—
1990C4⋊C4—4128no—
1991C4⋊C4—4128no—
1992C4⋊C4—4128no—
1993C4⋊C4—4128no—
1994C4⋊C4C24×D41256yescomplemented
1995C22⋊C4—2256no—
1996C22⋊C4—2128no—
1997C22⋊C4—2256no—
1998C22⋊C4—2256no—
1999C22⋊C4—2256no—
2000C22⋊C4—2256no—
2001C22⋊C4—2128no—
2002C22⋊C4—2256no—
2003C22⋊C4—2256no—
2004C22⋊C4—2256no—
2005C22⋊C4—2256no—
2006C22⋊C4—2256no—
2007C22⋊C4—2256no—
2008C22⋊C4—4128no—
2009C22⋊C4—4128no—
2010C22⋊C4—4128no—
2011C22⋊C4—4128no—
2012C22⋊C4—4128no—
2013C22⋊C4—4128no—
2014C22⋊C4—4128no—
2015C22⋊C4—4128no—
2016C22⋊C4—4128no—
2017C22⋊C4—4128no—
2018C22⋊C4—4128no—
2019C22⋊C4—4128no—
2020C22⋊C4—4128no—
2021C22⋊C4—464no—
2022C22⋊C4—4128no—
2023C22⋊C4—4128no—
2024C22⋊C4—4128no—
2025C22⋊C4—4128no—
2026C22⋊C4—4128no—
2027C22⋊C4—464no—
2028C22⋊C4C24×D41512yescomplemented
2029C42—2128no—
2030C42—4128no—
2031C23—2512no—
2032C23—2448no—
2033C23—2448no—
2034C23—2448no—
2035C23—2448no—
2036C23—2448no—
2037C23—2448no—
2038C23—2448no—
2039C23—2224no—
2040C23—2224no—
2041C23—2448no—
2042C23—2448no—
2043C23—2224no—
2044C23—2224no—
2045C23—2448no—
2046C23—28no—
2047C23—216no—
2048C23—216no—
2049C23—216no—
2050C23—28no—
2051C23—216no—
2052C23—216no—
2053C23—216no—
2054C23—216no—
2055C23—216no—
2056C23—216no—
2057C23—216no—
2058C23—216no—
2059C23—216no—
2060C23—216no—
2061C23—216no—
2062C23—216no—
2063C23—216no—
2064C23—216no—
2065C23—216no—
2066C23—216no—
2067C23—216no—
2068C23—28no—
2069C23—216no—
2070C23—28no—
2071C23—216no—
2072C23—216no—
2073C23—216no—
2074C23—216no—
2075C23—216no—
2076C23—216no—
2077C23—216no—
2078C23—216no—
2079C23—4512no—
2080C23—4512no—
2081C23—4512no—
2082C23—4512no—
2083C23—4512no—
2084C23—4224no—
2085C23—4224no—
2086C23—4224no—
2087C23—4224no—
2088C23—4224no—
2089C23—4224no—
2090C23—4224no—
2091C23—4224no—
2092C23—4224no—
2093C23—4224no—
2094C23—4224no—
2095C23—43584no—
2096C23—41792no—
2097C23—43584no—
2098C23—43584no—
2099C23—41792no—
2100C23—4112no—
2101C23—4224no—
2102C23—4112no—
2103C23—4224no—
2104C23—4224no—
2105C23—4224no—
2106C23—4224no—
2107C23—4224no—
2108C23—4224no—
2109C23—4224no—
2110C23—4224no—
2111C23—4224no—
2112C23—4224no—
2113C23—8128no—
2114C23—8256no—
2115C23—8256no—
2116C23—8256no—
2117C23—8256no—
2118C23—8256no—
2119C23—8256no—
2120C23—8256no—
2121C23—8128no—
2122C23—8256no—
2123C23—87168no—
2124C23—814336no—
2125C23—8256no—
2126C23—8256no—
2127C23—8256no—
2128C23—814336no—
2129C23—81792no—
2130C23#478301512yesdirect product factor
2131C23C2×#35321224yes—
2132C23C2×#35341224yes—
2133C23C2×#34841112yes—
2134C23C2×#34841112yes—
2135C23C2×#34881112yes—
2136C23C25×D4132yes—
2137C23C25×D4116yes—
2138C23C25×D4114yes—
2139C23C23×H(5,𝔽2)116yes—
2140C23C23×H(5,𝔽2)132yes—
2141C23C23×H(5,𝔽2)132yes—
2142C23C23×H(5,𝔽2)114yes—
2143C23C23×H(5,𝔽2)128yes—
2144C23C23×H(5,𝔽2)128yes—
2145C23C22×#585114yes—
2146C23C2811yescharacteristic
2147Q8—4256no—
2148D4—2512no—
2149D4—4256no—
2150D4—4512no—
2151D4—4512no—
2152D4—4512no—
2153D4—4256no—
2154D4—4512no—
2155D4—4512no—
2156D4—4512no—
2157D4—4512no—
2158D4—4512no—
2159D4—4512no—
2160D4—4512no—
2161D4—4512no—
2162D4—8128no—
2163D4—8256no—
2164D4—8256no—
2165C2×C4—2224no—
2166C2×C4—2224no—
2167C2×C4—2448no—
2168C2×C4—216no—
2169C2×C4—216no—
2170C2×C4—216no—
2171C2×C4—216no—
2172C2×C4—28no—
2173C2×C4—28no—
2174C2×C4—216no—
2175C2×C4—216no—
2176C2×C4—216no—
2177C2×C4—28no—
2178C2×C4—216no—
2179C2×C4—216no—
2180C2×C4—216no—
2181C2×C4—216no—
2182C2×C4—216no—
2183C2×C4—216no—
2184C2×C4—216no—
2185C2×C4—28no—
2186C2×C4—216no—
2187C2×C4—216no—
2188C2×C4—216no—
2189C2×C4—216no—
2190C2×C4—216no—
2191C2×C4—216no—
2192C2×C4—216no—
2193C2×C4—216no—
2194C2×C4—216no—
2195C2×C4—216no—
2196C2×C4—216no—
2197C2×C4—216no—
2198C2×C4—28no—
2199C2×C4—216no—
2200C2×C4—4256no—
2201C2×C4—4512no—
2202C2×C4—4512no—
2203C2×C4—4256no—
2204C2×C4—4512no—
2205C2×C4—4224no—
2206C2×C4—4224no—
2207C2×C4—4224no—
2208C2×C4—4224no—
2209C2×C4—4224no—
2210C2×C4—4112no—
2211C2×C4—4224no—
2212C2×C4—4112no—
2213C2×C4—4224no—
2214C2×C4—4112no—
2215C2×C4—8256no—
2216C2×C4—8128no—
2217C2×C4C25×D4116yes—
2218C2×C4C25×D4116yes—
2219C2×C4C25×D4132yes—
2220C22—232no—
2221C22—232no—
2222C22—216no—
2223C22—216no—
2224C22—232no—
2225C22—232no—
2226C22—232no—
2227C22—232no—
2228C22—232no—
2229C22—232no—
2230C22—232no—
2231C22—216no—
2232C22—216no—
2233C22—232no—
2234C22—48no—
2235C22—416no—
2236C22—48no—
2237C22—416no—
2238C22—4896no—
2239C22—4448no—
2240C22—4448no—
2241C22—4896no—
2242C22—4896no—
2243C22—416no—
2244C22—416no—
2245C22—416no—
2246C22—416no—
2247C22—416no—
2248C22—416no—
2249C22—416no—
2250C22—416no—
2251C22—416no—
2252C22—416no—
2253C22—416no—
2254C22—416no—
2255C22—416no—
2256C22—416no—
2257C22—416no—
2258C22—416no—
2259C22—416no—
2260C22—416no—
2261C22—416no—
2262C22—416no—
2263C22—8512no—
2264C22—81024no—
2265C22—81024no—
2266C22—8448no—
2267C22C2×#478301448yesdirect product factor
2268C22C22×#3484128yes—
2269C22C22×#3484128yes—
2270C22C22×#3488128yes—
2271C22C22×#3532156yes—
2272C22C22×#3534156yes—
2273C22C26×D411yescharacteristic
2274C22C24×H(5,𝔽2)12yes—
2275C22C24×H(5,𝔽2)12yes—
2276C22C24×H(5,𝔽2)11yescharacteristic
2277C22C23×#58511yescharacteristic
2278C4—216no—
2279C4—216no—
2280C4—232no—
2281C4—416no—
2282C4—48no—
2283C4—416no—
2284C4—48no—
2285C4—416no—
2286C4—416no—
2287C4—416no—
2288C4—416no—
2289C4—416no—
2290C4—48no—
2291C2—432no—
2292C2—416no—
2293C2—432no—
2294C2—432no—
2295C2—416no—
2296C2—816no—
2297C2C23×#348411yescharacteristic
2298C2C23×#348411yescharacteristic
2299C2C22×#47830156yesdirect product factor
2300C2C23×#353212yes—
2301C2C23×#348811yescharacteristic
2302C2C23×#353412yes—
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×#2377C2semidirect
2. C23×#2693C2semidirect
3. C23×#2696C2semidirect
4. C23×#2635C2semidirect
5. C23×#2684C2semidirect
6. C23×#2688C2semidirect
7. C23×#2456C2semidirect
8. C23×#2418C2semidirect
9. C23×#2678C2semidirect
10. C23×#2678C2semidirect
11. C23×#2534C2semidirect
12. C23×#2404C2semidirect
13. C23×#2615C2semidirect
14. C24×#546C2semidirect
15. C24×#534C2semidirect
16. C23×#2410C2semidirect
17. C23×#2408C2semidirect
18. C22×#47830C2direct (N × H)
19. C23×#2403C2semidirect
20. C23×#2403C2semidirect
21. C25×#41C22semidirect
22. C26×D4C22semidirect
23. C26×D4C22semidirect
24. C26×D4C22semidirect
26. C23×#546C22semidirect
28. C23×#534C22semidirect
29. C24×#124C22semidirect
30. C24×#123C22semidirect
31. C24×#123C22semidirect
32. C24×#123C22semidirect
33. C24×#123C22semidirect
34. C24×C22⋊Q8C22semidirect
36. C24×#121C22semidirect
37. C24×#121C22semidirect
38. C24×#121C22semidirect
39. C24×#121C22semidirect
40. C24×#121C22semidirect
44. C24×#120C22semidirect
45. C24×#120C22semidirect
46. C24×#120C22semidirect
47. C24×#120C22semidirect
48. C24×#120C22semidirect
49. C24×C4×D4C22semidirect
50. C24×C4×D4C22semidirect
51. C24×C4×D4C22semidirect
52. C25×C22⋊C4C22semidirect
53. C25×C22⋊C4C22semidirect
54. C2×#47830C22direct (N × H)
55. C22×#2688C22semidirect
56. C22×#2696C22semidirect
57. C22×#2693C22semidirect
58. C22×#2684C22semidirect
59. C22×#2678C22semidirect
60. C22×#2678C22semidirect
61. C22×#2534C22semidirect
62. C22×#2404C22semidirect
63. C22×#2408C22semidirect
64. C22×#2456C22semidirect
65. C22×#2418C22semidirect
66. C22×#2410C22semidirect
67. C22×#2403C22semidirect
68. C22×#2403C22semidirect
69. C22×#2615C22semidirect
70. C22×#2635C22semidirect
71. C23×#400C22semidirect
72. C23×#400C22semidirect
73. C23×#399C22semidirect
74. C23×#397C22semidirect
75. C23×#397C22semidirect
76. C23×#397C22semidirect
77. C23×#396C22semidirect
78. C23×#396C22semidirect
79. C23×#394C22semidirect
80. C23×#394C22semidirect
81. C23×#394C22semidirect
82. C23×#394C22semidirect
83. C23×#394C22semidirect
84. C23×#394C22semidirect
85. C23×#393C22semidirect
86. C23×#393C22semidirect
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. C22×#2377C22semidirect
98. C23×#390C22semidirect
99. C23×#390C22semidirect
100. C23×#390C22semidirect
101. C23×#388C22semidirect
102. C23×#388C22semidirect
103. C23×#388C22semidirect
104. C23×#388C22semidirect
105. C23×#387C22semidirect
106. C23×#386C22semidirect
107. C23×#386C22semidirect
108. C23×#386C22semidirect
109. C23×#386C22semidirect
110. C23×#386C22semidirect
111. C23×#386C22semidirect
112. C23×#386C22semidirect
113. C23×#386C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#386C22semidirect
117. C23×#386C22semidirect
118. C23×#386C22semidirect
119. C23×#385C22semidirect
120. C23×#385C22semidirect
121. C23×#381C22semidirect
122. C23×#381C22semidirect
123. C23×#380C22semidirect
124. C23×#380C22semidirect
125. C23×#380C22semidirect
126. C23×#379C22semidirect
127. C23×#379C22semidirect
128. C23×#379C22semidirect
129. C23×#379C22semidirect
135. C24×#41C23semidirect
162. C25×D4C23semidirect
163. C25×D4C23semidirect
164. C25×D4C23semidirect
173. C22×#546C23semidirect
175. C22×#534C23semidirect
177. C23×#124C23semidirect
182. C23×#123C23semidirect
183. C23×#123C23semidirect
184. C23×#123C23semidirect
185. C23×#123C23semidirect
187. C23×C22⋊Q8C23semidirect
193. C23×#121D4semidirect
195. C23×#121C23semidirect
196. C23×#121C23semidirect
197. C23×#121C23semidirect
198. C23×#121C23semidirect
199. C23×#121C23semidirect
211. C23×#120C23semidirect
212. C23×#120C23semidirect
213. C23×#120C23semidirect
214. C23×#120C23semidirect
215. C23×#120C23semidirect
219. C23×C4×D4C23semidirect
220. C23×C4×D4C23semidirect
221. C23×C4×D4C23semidirect
267. C24×C22⋊C4C23semidirect
268. C24×C22⋊C4C23semidirect
271. C2×#2696C23semidirect
272. C2×#2693C23semidirect
273. C2×#2688C23semidirect
274. C2×#2684C23semidirect
275. C2×#2678C23semidirect
276. C2×#2678C23semidirect
277. #47830C23direct (N × H)
278. C2×#2534C23semidirect
279. C2×#2404C23semidirect
280. C2×#2408C23semidirect
281. C2×#2456C23semidirect
282. C2×#2418C23semidirect
283. C2×#2410C23semidirect
284. C2×#2403C23semidirect
285. C2×#2403C23semidirect
286. C2×#2615C23semidirect
287. C2×#2635C23semidirect
288. C22×#400C23semidirect
289. C22×#400C23semidirect
290. C22×#399C23semidirect
291. C22×#397C23semidirect
292. C22×#397C23semidirect
293. C22×#397C23semidirect
294. C22×#396C23semidirect
295. C22×#396C23semidirect
296. C22×#394C23semidirect
297. C22×#394C23semidirect
298. C22×#394C23semidirect
299. C22×#394C23semidirect
300. C22×#394C23semidirect
301. C22×#394C23semidirect
302. C22×#393C23semidirect
303. C22×#393C23semidirect
306. C22×#392C23semidirect
307. C22×#392C23semidirect
308. C22×#392C23semidirect
309. C22×#392C23semidirect
310. C22×#392C23semidirect
311. C22×#392C23semidirect
312. C22×#392C23semidirect
313. C22×#392C23semidirect
314. C2×#2377C23semidirect
315. C22×#390C23semidirect
316. C22×#390C23semidirect
317. C22×#390C23semidirect
318. C22×#388C23semidirect
319. C22×#388C23semidirect
320. C22×#388C23semidirect
321. C22×#388C23semidirect
322. C22×#387C23semidirect
323. C22×#386C23semidirect
324. C22×#386C23semidirect
325. C22×#386C23semidirect
326. C22×#386C23semidirect
327. C22×#386C23semidirect
328. C22×#386C23semidirect
329. C22×#386C23semidirect
330. C22×#386C23semidirect
331. C22×#386C23semidirect
332. C22×#386C23semidirect
333. C22×#386C23semidirect
334. C22×#386C23semidirect
335. C22×#386C23semidirect
336. C22×#385C23semidirect
337. C22×#385C23semidirect
338. C22×#381C23semidirect
339. C22×#381C23semidirect
340. C22×#380C23semidirect
341. C22×#380C23semidirect
342. C22×#380C23semidirect
343. C22×#379C23semidirect
344. C22×#379C23semidirect
345. C22×#379C23semidirect
346. C22×#379C23semidirect
392. C23×#41C24semidirect
454. C24×D4C2×D4semidirect
472. C24×D4C24semidirect
473. C24×D4C24semidirect
474. C24×D4C24semidirect
493. C25×C4C2×D4semidirect
515. C2×#546C24semidirect
517. C2×#534C24semidirect
519. C22×#124C24semidirect
524. C22×#123C24semidirect
525. C22×#123C24semidirect
526. C22×#123C24semidirect
527. C22×#123C24semidirect
529. C22×C22⋊Q8C24semidirect
535. C22×#121C2×D4semidirect
537. C22×#121C24semidirect
538. C22×#121C24semidirect
539. C22×#121C24semidirect
540. C22×#121C24semidirect
541. C22×#121C24semidirect
553. C22×#120C24semidirect
554. C22×#120C24semidirect
555. C22×#120C24semidirect
556. C22×#120C24semidirect
557. C22×#120C24semidirect
561. C22×C4×D4C24semidirect
562. C22×C4×D4C24semidirect
563. C22×C4×D4C24semidirect
572. C23×C4⋊C4C2×D4semidirect
617. C23×C22⋊C4C2×D4semidirect
652. C23×C22⋊C4C24semidirect
653. C23×C22⋊C4C24semidirect
658. #2696C24semidirect
659. #2693C24semidirect
660. #2688C24semidirect
661. #2684C24semidirect
662. #2678C24semidirect
663. #2678C24semidirect
664. #2635C24semidirect
665. #2615C24semidirect
666. #2534C24semidirect
667. #2456C24semidirect
668. #2418C24semidirect
669. #2410C24semidirect
670. #2408C24semidirect
671. #2404C24semidirect
672. #2403C24semidirect
673. #2403C24semidirect
674. C2×#400C24semidirect
675. C2×#400C24semidirect
676. C2×#399C24semidirect
677. C2×#397C24semidirect
678. C2×#397C24semidirect
679. C2×#397C24semidirect
680. C2×#396C24semidirect
681. C2×#396C24semidirect
682. C2×#394C24semidirect
683. C2×#394C24semidirect
684. C2×#394C24semidirect
685. C2×#394C24semidirect
686. C2×#394C24semidirect
687. C2×#394C24semidirect
688. C2×#393C24semidirect
689. C2×#393C24semidirect
692. C2×#392C24semidirect
693. C2×#392C24semidirect
694. C2×#392C24semidirect
695. C2×#392C24semidirect
696. C2×#392C24semidirect
697. C2×#392C24semidirect
698. C2×#392C24semidirect
699. C2×#392C24semidirect
700. #2377C24semidirect
701. C2×#390C24semidirect
702. C2×#390C24semidirect
703. C2×#390C24semidirect
704. C2×#388C24semidirect
705. C2×#388C24semidirect
706. C2×#388C24semidirect
707. C2×#388C24semidirect
708. C2×#387C24semidirect
709. C2×#386C24semidirect
710. C2×#386C24semidirect
711. C2×#386C24semidirect
712. C2×#386C24semidirect
713. C2×#386C24semidirect
714. C2×#386C24semidirect
715. C2×#386C24semidirect
716. C2×#386C24semidirect
717. C2×#386C24semidirect
718. C2×#386C24semidirect
719. C2×#386C24semidirect
720. C2×#386C24semidirect
721. C2×#386C24semidirect
722. C2×#385C24semidirect
723. C2×#385C24semidirect
724. C2×#381C24semidirect
725. C2×#381C24semidirect
726. C2×#380C24semidirect
727. C2×#380C24semidirect
728. C2×#380C24semidirect
729. C2×#379C24semidirect
730. C2×#379C24semidirect
731. C2×#379C24semidirect
732. C2×#379C24semidirect
836. C22×#41C25semidirect
916. C23×D4C22×D4semidirect
934. C23×D4C25semidirect
935. C23×D4C25semidirect
936. C23×D4C25semidirect
997. C24×C4C22×D4semidirect
1021. C2×#124C25semidirect
1026. C2×#123C25semidirect
1027. C2×#123C25semidirect
1028. C2×#123C25semidirect
1029. C2×#123C25semidirect
1031. C2×C22⋊Q8C25semidirect
1037. C2×#121C22×D4semidirect
1039. C2×#121C25semidirect
1040. C2×#121C25semidirect
1041. C2×#121C25semidirect
1042. C2×#121C25semidirect
1043. C2×#121C25semidirect
1055. C2×#120C25semidirect
1056. C2×#120C25semidirect
1057. C2×#120C25semidirect
1058. C2×#120C25semidirect
1059. C2×#120C25semidirect
1063. C2×C4×D4C25semidirect
1064. C2×C4×D4C25semidirect
1065. C2×C4×D4C25semidirect
1074. C22×C4⋊C4C22×D4semidirect
1119. C22×C22⋊C4C22×D4semidirect
1154. C22×C22⋊C4C25semidirect
1155. C22×C22⋊C4C25semidirect
1160. #400C25semidirect
1161. #400C25semidirect
1162. #399C25semidirect
1163. #397C25semidirect
1164. #397C25semidirect
1165. #397C25semidirect
1166. #396C25semidirect
1167. #396C25semidirect
1168. #394C25semidirect
1169. #394C25semidirect
1170. #394C25semidirect
1171. #394C25semidirect
1172. #394C25semidirect
1173. #394C25semidirect
1174. #393C25semidirect
1175. #393C25semidirect
1178. #392C25semidirect
1179. #392C25semidirect
1180. #392C25semidirect
1181. #392C25semidirect
1182. #392C25semidirect
1183. #392C25semidirect
1184. #392C25semidirect
1185. #392C25semidirect
1186. #390C25semidirect
1187. #390C25semidirect
1188. #390C25semidirect
1189. #388C25semidirect
1190. #388C25semidirect
1191. #388C25semidirect
1192. #388C25semidirect
1193. #387C25semidirect
1194. #386C25semidirect
1195. #386C25semidirect
1196. #386C25semidirect
1197. #386C25semidirect
1198. #386C25semidirect
1199. #386C25semidirect
1200. #386C25semidirect
1201. #386C25semidirect
1202. #386C25semidirect
1203. #386C25semidirect
1204. #386C25semidirect
1205. #386C25semidirect
1206. #386C25semidirect
1207. #385C25semidirect
1208. #385C25semidirect
1209. #381C25semidirect
1210. #381C25semidirect
1211. #380C25semidirect
1212. #380C25semidirect
1213. #380C25semidirect
1214. #379C25semidirect
1215. #379C25semidirect
1216. #379C25semidirect
1217. #379C25semidirect
1446. C22×D4C23×D4semidirect
1537. C23×C4C23×D4semidirect
1569. #121C23×D4semidirect
1589. C2×C4⋊C4C23×D4semidirect
1634. C2×C22⋊C4C23×D4semidirect
1898. C2×D4C24×D4semidirect
1972. C22×C4C24×D4semidirect
1994. C4⋊C4C24×D4semidirect
2028. C22⋊C4C24×D4semidirect
2130. C23#47830direct (N × H)
2267. C22C2×#47830direct (N × H)
2299. C2C22×#47830direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#23772
C23×#26932
C23×#26962
C23×#26352
C23×#26842
C23×#26882
C23×#24562
C23×#24182
C23×#26782
C23×#25342
C23×#24042
C23×#26152
C24×#5462
C24×#5342
C23×#24102
C23×#24082
C22×#478302
C23×#24032