Finite Group Databasebeta

← C23×#40584 #72300223

Subgroups — C23×#40584 #72300223

Order 2048.

2019080 conjugacy classes of subgroups.

The subgroup lattice has 2400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2812C211yesmaximal, characteristic, complemented
2C23×#2600C211yesmaximal, characteristic, complemented
3C23×#2635C212yesmaximal, complemented
4C23×#2444C212yesmaximal, complemented
5C23×#2815C211yesmaximal, characteristic, complemented
6C23×#2688C212yesmaximal, complemented
7C23×#2418C212yesmaximal, complemented
8C23×#2673C212yesmaximal, complemented
9C23×#2617C211yesmaximal, characteristic, complemented
10C23×#2308C211yesmaximal, characteristic, complemented
11C22×#40584C21224yesmaximal, direct product factor
12C23×#2613C212yesmaximal, complemented
13C23×#2669C212yesmaximal, complemented
14C23×#2410C212yesmaximal, complemented
15C23×#2410C212yesmaximal, complemented
16C23×#2668C212yesmaximal, complemented
17C24×#392C211yesmaximal, characteristic, complemented
18C23×#2403C212yesmaximal, complemented
19C23×#2403C211yesmaximal, characteristic, complemented
20C24×D42C212yesmaximal, complemented
21C26×D4C2211yescharacteristic
22C26×D4C2212yescomplemented
23C26×D4C2212yescomplemented
24C26×D4C2212yescomplemented
25C26×D4C2211yescharacteristic, complemented
26C23×D42—2128no—
27C23×D42C221224yescomplemented
28C24×#127C2212yescomplemented
29C24×#123C2212yescomplemented
30C24×#121C2212yes—
31C24×#121C2212yescomplemented
32C24×#121C2212yescomplemented
33C24×#121C2212yescomplemented
34C24×#121C2211yescharacteristic, complemented
35C24×#121C2212yescomplemented
36C24×#121C2212yescomplemented
37C24×#120C2212yes—
38C24×#120C2212yescomplemented
39C24×#120C2212yescomplemented
40C24×#120C2212yescomplemented
41C24×#120C2212yescomplemented
42C24×#120C2212yescomplemented
43C24×#120C2212yescomplemented
44C24×#120C2212yescomplemented
45C24×C4×D4C2212yescomplemented
46C24×C4×D4C2212yescomplemented
47C25×C22⋊C4C2211yescharacteristic, complemented
48C25×C22⋊C4C2211yescharacteristic, complemented
49C25×C22⋊C4C2212yescomplemented
50C2×#40584C2217168yesdirect product factor
51C22×#2673C221224yescomplemented
52C22×#2669C221224yescomplemented
53C22×#2688C221224yescomplemented
54C22×#2668C221224yescomplemented
55C22×#2815C221112yescomplemented
56C22×#2812C221112yescomplemented
57C22×#2600C221112yescomplemented
58C22×#2444C221224yescomplemented
59C22×#2418C221224yescomplemented
60C22×#2410C221224yescomplemented
61C22×#2410C221224yescomplemented
62C22×#2403C221224yescomplemented
63C22×#2403C221112yescomplemented
64C22×#2635C221224yescomplemented
65C22×#2617C221112yescomplemented
66C22×#2613C221224yescomplemented
67C23×#400C2212yescomplemented
68C23×#399C2212yescomplemented
69C23×#397C2211yescharacteristic, complemented
70C23×#397C2211yescharacteristic, complemented
71C23×#397C2212yescomplemented
72C23×#397C2212yescomplemented
73C23×#397C2212yescomplemented
74C23×#394C2212yescomplemented
75C23×#394C2212yescomplemented
76C23×#394C2212yescomplemented
77C23×#394C2212yescomplemented
78C23×#394C2212yescomplemented
79C23×#394C2212yescomplemented
80C23×#394C2212yescomplemented
81C23×#394C2212yescomplemented
82C23×#394C2212yescomplemented
83C23×#392C2211yescharacteristic
84C23×#392C2212yescomplemented
85C23×#392C2212yescomplemented
86C23×#392C2212yescomplemented
87C23×#392C2212yescomplemented
88C23×#392C2211yescharacteristic, complemented
89C23×#392C2212yescomplemented
90C23×#392C2212yescomplemented
91C23×#392C2212yescomplemented
92C23×#392C2212yescomplemented
93C23×#392C2211yescharacteristic, complemented
94C23×#392C2212yescomplemented
95C23×#392C2211yescharacteristic, complemented
96C23×#392C2211yescharacteristic, complemented
97C23×#392C2211yescharacteristic, complemented
98C23×#392C2212yescomplemented
99C23×#392C221112yescomplemented
100C22×#2308C221112yescomplemented
101C23×#388C2212yescomplemented
102C23×#388C2212yescomplemented
103C23×#388C2212yescomplemented
104C23×#387C2212yescomplemented
105C23×#386C2212yescomplemented
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×#385C2212yescomplemented
119C23×#385C2212yescomplemented
120C23×#381C2212yescomplemented
121C23×#381C2211yescharacteristic, complemented
122C23×#381C2211yescharacteristic, complemented
123C23×#380C2211yescharacteristic, complemented
124C23×#379C2211yescharacteristic, complemented
125C23×#379C2212yescomplemented
126C23×#379C2211yescharacteristic, complemented
127C23×#379C2212yescomplemented
128C24×#95C2211yescharacteristic, complemented
129C28C2312yes—
130C28C2312yes—
131C28C2311yescharacteristic
132C28C2311yescharacteristic
133C25×D4—264no—
134C25×D4—264no—
135C25×D4—264no—
136C25×D4—432no—
137C25×D4—432no—
138C25×D4—416no—
139C25×D4—416no—
140C25×D4—416no—
141C25×D4—432no—
142C25×D4—432no—
143C25×D4—432no—
144C25×D4—432no—
145C25×D4—432no—
146C25×D4D4164yescomplemented
147C25×D4C2312yes—
148C25×D4C2312yes—
149C25×D4C2311yescharacteristic
150C25×D4C2312yes—
151C25×D4C2312yes—
152C25×D4C2312yes—
153C25×D4C2312yes—
154C25×D4C2312yes—
155C25×D4C2312yes—
156C25×D4C2312yes—
157C25×D4C2312yes—
158C25×D4C2312yes—
159C25×D4C2312yes—
160C25×D4C2312yes—
161C25×D4C2312yes—
162C25×D4C2312yes—
163C25×D4C2312yes—
164C25×D4C2311yescharacteristic
165C25×D4C2311yescharacteristic
166C25×D4C2312yes—
167C25×D4C23156yes—
168C25×D4C231112yescomplemented
169C25×D4C231112yescomplemented
170C25×D4C231112yescomplemented
171C25×D4C23156yescomplemented
172C26×C4C2312yes—
173C26×C4C2312yes—
174C26×C4C2311yescharacteristic
175C26×C4C2311yescharacteristic
176C26×C4C2312yes—
177C26×C4C2312yes—
178C26×C4C2311yescharacteristic
179C22×D42—27168no—
180C22×D42C2313584yescomplemented
181C23×#127—264no—
182C23×#127C231112yescomplemented
183C23×#123—432no—
184C23×#123C231112yescomplemented
185C23×#121—264no—
186C23×#121—264no—
187C23×#121—264no—
188C23×#121—264no—
189C23×#121—416no—
190C23×#121—432no—
191C23×#121—432no—
192C23×#121C231112yes—
193C23×#121C231112yescomplemented
194C23×#121C231112yescomplemented
195C23×#121C231112yescomplemented
196C23×#121C231112yescomplemented
197C23×#121C231112yescomplemented
198C23×#121C23156yescomplemented
199C23×#120—264no—
200C23×#120—264no—
201C23×#120—264no—
202C23×#120—264no—
203C23×#120—432no—
204C23×#120—432no—
205C23×#120—432no—
206C23×#120—432no—
207C23×#120C231112yes—
208C23×#120C231112yescomplemented
209C23×#120C231112yescomplemented
210C23×#120C231112yescomplemented
211C23×#120C231112yescomplemented
212C23×#120C231112yescomplemented
213C23×#120C231112yescomplemented
214C23×#120C231112yescomplemented
215C23×C4×D4—264no—
216C23×C4×D4—264no—
217C23×C4×D4C231112yescomplemented
218C23×C4×D4C231112yescomplemented
219C24×C4⋊C4C2312yes—
220C24×C4⋊C4C2312yes—
221C24×C4⋊C4C2312yes—
222C24×C4⋊C4C2312yes—
223C24×C4⋊C4C2311yescharacteristic
224C24×C4⋊C4C2312yes—
225C24×C22⋊C4—416no—
226C24×C22⋊C4—432no—
227C24×C22⋊C4—416no—
228C24×C22⋊C4C2312yes—
229C24×C22⋊C4C2312yes—
230C24×C22⋊C4C2312yes—
231C24×C22⋊C4C2312yes—
232C24×C22⋊C4C2312yes—
233C24×C22⋊C4C2312yes—
234C24×C22⋊C4C2312yes—
235C24×C22⋊C4C2312yes—
236C24×C22⋊C4C2312yes—
237C24×C22⋊C4C2312yes—
238C24×C22⋊C4C2312yes—
239C24×C22⋊C4C2312yes—
240C24×C22⋊C4C2312yes—
241C24×C22⋊C4C2312yes—
242C24×C22⋊C4C2311yescharacteristic
243C24×C22⋊C4C2311yescharacteristic
244C24×C22⋊C4C2311yescharacteristic
245C24×C22⋊C4C2311yescharacteristic
246C24×C22⋊C4C2312yes—
247C24×C22⋊C4C2312yes—
248C24×C22⋊C4C2312yes—
249C24×C22⋊C4C2312yes—
250C24×C22⋊C4C2312yes—
251C24×C22⋊C4C2312yes—
252C24×C22⋊C4C2312yes—
253C24×C22⋊C4C2312yes—
254C24×C22⋊C4C2312yes—
255C24×C22⋊C4C2312yes—
256C24×C22⋊C4C2311yescharacteristic
257C24×C22⋊C4C2311yescharacteristic
258C24×C22⋊C4C2312yes—
259C24×C22⋊C4C2312yes—
260C24×C22⋊C4C2312yes—
261C24×C22⋊C4C2312yes—
262C24×C22⋊C4C23156yescomplemented
263C24×C22⋊C4C231112yescomplemented
264C24×C22⋊C4C23156yescomplemented
265C24×C42C2312yes—
266C2×#2688C2313584yescomplemented
267C2×#2673C2313584yescomplemented
268C2×#2669C2313584yescomplemented
269C2×#2668C2313584yescomplemented
270#40584C23132768yesdirect product factor
271C2×#2815C2311792yescomplemented
272C2×#2812C2311792yescomplemented
273C2×#2600C2311792yescomplemented
274C2×#2444C2313584yescomplemented
275C2×#2418C2313584yescomplemented
276C2×#2410C2313584yescomplemented
277C2×#2410C2313584yescomplemented
278C2×#2403C2311792yescomplemented
279C2×#2403C2313584yescomplemented
280C2×#2635C2313584yescomplemented
281C2×#2617C2311792yescomplemented
282C2×#2613C2313584yescomplemented
283C22×#400C231112yescomplemented
284C22×#399C231112yescomplemented
285C22×#397C231112yescomplemented
286C22×#397C231112yescomplemented
287C22×#397C23156yescomplemented
288C22×#397C231112yescomplemented
289C22×#397C23156yescomplemented
290C22×#394C231112yescomplemented
291C22×#394C231112yescomplemented
292C22×#394C231112yescomplemented
293C22×#394C231112yescomplemented
294C22×#394C231112yescomplemented
295C22×#394C231112yescomplemented
296C22×#394C231112yescomplemented
297C22×#394C231112yescomplemented
298C22×#394C231112yescomplemented
299C22×#392C23156yes—
300C22×#392C23156yescomplemented
301C22×#392C231112yescomplemented
302C22×#392C231112yescomplemented
303C22×#392C23156yescomplemented
304C22×#392C231112yescomplemented
305C22×#392C231112yescomplemented
306C22×#392C23156yescomplemented
307C22×#392C231112yescomplemented
308C22×#392C231112yescomplemented
309C22×#392C231112yescomplemented
310C22×#392C231112yescomplemented
311C22×#392C23156yescomplemented
312C22×#392C231112yescomplemented
313C22×#392C231112yescomplemented
314C22×#392C23156yescomplemented
315C22×#392C2311792yescomplemented
316C2×#2308C2311792yescomplemented
317C22×#388C231112yescomplemented
318C22×#388C231112yescomplemented
319C22×#388C231112yescomplemented
320C22×#387C231112yescomplemented
321C22×#386C231112yescomplemented
322C22×#386C231112yescomplemented
323C22×#386C231112yescomplemented
324C22×#386C231112yescomplemented
325C22×#386C231112yescomplemented
326C22×#386C231112yescomplemented
327C22×#386C231112yescomplemented
328C22×#386C231112yescomplemented
329C22×#386C231112yescomplemented
330C22×#386C231112yescomplemented
331C22×#386C231112yescomplemented
332C22×#386C231112yescomplemented
333C22×#386C231112yescomplemented
334C22×#385C231112yescomplemented
335C22×#385C231112yescomplemented
336C22×#381C231112yescomplemented
337C22×#381C23156yescomplemented
338C22×#381C23156yescomplemented
339C22×#380C23156yescomplemented
340C22×#379C231112yescomplemented
341C22×#379C231112yescomplemented
342C22×#379C23156yescomplemented
343C22×#379C23156yescomplemented
344C23×#95C2311yescharacteristic
345C23×#95C2311yescharacteristic
346C23×#95C2312yes—
347C23×#95C2312yes—
348C23×#95C2312yes—
349C23×#95C2312yes—
350C23×#95C2312yes—
351C23×#95C2312yes—
352C23×#95C2312yes—
353C23×#95C2312yes—
354C23×#95C2312yes—
355C23×#95C2312yes—
356C23×#95C2311yescharacteristic
357C23×#95C2312yes—
358C23×#95C2311yescharacteristic
359C23×#95C23156yescomplemented
360C27—216no—
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—416no—
375C27—416no—
376C27—416no—
377C27—48no—
378C27—48no—
379C27—416no—
380C27—416no—
381C27—416no—
382C27C2×D4132yes—
383C27C2×D4132yescomplemented
384C27C2412yes—
385C27C2412yes—
386C27C2411yescharacteristic
387C27C2412yes—
388C27C2411yescharacteristic
389C27C2412yes—
390C27C24156yes—
391C27C2411yescharacteristic
392C27C24156yes—
393C27C24128yes—
394C27C24128yes—
395C24×D4—232no—
396C24×D4—232no—
397C24×D4—232no—
398C24×D4—232no—
399C24×D4—232no—
400C24×D4—232no—
401C24×D4—232no—
402C24×D4—232no—
403C24×D4—232no—
404C24×D4—232no—
405C24×D4—232no—
406C24×D4—232no—
407C24×D4—21792no—
408C24×D4—21792no—
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—232no—
418C24×D4—21792no—
419C24×D4—232no—
420C24×D4—232no—
421C24×D4—232no—
422C24×D4—232no—
423C24×D4—4896no—
424C24×D4—4896no—
425C24×D4—416no—
426C24×D4—416no—
427C24×D4—416no—
428C24×D4—416no—
429C24×D4—416no—
430C24×D4—416no—
431C24×D4—416no—
432C24×D4—48no—
433C24×D4—416no—
434C24×D4—416no—
435C24×D4—48no—
436C24×D4—416no—
437C24×D4—416no—
438C24×D4—416no—
439C24×D4—416no—
440C24×D4—416no—
441C24×D4—416no—
442C24×D4—416no—
443C24×D4—416no—
444C24×D4—4448no—
445C24×D4—416no—
446C24×D4—416no—
447C24×D4—416no—
448C24×D4—416no—
449C24×D4—416no—
450C24×D4—416no—
451C24×D4—48no—
452C24×D4—416no—
453C24×D4—416no—
454C24×D4—416no—
455C24×D4—416no—
456C24×D4—41024no—
457C24×D4—4448no—
458C24×D4—4448no—
459C24×D4—4896no—
460C24×D4—4896no—
461C24×D4—4896no—
462C24×D4—4896no—
463C24×D4—4896no—
464C24×D4—42048no—
465C24×D4—42048no—
466C24×D4—42048no—
467C24×D4—41024no—
468C24×D4C2×D4164yes—
469C24×D4C2×D4164yescomplemented
470C24×D4C2×D411792yescomplemented
471C24×D4C24156yes—
472C24×D4C24156yes—
473C24×D4C24156yes—
474C24×D4C24128yes—
475C24×D4C24156yes—
476C24×D4C24156yes—
477C24×D4C24156yes—
478C24×D4C24156yes—
479C24×D4C24156yes—
480C24×D4C24156yes—
481C24×D4C24156yes—
482C24×D4C24156yes—
483C24×D4C24156yes—
484C24×D4C24156yes—
485C24×D4C24156yes—
486C24×D4C24156yes—
487C24×D4C24128yes—
488C24×D4C24128yes—
489C24×D4C24156yes—
490C24×D4C24156yes—
491C24×D4C241448yes—
492C24×D4C241896yescomplemented
493C24×D4C241896yescomplemented
494C24×D4C241896yescomplemented
495C24×D4C241448yescomplemented
496C25×C4—232no—
497C25×C4—232no—
498C25×C4—216no—
499C25×C4—216no—
500C25×C4—232no—
501C25×C4—232no—
502C25×C4—232no—
503C25×C4—48no—
504C25×C4—48no—
505C25×C4—416no—
506C25×C4—416no—
507C25×C4—416no—
508C25×C4—416no—
509C25×C4—416no—
510C25×C4—416no—
511C25×C4—416no—
512C25×C4—416no—
513C25×C4—416no—
514C25×C4C2×D4132yescomplemented
515C25×C4C2412yes—
516C25×C4C2412yes—
517C25×C4C2412yes—
518C25×C4C2411yescharacteristic
519C25×C4C2411yescharacteristic
520C25×C4C2411yescharacteristic
521C25×C4C2412yes—
522C25×C4C2412yes—
523C25×C4C2411yescharacteristic
524C25×C4C2412yes—
525C25×C4C24156yes—
526C25×C4C24156yes—
527C25×C4C2412yes—
528C25×C4C2412yes—
529C25×C4C24128yes—
530C25×C4C24156yes—
531C25×C4C24128yes—
532C25×C4C24156yes—
533C25×C4C24128yes—
534C2×D42—257344no—
535C2×D42C2418192yescomplemented
536C22×#127—21792no—
537C22×#127C241896yescomplemented
538C22×#123—4896no—
539C22×#123C241896yescomplemented
540C22×#121—21792no—
541C22×#121—21792no—
542C22×#121—21792no—
543C22×#121—21792no—
544C22×#121—4896no—
545C22×#121—4896no—
546C22×#121—4448no—
547C22×#121C241896yes—
548C22×#121C241896yescomplemented
549C22×#121C241896yescomplemented
550C22×#121C241896yescomplemented
551C22×#121C241448yescomplemented
552C22×#121C241896yescomplemented
553C22×#121C241896yescomplemented
554C22×#120—21792no—
555C22×#120—21792no—
556C22×#120—21792no—
557C22×#120—21792no—
558C22×#120—4896no—
559C22×#120—4896no—
560C22×#120—4896no—
561C22×#120—4896no—
562C22×#120C241896yes—
563C22×#120C241896yescomplemented
564C22×#120C241896yescomplemented
565C22×#120C241896yescomplemented
566C22×#120C241896yescomplemented
567C22×#120C241896yescomplemented
568C22×#120C241896yescomplemented
569C22×#120C241896yescomplemented
570C22×C4×D4—21792no—
571C22×C4×D4—21792no—
572C22×C4×D4C241896yescomplemented
573C22×C4×D4C241896yescomplemented
574C23×C4⋊C4—232no—
575C23×C4⋊C4—232no—
576C23×C4⋊C4—232no—
577C23×C4⋊C4—48no—
578C23×C4⋊C4—416no—
579C23×C4⋊C4—416no—
580C23×C4⋊C4C24156yes—
581C23×C4⋊C4C24156yes—
582C23×C4⋊C4C24156yes—
583C23×C4⋊C4C24128yes—
584C23×C4⋊C4C24156yes—
585C23×C4⋊C4C24156yes—
586C23×C22⋊C4—232no—
587C23×C22⋊C4—232no—
588C23×C22⋊C4—232no—
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—232no—
596C23×C22⋊C4—232no—
597C23×C22⋊C4—232no—
598C23×C22⋊C4—232no—
599C23×C22⋊C4—4896no—
600C23×C22⋊C4—4448no—
601C23×C22⋊C4—48no—
602C23×C22⋊C4—48no—
603C23×C22⋊C4—48no—
604C23×C22⋊C4—48no—
605C23×C22⋊C4—416no—
606C23×C22⋊C4—416no—
607C23×C22⋊C4—48no—
608C23×C22⋊C4—48no—
609C23×C22⋊C4—4448no—
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—416no—
617C23×C22⋊C4—416no—
618C23×C22⋊C4—416no—
619C23×C22⋊C4—416no—
620C23×C22⋊C4—416no—
621C23×C22⋊C4—416no—
622C23×C22⋊C4—416no—
623C23×C22⋊C4C24156yes—
624C23×C22⋊C4C24156yes—
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⋊C4C24156yes—
636C23×C22⋊C4C24128yes—
637C23×C22⋊C4C24128yes—
638C23×C22⋊C4C24128yes—
639C23×C22⋊C4C24128yes—
640C23×C22⋊C4C24156yes—
641C23×C22⋊C4C24128yes—
642C23×C22⋊C4C24128yes—
643C23×C22⋊C4C24156yes—
644C23×C22⋊C4C24156yes—
645C23×C22⋊C4C24156yes—
646C23×C22⋊C4C24156yes—
647C23×C22⋊C4C24156yes—
648C23×C22⋊C4C24156yes—
649C23×C22⋊C4C24156yes—
650C23×C22⋊C4C24156yes—
651C23×C22⋊C4C24156yes—
652C23×C22⋊C4C24156yes—
653C23×C22⋊C4C24156yes—
654C23×C22⋊C4C24156yes—
655C23×C22⋊C4C24156yes—
656C23×C22⋊C4C24156yes—
657C23×C22⋊C4C241448yescomplemented
658C23×C22⋊C4C241896yescomplemented
659C23×C22⋊C4C241448yescomplemented
660C23×C42—232no—
661C23×C42C24156yes—
662#2815C2414096yescomplemented
663#2812C2414096yescomplemented
664#2688C2418192yescomplemented
665#2673C2418192yescomplemented
666#2669C2418192yescomplemented
667#2668C2418192yescomplemented
668#2635C2418192yescomplemented
669#2617C2414096yescomplemented
670#2613C2418192yescomplemented
671#2600C2414096yescomplemented
672#2444C2418192yescomplemented
673#2418C2418192yescomplemented
674#2410C2418192yescomplemented
675#2410C2418192yescomplemented
676#2403C2418192yescomplemented
677#2403C2414096yescomplemented
678C2×#400C241896yescomplemented
679C2×#399C241896yescomplemented
680C2×#397C241448yescomplemented
681C2×#397C241896yescomplemented
682C2×#397C241896yescomplemented
683C2×#397C241896yescomplemented
684C2×#397C241448yescomplemented
685C2×#394C241896yescomplemented
686C2×#394C241896yescomplemented
687C2×#394C241896yescomplemented
688C2×#394C241896yescomplemented
689C2×#394C241896yescomplemented
690C2×#394C241896yescomplemented
691C2×#394C241896yescomplemented
692C2×#394C241896yescomplemented
693C2×#394C241896yescomplemented
694C2×#392C241448yes—
695C2×#392C241896yescomplemented
696C2×#392C241896yescomplemented
697C2×#392C241896yescomplemented
698C2×#392C241448yescomplemented
699C2×#392C241896yescomplemented
700C2×#392C241896yescomplemented
701C2×#392C241448yescomplemented
702C2×#392C241896yescomplemented
703C2×#392C241896yescomplemented
704C2×#392C241896yescomplemented
705C2×#392C241896yescomplemented
706C2×#392C241448yescomplemented
707C2×#392C241448yescomplemented
708C2×#392C241896yescomplemented
709C2×#392C241448yescomplemented
710C2×#392C2414096yescomplemented
711#2308C2414096yescomplemented
712C2×#388C241896yescomplemented
713C2×#388C241896yescomplemented
714C2×#388C241896yescomplemented
715C2×#387C241896yescomplemented
716C2×#386C241896yescomplemented
717C2×#386C241896yescomplemented
718C2×#386C241896yescomplemented
719C2×#386C241896yescomplemented
720C2×#386C241896yescomplemented
721C2×#386C241896yescomplemented
722C2×#386C241896yescomplemented
723C2×#386C241896yescomplemented
724C2×#386C241896yescomplemented
725C2×#386C241896yescomplemented
726C2×#386C241896yescomplemented
727C2×#386C241896yescomplemented
728C2×#386C241896yescomplemented
729C2×#385C241896yescomplemented
730C2×#385C241896yescomplemented
731C2×#381C241448yescomplemented
732C2×#381C241448yescomplemented
733C2×#381C241896yescomplemented
734C2×#380C241448yescomplemented
735C2×#379C241448yescomplemented
736C2×#379C241896yescomplemented
737C2×#379C241896yescomplemented
738C2×#379C241448yescomplemented
739C22×#95C24156yes—
740C22×#95C24128yes—
741C22×#95C24128yes—
742C22×#95C24128yes—
743C22×#95C24128yes—
744C22×#95C24156yes—
745C22×#95C24156yes—
746C22×#95C24156yes—
747C22×#95C24156yes—
748C22×#95C24156yes—
749C22×#95C24156yes—
750C22×#95C24156yes—
751C22×#95C24156yes—
752C22×#95C24156yes—
753C22×#95C24156yes—
754C22×#95C241448yescomplemented
755C26—216no—
756C26—216no—
757C26—216no—
758C26—216no—
759C26—28no—
760C26—216no—
761C26—216no—
762C26—216no—
763C26—216no—
764C26—216no—
765C26—28no—
766C26—28no—
767C26—216no—
768C26—216no—
769C26—216no—
770C26—216no—
771C26—216no—
772C26—216no—
773C26—216no—
774C26—216no—
775C26—28no—
776C26—216no—
777C26—2512no—
778C26—2224no—
779C26—2224no—
780C26—216no—
781C26—216no—
782C26—216no—
783C26—216no—
784C26—216no—
785C26—216no—
786C26—216no—
787C26—216no—
788C26—2448no—
789C26—216no—
790C26—216no—
791C26—216no—
792C26—216no—
793C26—216no—
794C26—216no—
795C26—2448no—
796C26—2448no—
797C26—2448no—
798C26—2448no—
799C26—2448no—
800C26—4512no—
801C26—4256no—
802C26—4512no—
803C26—4224no—
804C26—4224no—
805C26—4224no—
806C26—4224no—
807C26—4112no—
808C26—4112no—
809C26—4224no—
810C26—4224no—
811C26—4224no—
812C26—4224no—
813C26—4224no—
814C26—4224no—
815C26—4224no—
816C26—4224no—
817C26—4512no—
818C26—4512no—
819C26—4512no—
820C26—4512no—
821C26—4512no—
822C26—4512no—
823C26—8256no—
824C26—8128no—
825C26—8256no—
826C26—8256no—
827C26—8128no—
828C26—8256no—
829C26—8256no—
830C26—8256no—
831C26—8256no—
832C26—8128no—
833C26—8256no—
834C26—8256no—
835C26—8128no—
836C26—8256no—
837C26C22×D4132yes—
838C26C22×D4116yes—
839C26C22×D4116yes—
840C26C22×D4116yes—
841C26C22×D41448yes—
842C26C22×D41448yescomplemented
843C26H(5,𝔽2)132yes—
844C26H(5,𝔽2)116yes—
845C26H(5,𝔽2)116yes—
846C26C25128yes—
847C26C25128yes—
848C26C25114yes—
849C26C25114yes—
850C26C25128yes—
851C26C25128yes—
852C26C251224yes—
853C26C25114yes—
854C26C251224yes—
855C26C251112yes—
856C26C251112yes—
857C26C2511yescharacteristic
858C23×D4—21024no—
859C23×D4—21024no—
860C23×D4—2448no—
861C23×D4—2448no—
862C23×D4—2448no—
863C23×D4—2448no—
864C23×D4—2448no—
865C23×D4—2448no—
866C23×D4—2448no—
867C23×D4—2448no—
868C23×D4—2448no—
869C23×D4—2448no—
870C23×D4—2448no—
871C23×D4—2448no—
872C23×D4—27168no—
873C23×D4—27168no—
874C23×D4—2448no—
875C23×D4—2448no—
876C23×D4—2448no—
877C23×D4—2448no—
878C23×D4—2448no—
879C23×D4—2448no—
880C23×D4—2448no—
881C23×D4—2448no—
882C23×D4—2448no—
883C23×D4—27168no—
884C23×D4—2448no—
885C23×D4—2448no—
886C23×D4—2448no—
887C23×D4—2448no—
888C23×D4—43584no—
889C23×D4—43584no—
890C23×D4—4512no—
891C23×D4—4224no—
892C23×D4—4224no—
893C23×D4—4224no—
894C23×D4—4224no—
895C23×D4—4224no—
896C23×D4—4224no—
897C23×D4—4224no—
898C23×D4—4112no—
899C23×D4—4224no—
900C23×D4—4224no—
901C23×D4—4112no—
902C23×D4—4224no—
903C23×D4—4224no—
904C23×D4—4224no—
905C23×D4—4224no—
906C23×D4—4224no—
907C23×D4—4224no—
908C23×D4—4224no—
909C23×D4—4224no—
910C23×D4—41792no—
911C23×D4—4512no—
912C23×D4—4512no—
913C23×D4—4512no—
914C23×D4—4224no—
915C23×D4—4224no—
916C23×D4—4224no—
917C23×D4—4224no—
918C23×D4—4224no—
919C23×D4—4224no—
920C23×D4—4224no—
921C23×D4—4224no—
922C23×D4—4112no—
923C23×D4—4224no—
924C23×D4—4224no—
925C23×D4—414336no—
926C23×D4—41792no—
927C23×D4—41792no—
928C23×D4—43584no—
929C23×D4—43584no—
930C23×D4—43584no—
931C23×D4—43584no—
932C23×D4—43584no—
933C23×D4—428672no—
934C23×D4—428672no—
935C23×D4—428672no—
936C23×D4—4512no—
937C23×D4—4512no—
938C23×D4—4256no—
939C23×D4—4512no—
940C23×D4—4512no—
941C23×D4—4512no—
942C23×D4—4512no—
943C23×D4—414336no—
944C23×D4—4256no—
945C23×D4—4512no—
946C23×D4—8256no—
947C23×D4—8256no—
948C23×D4—8256no—
949C23×D4—8256no—
950C23×D4—8128no—
951C23×D4C22×D41896yes—
952C23×D4C22×D41896yescomplemented
953C23×D4C22×D417168yescomplemented
954C23×D4C251224yes—
955C23×D4C251224yes—
956C23×D4C251112yes—
957C23×D4C251224yes—
958C23×D4C251224yes—
959C23×D4C251224yes—
960C23×D4C251224yes—
961C23×D4C251224yes—
962C23×D4C251224yes—
963C23×D4C251224yes—
964C23×D4C251224yes—
965C23×D4C251224yes—
966C23×D4C251224yes—
967C23×D4C251224yes—
968C23×D4C251224yes—
969C23×D4C251224yes—
970C23×D4C251112yes—
971C23×D4C251224yes—
972C23×D4C251112yes—
973C23×D4C251512yes—
974C23×D4C251224yes—
975C23×D4C2511024yescomplemented
976C23×D4C2511024yescomplemented
977C23×D4C2511024yescomplemented
978C23×D4C251512yescomplemented
979C24×C4—216no—
980C24×C4—216no—
981C24×C4—216no—
982C24×C4—216no—
983C24×C4—216no—
984C24×C4—216no—
985C24×C4—216no—
986C24×C4—2448no—
987C24×C4—2448no—
988C24×C4—216no—
989C24×C4—2224no—
990C24×C4—216no—
991C24×C4—28no—
992C24×C4—28no—
993C24×C4—216no—
994C24×C4—28no—
995C24×C4—28no—
996C24×C4—216no—
997C24×C4—216no—
998C24×C4—216no—
999C24×C4—216no—
1000C24×C4—216no—
1001C24×C4—216no—
1002C24×C4—216no—
1003C24×C4—216no—
1004C24×C4—216no—
1005C24×C4—216no—
1006C24×C4—216no—
1007C24×C4—216no—
1008C24×C4—216no—
1009C24×C4—216no—
1010C24×C4—216no—
1011C24×C4—216no—
1012C24×C4—2224no—
1013C24×C4—2448no—
1014C24×C4—2448no—
1015C24×C4—2448no—
1016C24×C4—4256no—
1017C24×C4—4112no—
1018C24×C4—4112no—
1019C24×C4—4224no—
1020C24×C4—4224no—
1021C24×C4—4224no—
1022C24×C4—4224no—
1023C24×C4—4224no—
1024C24×C4—4224no—
1025C24×C4—4224no—
1026C24×C4—4224no—
1027C24×C4—4224no—
1028C24×C4—4512no—
1029C24×C4—4512no—
1030C24×C4—4512no—
1031C24×C4—4256no—
1032C24×C4—8128no—
1033C24×C4—8256no—
1034C24×C4C22×D4132yes—
1035C24×C4C22×D41448yescomplemented
1036C24×C4H(5,𝔽2)132yes—
1037C24×C4C25128yes—
1038C24×C4C25128yes—
1039C24×C4C25128yes—
1040C24×C4C25114yes—
1041C24×C4C25114yes—
1042C24×C4C25128yes—
1043C24×C4C25114yes—
1044C24×C4C25128yes—
1045C24×C4C25114yes—
1046C24×C4C25128yes—
1047C24×C4C251224yes—
1048C24×C4C251224yes—
1049C24×C4C25128yes—
1050C24×C4C25128yes—
1051C24×C4C251112yes—
1052C24×C4C251224yes—
1053C24×C4C251112yes—
1054C24×C4C251224yes—
1055C24×C4C251112yes—
1056D42—265536no—
1057C2×#127—27168no—
1058C2×#127C2511024yescomplemented
1059C2×#123—43584no—
1060C2×#123C2511024yescomplemented
1061C2×#121—27168no—
1062C2×#121—27168no—
1063C2×#121—27168no—
1064C2×#121—27168no—
1065C2×#121—43584no—
1066C2×#121—43584no—
1067C2×#121—41792no—
1068C2×#121C2511024yes—
1069C2×#121C2511024yescomplemented
1070C2×#121C2511024yescomplemented
1071C2×#121C2511024yescomplemented
1072C2×#121C251512yescomplemented
1073C2×#121C2511024yescomplemented
1074C2×#121C2511024yescomplemented
1075C2×#120—27168no—
1076C2×#120—27168no—
1077C2×#120—27168no—
1078C2×#120—27168no—
1079C2×#120—43584no—
1080C2×#120—43584no—
1081C2×#120—43584no—
1082C2×#120—43584no—
1083C2×#120C2511024yes—
1084C2×#120C2511024yescomplemented
1085C2×#120C2511024yescomplemented
1086C2×#120C2511024yescomplemented
1087C2×#120C2511024yescomplemented
1088C2×#120C2511024yescomplemented
1089C2×#120C2511024yescomplemented
1090C2×#120C2511024yescomplemented
1091C2×C4×D4—27168no—
1092C2×C4×D4—27168no—
1093C2×C4×D4C2511024yescomplemented
1094C2×C4×D4C2511024yescomplemented
1095C22×C4⋊C4—2448no—
1096C22×C4⋊C4—2448no—
1097C22×C4⋊C4—2448no—
1098C22×C4⋊C4—4224no—
1099C22×C4⋊C4—4112no—
1100C22×C4⋊C4—4224no—
1101C22×C4⋊C4C251224yes—
1102C22×C4⋊C4C251224yes—
1103C22×C4⋊C4C251224yes—
1104C22×C4⋊C4C251224yes—
1105C22×C4⋊C4C251112yes—
1106C22×C4⋊C4C251224yes—
1107C22×C22⋊C4—2448no—
1108C22×C22⋊C4—2448no—
1109C22×C22⋊C4—2448no—
1110C22×C22⋊C4—2448no—
1111C22×C22⋊C4—2448no—
1112C22×C22⋊C4—2448no—
1113C22×C22⋊C4—2448no—
1114C22×C22⋊C4—2448no—
1115C22×C22⋊C4—2448no—
1116C22×C22⋊C4—2448no—
1117C22×C22⋊C4—2448no—
1118C22×C22⋊C4—2448no—
1119C22×C22⋊C4—2448no—
1120C22×C22⋊C4—43584no—
1121C22×C22⋊C4—41792no—
1122C22×C22⋊C4—4224no—
1123C22×C22⋊C4—4112no—
1124C22×C22⋊C4—4112no—
1125C22×C22⋊C4—4224no—
1126C22×C22⋊C4—4112no—
1127C22×C22⋊C4—4112no—
1128C22×C22⋊C4—4112no—
1129C22×C22⋊C4—4112no—
1130C22×C22⋊C4—41792no—
1131C22×C22⋊C4—4224no—
1132C22×C22⋊C4—4224no—
1133C22×C22⋊C4—4224no—
1134C22×C22⋊C4—4224no—
1135C22×C22⋊C4—4224no—
1136C22×C22⋊C4—4224no—
1137C22×C22⋊C4—4224no—
1138C22×C22⋊C4—4224no—
1139C22×C22⋊C4—4224no—
1140C22×C22⋊C4—4224no—
1141C22×C22⋊C4—4224no—
1142C22×C22⋊C4—4224no—
1143C22×C22⋊C4—4224no—
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⋊C4C251224yes—
1155C22×C22⋊C4C251224yes—
1156C22×C22⋊C4C251224yes—
1157C22×C22⋊C4C251112yes—
1158C22×C22⋊C4C251224yes—
1159C22×C22⋊C4C251112yes—
1160C22×C22⋊C4C251224yes—
1161C22×C22⋊C4C251112yes—
1162C22×C22⋊C4C251112yes—
1163C22×C22⋊C4C251112yes—
1164C22×C22⋊C4C251112yes—
1165C22×C22⋊C4C251224yes—
1166C22×C22⋊C4C251224yes—
1167C22×C22⋊C4C251224yes—
1168C22×C22⋊C4C251224yes—
1169C22×C22⋊C4C251224yes—
1170C22×C22⋊C4C251224yes—
1171C22×C22⋊C4C251224yes—
1172C22×C22⋊C4C251224yes—
1173C22×C22⋊C4C251224yes—
1174C22×C22⋊C4C251224yes—
1175C22×C22⋊C4C251224yes—
1176C22×C22⋊C4C251224yes—
1177C22×C22⋊C4C251224yes—
1178C22×C22⋊C4C251512yescomplemented
1179C22×C22⋊C4C251512yescomplemented
1180C22×C22⋊C4C2511024yescomplemented
1181C22×C42—2448no—
1182C22×C42C251224yes—
1183#400C2511024yescomplemented
1184#399C2511024yescomplemented
1185#397C251512yescomplemented
1186#397C251512yescomplemented
1187#397C2511024yescomplemented
1188#397C2511024yescomplemented
1189#397C2511024yescomplemented
1190#394C2511024yescomplemented
1191#394C2511024yescomplemented
1192#394C2511024yescomplemented
1193#394C2511024yescomplemented
1194#394C2511024yescomplemented
1195#394C2511024yescomplemented
1196#394C2511024yescomplemented
1197#394C2511024yescomplemented
1198#394C2511024yescomplemented
1199#392C251512yes—
1200#392C2511024yescomplemented
1201#392C2511024yescomplemented
1202#392C2511024yescomplemented
1203#392C2511024yescomplemented
1204#392C251512yescomplemented
1205#392C251512yescomplemented
1206#392C2511024yescomplemented
1207#392C2511024yescomplemented
1208#392C251512yescomplemented
1209#392C2511024yescomplemented
1210#392C251512yescomplemented
1211#392C251512yescomplemented
1212#392C2511024yescomplemented
1213#392C2511024yescomplemented
1214#392C2511024yescomplemented
1215#388C2511024yescomplemented
1216#388C2511024yescomplemented
1217#388C2511024yescomplemented
1218#387C2511024yescomplemented
1219#386C2511024yescomplemented
1220#386C2511024yescomplemented
1221#386C2511024yescomplemented
1222#386C2511024yescomplemented
1223#386C2511024yescomplemented
1224#386C2511024yescomplemented
1225#386C2511024yescomplemented
1226#386C2511024yescomplemented
1227#386C2511024yescomplemented
1228#386C2511024yescomplemented
1229#386C2511024yescomplemented
1230#386C2511024yescomplemented
1231#386C2511024yescomplemented
1232#385C2511024yescomplemented
1233#385C2511024yescomplemented
1234#381C251512yescomplemented
1235#381C251512yescomplemented
1236#381C2511024yescomplemented
1237#380C251512yescomplemented
1238#379C251512yescomplemented
1239#379C251512yescomplemented
1240#379C2511024yescomplemented
1241#379C2511024yescomplemented
1242C2×#95C251112yes—
1243C2×#95C251224yes—
1244C2×#95C251112yes—
1245C2×#95C251112yes—
1246C2×#95C251224yes—
1247C2×#95C251224yes—
1248C2×#95C251224yes—
1249C2×#95C251224yes—
1250C2×#95C251112yes—
1251C2×#95C251224yes—
1252C2×#95C251224yes—
1253C2×#95C251224yes—
1254C2×#95C251224yes—
1255C2×#95C251224yes—
1256C2×#95C251224yes—
1257C2×#95C251512yescomplemented
1258C25—2112no—
1259C25—2112no—
1260C25—2256no—
1261C25—2128no—
1262C25—2256no—
1263C25—2128no—
1264C25—2112no—
1265C25—2112no—
1266C25—256no—
1267C25—256no—
1268C25—256no—
1269C25—2112no—
1270C25—2112no—
1271C25—2112no—
1272C25—2112no—
1273C25—2112no—
1274C25—2112no—
1275C25—256no—
1276C25—2112no—
1277C25—2112no—
1278C25—2112no—
1279C25—2112no—
1280C25—2112no—
1281C25—2112no—
1282C25—2112no—
1283C25—2112no—
1284C25—2128no—
1285C25—2256no—
1286C25—2128no—
1287C25—2256no—
1288C25—2256no—
1289C25—2256no—
1290C25—2256no—
1291C25—2256no—
1292C25—2256no—
1293C25—2256no—
1294C25—2448no—
1295C25—2448no—
1296C25—23584no—
1297C25—2112no—
1298C25—2112no—
1299C25—2112no—
1300C25—2112no—
1301C25—2112no—
1302C25—2112no—
1303C25—2112no—
1304C25—2112no—
1305C25—2112no—
1306C25—2112no—
1307C25—2112no—
1308C25—2112no—
1309C25—2896no—
1310C25—2112no—
1311C25—2112no—
1312C25—2896no—
1313C25—2896no—
1314C25—2896no—
1315C25—2896no—
1316C25—2896no—
1317C25—4448no—
1318C25—43584no—
1319C25—43584no—
1320C25—41792no—
1321C25—4448no—
1322C25—4448no—
1323C25—4448no—
1324C25—4448no—
1325C25—4224no—
1326C25—4224no—
1327C25—4448no—
1328C25—4448no—
1329C25—4448no—
1330C25—4448no—
1331C25—4448no—
1332C25—4448no—
1333C25—4448no—
1334C25—43584no—
1335C25—43584no—
1336C25—43584no—
1337C25—43584no—
1338C25—43584no—
1339C25—4128no—
1340C25—4128no—
1341C25—464no—
1342C25—4128no—
1343C25—464no—
1344C25—4128no—
1345C25—4128no—
1346C25—4128no—
1347C25—4128no—
1348C25—4128no—
1349C25—464no—
1350C25—4128no—
1351C25—4128no—
1352C25—464no—
1353C25—43584no—
1354C25—4128no—
1355C25—4128no—
1356C25—4128no—
1357C25—4128no—
1358C25—4128no—
1359C25—4128no—
1360C25—4128no—
1361C25—4128no—
1362C25—4128no—
1363C25—4128no—
1364C25—4128no—
1365C25—4128no—
1366C25—4128no—
1367C25—4128no—
1368C25—81792no—
1369C25—81792no—
1370C25—8896no—
1371C25—81792no—
1372C25—81792no—
1373C25—84096no—
1374C25—8896no—
1375C25—81792no—
1376C25—81792no—
1377C25—81792no—
1378C25—88192no—
1379C25—81792no—
1380C25—81792no—
1381C25—8896no—
1382C25—81792no—
1383C25—84096no—
1384C25—8896no—
1385C25—88192no—
1386C25#5341256yes—
1387C25C23×D41224yes—
1388C25C23×D41112yes—
1389C25C23×D41112yes—
1390C25C23×D41112yes—
1391C25C23×D41896yes—
1392C25C23×D418yes—
1393C25C23×D41896yescomplemented
1394C25C2×H(5,𝔽2)1224yes—
1395C25C2×H(5,𝔽2)1112yes—
1396C25C2×H(5,𝔽2)1112yes—
1397C25C2×H(5,𝔽2)18yes—
1398C25C2×H(5,𝔽2)18yes—
1399C25C2×H(5,𝔽2)116yes—
1400C25C2×H(5,𝔽2)116yes—
1401C25C26156yes—
1402C25C26156yes—
1403C25C26128yes—
1404C25C26156yes—
1405C25C26128yes—
1406C25C26156yes—
1407C25C261128yes—
1408C25C26128yes—
1409C25C261128yes—
1410C25C26164yes—
1411C25C26164yes—
1412C25C2617yes—
1413C22×D4—27168no—
1414C22×D4—2896no—
1415C22×D4—2896no—
1416C22×D4—2896no—
1417C22×D4—2896no—
1418C22×D4—27168no—
1419C22×D4—2896no—
1420C22×D4—2896no—
1421C22×D4—2896no—
1422C22×D4—2896no—
1423C22×D4—2896no—
1424C22×D4—2896no—
1425C22×D4—2896no—
1426C22×D4—2896no—
1427C22×D4—24096no—
1428C22×D4—24096no—
1429C22×D4—2896no—
1430C22×D4—2896no—
1431C22×D4—2896no—
1432C22×D4—2896no—
1433C22×D4—2896no—
1434C22×D4—2896no—
1435C22×D4—2896no—
1436C22×D4—2896no—
1437C22×D4—2896no—
1438C22×D4—24096no—
1439C22×D4—2896no—
1440C22×D4—2896no—
1441C22×D4—2896no—
1442C22×D4—2896no—
1443C22×D4—42048no—
1444C22×D4—42048no—
1445C22×D4—43584no—
1446C22×D4—4448no—
1447C22×D4—4448no—
1448C22×D4—4448no—
1449C22×D4—4448no—
1450C22×D4—4448no—
1451C22×D4—4448no—
1452C22×D4—4448no—
1453C22×D4—4224no—
1454C22×D4—4448no—
1455C22×D4—4448no—
1456C22×D4—4224no—
1457C22×D4—4448no—
1458C22×D4—4448no—
1459C22×D4—4448no—
1460C22×D4—4448no—
1461C22×D4—4448no—
1462C22×D4—4448no—
1463C22×D4—4448no—
1464C22×D4—4448no—
1465C22×D4—41024no—
1466C22×D4—43584no—
1467C22×D4—43584no—
1468C22×D4—43584no—
1469C22×D4—4448no—
1470C22×D4—4448no—
1471C22×D4—4448no—
1472C22×D4—4448no—
1473C22×D4—4448no—
1474C22×D4—4448no—
1475C22×D4—4448no—
1476C22×D4—4448no—
1477C22×D4—4224no—
1478C22×D4—4448no—
1479C22×D4—4448no—
1480C22×D4—428672no—
1481C22×D4—41024no—
1482C22×D4—41024no—
1483C22×D4—42048no—
1484C22×D4—42048no—
1485C22×D4—42048no—
1486C22×D4—42048no—
1487C22×D4—42048no—
1488C22×D4—457344no—
1489C22×D4—457344no—
1490C22×D4—457344no—
1491C22×D4—43584no—
1492C22×D4—43584no—
1493C22×D4—41792no—
1494C22×D4—43584no—
1495C22×D4—43584no—
1496C22×D4—43584no—
1497C22×D4—43584no—
1498C22×D4—428672no—
1499C22×D4—41792no—
1500C22×D4—43584no—
1501C22×D4—81792no—
1502C22×D4—81792no—
1503C22×D4—81792no—
1504C22×D4—81792no—
1505C22×D4—8896no—
1506C22×D4C23×D411792yes—
1507C22×D4C23×D411792yescomplemented
1508C22×D4C23×D414096yescomplemented
1509C22×D4C261128yes—
1510C22×D4C261128yes—
1511C22×D4C261128yes—
1512C22×D4C26164yes—
1513C22×D4C261128yes—
1514C22×D4C261128yes—
1515C22×D4C261128yes—
1516C22×D4C261128yes—
1517C22×D4C261128yes—
1518C22×D4C261128yes—
1519C22×D4C261128yes—
1520C22×D4C261128yes—
1521C22×D4C261128yes—
1522C22×D4C261128yes—
1523C22×D4C261128yes—
1524C22×D4C261128yes—
1525C22×D4C261128yes—
1526C22×D4C26164yes—
1527C22×D4C26164yes—
1528C22×D4C261128yes—
1529C23×C4—2112no—
1530C23×C4—2112no—
1531C23×C4—2112no—
1532C23×C4—2112no—
1533C23×C4—2256no—
1534C23×C4—2256no—
1535C23×C4—2112no—
1536C23×C4—2112no—
1537C23×C4—2112no—
1538C23×C4—2112no—
1539C23×C4—2896no—
1540C23×C4—2896no—
1541C23×C4—2112no—
1542C23×C4—2112no—
1543C23×C4—2112no—
1544C23×C4—2112no—
1545C23×C4—2112no—
1546C23×C4—2112no—
1547C23×C4—2112no—
1548C23×C4—256no—
1549C23×C4—2112no—
1550C23×C4—256no—
1551C23×C4—2112no—
1552C23×C4—2448no—
1553C23×C4—2112no—
1554C23×C4—256no—
1555C23×C4—256no—
1556C23×C4—2112no—
1557C23×C4—2112no—
1558C23×C4—2112no—
1559C23×C4—2112no—
1560C23×C4—2112no—
1561C23×C4—2112no—
1562C23×C4—2112no—
1563C23×C4—2112no—
1564C23×C4—2448no—
1565C23×C4—2896no—
1566C23×C4—2896no—
1567C23×C4—2896no—
1568C23×C4—41792no—
1569C23×C4—4224no—
1570C23×C4—4224no—
1571C23×C4—4448no—
1572C23×C4—4448no—
1573C23×C4—4448no—
1574C23×C4—4448no—
1575C23×C4—4448no—
1576C23×C4—4448no—
1577C23×C4—4448no—
1578C23×C4—4448no—
1579C23×C4—4448no—
1580C23×C4—43584no—
1581C23×C4—43584no—
1582C23×C4—43584no—
1583C23×C4—41792no—
1584C23×C4—4128no—
1585C23×C4—4128no—
1586C23×C4—4128no—
1587C23×C4—4128no—
1588C23×C4—464no—
1589C23×C4—464no—
1590C23×C4—4128no—
1591C23×C4—4128no—
1592C23×C4—464no—
1593C23×C4—464no—
1594C23×C4—8896no—
1595C23×C4—81792no—
1596C23×C4C23×D41224yes—
1597C23×C4C23×D41896yescomplemented
1598C23×C4C2×H(5,𝔽2)1224yes—
1599C23×C4C26128yes—
1600C23×C4C26156yes—
1601C23×C4C26128yes—
1602C23×C4C26156yes—
1603C23×C4C26156yes—
1604C23×C4C26156yes—
1605C23×C4C26156yes—
1606C23×C4C26156yes—
1607C23×C4C26128yes—
1608C23×C4C26128yes—
1609C23×C4C261128yes—
1610C23×C4C261128yes—
1611C23×C4C26156yes—
1612C23×C4C26156yes—
1613C23×C4C26164yes—
1614C23×C4C26164yes—
1615C23×C4C261128yes—
1616C23×C4C261128yes—
1617C23×C4C26164yes—
1618#127—24096no—
1619#123—42048no—
1620#121—24096no—
1621#121—24096no—
1622#121—24096no—
1623#121—24096no—
1624#121—42048no—
1625#121—42048no—
1626#121—41024no—
1627#120—24096no—
1628#120—24096no—
1629#120—24096no—
1630#120—24096no—
1631#120—42048no—
1632#120—42048no—
1633#120—42048no—
1634#120—42048no—
1635C4×D4—24096no—
1636C4×D4—24096no—
1637C2×C4⋊C4—2896no—
1638C2×C4⋊C4—2896no—
1639C2×C4⋊C4—2896no—
1640C2×C4⋊C4—4448no—
1641C2×C4⋊C4—4224no—
1642C2×C4⋊C4—4448no—
1643C2×C4⋊C4C261128yes—
1644C2×C4⋊C4C261128yes—
1645C2×C4⋊C4C261128yes—
1646C2×C4⋊C4C26164yes—
1647C2×C4⋊C4C261128yes—
1648C2×C4⋊C4C261128yes—
1649C2×C22⋊C4—2896no—
1650C2×C22⋊C4—2896no—
1651C2×C22⋊C4—2896no—
1652C2×C22⋊C4—2896no—
1653C2×C22⋊C4—2896no—
1654C2×C22⋊C4—2896no—
1655C2×C22⋊C4—2896no—
1656C2×C22⋊C4—2896no—
1657C2×C22⋊C4—2896no—
1658C2×C22⋊C4—2896no—
1659C2×C22⋊C4—2896no—
1660C2×C22⋊C4—2896no—
1661C2×C22⋊C4—2896no—
1662C2×C22⋊C4—42048no—
1663C2×C22⋊C4—41024no—
1664C2×C22⋊C4—4448no—
1665C2×C22⋊C4—4224no—
1666C2×C22⋊C4—4224no—
1667C2×C22⋊C4—4448no—
1668C2×C22⋊C4—4224no—
1669C2×C22⋊C4—4224no—
1670C2×C22⋊C4—4224no—
1671C2×C22⋊C4—4224no—
1672C2×C22⋊C4—41024no—
1673C2×C22⋊C4—4448no—
1674C2×C22⋊C4—4448no—
1675C2×C22⋊C4—4448no—
1676C2×C22⋊C4—4448no—
1677C2×C22⋊C4—4448no—
1678C2×C22⋊C4—4448no—
1679C2×C22⋊C4—4448no—
1680C2×C22⋊C4—4448no—
1681C2×C22⋊C4—4448no—
1682C2×C22⋊C4—4448no—
1683C2×C22⋊C4—4448no—
1684C2×C22⋊C4—4448no—
1685C2×C22⋊C4—4448no—
1686C2×C22⋊C4C261128yes—
1687C2×C22⋊C4C261128yes—
1688C2×C22⋊C4C261128yes—
1689C2×C22⋊C4C261128yes—
1690C2×C22⋊C4C261128yes—
1691C2×C22⋊C4C261128yes—
1692C2×C22⋊C4C261128yes—
1693C2×C22⋊C4C261128yes—
1694C2×C22⋊C4C261128yes—
1695C2×C22⋊C4C261128yes—
1696C2×C22⋊C4C261128yes—
1697C2×C22⋊C4C261128yes—
1698C2×C22⋊C4C261128yes—
1699C2×C22⋊C4C26164yes—
1700C2×C22⋊C4C26164yes—
1701C2×C22⋊C4C26164yes—
1702C2×C22⋊C4C26164yes—
1703C2×C22⋊C4C261128yes—
1704C2×C22⋊C4C26164yes—
1705C2×C22⋊C4C26164yes—
1706C2×C22⋊C4C261128yes—
1707C2×C22⋊C4C261128yes—
1708C2×C22⋊C4C261128yes—
1709C2×C22⋊C4C261128yes—
1710C2×C22⋊C4C261128yes—
1711C2×C22⋊C4C261128yes—
1712C2×C22⋊C4C261128yes—
1713C2×C22⋊C4C261128yes—
1714C2×C22⋊C4C261128yes—
1715C2×C22⋊C4C261128yes—
1716C2×C22⋊C4C261128yes—
1717C2×C22⋊C4C261128yes—
1718C2×C22⋊C4C261128yes—
1719C2×C22⋊C4C261128yes—
1720C2×C42—2896no—
1721C2×C42C261128yes—
1722#95C261128yes—
1723#95C26164yes—
1724#95C26164yes—
1725#95C26164yes—
1726#95C26164yes—
1727#95C261128yes—
1728#95C261128yes—
1729#95C261128yes—
1730#95C261128yes—
1731#95C261128yes—
1732#95C261128yes—
1733#95C261128yes—
1734#95C261128yes—
1735#95C261128yes—
1736#95C261128yes—
1737C24—2896no—
1738C24—2448no—
1739C24—2896no—
1740C24—2112no—
1741C24—2112no—
1742C24—22048no—
1743C24—2448no—
1744C24—2896no—
1745C24—2896no—
1746C24—2896no—
1747C24—2896no—
1748C24—2896no—
1749C24—2896no—
1750C24—2112no—
1751C24—2112no—
1752C24—256no—
1753C24—256no—
1754C24—256no—
1755C24—2112no—
1756C24—2112no—
1757C24—2112no—
1758C24—2112no—
1759C24—2112no—
1760C24—2112no—
1761C24—256no—
1762C24—2112no—
1763C24—2112no—
1764C24—2112no—
1765C24—2112no—
1766C24—2112no—
1767C24—2112no—
1768C24—2112no—
1769C24—2112no—
1770C24—2448no—
1771C24—2896no—
1772C24—2448no—
1773C24—2896no—
1774C24—2128no—
1775C24—2128no—
1776C24—23584no—
1777C24—2112no—
1778C24—2112no—
1779C24—2112no—
1780C24—2112no—
1781C24—2112no—
1782C24—2112no—
1783C24—2112no—
1784C24—2112no—
1785C24—2112no—
1786C24—2112no—
1787C24—2112no—
1788C24—2112no—
1789C24—2256no—
1790C24—2112no—
1791C24—2112no—
1792C24—2256no—
1793C24—2256no—
1794C24—2256no—
1795C24—2256no—
1796C24—2256no—
1797C24—4128no—
1798C24—43584no—
1799C24—41792no—
1800C24—43584no—
1801C24—4128no—
1802C24—4128no—
1803C24—4128no—
1804C24—4128no—
1805C24—464no—
1806C24—464no—
1807C24—4128no—
1808C24—4128no—
1809C24—4128no—
1810C24—4128no—
1811C24—4128no—
1812C24—4128no—
1813C24—4128no—
1814C24—43584no—
1815C24—43584no—
1816C24—43584no—
1817C24—43584no—
1818C24—43584no—
1819C24—4448no—
1820C24—4448no—
1821C24—4448no—
1822C24—4448no—
1823C24—4448no—
1824C24—4224no—
1825C24—4448no—
1826C24—4224no—
1827C24—4448no—
1828C24—4448no—
1829C24—41024no—
1830C24—41024no—
1831C24—42048no—
1832C24—42048no—
1833C24—4448no—
1834C24—4224no—
1835C24—4224no—
1836C24—4448no—
1837C24—4448no—
1838C24—4448no—
1839C24—4448no—
1840C24—4448no—
1841C24—4448no—
1842C24—4448no—
1843C24—4448no—
1844C24—4448no—
1845C24—4448no—
1846C24—4448no—
1847C24—43584no—
1848C24—4448no—
1849C24—4448no—
1850C24—4448no—
1851C24—4448no—
1852C24—8896no—
1853C24—81792no—
1854C24—81792no—
1855C24—8896no—
1856C24—81792no—
1857C24—81792no—
1858C24—814336no—
1859C24—81792no—
1860C24—81792no—
1861C24—81792no—
1862C24—828672no—
1863C24—8896no—
1864C24—81792no—
1865C24—81792no—
1866C24—8896no—
1867C24—81792no—
1868C24—814336no—
1869C24—828672no—
1870C24—81024no—
1871C24—81024no—
1872C24C2×#5341896yes—
1873C24C2×#534164yes—
1874C24#34841128yes—
1875C24#3532164yes—
1876C24#35371128yes—
1877C24#3543164yes—
1878C24C24×D41224yes—
1879C24C24×D41112yes—
1880C24C24×D41112yes—
1881C24C24×D41112yes—
1882C24C24×D41256yes—
1883C24C24×D4128yes—
1884C24C24×D41256yescomplemented
1885C24C22×H(5,𝔽2)1224yes—
1886C24C22×H(5,𝔽2)1112yes—
1887C24C22×H(5,𝔽2)1112yes—
1888C24C22×H(5,𝔽2)128yes—
1889C24C22×H(5,𝔽2)156yes—
1890C24C22×H(5,𝔽2)156yes—
1891C24C22×H(5,𝔽2)128yes—
1892C24C27116yes—
1893C24C27116yes—
1894C24C2718yes—
1895C24C27116yes—
1896C24C2718yes—
1897C24C27116yes—
1898C24C2718yes—
1899C24C2717yes—
1900C2×D4—27168no—
1901C2×D4—2256no—
1902C2×D4—2256no—
1903C2×D4—2256no—
1904C2×D4—2256no—
1905C2×D4—27168no—
1906C2×D4—2256no—
1907C2×D4—2256no—
1908C2×D4—2256no—
1909C2×D4—2256no—
1910C2×D4—2256no—
1911C2×D4—2256no—
1912C2×D4—2256no—
1913C2×D4—2256no—
1914C2×D4—2256no—
1915C2×D4—2256no—
1916C2×D4—2256no—
1917C2×D4—2256no—
1918C2×D4—2256no—
1919C2×D4—2256no—
1920C2×D4—2256no—
1921C2×D4—2256no—
1922C2×D4—2256no—
1923C2×D4—2256no—
1924C2×D4—2256no—
1925C2×D4—2256no—
1926C2×D4—2256no—
1927C2×D4—43584no—
1928C2×D4—4128no—
1929C2×D4—4128no—
1930C2×D4—4128no—
1931C2×D4—4128no—
1932C2×D4—4128no—
1933C2×D4—4128no—
1934C2×D4—4128no—
1935C2×D4—464no—
1936C2×D4—4128no—
1937C2×D4—4128no—
1938C2×D4—464no—
1939C2×D4—4128no—
1940C2×D4—4128no—
1941C2×D4—4128no—
1942C2×D4—4128no—
1943C2×D4—4128no—
1944C2×D4—4128no—
1945C2×D4—4128no—
1946C2×D4—4128no—
1947C2×D4—43584no—
1948C2×D4—43584no—
1949C2×D4—43584no—
1950C2×D4—4128no—
1951C2×D4—4128no—
1952C2×D4—4128no—
1953C2×D4—4128no—
1954C2×D4—4128no—
1955C2×D4—4128no—
1956C2×D4—4128no—
1957C2×D4—4128no—
1958C2×D4—464no—
1959C2×D4—4128no—
1960C2×D4—4128no—
1961C2×D4—48192no—
1962C2×D4—416384no—
1963C2×D4—416384no—
1964C2×D4—416384no—
1965C2×D4—41792no—
1966C2×D4—43584no—
1967C2×D4—43584no—
1968C2×D4—43584no—
1969C2×D4—43584no—
1970C2×D4—43584no—
1971C2×D4—43584no—
1972C2×D4—48192no—
1973C2×D4—41792no—
1974C2×D4—43584no—
1975C2×D4—81792no—
1976C2×D4—81792no—
1977C2×D4—81792no—
1978C2×D4—81792no—
1979C2×D4—8896no—
1980C2×D4C24×D41512yes—
1981C2×D4C24×D41512yescomplemented
1982C22×C4—2896no—
1983C22×C4—2112no—
1984C22×C4—2112no—
1985C22×C4—2112no—
1986C22×C4—2112no—
1987C22×C4—2896no—
1988C22×C4—2112no—
1989C22×C4—2112no—
1990C22×C4—2112no—
1991C22×C4—2112no—
1992C22×C4—2256no—
1993C22×C4—2256no—
1994C22×C4—2112no—
1995C22×C4—2112no—
1996C22×C4—2112no—
1997C22×C4—2112no—
1998C22×C4—2112no—
1999C22×C4—2112no—
2000C22×C4—2112no—
2001C22×C4—256no—
2002C22×C4—2112no—
2003C22×C4—256no—
2004C22×C4—2112no—
2005C22×C4—2128no—
2006C22×C4—256no—
2007C22×C4—256no—
2008C22×C4—2112no—
2009C22×C4—2112no—
2010C22×C4—2112no—
2011C22×C4—2112no—
2012C22×C4—2112no—
2013C22×C4—2112no—
2014C22×C4—2112no—
2015C22×C4—2112no—
2016C22×C4—2112no—
2017C22×C4—2128no—
2018C22×C4—2256no—
2019C22×C4—2256no—
2020C22×C4—2256no—
2021C22×C4—41792no—
2022C22×C4—464no—
2023C22×C4—464no—
2024C22×C4—4128no—
2025C22×C4—4128no—
2026C22×C4—4128no—
2027C22×C4—4128no—
2028C22×C4—4128no—
2029C22×C4—4128no—
2030C22×C4—4128no—
2031C22×C4—4128no—
2032C22×C4—4128no—
2033C22×C4—43584no—
2034C22×C4—43584no—
2035C22×C4—43584no—
2036C22×C4—41792no—
2037C22×C4—4448no—
2038C22×C4—4448no—
2039C22×C4—4224no—
2040C22×C4—4224no—
2041C22×C4—4448no—
2042C22×C4—4448no—
2043C22×C4—4448no—
2044C22×C4—4448no—
2045C22×C4—4224no—
2046C22×C4—4224no—
2047C22×C4—8896no—
2048C22×C4—81792no—
2049C22×C4C24×D41224yes—
2050C22×C4C24×D41256yescomplemented
2051C22×C4C22×H(5,𝔽2)1224yes—
2052C22×C4C2718yes—
2053C22×C4C2718yes—
2054C22×C4C27116yes—
2055C22×C4C2718yes—
2056C22×C4C27116yes—
2057C22×C4C27116yes—
2058C22×C4C27116yes—
2059C22×C4C27116yes—
2060C22×C4C27116yes—
2061C22×C4C2718yes—
2062C22×C4C27116yes—
2063C22×C4C27116yes—
2064C4⋊C4—2256no—
2065C4⋊C4—2256no—
2066C4⋊C4—2256no—
2067C4⋊C4—4128no—
2068C4⋊C4—464no—
2069C4⋊C4—4128no—
2070C22⋊C4—2256no—
2071C22⋊C4—2256no—
2072C22⋊C4—2256no—
2073C22⋊C4—2256no—
2074C22⋊C4—2256no—
2075C22⋊C4—2256no—
2076C22⋊C4—2256no—
2077C22⋊C4—2256no—
2078C22⋊C4—2256no—
2079C22⋊C4—2256no—
2080C22⋊C4—2256no—
2081C22⋊C4—2256no—
2082C22⋊C4—2256no—
2083C22⋊C4—4128no—
2084C22⋊C4—464no—
2085C22⋊C4—464no—
2086C22⋊C4—4128no—
2087C22⋊C4—464no—
2088C22⋊C4—464no—
2089C22⋊C4—464no—
2090C22⋊C4—464no—
2091C22⋊C4—4128no—
2092C22⋊C4—4128no—
2093C22⋊C4—4128no—
2094C22⋊C4—4128no—
2095C22⋊C4—4128no—
2096C22⋊C4—4128no—
2097C22⋊C4—4128no—
2098C22⋊C4—4128no—
2099C22⋊C4—4128no—
2100C22⋊C4—4128no—
2101C22⋊C4—4128no—
2102C22⋊C4—4128no—
2103C22⋊C4—4128no—
2104C42—2256no—
2105C23—2224no—
2106C23—2448no—
2107C23—2224no—
2108C23—2448no—
2109C23—23584no—
2110C23—216no—
2111C23—216no—
2112C23—2448no—
2113C23—2448no—
2114C23—2224no—
2115C23—2448no—
2116C23—2224no—
2117C23—2448no—
2118C23—2448no—
2119C23—2448no—
2120C23—2448no—
2121C23—2448no—
2122C23—216no—
2123C23—216no—
2124C23—28no—
2125C23—28no—
2126C23—28no—
2127C23—216no—
2128C23—216no—
2129C23—216no—
2130C23—216no—
2131C23—216no—
2132C23—216no—
2133C23—28no—
2134C23—216no—
2135C23—216no—
2136C23—216no—
2137C23—216no—
2138C23—216no—
2139C23—216no—
2140C23—216no—
2141C23—216no—
2142C23—2512no—
2143C23—216no—
2144C23—216no—
2145C23—216no—
2146C23—216no—
2147C23—216no—
2148C23—216no—
2149C23—216no—
2150C23—216no—
2151C23—216no—
2152C23—216no—
2153C23—216no—
2154C23—216no—
2155C23—216no—
2156C23—216no—
2157C23—4512no—
2158C23—4512no—
2159C23—4256no—
2160C23—4512no—
2161C23—4512no—
2162C23—4512no—
2163C23—4512no—
2164C23—4512no—
2165C23—4112no—
2166C23—4112no—
2167C23—4224no—
2168C23—4224no—
2169C23—4224no—
2170C23—4224no—
2171C23—4224no—
2172C23—4224no—
2173C23—4112no—
2174C23—4224no—
2175C23—4112no—
2176C23—4224no—
2177C23—4224no—
2178C23—4224no—
2179C23—41792no—
2180C23—43584no—
2181C23—43584no—
2182C23—41792no—
2183C23—4224no—
2184C23—4224no—
2185C23—4224no—
2186C23—4224no—
2187C23—4224no—
2188C23—4224no—
2189C23—4224no—
2190C23—4224no—
2191C23—4512no—
2192C23—4224no—
2193C23—4224no—
2194C23—4224no—
2195C23—4224no—
2196C23—4224no—
2197C23—4224no—
2198C23—87168no—
2199C23—8256no—
2200C23—8128no—
2201C23—8128no—
2202C23—8256no—
2203C23—8256no—
2204C23—8256no—
2205C23—8256no—
2206C23—8256no—
2207C23—8256no—
2208C23—814336no—
2209C23—87168no—
2210C23—8128no—
2211C23—8128no—
2212C23—8256no—
2213C23—8256no—
2214C23—8256no—
2215C23—814336no—
2216C23—81792no—
2217C23—81792no—
2218C23#405841512yesdirect product factor
2219C23C22×#5341448yes—
2220C23C22×#5341112yes—
2221C23C2×#35321112yes—
2222C23C2×#35371224yes—
2223C23C2×#35431112yes—
2224C23C2×#34841224yes—
2225C23C25×D4132yes—
2226C23C25×D4116yes—
2227C23C25×D4116yes—
2228C23C25×D4116yes—
2229C23C25×D4114yes—
2230C23C23×H(5,𝔽2)132yes—
2231C23C23×H(5,𝔽2)116yes—
2232C23C23×H(5,𝔽2)116yes—
2233C23C23×H(5,𝔽2)128yes—
2234C23C23×H(5,𝔽2)114yes—
2235C23C23×H(5,𝔽2)114yes—
2236C23C23×H(5,𝔽2)128yes—
2237C23C2811yescharacteristic
2238D4—21024no—
2239D4—21024no—
2240D4—4512no—
2241D4—4512no—
2242D4—4512no—
2243D4—4512no—
2244D4—4512no—
2245D4—4512no—
2246D4—4256no—
2247D4—4512no—
2248D4—4512no—
2249D4—4512no—
2250D4—4512no—
2251D4—4256no—
2252D4—4512no—
2253D4—8256no—
2254D4—8256no—
2255D4—8256no—
2256D4—8128no—
2257D4—8256no—
2258C2×C4—2448no—
2259C2×C4—2448no—
2260C2×C4—216no—
2261C2×C4—216no—
2262C2×C4—216no—
2263C2×C4—216no—
2264C2×C4—216no—
2265C2×C4—216no—
2266C2×C4—216no—
2267C2×C4—216no—
2268C2×C4—216no—
2269C2×C4—216no—
2270C2×C4—216no—
2271C2×C4—216no—
2272C2×C4—216no—
2273C2×C4—216no—
2274C2×C4—216no—
2275C2×C4—28no—
2276C2×C4—216no—
2277C2×C4—28no—
2278C2×C4—216no—
2279C2×C4—216no—
2280C2×C4—28no—
2281C2×C4—28no—
2282C2×C4—216no—
2283C2×C4—216no—
2284C2×C4—216no—
2285C2×C4—216no—
2286C2×C4—216no—
2287C2×C4—216no—
2288C2×C4—216no—
2289C2×C4—216no—
2290C2×C4—4256no—
2291C2×C4—4512no—
2292C2×C4—4512no—
2293C2×C4—4512no—
2294C2×C4—4256no—
2295C2×C4—4112no—
2296C2×C4—4112no—
2297C2×C4—4224no—
2298C2×C4—4224no—
2299C2×C4—4112no—
2300C2×C4—4112no—
2301C2×C4—4224no—
2302C2×C4—4224no—
2303C2×C4—4224no—
2304C2×C4—4224no—
2305C2×C4—8128no—
2306C2×C4—8256no—
2307C2×C4C25×D4132yes—
2308C2×C4C23×H(5,𝔽2)132yes—
2309C22—2896no—
2310C22—232no—
2311C22—216no—
2312C22—216no—
2313C22—232no—
2314C22—232no—
2315C22—232no—
2316C22—232no—
2317C22—232no—
2318C22—232no—
2319C22—232no—
2320C22—216no—
2321C22—232no—
2322C22—216no—
2323C22—232no—
2324C22—4448no—
2325C22—4896no—
2326C22—4448no—
2327C22—4896no—
2328C22—416no—
2329C22—48no—
2330C22—48no—
2331C22—416no—
2332C22—48no—
2333C22—416no—
2334C22—48no—
2335C22—416no—
2336C22—416no—
2337C22—416no—
2338C22—416no—
2339C22—416no—
2340C22—416no—
2341C22—416no—
2342C22—416no—
2343C22—416no—
2344C22—416no—
2345C22—416no—
2346C22—416no—
2347C22—416no—
2348C22—416no—
2349C22—416no—
2350C22—416no—
2351C22—416no—
2352C22—416no—
2353C22—416no—
2354C22—416no—
2355C22—416no—
2356C22—8512no—
2357C22—81024no—
2358C22—8512no—
2359C22—81024no—
2360C22—8448no—
2361C22—8448no—
2362C22C2×#405841448yesdirect product factor
2363C22C23×#534132yes—
2364C22C23×#534128yes—
2365C22C22×#3484156yes—
2366C22C22×#3532128yes—
2367C22C22×#3537156yes—
2368C22C22×#3543128yes—
2369C22C26×D411yescharacteristic
2370C22C24×H(5,𝔽2)12yes—
2371C22C24×H(5,𝔽2)12yes—
2372C22C24×H(5,𝔽2)11yescharacteristic
2373C22C24×H(5,𝔽2)11yescharacteristic
2374C4—232no—
2375C4—232no—
2376C4—416no—
2377C4—416no—
2378C4—416no—
2379C4—48no—
2380C4—48no—
2381C4—48no—
2382C4—48no—
2383C4—416no—
2384C4—416no—
2385C4—416no—
2386C2—232no—
2387C2—416no—
2388C2—432no—
2389C2—416no—
2390C2—432no—
2391C2—816no—
2392C2—816no—
2393C2C23×#348412yes—
2394C2C23×#353712yes—
2395C2C23×#353211yescharacteristic
2396C2C24×#53411yescharacteristic
2397C2C22×#40584156yesdirect product factor
2398C2C23×#354311yescharacteristic
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×#2812C2semidirect
2. C23×#2600C2semidirect
3. C23×#2635C2semidirect
4. C23×#2444C2semidirect
5. C23×#2815C2semidirect
6. C23×#2688C2semidirect
7. C23×#2418C2semidirect
8. C23×#2673C2semidirect
9. C23×#2617C2semidirect
10. C23×#2308C2semidirect
11. C22×#40584C2direct (N × H)
12. C23×#2613C2semidirect
13. C23×#2669C2semidirect
14. C23×#2410C2semidirect
15. C23×#2410C2semidirect
16. C23×#2668C2semidirect
17. C24×#392C2semidirect
18. C23×#2403C2semidirect
19. C23×#2403C2semidirect
20. C24×D42C2semidirect
22. C26×D4C22semidirect
23. C26×D4C22semidirect
24. C26×D4C22semidirect
25. C26×D4C22semidirect
27. C23×D42C22semidirect
28. C24×#127C22semidirect
29. C24×#123C22semidirect
31. C24×#121C22semidirect
32. C24×#121C22semidirect
33. C24×#121C22semidirect
34. C24×#121C22semidirect
35. C24×#121C22semidirect
36. C24×#121C22semidirect
38. C24×#120C22semidirect
39. C24×#120C22semidirect
40. C24×#120C22semidirect
41. C24×#120C22semidirect
42. C24×#120C22semidirect
43. C24×#120C22semidirect
44. C24×#120C22semidirect
45. C24×C4×D4C22semidirect
46. C24×C4×D4C22semidirect
47. C25×C22⋊C4C22semidirect
48. C25×C22⋊C4C22semidirect
49. C25×C22⋊C4C22semidirect
50. C2×#40584C22direct (N × H)
51. C22×#2673C22semidirect
52. C22×#2669C22semidirect
53. C22×#2688C22semidirect
54. C22×#2668C22semidirect
55. C22×#2815C22semidirect
56. C22×#2812C22semidirect
57. C22×#2600C22semidirect
58. C22×#2444C22semidirect
59. C22×#2418C22semidirect
60. C22×#2410C22semidirect
61. C22×#2410C22semidirect
62. C22×#2403C22semidirect
63. C22×#2403C22semidirect
64. C22×#2635C22semidirect
65. C22×#2617C22semidirect
66. C22×#2613C22semidirect
67. C23×#400C22semidirect
68. C23×#399C22semidirect
69. C23×#397C22semidirect
70. C23×#397C22semidirect
71. C23×#397C22semidirect
72. C23×#397C22semidirect
73. C23×#397C22semidirect
74. C23×#394C22semidirect
75. C23×#394C22semidirect
76. C23×#394C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
80. C23×#394C22semidirect
81. C23×#394C22semidirect
82. C23×#394C22semidirect
84. C23×#392C22semidirect
85. C23×#392C22semidirect
86. C23×#392C22semidirect
87. C23×#392C22semidirect
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. C23×#392C22semidirect
100. C22×#2308C22semidirect
101. C23×#388C22semidirect
102. C23×#388C22semidirect
103. C23×#388C22semidirect
104. C23×#387C22semidirect
105. C23×#386C22semidirect
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×#385C22semidirect
119. C23×#385C22semidirect
120. C23×#381C22semidirect
121. C23×#381C22semidirect
122. C23×#381C22semidirect
123. C23×#380C22semidirect
124. C23×#379C22semidirect
125. C23×#379C22semidirect
126. C23×#379C22semidirect
127. C23×#379C22semidirect
128. C24×#95C22semidirect
146. C25×D4D4semidirect
168. C25×D4C23semidirect
169. C25×D4C23semidirect
170. C25×D4C23semidirect
171. C25×D4C23semidirect
180. C22×D42C23semidirect
182. C23×#127C23semidirect
184. C23×#123C23semidirect
193. C23×#121C23semidirect
194. C23×#121C23semidirect
195. C23×#121C23semidirect
196. C23×#121C23semidirect
197. C23×#121C23semidirect
198. C23×#121C23semidirect
208. C23×#120C23semidirect
209. C23×#120C23semidirect
210. C23×#120C23semidirect
211. C23×#120C23semidirect
212. C23×#120C23semidirect
213. C23×#120C23semidirect
214. C23×#120C23semidirect
217. C23×C4×D4C23semidirect
218. C23×C4×D4C23semidirect
262. C24×C22⋊C4C23semidirect
263. C24×C22⋊C4C23semidirect
264. C24×C22⋊C4C23semidirect
266. C2×#2688C23semidirect
267. C2×#2673C23semidirect
268. C2×#2669C23semidirect
269. C2×#2668C23semidirect
270. #40584C23direct (N × H)
271. C2×#2815C23semidirect
272. C2×#2812C23semidirect
273. C2×#2600C23semidirect
274. C2×#2444C23semidirect
275. C2×#2418C23semidirect
276. C2×#2410C23semidirect
277. C2×#2410C23semidirect
278. C2×#2403C23semidirect
279. C2×#2403C23semidirect
280. C2×#2635C23semidirect
281. C2×#2617C23semidirect
282. C2×#2613C23semidirect
283. C22×#400C23semidirect
284. C22×#399C23semidirect
285. C22×#397C23semidirect
286. C22×#397C23semidirect
287. C22×#397C23semidirect
288. C22×#397C23semidirect
289. C22×#397C23semidirect
290. C22×#394C23semidirect
291. C22×#394C23semidirect
292. C22×#394C23semidirect
293. C22×#394C23semidirect
294. C22×#394C23semidirect
295. C22×#394C23semidirect
296. C22×#394C23semidirect
297. C22×#394C23semidirect
298. C22×#394C23semidirect
300. C22×#392C23semidirect
301. C22×#392C23semidirect
302. C22×#392C23semidirect
303. C22×#392C23semidirect
304. C22×#392C23semidirect
305. C22×#392C23semidirect
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. C22×#392C23semidirect
315. C22×#392C23semidirect
316. C2×#2308C23semidirect
317. C22×#388C23semidirect
318. C22×#388C23semidirect
319. C22×#388C23semidirect
320. C22×#387C23semidirect
321. C22×#386C23semidirect
322. C22×#386C23semidirect
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×#385C23semidirect
335. C22×#385C23semidirect
336. C22×#381C23semidirect
337. C22×#381C23semidirect
338. C22×#381C23semidirect
339. C22×#380C23semidirect
340. C22×#379C23semidirect
341. C22×#379C23semidirect
342. C22×#379C23semidirect
343. C22×#379C23semidirect
359. C23×#95C23semidirect
383. C27C2×D4semidirect
469. C24×D4C2×D4semidirect
470. C24×D4C2×D4semidirect
492. C24×D4C24semidirect
493. C24×D4C24semidirect
494. C24×D4C24semidirect
495. C24×D4C24semidirect
514. C25×C4C2×D4semidirect
535. C2×D42C24semidirect
537. C22×#127C24semidirect
539. C22×#123C24semidirect
548. C22×#121C24semidirect
549. C22×#121C24semidirect
550. C22×#121C24semidirect
551. C22×#121C24semidirect
552. C22×#121C24semidirect
553. C22×#121C24semidirect
563. C22×#120C24semidirect
564. C22×#120C24semidirect
565. C22×#120C24semidirect
566. C22×#120C24semidirect
567. C22×#120C24semidirect
568. C22×#120C24semidirect
569. C22×#120C24semidirect
572. C22×C4×D4C24semidirect
573. C22×C4×D4C24semidirect
657. C23×C22⋊C4C24semidirect
658. C23×C22⋊C4C24semidirect
659. C23×C22⋊C4C24semidirect
662. #2815C24semidirect
663. #2812C24semidirect
664. #2688C24semidirect
665. #2673C24semidirect
666. #2669C24semidirect
667. #2668C24semidirect
668. #2635C24semidirect
669. #2617C24semidirect
670. #2613C24semidirect
671. #2600C24semidirect
672. #2444C24semidirect
673. #2418C24semidirect
674. #2410C24semidirect
675. #2410C24semidirect
676. #2403C24semidirect
677. #2403C24semidirect
678. C2×#400C24semidirect
679. C2×#399C24semidirect
680. C2×#397C24semidirect
681. C2×#397C24semidirect
682. C2×#397C24semidirect
683. C2×#397C24semidirect
684. C2×#397C24semidirect
685. C2×#394C24semidirect
686. C2×#394C24semidirect
687. C2×#394C24semidirect
688. C2×#394C24semidirect
689. C2×#394C24semidirect
690. C2×#394C24semidirect
691. C2×#394C24semidirect
692. C2×#394C24semidirect
693. C2×#394C24semidirect
695. C2×#392C24semidirect
696. C2×#392C24semidirect
697. C2×#392C24semidirect
698. C2×#392C24semidirect
699. C2×#392C24semidirect
700. C2×#392C24semidirect
701. C2×#392C24semidirect
702. C2×#392C24semidirect
703. C2×#392C24semidirect
704. C2×#392C24semidirect
705. C2×#392C24semidirect
706. C2×#392C24semidirect
707. C2×#392C24semidirect
708. C2×#392C24semidirect
709. C2×#392C24semidirect
710. C2×#392C24semidirect
711. #2308C24semidirect
712. C2×#388C24semidirect
713. C2×#388C24semidirect
714. C2×#388C24semidirect
715. C2×#387C24semidirect
716. C2×#386C24semidirect
717. C2×#386C24semidirect
718. C2×#386C24semidirect
719. C2×#386C24semidirect
720. C2×#386C24semidirect
721. C2×#386C24semidirect
722. C2×#386C24semidirect
723. C2×#386C24semidirect
724. C2×#386C24semidirect
725. C2×#386C24semidirect
726. C2×#386C24semidirect
727. C2×#386C24semidirect
728. C2×#386C24semidirect
729. C2×#385C24semidirect
730. C2×#385C24semidirect
731. C2×#381C24semidirect
732. C2×#381C24semidirect
733. C2×#381C24semidirect
734. C2×#380C24semidirect
735. C2×#379C24semidirect
736. C2×#379C24semidirect
737. C2×#379C24semidirect
738. C2×#379C24semidirect
754. C22×#95C24semidirect
842. C26C22×D4semidirect
952. C23×D4C22×D4semidirect
953. C23×D4C22×D4semidirect
975. C23×D4C25semidirect
976. C23×D4C25semidirect
977. C23×D4C25semidirect
978. C23×D4C25semidirect
1035. C24×C4C22×D4semidirect
1058. C2×#127C25semidirect
1060. C2×#123C25semidirect
1069. C2×#121C25semidirect
1070. C2×#121C25semidirect
1071. C2×#121C25semidirect
1072. C2×#121C25semidirect
1073. C2×#121C25semidirect
1074. C2×#121C25semidirect
1084. C2×#120C25semidirect
1085. C2×#120C25semidirect
1086. C2×#120C25semidirect
1087. C2×#120C25semidirect
1088. C2×#120C25semidirect
1089. C2×#120C25semidirect
1090. C2×#120C25semidirect
1093. C2×C4×D4C25semidirect
1094. C2×C4×D4C25semidirect
1178. C22×C22⋊C4C25semidirect
1179. C22×C22⋊C4C25semidirect
1180. C22×C22⋊C4C25semidirect
1183. #400C25semidirect
1184. #399C25semidirect
1185. #397C25semidirect
1186. #397C25semidirect
1187. #397C25semidirect
1188. #397C25semidirect
1189. #397C25semidirect
1190. #394C25semidirect
1191. #394C25semidirect
1192. #394C25semidirect
1193. #394C25semidirect
1194. #394C25semidirect
1195. #394C25semidirect
1196. #394C25semidirect
1197. #394C25semidirect
1198. #394C25semidirect
1200. #392C25semidirect
1201. #392C25semidirect
1202. #392C25semidirect
1203. #392C25semidirect
1204. #392C25semidirect
1205. #392C25semidirect
1206. #392C25semidirect
1207. #392C25semidirect
1208. #392C25semidirect
1209. #392C25semidirect
1210. #392C25semidirect
1211. #392C25semidirect
1212. #392C25semidirect
1213. #392C25semidirect
1214. #392C25semidirect
1215. #388C25semidirect
1216. #388C25semidirect
1217. #388C25semidirect
1218. #387C25semidirect
1219. #386C25semidirect
1220. #386C25semidirect
1221. #386C25semidirect
1222. #386C25semidirect
1223. #386C25semidirect
1224. #386C25semidirect
1225. #386C25semidirect
1226. #386C25semidirect
1227. #386C25semidirect
1228. #386C25semidirect
1229. #386C25semidirect
1230. #386C25semidirect
1231. #386C25semidirect
1232. #385C25semidirect
1233. #385C25semidirect
1234. #381C25semidirect
1235. #381C25semidirect
1236. #381C25semidirect
1237. #380C25semidirect
1238. #379C25semidirect
1239. #379C25semidirect
1240. #379C25semidirect
1241. #379C25semidirect
1257. C2×#95C25semidirect
1393. C25C23×D4semidirect
1507. C22×D4C23×D4semidirect
1508. C22×D4C23×D4semidirect
1597. C23×C4C23×D4semidirect
1884. C24C24×D4semidirect
1981. C2×D4C24×D4semidirect
2050. C22×C4C24×D4semidirect
2218. C23#40584direct (N × H)
2362. C22C2×#40584direct (N × H)
2397. C2C22×#40584direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#28122
C23×#26002
C23×#26352
C23×#24442
C23×#28152
C23×#26882
C23×#24182
C23×#26732
C23×#26172
C23×#23082
C22×#405842
C23×#26132
C23×#26692
C23×#24102
C23×#26682
C24×#3922
C23×#24032
C24×D422