Finite Group Databasebeta

← C23×#37693 #72339199

Subgroups — C23×#37693 #72339199

Order 2048.

1728536 conjugacy classes of subgroups.

The subgroup lattice has 2428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2481C212yesmaximal, complemented
2C23×#2714C212yesmaximal, complemented
3C23×#2639C211yesmaximal, characteristic, complemented
4C23×#2444C212yesmaximal, complemented
5C23×#2703C212yesmaximal, complemented
6C24×#538C211yesmaximal, characteristic, complemented
7C23×#2688C212yesmaximal, complemented
8C23×#2848C211yesmaximal, characteristic, complemented
9C23×#2325C211yesmaximal, characteristic, complemented
10C23×#2412C212yesmaximal, complemented
11C23×#2472C212yesmaximal, complemented
12C23×#2676C212yesmaximal, complemented
13C23×#2617C211yesmaximal, characteristic, complemented
14C25×#121C211yesmaximal, characteristic, complemented
15C24×#386C211yesmaximal, characteristic, complemented
16C22×#37693C21224yesmaximal, direct product factor
17C23×#2424C212yesmaximal, complemented
18C23×D4×C22⋊C4C212yesmaximal, complemented
19C23×#2410C212yesmaximal, complemented
20C23×#2403C212yesmaximal, complemented
21C26×D4C2212yes—
22C26×D4C2211yescharacteristic
23C26×D4C2211yescharacteristic, complemented
24C27×C4C2211yescharacteristic
25C23×#538—264no—
26C23×#538C221112yescomplemented
27C24×#126C2212yescomplemented
28C24×#124C2212yescomplemented
29C24×#123C2212yescomplemented
30C24×C22⋊Q8C2211yescharacteristic, complemented
31C24×C22⋊Q8C2211yescharacteristic, complemented
32C24×C22⋊Q8C2211yescharacteristic, complemented
33C24×#121—264no—
34C24×#121C2212yes—
35C24×#121C2211yescharacteristic
36C24×#121C2211yescharacteristic
37C24×#121C2212yescomplemented
38C24×#121C2212yescomplemented
39C24×#121C2211yescharacteristic, complemented
40C24×#121C2211yescharacteristic, complemented
41C24×#121C2212yescomplemented
42C24×#121C221112yescomplemented
43C24×#120C2212yes—
44C24×#120C2212yes—
45C24×#120C2212yescomplemented
46C24×#120C2212yescomplemented
47C24×C4×D4C2212yescomplemented
48C24×C4×D4C2212yescomplemented
49C25×C4⋊C4C2211yescharacteristic, complemented
50C25×C22⋊C4C2211yescharacteristic
51C25×C22⋊C4C2211yescharacteristic, complemented
52C25×C22⋊C4C2212yescomplemented
53C25×C22⋊C4C2212yescomplemented
54C25×C22⋊C4C2211yescharacteristic, complemented
55C2×#37693C2217168yesdirect product factor
56C22×#2703C221224yescomplemented
57C22×#2676C221224yescomplemented
58C22×#2714C221224yescomplemented
59C22×#2688C221224yescomplemented
60C22×#2848C221112yescomplemented
61C22×#2444C221224yescomplemented
62C22×#2481C221224yescomplemented
63C22×#2472C221224yescomplemented
64C22×#2412C221224yescomplemented
65C22×#2424C221224yescomplemented
66C22×#2410C221224yescomplemented
67C22×#2403C221224yescomplemented
68C22×#2639C221112yescomplemented
69C22×#2617C221112yescomplemented
70C23×#400C2212yescomplemented
71C23×#400C2212yescomplemented
72C23×#397C2212yescomplemented
73C23×#397C2212yescomplemented
74C23×#397C2212yescomplemented
75C23×#397C2212yescomplemented
76C23×#396C2212yescomplemented
77C23×#394C2212yescomplemented
78C23×#394C2212yescomplemented
79C23×#394C2212yescomplemented
80C23×#394C2212yescomplemented
81C23×#394C2212yescomplemented
82C23×#394C2212yescomplemented
83C23×#393C2212yescomplemented
84C23×#392C2212yescomplemented
85C23×#392C2212yescomplemented
86C23×#392C2212yescomplemented
87C23×#392C2212yescomplemented
88C23×#392C2212yescomplemented
89C23×#392C2212yescomplemented
90C22×D4×C22⋊C4C221224yescomplemented
91C22×#2325C221112yescomplemented
92C23×#390C2212yescomplemented
93C23×#390C2212yescomplemented
94C23×#390C2212yescomplemented
95C23×#388C2212yescomplemented
96C23×#388C2212yescomplemented
97C23×#388C2212yescomplemented
98C23×#387C2212yescomplemented
99C23×#387C2212yescomplemented
100C23×#386C2212yes—
101C23×#386C2212yes—
102C23×#386C2212yes—
103C23×#386C2212yes—
104C23×#386C2212yescomplemented
105C23×#386C2212yescomplemented
106C23×#386C2212yescomplemented
107C23×#386C2212yescomplemented
108C23×#386C2212yescomplemented
109C23×#386C2212yescomplemented
110C23×#386C2212yescomplemented
111C23×#386C2212yescomplemented
112C23×#386C2212yescomplemented
113C23×#386C2212yescomplemented
114C23×#386C2212yescomplemented
115C23×#386C221112yescomplemented
116C23×#385C2212yescomplemented
117C23×#385C2212yescomplemented
118C23×#385C2212yescomplemented
119C23×#385C2212yescomplemented
120C23×#381C2212yescomplemented
121C23×#380C2212yescomplemented
122C23×#380C2211yescharacteristic, complemented
123C23×#380C2211yescharacteristic, complemented
124C23×#380C2211yescharacteristic, complemented
125C23×#379C2212yes—
126C23×#379C2212yescomplemented
127C23×C4×C22⋊C4C2212yescomplemented
128C24×#95C2211yescharacteristic, complemented
129C24×#95C2211yescharacteristic, complemented
130C28C2312yes—
131C28C2311yescharacteristic
132C28C2311yescharacteristic
133C25×Q8C2311yescharacteristic
134C25×D4—264no—
135C25×D4—232no—
136C25×D4—264no—
137C25×D4—232no—
138C25×D4—416no—
139C25×D4—416no—
140C25×D4—432no—
141C25×D4—416no—
142C25×D4—416no—
143C25×D4C2312yes—
144C25×D4C2312yes—
145C25×D4C2312yes—
146C25×D4C2312yes—
147C25×D4C2312yes—
148C25×D4C231112yes—
149C25×D4C2312yes—
150C25×D4C23156yes—
151C25×D4C2312yes—
152C25×D4C2312yes—
153C25×D4C2312yes—
154C25×D4C2311yescharacteristic
155C25×D4C2312yes—
156C25×D4C2312yes—
157C25×D4C2311yescharacteristic
158C25×D4C23156yescomplemented
159C26×C4—232no—
160C26×C4—416no—
161C26×C4—416no—
162C26×C4C2311yescharacteristic
163C26×C4C2311yescharacteristic
164C26×C4C2312yes—
165C26×C4C2311yescharacteristic
166C26×C4C2311yescharacteristic
167C26×C4C2312yes—
168C26×C4C2311yescharacteristic
169C26×C4C2311yescharacteristic
170C26×C4C2311yescharacteristic
171C26×C4C2311yescharacteristic
172C26×C4C23156yes—
173C26×C4C2312yes—
174C26×C4C2311yescharacteristic
175C22×#538—23584no—
176C22×#538C2311792yescomplemented
177C23×#126—264no—
178C23×#126C231112yescomplemented
179C23×#124—264no—
180C23×#124C231112yescomplemented
181C23×#123—264no—
182C23×#123C231112yescomplemented
183C23×C22⋊Q8—232no—
184C23×C22⋊Q8—416no—
185C23×C22⋊Q8—416no—
186C23×C22⋊Q8C23156yescomplemented
187C23×C22⋊Q8C23156yescomplemented
188C23×C22⋊Q8C23156yescomplemented
189C23×#121—23584no—
190C23×#121—232no—
191C23×#121—264no—
192C23×#121—264no—
193C23×#121—232no—
194C23×#121—264no—
195C23×#121—232no—
196C23×#121—432no—
197C23×#121D4164yescomplemented
198C23×#121C231112yes—
199C23×#121C23156yes—
200C23×#121C23156yes—
201C23×#121C23156yescomplemented
202C23×#121C231112yescomplemented
203C23×#121C23156yescomplemented
204C23×#121C231112yescomplemented
205C23×#121C231112yescomplemented
206C23×#121C2311792yescomplemented
207C23×#120—264no—
208C23×#120—432no—
209C23×#120—432no—
210C23×#120—432no—
211C23×#120C231112yes—
212C23×#120C231112yes—
213C23×#120C231112yescomplemented
214C23×#120C231112yescomplemented
215C23×C4×D4—264no—
216C23×C4×D4—432no—
217C23×C4×D4C231112yescomplemented
218C23×C4×D4C231112yescomplemented
219C24×C4⋊C4—232no—
220C24×C4⋊C4C2311yescharacteristic
221C24×C4⋊C4C2312yes—
222C24×C4⋊C4C2312yes—
223C24×C4⋊C4C2311yescharacteristic
224C24×C4⋊C4C2312yes—
225C24×C4⋊C4C2312yes—
226C24×C4⋊C4C2311yescharacteristic
227C24×C4⋊C4C2311yescharacteristic
228C24×C4⋊C4C2312yes—
229C24×C4⋊C4C2312yes—
230C24×C4⋊C4C2311yescharacteristic
231C24×C4⋊C4C23156yescomplemented
232C24×C22⋊C4—264no—
233C24×C22⋊C4—232no—
234C24×C22⋊C4—416no—
235C24×C22⋊C4—416no—
236C24×C22⋊C4—432no—
237C24×C22⋊C4C2312yes—
238C24×C22⋊C4C2312yes—
239C24×C22⋊C4C2312yes—
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⋊C4C2312yes—
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⋊C4C23156yes—
259C24×C22⋊C4C2312yes—
260C24×C22⋊C4C2312yes—
261C24×C22⋊C4C2312yes—
262C24×C22⋊C4C2312yes—
263C24×C22⋊C4C2312yes—
264C24×C22⋊C4C2312yes—
265C24×C22⋊C4C2312yes—
266C24×C22⋊C4C2312yes—
267C24×C22⋊C4C2312yes—
268C24×C22⋊C4C23156yescomplemented
269C24×C22⋊C4C231112yescomplemented
270C24×C22⋊C4C23156yescomplemented
271C24×C22⋊C4C231112yescomplemented
272C24×C42C2312yes—
273C24×C42C2312yes—
274C2×#2714C2313584yescomplemented
275C2×#2703C2313584yescomplemented
276C2×#2688C2313584yescomplemented
277C2×#2676C2313584yescomplemented
278#37693C23132768yesdirect product factor
279C2×#2848C2311792yescomplemented
280C2×#2444C2313584yescomplemented
281C2×#2481C2313584yescomplemented
282C2×#2472C2313584yescomplemented
283C2×#2412C2313584yescomplemented
284C2×#2424C2313584yescomplemented
285C2×#2410C2313584yescomplemented
286C2×#2403C2313584yescomplemented
287C2×#2639C2311792yescomplemented
288C2×#2617C2311792yescomplemented
289C22×#400C231112yescomplemented
290C22×#400C231112yescomplemented
291C22×#397C231112yescomplemented
292C22×#397C231112yescomplemented
293C22×#397C231112yescomplemented
294C22×#397C231112yescomplemented
295C22×#396C231112yescomplemented
296C22×#394C231112yescomplemented
297C22×#394C231112yescomplemented
298C22×#394C231112yescomplemented
299C22×#394C231112yescomplemented
300C22×#394C231112yescomplemented
301C22×#394C231112yescomplemented
302C22×#393C231112yescomplemented
303C22×#392C231112yescomplemented
304C22×#392C231112yescomplemented
305C22×#392C231112yescomplemented
306C22×#392C231112yescomplemented
307C22×#392C231112yescomplemented
308C22×#392C231112yescomplemented
309C2×D4×C22⋊C4C2313584yescomplemented
310C2×#2325C2311792yescomplemented
311C22×#390C231112yescomplemented
312C22×#390C231112yescomplemented
313C22×#390C231112yescomplemented
314C22×#388C231112yescomplemented
315C22×#388C231112yescomplemented
316C22×#388C231112yescomplemented
317C22×#387C231112yescomplemented
318C22×#387C231112yescomplemented
319C22×#386C231112yes—
320C22×#386C231112yes—
321C22×#386C231112yes—
322C22×#386C231112yes—
323C22×#386C231112yescomplemented
324C22×#386C231112yescomplemented
325C22×#386C231112yescomplemented
326C22×#386C231112yescomplemented
327C22×#386C231112yescomplemented
328C22×#386C231112yescomplemented
329C22×#386C231112yescomplemented
330C22×#386C231112yescomplemented
331C22×#386C231112yescomplemented
332C22×#386C231112yescomplemented
333C22×#386C231112yescomplemented
334C22×#386C2311792yescomplemented
335C22×#385C231112yescomplemented
336C22×#385C231112yescomplemented
337C22×#385C231112yescomplemented
338C22×#385C231112yescomplemented
339C22×#381C231112yescomplemented
340C22×#380C23156yescomplemented
341C22×#380C231112yescomplemented
342C22×#380C23156yescomplemented
343C22×#380C23156yescomplemented
344C22×#379C231112yes—
345C22×#379C231112yescomplemented
346C22×C4×C22⋊C4C231112yescomplemented
347C23×#95C2312yes—
348C23×#95C2312yes—
349C23×#95C2312yes—
350C23×#95C2312yes—
351C23×#95C2312yes—
352C23×#95C2312yes—
353C23×#95C2312yes—
354C23×#95C2312yes—
355C23×#95C2312yes—
356C23×#95C2312yes—
357C23×#95C2312yes—
358C23×#95C2312yes—
359C23×#95C2312yes—
360C23×#95C2312yes—
361C23×#95C2312yes—
362C23×#95C23156yescomplemented
363C23×#95C23156yescomplemented
364C27—216no—
365C27—216no—
366C27—216no—
367C27—216no—
368C27—232no—
369C27—216no—
370C27—232no—
371C27—232no—
372C27—232no—
373C27—216no—
374C27—216no—
375C27—48no—
376C27—48no—
377C27—416no—
378C27—48no—
379C27—48no—
380C27—416no—
381C27—48no—
382C27—416no—
383C27—48no—
384C27#41132yes—
385C27C2412yes—
386C27C2412yes—
387C27C2412yes—
388C27C2411yescharacteristic
389C27C24156yes—
390C27C24128yes—
391C27C2411yescharacteristic
392C27C2411yescharacteristic
393C27C24128yes—
394C24×Q8—216no—
395C24×Q8—48no—
396C24×Q8—48no—
397C24×Q8C24128yes—
398C24×D4—232no—
399C24×D4—232no—
400C24×D4—232no—
401C24×D4—232no—
402C24×D4—232no—
403C24×D4—232no—
404C24×D4—21792no—
405C24×D4—232no—
406C24×D4—232no—
407C24×D4—2896no—
408C24×D4—232no—
409C24×D4—232no—
410C24×D4—232no—
411C24×D4—232no—
412C24×D4—232no—
413C24×D4—232no—
414C24×D4—232no—
415C24×D4—21792no—
416C24×D4—2896no—
417C24×D4—216no—
418C24×D4—232no—
419C24×D4—232no—
420C24×D4—4448no—
421C24×D4—48no—
422C24×D4—48no—
423C24×D4—416no—
424C24×D4—48no—
425C24×D4—48no—
426C24×D4—416no—
427C24×D4—416no—
428C24×D4—416no—
429C24×D4—416no—
430C24×D4—4448no—
431C24×D4—41024no—
432C24×D4—416no—
433C24×D4—416no—
434C24×D4—416no—
435C24×D4—416no—
436C24×D4—416no—
437C24×D4—416no—
438C24×D4—416no—
439C24×D4—416no—
440C24×D4—416no—
441C24×D4—416no—
442C24×D4—4896no—
443C24×D4—4448no—
444C24×D4—4448no—
445C24×D4—42048no—
446C24×D4—41024no—
447C24×D4C2×D4164yes—
448C24×D4C2×D4132yescomplemented
449C24×D4C24156yes—
450C24×D4C24156yes—
451C24×D4C241896yes—
452C24×D4C24156yes—
453C24×D4C24156yes—
454C24×D4C24156yes—
455C24×D4C24156yes—
456C24×D4C241448yes—
457C24×D4C24156yes—
458C24×D4C24128yes—
459C24×D4C24156yes—
460C24×D4C24156yes—
461C24×D4C24156yes—
462C24×D4C24156yes—
463C24×D4C24128yes—
464C24×D4C241448yescomplemented
465C25×C4—216no—
466C25×C4—216no—
467C25×C4—216no—
468C25×C4—216no—
469C25×C4—232no—
470C25×C4—216no—
471C25×C4—216no—
472C25×C4—216no—
473C25×C4—232no—
474C25×C4—216no—
475C25×C4—216no—
476C25×C4—216no—
477C25×C4—2896no—
478C25×C4—216no—
479C25×C4—232no—
480C25×C4—216no—
481C25×C4—216no—
482C25×C4—4448no—
483C25×C4—48no—
484C25×C4—48no—
485C25×C4—48no—
486C25×C4—48no—
487C25×C4—48no—
488C25×C4—48no—
489C25×C4—4448no—
490C25×C4—48no—
491C25×C4—416no—
492C25×C4—48no—
493C25×C4—48no—
494C25×C4—48no—
495C25×C4—416no—
496C25×C4—48no—
497C25×C4—48no—
498C25×C4—48no—
499C25×C4—416no—
500C25×C4—416no—
501C25×C4—416no—
502C25×C4—416no—
503C25×C4—41024no—
504C25×C4C2×D4132yes—
505C25×C4C24128yes—
506C25×C4C2411yescharacteristic
507C25×C4C2412yes—
508C25×C4C2412yes—
509C25×C4C2412yes—
510C25×C4C2412yes—
511C25×C4C2412yes—
512C25×C4C2412yes—
513C25×C4C2412yes—
514C25×C4C2412yes—
515C25×C4C24128yes—
516C25×C4C24128yes—
517C25×C4C24128yes—
518C25×C4C24156yes—
519C25×C4C2411yescharacteristic
520C25×C4C2411yescharacteristic
521C25×C4C2412yes—
522C25×C4C2411yescharacteristic
523C25×C4C241448yes—
524C25×C4C24128yes—
525C25×C4C24128yes—
526C25×C4C24128yes—
527C25×C4C24128yes—
528C25×C4C24156yes—
529C25×C4C24156yes—
530C25×C4C24128yes—
531C2×#538—228672no—
532C2×#538C2414096yescomplemented
533C22×#126—21792no—
534C22×#126C241896yescomplemented
535C22×#124—21792no—
536C22×#124C241896yescomplemented
537C22×#123—21792no—
538C22×#123C241896yescomplemented
539C22×C22⋊Q8—2896no—
540C22×C22⋊Q8—4448no—
541C22×C22⋊Q8—4448no—
542C22×C22⋊Q8C241448yescomplemented
543C22×C22⋊Q8C241448yescomplemented
544C22×C22⋊Q8C241448yescomplemented
545C22×#121—21792no—
546C22×#121—2896no—
547C22×#121—21792no—
548C22×#121—2896no—
549C22×#121—228672no—
550C22×#121—2896no—
551C22×#121—21792no—
552C22×#121—4896no—
553C22×#121C2×D411792yescomplemented
554C22×#121C241448yes—
555C22×#121C241896yes—
556C22×#121C241448yes—
557C22×#121C241896yescomplemented
558C22×#121C241896yescomplemented
559C22×#121C241448yescomplemented
560C22×#121C241448yescomplemented
561C22×#121C241896yescomplemented
562C22×#121C2414096yescomplemented
563C22×#120—21792no—
564C22×#120—4896no—
565C22×#120—4896no—
566C22×#120—4896no—
567C22×#120C241896yes—
568C22×#120C241896yes—
569C22×#120C241896yescomplemented
570C22×#120C241896yescomplemented
571C22×C4×D4—21792no—
572C22×C4×D4—4896no—
573C22×C4×D4C241896yescomplemented
574C22×C4×D4C241896yescomplemented
575C23×C4⋊C4—232no—
576C23×C4⋊C4—216no—
577C23×C4⋊C4—232no—
578C23×C4⋊C4—232no—
579C23×C4⋊C4—216no—
580C23×C4⋊C4—232no—
581C23×C4⋊C4—2896no—
582C23×C4⋊C4—416no—
583C23×C4⋊C4—48no—
584C23×C4⋊C4—48no—
585C23×C4⋊C4—416no—
586C23×C4⋊C4C2×D4132yescomplemented
587C23×C4⋊C4C24156yes—
588C23×C4⋊C4C24128yes—
589C23×C4⋊C4C24156yes—
590C23×C4⋊C4C24156yes—
591C23×C4⋊C4C24156yes—
592C23×C4⋊C4C24128yes—
593C23×C4⋊C4C24156yes—
594C23×C4⋊C4C24128yes—
595C23×C4⋊C4C24128yes—
596C23×C4⋊C4C24156yes—
597C23×C4⋊C4C24128yes—
598C23×C4⋊C4C241448yescomplemented
599C23×C22⋊C4—232no—
600C23×C22⋊C4—232no—
601C23×C22⋊C4—232no—
602C23×C22⋊C4—232no—
603C23×C22⋊C4—232no—
604C23×C22⋊C4—232no—
605C23×C22⋊C4—232no—
606C23×C22⋊C4—232no—
607C23×C22⋊C4—232no—
608C23×C22⋊C4—232no—
609C23×C22⋊C4—232no—
610C23×C22⋊C4—2896no—
611C23×C22⋊C4—232no—
612C23×C22⋊C4—232no—
613C23×C22⋊C4—232no—
614C23×C22⋊C4—21792no—
615C23×C22⋊C4—4448no—
616C23×C22⋊C4—4448no—
617C23×C22⋊C4—4896no—
618C23×C22⋊C4—416no—
619C23×C22⋊C4—416no—
620C23×C22⋊C4—416no—
621C23×C22⋊C4—416no—
622C23×C22⋊C4—416no—
623C23×C22⋊C4—416no—
624C23×C22⋊C4—416no—
625C23×C22⋊C4—416no—
626C23×C22⋊C4—416no—
627C23×C22⋊C4—416no—
628C23×C22⋊C4—416no—
629C23×C22⋊C4—416no—
630C23×C22⋊C4—416no—
631C23×C22⋊C4—416no—
632C23×C22⋊C4—416no—
633C23×C22⋊C4C2×D4164yescomplemented
634C23×C22⋊C4C24156yes—
635C23×C22⋊C4C24156yes—
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⋊C4C241448yes—
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⋊C4C24156yes—
658C23×C22⋊C4C24156yes—
659C23×C22⋊C4C24156yes—
660C23×C22⋊C4C24156yes—
661C23×C22⋊C4C24156yes—
662C23×C22⋊C4C24156yes—
663C23×C22⋊C4C24156yes—
664C23×C22⋊C4C24156yes—
665C23×C22⋊C4C241896yescomplemented
666C23×C22⋊C4C241448yescomplemented
667C23×C22⋊C4C241896yescomplemented
668C23×C22⋊C4C241448yescomplemented
669C23×C42—232no—
670C23×C42—416no—
671C23×C42C24156yes—
672C23×C42C24156yes—
673#2848C2414096yescomplemented
674#2714C2418192yescomplemented
675#2703C2418192yescomplemented
676#2688C2418192yescomplemented
677#2676C2418192yescomplemented
678#2639C2414096yescomplemented
679#2617C2414096yescomplemented
680#2481C2418192yescomplemented
681#2472C2418192yescomplemented
682#2444C2418192yescomplemented
683#2424C2418192yescomplemented
684#2412C2418192yescomplemented
685#2410C2418192yescomplemented
686#2403C2418192yescomplemented
687C2×#400C241896yescomplemented
688C2×#400C241896yescomplemented
689C2×#397C241896yescomplemented
690C2×#397C241896yescomplemented
691C2×#397C241896yescomplemented
692C2×#397C241896yescomplemented
693C2×#396C241896yescomplemented
694C2×#394C241896yescomplemented
695C2×#394C241896yescomplemented
696C2×#394C241896yescomplemented
697C2×#394C241896yescomplemented
698C2×#394C241896yescomplemented
699C2×#394C241896yescomplemented
700C2×#393C241896yescomplemented
701C2×#392C241896yescomplemented
702C2×#392C241896yescomplemented
703C2×#392C241896yescomplemented
704C2×#392C241896yescomplemented
705C2×#392C241896yescomplemented
706C2×#392C241896yescomplemented
707D4×C22⋊C4C2418192yescomplemented
708#2325C2414096yescomplemented
709C2×#390C241896yescomplemented
710C2×#390C241896yescomplemented
711C2×#390C241896yescomplemented
712C2×#388C241896yescomplemented
713C2×#388C241896yescomplemented
714C2×#388C241896yescomplemented
715C2×#387C241896yescomplemented
716C2×#387C241896yescomplemented
717C2×#386C241896yes—
718C2×#386C241896yes—
719C2×#386C241896yes—
720C2×#386C241896yes—
721C2×#386C241896yescomplemented
722C2×#386C241896yescomplemented
723C2×#386C241896yescomplemented
724C2×#386C241896yescomplemented
725C2×#386C241896yescomplemented
726C2×#386C241896yescomplemented
727C2×#386C241896yescomplemented
728C2×#386C241896yescomplemented
729C2×#386C241896yescomplemented
730C2×#386C241896yescomplemented
731C2×#386C241896yescomplemented
732C2×#386C2414096yescomplemented
733C2×#385C241896yescomplemented
734C2×#385C241896yescomplemented
735C2×#385C241896yescomplemented
736C2×#385C241896yescomplemented
737C2×#381C241896yescomplemented
738C2×#380C241448yescomplemented
739C2×#380C241448yescomplemented
740C2×#380C241448yescomplemented
741C2×#380C241896yescomplemented
742C2×#379C241896yes—
743C2×#379C241896yescomplemented
744C2×C4×C22⋊C4C241896yescomplemented
745C22×#95C24156yes—
746C22×#95C24156yes—
747C22×#95C24156yes—
748C22×#95C24156yes—
749C22×#95C24156yes—
750C22×#95C24156yes—
751C22×#95C24156yes—
752C22×#95C24156yes—
753C22×#95C24156yes—
754C22×#95C24156yes—
755C22×#95C24156yes—
756C22×#95C24156yes—
757C22×#95C24156yes—
758C22×#95C24156yes—
759C22×#95C24156yes—
760C22×#95C241448yescomplemented
761C22×#95C241448yescomplemented
762C26—28no—
763C26—28no—
764C26—28no—
765C26—28no—
766C26—28no—
767C26—28no—
768C26—28no—
769C26—28no—
770C26—2512no—
771C26—2512no—
772C26—2224no—
773C26—28no—
774C26—216no—
775C26—28no—
776C26—2224no—
777C26—28no—
778C26—216no—
779C26—216no—
780C26—216no—
781C26—2224no—
782C26—28no—
783C26—216no—
784C26—2224no—
785C26—28no—
786C26—216no—
787C26—28no—
788C26—2448no—
789C26—216no—
790C26—216no—
791C26—2224no—
792C26—216no—
793C26—216no—
794C26—216no—
795C26—216no—
796C26—216no—
797C26—216no—
798C26—216no—
799C26—216no—
800C26—216no—
801C26—216no—
802C26—216no—
803C26—216no—
804C26—2448no—
805C26—2448no—
806C26—2448no—
807C26—2224no—
808C26—2224no—
809C26—4112no—
810C26—4256no—
811C26—4112no—
812C26—4224no—
813C26—4112no—
814C26—4112no—
815C26—4224no—
816C26—4112no—
817C26—4224no—
818C26—4112no—
819C26—4256no—
820C26—4256no—
821C26—4256no—
822C26—4256no—
823C26—4512no—
824C26—4512no—
825C26—4512no—
826C26—4256no—
827C26—4256no—
828C26—4512no—
829C26—4256no—
830C26—8128no—
831C26—8128no—
832C26—8256no—
833C26—8256no—
834C26—8128no—
835C26—8128no—
836C26—8256no—
837C26C22×D4132yes—
838C26C22×D4116yes—
839C26C2×#41116yes—
840C26C2×#411448yes—
841C26C2×#41116yes—
842C26C2×#41116yes—
843C26H(5,𝔽2)116yes—
844C26H(5,𝔽2)116yes—
845C26H(5,𝔽2)116yes—
846C26C25128yes—
847C26C25128yes—
848C26C25128yes—
849C26C25114yes—
850C26C251224yes—
851C26C251112yes—
852C26C25114yes—
853C26C25114yes—
854C26C251112yes—
855C26C2511yescharacteristic
856C23×Q8—2224no—
857C23×Q8—4112no—
858C23×Q8—4112no—
859C23×Q8—8128no—
860C23×Q8C251112yes—
861C23×D4—21024no—
862C23×D4—2448no—
863C23×D4—2448no—
864C23×D4—2448no—
865C23×D4—2448no—
866C23×D4—2448no—
867C23×D4—2448no—
868C23×D4—27168no—
869C23×D4—2448no—
870C23×D4—2448no—
871C23×D4—23584no—
872C23×D4—2448no—
873C23×D4—2448no—
874C23×D4—2448no—
875C23×D4—2448no—
876C23×D4—2448no—
877C23×D4—2448no—
878C23×D4—2448no—
879C23×D4—27168no—
880C23×D4—23584no—
881C23×D4—2448no—
882C23×D4—2224no—
883C23×D4—2448no—
884C23×D4—41792no—
885C23×D4—4256no—
886C23×D4—4224no—
887C23×D4—4112no—
888C23×D4—4112no—
889C23×D4—4224no—
890C23×D4—4112no—
891C23×D4—4112no—
892C23×D4—4224no—
893C23×D4—4224no—
894C23×D4—4224no—
895C23×D4—41792no—
896C23×D4—4512no—
897C23×D4—4512no—
898C23×D4—414336no—
899C23×D4—4256no—
900C23×D4—4224no—
901C23×D4—4224no—
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—43584no—
911C23×D4—41792no—
912C23×D4—41792no—
913C23×D4—428672no—
914C23×D4—4512no—
915C23×D4—414336no—
916C23×D4—4512no—
917C23×D4—4512no—
918C23×D4—4512no—
919C23×D4—8256no—
920C23×D4—8256no—
921C23×D4—8256no—
922C23×D4—8256no—
923C23×D4C22×D41896yes—
924C23×D4C22×D41448yescomplemented
925C23×D4C251224yes—
926C23×D4C251224yes—
927C23×D4C2511024yes—
928C23×D4C251224yes—
929C23×D4C251224yes—
930C23×D4C251224yes—
931C23×D4C251224yes—
932C23×D4C251224yes—
933C23×D4C251512yes—
934C23×D4C251112yes—
935C23×D4C251224yes—
936C23×D4C251224yes—
937C23×D4C251224yes—
938C23×D4C251224yes—
939C23×D4C251112yes—
940C23×D4C251512yescomplemented
941C24×C4—2512no—
942C24×C4—28no—
943C24×C4—216no—
944C24×C4—2224no—
945C24×C4—28no—
946C24×C4—28no—
947C24×C4—28no—
948C24×C4—28no—
949C24×C4—28no—
950C24×C4—216no—
951C24×C4—2224no—
952C24×C4—2224no—
953C24×C4—28no—
954C24×C4—2224no—
955C24×C4—216no—
956C24×C4—216no—
957C24×C4—216no—
958C24×C4—216no—
959C24×C4—2448no—
960C24×C4—2224no—
961C24×C4—216no—
962C24×C4—216no—
963C24×C4—28no—
964C24×C4—28no—
965C24×C4—2224no—
966C24×C4—216no—
967C24×C4—216no—
968C24×C4—216no—
969C24×C4—216no—
970C24×C4—216no—
971C24×C4—216no—
972C24×C4—216no—
973C24×C4—216no—
974C24×C4—216no—
975C24×C4—216no—
976C24×C4—216no—
977C24×C4—216no—
978C24×C4—216no—
979C24×C4—216no—
980C24×C4—216no—
981C24×C4—216no—
982C24×C4—216no—
983C24×C4—216no—
984C24×C4—2224no—
985C24×C4—2448no—
986C24×C4—2224no—
987C24×C4—2224no—
988C24×C4—2224no—
989C24×C4—23584no—
990C24×C4—2224no—
991C24×C4—2448no—
992C24×C4—2224no—
993C24×C4—2224no—
994C24×C4—41792no—
995C24×C4—4256no—
996C24×C4—4112no—
997C24×C4—4112no—
998C24×C4—4112no—
999C24×C4—4112no—
1000C24×C4—4112no—
1001C24×C4—4112no—
1002C24×C4—4112no—
1003C24×C4—41792no—
1004C24×C4—4224no—
1005C24×C4—4112no—
1006C24×C4—4112no—
1007C24×C4—4256no—
1008C24×C4—4112no—
1009C24×C4—4224no—
1010C24×C4—4112no—
1011C24×C4—4112no—
1012C24×C4—4112no—
1013C24×C4—4224no—
1014C24×C4—4224no—
1015C24×C4—4224no—
1016C24×C4—4224no—
1017C24×C4—4256no—
1018C24×C4—4256no—
1019C24×C4—4512no—
1020C24×C4—414336no—
1021C24×C4—4256no—
1022C24×C4—4256no—
1023C24×C4—8128no—
1024C24×C4—8256no—
1025C24×C4—8128no—
1026C24×C4—8256no—
1027C24×C4C22×D4116yes—
1028C24×C4C22×D4116yes—
1029C24×C4C22×D4132yes—
1030C24×C4C22×D41448yes—
1031C24×C4H(5,𝔽2)116yes—
1032C24×C4C251112yes—
1033C24×C4C25114yes—
1034C24×C4C25128yes—
1035C24×C4C25128yes—
1036C24×C4C25128yes—
1037C24×C4C25128yes—
1038C24×C4C25128yes—
1039C24×C4C25128yes—
1040C24×C4C25128yes—
1041C24×C4C25128yes—
1042C24×C4C251112yes—
1043C24×C4C251112yes—
1044C24×C4C251112yes—
1045C24×C4C251224yes—
1046C24×C4C25114yes—
1047C24×C4C25114yes—
1048C24×C4C25128yes—
1049C24×C4C25114yes—
1050C24×C4C251512yes—
1051C24×C4C251112yes—
1052C24×C4C251112yes—
1053C24×C4C251112yes—
1054C24×C4C251112yes—
1055C24×C4C251224yes—
1056C24×C4C251224yes—
1057C24×C4C251112yes—
1058#538—232768no—
1059C2×#126—27168no—
1060C2×#126C2511024yescomplemented
1061C2×#124—27168no—
1062C2×#124C2511024yescomplemented
1063C2×#123—27168no—
1064C2×#123C2511024yescomplemented
1065C2×C22⋊Q8—23584no—
1066C2×C22⋊Q8—41792no—
1067C2×C22⋊Q8—41792no—
1068C2×C22⋊Q8C251512yescomplemented
1069C2×C22⋊Q8C251512yescomplemented
1070C2×C22⋊Q8C251512yescomplemented
1071C2×#121—27168no—
1072C2×#121—23584no—
1073C2×#121—27168no—
1074C2×#121—23584no—
1075C2×#121—232768no—
1076C2×#121—23584no—
1077C2×#121—27168no—
1078C2×#121—43584no—
1079C2×#121C22×D417168yescomplemented
1080C2×#121C251512yes—
1081C2×#121C2511024yes—
1082C2×#121C251512yes—
1083C2×#121C2511024yescomplemented
1084C2×#121C251512yescomplemented
1085C2×#121C251512yescomplemented
1086C2×#121C2511024yescomplemented
1087C2×#121C2511024yescomplemented
1088C2×#120—27168no—
1089C2×#120—43584no—
1090C2×#120—43584no—
1091C2×#120—43584no—
1092C2×#120C2511024yes—
1093C2×#120C2511024yes—
1094C2×#120C2511024yescomplemented
1095C2×#120C2511024yescomplemented
1096C2×C4×D4—27168no—
1097C2×C4×D4—43584no—
1098C2×C4×D4C2511024yescomplemented
1099C2×C4×D4C2511024yescomplemented
1100C22×C4⋊C4—2448no—
1101C22×C4⋊C4—2224no—
1102C22×C4⋊C4—2448no—
1103C22×C4⋊C4—2448no—
1104C22×C4⋊C4—2224no—
1105C22×C4⋊C4—2448no—
1106C22×C4⋊C4—23584no—
1107C22×C4⋊C4—4224no—
1108C22×C4⋊C4—4112no—
1109C22×C4⋊C4—4112no—
1110C22×C4⋊C4—4224no—
1111C22×C4⋊C4C22×D41448yescomplemented
1112C22×C4⋊C4C251224yes—
1113C22×C4⋊C4C251224yes—
1114C22×C4⋊C4C251224yes—
1115C22×C4⋊C4C251112yes—
1116C22×C4⋊C4C251112yes—
1117C22×C4⋊C4C251224yes—
1118C22×C4⋊C4C251112yes—
1119C22×C4⋊C4C251112yes—
1120C22×C4⋊C4C251224yes—
1121C22×C4⋊C4C251224yes—
1122C22×C4⋊C4C251112yes—
1123C22×C4⋊C4C251512yescomplemented
1124C22×C22⋊C4—2448no—
1125C22×C22⋊C4—2448no—
1126C22×C22⋊C4—2448no—
1127C22×C22⋊C4—2448no—
1128C22×C22⋊C4—2448no—
1129C22×C22⋊C4—2448no—
1130C22×C22⋊C4—2448no—
1131C22×C22⋊C4—2448no—
1132C22×C22⋊C4—2448no—
1133C22×C22⋊C4—2448no—
1134C22×C22⋊C4—2448no—
1135C22×C22⋊C4—23584no—
1136C22×C22⋊C4—2448no—
1137C22×C22⋊C4—2448no—
1138C22×C22⋊C4—2448no—
1139C22×C22⋊C4—27168no—
1140C22×C22⋊C4—41792no—
1141C22×C22⋊C4—41792no—
1142C22×C22⋊C4—43584no—
1143C22×C22⋊C4—4224no—
1144C22×C22⋊C4—4224no—
1145C22×C22⋊C4—4224no—
1146C22×C22⋊C4—4224no—
1147C22×C22⋊C4—4224no—
1148C22×C22⋊C4—4224no—
1149C22×C22⋊C4—4224no—
1150C22×C22⋊C4—4224no—
1151C22×C22⋊C4—4224no—
1152C22×C22⋊C4—4224no—
1153C22×C22⋊C4—4224no—
1154C22×C22⋊C4—4224no—
1155C22×C22⋊C4—4224no—
1156C22×C22⋊C4—4224no—
1157C22×C22⋊C4—4224no—
1158C22×C22⋊C4C22×D41896yescomplemented
1159C22×C22⋊C4C251224yes—
1160C22×C22⋊C4C251224yes—
1161C22×C22⋊C4C251224yes—
1162C22×C22⋊C4C251224yes—
1163C22×C22⋊C4C251224yes—
1164C22×C22⋊C4C251224yes—
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⋊C4C251512yes—
1174C22×C22⋊C4C251224yes—
1175C22×C22⋊C4C251224yes—
1176C22×C22⋊C4C251224yes—
1177C22×C22⋊C4C251224yes—
1178C22×C22⋊C4C251224yes—
1179C22×C22⋊C4C251224yes—
1180C22×C22⋊C4C251224yes—
1181C22×C22⋊C4C251224yes—
1182C22×C22⋊C4C251224yes—
1183C22×C22⋊C4C251224yes—
1184C22×C22⋊C4C251224yes—
1185C22×C22⋊C4C251224yes—
1186C22×C22⋊C4C251224yes—
1187C22×C22⋊C4C251224yes—
1188C22×C22⋊C4C251224yes—
1189C22×C22⋊C4C251224yes—
1190C22×C22⋊C4C251512yescomplemented
1191C22×C22⋊C4C2511024yescomplemented
1192C22×C22⋊C4C2511024yescomplemented
1193C22×C22⋊C4C251512yescomplemented
1194C22×C42—2448no—
1195C22×C42—4224no—
1196C22×C42C251224yes—
1197C22×C42C251224yes—
1198#400C2511024yescomplemented
1199#400C2511024yescomplemented
1200#397C2511024yescomplemented
1201#397C2511024yescomplemented
1202#397C2511024yescomplemented
1203#397C2511024yescomplemented
1204#396C2511024yescomplemented
1205#394C2511024yescomplemented
1206#394C2511024yescomplemented
1207#394C2511024yescomplemented
1208#394C2511024yescomplemented
1209#394C2511024yescomplemented
1210#394C2511024yescomplemented
1211#393C2511024yescomplemented
1212#392C2511024yescomplemented
1213#392C2511024yescomplemented
1214#392C2511024yescomplemented
1215#392C2511024yescomplemented
1216#392C2511024yescomplemented
1217#392C2511024yescomplemented
1218#390C2511024yescomplemented
1219#390C2511024yescomplemented
1220#390C2511024yescomplemented
1221#388C2511024yescomplemented
1222#388C2511024yescomplemented
1223#388C2511024yescomplemented
1224#387C2511024yescomplemented
1225#387C2511024yescomplemented
1226#386C2511024yes—
1227#386C2511024yes—
1228#386C2511024yes—
1229#386C2511024yes—
1230#386C2511024yescomplemented
1231#386C2511024yescomplemented
1232#386C2511024yescomplemented
1233#386C2511024yescomplemented
1234#386C2511024yescomplemented
1235#386C2511024yescomplemented
1236#386C2511024yescomplemented
1237#386C2511024yescomplemented
1238#386C2511024yescomplemented
1239#386C2511024yescomplemented
1240#386C2511024yescomplemented
1241#385C2511024yescomplemented
1242#385C2511024yescomplemented
1243#385C2511024yescomplemented
1244#385C2511024yescomplemented
1245#381C2511024yescomplemented
1246#380C251512yescomplemented
1247#380C251512yescomplemented
1248#380C251512yescomplemented
1249#380C2511024yescomplemented
1250#379C2511024yes—
1251#379C2511024yescomplemented
1252C4×C22⋊C4C2511024yescomplemented
1253C2×#95C251224yes—
1254C2×#95C251224yes—
1255C2×#95C251224yes—
1256C2×#95C251224yes—
1257C2×#95C251224yes—
1258C2×#95C251224yes—
1259C2×#95C251224yes—
1260C2×#95C251224yes—
1261C2×#95C251224yes—
1262C2×#95C251224yes—
1263C2×#95C251224yes—
1264C2×#95C251224yes—
1265C2×#95C251224yes—
1266C2×#95C251224yes—
1267C2×#95C251224yes—
1268C2×#95C251512yescomplemented
1269C2×#95C251512yescomplemented
1270C25—256no—
1271C25—256no—
1272C25—256no—
1273C25—256no—
1274C25—256no—
1275C25—256no—
1276C25—256no—
1277C25—256no—
1278C25—2128no—
1279C25—2128no—
1280C25—2128no—
1281C25—2128no—
1282C25—2128no—
1283C25—2128no—
1284C25—2128no—
1285C25—2128no—
1286C25—2128no—
1287C25—2128no—
1288C25—2128no—
1289C25—2128no—
1290C25—2448no—
1291C25—256no—
1292C25—2112no—
1293C25—256no—
1294C25—2448no—
1295C25—256no—
1296C25—2112no—
1297C25—2112no—
1298C25—2112no—
1299C25—2448no—
1300C25—256no—
1301C25—2112no—
1302C25—2448no—
1303C25—256no—
1304C25—256no—
1305C25—2112no—
1306C25—2128no—
1307C25—23584no—
1308C25—2256no—
1309C25—23584no—
1310C25—2128no—
1311C25—2256no—
1312C25—2256no—
1313C25—2128no—
1314C25—2112no—
1315C25—2896no—
1316C25—2112no—
1317C25—2448no—
1318C25—2112no—
1319C25—2112no—
1320C25—2112no—
1321C25—2112no—
1322C25—2112no—
1323C25—2112no—
1324C25—2112no—
1325C25—2112no—
1326C25—2112no—
1327C25—2112no—
1328C25—2112no—
1329C25—2112no—
1330C25—2896no—
1331C25—2896no—
1332C25—2896no—
1333C25—2448no—
1334C25—2448no—
1335C25—4224no—
1336C25—41792no—
1337C25—4224no—
1338C25—4224no—
1339C25—4448no—
1340C25—4224no—
1341C25—4224no—
1342C25—4448no—
1343C25—4224no—
1344C25—4448no—
1345C25—41792no—
1346C25—41792no—
1347C25—41792no—
1348C25—48192no—
1349C25—41792no—
1350C25—43584no—
1351C25—43584no—
1352C25—43584no—
1353C25—41792no—
1354C25—41792no—
1355C25—4128no—
1356C25—464no—
1357C25—464no—
1358C25—4128no—
1359C25—464no—
1360C25—4128no—
1361C25—4128no—
1362C25—464no—
1363C25—4128no—
1364C25—4128no—
1365C25—43584no—
1366C25—4128no—
1367C25—41792no—
1368C25—4128no—
1369C25—4128no—
1370C25—4128no—
1371C25—4128no—
1372C25—4128no—
1373C25—4128no—
1374C25—4128no—
1375C25—4128no—
1376C25—4128no—
1377C25—4128no—
1378C25—4128no—
1379C25—81792no—
1380C25—8896no—
1381C25—8896no—
1382C25—81792no—
1383C25—8896no—
1384C25—81792no—
1385C25—8896no—
1386C25—88192no—
1387C25—84096no—
1388C25#5381256yescomplemented
1389C25#5461256yes—
1390C25C23×D41224yes—
1391C25C23×D41112yes—
1392C25C23×D418yes—
1393C25C22×#411112yes—
1394C25C22×#411896yes—
1395C25C22×#411112yes—
1396C25C22×#411112yes—
1397C25C22×#4118yes—
1398C25C2×H(5,𝔽2)1112yes—
1399C25C2×H(5,𝔽2)1112yes—
1400C25C2×H(5,𝔽2)1112yes—
1401C25C2×H(5,𝔽2)18yes—
1402C25C2×H(5,𝔽2)18yes—
1403C25C2×H(5,𝔽2)18yes—
1404C25C2×H(5,𝔽2)18yes—
1405C25#58518yes—
1406C25C26156yes—
1407C25C26156yes—
1408C25C26156yes—
1409C25C26128yes—
1410C25C261128yes—
1411C25C26164yes—
1412C25C26128yes—
1413C25C26128yes—
1414C25C26164yes—
1415C25C2617yes—
1416C22×Q8—2448no—
1417C22×Q8—4224no—
1418C22×Q8—4224no—
1419C22×Q8—8896no—
1420C22×Q8C26164yes—
1421C22×D4—2896no—
1422C22×D4—2896no—
1423C22×D4—27168no—
1424C22×D4—2896no—
1425C22×D4—2896no—
1426C22×D4—2896no—
1427C22×D4—2896no—
1428C22×D4—24096no—
1429C22×D4—2896no—
1430C22×D4—2896no—
1431C22×D4—22048no—
1432C22×D4—2896no—
1433C22×D4—2896no—
1434C22×D4—2896no—
1435C22×D4—2896no—
1436C22×D4—2896no—
1437C22×D4—2896no—
1438C22×D4—2896no—
1439C22×D4—24096no—
1440C22×D4—22048no—
1441C22×D4—2896no—
1442C22×D4—2448no—
1443C22×D4—2896no—
1444C22×D4—41024no—
1445C22×D4—41792no—
1446C22×D4—4448no—
1447C22×D4—4224no—
1448C22×D4—4224no—
1449C22×D4—4448no—
1450C22×D4—4224no—
1451C22×D4—4224no—
1452C22×D4—4448no—
1453C22×D4—4448no—
1454C22×D4—4448no—
1455C22×D4—41024no—
1456C22×D4—43584no—
1457C22×D4—43584no—
1458C22×D4—428672no—
1459C22×D4—41792no—
1460C22×D4—4448no—
1461C22×D4—4448no—
1462C22×D4—4448no—
1463C22×D4—4448no—
1464C22×D4—4448no—
1465C22×D4—4448no—
1466C22×D4—4448no—
1467C22×D4—4448no—
1468C22×D4—4448no—
1469C22×D4—4448no—
1470C22×D4—42048no—
1471C22×D4—41024no—
1472C22×D4—41024no—
1473C22×D4—457344no—
1474C22×D4—43584no—
1475C22×D4—428672no—
1476C22×D4—43584no—
1477C22×D4—43584no—
1478C22×D4—43584no—
1479C22×D4—81792no—
1480C22×D4—81792no—
1481C22×D4—81792no—
1482C22×D4—81792no—
1483C22×D4C23×D411792yes—
1484C22×D4C23×D41896yescomplemented
1485C22×D4C261128yes—
1486C22×D4C261128yes—
1487C22×D4C261128yes—
1488C22×D4C261128yes—
1489C22×D4C261128yes—
1490C22×D4C261128yes—
1491C22×D4C261128yes—
1492C22×D4C261128yes—
1493C22×D4C26164yes—
1494C22×D4C261128yes—
1495C22×D4C261128yes—
1496C22×D4C261128yes—
1497C22×D4C26164yes—
1498C23×C4—23584no—
1499C23×C4—256no—
1500C23×C4—2112no—
1501C23×C4—256no—
1502C23×C4—256no—
1503C23×C4—2112no—
1504C23×C4—2448no—
1505C23×C4—256no—
1506C23×C4—256no—
1507C23×C4—256no—
1508C23×C4—2256no—
1509C23×C4—2128no—
1510C23×C4—2128no—
1511C23×C4—2128no—
1512C23×C4—2448no—
1513C23×C4—2448no—
1514C23×C4—256no—
1515C23×C4—2112no—
1516C23×C4—2112no—
1517C23×C4—2112no—
1518C23×C4—2112no—
1519C23×C4—2448no—
1520C23×C4—2896no—
1521C23×C4—2448no—
1522C23×C4—2112no—
1523C23×C4—2112no—
1524C23×C4—2112no—
1525C23×C4—2112no—
1526C23×C4—2112no—
1527C23×C4—2112no—
1528C23×C4—2112no—
1529C23×C4—2112no—
1530C23×C4—2112no—
1531C23×C4—2112no—
1532C23×C4—2112no—
1533C23×C4—2112no—
1534C23×C4—256no—
1535C23×C4—2112no—
1536C23×C4—2112no—
1537C23×C4—2112no—
1538C23×C4—2112no—
1539C23×C4—2112no—
1540C23×C4—256no—
1541C23×C4—2448no—
1542C23×C4—2112no—
1543C23×C4—2112no—
1544C23×C4—2112no—
1545C23×C4—2448no—
1546C23×C4—2896no—
1547C23×C4—2448no—
1548C23×C4—2448no—
1549C23×C4—2896no—
1550C23×C4—2448no—
1551C23×C4—22048no—
1552C23×C4—2448no—
1553C23×C4—2448no—
1554C23×C4—2448no—
1555C23×C4—41024no—
1556C23×C4—41792no—
1557C23×C4—4224no—
1558C23×C4—4224no—
1559C23×C4—4224no—
1560C23×C4—4224no—
1561C23×C4—4224no—
1562C23×C4—4224no—
1563C23×C4—4224no—
1564C23×C4—41024no—
1565C23×C4—4448no—
1566C23×C4—4224no—
1567C23×C4—4224no—
1568C23×C4—41792no—
1569C23×C4—4224no—
1570C23×C4—4224no—
1571C23×C4—4224no—
1572C23×C4—4448no—
1573C23×C4—4448no—
1574C23×C4—4448no—
1575C23×C4—4448no—
1576C23×C4—4224no—
1577C23×C4—4448no—
1578C23×C4—41792no—
1579C23×C4—41792no—
1580C23×C4—43584no—
1581C23×C4—428672no—
1582C23×C4—41792no—
1583C23×C4—41792no—
1584C23×C4—4128no—
1585C23×C4—4128no—
1586C23×C4—464no—
1587C23×C4—4128no—
1588C23×C4—4128no—
1589C23×C4—4128no—
1590C23×C4—4128no—
1591C23×C4—4128no—
1592C23×C4—4128no—
1593C23×C4—8896no—
1594C23×C4—8896no—
1595C23×C4—81792no—
1596C23×C4—81792no—
1597C23×C4C23×D41112yes—
1598C23×C4C23×D41224yes—
1599C23×C4C23×D41112yes—
1600C23×C4C23×D41896yes—
1601C23×C4C2×H(5,𝔽2)1112yes—
1602C23×C4C26156yes—
1603C23×C4C26156yes—
1604C23×C4C26156yes—
1605C23×C4C26156yes—
1606C23×C4C26156yes—
1607C23×C4C26156yes—
1608C23×C4C26128yes—
1609C23×C4C26156yes—
1610C23×C4C26156yes—
1611C23×C4C26164yes—
1612C23×C4C26164yes—
1613C23×C4C261128yes—
1614C23×C4C26164yes—
1615C23×C4C26164yes—
1616C23×C4C26128yes—
1617C23×C4C26156yes—
1618C23×C4C26128yes—
1619C23×C4C26128yes—
1620C23×C4C26164yes—
1621C23×C4C26164yes—
1622C23×C4C261128yes—
1623C23×C4C26164yes—
1624C23×C4C26164yes—
1625C23×C4C261128yes—
1626C23×C4C26164yes—
1627#126—24096no—
1628#124—24096no—
1629#123—24096no—
1630C22⋊Q8—22048no—
1631C22⋊Q8—41024no—
1632C22⋊Q8—41024no—
1633#121—24096no—
1634#121—22048no—
1635#121—24096no—
1636#121—22048no—
1637#121—22048no—
1638#121—24096no—
1639#121—42048no—
1640#121C23×D414096yescomplemented
1641#120—24096no—
1642#120—42048no—
1643#120—42048no—
1644#120—42048no—
1645C4×D4—24096no—
1646C4×D4—42048no—
1647C2×C4⋊C4—2896no—
1648C2×C4⋊C4—2448no—
1649C2×C4⋊C4—2896no—
1650C2×C4⋊C4—2896no—
1651C2×C4⋊C4—2448no—
1652C2×C4⋊C4—2896no—
1653C2×C4⋊C4—22048no—
1654C2×C4⋊C4—4448no—
1655C2×C4⋊C4—4224no—
1656C2×C4⋊C4—4224no—
1657C2×C4⋊C4—4448no—
1658C2×C4⋊C4C23×D41896yescomplemented
1659C2×C4⋊C4C261128yes—
1660C2×C4⋊C4C26164yes—
1661C2×C4⋊C4C261128yes—
1662C2×C4⋊C4C261128yes—
1663C2×C4⋊C4C261128yes—
1664C2×C4⋊C4C26164yes—
1665C2×C4⋊C4C261128yes—
1666C2×C4⋊C4C26164yes—
1667C2×C4⋊C4C26164yes—
1668C2×C4⋊C4C261128yes—
1669C2×C4⋊C4C26164yes—
1670C2×C22⋊C4—2896no—
1671C2×C22⋊C4—2896no—
1672C2×C22⋊C4—2896no—
1673C2×C22⋊C4—2896no—
1674C2×C22⋊C4—2896no—
1675C2×C22⋊C4—2896no—
1676C2×C22⋊C4—2896no—
1677C2×C22⋊C4—2896no—
1678C2×C22⋊C4—2896no—
1679C2×C22⋊C4—2896no—
1680C2×C22⋊C4—2896no—
1681C2×C22⋊C4—22048no—
1682C2×C22⋊C4—2896no—
1683C2×C22⋊C4—2896no—
1684C2×C22⋊C4—2896no—
1685C2×C22⋊C4—24096no—
1686C2×C22⋊C4—41024no—
1687C2×C22⋊C4—41024no—
1688C2×C22⋊C4—42048no—
1689C2×C22⋊C4—4448no—
1690C2×C22⋊C4—4448no—
1691C2×C22⋊C4—4448no—
1692C2×C22⋊C4—4448no—
1693C2×C22⋊C4—4448no—
1694C2×C22⋊C4—4448no—
1695C2×C22⋊C4—4448no—
1696C2×C22⋊C4—4448no—
1697C2×C22⋊C4—4448no—
1698C2×C22⋊C4—4448no—
1699C2×C22⋊C4—4448no—
1700C2×C22⋊C4—4448no—
1701C2×C22⋊C4—4448no—
1702C2×C22⋊C4—4448no—
1703C2×C22⋊C4—4448no—
1704C2×C22⋊C4C23×D411792yescomplemented
1705C2×C22⋊C4C261128yes—
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×C22⋊C4C261128yes—
1721C2×C22⋊C4C261128yes—
1722C2×C22⋊C4C261128yes—
1723C2×C22⋊C4C261128yes—
1724C2×C22⋊C4C261128yes—
1725C2×C22⋊C4C261128yes—
1726C2×C22⋊C4C261128yes—
1727C2×C22⋊C4C261128yes—
1728C2×C22⋊C4C261128yes—
1729C2×C22⋊C4C261128yes—
1730C2×C22⋊C4C261128yes—
1731C2×C22⋊C4C261128yes—
1732C2×C22⋊C4C261128yes—
1733C2×C22⋊C4C261128yes—
1734C2×C22⋊C4C261128yes—
1735C2×C42—2896no—
1736C2×C42—4448no—
1737C2×C42C261128yes—
1738C2×C42C261128yes—
1739#95C261128yes—
1740#95C261128yes—
1741#95C261128yes—
1742#95C261128yes—
1743#95C261128yes—
1744#95C261128yes—
1745#95C261128yes—
1746#95C261128yes—
1747#95C261128yes—
1748#95C261128yes—
1749#95C261128yes—
1750#95C261128yes—
1751#95C261128yes—
1752#95C261128yes—
1753#95C261128yes—
1754C24—2448no—
1755C24—2448no—
1756C24—2448no—
1757C24—2448no—
1758C24—2448no—
1759C24—2448no—
1760C24—2448no—
1761C24—2448no—
1762C24—22048no—
1763C24—22048no—
1764C24—2448no—
1765C24—2448no—
1766C24—256no—
1767C24—256no—
1768C24—256no—
1769C24—256no—
1770C24—256no—
1771C24—256no—
1772C24—256no—
1773C24—256no—
1774C24—2448no—
1775C24—2448no—
1776C24—2896no—
1777C24—2448no—
1778C24—2896no—
1779C24—2128no—
1780C24—256no—
1781C24—2112no—
1782C24—256no—
1783C24—2128no—
1784C24—256no—
1785C24—2112no—
1786C24—2112no—
1787C24—2112no—
1788C24—2128no—
1789C24—256no—
1790C24—2112no—
1791C24—2128no—
1792C24—256no—
1793C24—256no—
1794C24—2112no—
1795C24—2448no—
1796C24—23584no—
1797C24—2896no—
1798C24—23584no—
1799C24—2448no—
1800C24—2112no—
1801C24—2256no—
1802C24—2112no—
1803C24—2128no—
1804C24—2112no—
1805C24—2112no—
1806C24—2112no—
1807C24—2112no—
1808C24—2112no—
1809C24—2112no—
1810C24—2112no—
1811C24—2112no—
1812C24—2112no—
1813C24—2112no—
1814C24—2112no—
1815C24—2112no—
1816C24—2256no—
1817C24—2256no—
1818C24—2256no—
1819C24—2128no—
1820C24—2128no—
1821C24—464no—
1822C24—41792no—
1823C24—464no—
1824C24—464no—
1825C24—4128no—
1826C24—464no—
1827C24—464no—
1828C24—4128no—
1829C24—464no—
1830C24—4128no—
1831C24—41792no—
1832C24—428672no—
1833C24—41792no—
1834C24—41792no—
1835C24—41792no—
1836C24—43584no—
1837C24—43584no—
1838C24—43584no—
1839C24—41792no—
1840C24—41792no—
1841C24—4224no—
1842C24—4448no—
1843C24—4448no—
1844C24—4224no—
1845C24—4224no—
1846C24—4448no—
1847C24—41024no—
1848C24—42048no—
1849C24—4224no—
1850C24—4448no—
1851C24—4448no—
1852C24—4448no—
1853C24—4448no—
1854C24—4448no—
1855C24—4448no—
1856C24—4448no—
1857C24—4448no—
1858C24—4448no—
1859C24—4448no—
1860C24—4448no—
1861C24—4448no—
1862C24—4448no—
1863C24—43584no—
1864C24—4448no—
1865C24—41792no—
1866C24—4448no—
1867C24—81792no—
1868C24—8896no—
1869C24—8896no—
1870C24—81792no—
1871C24—8896no—
1872C24—81792no—
1873C24—8896no—
1874C24—828672no—
1875C24—814336no—
1876C24—81024no—
1877C24—81024no—
1878C24C2×#538164yes—
1879C24C2×#5381896yescomplemented
1880C24C2×#5461896yes—
1881C24C2×#546164yes—
1882C24#3484164yes—
1883C24#3488164yes—
1884C24#3505164yes—
1885C24#3534164yes—
1886C24#3537164yes—
1887C24C24×D41224yes—
1888C24C24×D41112yes—
1889C24C24×D4128yes—
1890C24C23×#411112yes—
1891C24C23×#411256yes—
1892C24C23×#411112yes—
1893C24C23×#411112yes—
1894C24C23×#41128yes—
1895C24C22×H(5,𝔽2)1112yes—
1896C24C22×H(5,𝔽2)1112yes—
1897C24C22×H(5,𝔽2)1112yes—
1898C24C22×H(5,𝔽2)128yes—
1899C24C22×H(5,𝔽2)128yes—
1900C24C22×H(5,𝔽2)128yes—
1901C24C22×H(5,𝔽2)128yes—
1902C24C2×#585128yes—
1903C24C27116yes—
1904C24C27116yes—
1905C24C27116yes—
1906C24C2718yes—
1907C24C2718yes—
1908C24C2718yes—
1909C24C2717yes—
1910C2×Q8—2128no—
1911C2×Q8—464no—
1912C2×Q8—464no—
1913C2×Q8—8896no—
1914C2×D4—2256no—
1915C2×D4—2256no—
1916C2×D4—27168no—
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—2256no—
1928C2×D4—2256no—
1929C2×D4—2256no—
1930C2×D4—2256no—
1931C2×D4—2128no—
1932C2×D4—2256no—
1933C2×D4—41792no—
1934C2×D4—4128no—
1935C2×D4—464no—
1936C2×D4—464no—
1937C2×D4—4128no—
1938C2×D4—464no—
1939C2×D4—464no—
1940C2×D4—4128no—
1941C2×D4—4128no—
1942C2×D4—4128no—
1943C2×D4—43584no—
1944C2×D4—43584no—
1945C2×D4—48192no—
1946C2×D4—41792no—
1947C2×D4—4128no—
1948C2×D4—4128no—
1949C2×D4—4128no—
1950C2×D4—4128no—
1951C2×D4—4128no—
1952C2×D4—4128no—
1953C2×D4—4128no—
1954C2×D4—4128no—
1955C2×D4—4128no—
1956C2×D4—4128no—
1957C2×D4—416384no—
1958C2×D4—43584no—
1959C2×D4—48192no—
1960C2×D4—43584no—
1961C2×D4—43584no—
1962C2×D4—43584no—
1963C2×D4—81792no—
1964C2×D4—81792no—
1965C2×D4—81792no—
1966C2×D4—81792no—
1967C2×D4C24×D41512yes—
1968C2×D4C24×D41256yescomplemented
1969C22×C4—23584no—
1970C22×C4—2448no—
1971C22×C4—2448no—
1972C22×C4—2448no—
1973C22×C4—256no—
1974C22×C4—2112no—
1975C22×C4—2112no—
1976C22×C4—256no—
1977C22×C4—256no—
1978C22×C4—2128no—
1979C22×C4—256no—
1980C22×C4—256no—
1981C22×C4—256no—
1982C22×C4—2896no—
1983C22×C4—2128no—
1984C22×C4—2128no—
1985C22×C4—2112no—
1986C22×C4—2112no—
1987C22×C4—256no—
1988C22×C4—2112no—
1989C22×C4—2112no—
1990C22×C4—2128no—
1991C22×C4—2256no—
1992C22×C4—2128no—
1993C22×C4—2112no—
1994C22×C4—2112no—
1995C22×C4—2112no—
1996C22×C4—2112no—
1997C22×C4—2112no—
1998C22×C4—2112no—
1999C22×C4—2112no—
2000C22×C4—2112no—
2001C22×C4—2112no—
2002C22×C4—2112no—
2003C22×C4—2112no—
2004C22×C4—2112no—
2005C22×C4—2112no—
2006C22×C4—256no—
2007C22×C4—2112no—
2008C22×C4—2112no—
2009C22×C4—2112no—
2010C22×C4—2112no—
2011C22×C4—256no—
2012C22×C4—2128no—
2013C22×C4—2112no—
2014C22×C4—2112no—
2015C22×C4—2112no—
2016C22×C4—2128no—
2017C22×C4—2256no—
2018C22×C4—2128no—
2019C22×C4—2128no—
2020C22×C4—2256no—
2021C22×C4—2128no—
2022C22×C4—2128no—
2023C22×C4—2128no—
2024C22×C4—2128no—
2025C22×C4—41792no—
2026C22×C4—464no—
2027C22×C4—464no—
2028C22×C4—464no—
2029C22×C4—464no—
2030C22×C4—464no—
2031C22×C4—464no—
2032C22×C4—464no—
2033C22×C4—4128no—
2034C22×C4—464no—
2035C22×C4—464no—
2036C22×C4—41792no—
2037C22×C4—464no—
2038C22×C4—464no—
2039C22×C4—464no—
2040C22×C4—4128no—
2041C22×C4—4128no—
2042C22×C4—4128no—
2043C22×C4—4128no—
2044C22×C4—464no—
2045C22×C4—4128no—
2046C22×C4—41792no—
2047C22×C4—41792no—
2048C22×C4—43584no—
2049C22×C4—48192no—
2050C22×C4—41792no—
2051C22×C4—41792no—
2052C22×C4—4448no—
2053C22×C4—4448no—
2054C22×C4—4448no—
2055C22×C4—4224no—
2056C22×C4—4448no—
2057C22×C4—4448no—
2058C22×C4—4448no—
2059C22×C4—4448no—
2060C22×C4—4448no—
2061C22×C4—8896no—
2062C22×C4—8896no—
2063C22×C4—81792no—
2064C22×C4—81792no—
2065C22×C4C24×D41224yes—
2066C22×C4C24×D41112yes—
2067C22×C4C24×D41112yes—
2068C22×C4C24×D41256yes—
2069C22×C4C22×H(5,𝔽2)1112yes—
2070C22×C4C27116yes—
2071C22×C4C27116yes—
2072C22×C4C27116yes—
2073C22×C4C27116yes—
2074C22×C4C27116yes—
2075C22×C4C27116yes—
2076C22×C4C27116yes—
2077C22×C4C2718yes—
2078C22×C4C27116yes—
2079C22×C4C2718yes—
2080C22×C4C27116yes—
2081C22×C4C2718yes—
2082C22×C4C2718yes—
2083C4⋊C4—2256no—
2084C4⋊C4—2128no—
2085C4⋊C4—2256no—
2086C4⋊C4—2256no—
2087C4⋊C4—2128no—
2088C4⋊C4—2256no—
2089C4⋊C4—4128no—
2090C4⋊C4—464no—
2091C4⋊C4—464no—
2092C4⋊C4—4128no—
2093C4⋊C4C24×D41256yescomplemented
2094C22⋊C4—2256no—
2095C22⋊C4—2256no—
2096C22⋊C4—2256no—
2097C22⋊C4—2256no—
2098C22⋊C4—2256no—
2099C22⋊C4—2256no—
2100C22⋊C4—2256no—
2101C22⋊C4—2256no—
2102C22⋊C4—2256no—
2103C22⋊C4—2256no—
2104C22⋊C4—2256no—
2105C22⋊C4—2256no—
2106C22⋊C4—2256no—
2107C22⋊C4—2256no—
2108C22⋊C4—4128no—
2109C22⋊C4—4128no—
2110C22⋊C4—4128no—
2111C22⋊C4—4128no—
2112C22⋊C4—4128no—
2113C22⋊C4—4128no—
2114C22⋊C4—4128no—
2115C22⋊C4—4128no—
2116C22⋊C4—4128no—
2117C22⋊C4—4128no—
2118C22⋊C4—4128no—
2119C22⋊C4—4128no—
2120C22⋊C4—4128no—
2121C22⋊C4—4128no—
2122C22⋊C4—4128no—
2123C22⋊C4C24×D41512yescomplemented
2124C42—2256no—
2125C42—4128no—
2126C23—23584no—
2127C23—23584no—
2128C23—2224no—
2129C23—2224no—
2130C23—2224no—
2131C23—2224no—
2132C23—2224no—
2133C23—2224no—
2134C23—2224no—
2135C23—2224no—
2136C23—2224no—
2137C23—2224no—
2138C23—2224no—
2139C23—2224no—
2140C23—28no—
2141C23—28no—
2142C23—28no—
2143C23—28no—
2144C23—28no—
2145C23—28no—
2146C23—28no—
2147C23—28no—
2148C23—2224no—
2149C23—2512no—
2150C23—2448no—
2151C23—2512no—
2152C23—2224no—
2153C23—2448no—
2154C23—2224no—
2155C23—2448no—
2156C23—28no—
2157C23—216no—
2158C23—28no—
2159C23—28no—
2160C23—216no—
2161C23—216no—
2162C23—216no—
2163C23—28no—
2164C23—216no—
2165C23—28no—
2166C23—28no—
2167C23—216no—
2168C23—216no—
2169C23—216no—
2170C23—216no—
2171C23—216no—
2172C23—216no—
2173C23—216no—
2174C23—216no—
2175C23—216no—
2176C23—216no—
2177C23—216no—
2178C23—216no—
2179C23—216no—
2180C23—216no—
2181C23—216no—
2182C23—4256no—
2183C23—4256no—
2184C23—414336no—
2185C23—4256no—
2186C23—4256no—
2187C23—4256no—
2188C23—4512no—
2189C23—4512no—
2190C23—4512no—
2191C23—4256no—
2192C23—4256no—
2193C23—41792no—
2194C23—43584no—
2195C23—4112no—
2196C23—4224no—
2197C23—4224no—
2198C23—4112no—
2199C23—4224no—
2200C23—4112no—
2201C23—4224no—
2202C23—4112no—
2203C23—4224no—
2204C23—4224no—
2205C23—4224no—
2206C23—4224no—
2207C23—4224no—
2208C23—4224no—
2209C23—4512no—
2210C23—4224no—
2211C23—4256no—
2212C23—4224no—
2213C23—4224no—
2214C23—4224no—
2215C23—4224no—
2216C23—4224no—
2217C23—4224no—
2218C23—4224no—
2219C23—8128no—
2220C23—8256no—
2221C23—8128no—
2222C23—8256no—
2223C23—8128no—
2224C23—8128no—
2225C23—8256no—
2226C23—814336no—
2227C23—87168no—
2228C23—81792no—
2229C23—81792no—
2230C23#376931512yesdirect product factor
2231C23C22×#5381112yes—
2232C23C22×#5381448yescomplemented
2233C23C22×#5461448yes—
2234C23C22×#5461112yes—
2235C23C2×#35341112yes—
2236C23C2×#35371112yes—
2237C23C2×#34841112yes—
2238C23C2×#35051112yes—
2239C23C2×#34881112yes—
2240C23C25×D4132yes—
2241C23C25×D4116yes—
2242C23C25×D4114yes—
2243C23C24×#41116yes—
2244C23C24×#41116yes—
2245C23C24×#41116yes—
2246C23C24×#41114yes—
2247C23C23×H(5,𝔽2)116yes—
2248C23C23×H(5,𝔽2)116yes—
2249C23C23×H(5,𝔽2)116yes—
2250C23C23×H(5,𝔽2)114yes—
2251C23C23×H(5,𝔽2)114yes—
2252C23C23×H(5,𝔽2)114yes—
2253C23C23×H(5,𝔽2)114yes—
2254C23C22×#585114yes—
2255C23C2811yescharacteristic
2256Q8—8128no—
2257D4—21024no—
2258D4—4256no—
2259D4—4512no—
2260D4—4512no—
2261D4—4256no—
2262D4—4512no—
2263D4—4512no—
2264D4—4512no—
2265D4—4512no—
2266D4—8256no—
2267D4—8256no—
2268D4—8256no—
2269D4—8256no—
2270C2×C4—2512no—
2271C2×C4—2448no—
2272C2×C4—2224no—
2273C2×C4—2224no—
2274C2×C4—2224no—
2275C2×C4—28no—
2276C2×C4—216no—
2277C2×C4—216no—
2278C2×C4—28no—
2279C2×C4—28no—
2280C2×C4—28no—
2281C2×C4—28no—
2282C2×C4—28no—
2283C2×C4—216no—
2284C2×C4—216no—
2285C2×C4—28no—
2286C2×C4—216no—
2287C2×C4—216no—
2288C2×C4—216no—
2289C2×C4—216no—
2290C2×C4—216no—
2291C2×C4—216no—
2292C2×C4—216no—
2293C2×C4—216no—
2294C2×C4—216no—
2295C2×C4—216no—
2296C2×C4—216no—
2297C2×C4—216no—
2298C2×C4—216no—
2299C2×C4—216no—
2300C2×C4—216no—
2301C2×C4—28no—
2302C2×C4—216no—
2303C2×C4—216no—
2304C2×C4—216no—
2305C2×C4—216no—
2306C2×C4—28no—
2307C2×C4—216no—
2308C2×C4—216no—
2309C2×C4—216no—
2310C2×C4—4256no—
2311C2×C4—4256no—
2312C2×C4—4256no—
2313C2×C4—4256no—
2314C2×C4—4512no—
2315C2×C4—4256no—
2316C2×C4—4256no—
2317C2×C4—4224no—
2318C2×C4—4224no—
2319C2×C4—4224no—
2320C2×C4—4224no—
2321C2×C4—4224no—
2322C2×C4—4112no—
2323C2×C4—4224no—
2324C2×C4—4224no—
2325C2×C4—4224no—
2326C2×C4—8128no—
2327C2×C4—8256no—
2328C2×C4—8128no—
2329C2×C4—8256no—
2330C2×C4C25×D4132yes—
2331C2×C4C25×D4116yes—
2332C2×C4C25×D4116yes—
2333C2×C4C23×H(5,𝔽2)116yes—
2334C22—216no—
2335C22—216no—
2336C22—216no—
2337C22—2896no—
2338C22—2896no—
2339C22—216no—
2340C22—216no—
2341C22—216no—
2342C22—216no—
2343C22—216no—
2344C22—216no—
2345C22—216no—
2346C22—216no—
2347C22—216no—
2348C22—232no—
2349C22—216no—
2350C22—216no—
2351C22—232no—
2352C22—232no—
2353C22—216no—
2354C22—41024no—
2355C22—48no—
2356C22—416no—
2357C22—4448no—
2358C22—4896no—
2359C22—48no—
2360C22—416no—
2361C22—416no—
2362C22—48no—
2363C22—416no—
2364C22—48no—
2365C22—416no—
2366C22—416no—
2367C22—416no—
2368C22—416no—
2369C22—416no—
2370C22—416no—
2371C22—416no—
2372C22—416no—
2373C22—416no—
2374C22—416no—
2375C22—416no—
2376C22—416no—
2377C22—416no—
2378C22—416no—
2379C22—81024no—
2380C22—8512no—
2381C22—8448no—
2382C22—8448no—
2383C22C2×#376931448yesdirect product factor
2384C22C23×#538128yes—
2385C22C23×#538132yescomplemented
2386C22C23×#546132yes—
2387C22C23×#546128yes—
2388C22C22×#3484128yes—
2389C22C22×#3505128yes—
2390C22C22×#3488128yes—
2391C22C22×#3534128yes—
2392C22C22×#3537128yes—
2393C22C26×D411yescharacteristic
2394C22C25×#4111yescharacteristic
2395C22C24×H(5,𝔽2)11yescharacteristic
2396C22C24×H(5,𝔽2)11yescharacteristic
2397C22C24×H(5,𝔽2)11yescharacteristic
2398C22C24×H(5,𝔽2)11yescharacteristic
2399C22C23×#58511yescharacteristic
2400C4—216no—
2401C4—216no—
2402C4—216no—
2403C4—232no—
2404C4—48no—
2405C4—416no—
2406C4—416no—
2407C4—416no—
2408C4—416no—
2409C4—416no—
2410C4—416no—
2411C4—416no—
2412C4—416no—
2413C2—232no—
2414C2—232no—
2415C2—416no—
2416C2—432no—
2417C2—816no—
2418C2—816no—
2419C2C23×#348411yescharacteristic
2420C2C23×#353711yescharacteristic
2421C2C23×#348811yescharacteristic
2422C2C24×#54611yescharacteristic
2423C2C22×#37693156yesdirect product factor
2424C2C23×#353411yescharacteristic
2425C2C23×#350511yescharacteristic
2426C2C24×#53811yescharacteristic
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×#2481C2semidirect
2. C23×#2714C2semidirect
3. C23×#2639C2semidirect
4. C23×#2444C2semidirect
5. C23×#2703C2semidirect
6. C24×#538C2semidirect
7. C23×#2688C2semidirect
8. C23×#2848C2semidirect
9. C23×#2325C2semidirect
10. C23×#2412C2semidirect
11. C23×#2472C2semidirect
12. C23×#2676C2semidirect
13. C23×#2617C2semidirect
14. C25×#121C2semidirect
15. C24×#386C2semidirect
16. C22×#37693C2direct (N × H)
17. C23×#2424C2semidirect
18. C23×D4×C22⋊C4C2semidirect
19. C23×#2410C2semidirect
20. C23×#2403C2semidirect
23. C26×D4C22semidirect
26. C23×#538C22semidirect
27. C24×#126C22semidirect
28. C24×#124C22semidirect
29. C24×#123C22semidirect
30. C24×C22⋊Q8C22semidirect
31. C24×C22⋊Q8C22semidirect
32. C24×C22⋊Q8C22semidirect
37. C24×#121C22semidirect
38. C24×#121C22semidirect
39. C24×#121C22semidirect
40. C24×#121C22semidirect
41. C24×#121C22semidirect
42. C24×#121C22semidirect
45. C24×#120C22semidirect
46. C24×#120C22semidirect
47. C24×C4×D4C22semidirect
48. C24×C4×D4C22semidirect
49. C25×C4⋊C4C22semidirect
51. C25×C22⋊C4C22semidirect
52. C25×C22⋊C4C22semidirect
53. C25×C22⋊C4C22semidirect
54. C25×C22⋊C4C22semidirect
55. C2×#37693C22direct (N × H)
56. C22×#2703C22semidirect
57. C22×#2676C22semidirect
58. C22×#2714C22semidirect
59. C22×#2688C22semidirect
60. C22×#2848C22semidirect
61. C22×#2444C22semidirect
62. C22×#2481C22semidirect
63. C22×#2472C22semidirect
64. C22×#2412C22semidirect
65. C22×#2424C22semidirect
66. C22×#2410C22semidirect
67. C22×#2403C22semidirect
68. C22×#2639C22semidirect
69. C22×#2617C22semidirect
70. C23×#400C22semidirect
71. C23×#400C22semidirect
72. C23×#397C22semidirect
73. C23×#397C22semidirect
74. C23×#397C22semidirect
75. C23×#397C22semidirect
76. C23×#396C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
80. C23×#394C22semidirect
81. C23×#394C22semidirect
82. C23×#394C22semidirect
83. C23×#393C22semidirect
84. C23×#392C22semidirect
85. C23×#392C22semidirect
86. C23×#392C22semidirect
87. C23×#392C22semidirect
88. C23×#392C22semidirect
89. C23×#392C22semidirect
90. C22×D4×C22⋊C4C22semidirect
91. C22×#2325C22semidirect
92. C23×#390C22semidirect
93. C23×#390C22semidirect
94. C23×#390C22semidirect
95. C23×#388C22semidirect
96. C23×#388C22semidirect
97. C23×#388C22semidirect
98. C23×#387C22semidirect
99. C23×#387C22semidirect
104. C23×#386C22semidirect
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×#385C22semidirect
117. C23×#385C22semidirect
118. C23×#385C22semidirect
119. C23×#385C22semidirect
120. C23×#381C22semidirect
121. C23×#380C22semidirect
122. C23×#380C22semidirect
123. C23×#380C22semidirect
124. C23×#380C22semidirect
126. C23×#379C22semidirect
127. C23×C4×C22⋊C4C22semidirect
128. C24×#95C22semidirect
129. C24×#95C22semidirect
158. C25×D4C23semidirect
176. C22×#538C23semidirect
178. C23×#126C23semidirect
180. C23×#124C23semidirect
182. C23×#123C23semidirect
186. C23×C22⋊Q8C23semidirect
187. C23×C22⋊Q8C23semidirect
188. C23×C22⋊Q8C23semidirect
197. C23×#121D4semidirect
201. C23×#121C23semidirect
202. C23×#121C23semidirect
203. C23×#121C23semidirect
204. C23×#121C23semidirect
205. C23×#121C23semidirect
206. C23×#121C23semidirect
213. C23×#120C23semidirect
214. C23×#120C23semidirect
217. C23×C4×D4C23semidirect
218. C23×C4×D4C23semidirect
231. C24×C4⋊C4C23semidirect
268. C24×C22⋊C4C23semidirect
269. C24×C22⋊C4C23semidirect
270. C24×C22⋊C4C23semidirect
271. C24×C22⋊C4C23semidirect
274. C2×#2714C23semidirect
275. C2×#2703C23semidirect
276. C2×#2688C23semidirect
277. C2×#2676C23semidirect
278. #37693C23direct (N × H)
279. C2×#2848C23semidirect
280. C2×#2444C23semidirect
281. C2×#2481C23semidirect
282. C2×#2472C23semidirect
283. C2×#2412C23semidirect
284. C2×#2424C23semidirect
285. C2×#2410C23semidirect
286. C2×#2403C23semidirect
287. C2×#2639C23semidirect
288. C2×#2617C23semidirect
289. C22×#400C23semidirect
290. C22×#400C23semidirect
291. C22×#397C23semidirect
292. C22×#397C23semidirect
293. C22×#397C23semidirect
294. C22×#397C23semidirect
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×#392C23semidirect
304. C22×#392C23semidirect
305. C22×#392C23semidirect
306. C22×#392C23semidirect
307. C22×#392C23semidirect
308. C22×#392C23semidirect
309. C2×D4×C22⋊C4C23semidirect
310. C2×#2325C23semidirect
311. C22×#390C23semidirect
312. C22×#390C23semidirect
313. C22×#390C23semidirect
314. C22×#388C23semidirect
315. C22×#388C23semidirect
316. C22×#388C23semidirect
317. C22×#387C23semidirect
318. 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×#385C23semidirect
336. C22×#385C23semidirect
337. C22×#385C23semidirect
338. C22×#385C23semidirect
339. C22×#381C23semidirect
340. C22×#380C23semidirect
341. C22×#380C23semidirect
342. C22×#380C23semidirect
343. C22×#380C23semidirect
345. C22×#379C23semidirect
346. C22×C4×C22⋊C4C23semidirect
362. C23×#95C23semidirect
363. C23×#95C23semidirect
448. C24×D4C2×D4semidirect
464. C24×D4C24semidirect
532. C2×#538C24semidirect
534. C22×#126C24semidirect
536. C22×#124C24semidirect
538. C22×#123C24semidirect
542. C22×C22⋊Q8C24semidirect
543. C22×C22⋊Q8C24semidirect
544. C22×C22⋊Q8C24semidirect
553. C22×#121C2×D4semidirect
557. C22×#121C24semidirect
558. C22×#121C24semidirect
559. C22×#121C24semidirect
560. C22×#121C24semidirect
561. C22×#121C24semidirect
562. C22×#121C24semidirect
569. C22×#120C24semidirect
570. C22×#120C24semidirect
573. C22×C4×D4C24semidirect
574. C22×C4×D4C24semidirect
586. C23×C4⋊C4C2×D4semidirect
598. C23×C4⋊C4C24semidirect
633. C23×C22⋊C4C2×D4semidirect
665. C23×C22⋊C4C24semidirect
666. C23×C22⋊C4C24semidirect
667. C23×C22⋊C4C24semidirect
668. C23×C22⋊C4C24semidirect
673. #2848C24semidirect
674. #2714C24semidirect
675. #2703C24semidirect
676. #2688C24semidirect
677. #2676C24semidirect
678. #2639C24semidirect
679. #2617C24semidirect
680. #2481C24semidirect
681. #2472C24semidirect
682. #2444C24semidirect
683. #2424C24semidirect
684. #2412C24semidirect
685. #2410C24semidirect
686. #2403C24semidirect
687. C2×#400C24semidirect
688. C2×#400C24semidirect
689. C2×#397C24semidirect
690. C2×#397C24semidirect
691. C2×#397C24semidirect
692. C2×#397C24semidirect
693. C2×#396C24semidirect
694. C2×#394C24semidirect
695. C2×#394C24semidirect
696. C2×#394C24semidirect
697. C2×#394C24semidirect
698. C2×#394C24semidirect
699. C2×#394C24semidirect
700. C2×#393C24semidirect
701. C2×#392C24semidirect
702. C2×#392C24semidirect
703. C2×#392C24semidirect
704. C2×#392C24semidirect
705. C2×#392C24semidirect
706. C2×#392C24semidirect
707. D4×C22⋊C4C24semidirect
708. #2325C24semidirect
709. C2×#390C24semidirect
710. C2×#390C24semidirect
711. C2×#390C24semidirect
712. C2×#388C24semidirect
713. C2×#388C24semidirect
714. C2×#388C24semidirect
715. C2×#387C24semidirect
716. C2×#387C24semidirect
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×#386C24semidirect
730. C2×#386C24semidirect
731. C2×#386C24semidirect
732. C2×#386C24semidirect
733. C2×#385C24semidirect
734. C2×#385C24semidirect
735. C2×#385C24semidirect
736. C2×#385C24semidirect
737. C2×#381C24semidirect
738. C2×#380C24semidirect
739. C2×#380C24semidirect
740. C2×#380C24semidirect
741. C2×#380C24semidirect
743. C2×#379C24semidirect
744. C2×C4×C22⋊C4C24semidirect
760. C22×#95C24semidirect
761. C22×#95C24semidirect
924. C23×D4C22×D4semidirect
940. C23×D4C25semidirect
1060. C2×#126C25semidirect
1062. C2×#124C25semidirect
1064. C2×#123C25semidirect
1068. C2×C22⋊Q8C25semidirect
1069. C2×C22⋊Q8C25semidirect
1070. C2×C22⋊Q8C25semidirect
1079. C2×#121C22×D4semidirect
1083. C2×#121C25semidirect
1084. C2×#121C25semidirect
1085. C2×#121C25semidirect
1086. C2×#121C25semidirect
1087. C2×#121C25semidirect
1094. C2×#120C25semidirect
1095. C2×#120C25semidirect
1098. C2×C4×D4C25semidirect
1099. C2×C4×D4C25semidirect
1111. C22×C4⋊C4C22×D4semidirect
1123. C22×C4⋊C4C25semidirect
1158. C22×C22⋊C4C22×D4semidirect
1190. C22×C22⋊C4C25semidirect
1191. C22×C22⋊C4C25semidirect
1192. C22×C22⋊C4C25semidirect
1193. C22×C22⋊C4C25semidirect
1198. #400C25semidirect
1199. #400C25semidirect
1200. #397C25semidirect
1201. #397C25semidirect
1202. #397C25semidirect
1203. #397C25semidirect
1204. #396C25semidirect
1205. #394C25semidirect
1206. #394C25semidirect
1207. #394C25semidirect
1208. #394C25semidirect
1209. #394C25semidirect
1210. #394C25semidirect
1211. #393C25semidirect
1212. #392C25semidirect
1213. #392C25semidirect
1214. #392C25semidirect
1215. #392C25semidirect
1216. #392C25semidirect
1217. #392C25semidirect
1218. #390C25semidirect
1219. #390C25semidirect
1220. #390C25semidirect
1221. #388C25semidirect
1222. #388C25semidirect
1223. #388C25semidirect
1224. #387C25semidirect
1225. #387C25semidirect
1230. #386C25semidirect
1231. #386C25semidirect
1232. #386C25semidirect
1233. #386C25semidirect
1234. #386C25semidirect
1235. #386C25semidirect
1236. #386C25semidirect
1237. #386C25semidirect
1238. #386C25semidirect
1239. #386C25semidirect
1240. #386C25semidirect
1241. #385C25semidirect
1242. #385C25semidirect
1243. #385C25semidirect
1244. #385C25semidirect
1245. #381C25semidirect
1246. #380C25semidirect
1247. #380C25semidirect
1248. #380C25semidirect
1249. #380C25semidirect
1251. #379C25semidirect
1252. C4×C22⋊C4C25semidirect
1268. C2×#95C25semidirect
1269. C2×#95C25semidirect
1388. C25#538semidirect
1484. C22×D4C23×D4semidirect
1640. #121C23×D4semidirect
1658. C2×C4⋊C4C23×D4semidirect
1704. C2×C22⋊C4C23×D4semidirect
1879. C24C2×#538semidirect
1968. C2×D4C24×D4semidirect
2093. C4⋊C4C24×D4semidirect
2123. C22⋊C4C24×D4semidirect
2230. C23#37693direct (N × H)
2232. C23C22×#538semidirect
2383. C22C2×#37693direct (N × H)
2385. C22C23×#538semidirect
2423. C2C22×#37693direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#24812
C23×#27142
C23×#26392
C23×#24442
C23×#27032
C24×#5382
C23×#26882
C23×#28482
C23×#23252
C23×#24122
C23×#24722
C23×#26762
C23×#26172
C25×#1212
C24×#3862
C22×#376932
C23×#24242
C23×D4×C22⋊C42
C23×#24102
C23×#24032