Finite Group Databasebeta

← C23×#41410 #72325220

Subgroups — C23×#41410 #72325220

Order 2048.

1320128 conjugacy classes of subgroups.

The subgroup lattice has 2384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2820C211yesmaximal, characteristic, complemented
2C23×#2624C211yesmaximal, characteristic, complemented
3C23×#2633C211yesmaximal, characteristic, complemented
4C23×#2714C212yesmaximal, complemented
5C23×#2723C212yesmaximal, complemented
6C24×#397C211yesmaximal, characteristic, complemented
7C23×#2318C211yesmaximal, characteristic, complemented
8C23×#2706C212yesmaximal, complemented
9C23×#2815C211yesmaximal, characteristic, complemented
10C24×#553C211yesmaximal, characteristic, complemented
11C22×#41410C21224yesmaximal, direct product factor
12C23×#2504C211yesmaximal, characteristic, complemented
13C23×#2482C211yesmaximal, characteristic, complemented
14C23×#2631C211yesmaximal, characteristic, complemented
15C23×#2678C212yesmaximal, complemented
16C23×#2425C212yesmaximal, complemented
17C23×#2656C211yesmaximal, characteristic, complemented
18C23×#2539C211yesmaximal, characteristic, complemented
19C23×#2617C211yesmaximal, characteristic, complemented
20C23×#2424C212yesmaximal, complemented
21C23×#2430C212yesmaximal, complemented
22C24×#546C211yesmaximal, characteristic, complemented
23C23×#2410C212yesmaximal, complemented
24C23×#2535C211yesmaximal, characteristic, complemented
25C25×#41C2211yescharacteristic
26C26×D4C2211yescharacteristic
27C23×#553—264no—
28C23×#553C221112yescomplemented
29C23×#546—264no—
30C23×#546C221112yescomplemented
31C24×#126C2212yescomplemented
32C24×#125C2211yescharacteristic, complemented
33C24×#124C2211yescharacteristic
34C24×#123C2211yescharacteristic
35C24×#123C2211yescharacteristic
36C24×#123C2212yescomplemented
37C24×#123C2212yescomplemented
38C24×C22⋊Q8C2211yescharacteristic
39C24×#121C2212yes—
40C24×#121C2211yescharacteristic
41C24×#121C2211yescharacteristic
42C24×#121C2211yescharacteristic
43C24×#121C2212yes—
44C24×#121C2212yes—
45C24×#121C2211yescharacteristic, complemented
46C24×#121C2211yescharacteristic, complemented
47C24×#121C2212yescomplemented
48C24×#120C2211yescharacteristic
49C24×#120C2211yescharacteristic
50C24×#120C2212yes—
51C24×#120C2212yes—
52C24×C4×D4C2211yescharacteristic
53C24×C4×D4C2211yescharacteristic
54C24×C4×D4C2212yescomplemented
55C24×C4×D4C2211yescharacteristic, complemented
56C24×#117C2211yescharacteristic, complemented
57C25×C4⋊C4C2211yescharacteristic, complemented
58C25×C22⋊C4C2211yescharacteristic
59C25×C22⋊C4C2211yescharacteristic
60C25×C22⋊C4C2212yes—
61C2×#41410C2217168yesdirect product factor
62C22×#2723C221224yescomplemented
63C22×#2706C221224yescomplemented
64C22×#2714C221224yescomplemented
65C22×#2678C221224yescomplemented
66C22×#2820C221112yescomplemented
67C22×#2815C221112yescomplemented
68C22×#2535C221112yescomplemented
69C22×#2539C221112yescomplemented
70C22×#2482C221112yescomplemented
71C22×#2504C221112yescomplemented
72C22×#2430C221224yescomplemented
73C22×#2425C221224yescomplemented
74C22×#2424C221224yescomplemented
75C22×#2410C221224yescomplemented
76C22×#2624C221112yescomplemented
77C22×#2633C221112yescomplemented
78C22×#2631C221112yescomplemented
79C22×#2656C221112yescomplemented
80C22×#2617C221112yescomplemented
81C23×#399C2211yescharacteristic
82C23×#399C2211yescharacteristic, complemented
83C23×#399C2211yescharacteristic, complemented
84C23×#399C2211yescharacteristic, complemented
85C23×#399C2212yescomplemented
86C23×#398C2212yescomplemented
87C23×#397C2211yescharacteristic
88C23×#397C2212yes—
89C23×#397C2211yescharacteristic
90C23×#397C2211yescharacteristic, complemented
91C23×#397C2211yescharacteristic, complemented
92C23×#397C2211yescharacteristic, complemented
93C23×#397C2211yescharacteristic, complemented
94C23×#397C2211yescharacteristic, complemented
95C23×#397C2212yescomplemented
96C23×#397C2212yescomplemented
97C23×#397C2211yescharacteristic, complemented
98C23×#397C221112yescomplemented
99C23×#396C2212yescomplemented
100C23×#396C2212yescomplemented
101C23×#395C2212yescomplemented
102C23×#394C2212yes—
103C23×#394C2212yes—
104C23×#394C2212yes—
105C23×#394C2212yes—
106C23×#394C2212yescomplemented
107C23×#394C2212yescomplemented
108C23×#393C2212yescomplemented
109C23×#392C2211yescharacteristic
110C23×#392C2212yes—
111C23×#392C2212yes—
112C23×#392C2212yescomplemented
113C23×#392C2212yescomplemented
114C23×#392C2211yescharacteristic, complemented
115C23×#392C2211yescharacteristic, complemented
116C23×#392C2211yescharacteristic, complemented
117C23×#392C2212yescomplemented
118C22×#2318C221112yescomplemented
119C23×#390C2212yes—
120C23×#390C2212yescomplemented
121C23×#390C2212yescomplemented
122C23×#390C2212yescomplemented
123C23×#389C2212yescomplemented
124C23×#388C2212yes—
125C23×#388C2212yescomplemented
126C23×#388C2212yescomplemented
127C23×#387C2212yescomplemented
128C23×#386C2212yes—
129C23×#386C2212yes—
130C23×#386C2212yes—
131C23×#386C2212yescomplemented
132C23×#386C2212yescomplemented
133C23×#386C2212yescomplemented
134C23×#386C2212yescomplemented
135C23×#386C2212yescomplemented
136C23×#385C2212yes—
137C23×#385C2212yescomplemented
138C23×#385C2212yescomplemented
139C23×#385C2212yescomplemented
140C23×#383C2211yescharacteristic, complemented
141C23×#382C2211yescharacteristic, complemented
142C23×#382C2212yescomplemented
143C23×#381C2211yescharacteristic, complemented
144C23×#380C2211yescharacteristic, complemented
145C23×#380C2212yescomplemented
146C23×#379C2212yes—
147C23×C4×C22⋊C4C2211yescharacteristic, complemented
148C24×#95C2212yescomplemented
149C24×#95C2211yescharacteristic, complemented
150C28C2311yescharacteristic
151C28C2311yescharacteristic
152C24×#41—232no—
153C24×#41—432no—
154C24×#41C23156yes—
155C25×Q8C2311yescharacteristic
156C25×D4—232no—
157C25×D4—432no—
158C25×D4C2312yes—
159C25×D4C2311yescharacteristic
160C25×D4C2311yescharacteristic
161C25×D4C2311yescharacteristic
162C25×D4C2311yescharacteristic
163C25×D4C2311yescharacteristic
164C25×D4C2312yes—
165C25×D4C2312yes—
166C25×D4C2311yescharacteristic
167C25×D4C2311yescharacteristic
168C25×D4C2311yescharacteristic
169C25×D4C2311yescharacteristic
170C25×D4C2311yescharacteristic
171C25×D4C23156yes—
172C25×D4C2312yes—
173C25×D4C2312yes—
174C25×D4C2312yes—
175C26×C4C2311yescharacteristic
176C26×C4C2312yes—
177C26×C4C2312yes—
178C26×C4C2311yescharacteristic
179C26×C4C2312yes—
180C26×C4C2311yescharacteristic
181C26×C4C2311yescharacteristic
182C26×C4C2311yescharacteristic
183C26×C4C2311yescharacteristic
184C22×#553—23584no—
185C22×#553C2311792yescomplemented
186C22×#546—23584no—
187C22×#546C2311792yescomplemented
188C23×#126—264no—
189C23×#126C231112yescomplemented
190C23×#125—232no—
191C23×#125C23156yescomplemented
192C23×#124—232no—
193C23×#124C23156yes—
194C23×#123—232no—
195C23×#123—232no—
196C23×#123—264no—
197C23×#123—432no—
198C23×#123C23156yes—
199C23×#123C23156yes—
200C23×#123C231112yescomplemented
201C23×#123C231112yescomplemented
202C23×C22⋊Q8—232no—
203C23×C22⋊Q8C23156yes—
204C23×#121—232no—
205C23×#121—264no—
206C23×#121—232no—
207C23×#121—232no—
208C23×#121—232no—
209C23×#121—232no—
210C23×#121—432no—
211C23×#121—432no—
212C23×#121—432no—
213C23×#121C231112yes—
214C23×#121C23156yes—
215C23×#121C23156yes—
216C23×#121C23156yes—
217C23×#121C231112yes—
218C23×#121C231112yes—
219C23×#121C23156yescomplemented
220C23×#121C23156yescomplemented
221C23×#121C231112yescomplemented
222C23×#120—232no—
223C23×#120—232no—
224C23×#120—432no—
225C23×#120—432no—
226C23×#120C23156yes—
227C23×#120C23156yes—
228C23×#120C231112yes—
229C23×#120C231112yes—
230C23×C4×D4—264no—
231C23×C4×D4—232no—
232C23×C4×D4—232no—
233C23×C4×D4D4164yescomplemented
234C23×C4×D4C23156yes—
235C23×C4×D4C23156yes—
236C23×C4×D4C23156yescomplemented
237C23×C4×D4C231112yescomplemented
238C23×#117—232no—
239C23×#117C23156yescomplemented
240C24×C4⋊C4—232no—
241C24×C4⋊C4C2311yescharacteristic
242C24×C4⋊C4C2311yescharacteristic
243C24×C4⋊C4C2312yes—
244C24×C4⋊C4C2311yescharacteristic
245C24×C4⋊C4C2311yescharacteristic
246C24×C4⋊C4C2311yescharacteristic
247C24×C4⋊C4C2312yes—
248C24×C4⋊C4C2312yes—
249C24×C4⋊C4C2311yescharacteristic
250C24×C4⋊C4C2312yes—
251C24×C4⋊C4C2312yes—
252C24×C4⋊C4C2312yes—
253C24×C4⋊C4C2312yes—
254C24×C4⋊C4C2312yes—
255C24×C4⋊C4C2312yes—
256C24×C4⋊C4C2311yescharacteristic
257C24×C4⋊C4C23156yescomplemented
258C24×C22⋊C4—232no—
259C24×C22⋊C4—232no—
260C24×C22⋊C4—432no—
261C24×C22⋊C4C2312yes—
262C24×C22⋊C4C2312yes—
263C24×C22⋊C4C2311yescharacteristic
264C24×C22⋊C4C2312yes—
265C24×C22⋊C4C2311yescharacteristic
266C24×C22⋊C4C2311yescharacteristic
267C24×C22⋊C4C2311yescharacteristic
268C24×C22⋊C4C2311yescharacteristic
269C24×C22⋊C4C2311yescharacteristic
270C24×C22⋊C4C2311yescharacteristic
271C24×C22⋊C4C23156yes—
272C24×C22⋊C4C23156yes—
273C24×C22⋊C4C2311yescharacteristic
274C24×C22⋊C4C2312yes—
275C24×C22⋊C4C2312yes—
276C24×C22⋊C4C2312yes—
277C24×C22⋊C4C2311yescharacteristic
278C24×C22⋊C4C2311yescharacteristic
279C24×C22⋊C4C2312yes—
280C24×C22⋊C4C2312yes—
281C24×C22⋊C4C2312yes—
282C24×C22⋊C4C2312yes—
283C24×C22⋊C4C2312yes—
284C24×C22⋊C4C2312yes—
285C24×C22⋊C4C2312yes—
286C24×C22⋊C4C2312yes—
287C24×C22⋊C4C2312yes—
288C24×C22⋊C4C231112yes—
289C24×C22⋊C4C2312yes—
290C24×C22⋊C4C2312yes—
291C24×C22⋊C4C2312yes—
292C24×C22⋊C4C2312yes—
293C24×C22⋊C4C2312yes—
294C24×C22⋊C4C2312yes—
295C24×C22⋊C4C2312yes—
296C24×C22⋊C4C2312yes—
297C24×C22⋊C4C2311yescharacteristic
298C24×C22⋊C4C2311yescharacteristic
299C24×C42C2312yes—
300C24×C42C2312yes—
301C24×C42C2311yescharacteristic
302C2×#2723C2313584yescomplemented
303C2×#2714C2313584yescomplemented
304C2×#2706C2313584yescomplemented
305C2×#2678C2313584yescomplemented
306#41410C23132768yesdirect product factor
307C2×#2820C2311792yescomplemented
308C2×#2815C2311792yescomplemented
309C2×#2535C2311792yescomplemented
310C2×#2539C2311792yescomplemented
311C2×#2482C2311792yescomplemented
312C2×#2504C2311792yescomplemented
313C2×#2430C2313584yescomplemented
314C2×#2425C2313584yescomplemented
315C2×#2424C2313584yescomplemented
316C2×#2410C2313584yescomplemented
317C2×#2624C2311792yescomplemented
318C2×#2633C2311792yescomplemented
319C2×#2631C2311792yescomplemented
320C2×#2656C2311792yescomplemented
321C2×#2617C2311792yescomplemented
322C22×#399C23156yes—
323C22×#399C231112yescomplemented
324C22×#399C23156yescomplemented
325C22×#399C23156yescomplemented
326C22×#399C23156yescomplemented
327C22×#398C231112yescomplemented
328C22×#397C231112yes—
329C22×#397C23156yes—
330C22×#397C23156yes—
331C22×#397C2311792yescomplemented
332C22×#397C23156yescomplemented
333C22×#397C231112yescomplemented
334C22×#397C231112yescomplemented
335C22×#397C23156yescomplemented
336C22×#397C23156yescomplemented
337C22×#397C23156yescomplemented
338C22×#397C23156yescomplemented
339C22×#397C23156yescomplemented
340C22×#396C231112yescomplemented
341C22×#396C231112yescomplemented
342C22×#395C231112yescomplemented
343C22×#394C231112yes—
344C22×#394C231112yes—
345C22×#394C231112yes—
346C22×#394C231112yes—
347C22×#394C231112yescomplemented
348C22×#394C231112yescomplemented
349C22×#393C231112yescomplemented
350C22×#392C23156yes—
351C22×#392C231112yes—
352C22×#392C231112yes—
353C22×#392C231112yescomplemented
354C22×#392C231112yescomplemented
355C22×#392C23156yescomplemented
356C22×#392C231112yescomplemented
357C22×#392C23156yescomplemented
358C22×#392C23156yescomplemented
359C2×#2318C2311792yescomplemented
360C22×#390C231112yes—
361C22×#390C231112yescomplemented
362C22×#390C231112yescomplemented
363C22×#390C231112yescomplemented
364C22×#389C231112yescomplemented
365C22×#388C231112yes—
366C22×#388C231112yescomplemented
367C22×#388C231112yescomplemented
368C22×#387C231112yescomplemented
369C22×#386C231112yes—
370C22×#386C231112yes—
371C22×#386C231112yes—
372C22×#386C231112yescomplemented
373C22×#386C231112yescomplemented
374C22×#386C231112yescomplemented
375C22×#386C231112yescomplemented
376C22×#386C231112yescomplemented
377C22×#385C231112yes—
378C22×#385C231112yescomplemented
379C22×#385C231112yescomplemented
380C22×#385C231112yescomplemented
381C22×#383C23156yescomplemented
382C22×#382C23156yescomplemented
383C22×#382C231112yescomplemented
384C22×#381C23156yescomplemented
385C22×#380C231112yescomplemented
386C22×#380C23156yescomplemented
387C22×#379C231112yes—
388C22×C4×C22⋊C4C23156yescomplemented
389C23×#95C2312yes—
390C23×#95C2311yescharacteristic
391C23×#95C2311yescharacteristic
392C23×#95C2312yes—
393C23×#95C2311yescharacteristic
394C23×#95C2311yescharacteristic
395C23×#95C2312yes—
396C23×#95C2312yes—
397C23×#95C2312yes—
398C23×#95C2312yes—
399C23×#95C2312yes—
400C23×#95C2312yes—
401C23×#95C2312yes—
402C23×#95C2312yes—
403C23×#95C2312yes—
404C23×#95C2312yes—
405C23×#95C2312yes—
406C23×#95C23156yescomplemented
407C23×#95C231112yescomplemented
408C27—216no—
409C27—216no—
410C27—216no—
411C27—232no—
412C27—216no—
413C27—416no—
414C27—416no—
415C27—48no—
416C27—48no—
417C27—416no—
418C27C2411yescharacteristic
419C27C2412yes—
420C27C2411yescharacteristic
421C27C2411yescharacteristic
422C27C2411yescharacteristic
423C27C2411yescharacteristic
424C27C24128yes—
425C27C2411yescharacteristic
426C27C24128yes—
427C23×#41—2896no—
428C23×#41—4896no—
429C23×#41—41024no—
430C23×#41C241448yes—
431C24×Q8—216no—
432C24×Q8—416no—
433C24×Q8C24128yes—
434C24×D4—232no—
435C24×D4—216no—
436C24×D4—216no—
437C24×D4—216no—
438C24×D4—216no—
439C24×D4—232no—
440C24×D4—232no—
441C24×D4—232no—
442C24×D4—232no—
443C24×D4—216no—
444C24×D4—232no—
445C24×D4—232no—
446C24×D4—232no—
447C24×D4—2896no—
448C24×D4—216no—
449C24×D4—216no—
450C24×D4—216no—
451C24×D4—216no—
452C24×D4—216no—
453C24×D4—416no—
454C24×D4—416no—
455C24×D4—48no—
456C24×D4—416no—
457C24×D4—416no—
458C24×D4—416no—
459C24×D4—416no—
460C24×D4—416no—
461C24×D4—416no—
462C24×D4—416no—
463C24×D4—416no—
464C24×D4—416no—
465C24×D4—416no—
466C24×D4—416no—
467C24×D4—416no—
468C24×D4—416no—
469C24×D4—416no—
470C24×D4—416no—
471C24×D4—416no—
472C24×D4—416no—
473C24×D4—4896no—
474C24×D4—41024no—
475C24×D4C2×D4132yes—
476C24×D4C24128yes—
477C24×D4C24128yes—
478C24×D4C24156yes—
479C24×D4C24128yes—
480C24×D4C24128yes—
481C24×D4C241448yes—
482C24×D4C24128yes—
483C24×D4C24128yes—
484C24×D4C24128yes—
485C24×D4C24128yes—
486C24×D4C24156yes—
487C24×D4C24128yes—
488C24×D4C24128yes—
489C24×D4C24156yes—
490C24×D4C24156yes—
491C24×D4C24156yes—
492C24×D4C24156yes—
493C25×C4—216no—
494C25×C4—216no—
495C25×C4—232no—
496C25×C4—232no—
497C25×C4—232no—
498C25×C4—216no—
499C25×C4—216no—
500C25×C4—232no—
501C25×C4—416no—
502C25×C4—416no—
503C25×C4—416no—
504C25×C4—416no—
505C25×C4—416no—
506C25×C4—416no—
507C25×C4—416no—
508C25×C4—416no—
509C25×C4—416no—
510C25×C4—416no—
511C25×C4—416no—
512C25×C4C2×D4132yes—
513C25×C4C2×D4132yes—
514C25×C4C24128yes—
515C25×C4C2411yescharacteristic
516C25×C4C2412yes—
517C25×C4C2411yescharacteristic
518C25×C4C2411yescharacteristic
519C25×C4C2411yescharacteristic
520C25×C4C2412yes—
521C25×C4C2412yes—
522C25×C4C2412yes—
523C25×C4C2412yes—
524C25×C4C2412yes—
525C25×C4C2412yes—
526C25×C4C2411yescharacteristic
527C25×C4C2411yescharacteristic
528C25×C4C2411yescharacteristic
529C25×C4C2411yescharacteristic
530C25×C4C2411yescharacteristic
531C25×C4C24128yes—
532C25×C4C24128yes—
533C25×C4C24128yes—
534C25×C4C24156yes—
535C25×C4C24156yes—
536C25×C4C24156yes—
537C25×C4C24128yes—
538C25×C4C24128yes—
539C2×#553—228672no—
540C2×#553C2414096yescomplemented
541C2×#546—228672no—
542C2×#546C2414096yescomplemented
543C22×#126—21792no—
544C22×#126C241896yescomplemented
545C22×#125—2896no—
546C22×#125C241448yescomplemented
547C22×#124—2896no—
548C22×#124C241448yes—
549C22×#123—2896no—
550C22×#123—2896no—
551C22×#123—21792no—
552C22×#123—4896no—
553C22×#123C241448yes—
554C22×#123C241448yes—
555C22×#123C241896yescomplemented
556C22×#123C241896yescomplemented
557C22×C22⋊Q8—2896no—
558C22×C22⋊Q8C241448yes—
559C22×#121—21792no—
560C22×#121—2896no—
561C22×#121—2896no—
562C22×#121—2896no—
563C22×#121—2896no—
564C22×#121—2896no—
565C22×#121—4896no—
566C22×#121—4896no—
567C22×#121—4896no—
568C22×#121C241448yes—
569C22×#121C241448yes—
570C22×#121C241896yes—
571C22×#121C241448yes—
572C22×#121C241896yes—
573C22×#121C241896yes—
574C22×#121C241448yescomplemented
575C22×#121C241448yescomplemented
576C22×#121C241896yescomplemented
577C22×#120—2896no—
578C22×#120—2896no—
579C22×#120—4896no—
580C22×#120—4896no—
581C22×#120C241448yes—
582C22×#120C241448yes—
583C22×#120C241896yes—
584C22×#120C241896yes—
585C22×C4×D4—2896no—
586C22×C4×D4—2896no—
587C22×C4×D4—21792no—
588C22×C4×D4C2×D411792yescomplemented
589C22×C4×D4C241448yes—
590C22×C4×D4C241448yes—
591C22×C4×D4C241448yescomplemented
592C22×C4×D4C241896yescomplemented
593C22×#117—2896no—
594C22×#117C241448yescomplemented
595C23×C4⋊C4—216no—
596C23×C4⋊C4—216no—
597C23×C4⋊C4—232no—
598C23×C4⋊C4—2896no—
599C23×C4⋊C4—216no—
600C23×C4⋊C4—216no—
601C23×C4⋊C4—232no—
602C23×C4⋊C4—216no—
603C23×C4⋊C4—216no—
604C23×C4⋊C4—232no—
605C23×C4⋊C4—416no—
606C23×C4⋊C4—416no—
607C23×C4⋊C4—416no—
608C23×C4⋊C4—416no—
609C23×C4⋊C4—416no—
610C23×C4⋊C4—416no—
611C23×C4⋊C4C2×D4132yes—
612C23×C4⋊C4C24128yes—
613C23×C4⋊C4C24128yes—
614C23×C4⋊C4C24156yes—
615C23×C4⋊C4C24128yes—
616C23×C4⋊C4C24128yes—
617C23×C4⋊C4C24156yes—
618C23×C4⋊C4C24128yes—
619C23×C4⋊C4C24128yes—
620C23×C4⋊C4C24156yes—
621C23×C4⋊C4C24156yes—
622C23×C4⋊C4C24156yes—
623C23×C4⋊C4C24156yes—
624C23×C4⋊C4C24156yes—
625C23×C4⋊C4C24156yes—
626C23×C4⋊C4C24156yes—
627C23×C4⋊C4C24128yes—
628C23×C4⋊C4C241448yescomplemented
629C23×C22⋊C4—232no—
630C23×C22⋊C4—232no—
631C23×C22⋊C4—232no—
632C23×C22⋊C4—232no—
633C23×C22⋊C4—216no—
634C23×C22⋊C4—216no—
635C23×C22⋊C4—216no—
636C23×C22⋊C4—216no—
637C23×C22⋊C4—216no—
638C23×C22⋊C4—216no—
639C23×C22⋊C4—216no—
640C23×C22⋊C4—2896no—
641C23×C22⋊C4—2896no—
642C23×C22⋊C4—216no—
643C23×C22⋊C4—232no—
644C23×C22⋊C4—232no—
645C23×C22⋊C4—216no—
646C23×C22⋊C4—216no—
647C23×C22⋊C4—232no—
648C23×C22⋊C4—4896no—
649C23×C22⋊C4—416no—
650C23×C22⋊C4—416no—
651C23×C22⋊C4—416no—
652C23×C22⋊C4—416no—
653C23×C22⋊C4—416no—
654C23×C22⋊C4—416no—
655C23×C22⋊C4—416no—
656C23×C22⋊C4—416no—
657C23×C22⋊C4—416no—
658C23×C22⋊C4—416no—
659C23×C22⋊C4—416no—
660C23×C22⋊C4—416no—
661C23×C22⋊C4—416no—
662C23×C22⋊C4—416no—
663C23×C22⋊C4—416no—
664C23×C22⋊C4—416no—
665C23×C22⋊C4C2×D4132yes—
666C23×C22⋊C4C2×D4132yes—
667C23×C22⋊C4C241448yes—
668C23×C22⋊C4C24128yes—
669C23×C22⋊C4C24128yes—
670C23×C22⋊C4C24128yes—
671C23×C22⋊C4C24156yes—
672C23×C22⋊C4C24128yes—
673C23×C22⋊C4C24128yes—
674C23×C22⋊C4C24128yes—
675C23×C22⋊C4C24128yes—
676C23×C22⋊C4C24156yes—
677C23×C22⋊C4C241448yes—
678C23×C22⋊C4C24156yes—
679C23×C22⋊C4C24128yes—
680C23×C22⋊C4C24156yes—
681C23×C22⋊C4C24156yes—
682C23×C22⋊C4C24128yes—
683C23×C22⋊C4C24128yes—
684C23×C22⋊C4C24156yes—
685C23×C22⋊C4C24156yes—
686C23×C22⋊C4C241896yes—
687C23×C22⋊C4C24156yes—
688C23×C22⋊C4C24156yes—
689C23×C22⋊C4C24156yes—
690C23×C22⋊C4C24156yes—
691C23×C22⋊C4C24156yes—
692C23×C22⋊C4C24156yes—
693C23×C22⋊C4C24156yes—
694C23×C22⋊C4C24156yes—
695C23×C22⋊C4C24156yes—
696C23×C22⋊C4C24156yes—
697C23×C22⋊C4C24156yes—
698C23×C22⋊C4C24156yes—
699C23×C22⋊C4C24156yes—
700C23×C22⋊C4C24156yes—
701C23×C22⋊C4C24156yes—
702C23×C22⋊C4C24156yes—
703C23×C22⋊C4C24128yes—
704C23×C22⋊C4C24128yes—
705C23×C42—232no—
706C23×C42—416no—
707C23×C42C2×D4132yes—
708C23×C42C24156yes—
709C23×C42C24156yes—
710C23×C42C24128yes—
711#2820C2414096yescomplemented
712#2815C2414096yescomplemented
713#2723C2418192yescomplemented
714#2714C2418192yescomplemented
715#2706C2418192yescomplemented
716#2678C2418192yescomplemented
717#2656C2414096yescomplemented
718#2633C2414096yescomplemented
719#2631C2414096yescomplemented
720#2624C2414096yescomplemented
721#2617C2414096yescomplemented
722#2539C2414096yescomplemented
723#2535C2414096yescomplemented
724#2504C2414096yescomplemented
725#2482C2414096yescomplemented
726#2430C2418192yescomplemented
727#2425C2418192yescomplemented
728#2424C2418192yescomplemented
729#2410C2418192yescomplemented
730C2×#399C241448yes—
731C2×#399C241448yescomplemented
732C2×#399C241448yescomplemented
733C2×#399C241448yescomplemented
734C2×#399C241896yescomplemented
735C2×#398C241896yescomplemented
736C2×#397C241448yes—
737C2×#397C241448yes—
738C2×#397C241896yes—
739C2×#397C241448yescomplemented
740C2×#397C241448yescomplemented
741C2×#397C241448yescomplemented
742C2×#397C241448yescomplemented
743C2×#397C241896yescomplemented
744C2×#397C241448yescomplemented
745C2×#397C241448yescomplemented
746C2×#397C241896yescomplemented
747C2×#397C2414096yescomplemented
748C2×#396C241896yescomplemented
749C2×#396C241896yescomplemented
750C2×#395C241896yescomplemented
751C2×#394C241896yes—
752C2×#394C241896yes—
753C2×#394C241896yes—
754C2×#394C241896yes—
755C2×#394C241896yescomplemented
756C2×#394C241896yescomplemented
757C2×#393C241896yescomplemented
758C2×#392C241448yes—
759C2×#392C241896yes—
760C2×#392C241896yes—
761C2×#392C241448yescomplemented
762C2×#392C241448yescomplemented
763C2×#392C241448yescomplemented
764C2×#392C241896yescomplemented
765C2×#392C241896yescomplemented
766C2×#392C241896yescomplemented
767#2318C2414096yescomplemented
768C2×#390C241896yes—
769C2×#390C241896yescomplemented
770C2×#390C241896yescomplemented
771C2×#390C241896yescomplemented
772C2×#389C241896yescomplemented
773C2×#388C241896yes—
774C2×#388C241896yescomplemented
775C2×#388C241896yescomplemented
776C2×#387C241896yescomplemented
777C2×#386C241896yes—
778C2×#386C241896yes—
779C2×#386C241896yes—
780C2×#386C241896yescomplemented
781C2×#386C241896yescomplemented
782C2×#386C241896yescomplemented
783C2×#386C241896yescomplemented
784C2×#386C241896yescomplemented
785C2×#385C241896yes—
786C2×#385C241896yescomplemented
787C2×#385C241896yescomplemented
788C2×#385C241896yescomplemented
789C2×#383C241448yescomplemented
790C2×#382C241448yescomplemented
791C2×#382C241896yescomplemented
792C2×#381C241448yescomplemented
793C2×#380C241448yescomplemented
794C2×#380C241896yescomplemented
795C2×#379C241896yes—
796C2×C4×C22⋊C4C241448yescomplemented
797C22×#95C24128yes—
798C22×#95C24156yes—
799C22×#95C24128yes—
800C22×#95C24156yes—
801C22×#95C24156yes—
802C22×#95C24156yes—
803C22×#95C24156yes—
804C22×#95C24128yes—
805C22×#95C24128yes—
806C22×#95C24156yes—
807C22×#95C24156yes—
808C22×#95C24156yes—
809C22×#95C24156yes—
810C22×#95C24156yes—
811C22×#95C24156yes—
812C22×#95C24156yes—
813C22×#95C24156yes—
814C22×#95C241448yescomplemented
815C22×#95C241896yescomplemented
816C26—28no—
817C26—216no—
818C26—28no—
819C26—28no—
820C26—216no—
821C26—216no—
822C26—28no—
823C26—216no—
824C26—28no—
825C26—28no—
826C26—216no—
827C26—28no—
828C26—216no—
829C26—28no—
830C26—28no—
831C26—216no—
832C26—216no—
833C26—216no—
834C26—216no—
835C26—28no—
836C26—216no—
837C26—216no—
838C26—28no—
839C26—2224no—
840C26—28no—
841C26—216no—
842C26—216no—
843C26—216no—
844C26—216no—
845C26—216no—
846C26—216no—
847C26—28no—
848C26—28no—
849C26—28no—
850C26—2224no—
851C26—2224no—
852C26—2448no—
853C26—2224no—
854C26—4224no—
855C26—4224no—
856C26—4112no—
857C26—4112no—
858C26—4224no—
859C26—4256no—
860C26—4512no—
861C26—4256no—
862C26—4256no—
863C26—4256no—
864C26—8128no—
865C26—8256no—
866C26—8128no—
867C26—8256no—
868C26—8256no—
869C26C22×D4116yes—
870C26C22×D4116yes—
871C26H(5,𝔽2)116yes—
872C26H(5,𝔽2)132yes—
873C26C25128yes—
874C26C25114yes—
875C26C25114yes—
876C26C25114yes—
877C26C25114yes—
878C26C25114yes—
879C26C251112yes—
880C26C25114yes—
881C26C251112yes—
882C26C2511yescharacteristic
883C22×#41—23584no—
884C22×#41—43584no—
885C22×#41—414336no—
886C22×#41C251512yes—
887C23×Q8—2224no—
888C23×Q8—4224no—
889C23×Q8—4256no—
890C23×Q8C251112yes—
891C23×D4—2512no—
892C23×D4—2448no—
893C23×D4—2224no—
894C23×D4—2224no—
895C23×D4—2224no—
896C23×D4—2224no—
897C23×D4—2448no—
898C23×D4—2448no—
899C23×D4—2448no—
900C23×D4—2448no—
901C23×D4—2224no—
902C23×D4—2448no—
903C23×D4—2448no—
904C23×D4—2448no—
905C23×D4—23584no—
906C23×D4—2224no—
907C23×D4—2224no—
908C23×D4—2224no—
909C23×D4—2224no—
910C23×D4—2224no—
911C23×D4—4224no—
912C23×D4—4224no—
913C23×D4—4112no—
914C23×D4—4224no—
915C23×D4—4224no—
916C23×D4—4256no—
917C23×D4—4256no—
918C23×D4—4256no—
919C23×D4—4224no—
920C23×D4—4224no—
921C23×D4—4224no—
922C23×D4—4224no—
923C23×D4—4224no—
924C23×D4—4224no—
925C23×D4—4224no—
926C23×D4—4224no—
927C23×D4—4224no—
928C23×D4—4224no—
929C23×D4—4224no—
930C23×D4—4224no—
931C23×D4—4224no—
932C23×D4—4224no—
933C23×D4—4224no—
934C23×D4—43584no—
935C23×D4—414336no—
936C23×D4—4256no—
937C23×D4—4256no—
938C23×D4—4512no—
939C23×D4—4256no—
940C23×D4—4256no—
941C23×D4—8128no—
942C23×D4—8128no—
943C23×D4—8256no—
944C23×D4—8256no—
945C23×D4—8256no—
946C23×D4—8256no—
947C23×D4—8256no—
948C23×D4C22×D41448yes—
949C23×D4C251112yes—
950C23×D4C251112yes—
951C23×D4C251224yes—
952C23×D4C251112yes—
953C23×D4C251112yes—
954C23×D4C251112yes—
955C23×D4C251112yes—
956C23×D4C251512yes—
957C23×D4C251112yes—
958C23×D4C251112yes—
959C23×D4C251224yes—
960C23×D4C251224yes—
961C23×D4C251112yes—
962C23×D4C251112yes—
963C23×D4C251224yes—
964C23×D4C251224yes—
965C23×D4C251224yes—
966C24×C4—216no—
967C24×C4—28no—
968C24×C4—216no—
969C24×C4—28no—
970C24×C4—216no—
971C24×C4—216no—
972C24×C4—28no—
973C24×C4—216no—
974C24×C4—28no—
975C24×C4—28no—
976C24×C4—28no—
977C24×C4—216no—
978C24×C4—2224no—
979C24×C4—2224no—
980C24×C4—216no—
981C24×C4—216no—
982C24×C4—216no—
983C24×C4—216no—
984C24×C4—216no—
985C24×C4—2448no—
986C24×C4—216no—
987C24×C4—216no—
988C24×C4—216no—
989C24×C4—216no—
990C24×C4—216no—
991C24×C4—216no—
992C24×C4—216no—
993C24×C4—216no—
994C24×C4—216no—
995C24×C4—216no—
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—2448no—
1005C24×C4—2448no—
1006C24×C4—2224no—
1007C24×C4—2224no—
1008C24×C4—2448no—
1009C24×C4—4256no—
1010C24×C4—4256no—
1011C24×C4—4224no—
1012C24×C4—4224no—
1013C24×C4—4224no—
1014C24×C4—4224no—
1015C24×C4—4224no—
1016C24×C4—4224no—
1017C24×C4—4224no—
1018C24×C4—4224no—
1019C24×C4—4224no—
1020C24×C4—4224no—
1021C24×C4—4224no—
1022C24×C4—4256no—
1023C24×C4—4256no—
1024C24×C4—4256no—
1025C24×C4—4256no—
1026C24×C4—8256no—
1027C24×C4—8256no—
1028C24×C4—8256no—
1029C24×C4C22×D4116yes—
1030C24×C4C22×D4116yes—
1031C24×C4C22×D4116yes—
1032C24×C4C22×D4116yes—
1033C24×C4C22×D4116yes—
1034C24×C4C22×D41448yes—
1035C24×C4C22×D41448yes—
1036C24×C4C25114yes—
1037C24×C4C25128yes—
1038C24×C4C25114yes—
1039C24×C4C25114yes—
1040C24×C4C25114yes—
1041C24×C4C25128yes—
1042C24×C4C25128yes—
1043C24×C4C25128yes—
1044C24×C4C251112yes—
1045C24×C4C25128yes—
1046C24×C4C25128yes—
1047C24×C4C25128yes—
1048C24×C4C25114yes—
1049C24×C4C25114yes—
1050C24×C4C25114yes—
1051C24×C4C25114yes—
1052C24×C4C25114yes—
1053C24×C4C251112yes—
1054C24×C4C251112yes—
1055C24×C4C251112yes—
1056C24×C4C251224yes—
1057C24×C4C251224yes—
1058C24×C4C251224yes—
1059C24×C4C251112yes—
1060C24×C4C251112yes—
1061#553—232768no—
1062#546—232768no—
1063C2×#126—27168no—
1064C2×#126C2511024yescomplemented
1065C2×#125—23584no—
1066C2×#125C251512yescomplemented
1067C2×#124—23584no—
1068C2×#124C251512yes—
1069C2×#123—23584no—
1070C2×#123—23584no—
1071C2×#123—27168no—
1072C2×#123—43584no—
1073C2×#123C251512yes—
1074C2×#123C251512yes—
1075C2×#123C2511024yescomplemented
1076C2×#123C2511024yescomplemented
1077C2×C22⋊Q8—23584no—
1078C2×C22⋊Q8C251512yes—
1079C2×#121—27168no—
1080C2×#121—23584no—
1081C2×#121—23584no—
1082C2×#121—23584no—
1083C2×#121—23584no—
1084C2×#121—23584no—
1085C2×#121—43584no—
1086C2×#121—43584no—
1087C2×#121—43584no—
1088C2×#121C251512yes—
1089C2×#121C251512yes—
1090C2×#121C2511024yes—
1091C2×#121C251512yes—
1092C2×#121C2511024yes—
1093C2×#121C2511024yes—
1094C2×#121C251512yescomplemented
1095C2×#121C251512yescomplemented
1096C2×#121C2511024yescomplemented
1097C2×#120—23584no—
1098C2×#120—23584no—
1099C2×#120—43584no—
1100C2×#120—43584no—
1101C2×#120C251512yes—
1102C2×#120C251512yes—
1103C2×#120C2511024yes—
1104C2×#120C2511024yes—
1105C2×C4×D4—27168no—
1106C2×C4×D4—23584no—
1107C2×C4×D4—23584no—
1108C2×C4×D4C22×D417168yescomplemented
1109C2×C4×D4C251512yes—
1110C2×C4×D4C251512yes—
1111C2×C4×D4C251512yescomplemented
1112C2×C4×D4C2511024yescomplemented
1113C2×#117—23584no—
1114C2×#117C251512yescomplemented
1115C22×C4⋊C4—2224no—
1116C22×C4⋊C4—2224no—
1117C22×C4⋊C4—2448no—
1118C22×C4⋊C4—23584no—
1119C22×C4⋊C4—2224no—
1120C22×C4⋊C4—2224no—
1121C22×C4⋊C4—2448no—
1122C22×C4⋊C4—2224no—
1123C22×C4⋊C4—2224no—
1124C22×C4⋊C4—2448no—
1125C22×C4⋊C4—4224no—
1126C22×C4⋊C4—4224no—
1127C22×C4⋊C4—4224no—
1128C22×C4⋊C4—4224no—
1129C22×C4⋊C4—4224no—
1130C22×C4⋊C4—4224no—
1131C22×C4⋊C4C22×D41448yes—
1132C22×C4⋊C4C251224yes—
1133C22×C4⋊C4C251224yes—
1134C22×C4⋊C4C251112yes—
1135C22×C4⋊C4C251112yes—
1136C22×C4⋊C4C251224yes—
1137C22×C4⋊C4C251112yes—
1138C22×C4⋊C4C251112yes—
1139C22×C4⋊C4C251112yes—
1140C22×C4⋊C4C251112yes—
1141C22×C4⋊C4C251224yes—
1142C22×C4⋊C4C251224yes—
1143C22×C4⋊C4C251224yes—
1144C22×C4⋊C4C251224yes—
1145C22×C4⋊C4C251224yes—
1146C22×C4⋊C4C251224yes—
1147C22×C4⋊C4C251112yes—
1148C22×C4⋊C4C251512yescomplemented
1149C22×C22⋊C4—2448no—
1150C22×C22⋊C4—2448no—
1151C22×C22⋊C4—2448no—
1152C22×C22⋊C4—2448no—
1153C22×C22⋊C4—2224no—
1154C22×C22⋊C4—2224no—
1155C22×C22⋊C4—2224no—
1156C22×C22⋊C4—2224no—
1157C22×C22⋊C4—2224no—
1158C22×C22⋊C4—2224no—
1159C22×C22⋊C4—2224no—
1160C22×C22⋊C4—23584no—
1161C22×C22⋊C4—23584no—
1162C22×C22⋊C4—2224no—
1163C22×C22⋊C4—2448no—
1164C22×C22⋊C4—2448no—
1165C22×C22⋊C4—2224no—
1166C22×C22⋊C4—2224no—
1167C22×C22⋊C4—2448no—
1168C22×C22⋊C4—43584no—
1169C22×C22⋊C4—4224no—
1170C22×C22⋊C4—4224no—
1171C22×C22⋊C4—4224no—
1172C22×C22⋊C4—4224no—
1173C22×C22⋊C4—4224no—
1174C22×C22⋊C4—4224no—
1175C22×C22⋊C4—4224no—
1176C22×C22⋊C4—4224no—
1177C22×C22⋊C4—4224no—
1178C22×C22⋊C4—4224no—
1179C22×C22⋊C4—4224no—
1180C22×C22⋊C4—4224no—
1181C22×C22⋊C4—4224no—
1182C22×C22⋊C4—4224no—
1183C22×C22⋊C4—4224no—
1184C22×C22⋊C4—4224no—
1185C22×C22⋊C4C22×D41448yes—
1186C22×C22⋊C4C22×D41448yes—
1187C22×C22⋊C4C251512yes—
1188C22×C22⋊C4C251224yes—
1189C22×C22⋊C4C251112yes—
1190C22×C22⋊C4C251224yes—
1191C22×C22⋊C4C251112yes—
1192C22×C22⋊C4C251112yes—
1193C22×C22⋊C4C251112yes—
1194C22×C22⋊C4C251224yes—
1195C22×C22⋊C4C251224yes—
1196C22×C22⋊C4C251112yes—
1197C22×C22⋊C4C251224yes—
1198C22×C22⋊C4C251112yes—
1199C22×C22⋊C4C251112yes—
1200C22×C22⋊C4C251112yes—
1201C22×C22⋊C4C251112yes—
1202C22×C22⋊C4C251224yes—
1203C22×C22⋊C4C251112yes—
1204C22×C22⋊C4C251512yes—
1205C22×C22⋊C4C251224yes—
1206C22×C22⋊C4C251224yes—
1207C22×C22⋊C4C251224yes—
1208C22×C22⋊C4C251224yes—
1209C22×C22⋊C4C251224yes—
1210C22×C22⋊C4C251224yes—
1211C22×C22⋊C4C251224yes—
1212C22×C22⋊C4C251224yes—
1213C22×C22⋊C4C251224yes—
1214C22×C22⋊C4C251224yes—
1215C22×C22⋊C4C251224yes—
1216C22×C22⋊C4C251224yes—
1217C22×C22⋊C4C251224yes—
1218C22×C22⋊C4C251224yes—
1219C22×C22⋊C4C251224yes—
1220C22×C22⋊C4C251224yes—
1221C22×C22⋊C4C251224yes—
1222C22×C22⋊C4C2511024yes—
1223C22×C22⋊C4C251112yes—
1224C22×C22⋊C4C251112yes—
1225C22×C42—2448no—
1226C22×C42—4224no—
1227C22×C42C22×D41448yes—
1228C22×C42C251224yes—
1229C22×C42C251224yes—
1230C22×C42C251112yes—
1231#399C251512yes—
1232#399C251512yescomplemented
1233#399C251512yescomplemented
1234#399C251512yescomplemented
1235#399C2511024yescomplemented
1236#398C2511024yescomplemented
1237#397C251512yes—
1238#397C2511024yes—
1239#397C251512yes—
1240#397C251512yescomplemented
1241#397C251512yescomplemented
1242#397C251512yescomplemented
1243#397C251512yescomplemented
1244#397C251512yescomplemented
1245#397C251512yescomplemented
1246#397C2511024yescomplemented
1247#397C2511024yescomplemented
1248#396C2511024yescomplemented
1249#396C2511024yescomplemented
1250#395C2511024yescomplemented
1251#394C2511024yes—
1252#394C2511024yes—
1253#394C2511024yes—
1254#394C2511024yes—
1255#394C2511024yescomplemented
1256#394C2511024yescomplemented
1257#393C2511024yescomplemented
1258#392C251512yes—
1259#392C2511024yes—
1260#392C2511024yes—
1261#392C251512yescomplemented
1262#392C251512yescomplemented
1263#392C2511024yescomplemented
1264#392C251512yescomplemented
1265#392C2511024yescomplemented
1266#392C2511024yescomplemented
1267#390C2511024yes—
1268#390C2511024yescomplemented
1269#390C2511024yescomplemented
1270#390C2511024yescomplemented
1271#389C2511024yescomplemented
1272#388C2511024yes—
1273#388C2511024yescomplemented
1274#388C2511024yescomplemented
1275#387C2511024yescomplemented
1276#386C2511024yes—
1277#386C2511024yes—
1278#386C2511024yes—
1279#386C2511024yescomplemented
1280#386C2511024yescomplemented
1281#386C2511024yescomplemented
1282#386C2511024yescomplemented
1283#386C2511024yescomplemented
1284#385C2511024yes—
1285#385C2511024yescomplemented
1286#385C2511024yescomplemented
1287#385C2511024yescomplemented
1288#383C251512yescomplemented
1289#382C251512yescomplemented
1290#382C2511024yescomplemented
1291#381C251512yescomplemented
1292#380C251512yescomplemented
1293#380C2511024yescomplemented
1294#379C2511024yes—
1295C4×C22⋊C4C251512yescomplemented
1296C2×#95C251224yes—
1297C2×#95C251224yes—
1298C2×#95C251112yes—
1299C2×#95C251224yes—
1300C2×#95C251112yes—
1301C2×#95C251112yes—
1302C2×#95C251224yes—
1303C2×#95C251112yes—
1304C2×#95C251224yes—
1305C2×#95C251224yes—
1306C2×#95C251224yes—
1307C2×#95C251224yes—
1308C2×#95C251224yes—
1309C2×#95C251224yes—
1310C2×#95C251224yes—
1311C2×#95C251224yes—
1312C2×#95C251224yes—
1313C2×#95C251512yescomplemented
1314C2×#95C2511024yescomplemented
1315C25—256no—
1316C25—2112no—
1317C25—256no—
1318C25—2128no—
1319C25—2128no—
1320C25—2256no—
1321C25—2256no—
1322C25—256no—
1323C25—256no—
1324C25—2112no—
1325C25—2112no—
1326C25—2112no—
1327C25—256no—
1328C25—2112no—
1329C25—256no—
1330C25—2128no—
1331C25—2128no—
1332C25—2128no—
1333C25—2128no—
1334C25—2256no—
1335C25—2112no—
1336C25—256no—
1337C25—256no—
1338C25—256no—
1339C25—2448no—
1340C25—256no—
1341C25—2112no—
1342C25—256no—
1343C25—256no—
1344C25—2112no—
1345C25—2112no—
1346C25—2112no—
1347C25—2112no—
1348C25—2112no—
1349C25—256no—
1350C25—256no—
1351C25—2112no—
1352C25—2112no—
1353C25—2112no—
1354C25—2112no—
1355C25—2112no—
1356C25—2112no—
1357C25—256no—
1358C25—2448no—
1359C25—2448no—
1360C25—2896no—
1361C25—2448no—
1362C25—4448no—
1363C25—4448no—
1364C25—4224no—
1365C25—4224no—
1366C25—4448no—
1367C25—43584no—
1368C25—41792no—
1369C25—41792no—
1370C25—41792no—
1371C25—464no—
1372C25—464no—
1373C25—4128no—
1374C25—4128no—
1375C25—4128no—
1376C25—464no—
1377C25—41792no—
1378C25—464no—
1379C25—464no—
1380C25—4128no—
1381C25—4128no—
1382C25—464no—
1383C25—464no—
1384C25—464no—
1385C25—4128no—
1386C25—464no—
1387C25—464no—
1388C25—464no—
1389C25—4128no—
1390C25—4128no—
1391C25—4128no—
1392C25—4128no—
1393C25—4128no—
1394C25—4128no—
1395C25—4128no—
1396C25—4128no—
1397C25—4128no—
1398C25—4128no—
1399C25—81792no—
1400C25—8896no—
1401C25—81792no—
1402C25—8896no—
1403C25—84096no—
1404C25—81792no—
1405C25—84096no—
1406C25#5351256yes—
1407C25C23×D41112yes—
1408C25C23×D41112yes—
1409C25C23×D418yes—
1410C25C2×H(5,𝔽2)1112yes—
1411C25C2×H(5,𝔽2)1224yes—
1412C25C2×H(5,𝔽2)116yes—
1413C25C2×H(5,𝔽2)18yes—
1414C25#585116yes—
1415C25#58518yes—
1416C25C26128yes—
1417C25C26128yes—
1418C25C26156yes—
1419C25C26128yes—
1420C25C26128yes—
1421C25C26128yes—
1422C25C26164yes—
1423C25C26128yes—
1424C25C26164yes—
1425C25C2617yes—
1426C2×#41—22048no—
1427C2×#41—42048no—
1428C2×#41—428672no—
1429C22×Q8—2448no—
1430C22×Q8—4448no—
1431C22×Q8—41792no—
1432C22×Q8C26164yes—
1433C22×D4—2896no—
1434C22×D4—23584no—
1435C22×D4—2896no—
1436C22×D4—2448no—
1437C22×D4—2448no—
1438C22×D4—2448no—
1439C22×D4—2448no—
1440C22×D4—2896no—
1441C22×D4—2448no—
1442C22×D4—2896no—
1443C22×D4—2896no—
1444C22×D4—2896no—
1445C22×D4—2896no—
1446C22×D4—2896no—
1447C22×D4—22048no—
1448C22×D4—2448no—
1449C22×D4—2448no—
1450C22×D4—2448no—
1451C22×D4—2448no—
1452C22×D4—2448no—
1453C22×D4—4448no—
1454C22×D4—4448no—
1455C22×D4—4224no—
1456C22×D4—4448no—
1457C22×D4—4448no—
1458C22×D4—41792no—
1459C22×D4—41792no—
1460C22×D4—41792no—
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—4448no—
1471C22×D4—4448no—
1472C22×D4—4448no—
1473C22×D4—4448no—
1474C22×D4—4448no—
1475C22×D4—4448no—
1476C22×D4—42048no—
1477C22×D4—428672no—
1478C22×D4—41792no—
1479C22×D4—41792no—
1480C22×D4—43584no—
1481C22×D4—41792no—
1482C22×D4—41792no—
1483C22×D4—8896no—
1484C22×D4—8896no—
1485C22×D4—81792no—
1486C22×D4—81792no—
1487C22×D4—81792no—
1488C22×D4—81792no—
1489C22×D4—81792no—
1490C22×D4C23×D41896yes—
1491C22×D4C261128yes—
1492C22×D4C26164yes—
1493C22×D4C26164yes—
1494C22×D4C26164yes—
1495C22×D4C26164yes—
1496C22×D4C26164yes—
1497C22×D4C261128yes—
1498C22×D4C26164yes—
1499C22×D4C26164yes—
1500C22×D4C261128yes—
1501C22×D4C26164yes—
1502C22×D4C26164yes—
1503C22×D4C26164yes—
1504C22×D4C261128yes—
1505C22×D4C261128yes—
1506C22×D4C261128yes—
1507C23×C4—256no—
1508C23×C4—2112no—
1509C23×C4—2112no—
1510C23×C4—2112no—
1511C23×C4—256no—
1512C23×C4—2112no—
1513C23×C4—2128no—
1514C23×C4—2128no—
1515C23×C4—2128no—
1516C23×C4—2128no—
1517C23×C4—2128no—
1518C23×C4—256no—
1519C23×C4—256no—
1520C23×C4—256no—
1521C23×C4—2112no—
1522C23×C4—2112no—
1523C23×C4—2448no—
1524C23×C4—2448no—
1525C23×C4—2112no—
1526C23×C4—256no—
1527C23×C4—2112no—
1528C23×C4—2112no—
1529C23×C4—2112no—
1530C23×C4—2112no—
1531C23×C4—2112no—
1532C23×C4—2112no—
1533C23×C4—2112no—
1534C23×C4—2112no—
1535C23×C4—2112no—
1536C23×C4—2112no—
1537C23×C4—2112no—
1538C23×C4—2112no—
1539C23×C4—2112no—
1540C23×C4—2112no—
1541C23×C4—2112no—
1542C23×C4—2896no—
1543C23×C4—2112no—
1544C23×C4—2112no—
1545C23×C4—2112no—
1546C23×C4—2112no—
1547C23×C4—2112no—
1548C23×C4—2112no—
1549C23×C4—2112no—
1550C23×C4—2896no—
1551C23×C4—2896no—
1552C23×C4—2448no—
1553C23×C4—2448no—
1554C23×C4—2896no—
1555C23×C4—41792no—
1556C23×C4—41792no—
1557C23×C4—4448no—
1558C23×C4—4448no—
1559C23×C4—4448no—
1560C23×C4—4448no—
1561C23×C4—4448no—
1562C23×C4—4448no—
1563C23×C4—4448no—
1564C23×C4—4448no—
1565C23×C4—4448no—
1566C23×C4—4448no—
1567C23×C4—4448no—
1568C23×C4—41792no—
1569C23×C4—41792no—
1570C23×C4—41792no—
1571C23×C4—464no—
1572C23×C4—464no—
1573C23×C4—464no—
1574C23×C4—464no—
1575C23×C4—41792no—
1576C23×C4—4128no—
1577C23×C4—4128no—
1578C23×C4—4128no—
1579C23×C4—4128no—
1580C23×C4—4128no—
1581C23×C4—4128no—
1582C23×C4—4128no—
1583C23×C4—81792no—
1584C23×C4—81792no—
1585C23×C4—81792no—
1586C23×C4C23×D41112yes—
1587C23×C4C23×D41112yes—
1588C23×C4C23×D41112yes—
1589C23×C4C23×D41112yes—
1590C23×C4C23×D41112yes—
1591C23×C4C23×D41896yes—
1592C23×C4C23×D41896yes—
1593C23×C4C26156yes—
1594C23×C4C26156yes—
1595C23×C4C26156yes—
1596C23×C4C26156yes—
1597C23×C4C26156yes—
1598C23×C4C26128yes—
1599C23×C4C26128yes—
1600C23×C4C26128yes—
1601C23×C4C26156yes—
1602C23×C4C26156yes—
1603C23×C4C26128yes—
1604C23×C4C26164yes—
1605C23×C4C26128yes—
1606C23×C4C26128yes—
1607C23×C4C26128yes—
1608C23×C4C26128yes—
1609C23×C4C26128yes—
1610C23×C4C261128yes—
1611C23×C4C261128yes—
1612C23×C4C26164yes—
1613C23×C4C26164yes—
1614C23×C4C26164yes—
1615C23×C4C261128yes—
1616C23×C4C26164yes—
1617C23×C4C26164yes—
1618#126—24096no—
1619#125—22048no—
1620#124—22048no—
1621#123—22048no—
1622#123—22048no—
1623#123—24096no—
1624#123—42048no—
1625C22⋊Q8—22048no—
1626#121—24096no—
1627#121—22048no—
1628#121—22048no—
1629#121—22048no—
1630#121—22048no—
1631#121—22048no—
1632#121—42048no—
1633#121—42048no—
1634#121—42048no—
1635#120—22048no—
1636#120—22048no—
1637#120—42048no—
1638#120—42048no—
1639C4×D4—24096no—
1640C4×D4—22048no—
1641C4×D4—22048no—
1642C4×D4C23×D414096yescomplemented
1643#117—22048no—
1644C2×C4⋊C4—2448no—
1645C2×C4⋊C4—2448no—
1646C2×C4⋊C4—2896no—
1647C2×C4⋊C4—22048no—
1648C2×C4⋊C4—2448no—
1649C2×C4⋊C4—2448no—
1650C2×C4⋊C4—2896no—
1651C2×C4⋊C4—2448no—
1652C2×C4⋊C4—2448no—
1653C2×C4⋊C4—2896no—
1654C2×C4⋊C4—4448no—
1655C2×C4⋊C4—4448no—
1656C2×C4⋊C4—4448no—
1657C2×C4⋊C4—4448no—
1658C2×C4⋊C4—4448no—
1659C2×C4⋊C4—4448no—
1660C2×C4⋊C4C23×D41896yes—
1661C2×C4⋊C4C26164yes—
1662C2×C4⋊C4C26164yes—
1663C2×C4⋊C4C261128yes—
1664C2×C4⋊C4C26164yes—
1665C2×C4⋊C4C26164yes—
1666C2×C4⋊C4C261128yes—
1667C2×C4⋊C4C26164yes—
1668C2×C4⋊C4C26164yes—
1669C2×C4⋊C4C261128yes—
1670C2×C4⋊C4C261128yes—
1671C2×C4⋊C4C261128yes—
1672C2×C4⋊C4C261128yes—
1673C2×C4⋊C4C261128yes—
1674C2×C4⋊C4C261128yes—
1675C2×C4⋊C4C261128yes—
1676C2×C4⋊C4C26164yes—
1677C2×C22⋊C4—2896no—
1678C2×C22⋊C4—2896no—
1679C2×C22⋊C4—2896no—
1680C2×C22⋊C4—2896no—
1681C2×C22⋊C4—2448no—
1682C2×C22⋊C4—2448no—
1683C2×C22⋊C4—2448no—
1684C2×C22⋊C4—2448no—
1685C2×C22⋊C4—2448no—
1686C2×C22⋊C4—2448no—
1687C2×C22⋊C4—2448no—
1688C2×C22⋊C4—22048no—
1689C2×C22⋊C4—22048no—
1690C2×C22⋊C4—2448no—
1691C2×C22⋊C4—2896no—
1692C2×C22⋊C4—2896no—
1693C2×C22⋊C4—2448no—
1694C2×C22⋊C4—2448no—
1695C2×C22⋊C4—2896no—
1696C2×C22⋊C4—42048no—
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⋊C4—4448no—
1705C2×C22⋊C4—4448no—
1706C2×C22⋊C4—4448no—
1707C2×C22⋊C4—4448no—
1708C2×C22⋊C4—4448no—
1709C2×C22⋊C4—4448no—
1710C2×C22⋊C4—4448no—
1711C2×C22⋊C4—4448no—
1712C2×C22⋊C4—4448no—
1713C2×C22⋊C4C23×D41896yes—
1714C2×C22⋊C4C23×D41896yes—
1715C2×C22⋊C4C26164yes—
1716C2×C22⋊C4C26164yes—
1717C2×C22⋊C4C26164yes—
1718C2×C22⋊C4C261128yes—
1719C2×C22⋊C4C26164yes—
1720C2×C22⋊C4C26164yes—
1721C2×C22⋊C4C26164yes—
1722C2×C22⋊C4C26164yes—
1723C2×C22⋊C4C261128yes—
1724C2×C22⋊C4C261128yes—
1725C2×C22⋊C4C26164yes—
1726C2×C22⋊C4C261128yes—
1727C2×C22⋊C4C261128yes—
1728C2×C22⋊C4C26164yes—
1729C2×C22⋊C4C26164yes—
1730C2×C22⋊C4C261128yes—
1731C2×C22⋊C4C261128yes—
1732C2×C22⋊C4C261128yes—
1733C2×C22⋊C4C261128yes—
1734C2×C22⋊C4C261128yes—
1735C2×C22⋊C4C261128yes—
1736C2×C22⋊C4C261128yes—
1737C2×C22⋊C4C261128yes—
1738C2×C22⋊C4C261128yes—
1739C2×C22⋊C4C261128yes—
1740C2×C22⋊C4C261128yes—
1741C2×C22⋊C4C261128yes—
1742C2×C22⋊C4C261128yes—
1743C2×C22⋊C4C261128yes—
1744C2×C22⋊C4C261128yes—
1745C2×C22⋊C4C261128yes—
1746C2×C22⋊C4C261128yes—
1747C2×C22⋊C4C261128yes—
1748C2×C22⋊C4C26164yes—
1749C2×C22⋊C4C26164yes—
1750C2×C42—2896no—
1751C2×C42—4448no—
1752C2×C42C23×D41896yes—
1753C2×C42C261128yes—
1754C2×C42C261128yes—
1755C2×C42C26164yes—
1756#95C26164yes—
1757#95C261128yes—
1758#95C26164yes—
1759#95C261128yes—
1760#95C261128yes—
1761#95C261128yes—
1762#95C261128yes—
1763#95C26164yes—
1764#95C26164yes—
1765#95C261128yes—
1766#95C261128yes—
1767#95C261128yes—
1768#95C261128yes—
1769#95C261128yes—
1770#95C261128yes—
1771#95C261128yes—
1772#95C261128yes—
1773C24—2896no—
1774C24—2896no—
1775C24—2448no—
1776C24—2448no—
1777C24—256no—
1778C24—2112no—
1779C24—256no—
1780C24—22048no—
1781C24—2896no—
1782C24—2448no—
1783C24—2448no—
1784C24—2448no—
1785C24—256no—
1786C24—256no—
1787C24—2112no—
1788C24—2112no—
1789C24—2112no—
1790C24—256no—
1791C24—2112no—
1792C24—256no—
1793C24—2448no—
1794C24—2112no—
1795C24—256no—
1796C24—256no—
1797C24—256no—
1798C24—2128no—
1799C24—256no—
1800C24—2112no—
1801C24—256no—
1802C24—256no—
1803C24—2112no—
1804C24—2112no—
1805C24—2112no—
1806C24—2112no—
1807C24—2112no—
1808C24—256no—
1809C24—256no—
1810C24—2112no—
1811C24—2112no—
1812C24—2112no—
1813C24—2112no—
1814C24—2112no—
1815C24—2112no—
1816C24—256no—
1817C24—2128no—
1818C24—2128no—
1819C24—2256no—
1820C24—2128no—
1821C24—4128no—
1822C24—464no—
1823C24—4128no—
1824C24—464no—
1825C24—4128no—
1826C24—43584no—
1827C24—41792no—
1828C24—41792no—
1829C24—41792no—
1830C24—4448no—
1831C24—4448no—
1832C24—4448no—
1833C24—4224no—
1834C24—41024no—
1835C24—41024no—
1836C24—4224no—
1837C24—4448no—
1838C24—4448no—
1839C24—4448no—
1840C24—4448no—
1841C24—4448no—
1842C24—4448no—
1843C24—4448no—
1844C24—4448no—
1845C24—4448no—
1846C24—4448no—
1847C24—4448no—
1848C24—4224no—
1849C24—4224no—
1850C24—4224no—
1851C24—4448no—
1852C24—4224no—
1853C24—4224no—
1854C24—4224no—
1855C24—4224no—
1856C24—41792no—
1857C24—4224no—
1858C24—4224no—
1859C24—4448no—
1860C24—81792no—
1861C24—8896no—
1862C24—81792no—
1863C24—8896no—
1864C24—814336no—
1865C24—81792no—
1866C24—814336no—
1867C24—8512no—
1868C24—81024no—
1869C24—8512no—
1870C24—8512no—
1871C24C2×#5351896yes—
1872C24C2×#535164yes—
1873C24#3485164yes—
1874C24#3488164yes—
1875C24#35341128yes—
1876C24#35601128yes—
1877C24C24×D41112yes—
1878C24C24×D41112yes—
1879C24C24×D4128yes—
1880C24C22×H(5,𝔽2)1112yes—
1881C24C22×H(5,𝔽2)1224yes—
1882C24C22×H(5,𝔽2)128yes—
1883C24C22×H(5,𝔽2)156yes—
1884C24C2×#585156yes—
1885C24C2×#585128yes—
1886C24C2718yes—
1887C24C2718yes—
1888C24C27116yes—
1889C24C2718yes—
1890C24C2718yes—
1891C24C2718yes—
1892C24C2718yes—
1893C24C2717yes—
1894#41—48192no—
1895C2×Q8—2128no—
1896C2×Q8—4128no—
1897C2×Q8—41792no—
1898C2×D4—2256no—
1899C2×D4—23584no—
1900C2×D4—2256no—
1901C2×D4—2128no—
1902C2×D4—2128no—
1903C2×D4—2128no—
1904C2×D4—2128no—
1905C2×D4—2256no—
1906C2×D4—2128no—
1907C2×D4—2256no—
1908C2×D4—2256no—
1909C2×D4—2256no—
1910C2×D4—2256no—
1911C2×D4—2256no—
1912C2×D4—2128no—
1913C2×D4—2128no—
1914C2×D4—2128no—
1915C2×D4—2128no—
1916C2×D4—2128no—
1917C2×D4—4128no—
1918C2×D4—4128no—
1919C2×D4—464no—
1920C2×D4—4128no—
1921C2×D4—4128no—
1922C2×D4—41792no—
1923C2×D4—41792no—
1924C2×D4—41792no—
1925C2×D4—4128no—
1926C2×D4—4128no—
1927C2×D4—4128no—
1928C2×D4—4128no—
1929C2×D4—4128no—
1930C2×D4—4128no—
1931C2×D4—4128no—
1932C2×D4—4128no—
1933C2×D4—4128no—
1934C2×D4—4128no—
1935C2×D4—4128no—
1936C2×D4—4128no—
1937C2×D4—4128no—
1938C2×D4—4128no—
1939C2×D4—4128no—
1940C2×D4—48192no—
1941C2×D4—41792no—
1942C2×D4—41792no—
1943C2×D4—43584no—
1944C2×D4—41792no—
1945C2×D4—41792no—
1946C2×D4—8896no—
1947C2×D4—8896no—
1948C2×D4—81792no—
1949C2×D4—81792no—
1950C2×D4—81792no—
1951C2×D4—81792no—
1952C2×D4—81792no—
1953C2×D4C24×D41256yes—
1954C22×C4—2448no—
1955C22×C4—2448no—
1956C22×C4—2448no—
1957C22×C4—2448no—
1958C22×C4—256no—
1959C22×C4—2112no—
1960C22×C4—2112no—
1961C22×C4—2112no—
1962C22×C4—2112no—
1963C22×C4—256no—
1964C22×C4—2448no—
1965C22×C4—2112no—
1966C22×C4—2112no—
1967C22×C4—256no—
1968C22×C4—256no—
1969C22×C4—256no—
1970C22×C4—2128no—
1971C22×C4—2128no—
1972C22×C4—2112no—
1973C22×C4—256no—
1974C22×C4—2112no—
1975C22×C4—2112no—
1976C22×C4—2112no—
1977C22×C4—2112no—
1978C22×C4—2112no—
1979C22×C4—2112no—
1980C22×C4—2112no—
1981C22×C4—2112no—
1982C22×C4—2112no—
1983C22×C4—2112no—
1984C22×C4—2112no—
1985C22×C4—2112no—
1986C22×C4—2112no—
1987C22×C4—2112no—
1988C22×C4—2112no—
1989C22×C4—2256no—
1990C22×C4—2112no—
1991C22×C4—2112no—
1992C22×C4—2112no—
1993C22×C4—2112no—
1994C22×C4—2112no—
1995C22×C4—2112no—
1996C22×C4—2112no—
1997C22×C4—2256no—
1998C22×C4—2256no—
1999C22×C4—2128no—
2000C22×C4—2128no—
2001C22×C4—2256no—
2002C22×C4—41792no—
2003C22×C4—41792no—
2004C22×C4—4128no—
2005C22×C4—4128no—
2006C22×C4—4128no—
2007C22×C4—4128no—
2008C22×C4—4128no—
2009C22×C4—4128no—
2010C22×C4—4128no—
2011C22×C4—4128no—
2012C22×C4—4128no—
2013C22×C4—4128no—
2014C22×C4—4128no—
2015C22×C4—41792no—
2016C22×C4—41792no—
2017C22×C4—41792no—
2018C22×C4—4448no—
2019C22×C4—4448no—
2020C22×C4—4448no—
2021C22×C4—4448no—
2022C22×C4—4448no—
2023C22×C4—4448no—
2024C22×C4—4224no—
2025C22×C4—4224no—
2026C22×C4—4224no—
2027C22×C4—4224no—
2028C22×C4—41792no—
2029C22×C4—4448no—
2030C22×C4—81792no—
2031C22×C4—81792no—
2032C22×C4—81792no—
2033C22×C4C24×D41112yes—
2034C22×C4C24×D41112yes—
2035C22×C4C24×D41112yes—
2036C22×C4C24×D41112yes—
2037C22×C4C24×D41112yes—
2038C22×C4C24×D41256yes—
2039C22×C4C24×D41256yes—
2040C22×C4C27116yes—
2041C22×C4C27116yes—
2042C22×C4C27116yes—
2043C22×C4C27116yes—
2044C22×C4C27116yes—
2045C22×C4C27116yes—
2046C22×C4C2718yes—
2047C22×C4C2718yes—
2048C22×C4C2718yes—
2049C22×C4C2718yes—
2050C22×C4C27116yes—
2051C22×C4C2718yes—
2052C22×C4C2718yes—
2053C22×C4C2718yes—
2054C22×C4C2718yes—
2055C22×C4C2718yes—
2056C4⋊C4—2128no—
2057C4⋊C4—2128no—
2058C4⋊C4—2256no—
2059C4⋊C4—2128no—
2060C4⋊C4—2128no—
2061C4⋊C4—2256no—
2062C4⋊C4—2128no—
2063C4⋊C4—2128no—
2064C4⋊C4—2256no—
2065C4⋊C4—4128no—
2066C4⋊C4—4128no—
2067C4⋊C4—4128no—
2068C4⋊C4—4128no—
2069C4⋊C4—4128no—
2070C4⋊C4—4128no—
2071C4⋊C4C24×D41256yes—
2072C22⋊C4—2256no—
2073C22⋊C4—2256no—
2074C22⋊C4—2256no—
2075C22⋊C4—2256no—
2076C22⋊C4—2128no—
2077C22⋊C4—2128no—
2078C22⋊C4—2128no—
2079C22⋊C4—2128no—
2080C22⋊C4—2128no—
2081C22⋊C4—2128no—
2082C22⋊C4—2128no—
2083C22⋊C4—2128no—
2084C22⋊C4—2256no—
2085C22⋊C4—2256no—
2086C22⋊C4—2128no—
2087C22⋊C4—2128no—
2088C22⋊C4—2256no—
2089C22⋊C4—4128no—
2090C22⋊C4—4128no—
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—
2104C22⋊C4—4128no—
2105C22⋊C4C24×D41256yes—
2106C22⋊C4C24×D41256yes—
2107C42—2256no—
2108C42—4128no—
2109C42C24×D41256yes—
2110C23—2448no—
2111C23—2448no—
2112C23—2224no—
2113C23—2224no—
2114C23—28no—
2115C23—28no—
2116C23—216no—
2117C23—23584no—
2118C23—2448no—
2119C23—2224no—
2120C23—2224no—
2121C23—2224no—
2122C23—2224no—
2123C23—28no—
2124C23—28no—
2125C23—216no—
2126C23—216no—
2127C23—216no—
2128C23—28no—
2129C23—216no—
2130C23—28no—
2131C23—216no—
2132C23—28no—
2133C23—28no—
2134C23—28no—
2135C23—28no—
2136C23—216no—
2137C23—28no—
2138C23—28no—
2139C23—216no—
2140C23—216no—
2141C23—216no—
2142C23—216no—
2143C23—216no—
2144C23—28no—
2145C23—28no—
2146C23—216no—
2147C23—216no—
2148C23—216no—
2149C23—216no—
2150C23—28no—
2151C23—216no—
2152C23—216no—
2153C23—4512no—
2154C23—4256no—
2155C23—4256no—
2156C23—4256no—
2157C23—4224no—
2158C23—4224no—
2159C23—4224no—
2160C23—4112no—
2161C23—4112no—
2162C23—41792no—
2163C23—41792no—
2164C23—4224no—
2165C23—4224no—
2166C23—4224no—
2167C23—4224no—
2168C23—4224no—
2169C23—4224no—
2170C23—4224no—
2171C23—4224no—
2172C23—4224no—
2173C23—4224no—
2174C23—4112no—
2175C23—4256no—
2176C23—4112no—
2177C23—4112no—
2178C23—4224no—
2179C23—4224no—
2180C23—4112no—
2181C23—4112no—
2182C23—4112no—
2183C23—4224no—
2184C23—4112no—
2185C23—4112no—
2186C23—4112no—
2187C23—8256no—
2188C23—8128no—
2189C23—8256no—
2190C23—8128no—
2191C23—87168no—
2192C23—8256no—
2193C23—87168no—
2194C23—81792no—
2195C23—8896no—
2196C23—8896no—
2197C23—8896no—
2198C23#414101512yesdirect product factor
2199C23C22×#5351448yes—
2200C23C22×#5351112yes—
2201C23C2×#35341224yes—
2202C23C2×#35601224yes—
2203C23C2×#34851112yes—
2204C23C2×#34881112yes—
2205C23C25×D4116yes—
2206C23C25×D4116yes—
2207C23C25×D4114yes—
2208C23C23×H(5,𝔽2)116yes—
2209C23C23×H(5,𝔽2)132yes—
2210C23C23×H(5,𝔽2)114yes—
2211C23C23×H(5,𝔽2)128yes—
2212C23C22×#585128yes—
2213C23C22×#585114yes—
2214C23C2811yescharacteristic
2215Q8—4256no—
2216D4—2512no—
2217D4—4256no—
2218D4—4256no—
2219D4—4256no—
2220D4—4256no—
2221D4—4256no—
2222D4—4512no—
2223D4—4256no—
2224D4—4256no—
2225D4—8128no—
2226D4—8128no—
2227D4—8256no—
2228D4—8256no—
2229D4—8256no—
2230D4—8256no—
2231D4—8256no—
2232C2×C4—2224no—
2233C2×C4—2224no—
2234C2×C4—2224no—
2235C2×C4—2224no—
2236C2×C4—2224no—
2237C2×C4—28no—
2238C2×C4—216no—
2239C2×C4—216no—
2240C2×C4—216no—
2241C2×C4—216no—
2242C2×C4—28no—
2243C2×C4—216no—
2244C2×C4—216no—
2245C2×C4—28no—
2246C2×C4—28no—
2247C2×C4—28no—
2248C2×C4—216no—
2249C2×C4—28no—
2250C2×C4—216no—
2251C2×C4—216no—
2252C2×C4—216no—
2253C2×C4—216no—
2254C2×C4—216no—
2255C2×C4—216no—
2256C2×C4—216no—
2257C2×C4—216no—
2258C2×C4—216no—
2259C2×C4—216no—
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—4256no—
2273C2×C4—4256no—
2274C2×C4—4256no—
2275C2×C4—4256no—
2276C2×C4—4256no—
2277C2×C4—4224no—
2278C2×C4—4224no—
2279C2×C4—4224no—
2280C2×C4—4224no—
2281C2×C4—4112no—
2282C2×C4—4112no—
2283C2×C4—4112no—
2284C2×C4—4112no—
2285C2×C4—4256no—
2286C2×C4—4224no—
2287C2×C4—4224no—
2288C2×C4—4224no—
2289C2×C4—8256no—
2290C2×C4—8256no—
2291C2×C4—8256no—
2292C2×C4C25×D4116yes—
2293C2×C4C25×D4116yes—
2294C2×C4C25×D4116yes—
2295C2×C4C25×D4116yes—
2296C2×C4C25×D4116yes—
2297C22—2896no—
2298C22—232no—
2299C22—232no—
2300C22—216no—
2301C22—216no—
2302C22—216no—
2303C22—232no—
2304C22—216no—
2305C22—216no—
2306C22—216no—
2307C22—4448no—
2308C22—4448no—
2309C22—416no—
2310C22—416no—
2311C22—48no—
2312C22—416no—
2313C22—48no—
2314C22—416no—
2315C22—416no—
2316C22—416no—
2317C22—416no—
2318C22—416no—
2319C22—48no—
2320C22—48no—
2321C22—48no—
2322C22—416no—
2323C22—416no—
2324C22—416no—
2325C22—416no—
2326C22—416no—
2327C22—416no—
2328C22—416no—
2329C22—48no—
2330C22—48no—
2331C22—48no—
2332C22—416no—
2333C22—48no—
2334C22—48no—
2335C22—48no—
2336C22—8512no—
2337C22—8512no—
2338C22—8448no—
2339C22—8224no—
2340C22—8224no—
2341C22—8224no—
2342C22C2×#414101448yesdirect product factor
2343C22C23×#535132yes—
2344C22C23×#535128yes—
2345C22C22×#3485128yes—
2346C22C22×#3488128yes—
2347C22C22×#3534156yes—
2348C22C22×#3560156yes—
2349C22C26×D411yescharacteristic
2350C22C24×H(5,𝔽2)12yes—
2351C22C24×H(5,𝔽2)11yescharacteristic
2352C22C23×#58511yescharacteristic
2353C22C23×#58512yes—
2354C4—216no—
2355C4—216no—
2356C4—216no—
2357C4—216no—
2358C4—216no—
2359C4—416no—
2360C4—48no—
2361C4—48no—
2362C4—48no—
2363C4—48no—
2364C4—416no—
2365C4—416no—
2366C4—416no—
2367C4—416no—
2368C4—416no—
2369C4—416no—
2370C2—232no—
2371C2—416no—
2372C2—416no—
2373C2—816no—
2374C2—88no—
2375C2—88no—
2376C2—88no—
2377C2C23×#348811yescharacteristic
2378C2C24×#53511yescharacteristic
2379C2C23×#353412yes—
2380C2C22×#41410156yesdirect product factor
2381C2C23×#348511yescharacteristic
2382C2C23×#356012yes—
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×#2820C2semidirect
2. C23×#2624C2semidirect
3. C23×#2633C2semidirect
4. C23×#2714C2semidirect
5. C23×#2723C2semidirect
6. C24×#397C2semidirect
7. C23×#2318C2semidirect
8. C23×#2706C2semidirect
9. C23×#2815C2semidirect
10. C24×#553C2semidirect
11. C22×#41410C2direct (N × H)
12. C23×#2504C2semidirect
13. C23×#2482C2semidirect
14. C23×#2631C2semidirect
15. C23×#2678C2semidirect
16. C23×#2425C2semidirect
17. C23×#2656C2semidirect
18. C23×#2539C2semidirect
19. C23×#2617C2semidirect
20. C23×#2424C2semidirect
21. C23×#2430C2semidirect
22. C24×#546C2semidirect
23. C23×#2410C2semidirect
24. C23×#2535C2semidirect
28. C23×#553C22semidirect
30. C23×#546C22semidirect
31. C24×#126C22semidirect
32. C24×#125C22semidirect
36. C24×#123C22semidirect
37. C24×#123C22semidirect
45. C24×#121C22semidirect
46. C24×#121C22semidirect
47. C24×#121C22semidirect
54. C24×C4×D4C22semidirect
55. C24×C4×D4C22semidirect
56. C24×#117C22semidirect
57. C25×C4⋊C4C22semidirect
61. C2×#41410C22direct (N × H)
62. C22×#2723C22semidirect
63. C22×#2706C22semidirect
64. C22×#2714C22semidirect
65. C22×#2678C22semidirect
66. C22×#2820C22semidirect
67. C22×#2815C22semidirect
68. C22×#2535C22semidirect
69. C22×#2539C22semidirect
70. C22×#2482C22semidirect
71. C22×#2504C22semidirect
72. C22×#2430C22semidirect
73. C22×#2425C22semidirect
74. C22×#2424C22semidirect
75. C22×#2410C22semidirect
76. C22×#2624C22semidirect
77. C22×#2633C22semidirect
78. C22×#2631C22semidirect
79. C22×#2656C22semidirect
80. C22×#2617C22semidirect
82. C23×#399C22semidirect
83. C23×#399C22semidirect
84. C23×#399C22semidirect
85. C23×#399C22semidirect
86. C23×#398C22semidirect
90. C23×#397C22semidirect
91. C23×#397C22semidirect
92. C23×#397C22semidirect
93. C23×#397C22semidirect
94. C23×#397C22semidirect
95. C23×#397C22semidirect
96. C23×#397C22semidirect
97. C23×#397C22semidirect
98. C23×#397C22semidirect
99. C23×#396C22semidirect
100. C23×#396C22semidirect
101. C23×#395C22semidirect
106. C23×#394C22semidirect
107. C23×#394C22semidirect
108. C23×#393C22semidirect
112. C23×#392C22semidirect
113. C23×#392C22semidirect
114. C23×#392C22semidirect
115. C23×#392C22semidirect
116. C23×#392C22semidirect
117. C23×#392C22semidirect
118. C22×#2318C22semidirect
120. C23×#390C22semidirect
121. C23×#390C22semidirect
122. C23×#390C22semidirect
123. C23×#389C22semidirect
125. C23×#388C22semidirect
126. C23×#388C22semidirect
127. C23×#387C22semidirect
131. C23×#386C22semidirect
132. C23×#386C22semidirect
133. C23×#386C22semidirect
134. C23×#386C22semidirect
135. C23×#386C22semidirect
137. C23×#385C22semidirect
138. C23×#385C22semidirect
139. C23×#385C22semidirect
140. C23×#383C22semidirect
141. C23×#382C22semidirect
142. C23×#382C22semidirect
143. C23×#381C22semidirect
144. C23×#380C22semidirect
145. C23×#380C22semidirect
147. C23×C4×C22⋊C4C22semidirect
148. C24×#95C22semidirect
149. C24×#95C22semidirect
185. C22×#553C23semidirect
187. C22×#546C23semidirect
189. C23×#126C23semidirect
191. C23×#125C23semidirect
200. C23×#123C23semidirect
201. C23×#123C23semidirect
219. C23×#121C23semidirect
220. C23×#121C23semidirect
221. C23×#121C23semidirect
233. C23×C4×D4D4semidirect
236. C23×C4×D4C23semidirect
237. C23×C4×D4C23semidirect
239. C23×#117C23semidirect
257. C24×C4⋊C4C23semidirect
302. C2×#2723C23semidirect
303. C2×#2714C23semidirect
304. C2×#2706C23semidirect
305. C2×#2678C23semidirect
306. #41410C23direct (N × H)
307. C2×#2820C23semidirect
308. C2×#2815C23semidirect
309. C2×#2535C23semidirect
310. C2×#2539C23semidirect
311. C2×#2482C23semidirect
312. C2×#2504C23semidirect
313. C2×#2430C23semidirect
314. C2×#2425C23semidirect
315. C2×#2424C23semidirect
316. C2×#2410C23semidirect
317. C2×#2624C23semidirect
318. C2×#2633C23semidirect
319. C2×#2631C23semidirect
320. C2×#2656C23semidirect
321. C2×#2617C23semidirect
323. C22×#399C23semidirect
324. C22×#399C23semidirect
325. C22×#399C23semidirect
326. C22×#399C23semidirect
327. C22×#398C23semidirect
331. C22×#397C23semidirect
332. C22×#397C23semidirect
333. C22×#397C23semidirect
334. C22×#397C23semidirect
335. C22×#397C23semidirect
336. C22×#397C23semidirect
337. C22×#397C23semidirect
338. C22×#397C23semidirect
339. C22×#397C23semidirect
340. C22×#396C23semidirect
341. C22×#396C23semidirect
342. C22×#395C23semidirect
347. C22×#394C23semidirect
348. C22×#394C23semidirect
349. C22×#393C23semidirect
353. C22×#392C23semidirect
354. C22×#392C23semidirect
355. C22×#392C23semidirect
356. C22×#392C23semidirect
357. C22×#392C23semidirect
358. C22×#392C23semidirect
359. C2×#2318C23semidirect
361. C22×#390C23semidirect
362. C22×#390C23semidirect
363. C22×#390C23semidirect
364. C22×#389C23semidirect
366. C22×#388C23semidirect
367. C22×#388C23semidirect
368. C22×#387C23semidirect
372. C22×#386C23semidirect
373. C22×#386C23semidirect
374. C22×#386C23semidirect
375. C22×#386C23semidirect
376. C22×#386C23semidirect
378. C22×#385C23semidirect
379. C22×#385C23semidirect
380. C22×#385C23semidirect
381. C22×#383C23semidirect
382. C22×#382C23semidirect
383. C22×#382C23semidirect
384. C22×#381C23semidirect
385. C22×#380C23semidirect
386. C22×#380C23semidirect
388. C22×C4×C22⋊C4C23semidirect
406. C23×#95C23semidirect
407. C23×#95C23semidirect
540. C2×#553C24semidirect
542. C2×#546C24semidirect
544. C22×#126C24semidirect
546. C22×#125C24semidirect
555. C22×#123C24semidirect
556. C22×#123C24semidirect
574. C22×#121C24semidirect
575. C22×#121C24semidirect
576. C22×#121C24semidirect
588. C22×C4×D4C2×D4semidirect
591. C22×C4×D4C24semidirect
592. C22×C4×D4C24semidirect
594. C22×#117C24semidirect
628. C23×C4⋊C4C24semidirect
711. #2820C24semidirect
712. #2815C24semidirect
713. #2723C24semidirect
714. #2714C24semidirect
715. #2706C24semidirect
716. #2678C24semidirect
717. #2656C24semidirect
718. #2633C24semidirect
719. #2631C24semidirect
720. #2624C24semidirect
721. #2617C24semidirect
722. #2539C24semidirect
723. #2535C24semidirect
724. #2504C24semidirect
725. #2482C24semidirect
726. #2430C24semidirect
727. #2425C24semidirect
728. #2424C24semidirect
729. #2410C24semidirect
731. C2×#399C24semidirect
732. C2×#399C24semidirect
733. C2×#399C24semidirect
734. C2×#399C24semidirect
735. C2×#398C24semidirect
739. C2×#397C24semidirect
740. C2×#397C24semidirect
741. C2×#397C24semidirect
742. C2×#397C24semidirect
743. C2×#397C24semidirect
744. C2×#397C24semidirect
745. C2×#397C24semidirect
746. C2×#397C24semidirect
747. C2×#397C24semidirect
748. C2×#396C24semidirect
749. C2×#396C24semidirect
750. C2×#395C24semidirect
755. C2×#394C24semidirect
756. C2×#394C24semidirect
757. C2×#393C24semidirect
761. C2×#392C24semidirect
762. C2×#392C24semidirect
763. C2×#392C24semidirect
764. C2×#392C24semidirect
765. C2×#392C24semidirect
766. C2×#392C24semidirect
767. #2318C24semidirect
769. C2×#390C24semidirect
770. C2×#390C24semidirect
771. C2×#390C24semidirect
772. C2×#389C24semidirect
774. C2×#388C24semidirect
775. C2×#388C24semidirect
776. C2×#387C24semidirect
780. C2×#386C24semidirect
781. C2×#386C24semidirect
782. C2×#386C24semidirect
783. C2×#386C24semidirect
784. C2×#386C24semidirect
786. C2×#385C24semidirect
787. C2×#385C24semidirect
788. C2×#385C24semidirect
789. C2×#383C24semidirect
790. C2×#382C24semidirect
791. C2×#382C24semidirect
792. C2×#381C24semidirect
793. C2×#380C24semidirect
794. C2×#380C24semidirect
796. C2×C4×C22⋊C4C24semidirect
814. C22×#95C24semidirect
815. C22×#95C24semidirect
1064. C2×#126C25semidirect
1066. C2×#125C25semidirect
1075. C2×#123C25semidirect
1076. C2×#123C25semidirect
1094. C2×#121C25semidirect
1095. C2×#121C25semidirect
1096. C2×#121C25semidirect
1108. C2×C4×D4C22×D4semidirect
1111. C2×C4×D4C25semidirect
1112. C2×C4×D4C25semidirect
1114. C2×#117C25semidirect
1148. C22×C4⋊C4C25semidirect
1232. #399C25semidirect
1233. #399C25semidirect
1234. #399C25semidirect
1235. #399C25semidirect
1236. #398C25semidirect
1240. #397C25semidirect
1241. #397C25semidirect
1242. #397C25semidirect
1243. #397C25semidirect
1244. #397C25semidirect
1245. #397C25semidirect
1246. #397C25semidirect
1247. #397C25semidirect
1248. #396C25semidirect
1249. #396C25semidirect
1250. #395C25semidirect
1255. #394C25semidirect
1256. #394C25semidirect
1257. #393C25semidirect
1261. #392C25semidirect
1262. #392C25semidirect
1263. #392C25semidirect
1264. #392C25semidirect
1265. #392C25semidirect
1266. #392C25semidirect
1268. #390C25semidirect
1269. #390C25semidirect
1270. #390C25semidirect
1271. #389C25semidirect
1273. #388C25semidirect
1274. #388C25semidirect
1275. #387C25semidirect
1279. #386C25semidirect
1280. #386C25semidirect
1281. #386C25semidirect
1282. #386C25semidirect
1283. #386C25semidirect
1285. #385C25semidirect
1286. #385C25semidirect
1287. #385C25semidirect
1288. #383C25semidirect
1289. #382C25semidirect
1290. #382C25semidirect
1291. #381C25semidirect
1292. #380C25semidirect
1293. #380C25semidirect
1295. C4×C22⋊C4C25semidirect
1313. C2×#95C25semidirect
1314. C2×#95C25semidirect
1642. C4×D4C23×D4semidirect
2198. C23#41410direct (N × H)
2342. C22C2×#41410direct (N × H)
2380. C2C22×#41410direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#28202
C23×#26242
C23×#26332
C23×#27142
C23×#27232
C24×#3972
C23×#23182
C23×#27062
C23×#28152
C24×#5532
C22×#414102
C23×#25042
C23×#24822
C23×#26312
C23×#26782
C23×#24252
C23×#26562
C23×#25392
C23×#26172
C23×#24242
C23×#24302
C24×#5462
C23×#24102
C23×#25352