Finite Group Databasebeta

← C23×#59089 #72339216

Subgroups — C23×#59089 #72339216

Order 2048.

1841328 conjugacy classes of subgroups.

The subgroup lattice has 2328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2476C212yesmaximal, complemented
2C23×#2709C211yesmaximal, characteristic, complemented
3C23×#2450C212yesmaximal, complemented
4C23×#2444C212yesmaximal, complemented
5C23×#2697C211yesmaximal, characteristic, complemented
6C23×#2703C212yesmaximal, complemented
7C23×#2364C212yesmaximal, complemented
8C23×#2472C212yesmaximal, complemented
9C23×#2543C212yesmaximal, complemented
10C24×#386C212yesmaximal, complemented
11C22×#59089C21224yesmaximal, direct product factor
12C23×#2431C211yesmaximal, characteristic, complemented
13C23×#2424C212yesmaximal, complemented
14C23×#2404C211yesmaximal, characteristic, complemented
15C23×#2358C211yesmaximal, characteristic, complemented
16C23×D4×C22⋊C4C212yesmaximal, complemented
17C24×#525C211yesmaximal, characteristic, complemented
18C23×#2410C212yesmaximal, complemented
19C23×#2410C212yesmaximal, complemented
20C24×D42C211yesmaximal, characteristic, complemented
21C25×#41C2211yescharacteristic, complemented
22C26×D4C2212yes—
23C26×D4C2212yes—
24C27×C4C2211yescharacteristic, complemented
25C23×D42—264no—
26C23×D42C221112yescomplemented
27C24×#127C2211yescharacteristic
28C24×#124C2211yescharacteristic, complemented
29C23×#525—264no—
30C23×#525C221112yescomplemented
31C24×#123C2211yescharacteristic, complemented
32C24×#123C2211yescharacteristic, complemented
33C24×C22⋊Q8C2212yescomplemented
34C24×#121C2212yes—
35C24×#121C2212yes—
36C24×#121C2212yes—
37C24×#121C2212yescomplemented
38C24×#121C2211yescharacteristic, complemented
39C24×#121C2212yescomplemented
40C24×#120C2211yescharacteristic
41C24×#120C2212yes—
42C24×#120C2211yescharacteristic
43C24×#120C2211yescharacteristic, complemented
44C24×#120C2211yescharacteristic, complemented
45C24×#120C2212yescomplemented
46C24×C4×D4C2212yes—
47C24×C4×D4C2212yescomplemented
48C24×C4×D4C2212yescomplemented
49C24×C4×D4C2212yescomplemented
50C24×#117C2211yescharacteristic, complemented
51C25×C22⋊C4C2211yescharacteristic, complemented
52C25×C22⋊C4C2212yescomplemented
53C25×C22⋊C4C2212yescomplemented
54C25×C22⋊C4C2212yescomplemented
55C2×#59089C2217168yesdirect product factor
56C22×#2709C221112yescomplemented
57C22×#2703C221224yescomplemented
58C22×#2697C221112yescomplemented
59C22×#2543C221224yescomplemented
60C22×#2404C221112yescomplemented
61C22×#2476C221224yescomplemented
62C22×#2431C221112yescomplemented
63C22×#2450C221224yescomplemented
64C22×#2444C221224yescomplemented
65C22×#2472C221224yescomplemented
66C22×#2424C221224yescomplemented
67C22×#2410C221224yescomplemented
68C22×#2410C221224yescomplemented
69C23×#400C2212yescomplemented
70C23×#398C2212yescomplemented
71C23×#397C2212yescomplemented
72C23×#397C2212yescomplemented
73C23×#396C2212yescomplemented
74C23×#394C2212yescomplemented
75C23×#394C2212yescomplemented
76C23×#394C2212yescomplemented
77C23×#394C2212yescomplemented
78C23×#394C2212yescomplemented
79C23×#394C2212yescomplemented
80C23×#393C2212yescomplemented
81C23×#392C2212yescomplemented
82C23×#392C2212yescomplemented
83C23×#392C2212yescomplemented
84C23×#392C2212yescomplemented
85C22×#2364C221224yescomplemented
86C22×#2358C221112yescomplemented
87C22×D4×C22⋊C4C221224yescomplemented
88C23×#391C2211yescharacteristic, complemented
89C23×#390C2212yescomplemented
90C23×#390C2212yescomplemented
91C23×#390C2211yescharacteristic, complemented
92C23×#388C2212yescomplemented
93C23×#388C2212yescomplemented
94C23×#388C2212yescomplemented
95C23×#388C2212yescomplemented
96C23×#388C2212yescomplemented
97C23×#387C2212yescomplemented
98C23×#387C2212yescomplemented
99C23×#386C2212yes—
100C23×#386C2212yes—
101C23×#386C2212yes—
102C23×#386C2212yescomplemented
103C23×#386C2212yescomplemented
104C23×#386C2212yescomplemented
105C23×#386C2211yescharacteristic, complemented
106C23×#386C2212yescomplemented
107C23×#386C2211yescharacteristic, complemented
108C23×#386C2212yescomplemented
109C23×#386C2212yescomplemented
110C23×#386C2212yescomplemented
111C23×#386C2212yescomplemented
112C23×#386C2212yescomplemented
113C23×#386C2212yescomplemented
114C23×#386C2212yescomplemented
115C23×#386C2212yescomplemented
116C23×#386C2212yescomplemented
117C23×#386C221224yescomplemented
118C23×#385C2212yescomplemented
119C23×#385C2212yescomplemented
120C23×#385C2212yescomplemented
121C23×#381C2211yescharacteristic, complemented
122C23×#380C2212yescomplemented
123C23×#379C2212yescomplemented
124C23×#379C2212yescomplemented
125C23×C4×C22⋊C4C2212yescomplemented
126C23×C4×C22⋊C4C2211yescharacteristic, complemented
127C23×C4×C22⋊C4C2212yescomplemented
128C24×#95C2212yescomplemented
129C24×#95C2212yescomplemented
130C28C2312yes—
131C28C2311yescharacteristic
132C28C2311yescharacteristic
133C24×#41—232no—
134C24×#41—416no—
135C24×#41—416no—
136C24×#41C23156yescomplemented
137C25×Q8C2311yescharacteristic
138C25×D4—264no—
139C25×D4—264no—
140C25×D4—264no—
141C25×D4—264no—
142C25×D4—432no—
143C25×D4—432no—
144C25×D4C2312yes—
145C25×D4C2312yes—
146C25×D4C2312yes—
147C25×D4C2312yes—
148C25×D4C2312yes—
149C25×D4C231112yes—
150C25×D4C2311yescharacteristic
151C25×D4C2312yes—
152C25×D4C231112yes—
153C25×D4C2312yes—
154C25×D4C2312yes—
155C25×D4C2312yes—
156C25×D4C2311yescharacteristic
157C25×D4C2311yescharacteristic
158C25×D4C2312yes—
159C25×D4C2311yescharacteristic
160C26×C4—232no—
161C26×C4—416no—
162C26×C4—416no—
163C26×C4C2311yescharacteristic
164C26×C4C2312yes—
165C26×C4C2311yescharacteristic
166C26×C4C2312yes—
167C26×C4C2312yes—
168C26×C4C2312yes—
169C26×C4C2311yescharacteristic
170C26×C4C2312yes—
171C26×C4C2312yes—
172C26×C4C2311yescharacteristic
173C26×C4C2311yescharacteristic
174C26×C4C23156yescomplemented
175C22×D42—23584no—
176C22×D42C2311792yescomplemented
177C23×#127—232no—
178C23×#127C23156yes—
179C23×#124—416no—
180C23×#124C23156yescomplemented
181C22×#525—23584no—
182C22×#525C2311792yescomplemented
183C23×#123—232no—
184C23×#123—232no—
185C23×#123C23156yescomplemented
186C23×#123C23156yescomplemented
187C23×C22⋊Q8—264no—
188C23×C22⋊Q8C231112yescomplemented
189C23×#121—264no—
190C23×#121—264no—
191C23×#121—264no—
192C23×#121—264no—
193C23×#121—432no—
194C23×#121—416no—
195C23×#121C231112yes—
196C23×#121C231112yes—
197C23×#121C231112yes—
198C23×#121C231112yescomplemented
199C23×#121C231112yescomplemented
200C23×#121C23156yescomplemented
201C23×#120—264no—
202C23×#120—232no—
203C23×#120—232no—
204C23×#120—432no—
205C23×#120—416no—
206C23×#120D4164yescomplemented
207C23×#120C231112yes—
208C23×#120C23156yes—
209C23×#120C23156yes—
210C23×#120C23156yescomplemented
211C23×#120C231112yescomplemented
212C23×#120C23156yescomplemented
213C23×C4×D4—264no—
214C23×C4×D4—264no—
215C23×C4×D4—264no—
216C23×C4×D4—432no—
217C23×C4×D4C231112yes—
218C23×C4×D4C231112yescomplemented
219C23×C4×D4C231112yescomplemented
220C23×C4×D4C231112yescomplemented
221C23×#117—232no—
222C23×#117C23156yescomplemented
223C24×C4⋊C4C2312yes—
224C24×C4⋊C4C2312yes—
225C24×C4⋊C4C2312yes—
226C24×C4⋊C4C2312yes—
227C24×C4⋊C4C2312yes—
228C24×C4⋊C4C2312yes—
229C24×C4⋊C4C2311yescharacteristic
230C24×C4⋊C4C2312yes—
231C24×C22⋊C4—432no—
232C24×C22⋊C4—432no—
233C24×C22⋊C4—416no—
234C24×C22⋊C4—432no—
235C24×C22⋊C4C2312yes—
236C24×C22⋊C4C2312yes—
237C24×C22⋊C4C2312yes—
238C24×C22⋊C4C2312yes—
239C24×C22⋊C4C2311yescharacteristic
240C24×C22⋊C4C2312yes—
241C24×C22⋊C4C2312yes—
242C24×C22⋊C4C2312yes—
243C24×C22⋊C4C2312yes—
244C24×C22⋊C4C2312yes—
245C24×C22⋊C4C2311yescharacteristic
246C24×C22⋊C4C2312yes—
247C24×C22⋊C4C2312yes—
248C24×C22⋊C4C2312yes—
249C24×C22⋊C4C2312yes—
250C24×C22⋊C4C2312yes—
251C24×C22⋊C4C2312yes—
252C24×C22⋊C4C2312yes—
253C24×C22⋊C4C2312yes—
254C24×C22⋊C4C2312yes—
255C24×C22⋊C4C2312yes—
256C24×C22⋊C4C2312yes—
257C24×C22⋊C4C2311yescharacteristic
258C24×C22⋊C4C2312yes—
259C24×C22⋊C4C2312yes—
260C24×C22⋊C4C2312yes—
261C24×C22⋊C4C2312yes—
262C24×C22⋊C4C2312yes—
263C24×C22⋊C4C2312yes—
264C24×C22⋊C4C2311yescharacteristic
265C24×C22⋊C4C2312yes—
266C24×C22⋊C4C231112yescomplemented
267C24×C22⋊C4C231112yescomplemented
268C24×C22⋊C4C231112yescomplemented
269C24×C22⋊C4C23156yescomplemented
270C24×C42C2312yes—
271C24×C42C2311yescharacteristic
272C24×C42C2312yes—
273C24×C42C2311yescharacteristic
274#59089C23132768yesdirect product factor
275C2×#2709C2311792yescomplemented
276C2×#2703C2313584yescomplemented
277C2×#2697C2311792yescomplemented
278C2×#2543C2313584yescomplemented
279C2×#2404C2311792yescomplemented
280C2×#2476C2313584yescomplemented
281C2×#2431C2311792yescomplemented
282C2×#2450C2313584yescomplemented
283C2×#2444C2313584yescomplemented
284C2×#2472C2313584yescomplemented
285C2×#2424C2313584yescomplemented
286C2×#2410C2313584yescomplemented
287C2×#2410C2313584yescomplemented
288C22×#400C231112yescomplemented
289C22×#398C231112yescomplemented
290C22×#397C231112yescomplemented
291C22×#397C231112yescomplemented
292C22×#396C231112yescomplemented
293C22×#394C231112yescomplemented
294C22×#394C231112yescomplemented
295C22×#394C231112yescomplemented
296C22×#394C231112yescomplemented
297C22×#394C231112yescomplemented
298C22×#394C231112yescomplemented
299C22×#393C231112yescomplemented
300C22×#392C231112yescomplemented
301C22×#392C231112yescomplemented
302C22×#392C231112yescomplemented
303C22×#392C231112yescomplemented
304C2×#2364C2313584yescomplemented
305C2×#2358C2311792yescomplemented
306C2×D4×C22⋊C4C2313584yescomplemented
307C22×#391C23156yescomplemented
308C22×#390C231112yescomplemented
309C22×#390C231112yescomplemented
310C22×#390C23156yescomplemented
311C22×#388C231112yescomplemented
312C22×#388C231112yescomplemented
313C22×#388C231112yescomplemented
314C22×#388C231112yescomplemented
315C22×#388C231112yescomplemented
316C22×#387C231112yescomplemented
317C22×#387C231112yescomplemented
318C22×#386C231112yes—
319C22×#386C231112yes—
320C22×#386C231112yes—
321C22×#386C231112yescomplemented
322C22×#386C231112yescomplemented
323C22×#386C231112yescomplemented
324C22×#386C231112yescomplemented
325C22×#386C231112yescomplemented
326C22×#386C231112yescomplemented
327C22×#386C231112yescomplemented
328C22×#386C231112yescomplemented
329C22×#386C231112yescomplemented
330C22×#386C231112yescomplemented
331C22×#386C231112yescomplemented
332C22×#386C231112yescomplemented
333C22×#386C231112yescomplemented
334C22×#386C23156yescomplemented
335C22×#386C23156yescomplemented
336C22×#386C2313584yescomplemented
337C22×#385C231112yescomplemented
338C22×#385C231112yescomplemented
339C22×#385C231112yescomplemented
340C22×#381C23156yescomplemented
341C22×#380C231112yescomplemented
342C22×#379C231112yescomplemented
343C22×#379C231112yescomplemented
344C22×C4×C22⋊C4C231112yescomplemented
345C22×C4×C22⋊C4C23156yescomplemented
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×#95C231112yescomplemented
363C23×#95C231112yescomplemented
364C27—232no—
365C27—232no—
366C27—232no—
367C27—216no—
368C27—232no—
369C27—232no—
370C27—232no—
371C27—232no—
372C27—48no—
373C27—48no—
374C27—416no—
375C27—416no—
376C27—416no—
377C27—416no—
378C27—48no—
379C27—48no—
380C27C2×D4132yes—
381C27C2411yescharacteristic
382C27C2412yes—
383C27C2411yescharacteristic
384C27C2411yescharacteristic
385C27C2412yes—
386C27C24156yes—
387C27C24128yes—
388C27C2412yes—
389C27C24128yes—
390C23×#41—2896no—
391C23×#41—4448no—
392C23×#41—4448no—
393C23×#41—41024no—
394C23×#41C241448yescomplemented
395C24×Q8—216no—
396C24×Q8—216no—
397C24×Q8—48no—
398C24×Q8C24128yes—
399C24×D4—232no—
400C24×D4—232no—
401C24×D4—232no—
402C24×D4—232no—
403C24×D4—232no—
404C24×D4—232no—
405C24×D4—232no—
406C24×D4—232no—
407C24×D4—21792no—
408C24×D4—216no—
409C24×D4—216no—
410C24×D4—232no—
411C24×D4—232no—
412C24×D4—232no—
413C24×D4—232no—
414C24×D4—232no—
415C24×D4—232no—
416C24×D4—232no—
417C24×D4—232no—
418C24×D4—21792no—
419C24×D4—21792no—
420C24×D4—21792no—
421C24×D4—232no—
422C24×D4—216no—
423C24×D4—232no—
424C24×D4—232no—
425C24×D4—216no—
426C24×D4—416no—
427C24×D4—416no—
428C24×D4—416no—
429C24×D4—416no—
430C24×D4—48no—
431C24×D4—48no—
432C24×D4—48no—
433C24×D4—48no—
434C24×D4—48no—
435C24×D4—416no—
436C24×D4—416no—
437C24×D4—416no—
438C24×D4—48no—
439C24×D4—416no—
440C24×D4—416no—
441C24×D4—48no—
442C24×D4—4896no—
443C24×D4—4896no—
444C24×D4—42048no—
445C24×D4—42048no—
446C24×D4C2×D4164yes—
447C24×D4C2×D4132yes—
448C24×D4#41164yescomplemented
449C24×D4C24156yes—
450C24×D4C24156yes—
451C24×D4C241896yes—
452C24×D4C241896yes—
453C24×D4C24156yes—
454C24×D4C24156yes—
455C24×D4C24156yes—
456C24×D4C24156yes—
457C24×D4C24128yes—
458C24×D4C24156yes—
459C24×D4C24156yes—
460C24×D4C24128yes—
461C24×D4C24128yes—
462C24×D4C24156yes—
463C24×D4C24156yes—
464C24×D4C24128yes—
465C25×C4—216no—
466C25×C4—216no—
467C25×C4—216no—
468C25×C4—232no—
469C25×C4—232no—
470C25×C4—216no—
471C25×C4—2896no—
472C25×C4—232no—
473C25×C4—216no—
474C25×C4—232no—
475C25×C4—232no—
476C25×C4—232no—
477C25×C4—216no—
478C25×C4—232no—
479C25×C4—232no—
480C25×C4—232no—
481C25×C4—232no—
482C25×C4—216no—
483C25×C4—216no—
484C25×C4—4448no—
485C25×C4—4448no—
486C25×C4—416no—
487C25×C4—416no—
488C25×C4—48no—
489C25×C4—48no—
490C25×C4—416no—
491C25×C4—416no—
492C25×C4—48no—
493C25×C4—48no—
494C25×C4—48no—
495C25×C4—416no—
496C25×C4—416no—
497C25×C4—416no—
498C25×C4—416no—
499C25×C4—416no—
500C25×C4—41024no—
501C25×C4C24128yes—
502C25×C4C2412yes—
503C25×C4C2412yes—
504C25×C4C2412yes—
505C25×C4C2411yescharacteristic
506C25×C4C2412yes—
507C25×C4C2412yes—
508C25×C4C2412yes—
509C25×C4C2412yes—
510C25×C4C24156yes—
511C25×C4C24156yes—
512C25×C4C24156yes—
513C25×C4C24156yes—
514C25×C4C24128yes—
515C25×C4C24128yes—
516C25×C4C2411yescharacteristic
517C25×C4C2412yes—
518C25×C4C2412yes—
519C25×C4C2411yescharacteristic
520C25×C4C2411yescharacteristic
521C25×C4C24128yes—
522C25×C4C24156yes—
523C25×C4C24156yes—
524C25×C4C24128yes—
525C25×C4C241448yescomplemented
526C2×D42—228672no—
527C2×D42C2414096yescomplemented
528C22×#127—2896no—
529C22×#127C241448yes—
530C22×#124—4448no—
531C22×#124C241448yescomplemented
532C2×#525—228672no—
533C2×#525C2414096yescomplemented
534C22×#123—2896no—
535C22×#123—2896no—
536C22×#123C241448yescomplemented
537C22×#123C241448yescomplemented
538C22×C22⋊Q8—21792no—
539C22×C22⋊Q8C241896yescomplemented
540C22×#121—21792no—
541C22×#121—21792no—
542C22×#121—21792no—
543C22×#121—21792no—
544C22×#121—4448no—
545C22×#121—4896no—
546C22×#121C241896yes—
547C22×#121C241896yes—
548C22×#121C241896yes—
549C22×#121C241896yescomplemented
550C22×#121C241896yescomplemented
551C22×#121C241448yescomplemented
552C22×#120—2896no—
553C22×#120—2896no—
554C22×#120—21792no—
555C22×#120—4448no—
556C22×#120—4896no—
557C22×#120C2×D411792yescomplemented
558C22×#120C241896yes—
559C22×#120C241448yes—
560C22×#120C241448yes—
561C22×#120C241448yescomplemented
562C22×#120C241896yescomplemented
563C22×#120C241448yescomplemented
564C22×C4×D4—21792no—
565C22×C4×D4—21792no—
566C22×C4×D4—21792no—
567C22×C4×D4—4896no—
568C22×C4×D4C241896yes—
569C22×C4×D4C241896yescomplemented
570C22×C4×D4C241896yescomplemented
571C22×C4×D4C241896yescomplemented
572C22×#117—2896no—
573C22×#117C241448yescomplemented
574C23×C4⋊C4—232no—
575C23×C4⋊C4—232no—
576C23×C4⋊C4—232no—
577C23×C4⋊C4—232no—
578C23×C4⋊C4—232no—
579C23×C4⋊C4—416no—
580C23×C4⋊C4—48no—
581C23×C4⋊C4—416no—
582C23×C4⋊C4C24156yes—
583C23×C4⋊C4C24156yes—
584C23×C4⋊C4C24156yes—
585C23×C4⋊C4C24156yes—
586C23×C4⋊C4C24156yes—
587C23×C4⋊C4C24156yes—
588C23×C4⋊C4C24128yes—
589C23×C4⋊C4C24156yes—
590C23×C22⋊C4—216no—
591C23×C22⋊C4—232no—
592C23×C22⋊C4—232no—
593C23×C22⋊C4—216no—
594C23×C22⋊C4—232no—
595C23×C22⋊C4—232no—
596C23×C22⋊C4—232no—
597C23×C22⋊C4—232no—
598C23×C22⋊C4—232no—
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—4448no—
606C23×C22⋊C4—4896no—
607C23×C22⋊C4—4896no—
608C23×C22⋊C4—4896no—
609C23×C22⋊C4—416no—
610C23×C22⋊C4—416no—
611C23×C22⋊C4—416no—
612C23×C22⋊C4—416no—
613C23×C22⋊C4—416no—
614C23×C22⋊C4—416no—
615C23×C22⋊C4—416no—
616C23×C22⋊C4—416no—
617C23×C22⋊C4—48no—
618C23×C22⋊C4—416no—
619C23×C22⋊C4—416no—
620C23×C22⋊C4—416no—
621C23×C22⋊C4—416no—
622C23×C22⋊C4—416no—
623C23×C22⋊C4C2×D4132yes—
624C23×C22⋊C4C2×D4164yes—
625C23×C22⋊C4C24156yes—
626C23×C22⋊C4C24156yes—
627C23×C22⋊C4C24156yes—
628C23×C22⋊C4C24156yes—
629C23×C22⋊C4C24156yes—
630C23×C22⋊C4C24156yes—
631C23×C22⋊C4C24128yes—
632C23×C22⋊C4C24156yes—
633C23×C22⋊C4C24156yes—
634C23×C22⋊C4C24156yes—
635C23×C22⋊C4C24156yes—
636C23×C22⋊C4C24128yes—
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⋊C4C24156yes—
649C23×C22⋊C4C24128yes—
650C23×C22⋊C4C24156yes—
651C23×C22⋊C4C24156yes—
652C23×C22⋊C4C24156yes—
653C23×C22⋊C4C24156yes—
654C23×C22⋊C4C24128yes—
655C23×C22⋊C4C24156yes—
656C23×C22⋊C4C241448yescomplemented
657C23×C22⋊C4C241896yescomplemented
658C23×C22⋊C4C241896yescomplemented
659C23×C22⋊C4C241896yescomplemented
660C23×C42—232no—
661C23×C42—216no—
662C23×C42—416no—
663C23×C42—48no—
664C23×C42C24156yes—
665C23×C42C24128yes—
666C23×C42C24156yes—
667C23×C42C24128yes—
668#2709C2414096yescomplemented
669#2703C2418192yescomplemented
670#2697C2414096yescomplemented
671#2543C2418192yescomplemented
672#2476C2418192yescomplemented
673#2472C2418192yescomplemented
674#2450C2418192yescomplemented
675#2444C2418192yescomplemented
676#2431C2414096yescomplemented
677#2424C2418192yescomplemented
678#2410C2418192yescomplemented
679#2410C2418192yescomplemented
680#2404C2414096yescomplemented
681C2×#400C241896yescomplemented
682C2×#398C241896yescomplemented
683C2×#397C241896yescomplemented
684C2×#397C241896yescomplemented
685C2×#396C241896yescomplemented
686C2×#394C241896yescomplemented
687C2×#394C241896yescomplemented
688C2×#394C241896yescomplemented
689C2×#394C241896yescomplemented
690C2×#394C241896yescomplemented
691C2×#394C241896yescomplemented
692C2×#393C241896yescomplemented
693C2×#392C241896yescomplemented
694C2×#392C241896yescomplemented
695C2×#392C241896yescomplemented
696C2×#392C241896yescomplemented
697#2364C2418192yescomplemented
698#2358C2414096yescomplemented
699D4×C22⋊C4C2418192yescomplemented
700C2×#391C241448yescomplemented
701C2×#390C241896yescomplemented
702C2×#390C241896yescomplemented
703C2×#390C241448yescomplemented
704C2×#388C241896yescomplemented
705C2×#388C241896yescomplemented
706C2×#388C241896yescomplemented
707C2×#388C241896yescomplemented
708C2×#388C241896yescomplemented
709C2×#387C241896yescomplemented
710C2×#387C241896yescomplemented
711C2×#386C241896yes—
712C2×#386C241896yes—
713C2×#386C241896yes—
714C2×#386C241448yescomplemented
715C2×#386C241896yescomplemented
716C2×#386C241896yescomplemented
717C2×#386C241896yescomplemented
718C2×#386C241896yescomplemented
719C2×#386C241896yescomplemented
720C2×#386C241448yescomplemented
721C2×#386C241896yescomplemented
722C2×#386C241896yescomplemented
723C2×#386C241896yescomplemented
724C2×#386C241896yescomplemented
725C2×#386C241896yescomplemented
726C2×#386C241896yescomplemented
727C2×#386C241896yescomplemented
728C2×#386C241896yescomplemented
729C2×#386C2418192yescomplemented
730C2×#385C241896yescomplemented
731C2×#385C241896yescomplemented
732C2×#385C241896yescomplemented
733C2×#381C241448yescomplemented
734C2×#380C241896yescomplemented
735C2×#379C241896yescomplemented
736C2×#379C241896yescomplemented
737C2×C4×C22⋊C4C241896yescomplemented
738C2×C4×C22⋊C4C241896yescomplemented
739C2×C4×C22⋊C4C241448yescomplemented
740C22×#95C24156yes—
741C22×#95C24156yes—
742C22×#95C24156yes—
743C22×#95C24156yes—
744C22×#95C24156yes—
745C22×#95C24156yes—
746C22×#95C24156yes—
747C22×#95C24156yes—
748C22×#95C24156yes—
749C22×#95C24156yes—
750C22×#95C24156yes—
751C22×#95C24156yes—
752C22×#95C24156yes—
753C22×#95C24156yes—
754C22×#95C24156yes—
755C22×#95C241896yescomplemented
756C22×#95C241896yescomplemented
757C26—216no—
758C26—216no—
759C26—216no—
760C26—216no—
761C26—21024no—
762C26—216no—
763C26—216no—
764C26—2448no—
765C26—216no—
766C26—216no—
767C26—28no—
768C26—28no—
769C26—28no—
770C26—216no—
771C26—28no—
772C26—216no—
773C26—216no—
774C26—2448no—
775C26—216no—
776C26—216no—
777C26—216no—
778C26—28no—
779C26—216no—
780C26—2448no—
781C26—216no—
782C26—216no—
783C26—216no—
784C26—28no—
785C26—28no—
786C26—216no—
787C26—216no—
788C26—216no—
789C26—216no—
790C26—216no—
791C26—2224no—
792C26—2448no—
793C26—2448no—
794C26—2448no—
795C26—2448no—
796C26—4256no—
797C26—4112no—
798C26—4112no—
799C26—4224no—
800C26—4224no—
801C26—4224no—
802C26—4224no—
803C26—4112no—
804C26—4112no—
805C26—4256no—
806C26—4512no—
807C26—4256no—
808C26—4512no—
809C26—4512no—
810C26—4512no—
811C26—4512no—
812C26—4256no—
813C26—4512no—
814C26—8256no—
815C26—8256no—
816C26—8256no—
817C26—8128no—
818C26—8256no—
819C26—8128no—
820C26C22×D4116yes—
821C26C22×D4116yes—
822C26C22×D41448yes—
823C26C22×D4132yes—
824C26C2×#41132yes—
825C26C2×#41132yes—
826C26H(5,𝔽2)132yes—
827C26C25114yes—
828C26C25128yes—
829C26C25114yes—
830C26C25114yes—
831C26C25128yes—
832C26C251224yes—
833C26C251112yes—
834C26C25128yes—
835C26C251112yes—
836C26C2511yescharacteristic
837C22×#41—23584no—
838C22×#41—41792no—
839C22×#41—41792no—
840C22×#41—414336no—
841C22×#41C251512yescomplemented
842C23×Q8—2224no—
843C23×Q8—2224no—
844C23×Q8—4112no—
845C23×Q8—4256no—
846C23×Q8C251112yes—
847C23×D4—21024no—
848C23×D4—21024no—
849C23×D4—2448no—
850C23×D4—2448no—
851C23×D4—2448no—
852C23×D4—2448no—
853C23×D4—2448no—
854C23×D4—2448no—
855C23×D4—2448no—
856C23×D4—2448no—
857C23×D4—27168no—
858C23×D4—2224no—
859C23×D4—2224no—
860C23×D4—2448no—
861C23×D4—2448no—
862C23×D4—2448no—
863C23×D4—2448no—
864C23×D4—2448no—
865C23×D4—2448no—
866C23×D4—2448no—
867C23×D4—2448no—
868C23×D4—27168no—
869C23×D4—27168no—
870C23×D4—27168no—
871C23×D4—2448no—
872C23×D4—2224no—
873C23×D4—2448no—
874C23×D4—2448no—
875C23×D4—2224no—
876C23×D4—4224no—
877C23×D4—4224no—
878C23×D4—4224no—
879C23×D4—4224no—
880C23×D4—4256no—
881C23×D4—4112no—
882C23×D4—4112no—
883C23×D4—4112no—
884C23×D4—4112no—
885C23×D4—4112no—
886C23×D4—4512no—
887C23×D4—4512no—
888C23×D4—4512no—
889C23×D4—4256no—
890C23×D4—4224no—
891C23×D4—4224no—
892C23×D4—4224no—
893C23×D4—4112no—
894C23×D4—4224no—
895C23×D4—4224no—
896C23×D4—4112no—
897C23×D4—43584no—
898C23×D4—43584no—
899C23×D4—428672no—
900C23×D4—428672no—
901C23×D4—4512no—
902C23×D4—4256no—
903C23×D4—4512no—
904C23×D4—4512no—
905C23×D4—8128no—
906C23×D4—8256no—
907C23×D4—8256no—
908C23×D4C22×D41896yes—
909C23×D4C22×D41448yes—
910C23×D4C2×#411896yescomplemented
911C23×D4C251224yes—
912C23×D4C251224yes—
913C23×D4C2511024yes—
914C23×D4C251224yes—
915C23×D4C251224yes—
916C23×D4C251224yes—
917C23×D4C251224yes—
918C23×D4C2511024yes—
919C23×D4C251112yes—
920C23×D4C251224yes—
921C23×D4C251224yes—
922C23×D4C251112yes—
923C23×D4C251224yes—
924C23×D4C251112yes—
925C23×D4C251224yes—
926C23×D4C251112yes—
927C24×C4—2512no—
928C24×C4—28no—
929C24×C4—28no—
930C24×C4—2224no—
931C24×C4—216no—
932C24×C4—216no—
933C24×C4—28no—
934C24×C4—28no—
935C24×C4—28no—
936C24×C4—216no—
937C24×C4—216no—
938C24×C4—28no—
939C24×C4—2224no—
940C24×C4—2224no—
941C24×C4—216no—
942C24×C4—2448no—
943C24×C4—2448no—
944C24×C4—2224no—
945C24×C4—23584no—
946C24×C4—216no—
947C24×C4—2448no—
948C24×C4—28no—
949C24×C4—2224no—
950C24×C4—216no—
951C24×C4—216no—
952C24×C4—216no—
953C24×C4—216no—
954C24×C4—216no—
955C24×C4—216no—
956C24×C4—216no—
957C24×C4—216no—
958C24×C4—28no—
959C24×C4—216no—
960C24×C4—216no—
961C24×C4—216no—
962C24×C4—216no—
963C24×C4—28no—
964C24×C4—216no—
965C24×C4—216no—
966C24×C4—216no—
967C24×C4—216no—
968C24×C4—216no—
969C24×C4—216no—
970C24×C4—216no—
971C24×C4—2448no—
972C24×C4—2448no—
973C24×C4—2448no—
974C24×C4—2224no—
975C24×C4—2448no—
976C24×C4—2448no—
977C24×C4—2448no—
978C24×C4—2448no—
979C24×C4—2224no—
980C24×C4—2224no—
981C24×C4—41792no—
982C24×C4—41792no—
983C24×C4—4224no—
984C24×C4—4224no—
985C24×C4—4112no—
986C24×C4—4112no—
987C24×C4—4224no—
988C24×C4—4224no—
989C24×C4—4112no—
990C24×C4—4112no—
991C24×C4—4512no—
992C24×C4—4256no—
993C24×C4—4112no—
994C24×C4—4224no—
995C24×C4—4224no—
996C24×C4—4224no—
997C24×C4—4224no—
998C24×C4—4224no—
999C24×C4—4512no—
1000C24×C4—4512no—
1001C24×C4—4512no—
1002C24×C4—4256no—
1003C24×C4—414336no—
1004C24×C4—4256no—
1005C24×C4—8256no—
1006C24×C4—8256no—
1007C24×C4—8128no—
1008C24×C4C22×D4116yes—
1009C24×C4C22×D4132yes—
1010C24×C4C2×#41132yes—
1011C24×C4H(5,𝔽2)116yes—
1012C24×C4H(5,𝔽2)116yes—
1013C24×C4C25128yes—
1014C24×C4C25128yes—
1015C24×C4C251112yes—
1016C24×C4C25128yes—
1017C24×C4C25114yes—
1018C24×C4C25128yes—
1019C24×C4C25128yes—
1020C24×C4C25128yes—
1021C24×C4C25128yes—
1022C24×C4C251224yes—
1023C24×C4C251224yes—
1024C24×C4C251224yes—
1025C24×C4C251224yes—
1026C24×C4C251112yes—
1027C24×C4C251112yes—
1028C24×C4C25114yes—
1029C24×C4C25128yes—
1030C24×C4C25128yes—
1031C24×C4C25114yes—
1032C24×C4C25114yes—
1033C24×C4C251112yes—
1034C24×C4C251224yes—
1035C24×C4C251224yes—
1036C24×C4C251112yes—
1037C24×C4C251512yescomplemented
1038D42—232768no—
1039C2×#127—23584no—
1040C2×#127C251512yes—
1041C2×#124—41792no—
1042C2×#124C251512yescomplemented
1043#525—232768no—
1044C2×#123—23584no—
1045C2×#123—23584no—
1046C2×#123C251512yescomplemented
1047C2×#123C251512yescomplemented
1048C2×C22⋊Q8—27168no—
1049C2×C22⋊Q8C2511024yescomplemented
1050C2×#121—27168no—
1051C2×#121—27168no—
1052C2×#121—27168no—
1053C2×#121—27168no—
1054C2×#121—41792no—
1055C2×#121—43584no—
1056C2×#121C2511024yes—
1057C2×#121C2511024yes—
1058C2×#121C2511024yes—
1059C2×#121C2511024yescomplemented
1060C2×#121C2511024yescomplemented
1061C2×#121C251512yescomplemented
1062C2×#120—23584no—
1063C2×#120—23584no—
1064C2×#120—27168no—
1065C2×#120—41792no—
1066C2×#120—43584no—
1067C2×#120C22×D417168yescomplemented
1068C2×#120C251512yes—
1069C2×#120C2511024yes—
1070C2×#120C251512yes—
1071C2×#120C251512yescomplemented
1072C2×#120C251512yescomplemented
1073C2×#120C2511024yescomplemented
1074C2×C4×D4—27168no—
1075C2×C4×D4—27168no—
1076C2×C4×D4—27168no—
1077C2×C4×D4—43584no—
1078C2×C4×D4C2511024yes—
1079C2×C4×D4C2511024yescomplemented
1080C2×C4×D4C2511024yescomplemented
1081C2×C4×D4C2511024yescomplemented
1082C2×#117—23584no—
1083C2×#117C251512yescomplemented
1084C22×C4⋊C4—2448no—
1085C22×C4⋊C4—2448no—
1086C22×C4⋊C4—2448no—
1087C22×C4⋊C4—2448no—
1088C22×C4⋊C4—2448no—
1089C22×C4⋊C4—4224no—
1090C22×C4⋊C4—4112no—
1091C22×C4⋊C4—4224no—
1092C22×C4⋊C4C251224yes—
1093C22×C4⋊C4C251224yes—
1094C22×C4⋊C4C251224yes—
1095C22×C4⋊C4C251224yes—
1096C22×C4⋊C4C251224yes—
1097C22×C4⋊C4C251224yes—
1098C22×C4⋊C4C251224yes—
1099C22×C4⋊C4C251112yes—
1100C22×C22⋊C4—2224no—
1101C22×C22⋊C4—2448no—
1102C22×C22⋊C4—2448no—
1103C22×C22⋊C4—2224no—
1104C22×C22⋊C4—2448no—
1105C22×C22⋊C4—2448no—
1106C22×C22⋊C4—2448no—
1107C22×C22⋊C4—2448no—
1108C22×C22⋊C4—2448no—
1109C22×C22⋊C4—2448no—
1110C22×C22⋊C4—2448no—
1111C22×C22⋊C4—2448no—
1112C22×C22⋊C4—2448no—
1113C22×C22⋊C4—2448no—
1114C22×C22⋊C4—2448no—
1115C22×C22⋊C4—41792no—
1116C22×C22⋊C4—43584no—
1117C22×C22⋊C4—43584no—
1118C22×C22⋊C4—43584no—
1119C22×C22⋊C4—4224no—
1120C22×C22⋊C4—4224no—
1121C22×C22⋊C4—4224no—
1122C22×C22⋊C4—4224no—
1123C22×C22⋊C4—4224no—
1124C22×C22⋊C4—4224no—
1125C22×C22⋊C4—4224no—
1126C22×C22⋊C4—4224no—
1127C22×C22⋊C4—4112no—
1128C22×C22⋊C4—4224no—
1129C22×C22⋊C4—4224no—
1130C22×C22⋊C4—4224no—
1131C22×C22⋊C4—4224no—
1132C22×C22⋊C4—4224no—
1133C22×C22⋊C4C22×D41448yes—
1134C22×C22⋊C4C22×D41896yes—
1135C22×C22⋊C4C251224yes—
1136C22×C22⋊C4C251224yes—
1137C22×C22⋊C4C251224yes—
1138C22×C22⋊C4C251224yes—
1139C22×C22⋊C4C251224yes—
1140C22×C22⋊C4C251112yes—
1141C22×C22⋊C4C251224yes—
1142C22×C22⋊C4C251224yes—
1143C22×C22⋊C4C251224yes—
1144C22×C22⋊C4C251112yes—
1145C22×C22⋊C4C251224yes—
1146C22×C22⋊C4C251224yes—
1147C22×C22⋊C4C251224yes—
1148C22×C22⋊C4C251224yes—
1149C22×C22⋊C4C251224yes—
1150C22×C22⋊C4C251224yes—
1151C22×C22⋊C4C251224yes—
1152C22×C22⋊C4C251224yes—
1153C22×C22⋊C4C251224yes—
1154C22×C22⋊C4C251224yes—
1155C22×C22⋊C4C251224yes—
1156C22×C22⋊C4C251224yes—
1157C22×C22⋊C4C251224yes—
1158C22×C22⋊C4C251224yes—
1159C22×C22⋊C4C251224yes—
1160C22×C22⋊C4C251112yes—
1161C22×C22⋊C4C251224yes—
1162C22×C22⋊C4C251224yes—
1163C22×C22⋊C4C251224yes—
1164C22×C22⋊C4C251112yes—
1165C22×C22⋊C4C251224yes—
1166C22×C22⋊C4C251512yescomplemented
1167C22×C22⋊C4C2511024yescomplemented
1168C22×C22⋊C4C2511024yescomplemented
1169C22×C22⋊C4C2511024yescomplemented
1170C22×C42—2448no—
1171C22×C42—2224no—
1172C22×C42—4224no—
1173C22×C42—4112no—
1174C22×C42C251224yes—
1175C22×C42C251112yes—
1176C22×C42C251224yes—
1177C22×C42C251112yes—
1178#400C2511024yescomplemented
1179#398C2511024yescomplemented
1180#397C2511024yescomplemented
1181#397C2511024yescomplemented
1182#396C2511024yescomplemented
1183#394C2511024yescomplemented
1184#394C2511024yescomplemented
1185#394C2511024yescomplemented
1186#394C2511024yescomplemented
1187#394C2511024yescomplemented
1188#394C2511024yescomplemented
1189#393C2511024yescomplemented
1190#392C2511024yescomplemented
1191#392C2511024yescomplemented
1192#392C2511024yescomplemented
1193#392C2511024yescomplemented
1194#391C251512yescomplemented
1195#390C2511024yescomplemented
1196#390C2511024yescomplemented
1197#390C251512yescomplemented
1198#388C2511024yescomplemented
1199#388C2511024yescomplemented
1200#388C2511024yescomplemented
1201#388C2511024yescomplemented
1202#388C2511024yescomplemented
1203#387C2511024yescomplemented
1204#387C2511024yescomplemented
1205#386C2511024yes—
1206#386C2511024yes—
1207#386C2511024yes—
1208#386C2511024yescomplemented
1209#386C2511024yescomplemented
1210#386C251512yescomplemented
1211#386C2511024yescomplemented
1212#386C2511024yescomplemented
1213#386C2511024yescomplemented
1214#386C2511024yescomplemented
1215#386C2511024yescomplemented
1216#386C251512yescomplemented
1217#386C2511024yescomplemented
1218#386C2511024yescomplemented
1219#386C2511024yescomplemented
1220#386C2511024yescomplemented
1221#386C2511024yescomplemented
1222#386C2511024yescomplemented
1223#385C2511024yescomplemented
1224#385C2511024yescomplemented
1225#385C2511024yescomplemented
1226#381C251512yescomplemented
1227#380C2511024yescomplemented
1228#379C2511024yescomplemented
1229#379C2511024yescomplemented
1230C4×C22⋊C4C2511024yescomplemented
1231C4×C22⋊C4C2511024yescomplemented
1232C4×C22⋊C4C251512yescomplemented
1233C2×#95C251224yes—
1234C2×#95C251224yes—
1235C2×#95C251224yes—
1236C2×#95C251224yes—
1237C2×#95C251224yes—
1238C2×#95C251224yes—
1239C2×#95C251224yes—
1240C2×#95C251224yes—
1241C2×#95C251224yes—
1242C2×#95C251224yes—
1243C2×#95C251224yes—
1244C2×#95C251224yes—
1245C2×#95C251224yes—
1246C2×#95C251224yes—
1247C2×#95C251224yes—
1248C2×#95C2511024yescomplemented
1249C2×#95C2511024yescomplemented
1250C25—2112no—
1251C25—2112no—
1252C25—2112no—
1253C25—2112no—
1254C25—2256no—
1255C25—2256no—
1256C25—2256no—
1257C25—2256no—
1258C25—2256no—
1259C25—2256no—
1260C25—2112no—
1261C25—2112no—
1262C25—2896no—
1263C25—2112no—
1264C25—2112no—
1265C25—2112no—
1266C25—2112no—
1267C25—2896no—
1268C25—2112no—
1269C25—256no—
1270C25—2112no—
1271C25—2112no—
1272C25—256no—
1273C25—256no—
1274C25—256no—
1275C25—2112no—
1276C25—2256no—
1277C25—2256no—
1278C25—27168no—
1279C25—2256no—
1280C25—2256no—
1281C25—2128no—
1282C25—2128no—
1283C25—2256no—
1284C25—256no—
1285C25—2112no—
1286C25—2112no—
1287C25—2896no—
1288C25—2112no—
1289C25—2112no—
1290C25—2112no—
1291C25—2112no—
1292C25—2112no—
1293C25—2112no—
1294C25—2112no—
1295C25—256no—
1296C25—256no—
1297C25—2448no—
1298C25—2896no—
1299C25—2896no—
1300C25—2896no—
1301C25—2896no—
1302C25—41792no—
1303C25—4224no—
1304C25—4224no—
1305C25—4448no—
1306C25—4448no—
1307C25—4224no—
1308C25—4448no—
1309C25—4448no—
1310C25—4224no—
1311C25—41792no—
1312C25—43584no—
1313C25—48192no—
1314C25—41792no—
1315C25—43584no—
1316C25—43584no—
1317C25—43584no—
1318C25—43584no—
1319C25—41792no—
1320C25—4128no—
1321C25—464no—
1322C25—464no—
1323C25—4128no—
1324C25—4128no—
1325C25—4128no—
1326C25—4128no—
1327C25—464no—
1328C25—464no—
1329C25—4128no—
1330C25—43584no—
1331C25—4128no—
1332C25—4128no—
1333C25—4128no—
1334C25—464no—
1335C25—4128no—
1336C25—464no—
1337C25—4128no—
1338C25—4128no—
1339C25—4128no—
1340C25—4128no—
1341C25—464no—
1342C25—4128no—
1343C25—81792no—
1344C25—81792no—
1345C25—81792no—
1346C25—8896no—
1347C25—81792no—
1348C25—88192no—
1349C25—8896no—
1350C25—84096no—
1351C25#5461512yes—
1352C25C23×D41112yes—
1353C25C23×D41112yes—
1354C25C23×D41896yes—
1355C25C23×D41224yes—
1356C25C23×D418yes—
1357C25C22×#411224yes—
1358C25C22×#411224yes—
1359C25C22×#41116yes—
1360C25C2×H(5,𝔽2)1224yes—
1361C25C2×H(5,𝔽2)116yes—
1362C25C2×H(5,𝔽2)18yes—
1363C25C2×H(5,𝔽2)18yes—
1364C25C26156yes—
1365C25C26128yes—
1366C25C26128yes—
1367C25C26128yes—
1368C25C26156yes—
1369C25C261128yes—
1370C25C26164yes—
1371C25C26156yes—
1372C25C26164yes—
1373C25C2617yes—
1374C2×#41—22048no—
1375C2×#41—41024no—
1376C2×#41—41024no—
1377C2×#41—428672no—
1378C22×Q8—2448no—
1379C22×Q8—2448no—
1380C22×Q8—4224no—
1381C22×Q8—41792no—
1382C22×Q8C26164yes—
1383C22×D4—2896no—
1384C22×D4—2896no—
1385C22×D4—2896no—
1386C22×D4—2896no—
1387C22×D4—27168no—
1388C22×D4—27168no—
1389C22×D4—2896no—
1390C22×D4—2896no—
1391C22×D4—2896no—
1392C22×D4—2448no—
1393C22×D4—2448no—
1394C22×D4—2896no—
1395C22×D4—2896no—
1396C22×D4—24096no—
1397C22×D4—2896no—
1398C22×D4—2896no—
1399C22×D4—2896no—
1400C22×D4—2896no—
1401C22×D4—2896no—
1402C22×D4—2896no—
1403C22×D4—2896no—
1404C22×D4—24096no—
1405C22×D4—24096no—
1406C22×D4—24096no—
1407C22×D4—2896no—
1408C22×D4—2448no—
1409C22×D4—2896no—
1410C22×D4—2896no—
1411C22×D4—2448no—
1412C22×D4—4448no—
1413C22×D4—4448no—
1414C22×D4—4448no—
1415C22×D4—4448no—
1416C22×D4—41792no—
1417C22×D4—4224no—
1418C22×D4—4224no—
1419C22×D4—4224no—
1420C22×D4—4224no—
1421C22×D4—4224no—
1422C22×D4—43584no—
1423C22×D4—43584no—
1424C22×D4—43584no—
1425C22×D4—41792no—
1426C22×D4—4448no—
1427C22×D4—4448no—
1428C22×D4—4448no—
1429C22×D4—4224no—
1430C22×D4—4448no—
1431C22×D4—4448no—
1432C22×D4—4224no—
1433C22×D4—42048no—
1434C22×D4—42048no—
1435C22×D4—457344no—
1436C22×D4—457344no—
1437C22×D4—43584no—
1438C22×D4—41792no—
1439C22×D4—43584no—
1440C22×D4—43584no—
1441C22×D4—8896no—
1442C22×D4—81792no—
1443C22×D4—81792no—
1444C22×D4C23×D411792yes—
1445C22×D4C23×D41896yes—
1446C22×D4C22×#4111792yescomplemented
1447C22×D4C261128yes—
1448C22×D4C261128yes—
1449C22×D4C261128yes—
1450C22×D4C261128yes—
1451C22×D4C26164yes—
1452C22×D4C261128yes—
1453C22×D4C261128yes—
1454C22×D4C261128yes—
1455C22×D4C261128yes—
1456C22×D4C26164yes—
1457C22×D4C261128yes—
1458C22×D4C26164yes—
1459C22×D4C261128yes—
1460C22×D4C26164yes—
1461C23×C4—23584no—
1462C23×C4—256no—
1463C23×C4—2112no—
1464C23×C4—2448no—
1465C23×C4—256no—
1466C23×C4—2112no—
1467C23×C4—256no—
1468C23×C4—2112no—
1469C23×C4—256no—
1470C23×C4—256no—
1471C23×C4—2112no—
1472C23×C4—256no—
1473C23×C4—2256no—
1474C23×C4—2256no—
1475C23×C4—2128no—
1476C23×C4—2128no—
1477C23×C4—2128no—
1478C23×C4—2448no—
1479C23×C4—2448no—
1480C23×C4—2112no—
1481C23×C4—2112no—
1482C23×C4—2112no—
1483C23×C4—256no—
1484C23×C4—2896no—
1485C23×C4—2448no—
1486C23×C4—2896no—
1487C23×C4—2896no—
1488C23×C4—2448no—
1489C23×C4—22048no—
1490C23×C4—2112no—
1491C23×C4—2112no—
1492C23×C4—2112no—
1493C23×C4—2112no—
1494C23×C4—2112no—
1495C23×C4—2112no—
1496C23×C4—2112no—
1497C23×C4—2112no—
1498C23×C4—2112no—
1499C23×C4—2112no—
1500C23×C4—2112no—
1501C23×C4—2112no—
1502C23×C4—2112no—
1503C23×C4—2112no—
1504C23×C4—2112no—
1505C23×C4—2112no—
1506C23×C4—256no—
1507C23×C4—256no—
1508C23×C4—2112no—
1509C23×C4—2112no—
1510C23×C4—2896no—
1511C23×C4—2896no—
1512C23×C4—2448no—
1513C23×C4—2896no—
1514C23×C4—2896no—
1515C23×C4—2896no—
1516C23×C4—2896no—
1517C23×C4—2896no—
1518C23×C4—2448no—
1519C23×C4—2448no—
1520C23×C4—41024no—
1521C23×C4—41024no—
1522C23×C4—4448no—
1523C23×C4—4448no—
1524C23×C4—4224no—
1525C23×C4—4224no—
1526C23×C4—4448no—
1527C23×C4—4448no—
1528C23×C4—4224no—
1529C23×C4—4224no—
1530C23×C4—43584no—
1531C23×C4—41792no—
1532C23×C4—4448no—
1533C23×C4—4448no—
1534C23×C4—4224no—
1535C23×C4—4448no—
1536C23×C4—4448no—
1537C23×C4—4448no—
1538C23×C4—43584no—
1539C23×C4—43584no—
1540C23×C4—43584no—
1541C23×C4—41792no—
1542C23×C4—428672no—
1543C23×C4—41792no—
1544C23×C4—4128no—
1545C23×C4—4128no—
1546C23×C4—4128no—
1547C23×C4—464no—
1548C23×C4—4128no—
1549C23×C4—4128no—
1550C23×C4—4128no—
1551C23×C4—4128no—
1552C23×C4—81792no—
1553C23×C4—81792no—
1554C23×C4—8896no—
1555C23×C4C23×D41224yes—
1556C23×C4C23×D41112yes—
1557C23×C4C22×#411224yes—
1558C23×C4C2×H(5,𝔽2)1112yes—
1559C23×C4C2×H(5,𝔽2)1112yes—
1560C23×C4C26156yes—
1561C23×C4C26156yes—
1562C23×C4C26156yes—
1563C23×C4C26156yes—
1564C23×C4C26156yes—
1565C23×C4C26128yes—
1566C23×C4C26156yes—
1567C23×C4C26156yes—
1568C23×C4C26164yes—
1569C23×C4C261128yes—
1570C23×C4C26164yes—
1571C23×C4C261128yes—
1572C23×C4C261128yes—
1573C23×C4C261128yes—
1574C23×C4C26164yes—
1575C23×C4C26156yes—
1576C23×C4C26128yes—
1577C23×C4C26156yes—
1578C23×C4C26128yes—
1579C23×C4C26128yes—
1580C23×C4C261128yes—
1581C23×C4C261128yes—
1582C23×C4C26164yes—
1583C23×C4C26164yes—
1584#127—22048no—
1585#124—41024no—
1586#123—22048no—
1587#123—22048no—
1588C22⋊Q8—24096no—
1589#121—24096no—
1590#121—24096no—
1591#121—24096no—
1592#121—24096no—
1593#121—41024no—
1594#121—42048no—
1595#120—22048no—
1596#120—22048no—
1597#120—24096no—
1598#120—41024no—
1599#120—42048no—
1600#120C23×D414096yescomplemented
1601C4×D4—24096no—
1602C4×D4—24096no—
1603C4×D4—24096no—
1604C4×D4—42048no—
1605#117—22048no—
1606C2×C4⋊C4—2896no—
1607C2×C4⋊C4—2896no—
1608C2×C4⋊C4—2896no—
1609C2×C4⋊C4—2896no—
1610C2×C4⋊C4—2896no—
1611C2×C4⋊C4—4448no—
1612C2×C4⋊C4—4224no—
1613C2×C4⋊C4—4448no—
1614C2×C4⋊C4C261128yes—
1615C2×C4⋊C4C261128yes—
1616C2×C4⋊C4C261128yes—
1617C2×C4⋊C4C261128yes—
1618C2×C4⋊C4C261128yes—
1619C2×C4⋊C4C261128yes—
1620C2×C4⋊C4C26164yes—
1621C2×C4⋊C4C261128yes—
1622C2×C22⋊C4—2448no—
1623C2×C22⋊C4—2896no—
1624C2×C22⋊C4—2896no—
1625C2×C22⋊C4—2448no—
1626C2×C22⋊C4—2896no—
1627C2×C22⋊C4—2896no—
1628C2×C22⋊C4—2896no—
1629C2×C22⋊C4—2896no—
1630C2×C22⋊C4—2896no—
1631C2×C22⋊C4—2896no—
1632C2×C22⋊C4—2896no—
1633C2×C22⋊C4—2896no—
1634C2×C22⋊C4—2896no—
1635C2×C22⋊C4—2896no—
1636C2×C22⋊C4—2896no—
1637C2×C22⋊C4—41024no—
1638C2×C22⋊C4—42048no—
1639C2×C22⋊C4—42048no—
1640C2×C22⋊C4—42048no—
1641C2×C22⋊C4—4448no—
1642C2×C22⋊C4—4448no—
1643C2×C22⋊C4—4448no—
1644C2×C22⋊C4—4448no—
1645C2×C22⋊C4—4448no—
1646C2×C22⋊C4—4448no—
1647C2×C22⋊C4—4448no—
1648C2×C22⋊C4—4448no—
1649C2×C22⋊C4—4224no—
1650C2×C22⋊C4—4448no—
1651C2×C22⋊C4—4448no—
1652C2×C22⋊C4—4448no—
1653C2×C22⋊C4—4448no—
1654C2×C22⋊C4—4448no—
1655C2×C22⋊C4C23×D41896yes—
1656C2×C22⋊C4C23×D411792yes—
1657C2×C22⋊C4C261128yes—
1658C2×C22⋊C4C261128yes—
1659C2×C22⋊C4C261128yes—
1660C2×C22⋊C4C261128yes—
1661C2×C22⋊C4C261128yes—
1662C2×C22⋊C4C261128yes—
1663C2×C22⋊C4C26164yes—
1664C2×C22⋊C4C261128yes—
1665C2×C22⋊C4C261128yes—
1666C2×C22⋊C4C261128yes—
1667C2×C22⋊C4C261128yes—
1668C2×C22⋊C4C26164yes—
1669C2×C22⋊C4C261128yes—
1670C2×C22⋊C4C261128yes—
1671C2×C22⋊C4C261128yes—
1672C2×C22⋊C4C261128yes—
1673C2×C22⋊C4C261128yes—
1674C2×C22⋊C4C261128yes—
1675C2×C22⋊C4C261128yes—
1676C2×C22⋊C4C261128yes—
1677C2×C22⋊C4C261128yes—
1678C2×C22⋊C4C261128yes—
1679C2×C22⋊C4C261128yes—
1680C2×C22⋊C4C261128yes—
1681C2×C22⋊C4C26164yes—
1682C2×C22⋊C4C261128yes—
1683C2×C22⋊C4C261128yes—
1684C2×C22⋊C4C261128yes—
1685C2×C22⋊C4C261128yes—
1686C2×C22⋊C4C26164yes—
1687C2×C22⋊C4C261128yes—
1688C2×C42—2896no—
1689C2×C42—2448no—
1690C2×C42—4448no—
1691C2×C42—4224no—
1692C2×C42C261128yes—
1693C2×C42C26164yes—
1694C2×C42C261128yes—
1695C2×C42C26164yes—
1696#95C261128yes—
1697#95C261128yes—
1698#95C261128yes—
1699#95C261128yes—
1700#95C261128yes—
1701#95C261128yes—
1702#95C261128yes—
1703#95C261128yes—
1704#95C261128yes—
1705#95C261128yes—
1706#95C261128yes—
1707#95C261128yes—
1708#95C261128yes—
1709#95C261128yes—
1710#95C261128yes—
1711C24—2896no—
1712C24—2896no—
1713C24—2896no—
1714C24—2896no—
1715C24—2112no—
1716C24—2112no—
1717C24—2112no—
1718C24—2112no—
1719C24—24096no—
1720C24—2896no—
1721C24—2896no—
1722C24—2448no—
1723C24—2448no—
1724C24—2896no—
1725C24—2112no—
1726C24—2112no—
1727C24—2256no—
1728C24—2112no—
1729C24—2112no—
1730C24—2112no—
1731C24—2112no—
1732C24—2256no—
1733C24—2112no—
1734C24—2112no—
1735C24—256no—
1736C24—2112no—
1737C24—256no—
1738C24—256no—
1739C24—256no—
1740C24—2112no—
1741C24—2896no—
1742C24—2896no—
1743C24—27168no—
1744C24—2896no—
1745C24—2896no—
1746C24—256no—
1747C24—2112no—
1748C24—2112no—
1749C24—2256no—
1750C24—2112no—
1751C24—2112no—
1752C24—2112no—
1753C24—2112no—
1754C24—2112no—
1755C24—2112no—
1756C24—2112no—
1757C24—256no—
1758C24—256no—
1759C24—2128no—
1760C24—2256no—
1761C24—2256no—
1762C24—2256no—
1763C24—2256no—
1764C24—41792no—
1765C24—464no—
1766C24—464no—
1767C24—4128no—
1768C24—4128no—
1769C24—464no—
1770C24—4128no—
1771C24—4128no—
1772C24—464no—
1773C24—41792no—
1774C24—428672no—
1775C24—41792no—
1776C24—43584no—
1777C24—43584no—
1778C24—43584no—
1779C24—43584no—
1780C24—43584no—
1781C24—41792no—
1782C24—4224no—
1783C24—4224no—
1784C24—4448no—
1785C24—4448no—
1786C24—4448no—
1787C24—4448no—
1788C24—4448no—
1789C24—41024no—
1790C24—41024no—
1791C24—42048no—
1792C24—4448no—
1793C24—4224no—
1794C24—4224no—
1795C24—4224no—
1796C24—4448no—
1797C24—4224no—
1798C24—4448no—
1799C24—4448no—
1800C24—4448no—
1801C24—4448no—
1802C24—43584no—
1803C24—4448no—
1804C24—4448no—
1805C24—4448no—
1806C24—4224no—
1807C24—4448no—
1808C24—81792no—
1809C24—81792no—
1810C24—81792no—
1811C24—8896no—
1812C24—81792no—
1813C24—828672no—
1814C24—8896no—
1815C24—814336no—
1816C24—8512no—
1817C24—81024no—
1818C24C2×#54611792yes—
1819C24C2×#5461128yes—
1820C24#3481164yes—
1821C24#3484164yes—
1822C24#35191128yes—
1823C24#3537164yes—
1824C24C24×D41112yes—
1825C24C24×D41112yes—
1826C24C24×D41256yes—
1827C24C24×D41224yes—
1828C24C24×D4128yes—
1829C24C23×#411224yes—
1830C24C23×#411224yes—
1831C24C23×#41156yes—
1832C24C22×H(5,𝔽2)1224yes—
1833C24C22×H(5,𝔽2)128yes—
1834C24C22×H(5,𝔽2)156yes—
1835C24C22×H(5,𝔽2)128yes—
1836C24C27116yes—
1837C24C2718yes—
1838C24C2718yes—
1839C24C2718yes—
1840C24C27116yes—
1841C24C27116yes—
1842C24C2717yes—
1843#41—48192no—
1844C2×Q8—2128no—
1845C2×Q8—2128no—
1846C2×Q8—464no—
1847C2×Q8—41792no—
1848C2×D4—2256no—
1849C2×D4—2256no—
1850C2×D4—2256no—
1851C2×D4—2256no—
1852C2×D4—27168no—
1853C2×D4—27168no—
1854C2×D4—2256no—
1855C2×D4—2256no—
1856C2×D4—2256no—
1857C2×D4—2128no—
1858C2×D4—2128no—
1859C2×D4—2256no—
1860C2×D4—2256no—
1861C2×D4—2256no—
1862C2×D4—2256no—
1863C2×D4—2256no—
1864C2×D4—2256no—
1865C2×D4—2256no—
1866C2×D4—2256no—
1867C2×D4—2256no—
1868C2×D4—2256no—
1869C2×D4—2128no—
1870C2×D4—2256no—
1871C2×D4—2256no—
1872C2×D4—2128no—
1873C2×D4—4128no—
1874C2×D4—4128no—
1875C2×D4—4128no—
1876C2×D4—4128no—
1877C2×D4—41792no—
1878C2×D4—464no—
1879C2×D4—464no—
1880C2×D4—464no—
1881C2×D4—464no—
1882C2×D4—464no—
1883C2×D4—43584no—
1884C2×D4—43584no—
1885C2×D4—43584no—
1886C2×D4—41792no—
1887C2×D4—4128no—
1888C2×D4—4128no—
1889C2×D4—4128no—
1890C2×D4—464no—
1891C2×D4—4128no—
1892C2×D4—4128no—
1893C2×D4—464no—
1894C2×D4—416384no—
1895C2×D4—416384no—
1896C2×D4—43584no—
1897C2×D4—41792no—
1898C2×D4—43584no—
1899C2×D4—43584no—
1900C2×D4—8896no—
1901C2×D4—81792no—
1902C2×D4—81792no—
1903C2×D4C24×D41512yes—
1904C2×D4C24×D41256yes—
1905C2×D4C23×#411512yescomplemented
1906C22×C4—23584no—
1907C22×C4—2448no—
1908C22×C4—2448no—
1909C22×C4—2448no—
1910C22×C4—256no—
1911C22×C4—2112no—
1912C22×C4—256no—
1913C22×C4—2128no—
1914C22×C4—2112no—
1915C22×C4—2112no—
1916C22×C4—256no—
1917C22×C4—256no—
1918C22×C4—256no—
1919C22×C4—256no—
1920C22×C4—2112no—
1921C22×C4—2896no—
1922C22×C4—2896no—
1923C22×C4—2128no—
1924C22×C4—2128no—
1925C22×C4—2112no—
1926C22×C4—2112no—
1927C22×C4—2112no—
1928C22×C4—256no—
1929C22×C4—2256no—
1930C22×C4—2128no—
1931C22×C4—2256no—
1932C22×C4—2256no—
1933C22×C4—2128no—
1934C22×C4—2112no—
1935C22×C4—2112no—
1936C22×C4—2112no—
1937C22×C4—2112no—
1938C22×C4—2112no—
1939C22×C4—2112no—
1940C22×C4—2112no—
1941C22×C4—2112no—
1942C22×C4—2112no—
1943C22×C4—2112no—
1944C22×C4—2112no—
1945C22×C4—2112no—
1946C22×C4—2112no—
1947C22×C4—2112no—
1948C22×C4—2112no—
1949C22×C4—2112no—
1950C22×C4—256no—
1951C22×C4—256no—
1952C22×C4—2112no—
1953C22×C4—2112no—
1954C22×C4—2256no—
1955C22×C4—2256no—
1956C22×C4—2128no—
1957C22×C4—2256no—
1958C22×C4—2256no—
1959C22×C4—2256no—
1960C22×C4—2256no—
1961C22×C4—2256no—
1962C22×C4—2128no—
1963C22×C4—2128no—
1964C22×C4—4128no—
1965C22×C4—4128no—
1966C22×C4—464no—
1967C22×C4—464no—
1968C22×C4—4128no—
1969C22×C4—4128no—
1970C22×C4—464no—
1971C22×C4—464no—
1972C22×C4—43584no—
1973C22×C4—41792no—
1974C22×C4—4128no—
1975C22×C4—4128no—
1976C22×C4—464no—
1977C22×C4—4128no—
1978C22×C4—4128no—
1979C22×C4—4128no—
1980C22×C4—43584no—
1981C22×C4—43584no—
1982C22×C4—43584no—
1983C22×C4—41792no—
1984C22×C4—48192no—
1985C22×C4—41792no—
1986C22×C4—4448no—
1987C22×C4—4448no—
1988C22×C4—4448no—
1989C22×C4—4224no—
1990C22×C4—4448no—
1991C22×C4—4448no—
1992C22×C4—4448no—
1993C22×C4—4448no—
1994C22×C4—81792no—
1995C22×C4—81792no—
1996C22×C4—8896no—
1997C22×C4C24×D41224yes—
1998C22×C4C24×D41112yes—
1999C22×C4C23×#411224yes—
2000C22×C4C22×H(5,𝔽2)1112yes—
2001C22×C4C22×H(5,𝔽2)1112yes—
2002C22×C4C27116yes—
2003C22×C4C27116yes—
2004C22×C4C27116yes—
2005C22×C4C27116yes—
2006C22×C4C27116yes—
2007C22×C4C27116yes—
2008C22×C4C2718yes—
2009C22×C4C27116yes—
2010C22×C4C27116yes—
2011C22×C4C2718yes—
2012C22×C4C27116yes—
2013C22×C4C2718yes—
2014C22×C4C2718yes—
2015C4⋊C4—2256no—
2016C4⋊C4—2256no—
2017C4⋊C4—2256no—
2018C4⋊C4—2256no—
2019C4⋊C4—2256no—
2020C4⋊C4—4128no—
2021C4⋊C4—464no—
2022C4⋊C4—4128no—
2023C22⋊C4—2128no—
2024C22⋊C4—2256no—
2025C22⋊C4—2256no—
2026C22⋊C4—2128no—
2027C22⋊C4—2256no—
2028C22⋊C4—2256no—
2029C22⋊C4—2256no—
2030C22⋊C4—2256no—
2031C22⋊C4—2256no—
2032C22⋊C4—2256no—
2033C22⋊C4—2256no—
2034C22⋊C4—2256no—
2035C22⋊C4—2256no—
2036C22⋊C4—2256no—
2037C22⋊C4—2256no—
2038C22⋊C4—4128no—
2039C22⋊C4—4128no—
2040C22⋊C4—4128no—
2041C22⋊C4—4128no—
2042C22⋊C4—4128no—
2043C22⋊C4—4128no—
2044C22⋊C4—4128no—
2045C22⋊C4—4128no—
2046C22⋊C4—464no—
2047C22⋊C4—4128no—
2048C22⋊C4—4128no—
2049C22⋊C4—4128no—
2050C22⋊C4—4128no—
2051C22⋊C4—4128no—
2052C22⋊C4C24×D41256yes—
2053C22⋊C4C24×D41512yes—
2054C42—2256no—
2055C42—2128no—
2056C42—4128no—
2057C42—464no—
2058C23—2448no—
2059C23—2448no—
2060C23—27168no—
2061C23—2448no—
2062C23—2448no—
2063C23—2448no—
2064C23—2448no—
2065C23—216no—
2066C23—216no—
2067C23—216no—
2068C23—216no—
2069C23—2448no—
2070C23—2448no—
2071C23—21024no—
2072C23—2448no—
2073C23—2448no—
2074C23—2224no—
2075C23—2224no—
2076C23—2448no—
2077C23—216no—
2078C23—216no—
2079C23—216no—
2080C23—216no—
2081C23—216no—
2082C23—216no—
2083C23—216no—
2084C23—28no—
2085C23—216no—
2086C23—216no—
2087C23—28no—
2088C23—28no—
2089C23—28no—
2090C23—216no—
2091C23—28no—
2092C23—216no—
2093C23—216no—
2094C23—216no—
2095C23—216no—
2096C23—216no—
2097C23—216no—
2098C23—216no—
2099C23—216no—
2100C23—216no—
2101C23—28no—
2102C23—28no—
2103C23—4256no—
2104C23—4512no—
2105C23—414336no—
2106C23—4256no—
2107C23—4256no—
2108C23—4512no—
2109C23—4512no—
2110C23—4512no—
2111C23—4512no—
2112C23—4256no—
2113C23—4112no—
2114C23—4112no—
2115C23—4224no—
2116C23—4224no—
2117C23—41792no—
2118C23—41792no—
2119C23—43584no—
2120C23—4112no—
2121C23—4112no—
2122C23—4224no—
2123C23—4224no—
2124C23—4224no—
2125C23—4224no—
2126C23—4112no—
2127C23—4224no—
2128C23—4512no—
2129C23—4224no—
2130C23—4224no—
2131C23—4224no—
2132C23—4112no—
2133C23—4224no—
2134C23—4112no—
2135C23—4224no—
2136C23—4224no—
2137C23—4224no—
2138C23—4224no—
2139C23—8256no—
2140C23—8256no—
2141C23—8256no—
2142C23—8128no—
2143C23—8256no—
2144C23—814336no—
2145C23—87168no—
2146C23—8128no—
2147C23—8896no—
2148C23—81792no—
2149C23#590891512yesdirect product factor
2150C23C22×#5461896yes—
2151C23C22×#5461224yes—
2152C23C2×#34811112yes—
2153C23C2×#35371112yes—
2154C23C2×#34841112yes—
2155C23C2×#35191224yes—
2156C23C25×D4116yes—
2157C23C25×D4116yes—
2158C23C25×D4132yes—
2159C23C25×D4114yes—
2160C23C24×#41132yes—
2161C23C24×#41132yes—
2162C23C24×#41128yes—
2163C23C23×H(5,𝔽2)132yes—
2164C23C23×H(5,𝔽2)128yes—
2165C23C23×H(5,𝔽2)114yes—
2166C23C23×H(5,𝔽2)114yes—
2167C23C2811yescharacteristic
2168Q8—4256no—
2169D4—21024no—
2170D4—21024no—
2171D4—4256no—
2172D4—4512no—
2173D4—4512no—
2174D4—4512no—
2175D4—4256no—
2176D4—4512no—
2177D4—4256no—
2178D4—4512no—
2179D4—4512no—
2180D4—8128no—
2181D4—8256no—
2182D4—8256no—
2183C2×C4—2512no—
2184C2×C4—2448no—
2185C2×C4—2448no—
2186C2×C4—2224no—
2187C2×C4—2224no—
2188C2×C4—2224no—
2189C2×C4—28no—
2190C2×C4—216no—
2191C2×C4—28no—
2192C2×C4—216no—
2193C2×C4—216no—
2194C2×C4—28no—
2195C2×C4—28no—
2196C2×C4—28no—
2197C2×C4—28no—
2198C2×C4—216no—
2199C2×C4—216no—
2200C2×C4—216no—
2201C2×C4—216no—
2202C2×C4—28no—
2203C2×C4—216no—
2204C2×C4—216no—
2205C2×C4—216no—
2206C2×C4—216no—
2207C2×C4—216no—
2208C2×C4—216no—
2209C2×C4—216no—
2210C2×C4—216no—
2211C2×C4—216no—
2212C2×C4—216no—
2213C2×C4—216no—
2214C2×C4—216no—
2215C2×C4—216no—
2216C2×C4—216no—
2217C2×C4—216no—
2218C2×C4—216no—
2219C2×C4—28no—
2220C2×C4—28no—
2221C2×C4—216no—
2222C2×C4—216no—
2223C2×C4—4512no—
2224C2×C4—4256no—
2225C2×C4—4512no—
2226C2×C4—4512no—
2227C2×C4—4512no—
2228C2×C4—4256no—
2229C2×C4—4256no—
2230C2×C4—4224no—
2231C2×C4—4224no—
2232C2×C4—4224no—
2233C2×C4—4224no—
2234C2×C4—4224no—
2235C2×C4—4112no—
2236C2×C4—4224no—
2237C2×C4—4224no—
2238C2×C4—8256no—
2239C2×C4—8256no—
2240C2×C4—8128no—
2241C2×C4C25×D4132yes—
2242C2×C4C25×D4116yes—
2243C2×C4C24×#41132yes—
2244C2×C4C23×H(5,𝔽2)116yes—
2245C2×C4C23×H(5,𝔽2)116yes—
2246C22—232no—
2247C22—232no—
2248C22—232no—
2249C22—21792no—
2250C22—232no—
2251C22—232no—
2252C22—232no—
2253C22—216no—
2254C22—216no—
2255C22—232no—
2256C22—232no—
2257C22—232no—
2258C22—232no—
2259C22—232no—
2260C22—41024no—
2261C22—416no—
2262C22—416no—
2263C22—416no—
2264C22—416no—
2265C22—4448no—
2266C22—4448no—
2267C22—4896no—
2268C22—416no—
2269C22—48no—
2270C22—48no—
2271C22—48no—
2272C22—48no—
2273C22—416no—
2274C22—48no—
2275C22—416no—
2276C22—416no—
2277C22—416no—
2278C22—416no—
2279C22—416no—
2280C22—416no—
2281C22—416no—
2282C22—48no—
2283C22—416no—
2284C22—48no—
2285C22—416no—
2286C22—81024no—
2287C22—8512no—
2288C22—8224no—
2289C22—8448no—
2290C22C2×#590891448yesdirect product factor
2291C22C23×#546164yes—
2292C22C23×#546156yes—
2293C22C22×#3481128yes—
2294C22C22×#3484128yes—
2295C22C22×#3519156yes—
2296C22C22×#3537128yes—
2297C22C26×D411yescharacteristic
2298C22C25×#4112yes—
2299C22C24×H(5,𝔽2)11yescharacteristic
2300C22C24×H(5,𝔽2)11yescharacteristic
2301C22C24×H(5,𝔽2)12yes—
2302C4—216no—
2303C4—216no—
2304C4—216no—
2305C4—232no—
2306C4—232no—
2307C4—416no—
2308C4—48no—
2309C4—416no—
2310C4—416no—
2311C4—416no—
2312C4—416no—
2313C4—416no—
2314C4—416no—
2315C2—264no—
2316C2—416no—
2317C2—416no—
2318C2—432no—
2319C2—88no—
2320C2—816no—
2321C2C23×#348411yescharacteristic
2322C2C23×#353711yescharacteristic
2323C2C24×#54612yes—
2324C2C22×#59089156yesdirect product factor
2325C2C23×#348111yescharacteristic
2326C2C23×#351912yes—
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC23C28
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#2476C2semidirect
2. C23×#2709C2semidirect
3. C23×#2450C2semidirect
4. C23×#2444C2semidirect
5. C23×#2697C2semidirect
6. C23×#2703C2semidirect
7. C23×#2364C2semidirect
8. C23×#2472C2semidirect
9. C23×#2543C2semidirect
10. C24×#386C2semidirect
11. C22×#59089C2direct (N × H)
12. C23×#2431C2semidirect
13. C23×#2424C2semidirect
14. C23×#2404C2semidirect
15. C23×#2358C2semidirect
16. C23×D4×C22⋊C4C2semidirect
17. C24×#525C2semidirect
18. C23×#2410C2semidirect
19. C23×#2410C2semidirect
20. C24×D42C2semidirect
21. C25×#41C22semidirect
24. C27×C4C22semidirect
26. C23×D42C22semidirect
28. C24×#124C22semidirect
30. C23×#525C22semidirect
31. C24×#123C22semidirect
32. C24×#123C22semidirect
33. C24×C22⋊Q8C22semidirect
37. C24×#121C22semidirect
38. C24×#121C22semidirect
39. C24×#121C22semidirect
43. C24×#120C22semidirect
44. C24×#120C22semidirect
45. C24×#120C22semidirect
47. C24×C4×D4C22semidirect
48. C24×C4×D4C22semidirect
49. C24×C4×D4C22semidirect
50. C24×#117C22semidirect
51. C25×C22⋊C4C22semidirect
52. C25×C22⋊C4C22semidirect
53. C25×C22⋊C4C22semidirect
54. C25×C22⋊C4C22semidirect
55. C2×#59089C22direct (N × H)
56. C22×#2709C22semidirect
57. C22×#2703C22semidirect
58. C22×#2697C22semidirect
59. C22×#2543C22semidirect
60. C22×#2404C22semidirect
61. C22×#2476C22semidirect
62. C22×#2431C22semidirect
63. C22×#2450C22semidirect
64. C22×#2444C22semidirect
65. C22×#2472C22semidirect
66. C22×#2424C22semidirect
67. C22×#2410C22semidirect
68. C22×#2410C22semidirect
69. C23×#400C22semidirect
70. C23×#398C22semidirect
71. C23×#397C22semidirect
72. C23×#397C22semidirect
73. C23×#396C22semidirect
74. C23×#394C22semidirect
75. C23×#394C22semidirect
76. C23×#394C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
80. C23×#393C22semidirect
81. C23×#392C22semidirect
82. C23×#392C22semidirect
83. C23×#392C22semidirect
84. C23×#392C22semidirect
85. C22×#2364C22semidirect
86. C22×#2358C22semidirect
87. C22×D4×C22⋊C4C22semidirect
88. C23×#391C22semidirect
89. C23×#390C22semidirect
90. C23×#390C22semidirect
91. C23×#390C22semidirect
92. C23×#388C22semidirect
93. C23×#388C22semidirect
94. C23×#388C22semidirect
95. C23×#388C22semidirect
96. C23×#388C22semidirect
97. C23×#387C22semidirect
98. C23×#387C22semidirect
102. C23×#386C22semidirect
103. C23×#386C22semidirect
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×#386C22semidirect
117. C23×#386C22semidirect
118. C23×#385C22semidirect
119. C23×#385C22semidirect
120. C23×#385C22semidirect
121. C23×#381C22semidirect
122. C23×#380C22semidirect
123. C23×#379C22semidirect
124. C23×#379C22semidirect
125. C23×C4×C22⋊C4C22semidirect
126. C23×C4×C22⋊C4C22semidirect
127. C23×C4×C22⋊C4C22semidirect
128. C24×#95C22semidirect
129. C24×#95C22semidirect
136. C24×#41C23semidirect
174. C26×C4C23semidirect
176. C22×D42C23semidirect
180. C23×#124C23semidirect
182. C22×#525C23semidirect
185. C23×#123C23semidirect
186. C23×#123C23semidirect
188. C23×C22⋊Q8C23semidirect
198. C23×#121C23semidirect
199. C23×#121C23semidirect
200. C23×#121C23semidirect
206. C23×#120D4semidirect
210. C23×#120C23semidirect
211. C23×#120C23semidirect
212. C23×#120C23semidirect
218. C23×C4×D4C23semidirect
219. C23×C4×D4C23semidirect
220. C23×C4×D4C23semidirect
222. C23×#117C23semidirect
266. C24×C22⋊C4C23semidirect
267. C24×C22⋊C4C23semidirect
268. C24×C22⋊C4C23semidirect
269. C24×C22⋊C4C23semidirect
274. #59089C23direct (N × H)
275. C2×#2709C23semidirect
276. C2×#2703C23semidirect
277. C2×#2697C23semidirect
278. C2×#2543C23semidirect
279. C2×#2404C23semidirect
280. C2×#2476C23semidirect
281. C2×#2431C23semidirect
282. C2×#2450C23semidirect
283. C2×#2444C23semidirect
284. C2×#2472C23semidirect
285. C2×#2424C23semidirect
286. C2×#2410C23semidirect
287. C2×#2410C23semidirect
288. C22×#400C23semidirect
289. C22×#398C23semidirect
290. C22×#397C23semidirect
291. C22×#397C23semidirect
292. C22×#396C23semidirect
293. C22×#394C23semidirect
294. C22×#394C23semidirect
295. C22×#394C23semidirect
296. C22×#394C23semidirect
297. C22×#394C23semidirect
298. C22×#394C23semidirect
299. C22×#393C23semidirect
300. C22×#392C23semidirect
301. C22×#392C23semidirect
302. C22×#392C23semidirect
303. C22×#392C23semidirect
304. C2×#2364C23semidirect
305. C2×#2358C23semidirect
306. C2×D4×C22⋊C4C23semidirect
307. C22×#391C23semidirect
308. C22×#390C23semidirect
309. C22×#390C23semidirect
310. C22×#390C23semidirect
311. C22×#388C23semidirect
312. C22×#388C23semidirect
313. C22×#388C23semidirect
314. C22×#388C23semidirect
315. C22×#388C23semidirect
316. C22×#387C23semidirect
317. C22×#387C23semidirect
321. C22×#386C23semidirect
322. C22×#386C23semidirect
323. C22×#386C23semidirect
324. C22×#386C23semidirect
325. C22×#386C23semidirect
326. C22×#386C23semidirect
327. C22×#386C23semidirect
328. C22×#386C23semidirect
329. C22×#386C23semidirect
330. C22×#386C23semidirect
331. C22×#386C23semidirect
332. C22×#386C23semidirect
333. C22×#386C23semidirect
334. C22×#386C23semidirect
335. C22×#386C23semidirect
336. C22×#386C23semidirect
337. C22×#385C23semidirect
338. C22×#385C23semidirect
339. C22×#385C23semidirect
340. C22×#381C23semidirect
341. C22×#380C23semidirect
342. C22×#379C23semidirect
343. C22×#379C23semidirect
344. C22×C4×C22⋊C4C23semidirect
345. C22×C4×C22⋊C4C23semidirect
346. C22×C4×C22⋊C4C23semidirect
362. C23×#95C23semidirect
363. C23×#95C23semidirect
394. C23×#41C24semidirect
448. C24×D4#41semidirect
525. C25×C4C24semidirect
527. C2×D42C24semidirect
531. C22×#124C24semidirect
533. C2×#525C24semidirect
536. C22×#123C24semidirect
537. C22×#123C24semidirect
539. C22×C22⋊Q8C24semidirect
549. C22×#121C24semidirect
550. C22×#121C24semidirect
551. C22×#121C24semidirect
557. C22×#120C2×D4semidirect
561. C22×#120C24semidirect
562. C22×#120C24semidirect
563. C22×#120C24semidirect
569. C22×C4×D4C24semidirect
570. C22×C4×D4C24semidirect
571. C22×C4×D4C24semidirect
573. C22×#117C24semidirect
656. C23×C22⋊C4C24semidirect
657. C23×C22⋊C4C24semidirect
658. C23×C22⋊C4C24semidirect
659. C23×C22⋊C4C24semidirect
668. #2709C24semidirect
669. #2703C24semidirect
670. #2697C24semidirect
671. #2543C24semidirect
672. #2476C24semidirect
673. #2472C24semidirect
674. #2450C24semidirect
675. #2444C24semidirect
676. #2431C24semidirect
677. #2424C24semidirect
678. #2410C24semidirect
679. #2410C24semidirect
680. #2404C24semidirect
681. C2×#400C24semidirect
682. C2×#398C24semidirect
683. C2×#397C24semidirect
684. C2×#397C24semidirect
685. C2×#396C24semidirect
686. C2×#394C24semidirect
687. C2×#394C24semidirect
688. C2×#394C24semidirect
689. C2×#394C24semidirect
690. C2×#394C24semidirect
691. C2×#394C24semidirect
692. C2×#393C24semidirect
693. C2×#392C24semidirect
694. C2×#392C24semidirect
695. C2×#392C24semidirect
696. C2×#392C24semidirect
697. #2364C24semidirect
698. #2358C24semidirect
699. D4×C22⋊C4C24semidirect
700. C2×#391C24semidirect
701. C2×#390C24semidirect
702. C2×#390C24semidirect
703. C2×#390C24semidirect
704. C2×#388C24semidirect
705. C2×#388C24semidirect
706. C2×#388C24semidirect
707. C2×#388C24semidirect
708. C2×#388C24semidirect
709. C2×#387C24semidirect
710. C2×#387C24semidirect
714. C2×#386C24semidirect
715. C2×#386C24semidirect
716. C2×#386C24semidirect
717. C2×#386C24semidirect
718. C2×#386C24semidirect
719. C2×#386C24semidirect
720. C2×#386C24semidirect
721. C2×#386C24semidirect
722. C2×#386C24semidirect
723. C2×#386C24semidirect
724. C2×#386C24semidirect
725. C2×#386C24semidirect
726. C2×#386C24semidirect
727. C2×#386C24semidirect
728. C2×#386C24semidirect
729. C2×#386C24semidirect
730. C2×#385C24semidirect
731. C2×#385C24semidirect
732. C2×#385C24semidirect
733. C2×#381C24semidirect
734. C2×#380C24semidirect
735. C2×#379C24semidirect
736. C2×#379C24semidirect
737. C2×C4×C22⋊C4C24semidirect
738. C2×C4×C22⋊C4C24semidirect
739. C2×C4×C22⋊C4C24semidirect
755. C22×#95C24semidirect
756. C22×#95C24semidirect
841. C22×#41C25semidirect
910. C23×D4C2×#41semidirect
1037. C24×C4C25semidirect
1042. C2×#124C25semidirect
1046. C2×#123C25semidirect
1047. C2×#123C25semidirect
1049. C2×C22⋊Q8C25semidirect
1059. C2×#121C25semidirect
1060. C2×#121C25semidirect
1061. C2×#121C25semidirect
1067. C2×#120C22×D4semidirect
1071. C2×#120C25semidirect
1072. C2×#120C25semidirect
1073. C2×#120C25semidirect
1079. C2×C4×D4C25semidirect
1080. C2×C4×D4C25semidirect
1081. C2×C4×D4C25semidirect
1083. C2×#117C25semidirect
1166. C22×C22⋊C4C25semidirect
1167. C22×C22⋊C4C25semidirect
1168. C22×C22⋊C4C25semidirect
1169. C22×C22⋊C4C25semidirect
1178. #400C25semidirect
1179. #398C25semidirect
1180. #397C25semidirect
1181. #397C25semidirect
1182. #396C25semidirect
1183. #394C25semidirect
1184. #394C25semidirect
1185. #394C25semidirect
1186. #394C25semidirect
1187. #394C25semidirect
1188. #394C25semidirect
1189. #393C25semidirect
1190. #392C25semidirect
1191. #392C25semidirect
1192. #392C25semidirect
1193. #392C25semidirect
1194. #391C25semidirect
1195. #390C25semidirect
1196. #390C25semidirect
1197. #390C25semidirect
1198. #388C25semidirect
1199. #388C25semidirect
1200. #388C25semidirect
1201. #388C25semidirect
1202. #388C25semidirect
1203. #387C25semidirect
1204. #387C25semidirect
1208. #386C25semidirect
1209. #386C25semidirect
1210. #386C25semidirect
1211. #386C25semidirect
1212. #386C25semidirect
1213. #386C25semidirect
1214. #386C25semidirect
1215. #386C25semidirect
1216. #386C25semidirect
1217. #386C25semidirect
1218. #386C25semidirect
1219. #386C25semidirect
1220. #386C25semidirect
1221. #386C25semidirect
1222. #386C25semidirect
1223. #385C25semidirect
1224. #385C25semidirect
1225. #385C25semidirect
1226. #381C25semidirect
1227. #380C25semidirect
1228. #379C25semidirect
1229. #379C25semidirect
1230. C4×C22⋊C4C25semidirect
1231. C4×C22⋊C4C25semidirect
1232. C4×C22⋊C4C25semidirect
1248. C2×#95C25semidirect
1249. C2×#95C25semidirect
1446. C22×D4C22×#41semidirect
1600. #120C23×D4semidirect
1905. C2×D4C23×#41semidirect
2149. C23#59089direct (N × H)
2290. C22C2×#59089direct (N × H)
2324. C2C22×#59089direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#24762
C23×#27092
C23×#24502
C23×#24442
C23×#26972
C23×#27032
C23×#23642
C23×#24722
C23×#25432
C24×#3862
C22×#590892
C23×#24312
C23×#24242
C23×#24042
C23×#23582
C23×D4×C22⋊C42
C24×#5252
C23×#24102
C24×D422