Finite Group Databasebeta

← C23×#37662 #72339201

Subgroups — C23×#37662 #72339201

Order 2048.

1618664 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2442C211yesmaximal, characteristic, complemented
2C23×#2490C211yesmaximal, characteristic, complemented
3C23×#2624C211yesmaximal, characteristic, complemented
4C23×#2699C212yesmaximal, complemented
5C22×#37662C21224yesmaximal, direct product factor
6C23×#2703C212yesmaximal, complemented
7C24×#540C211yesmaximal, characteristic, complemented
8C23×#2420C211yesmaximal, characteristic, complemented
9C23×#2688C212yesmaximal, complemented
10C23×#2280C211yesmaximal, characteristic, complemented
11C23×#2361C211yesmaximal, characteristic, complemented
12C23×#2324C211yesmaximal, characteristic, complemented
13C23×#2412C212yesmaximal, complemented
14C23×#2418C212yesmaximal, complemented
15C23×#2671C212yesmaximal, complemented
16C23×#2619C211yesmaximal, characteristic, complemented
17C23×#2428C211yesmaximal, characteristic, complemented
18C23×#2428C211yesmaximal, characteristic, complemented
19C25×#121C211yesmaximal, characteristic, complemented
20C23×D4×C22⋊C4C211yesmaximal, characteristic, complemented
21C23×#2847C211yesmaximal, characteristic, complemented
22C23×#2433C211yesmaximal, characteristic, complemented
23C23×#2410C212yesmaximal, complemented
24C23×#2408C212yesmaximal, complemented
25C26×D4C2211yescharacteristic
26C26×D4C2212yes—
27C27×C4C2211yescharacteristic
28C23×#540—264no—
29C23×#540C221112yescomplemented
30C24×#127C2211yescharacteristic, complemented
31C24×#127C2211yescharacteristic, complemented
32C24×#125C2211yescharacteristic, complemented
33C24×#123C2212yescomplemented
34C24×#123C2212yescomplemented
35C24×#121—264no—
36C24×#121C2211yescharacteristic
37C24×#121C2211yescharacteristic
38C24×#121C2211yescharacteristic
39C24×#121C2212yes—
40C24×#121C2211yescharacteristic
41C24×#121C2212yes—
42C24×#121C2211yescharacteristic
43C24×#121C221112yescomplemented
44C24×#121C2211yescharacteristic, complemented
45C24×#121C2212yescomplemented
46C24×#121C2212yescomplemented
47C24×#121C2211yescharacteristic, complemented
48C24×#121C2212yescomplemented
49C24×#121C2212yescomplemented
50C24×#120C2212yes—
51C24×#120C2212yes—
52C24×#120C2212yes—
53C24×C4×D4C2212yes—
54C24×C4×D4C2211yescharacteristic, complemented
55C24×C4×D4C2211yescharacteristic, complemented
56C24×C4×D4C2211yescharacteristic, complemented
57C24×#117C2211yescharacteristic, complemented
58C24×#117C2211yescharacteristic, complemented
59C25×C4⋊C4C2211yescharacteristic
60C25×C22⋊C4C2212yes—
61C25×C22⋊C4C2212yes—
62C2×#37662C2217168yesdirect product factor
63C22×#2699C221224yescomplemented
64C22×#2703C221224yescomplemented
65C22×#2688C221224yescomplemented
66C22×#2671C221224yescomplemented
67C22×#2847C221112yescomplemented
68C22×#2490C221112yescomplemented
69C22×#2420C221112yescomplemented
70C22×#2442C221112yescomplemented
71C22×#2428C221112yescomplemented
72C22×#2428C221112yescomplemented
73C22×#2433C221112yescomplemented
74C22×#2408C221224yescomplemented
75C22×#2412C221224yescomplemented
76C22×#2418C221224yescomplemented
77C22×#2410C221224yescomplemented
78C22×#2624C221112yescomplemented
79C22×#2619C221112yescomplemented
80C23×#400C2212yescomplemented
81C23×#399C2212yescomplemented
82C23×#398C2212yescomplemented
83C23×#397C2212yescomplemented
84C23×#397C2212yescomplemented
85C23×#397C2212yescomplemented
86C23×#394C2212yescomplemented
87C23×#394C2212yescomplemented
88C23×#394C2212yescomplemented
89C23×#394C2212yescomplemented
90C23×#394C2212yescomplemented
91C23×#394C2212yescomplemented
92C23×#394C2212yescomplemented
93C23×#394C2212yescomplemented
94C23×#392C2212yescomplemented
95C23×#392C2212yescomplemented
96C23×#392C2212yescomplemented
97C23×#392C2212yescomplemented
98C23×#392C2212yescomplemented
99C23×#392C2212yescomplemented
100C22×#2361C221112yescomplemented
101C22×D4×C22⋊C4C221112yescomplemented
102C22×#2324C221112yescomplemented
103C23×#390C2211yescharacteristic, complemented
104C23×#390C2211yescharacteristic, complemented
105C23×#390C2211yescharacteristic, complemented
106C23×#390C2211yescharacteristic, complemented
107C23×#390C2212yescomplemented
108C23×#390C2211yescharacteristic, complemented
109C23×#390C2212yescomplemented
110C23×#389C2211yescharacteristic, complemented
111C23×#389C2211yescharacteristic, complemented
112C23×#389C2211yescharacteristic, complemented
113C23×#388C2212yescomplemented
114C23×#388C2212yescomplemented
115C23×#388C2212yescomplemented
116C23×#386C2212yes—
117C23×#386C2212yes—
118C23×#386C2212yescomplemented
119C23×#386C2212yescomplemented
120C23×#386C2212yescomplemented
121C23×#386C2212yescomplemented
122C23×#386C2212yescomplemented
123C23×#386C2212yescomplemented
124C23×#386C2212yescomplemented
125C23×#386C2212yescomplemented
126C23×#385C2212yes—
127C23×#385C2212yescomplemented
128C23×#385C2212yescomplemented
129C23×#382C2211yescharacteristic, complemented
130C22×#2280C221112yescomplemented
131C23×#381C2211yescharacteristic, complemented
132C23×#381C2211yescharacteristic, complemented
133C23×#381C2212yescomplemented
134C23×#380C2211yescharacteristic
135C23×#380C2211yescharacteristic
136C23×#380C2211yescharacteristic
137C23×#380C2212yes—
138C23×#380C2211yescharacteristic, complemented
139C23×#380C2211yescharacteristic, complemented
140C23×#380C2211yescharacteristic, complemented
141C23×#380C2211yescharacteristic, complemented
142C23×#379C2212yes—
143C23×#379C2211yescharacteristic
144C23×#379C2211yescharacteristic
145C23×C4×C4⋊C4C2211yescharacteristic, complemented
146C23×C4×C22⋊C4C2211yescharacteristic
147C23×C4×C22⋊C4C2211yescharacteristic
148C23×C4×C22⋊C4C2211yescharacteristic, complemented
149C23×C4×C22⋊C4C2211yescharacteristic, complemented
150C28C2311yescharacteristic
151C28C2312yes—
152C25×D4—232no—
153C25×D4—264no—
154C25×D4—232no—
155C25×D4—416no—
156C25×D4—432no—
157C25×D4—432no—
158C25×D4C2312yes—
159C25×D4C2311yescharacteristic
160C25×D4C2311yescharacteristic
161C25×D4C2312yes—
162C25×D4C2312yes—
163C25×D4C2312yes—
164C25×D4C23156yes—
165C25×D4C2311yescharacteristic
166C25×D4C2312yes—
167C25×D4C2312yes—
168C25×D4C2312yes—
169C25×D4C2312yes—
170C25×D4C2312yes—
171C25×D4C231112yes—
172C25×D4C2312yes—
173C25×D4C2312yes—
174C25×D4C2312yes—
175C26×C4—232no—
176C26×C4—232no—
177C26×C4—416no—
178C26×C4C2311yescharacteristic
179C26×C4C2311yescharacteristic
180C26×C4C2312yes—
181C26×C4C2311yescharacteristic
182C26×C4C2311yescharacteristic
183C26×C4C23156yes—
184C26×C4C2311yescharacteristic
185C26×C4C2311yescharacteristic
186C26×C4C2312yes—
187C26×C4C2312yes—
188C26×C4C2312yes—
189C22×#540—23584no—
190C22×#540C2311792yescomplemented
191C23×#127—232no—
192C23×#127—416no—
193C23×#127C23156yescomplemented
194C23×#127C23156yescomplemented
195C23×#125—232no—
196C23×#125C23156yescomplemented
197C23×#123—264no—
198C23×#123—264no—
199C23×#123C231112yescomplemented
200C23×#123C231112yescomplemented
201C23×#121—23584no—
202C23×#121—232no—
203C23×#121—264no—
204C23×#121—264no—
205C23×#121—232no—
206C23×#121—264no—
207C23×#121—264no—
208C23×#121—232no—
209C23×#121—232no—
210C23×#121—232no—
211C23×#121—416no—
212C23×#121—432no—
213C23×#121—432no—
214C23×#121D4164yescomplemented
215C23×#121C231112yes—
216C23×#121C231112yes—
217C23×#121C23156yes—
218C23×#121C23156yes—
219C23×#121C23156yes—
220C23×#121C23156yes—
221C23×#121C23156yes—
222C23×#121C2311792yescomplemented
223C23×#121C231112yescomplemented
224C23×#121C231112yescomplemented
225C23×#121C23156yescomplemented
226C23×#121C231112yescomplemented
227C23×#121C231112yescomplemented
228C23×#121C23156yescomplemented
229C23×#120—432no—
230C23×#120—432no—
231C23×#120—432no—
232C23×#120C231112yes—
233C23×#120C231112yes—
234C23×#120C231112yes—
235C23×C4×D4—232no—
236C23×C4×D4—232no—
237C23×C4×D4—432no—
238C23×C4×D4—416no—
239C23×C4×D4C231112yes—
240C23×C4×D4C23156yescomplemented
241C23×C4×D4C23156yescomplemented
242C23×C4×D4C23156yescomplemented
243C23×#117—232no—
244C23×#117—416no—
245C23×#117C23156yescomplemented
246C23×#117C23156yescomplemented
247C24×C4⋊C4—232no—
248C24×C4⋊C4C2311yescharacteristic
249C24×C4⋊C4C2311yescharacteristic
250C24×C4⋊C4C2311yescharacteristic
251C24×C4⋊C4C2311yescharacteristic
252C24×C4⋊C4C2312yes—
253C24×C4⋊C4C2311yescharacteristic
254C24×C4⋊C4C2311yescharacteristic
255C24×C4⋊C4C2312yes—
256C24×C4⋊C4C23156yes—
257C24×C4⋊C4C2312yes—
258C24×C4⋊C4C2311yescharacteristic
259C24×C4⋊C4C2311yescharacteristic
260C24×C4⋊C4C2312yes—
261C24×C4⋊C4C2312yes—
262C24×C4⋊C4C2312yes—
263C24×C4⋊C4C2311yescharacteristic
264C24×C22⋊C4—264no—
265C24×C22⋊C4—432no—
266C24×C22⋊C4C2311yescharacteristic
267C24×C22⋊C4C2311yescharacteristic
268C24×C22⋊C4C2312yes—
269C24×C22⋊C4C2311yescharacteristic
270C24×C22⋊C4C2311yescharacteristic
271C24×C22⋊C4C2311yescharacteristic
272C24×C22⋊C4C2311yescharacteristic
273C24×C22⋊C4C2311yescharacteristic
274C24×C22⋊C4C2311yescharacteristic
275C24×C22⋊C4C2312yes—
276C24×C22⋊C4C2312yes—
277C24×C22⋊C4C2312yes—
278C24×C22⋊C4C2312yes—
279C24×C22⋊C4C231112yes—
280C24×C22⋊C4C2312yes—
281C24×C22⋊C4C2312yes—
282C24×C22⋊C4C2312yes—
283C24×C22⋊C4C2311yescharacteristic
284C24×C22⋊C4C2311yescharacteristic
285C24×C22⋊C4C2311yescharacteristic
286C24×C22⋊C4C2311yescharacteristic
287C24×C22⋊C4C2312yes—
288C24×C22⋊C4C2312yes—
289C24×C22⋊C4C2312yes—
290C24×C22⋊C4C2312yes—
291C24×C22⋊C4C2312yes—
292C24×C22⋊C4C2312yes—
293C24×C22⋊C4C2312yes—
294C24×C22⋊C4C2312yes—
295C24×C22⋊C4C231112yes—
296C24×C22⋊C4C2312yes—
297C24×C22⋊C4C2312yes—
298C24×C22⋊C4C2312yes—
299C24×C22⋊C4C2312yes—
300C24×C22⋊C4C2312yes—
301C24×C22⋊C4C2312yes—
302C24×C22⋊C4C2312yes—
303C24×C42C2311yescharacteristic
304C24×C42C2311yescharacteristic
305C24×C42C2311yescharacteristic
306C24×C42C2311yescharacteristic
307C24×C42C2312yes—
308C2×#2703C2313584yescomplemented
309C2×#2699C2313584yescomplemented
310C2×#2688C2313584yescomplemented
311C2×#2671C2313584yescomplemented
312#37662C23132768yesdirect product factor
313C2×#2847C2311792yescomplemented
314C2×#2490C2311792yescomplemented
315C2×#2420C2311792yescomplemented
316C2×#2442C2311792yescomplemented
317C2×#2428C2311792yescomplemented
318C2×#2428C2311792yescomplemented
319C2×#2433C2311792yescomplemented
320C2×#2408C2313584yescomplemented
321C2×#2412C2313584yescomplemented
322C2×#2418C2313584yescomplemented
323C2×#2410C2313584yescomplemented
324C2×#2624C2311792yescomplemented
325C2×#2619C2311792yescomplemented
326C22×#400C231112yescomplemented
327C22×#399C231112yescomplemented
328C22×#398C231112yescomplemented
329C22×#397C231112yescomplemented
330C22×#397C231112yescomplemented
331C22×#397C231112yescomplemented
332C22×#394C231112yescomplemented
333C22×#394C231112yescomplemented
334C22×#394C231112yescomplemented
335C22×#394C231112yescomplemented
336C22×#394C231112yescomplemented
337C22×#394C231112yescomplemented
338C22×#394C231112yescomplemented
339C22×#394C231112yescomplemented
340C22×#392C231112yescomplemented
341C22×#392C231112yescomplemented
342C22×#392C231112yescomplemented
343C22×#392C231112yescomplemented
344C22×#392C231112yescomplemented
345C22×#392C231112yescomplemented
346C2×#2361C2311792yescomplemented
347C2×D4×C22⋊C4C2311792yescomplemented
348C2×#2324C2311792yescomplemented
349C22×#390C231112yescomplemented
350C22×#390C231112yescomplemented
351C22×#390C23156yescomplemented
352C22×#390C23156yescomplemented
353C22×#390C23156yescomplemented
354C22×#390C23156yescomplemented
355C22×#390C23156yescomplemented
356C22×#389C23156yescomplemented
357C22×#389C23156yescomplemented
358C22×#389C23156yescomplemented
359C22×#388C231112yescomplemented
360C22×#388C231112yescomplemented
361C22×#388C231112yescomplemented
362C22×#386C231112yes—
363C22×#386C231112yes—
364C22×#386C231112yescomplemented
365C22×#386C231112yescomplemented
366C22×#386C231112yescomplemented
367C22×#386C231112yescomplemented
368C22×#386C231112yescomplemented
369C22×#386C231112yescomplemented
370C22×#386C231112yescomplemented
371C22×#386C231112yescomplemented
372C22×#385C231112yes—
373C22×#385C231112yescomplemented
374C22×#385C231112yescomplemented
375C22×#382C23156yescomplemented
376C2×#2280C2311792yescomplemented
377C22×#381C23156yescomplemented
378C22×#381C23156yescomplemented
379C22×#381C231112yescomplemented
380C22×#380C23156yes—
381C22×#380C23156yes—
382C22×#380C231112yes—
383C22×#380C23156yes—
384C22×#380C23156yescomplemented
385C22×#380C23156yescomplemented
386C22×#380C23156yescomplemented
387C22×#380C23156yescomplemented
388C22×#379C23156yes—
389C22×#379C23156yes—
390C22×#379C231112yes—
391C22×C4×C4⋊C4C23156yescomplemented
392C22×C4×C22⋊C4C23156yes—
393C22×C4×C22⋊C4C23156yes—
394C22×C4×C22⋊C4C23156yescomplemented
395C22×C4×C22⋊C4C23156yescomplemented
396C23×#95C2311yescharacteristic
397C23×#95C2312yes—
398C23×#95C2311yescharacteristic
399C23×#95C2311yescharacteristic
400C23×#95C2311yescharacteristic
401C23×#95C2312yes—
402C23×#95C2312yes—
403C23×#95C2311yescharacteristic
404C23×#95C2312yes—
405C23×#95C2311yescharacteristic
406C23×#95C2311yescharacteristic
407C23×#95C2311yescharacteristic
408C23×#95C2312yes—
409C23×#95C2312yes—
410C23×#95C2312yes—
411C23×#95C2312yes—
412C23×#95C2312yes—
413C27—216no—
414C27—216no—
415C27—216no—
416C27—232no—
417C27—216no—
418C27—216no—
419C27—232no—
420C27—232no—
421C27—232no—
422C27—48no—
423C27—48no—
424C27—416no—
425C27—416no—
426C27—416no—
427C27C2412yes—
428C27C2412yes—
429C27C2411yescharacteristic
430C27C2412yes—
431C27C2411yescharacteristic
432C27C24128yes—
433C27C24156yes—
434C27C2411yescharacteristic
435C24×D4—232no—
436C24×D4—232no—
437C24×D4—232no—
438C24×D4—232no—
439C24×D4—232no—
440C24×D4—232no—
441C24×D4—232no—
442C24×D4—232no—
443C24×D4—232no—
444C24×D4—232no—
445C24×D4—232no—
446C24×D4—232no—
447C24×D4—2896no—
448C24×D4—21792no—
449C24×D4—232no—
450C24×D4—216no—
451C24×D4—216no—
452C24×D4—216no—
453C24×D4—232no—
454C24×D4—2896no—
455C24×D4—216no—
456C24×D4—216no—
457C24×D4—216no—
458C24×D4—216no—
459C24×D4—216no—
460C24×D4—4448no—
461C24×D4—41024no—
462C24×D4—416no—
463C24×D4—416no—
464C24×D4—416no—
465C24×D4—416no—
466C24×D4—416no—
467C24×D4—416no—
468C24×D4—4896no—
469C24×D4—416no—
470C24×D4—416no—
471C24×D4—416no—
472C24×D4—416no—
473C24×D4—416no—
474C24×D4—416no—
475C24×D4—416no—
476C24×D4—416no—
477C24×D4—416no—
478C24×D4—416no—
479C24×D4—416no—
480C24×D4—416no—
481C24×D4—416no—
482C24×D4—416no—
483C24×D4—416no—
484C24×D4—4896no—
485C24×D4—42048no—
486C24×D4C2×D4132yes—
487C24×D4C2×D4164yes—
488C24×D4C24128yes—
489C24×D4C24156yes—
490C24×D4C24128yes—
491C24×D4C241448yes—
492C24×D4C24156yes—
493C24×D4C24156yes—
494C24×D4C24156yes—
495C24×D4C24128yes—
496C24×D4C241896yes—
497C24×D4C24156yes—
498C24×D4C24156yes—
499C24×D4C24156yes—
500C24×D4C24156yes—
501C24×D4C24156yes—
502C24×D4C24156yes—
503C24×D4C24156yes—
504C24×D4C24156yes—
505C25×C4—216no—
506C25×C4—216no—
507C25×C4—216no—
508C25×C4—216no—
509C25×C4—216no—
510C25×C4—216no—
511C25×C4—232no—
512C25×C4—232no—
513C25×C4—216no—
514C25×C4—216no—
515C25×C4—2896no—
516C25×C4—216no—
517C25×C4—232no—
518C25×C4—216no—
519C25×C4—2896no—
520C25×C4—216no—
521C25×C4—216no—
522C25×C4—216no—
523C25×C4—232no—
524C25×C4—4448no—
525C25×C4—48no—
526C25×C4—48no—
527C25×C4—48no—
528C25×C4—416no—
529C25×C4—41024no—
530C25×C4—416no—
531C25×C4—416no—
532C25×C4—416no—
533C25×C4—416no—
534C25×C4—416no—
535C25×C4—416no—
536C25×C4—416no—
537C25×C4C2×D4132yes—
538C25×C4#41132yes—
539C25×C4C24128yes—
540C25×C4C2411yescharacteristic
541C25×C4C2411yescharacteristic
542C25×C4C2411yescharacteristic
543C25×C4C2411yescharacteristic
544C25×C4C2412yes—
545C25×C4C2412yes—
546C25×C4C2412yes—
547C25×C4C2411yescharacteristic
548C25×C4C2411yescharacteristic
549C25×C4C2411yescharacteristic
550C25×C4C2411yescharacteristic
551C25×C4C2412yes—
552C25×C4C2411yescharacteristic
553C25×C4C241448yes—
554C25×C4C24128yes—
555C25×C4C24128yes—
556C25×C4C24128yes—
557C25×C4C24156yes—
558C25×C4C24128yes—
559C25×C4C2411yescharacteristic
560C25×C4C2412yes—
561C25×C4C24128yes—
562C25×C4C2411yescharacteristic
563C25×C4C24156yes—
564C25×C4C24156yes—
565C25×C4C24156yes—
566C25×C4C2411yescharacteristic
567C2×#540—228672no—
568C2×#540C2414096yescomplemented
569C22×#127—2896no—
570C22×#127—4448no—
571C22×#127C241448yescomplemented
572C22×#127C241448yescomplemented
573C22×#125—2896no—
574C22×#125C241448yescomplemented
575C22×#123—21792no—
576C22×#123—21792no—
577C22×#123C241896yescomplemented
578C22×#123C241896yescomplemented
579C22×#121—2896no—
580C22×#121—21792no—
581C22×#121—21792no—
582C22×#121—21792no—
583C22×#121—2896no—
584C22×#121—2896no—
585C22×#121—2896no—
586C22×#121—228672no—
587C22×#121—2896no—
588C22×#121—21792no—
589C22×#121—4896no—
590C22×#121—4896no—
591C22×#121—4448no—
592C22×#121C2×D411792yescomplemented
593C22×#121C241448yes—
594C22×#121C241448yes—
595C22×#121C241448yes—
596C22×#121C241448yes—
597C22×#121C241896yes—
598C22×#121C241896yes—
599C22×#121C241448yes—
600C22×#121C2414096yescomplemented
601C22×#121C241448yescomplemented
602C22×#121C241896yescomplemented
603C22×#121C241896yescomplemented
604C22×#121C241448yescomplemented
605C22×#121C241896yescomplemented
606C22×#121C241896yescomplemented
607C22×#120—4896no—
608C22×#120—4896no—
609C22×#120—4896no—
610C22×#120C241896yes—
611C22×#120C241896yes—
612C22×#120C241896yes—
613C22×C4×D4—2896no—
614C22×C4×D4—2896no—
615C22×C4×D4—4896no—
616C22×C4×D4—4448no—
617C22×C4×D4C241896yes—
618C22×C4×D4C241448yescomplemented
619C22×C4×D4C241448yescomplemented
620C22×C4×D4C241448yescomplemented
621C22×#117—2896no—
622C22×#117—4448no—
623C22×#117C241448yescomplemented
624C22×#117C241448yescomplemented
625C23×C4⋊C4—232no—
626C23×C4⋊C4—216no—
627C23×C4⋊C4—216no—
628C23×C4⋊C4—216no—
629C23×C4⋊C4—216no—
630C23×C4⋊C4—232no—
631C23×C4⋊C4—232no—
632C23×C4⋊C4—216no—
633C23×C4⋊C4—216no—
634C23×C4⋊C4—2896no—
635C23×C4⋊C4—48no—
636C23×C4⋊C4—48no—
637C23×C4⋊C4—416no—
638C23×C4⋊C4—416no—
639C23×C4⋊C4—416no—
640C23×C4⋊C4C2×D4132yes—
641C23×C4⋊C4C241448yes—
642C23×C4⋊C4C24128yes—
643C23×C4⋊C4C24156yes—
644C23×C4⋊C4C24128yes—
645C23×C4⋊C4C24128yes—
646C23×C4⋊C4C24128yes—
647C23×C4⋊C4C24128yes—
648C23×C4⋊C4C24128yes—
649C23×C4⋊C4C24156yes—
650C23×C4⋊C4C24156yes—
651C23×C4⋊C4C24128yes—
652C23×C4⋊C4C24128yes—
653C23×C4⋊C4C24156yes—
654C23×C4⋊C4C24156yes—
655C23×C4⋊C4C24156yes—
656C23×C4⋊C4C24128yes—
657C23×C22⋊C4—232no—
658C23×C22⋊C4—216no—
659C23×C22⋊C4—216no—
660C23×C22⋊C4—232no—
661C23×C22⋊C4—216no—
662C23×C22⋊C4—232no—
663C23×C22⋊C4—216no—
664C23×C22⋊C4—216no—
665C23×C22⋊C4—216no—
666C23×C22⋊C4—216no—
667C23×C22⋊C4—216no—
668C23×C22⋊C4—232no—
669C23×C22⋊C4—232no—
670C23×C22⋊C4—232no—
671C23×C22⋊C4—232no—
672C23×C22⋊C4—232no—
673C23×C22⋊C4—21792no—
674C23×C22⋊C4—4896no—
675C23×C22⋊C4—416no—
676C23×C22⋊C4—416no—
677C23×C22⋊C4—48no—
678C23×C22⋊C4—416no—
679C23×C22⋊C4—48no—
680C23×C22⋊C4—48no—
681C23×C22⋊C4—48no—
682C23×C22⋊C4—416no—
683C23×C22⋊C4—416no—
684C23×C22⋊C4—416no—
685C23×C22⋊C4—416no—
686C23×C22⋊C4—416no—
687C23×C22⋊C4—416no—
688C23×C22⋊C4—416no—
689C23×C22⋊C4—416no—
690C23×C22⋊C4—416no—
691C23×C22⋊C4—416no—
692C23×C22⋊C4—416no—
693C23×C22⋊C4C2×D4164yes—
694C23×C22⋊C4C241896yes—
695C23×C22⋊C4C24128yes—
696C23×C22⋊C4C24156yes—
697C23×C22⋊C4C24156yes—
698C23×C22⋊C4C24156yes—
699C23×C22⋊C4C24156yes—
700C23×C22⋊C4C24128yes—
701C23×C22⋊C4C24128yes—
702C23×C22⋊C4C24128yes—
703C23×C22⋊C4C24156yes—
704C23×C22⋊C4C24156yes—
705C23×C22⋊C4C24128yes—
706C23×C22⋊C4C24128yes—
707C23×C22⋊C4C24156yes—
708C23×C22⋊C4C24128yes—
709C23×C22⋊C4C24128yes—
710C23×C22⋊C4C24156yes—
711C23×C22⋊C4C241896yes—
712C23×C22⋊C4C24156yes—
713C23×C22⋊C4C24156yes—
714C23×C22⋊C4C24128yes—
715C23×C22⋊C4C24128yes—
716C23×C22⋊C4C24156yes—
717C23×C22⋊C4C24156yes—
718C23×C22⋊C4C24156yes—
719C23×C22⋊C4C24156yes—
720C23×C22⋊C4C24156yes—
721C23×C22⋊C4C24156yes—
722C23×C22⋊C4C24156yes—
723C23×C22⋊C4C24156yes—
724C23×C22⋊C4C24156yes—
725C23×C22⋊C4C24156yes—
726C23×C22⋊C4C24156yes—
727C23×C22⋊C4C24128yes—
728C23×C22⋊C4C24128yes—
729C23×C22⋊C4C24156yes—
730C23×C22⋊C4C24156yes—
731C23×C42—216no—
732C23×C42—216no—
733C23×C42—216no—
734C23×C42—216no—
735C23×C42—416no—
736C23×C42C24128yes—
737C23×C42C24128yes—
738C23×C42C24128yes—
739C23×C42C24128yes—
740C23×C42C24156yes—
741#2847C2414096yescomplemented
742#2703C2418192yescomplemented
743#2699C2418192yescomplemented
744#2688C2418192yescomplemented
745#2671C2418192yescomplemented
746#2624C2414096yescomplemented
747#2619C2414096yescomplemented
748#2490C2414096yescomplemented
749#2442C2414096yescomplemented
750#2433C2414096yescomplemented
751#2428C2414096yescomplemented
752#2428C2414096yescomplemented
753#2420C2414096yescomplemented
754#2418C2418192yescomplemented
755#2412C2418192yescomplemented
756#2410C2418192yescomplemented
757#2408C2418192yescomplemented
758C2×#400C241896yescomplemented
759C2×#399C241896yescomplemented
760C2×#398C241896yescomplemented
761C2×#397C241896yescomplemented
762C2×#397C241896yescomplemented
763C2×#397C241896yescomplemented
764C2×#394C241896yescomplemented
765C2×#394C241896yescomplemented
766C2×#394C241896yescomplemented
767C2×#394C241896yescomplemented
768C2×#394C241896yescomplemented
769C2×#394C241896yescomplemented
770C2×#394C241896yescomplemented
771C2×#394C241896yescomplemented
772C2×#392C241896yescomplemented
773C2×#392C241896yescomplemented
774C2×#392C241896yescomplemented
775C2×#392C241896yescomplemented
776C2×#392C241896yescomplemented
777C2×#392C241896yescomplemented
778#2361C2414096yescomplemented
779D4×C22⋊C4C2414096yescomplemented
780#2324C2414096yescomplemented
781C2×#390C241896yescomplemented
782C2×#390C241448yescomplemented
783C2×#390C241448yescomplemented
784C2×#390C241448yescomplemented
785C2×#390C241448yescomplemented
786C2×#390C241448yescomplemented
787C2×#390C241896yescomplemented
788C2×#389C241448yescomplemented
789C2×#389C241448yescomplemented
790C2×#389C241448yescomplemented
791C2×#388C241896yescomplemented
792C2×#388C241896yescomplemented
793C2×#388C241896yescomplemented
794C2×#386C241896yes—
795C2×#386C241896yes—
796C2×#386C241896yescomplemented
797C2×#386C241896yescomplemented
798C2×#386C241896yescomplemented
799C2×#386C241896yescomplemented
800C2×#386C241896yescomplemented
801C2×#386C241896yescomplemented
802C2×#386C241896yescomplemented
803C2×#386C241896yescomplemented
804C2×#385C241896yes—
805C2×#385C241896yescomplemented
806C2×#385C241896yescomplemented
807C2×#382C241448yescomplemented
808#2280C2414096yescomplemented
809C2×#381C241896yescomplemented
810C2×#381C241448yescomplemented
811C2×#381C241448yescomplemented
812C2×#380C241448yes—
813C2×#380C241448yes—
814C2×#380C241448yes—
815C2×#380C241896yes—
816C2×#380C241448yescomplemented
817C2×#380C241448yescomplemented
818C2×#380C241448yescomplemented
819C2×#380C241448yescomplemented
820C2×#379C241896yes—
821C2×#379C241448yes—
822C2×#379C241448yes—
823C2×C4×C4⋊C4C241448yescomplemented
824C2×C4×C22⋊C4C241448yes—
825C2×C4×C22⋊C4C241448yes—
826C2×C4×C22⋊C4C241448yescomplemented
827C2×C4×C22⋊C4C241448yescomplemented
828C22×#95C24128yes—
829C22×#95C24128yes—
830C22×#95C24128yes—
831C22×#95C24128yes—
832C22×#95C24128yes—
833C22×#95C24128yes—
834C22×#95C24128yes—
835C22×#95C24128yes—
836C22×#95C24156yes—
837C22×#95C24156yes—
838C22×#95C24156yes—
839C22×#95C24156yes—
840C22×#95C24156yes—
841C22×#95C24156yes—
842C22×#95C24156yes—
843C22×#95C24156yes—
844C22×#95C24156yes—
845C26—28no—
846C26—28no—
847C26—28no—
848C26—28no—
849C26—2512no—
850C26—2224no—
851C26—28no—
852C26—28no—
853C26—28no—
854C26—216no—
855C26—28no—
856C26—28no—
857C26—216no—
858C26—216no—
859C26—216no—
860C26—2224no—
861C26—2224no—
862C26—28no—
863C26—28no—
864C26—28no—
865C26—216no—
866C26—28no—
867C26—28no—
868C26—216no—
869C26—28no—
870C26—28no—
871C26—216no—
872C26—2448no—
873C26—216no—
874C26—2224no—
875C26—216no—
876C26—216no—
877C26—216no—
878C26—216no—
879C26—216no—
880C26—216no—
881C26—216no—
882C26—216no—
883C26—216no—
884C26—216no—
885C26—2224no—
886C26—216no—
887C26—216no—
888C26—2448no—
889C26—2448no—
890C26—2448no—
891C26—4112no—
892C26—4112no—
893C26—4224no—
894C26—4224no—
895C26—4224no—
896C26—4256no—
897C26—4256no—
898C26—4256no—
899C26—4256no—
900C26—4512no—
901C26—4512no—
902C26—4512no—
903C26—4256no—
904C26—4256no—
905C26—4512no—
906C26—8256no—
907C26—8256no—
908C26—8256no—
909C26C22×D4116yes—
910C26C22×D4132yes—
911C26C2×#41116yes—
912C26H(5,𝔽2)116yes—
913C26H(5,𝔽2)116yes—
914C26H(5,𝔽2)116yes—
915C26C25128yes—
916C26C25128yes—
917C26C25114yes—
918C26C25128yes—
919C26C25114yes—
920C26C251112yes—
921C26C251224yes—
922C26C25114yes—
923C26C2511yescharacteristic
924C23×D4—2448no—
925C23×D4—2448no—
926C23×D4—2448no—
927C23×D4—2448no—
928C23×D4—2448no—
929C23×D4—2448no—
930C23×D4—2448no—
931C23×D4—2448no—
932C23×D4—2448no—
933C23×D4—2448no—
934C23×D4—2448no—
935C23×D4—2448no—
936C23×D4—23584no—
937C23×D4—27168no—
938C23×D4—2512no—
939C23×D4—2448no—
940C23×D4—2224no—
941C23×D4—2224no—
942C23×D4—2224no—
943C23×D4—2448no—
944C23×D4—23584no—
945C23×D4—2224no—
946C23×D4—2224no—
947C23×D4—2224no—
948C23×D4—2224no—
949C23×D4—2224no—
950C23×D4—41792no—
951C23×D4—414336no—
952C23×D4—4512no—
953C23×D4—4224no—
954C23×D4—4224no—
955C23×D4—4224no—
956C23×D4—4224no—
957C23×D4—4224no—
958C23×D4—4224no—
959C23×D4—4224no—
960C23×D4—43584no—
961C23×D4—4512no—
962C23×D4—4512no—
963C23×D4—4224no—
964C23×D4—4224no—
965C23×D4—4224no—
966C23×D4—4224no—
967C23×D4—4224no—
968C23×D4—4224no—
969C23×D4—4224no—
970C23×D4—4224no—
971C23×D4—4224no—
972C23×D4—4224no—
973C23×D4—4224no—
974C23×D4—4224no—
975C23×D4—4224no—
976C23×D4—4224no—
977C23×D4—43584no—
978C23×D4—4512no—
979C23×D4—428672no—
980C23×D4—4512no—
981C23×D4—4512no—
982C23×D4—4256no—
983C23×D4—4256no—
984C23×D4—8256no—
985C23×D4—8256no—
986C23×D4—8256no—
987C23×D4—8256no—
988C23×D4—8256no—
989C23×D4—8256no—
990C23×D4C22×D41448yes—
991C23×D4C22×D41896yes—
992C23×D4C251112yes—
993C23×D4C251224yes—
994C23×D4C251112yes—
995C23×D4C251512yes—
996C23×D4C251224yes—
997C23×D4C251224yes—
998C23×D4C251224yes—
999C23×D4C251112yes—
1000C23×D4C251224yes—
1001C23×D4C2511024yes—
1002C23×D4C251224yes—
1003C23×D4C251224yes—
1004C23×D4C251224yes—
1005C23×D4C251224yes—
1006C23×D4C251224yes—
1007C23×D4C251224yes—
1008C23×D4C251224yes—
1009C24×C4—28no—
1010C24×C4—28no—
1011C24×C4—28no—
1012C24×C4—28no—
1013C24×C4—216no—
1014C24×C4—216no—
1015C24×C4—2512no—
1016C24×C4—2512no—
1017C24×C4—2224no—
1018C24×C4—2224no—
1019C24×C4—2224no—
1020C24×C4—2224no—
1021C24×C4—28no—
1022C24×C4—2224no—
1023C24×C4—28no—
1024C24×C4—28no—
1025C24×C4—216no—
1026C24×C4—216no—
1027C24×C4—28no—
1028C24×C4—28no—
1029C24×C4—2224no—
1030C24×C4—28no—
1031C24×C4—216no—
1032C24×C4—28no—
1033C24×C4—216no—
1034C24×C4—2448no—
1035C24×C4—28no—
1036C24×C4—28no—
1037C24×C4—28no—
1038C24×C4—28no—
1039C24×C4—28no—
1040C24×C4—28no—
1041C24×C4—216no—
1042C24×C4—216no—
1043C24×C4—216no—
1044C24×C4—216no—
1045C24×C4—216no—
1046C24×C4—216no—
1047C24×C4—216no—
1048C24×C4—28no—
1049C24×C4—28no—
1050C24×C4—28no—
1051C24×C4—28no—
1052C24×C4—28no—
1053C24×C4—28no—
1054C24×C4—28no—
1055C24×C4—28no—
1056C24×C4—28no—
1057C24×C4—28no—
1058C24×C4—28no—
1059C24×C4—216no—
1060C24×C4—28no—
1061C24×C4—28no—
1062C24×C4—28no—
1063C24×C4—2448no—
1064C24×C4—2224no—
1065C24×C4—2224no—
1066C24×C4—23584no—
1067C24×C4—2224no—
1068C24×C4—2448no—
1069C24×C4—2224no—
1070C24×C4—23584no—
1071C24×C4—2224no—
1072C24×C4—2224no—
1073C24×C4—2224no—
1074C24×C4—2448no—
1075C24×C4—41792no—
1076C24×C4—4112no—
1077C24×C4—4112no—
1078C24×C4—4112no—
1079C24×C4—4224no—
1080C24×C4—4256no—
1081C24×C4—414336no—
1082C24×C4—4224no—
1083C24×C4—4224no—
1084C24×C4—4224no—
1085C24×C4—4224no—
1086C24×C4—4224no—
1087C24×C4—4224no—
1088C24×C4—4224no—
1089C24×C4—4256no—
1090C24×C4—4256no—
1091C24×C4—4512no—
1092C24×C4—4256no—
1093C24×C4—8256no—
1094C24×C4—8256no—
1095C24×C4—8256no—
1096C24×C4C22×D4116yes—
1097C24×C4C22×D41448yes—
1098C24×C4C22×D4132yes—
1099C24×C4C22×D4116yes—
1100C24×C4C2×#41116yes—
1101C24×C4C2×#411448yes—
1102C24×C4C2×#41116yes—
1103C24×C4H(5,𝔽2)116yes—
1104C24×C4C25114yes—
1105C24×C4C251112yes—
1106C24×C4C25114yes—
1107C24×C4C25114yes—
1108C24×C4C25114yes—
1109C24×C4C25128yes—
1110C24×C4C25128yes—
1111C24×C4C25128yes—
1112C24×C4C25114yes—
1113C24×C4C25114yes—
1114C24×C4C25114yes—
1115C24×C4C25114yes—
1116C24×C4C25128yes—
1117C24×C4C25114yes—
1118C24×C4C251512yes—
1119C24×C4C251112yes—
1120C24×C4C251112yes—
1121C24×C4C251112yes—
1122C24×C4C251224yes—
1123C24×C4C25114yes—
1124C24×C4C251112yes—
1125C24×C4C25128yes—
1126C24×C4C25114yes—
1127C24×C4C251112yes—
1128C24×C4C251224yes—
1129C24×C4C251224yes—
1130C24×C4C251224yes—
1131C24×C4C25114yes—
1132#540—232768no—
1133C2×#127—23584no—
1134C2×#127—41792no—
1135C2×#127C251512yescomplemented
1136C2×#127C251512yescomplemented
1137C2×#125—23584no—
1138C2×#125C251512yescomplemented
1139C2×#123—27168no—
1140C2×#123—27168no—
1141C2×#123C2511024yescomplemented
1142C2×#123C2511024yescomplemented
1143C2×#121—23584no—
1144C2×#121—27168no—
1145C2×#121—27168no—
1146C2×#121—27168no—
1147C2×#121—23584no—
1148C2×#121—23584no—
1149C2×#121—23584no—
1150C2×#121—232768no—
1151C2×#121—23584no—
1152C2×#121—27168no—
1153C2×#121—43584no—
1154C2×#121—43584no—
1155C2×#121—41792no—
1156C2×#121C22×D417168yescomplemented
1157C2×#121C251512yes—
1158C2×#121C251512yes—
1159C2×#121C2511024yes—
1160C2×#121C251512yes—
1161C2×#121C251512yes—
1162C2×#121C2511024yes—
1163C2×#121C251512yes—
1164C2×#121C251512yescomplemented
1165C2×#121C2511024yescomplemented
1166C2×#121C2511024yescomplemented
1167C2×#121C251512yescomplemented
1168C2×#121C2511024yescomplemented
1169C2×#121C2511024yescomplemented
1170C2×#120—43584no—
1171C2×#120—43584no—
1172C2×#120—43584no—
1173C2×#120C2511024yes—
1174C2×#120C2511024yes—
1175C2×#120C2511024yes—
1176C2×C4×D4—23584no—
1177C2×C4×D4—23584no—
1178C2×C4×D4—41792no—
1179C2×C4×D4—43584no—
1180C2×C4×D4C2511024yes—
1181C2×C4×D4C251512yescomplemented
1182C2×C4×D4C251512yescomplemented
1183C2×C4×D4C251512yescomplemented
1184C2×#117—23584no—
1185C2×#117—41792no—
1186C2×#117C251512yescomplemented
1187C2×#117C251512yescomplemented
1188C22×C4⋊C4—2448no—
1189C22×C4⋊C4—2224no—
1190C22×C4⋊C4—2224no—
1191C22×C4⋊C4—2224no—
1192C22×C4⋊C4—2224no—
1193C22×C4⋊C4—2448no—
1194C22×C4⋊C4—2448no—
1195C22×C4⋊C4—2224no—
1196C22×C4⋊C4—2224no—
1197C22×C4⋊C4—23584no—
1198C22×C4⋊C4—4112no—
1199C22×C4⋊C4—4112no—
1200C22×C4⋊C4—4224no—
1201C22×C4⋊C4—4224no—
1202C22×C4⋊C4—4224no—
1203C22×C4⋊C4C22×D41448yes—
1204C22×C4⋊C4C251512yes—
1205C22×C4⋊C4C251224yes—
1206C22×C4⋊C4C251112yes—
1207C22×C4⋊C4C251224yes—
1208C22×C4⋊C4C251224yes—
1209C22×C4⋊C4C251112yes—
1210C22×C4⋊C4C251112yes—
1211C22×C4⋊C4C251112yes—
1212C22×C4⋊C4C251112yes—
1213C22×C4⋊C4C251112yes—
1214C22×C4⋊C4C251224yes—
1215C22×C4⋊C4C251224yes—
1216C22×C4⋊C4C251112yes—
1217C22×C4⋊C4C251112yes—
1218C22×C4⋊C4C251224yes—
1219C22×C4⋊C4C251112yes—
1220C22×C22⋊C4—2448no—
1221C22×C22⋊C4—2224no—
1222C22×C22⋊C4—2224no—
1223C22×C22⋊C4—2448no—
1224C22×C22⋊C4—2224no—
1225C22×C22⋊C4—2448no—
1226C22×C22⋊C4—2224no—
1227C22×C22⋊C4—2224no—
1228C22×C22⋊C4—2224no—
1229C22×C22⋊C4—2224no—
1230C22×C22⋊C4—2224no—
1231C22×C22⋊C4—2448no—
1232C22×C22⋊C4—2448no—
1233C22×C22⋊C4—2448no—
1234C22×C22⋊C4—2448no—
1235C22×C22⋊C4—2448no—
1236C22×C22⋊C4—27168no—
1237C22×C22⋊C4—43584no—
1238C22×C22⋊C4—4224no—
1239C22×C22⋊C4—4224no—
1240C22×C22⋊C4—4224no—
1241C22×C22⋊C4—4112no—
1242C22×C22⋊C4—4112no—
1243C22×C22⋊C4—4112no—
1244C22×C22⋊C4—4112no—
1245C22×C22⋊C4—4224no—
1246C22×C22⋊C4—4224no—
1247C22×C22⋊C4—4224no—
1248C22×C22⋊C4—4224no—
1249C22×C22⋊C4—4224no—
1250C22×C22⋊C4—4224no—
1251C22×C22⋊C4—4224no—
1252C22×C22⋊C4—4224no—
1253C22×C22⋊C4—4224no—
1254C22×C22⋊C4—4224no—
1255C22×C22⋊C4—4224no—
1256C22×C22⋊C4C22×D41896yes—
1257C22×C22⋊C4C251224yes—
1258C22×C22⋊C4C251224yes—
1259C22×C22⋊C4C251224yes—
1260C22×C22⋊C4C251112yes—
1261C22×C22⋊C4C251112yes—
1262C22×C22⋊C4C251112yes—
1263C22×C22⋊C4C251112yes—
1264C22×C22⋊C4C251224yes—
1265C22×C22⋊C4C251224yes—
1266C22×C22⋊C4C251224yes—
1267C22×C22⋊C4C251224yes—
1268C22×C22⋊C4C251112yes—
1269C22×C22⋊C4C251224yes—
1270C22×C22⋊C4C2511024yes—
1271C22×C22⋊C4C251112yes—
1272C22×C22⋊C4C251112yes—
1273C22×C22⋊C4C251112yes—
1274C22×C22⋊C4C2511024yes—
1275C22×C22⋊C4C251224yes—
1276C22×C22⋊C4C251112yes—
1277C22×C22⋊C4C251112yes—
1278C22×C22⋊C4C251112yes—
1279C22×C22⋊C4C251112yes—
1280C22×C22⋊C4C251224yes—
1281C22×C22⋊C4C251224yes—
1282C22×C22⋊C4C251224yes—
1283C22×C22⋊C4C251224yes—
1284C22×C22⋊C4C251224yes—
1285C22×C22⋊C4C251224yes—
1286C22×C22⋊C4C251224yes—
1287C22×C22⋊C4C251224yes—
1288C22×C22⋊C4C251224yes—
1289C22×C22⋊C4C251224yes—
1290C22×C22⋊C4C251224yes—
1291C22×C22⋊C4C251224yes—
1292C22×C22⋊C4C251224yes—
1293C22×C22⋊C4C251224yes—
1294C22×C42—2224no—
1295C22×C42—2224no—
1296C22×C42—2224no—
1297C22×C42—2224no—
1298C22×C42—4224no—
1299C22×C42C251112yes—
1300C22×C42C251112yes—
1301C22×C42C251112yes—
1302C22×C42C251112yes—
1303C22×C42C251224yes—
1304#400C2511024yescomplemented
1305#399C2511024yescomplemented
1306#398C2511024yescomplemented
1307#397C2511024yescomplemented
1308#397C2511024yescomplemented
1309#397C2511024yescomplemented
1310#394C2511024yescomplemented
1311#394C2511024yescomplemented
1312#394C2511024yescomplemented
1313#394C2511024yescomplemented
1314#394C2511024yescomplemented
1315#394C2511024yescomplemented
1316#394C2511024yescomplemented
1317#394C2511024yescomplemented
1318#392C2511024yescomplemented
1319#392C2511024yescomplemented
1320#392C2511024yescomplemented
1321#392C2511024yescomplemented
1322#392C2511024yescomplemented
1323#392C2511024yescomplemented
1324#390C2511024yescomplemented
1325#390C251512yescomplemented
1326#390C251512yescomplemented
1327#390C251512yescomplemented
1328#390C251512yescomplemented
1329#390C251512yescomplemented
1330#390C2511024yescomplemented
1331#389C251512yescomplemented
1332#389C251512yescomplemented
1333#389C251512yescomplemented
1334#388C2511024yescomplemented
1335#388C2511024yescomplemented
1336#388C2511024yescomplemented
1337#386C2511024yes—
1338#386C2511024yes—
1339#386C2511024yescomplemented
1340#386C2511024yescomplemented
1341#386C2511024yescomplemented
1342#386C2511024yescomplemented
1343#386C2511024yescomplemented
1344#386C2511024yescomplemented
1345#386C2511024yescomplemented
1346#386C2511024yescomplemented
1347#385C2511024yes—
1348#385C2511024yescomplemented
1349#385C2511024yescomplemented
1350#382C251512yescomplemented
1351#381C2511024yescomplemented
1352#381C251512yescomplemented
1353#381C251512yescomplemented
1354#380C251512yes—
1355#380C2511024yes—
1356#380C251512yes—
1357#380C251512yes—
1358#380C251512yescomplemented
1359#380C251512yescomplemented
1360#380C251512yescomplemented
1361#380C251512yescomplemented
1362#379C2511024yes—
1363#379C251512yes—
1364#379C251512yes—
1365C4×C4⋊C4C251512yescomplemented
1366C4×C22⋊C4C251512yes—
1367C4×C22⋊C4C251512yes—
1368C4×C22⋊C4C251512yescomplemented
1369C4×C22⋊C4C251512yescomplemented
1370C2×#95C251112yes—
1371C2×#95C251112yes—
1372C2×#95C251224yes—
1373C2×#95C251224yes—
1374C2×#95C251224yes—
1375C2×#95C251224yes—
1376C2×#95C251112yes—
1377C2×#95C251112yes—
1378C2×#95C251224yes—
1379C2×#95C251224yes—
1380C2×#95C251112yes—
1381C2×#95C251112yes—
1382C2×#95C251224yes—
1383C2×#95C251224yes—
1384C2×#95C251224yes—
1385C2×#95C251112yes—
1386C2×#95C251112yes—
1387C25—256no—
1388C25—256no—
1389C25—256no—
1390C25—256no—
1391C25—2128no—
1392C25—2128no—
1393C25—2128no—
1394C25—2128no—
1395C25—2128no—
1396C25—2128no—
1397C25—23584no—
1398C25—2448no—
1399C25—256no—
1400C25—256no—
1401C25—256no—
1402C25—2112no—
1403C25—256no—
1404C25—256no—
1405C25—256no—
1406C25—2112no—
1407C25—2112no—
1408C25—2112no—
1409C25—256no—
1410C25—2112no—
1411C25—2448no—
1412C25—2448no—
1413C25—256no—
1414C25—256no—
1415C25—256no—
1416C25—256no—
1417C25—2112no—
1418C25—256no—
1419C25—2128no—
1420C25—2256no—
1421C25—2128no—
1422C25—2128no—
1423C25—2256no—
1424C25—2256no—
1425C25—2128no—
1426C25—2128no—
1427C25—2128no—
1428C25—2112no—
1429C25—2896no—
1430C25—2112no—
1431C25—2112no—
1432C25—2448no—
1433C25—2112no—
1434C25—2112no—
1435C25—2112no—
1436C25—2112no—
1437C25—2112no—
1438C25—2112no—
1439C25—2112no—
1440C25—2448no—
1441C25—2112no—
1442C25—2112no—
1443C25—2112no—
1444C25—2112no—
1445C25—2896no—
1446C25—2896no—
1447C25—2896no—
1448C25—4224no—
1449C25—4224no—
1450C25—4448no—
1451C25—4448no—
1452C25—4448no—
1453C25—41792no—
1454C25—41792no—
1455C25—41792no—
1456C25—41792no—
1457C25—43584no—
1458C25—43584no—
1459C25—43584no—
1460C25—48192no—
1461C25—41792no—
1462C25—464no—
1463C25—464no—
1464C25—4128no—
1465C25—41792no—
1466C25—464no—
1467C25—464no—
1468C25—464no—
1469C25—4128no—
1470C25—4128no—
1471C25—464no—
1472C25—464no—
1473C25—464no—
1474C25—4128no—
1475C25—4128no—
1476C25—4128no—
1477C25—43584no—
1478C25—4128no—
1479C25—4128no—
1480C25—4128no—
1481C25—4128no—
1482C25—4128no—
1483C25—4128no—
1484C25—4128no—
1485C25—4128no—
1486C25—4128no—
1487C25—4128no—
1488C25—4128no—
1489C25—4128no—
1490C25—81792no—
1491C25—81792no—
1492C25—81792no—
1493C25—88192no—
1494C25#5401256yescomplemented
1495C25C23×D41224yes—
1496C25C23×D41112yes—
1497C25C23×D418yes—
1498C25C22×#411112yes—
1499C25C22×#4118yes—
1500C25C2×H(5,𝔽2)1112yes—
1501C25C2×H(5,𝔽2)1112yes—
1502C25C2×H(5,𝔽2)1112yes—
1503C25C2×H(5,𝔽2)18yes—
1504C25C2×H(5,𝔽2)18yes—
1505C25C2×H(5,𝔽2)18yes—
1506C25C2×H(5,𝔽2)18yes—
1507C25#58518yes—
1508C25C26156yes—
1509C25C26156yes—
1510C25C26128yes—
1511C25C26156yes—
1512C25C26128yes—
1513C25C26164yes—
1514C25C261128yes—
1515C25C26128yes—
1516C25C2617yes—
1517C22×D4—2896no—
1518C22×D4—2896no—
1519C22×D4—2896no—
1520C22×D4—2896no—
1521C22×D4—2896no—
1522C22×D4—2896no—
1523C22×D4—2896no—
1524C22×D4—2896no—
1525C22×D4—2896no—
1526C22×D4—2896no—
1527C22×D4—2896no—
1528C22×D4—2896no—
1529C22×D4—22048no—
1530C22×D4—24096no—
1531C22×D4—2448no—
1532C22×D4—2896no—
1533C22×D4—2448no—
1534C22×D4—2448no—
1535C22×D4—2448no—
1536C22×D4—2896no—
1537C22×D4—22048no—
1538C22×D4—2448no—
1539C22×D4—2448no—
1540C22×D4—2448no—
1541C22×D4—2448no—
1542C22×D4—23584no—
1543C22×D4—41024no—
1544C22×D4—428672no—
1545C22×D4—43584no—
1546C22×D4—4448no—
1547C22×D4—4448no—
1548C22×D4—4448no—
1549C22×D4—4448no—
1550C22×D4—4448no—
1551C22×D4—4448no—
1552C22×D4—4448no—
1553C22×D4—42048no—
1554C22×D4—43584no—
1555C22×D4—43584no—
1556C22×D4—4448no—
1557C22×D4—4448no—
1558C22×D4—4448no—
1559C22×D4—4448no—
1560C22×D4—4448no—
1561C22×D4—4448no—
1562C22×D4—4448no—
1563C22×D4—4448no—
1564C22×D4—4448no—
1565C22×D4—4448no—
1566C22×D4—4448no—
1567C22×D4—4448no—
1568C22×D4—4448no—
1569C22×D4—4448no—
1570C22×D4—42048no—
1571C22×D4—43584no—
1572C22×D4—457344no—
1573C22×D4—43584no—
1574C22×D4—43584no—
1575C22×D4—41792no—
1576C22×D4—41792no—
1577C22×D4—81792no—
1578C22×D4—81792no—
1579C22×D4—81792no—
1580C22×D4—81792no—
1581C22×D4—81792no—
1582C22×D4—81792no—
1583C22×D4C23×D41896yes—
1584C22×D4C23×D411792yes—
1585C22×D4C261128yes—
1586C22×D4C26164yes—
1587C22×D4C26164yes—
1588C22×D4C261128yes—
1589C22×D4C261128yes—
1590C22×D4C261128yes—
1591C22×D4C26164yes—
1592C22×D4C261128yes—
1593C22×D4C261128yes—
1594C22×D4C261128yes—
1595C22×D4C261128yes—
1596C22×D4C261128yes—
1597C22×D4C261128yes—
1598C22×D4C261128yes—
1599C22×D4C261128yes—
1600C23×C4—256no—
1601C23×C4—256no—
1602C23×C4—256no—
1603C23×C4—2112no—
1604C23×C4—256no—
1605C23×C4—2112no—
1606C23×C4—2128no—
1607C23×C4—2128no—
1608C23×C4—2256no—
1609C23×C4—2448no—
1610C23×C4—2448no—
1611C23×C4—2448no—
1612C23×C4—2448no—
1613C23×C4—23584no—
1614C23×C4—23584no—
1615C23×C4—256no—
1616C23×C4—256no—
1617C23×C4—256no—
1618C23×C4—2112no—
1619C23×C4—2112no—
1620C23×C4—256no—
1621C23×C4—256no—
1622C23×C4—2448no—
1623C23×C4—2112no—
1624C23×C4—2448no—
1625C23×C4—256no—
1626C23×C4—256no—
1627C23×C4—256no—
1628C23×C4—256no—
1629C23×C4—256no—
1630C23×C4—2112no—
1631C23×C4—2112no—
1632C23×C4—256no—
1633C23×C4—256no—
1634C23×C4—256no—
1635C23×C4—256no—
1636C23×C4—256no—
1637C23×C4—256no—
1638C23×C4—256no—
1639C23×C4—256no—
1640C23×C4—2112no—
1641C23×C4—256no—
1642C23×C4—2112no—
1643C23×C4—2112no—
1644C23×C4—256no—
1645C23×C4—2112no—
1646C23×C4—2112no—
1647C23×C4—256no—
1648C23×C4—2112no—
1649C23×C4—256no—
1650C23×C4—256no—
1651C23×C4—2896no—
1652C23×C4—256no—
1653C23×C4—256no—
1654C23×C4—2112no—
1655C23×C4—256no—
1656C23×C4—256no—
1657C23×C4—2896no—
1658C23×C4—2448no—
1659C23×C4—2896no—
1660C23×C4—2448no—
1661C23×C4—22048no—
1662C23×C4—2448no—
1663C23×C4—2448no—
1664C23×C4—22048no—
1665C23×C4—2448no—
1666C23×C4—2448no—
1667C23×C4—2448no—
1668C23×C4—2896no—
1669C23×C4—41024no—
1670C23×C4—4224no—
1671C23×C4—4224no—
1672C23×C4—4224no—
1673C23×C4—4448no—
1674C23×C4—41792no—
1675C23×C4—428672no—
1676C23×C4—4448no—
1677C23×C4—4448no—
1678C23×C4—4448no—
1679C23×C4—4448no—
1680C23×C4—4448no—
1681C23×C4—4448no—
1682C23×C4—4448no—
1683C23×C4—41792no—
1684C23×C4—41792no—
1685C23×C4—43584no—
1686C23×C4—4128no—
1687C23×C4—464no—
1688C23×C4—4128no—
1689C23×C4—464no—
1690C23×C4—464no—
1691C23×C4—464no—
1692C23×C4—4128no—
1693C23×C4—464no—
1694C23×C4—464no—
1695C23×C4—4128no—
1696C23×C4—464no—
1697C23×C4—464no—
1698C23×C4—464no—
1699C23×C4—41792no—
1700C23×C4—81792no—
1701C23×C4—81792no—
1702C23×C4—81792no—
1703C23×C4#5461256yes—
1704C23×C4C23×D41112yes—
1705C23×C4C23×D41224yes—
1706C23×C4C23×D41896yes—
1707C23×C4C23×D41112yes—
1708C23×C4C22×#411112yes—
1709C23×C4C22×#411896yes—
1710C23×C4C22×#411112yes—
1711C23×C4C2×H(5,𝔽2)1112yes—
1712C23×C4C26128yes—
1713C23×C4C26128yes—
1714C23×C4C26156yes—
1715C23×C4C26128yes—
1716C23×C4C26128yes—
1717C23×C4C26156yes—
1718C23×C4C26156yes—
1719C23×C4C26128yes—
1720C23×C4C26128yes—
1721C23×C4C26128yes—
1722C23×C4C26128yes—
1723C23×C4C26128yes—
1724C23×C4C26156yes—
1725C23×C4C26164yes—
1726C23×C4C26164yes—
1727C23×C4C261128yes—
1728C23×C4C26164yes—
1729C23×C4C26164yes—
1730C23×C4C26128yes—
1731C23×C4C26156yes—
1732C23×C4C26164yes—
1733C23×C4C26128yes—
1734C23×C4C26164yes—
1735C23×C4C261128yes—
1736C23×C4C261128yes—
1737C23×C4C261128yes—
1738C23×C4C26128yes—
1739#127—22048no—
1740#127—41024no—
1741#125—22048no—
1742#123—24096no—
1743#123—24096no—
1744#121—22048no—
1745#121—24096no—
1746#121—24096no—
1747#121—24096no—
1748#121—22048no—
1749#121—22048no—
1750#121—22048no—
1751#121—22048no—
1752#121—24096no—
1753#121—42048no—
1754#121—42048no—
1755#121—41024no—
1756#121C23×D414096yescomplemented
1757#120—42048no—
1758#120—42048no—
1759#120—42048no—
1760C4×D4—22048no—
1761C4×D4—22048no—
1762C4×D4—41024no—
1763C4×D4—42048no—
1764#117—22048no—
1765#117—41024no—
1766C2×C4⋊C4—2896no—
1767C2×C4⋊C4—2448no—
1768C2×C4⋊C4—2448no—
1769C2×C4⋊C4—2448no—
1770C2×C4⋊C4—2448no—
1771C2×C4⋊C4—2896no—
1772C2×C4⋊C4—2896no—
1773C2×C4⋊C4—2448no—
1774C2×C4⋊C4—2448no—
1775C2×C4⋊C4—22048no—
1776C2×C4⋊C4—4224no—
1777C2×C4⋊C4—4224no—
1778C2×C4⋊C4—4448no—
1779C2×C4⋊C4—4448no—
1780C2×C4⋊C4—4448no—
1781C2×C4⋊C4C23×D41896yes—
1782C2×C4⋊C4C26164yes—
1783C2×C4⋊C4C261128yes—
1784C2×C4⋊C4C26164yes—
1785C2×C4⋊C4C26164yes—
1786C2×C4⋊C4C26164yes—
1787C2×C4⋊C4C26164yes—
1788C2×C4⋊C4C26164yes—
1789C2×C4⋊C4C261128yes—
1790C2×C4⋊C4C261128yes—
1791C2×C4⋊C4C26164yes—
1792C2×C4⋊C4C26164yes—
1793C2×C4⋊C4C261128yes—
1794C2×C4⋊C4C261128yes—
1795C2×C4⋊C4C261128yes—
1796C2×C4⋊C4C26164yes—
1797C2×C22⋊C4—2896no—
1798C2×C22⋊C4—2448no—
1799C2×C22⋊C4—2448no—
1800C2×C22⋊C4—2896no—
1801C2×C22⋊C4—2448no—
1802C2×C22⋊C4—2896no—
1803C2×C22⋊C4—2448no—
1804C2×C22⋊C4—2448no—
1805C2×C22⋊C4—2448no—
1806C2×C22⋊C4—2448no—
1807C2×C22⋊C4—2448no—
1808C2×C22⋊C4—2896no—
1809C2×C22⋊C4—2896no—
1810C2×C22⋊C4—2896no—
1811C2×C22⋊C4—2896no—
1812C2×C22⋊C4—2896no—
1813C2×C22⋊C4—24096no—
1814C2×C22⋊C4—42048no—
1815C2×C22⋊C4—4448no—
1816C2×C22⋊C4—4448no—
1817C2×C22⋊C4—4448no—
1818C2×C22⋊C4—4224no—
1819C2×C22⋊C4—4224no—
1820C2×C22⋊C4—4224no—
1821C2×C22⋊C4—4224no—
1822C2×C22⋊C4—4448no—
1823C2×C22⋊C4—4448no—
1824C2×C22⋊C4—4448no—
1825C2×C22⋊C4—4448no—
1826C2×C22⋊C4—4448no—
1827C2×C22⋊C4—4448no—
1828C2×C22⋊C4—4448no—
1829C2×C22⋊C4—4448no—
1830C2×C22⋊C4—4448no—
1831C2×C22⋊C4—4448no—
1832C2×C22⋊C4—4448no—
1833C2×C22⋊C4C23×D411792yes—
1834C2×C22⋊C4C26164yes—
1835C2×C22⋊C4C261128yes—
1836C2×C22⋊C4C261128yes—
1837C2×C22⋊C4C261128yes—
1838C2×C22⋊C4C261128yes—
1839C2×C22⋊C4C26164yes—
1840C2×C22⋊C4C26164yes—
1841C2×C22⋊C4C26164yes—
1842C2×C22⋊C4C261128yes—
1843C2×C22⋊C4C261128yes—
1844C2×C22⋊C4C26164yes—
1845C2×C22⋊C4C26164yes—
1846C2×C22⋊C4C261128yes—
1847C2×C22⋊C4C26164yes—
1848C2×C22⋊C4C26164yes—
1849C2×C22⋊C4C261128yes—
1850C2×C22⋊C4C261128yes—
1851C2×C22⋊C4C261128yes—
1852C2×C22⋊C4C26164yes—
1853C2×C22⋊C4C26164yes—
1854C2×C22⋊C4C261128yes—
1855C2×C22⋊C4C261128yes—
1856C2×C22⋊C4C261128yes—
1857C2×C22⋊C4C261128yes—
1858C2×C22⋊C4C261128yes—
1859C2×C22⋊C4C261128yes—
1860C2×C22⋊C4C261128yes—
1861C2×C22⋊C4C261128yes—
1862C2×C22⋊C4C261128yes—
1863C2×C22⋊C4C261128yes—
1864C2×C22⋊C4C261128yes—
1865C2×C22⋊C4C26164yes—
1866C2×C22⋊C4C26164yes—
1867C2×C22⋊C4C261128yes—
1868C2×C22⋊C4C261128yes—
1869C2×C42—2448no—
1870C2×C42—2448no—
1871C2×C42—2448no—
1872C2×C42—2448no—
1873C2×C42—4448no—
1874C2×C42C26164yes—
1875C2×C42C26164yes—
1876C2×C42C26164yes—
1877C2×C42C26164yes—
1878C2×C42C261128yes—
1879#95C26164yes—
1880#95C26164yes—
1881#95C26164yes—
1882#95C26164yes—
1883#95C26164yes—
1884#95C26164yes—
1885#95C26164yes—
1886#95C26164yes—
1887#95C261128yes—
1888#95C261128yes—
1889#95C261128yes—
1890#95C261128yes—
1891#95C261128yes—
1892#95C261128yes—
1893#95C261128yes—
1894#95C261128yes—
1895#95C261128yes—
1896C24—2448no—
1897C24—22048no—
1898C24—2448no—
1899C24—2448no—
1900C24—2448no—
1901C24—256no—
1902C24—256no—
1903C24—256no—
1904C24—256no—
1905C24—2448no—
1906C24—2448no—
1907C24—23584no—
1908C24—2448no—
1909C24—2448no—
1910C24—2448no—
1911C24—2896no—
1912C24—2896no—
1913C24—2448no—
1914C24—2448no—
1915C24—2128no—
1916C24—256no—
1917C24—256no—
1918C24—256no—
1919C24—2112no—
1920C24—256no—
1921C24—256no—
1922C24—256no—
1923C24—2112no—
1924C24—2112no—
1925C24—2112no—
1926C24—256no—
1927C24—2112no—
1928C24—2128no—
1929C24—2128no—
1930C24—256no—
1931C24—256no—
1932C24—256no—
1933C24—256no—
1934C24—2112no—
1935C24—256no—
1936C24—2448no—
1937C24—2896no—
1938C24—2112no—
1939C24—2256no—
1940C24—2112no—
1941C24—2112no—
1942C24—2128no—
1943C24—2112no—
1944C24—2112no—
1945C24—2112no—
1946C24—2112no—
1947C24—2112no—
1948C24—2112no—
1949C24—2112no—
1950C24—2128no—
1951C24—2112no—
1952C24—2112no—
1953C24—2112no—
1954C24—2112no—
1955C24—2256no—
1956C24—2256no—
1957C24—2256no—
1958C24—464no—
1959C24—464no—
1960C24—4128no—
1961C24—4128no—
1962C24—4128no—
1963C24—41792no—
1964C24—41792no—
1965C24—41792no—
1966C24—41792no—
1967C24—43584no—
1968C24—43584no—
1969C24—43584no—
1970C24—41792no—
1971C24—428672no—
1972C24—4448no—
1973C24—4224no—
1974C24—41024no—
1975C24—41024no—
1976C24—42048no—
1977C24—4224no—
1978C24—4224no—
1979C24—4448no—
1980C24—4224no—
1981C24—4224no—
1982C24—4448no—
1983C24—41792no—
1984C24—4224no—
1985C24—4224no—
1986C24—4224no—
1987C24—4448no—
1988C24—4448no—
1989C24—4448no—
1990C24—4448no—
1991C24—4448no—
1992C24—4448no—
1993C24—4448no—
1994C24—4448no—
1995C24—4448no—
1996C24—4448no—
1997C24—4448no—
1998C24—43584no—
1999C24—4448no—
2000C24—4448no—
2001C24—4448no—
2002C24—4448no—
2003C24—81792no—
2004C24—81792no—
2005C24—81792no—
2006C24—828672no—
2007C24—81024no—
2008C24—81024no—
2009C24C2×#540164yes—
2010C24C2×#5401896yescomplemented
2011C24C2×#546164yes—
2012C24#3484164yes—
2013C24#3488164yes—
2014C24#3494164yes—
2015C24#3537164yes—
2016C24#3542164yes—
2017C24C24×D41224yes—
2018C24C24×D41112yes—
2019C24C24×D4128yes—
2020C24C23×#411112yes—
2021C24C23×#41128yes—
2022C24C22×H(5,𝔽2)1112yes—
2023C24C22×H(5,𝔽2)1112yes—
2024C24C22×H(5,𝔽2)1112yes—
2025C24C22×H(5,𝔽2)128yes—
2026C24C22×H(5,𝔽2)128yes—
2027C24C22×H(5,𝔽2)128yes—
2028C24C22×H(5,𝔽2)128yes—
2029C24C2×#585128yes—
2030C24C27116yes—
2031C24C27116yes—
2032C24C2718yes—
2033C24C27116yes—
2034C24C2718yes—
2035C24C2718yes—
2036C24C2717yes—
2037C2×D4—2256no—
2038C2×D4—2256no—
2039C2×D4—2256no—
2040C2×D4—2256no—
2041C2×D4—2256no—
2042C2×D4—2256no—
2043C2×D4—2256no—
2044C2×D4—2256no—
2045C2×D4—2256no—
2046C2×D4—2256no—
2047C2×D4—2256no—
2048C2×D4—2256no—
2049C2×D4—2128no—
2050C2×D4—2256no—
2051C2×D4—2128no—
2052C2×D4—2128no—
2053C2×D4—2128no—
2054C2×D4—2256no—
2055C2×D4—2128no—
2056C2×D4—2128no—
2057C2×D4—2128no—
2058C2×D4—2128no—
2059C2×D4—23584no—
2060C2×D4—48192no—
2061C2×D4—43584no—
2062C2×D4—4128no—
2063C2×D4—4128no—
2064C2×D4—4128no—
2065C2×D4—4128no—
2066C2×D4—4128no—
2067C2×D4—4128no—
2068C2×D4—4128no—
2069C2×D4—43584no—
2070C2×D4—43584no—
2071C2×D4—4128no—
2072C2×D4—4128no—
2073C2×D4—4128no—
2074C2×D4—4128no—
2075C2×D4—4128no—
2076C2×D4—4128no—
2077C2×D4—4128no—
2078C2×D4—4128no—
2079C2×D4—4128no—
2080C2×D4—4128no—
2081C2×D4—4128no—
2082C2×D4—4128no—
2083C2×D4—4128no—
2084C2×D4—4128no—
2085C2×D4—43584no—
2086C2×D4—416384no—
2087C2×D4—43584no—
2088C2×D4—43584no—
2089C2×D4—41792no—
2090C2×D4—41792no—
2091C2×D4—81792no—
2092C2×D4—81792no—
2093C2×D4—81792no—
2094C2×D4—81792no—
2095C2×D4—81792no—
2096C2×D4—81792no—
2097C2×D4C24×D41256yes—
2098C2×D4C24×D41512yes—
2099C22×C4—2896no—
2100C22×C4—256no—
2101C22×C4—256no—
2102C22×C4—2112no—
2103C22×C4—256no—
2104C22×C4—2112no—
2105C22×C4—256no—
2106C22×C4—2448no—
2107C22×C4—2448no—
2108C22×C4—2128no—
2109C22×C4—2128no—
2110C22×C4—2128no—
2111C22×C4—2128no—
2112C22×C4—23584no—
2113C22×C4—23584no—
2114C22×C4—256no—
2115C22×C4—256no—
2116C22×C4—256no—
2117C22×C4—256no—
2118C22×C4—256no—
2119C22×C4—2112no—
2120C22×C4—2112no—
2121C22×C4—2128no—
2122C22×C4—2112no—
2123C22×C4—2128no—
2124C22×C4—256no—
2125C22×C4—256no—
2126C22×C4—256no—
2127C22×C4—256no—
2128C22×C4—256no—
2129C22×C4—256no—
2130C22×C4—2112no—
2131C22×C4—256no—
2132C22×C4—256no—
2133C22×C4—256no—
2134C22×C4—256no—
2135C22×C4—2112no—
2136C22×C4—2112no—
2137C22×C4—256no—
2138C22×C4—256no—
2139C22×C4—256no—
2140C22×C4—256no—
2141C22×C4—256no—
2142C22×C4—256no—
2143C22×C4—256no—
2144C22×C4—2112no—
2145C22×C4—2112no—
2146C22×C4—256no—
2147C22×C4—2112no—
2148C22×C4—2112no—
2149C22×C4—2112no—
2150C22×C4—2256no—
2151C22×C4—256no—
2152C22×C4—256no—
2153C22×C4—2112no—
2154C22×C4—256no—
2155C22×C4—256no—
2156C22×C4—2256no—
2157C22×C4—2128no—
2158C22×C4—2256no—
2159C22×C4—2128no—
2160C22×C4—2128no—
2161C22×C4—2128no—
2162C22×C4—2128no—
2163C22×C4—2128no—
2164C22×C4—2128no—
2165C22×C4—2256no—
2166C22×C4—464no—
2167C22×C4—464no—
2168C22×C4—464no—
2169C22×C4—4128no—
2170C22×C4—41792no—
2171C22×C4—48192no—
2172C22×C4—4128no—
2173C22×C4—4128no—
2174C22×C4—4128no—
2175C22×C4—4128no—
2176C22×C4—4128no—
2177C22×C4—4128no—
2178C22×C4—4128no—
2179C22×C4—41792no—
2180C22×C4—41792no—
2181C22×C4—43584no—
2182C22×C4—4224no—
2183C22×C4—4448no—
2184C22×C4—4224no—
2185C22×C4—4448no—
2186C22×C4—4224no—
2187C22×C4—4224no—
2188C22×C4—4224no—
2189C22×C4—4448no—
2190C22×C4—4224no—
2191C22×C4—4448no—
2192C22×C4—4224no—
2193C22×C4—4224no—
2194C22×C4—4224no—
2195C22×C4—41792no—
2196C22×C4—81792no—
2197C22×C4—81792no—
2198C22×C4—81792no—
2199C22×C4C2×#5461896yes—
2200C22×C4C24×D41112yes—
2201C22×C4C24×D41224yes—
2202C22×C4C24×D41256yes—
2203C22×C4C24×D41112yes—
2204C22×C4C23×#411112yes—
2205C22×C4C23×#411256yes—
2206C22×C4C23×#411112yes—
2207C22×C4C22×H(5,𝔽2)1112yes—
2208C22×C4C2718yes—
2209C22×C4C2718yes—
2210C22×C4C27116yes—
2211C22×C4C2718yes—
2212C22×C4C2718yes—
2213C22×C4C2718yes—
2214C22×C4C2718yes—
2215C22×C4C27116yes—
2216C22×C4C27116yes—
2217C22×C4C27116yes—
2218C22×C4C2718yes—
2219C22×C4C2718yes—
2220C22×C4C2718yes—
2221C22×C4C27116yes—
2222C22×C4C2718yes—
2223C22×C4C2718yes—
2224C22×C4C2718yes—
2225C4⋊C4—2256no—
2226C4⋊C4—2128no—
2227C4⋊C4—2128no—
2228C4⋊C4—2128no—
2229C4⋊C4—2128no—
2230C4⋊C4—2256no—
2231C4⋊C4—2256no—
2232C4⋊C4—2128no—
2233C4⋊C4—2128no—
2234C4⋊C4—464no—
2235C4⋊C4—464no—
2236C4⋊C4—4128no—
2237C4⋊C4—4128no—
2238C4⋊C4—4128no—
2239C4⋊C4C24×D41256yes—
2240C22⋊C4—2256no—
2241C22⋊C4—2128no—
2242C22⋊C4—2128no—
2243C22⋊C4—2256no—
2244C22⋊C4—2128no—
2245C22⋊C4—2256no—
2246C22⋊C4—2128no—
2247C22⋊C4—2128no—
2248C22⋊C4—2128no—
2249C22⋊C4—2128no—
2250C22⋊C4—2128no—
2251C22⋊C4—2256no—
2252C22⋊C4—2256no—
2253C22⋊C4—2256no—
2254C22⋊C4—2256no—
2255C22⋊C4—2256no—
2256C22⋊C4—4128no—
2257C22⋊C4—4128no—
2258C22⋊C4—4128no—
2259C22⋊C4—464no—
2260C22⋊C4—464no—
2261C22⋊C4—464no—
2262C22⋊C4—464no—
2263C22⋊C4—4128no—
2264C22⋊C4—4128no—
2265C22⋊C4—4128no—
2266C22⋊C4—4128no—
2267C22⋊C4—4128no—
2268C22⋊C4—4128no—
2269C22⋊C4—4128no—
2270C22⋊C4—4128no—
2271C22⋊C4—4128no—
2272C22⋊C4—4128no—
2273C22⋊C4—4128no—
2274C22⋊C4C24×D41512yes—
2275C42—2128no—
2276C42—2128no—
2277C42—2128no—
2278C42—2128no—
2279C42—4128no—
2280C23—2224no—
2281C23—2224no—
2282C23—23584no—
2283C23—2224no—
2284C23—2224no—
2285C23—2224no—
2286C23—2224no—
2287C23—28no—
2288C23—28no—
2289C23—28no—
2290C23—28no—
2291C23—2512no—
2292C23—2224no—
2293C23—2224no—
2294C23—2448no—
2295C23—2224no—
2296C23—2224no—
2297C23—2448no—
2298C23—2448no—
2299C23—2224no—
2300C23—2224no—
2301C23—28no—
2302C23—28no—
2303C23—28no—
2304C23—216no—
2305C23—28no—
2306C23—28no—
2307C23—28no—
2308C23—216no—
2309C23—216no—
2310C23—216no—
2311C23—28no—
2312C23—216no—
2313C23—28no—
2314C23—28no—
2315C23—28no—
2316C23—28no—
2317C23—216no—
2318C23—28no—
2319C23—216no—
2320C23—216no—
2321C23—216no—
2322C23—216no—
2323C23—216no—
2324C23—216no—
2325C23—216no—
2326C23—216no—
2327C23—216no—
2328C23—216no—
2329C23—216no—
2330C23—216no—
2331C23—216no—
2332C23—216no—
2333C23—4256no—
2334C23—4256no—
2335C23—4256no—
2336C23—4256no—
2337C23—4512no—
2338C23—4512no—
2339C23—4512no—
2340C23—414336no—
2341C23—4256no—
2342C23—4112no—
2343C23—4112no—
2344C23—4224no—
2345C23—4224no—
2346C23—4112no—
2347C23—4112no—
2348C23—4112no—
2349C23—4224no—
2350C23—4256no—
2351C23—41792no—
2352C23—41792no—
2353C23—43584no—
2354C23—4112no—
2355C23—4112no—
2356C23—4112no—
2357C23—4224no—
2358C23—4224no—
2359C23—4224no—
2360C23—4224no—
2361C23—4224no—
2362C23—4224no—
2363C23—4224no—
2364C23—4512no—
2365C23—4224no—
2366C23—4224no—
2367C23—4224no—
2368C23—4224no—
2369C23—4224no—
2370C23—4224no—
2371C23—4224no—
2372C23—4224no—
2373C23—8256no—
2374C23—8256no—
2375C23—8256no—
2376C23—814336no—
2377C23—81792no—
2378C23—81792no—
2379C23#376621512yesdirect product factor
2380C23C22×#5401112yes—
2381C23C22×#5401448yescomplemented
2382C23C22×#5461112yes—
2383C23C2×#35421112yes—
2384C23C2×#35371112yes—
2385C23C2×#34841112yes—
2386C23C2×#34881112yes—
2387C23C2×#34941112yes—
2388C23C25×D4132yes—
2389C23C25×D4116yes—
2390C23C25×D4114yes—
2391C23C24×#41116yes—
2392C23C24×#41114yes—
2393C23C23×H(5,𝔽2)116yes—
2394C23C23×H(5,𝔽2)116yes—
2395C23C23×H(5,𝔽2)116yes—
2396C23C23×H(5,𝔽2)114yes—
2397C23C23×H(5,𝔽2)114yes—
2398C23C23×H(5,𝔽2)114yes—
2399C23C23×H(5,𝔽2)114yes—
2400C23C22×#585114yes—
2401C23C2811yescharacteristic
2402D4—2512no—
2403D4—4512no—
2404D4—4512no—
2405D4—4512no—
2406D4—4512no—
2407D4—4512no—
2408D4—4512no—
2409D4—4256no—
2410D4—4256no—
2411D4—8256no—
2412D4—8256no—
2413D4—8256no—
2414D4—8256no—
2415D4—8256no—
2416D4—8256no—
2417C2×C4—2224no—
2418C2×C4—2224no—
2419C2×C4—2448no—
2420C2×C4—28no—
2421C2×C4—28no—
2422C2×C4—216no—
2423C2×C4—28no—
2424C2×C4—216no—
2425C2×C4—28no—
2426C2×C4—2512no—
2427C2×C4—2512no—
2428C2×C4—28no—
2429C2×C4—28no—
2430C2×C4—28no—
2431C2×C4—28no—
2432C2×C4—28no—
2433C2×C4—216no—
2434C2×C4—216no—
2435C2×C4—216no—
2436C2×C4—28no—
2437C2×C4—28no—
2438C2×C4—28no—
2439C2×C4—28no—
2440C2×C4—28no—
2441C2×C4—28no—
2442C2×C4—216no—
2443C2×C4—28no—
2444C2×C4—28no—
2445C2×C4—28no—
2446C2×C4—28no—
2447C2×C4—216no—
2448C2×C4—216no—
2449C2×C4—28no—
2450C2×C4—28no—
2451C2×C4—28no—
2452C2×C4—28no—
2453C2×C4—28no—
2454C2×C4—28no—
2455C2×C4—28no—
2456C2×C4—216no—
2457C2×C4—216no—
2458C2×C4—28no—
2459C2×C4—216no—
2460C2×C4—216no—
2461C2×C4—216no—
2462C2×C4—28no—
2463C2×C4—28no—
2464C2×C4—216no—
2465C2×C4—28no—
2466C2×C4—28no—
2467C2×C4—4256no—
2468C2×C4—4256no—
2469C2×C4—4256no—
2470C2×C4—4512no—
2471C2×C4—4112no—
2472C2×C4—4112no—
2473C2×C4—4112no—
2474C2×C4—4224no—
2475C2×C4—4112no—
2476C2×C4—4224no—
2477C2×C4—4112no—
2478C2×C4—4224no—
2479C2×C4—4112no—
2480C2×C4—4112no—
2481C2×C4—4112no—
2482C2×C4—4224no—
2483C2×C4—4112no—
2484C2×C4—4256no—
2485C2×C4—8256no—
2486C2×C4—8256no—
2487C2×C4—8256no—
2488C2×C4C22×#5461448yes—
2489C2×C4C25×D4116yes—
2490C2×C4C25×D4132yes—
2491C2×C4C25×D4116yes—
2492C2×C4C24×#41116yes—
2493C2×C4C24×#41116yes—
2494C2×C4C23×H(5,𝔽2)116yes—
2495C22—2896no—
2496C22—216no—
2497C22—216no—
2498C22—216no—
2499C22—216no—
2500C22—216no—
2501C22—216no—
2502C22—216no—
2503C22—216no—
2504C22—232no—
2505C22—216no—
2506C22—232no—
2507C22—216no—
2508C22—216no—
2509C22—232no—
2510C22—216no—
2511C22—41024no—
2512C22—4448no—
2513C22—4448no—
2514C22—4896no—
2515C22—48no—
2516C22—48no—
2517C22—416no—
2518C22—48no—
2519C22—416no—
2520C22—48no—
2521C22—48no—
2522C22—416no—
2523C22—48no—
2524C22—48no—
2525C22—416no—
2526C22—48no—
2527C22—416no—
2528C22—416no—
2529C22—416no—
2530C22—416no—
2531C22—416no—
2532C22—416no—
2533C22—416no—
2534C22—416no—
2535C22—416no—
2536C22—416no—
2537C22—416no—
2538C22—416no—
2539C22—416no—
2540C22—416no—
2541C22—81024no—
2542C22—8448no—
2543C22—8448no—
2544C22C2×#376621448yesdirect product factor
2545C22C23×#540128yes—
2546C22C23×#540132yescomplemented
2547C22C23×#546128yes—
2548C22C22×#3484128yes—
2549C22C22×#3488128yes—
2550C22C22×#3494128yes—
2551C22C22×#3542128yes—
2552C22C22×#3537128yes—
2553C22C26×D411yescharacteristic
2554C22C25×#4111yescharacteristic
2555C22C24×H(5,𝔽2)11yescharacteristic
2556C22C24×H(5,𝔽2)11yescharacteristic
2557C22C24×H(5,𝔽2)11yescharacteristic
2558C22C24×H(5,𝔽2)11yescharacteristic
2559C22C23×#58511yescharacteristic
2560C4—232no—
2561C4—216no—
2562C4—216no—
2563C4—416no—
2564C4—48no—
2565C4—48no—
2566C4—416no—
2567C4—48no—
2568C4—48no—
2569C4—48no—
2570C4—416no—
2571C4—48no—
2572C4—48no—
2573C4—48no—
2574C4—416no—
2575C4—48no—
2576C4C23×#546132yes—
2577C2—232no—
2578C2—416no—
2579C2—416no—
2580C2—432no—
2581C2—816no—
2582C2—816no—
2583C2C23×#348411yescharacteristic
2584C2C23×#353711yescharacteristic
2585C2C23×#348811yescharacteristic
2586C2C24×#54611yescharacteristic
2587C2C23×#354211yescharacteristic
2588C2C24×#54011yescharacteristic
2589C2C22×#37662156yesdirect product factor
2590C2C23×#349411yescharacteristic
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×#2442C2semidirect
2. C23×#2490C2semidirect
3. C23×#2624C2semidirect
4. C23×#2699C2semidirect
5. C22×#37662C2direct (N × H)
6. C23×#2703C2semidirect
7. C24×#540C2semidirect
8. C23×#2420C2semidirect
9. C23×#2688C2semidirect
10. C23×#2280C2semidirect
11. C23×#2361C2semidirect
12. C23×#2324C2semidirect
13. C23×#2412C2semidirect
14. C23×#2418C2semidirect
15. C23×#2671C2semidirect
16. C23×#2619C2semidirect
17. C23×#2428C2semidirect
18. C23×#2428C2semidirect
19. C25×#121C2semidirect
20. C23×D4×C22⋊C4C2semidirect
21. C23×#2847C2semidirect
22. C23×#2433C2semidirect
23. C23×#2410C2semidirect
24. C23×#2408C2semidirect
29. C23×#540C22semidirect
30. C24×#127C22semidirect
31. C24×#127C22semidirect
32. C24×#125C22semidirect
33. C24×#123C22semidirect
34. C24×#123C22semidirect
43. C24×#121C22semidirect
44. C24×#121C22semidirect
45. C24×#121C22semidirect
46. C24×#121C22semidirect
47. C24×#121C22semidirect
48. C24×#121C22semidirect
49. C24×#121C22semidirect
54. C24×C4×D4C22semidirect
55. C24×C4×D4C22semidirect
56. C24×C4×D4C22semidirect
57. C24×#117C22semidirect
58. C24×#117C22semidirect
62. C2×#37662C22direct (N × H)
63. C22×#2699C22semidirect
64. C22×#2703C22semidirect
65. C22×#2688C22semidirect
66. C22×#2671C22semidirect
67. C22×#2847C22semidirect
68. C22×#2490C22semidirect
69. C22×#2420C22semidirect
70. C22×#2442C22semidirect
71. C22×#2428C22semidirect
72. C22×#2428C22semidirect
73. C22×#2433C22semidirect
74. C22×#2408C22semidirect
75. C22×#2412C22semidirect
76. C22×#2418C22semidirect
77. C22×#2410C22semidirect
78. C22×#2624C22semidirect
79. C22×#2619C22semidirect
80. C23×#400C22semidirect
81. C23×#399C22semidirect
82. C23×#398C22semidirect
83. C23×#397C22semidirect
84. C23×#397C22semidirect
85. C23×#397C22semidirect
86. C23×#394C22semidirect
87. C23×#394C22semidirect
88. C23×#394C22semidirect
89. C23×#394C22semidirect
90. C23×#394C22semidirect
91. C23×#394C22semidirect
92. C23×#394C22semidirect
93. C23×#394C22semidirect
94. C23×#392C22semidirect
95. C23×#392C22semidirect
96. C23×#392C22semidirect
97. C23×#392C22semidirect
98. C23×#392C22semidirect
99. C23×#392C22semidirect
100. C22×#2361C22semidirect
101. C22×D4×C22⋊C4C22semidirect
102. C22×#2324C22semidirect
103. C23×#390C22semidirect
104. C23×#390C22semidirect
105. C23×#390C22semidirect
106. C23×#390C22semidirect
107. C23×#390C22semidirect
108. C23×#390C22semidirect
109. C23×#390C22semidirect
110. C23×#389C22semidirect
111. C23×#389C22semidirect
112. C23×#389C22semidirect
113. C23×#388C22semidirect
114. C23×#388C22semidirect
115. C23×#388C22semidirect
118. C23×#386C22semidirect
119. C23×#386C22semidirect
120. C23×#386C22semidirect
121. C23×#386C22semidirect
122. C23×#386C22semidirect
123. C23×#386C22semidirect
124. C23×#386C22semidirect
125. C23×#386C22semidirect
127. C23×#385C22semidirect
128. C23×#385C22semidirect
129. C23×#382C22semidirect
130. C22×#2280C22semidirect
131. C23×#381C22semidirect
132. C23×#381C22semidirect
133. C23×#381C22semidirect
138. C23×#380C22semidirect
139. C23×#380C22semidirect
140. C23×#380C22semidirect
141. C23×#380C22semidirect
145. C23×C4×C4⋊C4C22semidirect
148. C23×C4×C22⋊C4C22semidirect
149. C23×C4×C22⋊C4C22semidirect
190. C22×#540C23semidirect
193. C23×#127C23semidirect
194. C23×#127C23semidirect
196. C23×#125C23semidirect
199. C23×#123C23semidirect
200. C23×#123C23semidirect
214. C23×#121D4semidirect
222. C23×#121C23semidirect
223. C23×#121C23semidirect
224. C23×#121C23semidirect
225. C23×#121C23semidirect
226. C23×#121C23semidirect
227. C23×#121C23semidirect
228. C23×#121C23semidirect
240. C23×C4×D4C23semidirect
241. C23×C4×D4C23semidirect
242. C23×C4×D4C23semidirect
245. C23×#117C23semidirect
246. C23×#117C23semidirect
308. C2×#2703C23semidirect
309. C2×#2699C23semidirect
310. C2×#2688C23semidirect
311. C2×#2671C23semidirect
312. #37662C23direct (N × H)
313. C2×#2847C23semidirect
314. C2×#2490C23semidirect
315. C2×#2420C23semidirect
316. C2×#2442C23semidirect
317. C2×#2428C23semidirect
318. C2×#2428C23semidirect
319. C2×#2433C23semidirect
320. C2×#2408C23semidirect
321. C2×#2412C23semidirect
322. C2×#2418C23semidirect
323. C2×#2410C23semidirect
324. C2×#2624C23semidirect
325. C2×#2619C23semidirect
326. C22×#400C23semidirect
327. C22×#399C23semidirect
328. C22×#398C23semidirect
329. C22×#397C23semidirect
330. C22×#397C23semidirect
331. C22×#397C23semidirect
332. C22×#394C23semidirect
333. C22×#394C23semidirect
334. C22×#394C23semidirect
335. C22×#394C23semidirect
336. C22×#394C23semidirect
337. C22×#394C23semidirect
338. C22×#394C23semidirect
339. C22×#394C23semidirect
340. C22×#392C23semidirect
341. C22×#392C23semidirect
342. C22×#392C23semidirect
343. C22×#392C23semidirect
344. C22×#392C23semidirect
345. C22×#392C23semidirect
346. C2×#2361C23semidirect
347. C2×D4×C22⋊C4C23semidirect
348. C2×#2324C23semidirect
349. C22×#390C23semidirect
350. C22×#390C23semidirect
351. C22×#390C23semidirect
352. C22×#390C23semidirect
353. C22×#390C23semidirect
354. C22×#390C23semidirect
355. C22×#390C23semidirect
356. C22×#389C23semidirect
357. C22×#389C23semidirect
358. C22×#389C23semidirect
359. C22×#388C23semidirect
360. C22×#388C23semidirect
361. C22×#388C23semidirect
364. C22×#386C23semidirect
365. C22×#386C23semidirect
366. C22×#386C23semidirect
367. C22×#386C23semidirect
368. C22×#386C23semidirect
369. C22×#386C23semidirect
370. C22×#386C23semidirect
371. C22×#386C23semidirect
373. C22×#385C23semidirect
374. C22×#385C23semidirect
375. C22×#382C23semidirect
376. C2×#2280C23semidirect
377. C22×#381C23semidirect
378. C22×#381C23semidirect
379. C22×#381C23semidirect
384. C22×#380C23semidirect
385. C22×#380C23semidirect
386. C22×#380C23semidirect
387. C22×#380C23semidirect
391. C22×C4×C4⋊C4C23semidirect
394. C22×C4×C22⋊C4C23semidirect
395. C22×C4×C22⋊C4C23semidirect
568. C2×#540C24semidirect
571. C22×#127C24semidirect
572. C22×#127C24semidirect
574. C22×#125C24semidirect
577. C22×#123C24semidirect
578. C22×#123C24semidirect
592. C22×#121C2×D4semidirect
600. C22×#121C24semidirect
601. C22×#121C24semidirect
602. C22×#121C24semidirect
603. C22×#121C24semidirect
604. C22×#121C24semidirect
605. C22×#121C24semidirect
606. C22×#121C24semidirect
618. C22×C4×D4C24semidirect
619. C22×C4×D4C24semidirect
620. C22×C4×D4C24semidirect
623. C22×#117C24semidirect
624. C22×#117C24semidirect
741. #2847C24semidirect
742. #2703C24semidirect
743. #2699C24semidirect
744. #2688C24semidirect
745. #2671C24semidirect
746. #2624C24semidirect
747. #2619C24semidirect
748. #2490C24semidirect
749. #2442C24semidirect
750. #2433C24semidirect
751. #2428C24semidirect
752. #2428C24semidirect
753. #2420C24semidirect
754. #2418C24semidirect
755. #2412C24semidirect
756. #2410C24semidirect
757. #2408C24semidirect
758. C2×#400C24semidirect
759. C2×#399C24semidirect
760. C2×#398C24semidirect
761. C2×#397C24semidirect
762. C2×#397C24semidirect
763. C2×#397C24semidirect
764. C2×#394C24semidirect
765. C2×#394C24semidirect
766. C2×#394C24semidirect
767. C2×#394C24semidirect
768. C2×#394C24semidirect
769. C2×#394C24semidirect
770. C2×#394C24semidirect
771. C2×#394C24semidirect
772. C2×#392C24semidirect
773. C2×#392C24semidirect
774. C2×#392C24semidirect
775. C2×#392C24semidirect
776. C2×#392C24semidirect
777. C2×#392C24semidirect
778. #2361C24semidirect
779. D4×C22⋊C4C24semidirect
780. #2324C24semidirect
781. C2×#390C24semidirect
782. C2×#390C24semidirect
783. C2×#390C24semidirect
784. C2×#390C24semidirect
785. C2×#390C24semidirect
786. C2×#390C24semidirect
787. C2×#390C24semidirect
788. C2×#389C24semidirect
789. C2×#389C24semidirect
790. C2×#389C24semidirect
791. C2×#388C24semidirect
792. C2×#388C24semidirect
793. C2×#388C24semidirect
796. C2×#386C24semidirect
797. C2×#386C24semidirect
798. C2×#386C24semidirect
799. C2×#386C24semidirect
800. C2×#386C24semidirect
801. C2×#386C24semidirect
802. C2×#386C24semidirect
803. C2×#386C24semidirect
805. C2×#385C24semidirect
806. C2×#385C24semidirect
807. C2×#382C24semidirect
808. #2280C24semidirect
809. C2×#381C24semidirect
810. C2×#381C24semidirect
811. C2×#381C24semidirect
816. C2×#380C24semidirect
817. C2×#380C24semidirect
818. C2×#380C24semidirect
819. C2×#380C24semidirect
823. C2×C4×C4⋊C4C24semidirect
826. C2×C4×C22⋊C4C24semidirect
827. C2×C4×C22⋊C4C24semidirect
1135. C2×#127C25semidirect
1136. C2×#127C25semidirect
1138. C2×#125C25semidirect
1141. C2×#123C25semidirect
1142. C2×#123C25semidirect
1156. C2×#121C22×D4semidirect
1164. C2×#121C25semidirect
1165. C2×#121C25semidirect
1166. C2×#121C25semidirect
1167. C2×#121C25semidirect
1168. C2×#121C25semidirect
1169. C2×#121C25semidirect
1181. C2×C4×D4C25semidirect
1182. C2×C4×D4C25semidirect
1183. C2×C4×D4C25semidirect
1186. C2×#117C25semidirect
1187. C2×#117C25semidirect
1304. #400C25semidirect
1305. #399C25semidirect
1306. #398C25semidirect
1307. #397C25semidirect
1308. #397C25semidirect
1309. #397C25semidirect
1310. #394C25semidirect
1311. #394C25semidirect
1312. #394C25semidirect
1313. #394C25semidirect
1314. #394C25semidirect
1315. #394C25semidirect
1316. #394C25semidirect
1317. #394C25semidirect
1318. #392C25semidirect
1319. #392C25semidirect
1320. #392C25semidirect
1321. #392C25semidirect
1322. #392C25semidirect
1323. #392C25semidirect
1324. #390C25semidirect
1325. #390C25semidirect
1326. #390C25semidirect
1327. #390C25semidirect
1328. #390C25semidirect
1329. #390C25semidirect
1330. #390C25semidirect
1331. #389C25semidirect
1332. #389C25semidirect
1333. #389C25semidirect
1334. #388C25semidirect
1335. #388C25semidirect
1336. #388C25semidirect
1339. #386C25semidirect
1340. #386C25semidirect
1341. #386C25semidirect
1342. #386C25semidirect
1343. #386C25semidirect
1344. #386C25semidirect
1345. #386C25semidirect
1346. #386C25semidirect
1348. #385C25semidirect
1349. #385C25semidirect
1350. #382C25semidirect
1351. #381C25semidirect
1352. #381C25semidirect
1353. #381C25semidirect
1358. #380C25semidirect
1359. #380C25semidirect
1360. #380C25semidirect
1361. #380C25semidirect
1365. C4×C4⋊C4C25semidirect
1368. C4×C22⋊C4C25semidirect
1369. C4×C22⋊C4C25semidirect
1494. C25#540semidirect
1756. #121C23×D4semidirect
2010. C24C2×#540semidirect
2379. C23#37662direct (N × H)
2381. C23C22×#540semidirect
2544. C22C2×#37662direct (N × H)
2546. C22C23×#540semidirect
2589. C2C22×#37662direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#24422
C23×#24902
C23×#26242
C23×#26992
C22×#376622
C23×#27032
C24×#5402
C23×#24202
C23×#26882
C23×#22802
C23×#23612
C23×#23242
C23×#24122
C23×#24182
C23×#26712
C23×#26192
C23×#24282
C25×#1212
C23×D4×C22⋊C42
C23×#28472
C23×#24332
C23×#24102
C23×#24082