Finite Group Databasebeta

← C23×#36123 #72339294

Subgroups — C23×#36123 #72339294

Order 2048.

2140216 conjugacy classes of subgroups.

The subgroup lattice has 2712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2440C211yesmaximal, characteristic, complemented
2C23×#2422C211yesmaximal, characteristic, complemented
3C23×#2491C211yesmaximal, characteristic, complemented
4C23×#2854C211yesmaximal, characteristic, complemented
5C24×#532C211yesmaximal, characteristic, complemented
6C24×C4×C22⋊C4C211yesmaximal, characteristic, complemented
7C23×#2361C211yesmaximal, characteristic, complemented
8C23×#2464C212yesmaximal, complemented
9C23×#2472C212yesmaximal, complemented
10C23×#2555C212yesmaximal, complemented
11C23×#2543C212yesmaximal, complemented
12C23×#2856C211yesmaximal, characteristic, complemented
13C23×#2428C211yesmaximal, characteristic, complemented
14C23×#2428C211yesmaximal, characteristic, complemented
15C25×#121C211yesmaximal, characteristic, complemented
16C23×C4×#121C211yesmaximal, characteristic, complemented
17C22×#36123C21224yesmaximal, direct product factor
18C23×#2430C212yesmaximal, complemented
19C23×#2358C212yesmaximal, complemented
20C24×#546C212yesmaximal, complemented
21C23×D4×C22⋊C4C211yesmaximal, characteristic, complemented
22C23×#2847C211yesmaximal, characteristic, complemented
23C23×#2433C211yesmaximal, characteristic, complemented
24C23×#2410C212yesmaximal, complemented
25C25×#41C2212yescomplemented
26C26×D4C2211yescharacteristic
27C26×D4C2212yes—
28C27×C4C2211yescharacteristic
29C23×#546—2128no—
30C23×#546C221224yescomplemented
31C23×#532—264no—
32C23×#532C221112yescomplemented
33C24×C4⋊Q8C2211yescharacteristic, complemented
34C24×#127C2211yescharacteristic, complemented
35C24×#127C2211yescharacteristic, complemented
36C24×#124C2212yescomplemented
37C24×#124C2212yescomplemented
38C24×#123C2212yescomplemented
39C24×#123C2212yescomplemented
40C24×C22⋊Q8C2212yes—
41C24×#121—264no—
42C24×#121C2212yes—
43C24×#121C2211yescharacteristic
44C24×#121C2211yescharacteristic
45C24×#121C2211yescharacteristic
46C24×#121C2211yescharacteristic
47C24×#121C2212yes—
48C24×#121C2211yescharacteristic
49C24×#121C221112yescomplemented
50C24×#121C2212yescomplemented
51C24×#121C2212yescomplemented
52C24×#121C2212yescomplemented
53C24×#121C2211yescharacteristic, complemented
54C24×#121C2212yescomplemented
55C24×#121C2212yescomplemented
56C24×#121C2211yescharacteristic, complemented
57C24×#120C2212yes—
58C24×#120C2212yes—
59C24×#120C2212yes—
60C24×C4×D4C2212yes—
61C24×C4×D4C2211yescharacteristic, complemented
62C24×C4×D4C2211yescharacteristic, complemented
63C24×C4×D4C2212yescomplemented
64C24×C4×D4C2212yescomplemented
65C24×C4×D4C2211yescharacteristic, complemented
66C25×C4⋊C4C2211yescharacteristic
67C25×C22⋊C4C2212yes—
68C25×C22⋊C4C2211yescharacteristic
69C25×C22⋊C4C2212yes—
70C25×C22⋊C4C2211yescharacteristic
71C25×C42C2211yescharacteristic, complemented
72C25×C42C2211yescharacteristic, complemented
73C22×#2856C221112yescomplemented
74C22×#2854C221112yescomplemented
75C22×#2847C221112yescomplemented
76C2×#36123C2217168yesdirect product factor
77C22×#2555C221224yescomplemented
78C22×#2543C221224yescomplemented
79C22×#2491C221112yescomplemented
80C22×#2430C221224yescomplemented
81C22×#2428C221112yescomplemented
82C22×#2428C221112yescomplemented
83C22×#2422C221112yescomplemented
84C22×#2464C221224yescomplemented
85C22×#2440C221112yescomplemented
86C22×#2433C221112yescomplemented
87C22×#2472C221224yescomplemented
88C22×#2410C221224yescomplemented
89C23×#398C2212yescomplemented
90C23×#397C2212yescomplemented
91C23×#395C2212yescomplemented
92C23×#394C2212yescomplemented
93C23×#394C2212yescomplemented
94C23×#394C2212yescomplemented
95C23×#394C2212yescomplemented
96C23×#393C2212yescomplemented
97C23×#392C2212yescomplemented
98C23×#392C2212yescomplemented
99C23×#392C2212yescomplemented
100C23×#392C2212yescomplemented
101C22×#2361C221112yescomplemented
102C22×#2358C221224yescomplemented
103C22×D4×C22⋊C4C221112yescomplemented
104C22×C4×#121C221112yescomplemented
105C23×#390C2211yescharacteristic, complemented
106C23×#390C2211yescharacteristic, complemented
107C23×#390C2211yescharacteristic, complemented
108C23×#390C2211yescharacteristic, complemented
109C23×#390C2212yescomplemented
110C23×#390C2212yescomplemented
111C23×#390C2211yescharacteristic, complemented
112C23×#389C2211yescharacteristic, complemented
113C23×#389C2211yescharacteristic, complemented
114C23×#389C2211yescharacteristic, complemented
115C23×#388C2212yescomplemented
116C23×#388C2212yescomplemented
117C23×#388C2212yescomplemented
118C23×#388C2212yescomplemented
119C23×#388C2212yescomplemented
120C23×#386C2212yes—
121C23×#386C2212yes—
122C23×#386C2212yescomplemented
123C23×#386C2212yescomplemented
124C23×#386C2212yescomplemented
125C23×#386C2212yescomplemented
126C23×#386C2212yescomplemented
127C23×#386C2212yescomplemented
128C23×#386C2212yescomplemented
129C23×#386C2212yescomplemented
130C23×#385C2212yes—
131C23×#385C2212yescomplemented
132C23×#385C2212yescomplemented
133C23×#384C2211yescharacteristic, complemented
134C23×#380C2211yescharacteristic
135C23×#380C2211yescharacteristic, complemented
136C23×#380C2211yescharacteristic, complemented
137C23×#379C2212yes—
138C23×C4×C4⋊C4C2211yescharacteristic, complemented
139C23×C4×C22⋊C4C2211yescharacteristic
140C23×C4×C22⋊C4C2211yescharacteristic
141C23×C4×C22⋊C4C2211yescharacteristic
142C23×C4×C22⋊C4C2211yescharacteristic
143C23×C4×C22⋊C4C2211yescharacteristic, complemented
144C23×C4×C22⋊C4C2211yescharacteristic, complemented
145C23×C4×C22⋊C4C2211yescharacteristic, complemented
146C23×C4×C22⋊C4C2212yescomplemented
147C23×C4×C22⋊C4C2211yescharacteristic, complemented
148C23×C4×C22⋊C4C221112yescomplemented
149C24×#95C2211yescharacteristic, complemented
150C24×#95C2211yescharacteristic, complemented
151C28C2312yes—
152C28C2311yescharacteristic
153C24×#41—264no—
154C24×#41—264no—
155C24×#41—432no—
156C24×#41C231112yescomplemented
157C25×Q8C2312yes—
158C25×D4—264no—
159C25×D4—232no—
160C25×D4—264no—
161C25×D4—232no—
162C25×D4—416no—
163C25×D4—432no—
164C25×D4C2312yes—
165C25×D4C2311yescharacteristic
166C25×D4C2312yes—
167C25×D4C2312yes—
168C25×D4C2311yescharacteristic
169C25×D4C2312yes—
170C25×D4C2312yes—
171C25×D4C2312yes—
172C25×D4C2312yes—
173C25×D4C2312yes—
174C25×D4C231112yes—
175C25×D4C23156yes—
176C25×D4C2311yescharacteristic
177C25×D4C2312yes—
178C25×D4C2312yes—
179C25×D4C2312yes—
180C25×D4C2312yes—
181C26×C4—232no—
182C26×C4—232no—
183C26×C4—416no—
184C26×C4C2311yescharacteristic
185C26×C4C2311yescharacteristic
186C26×C4C2311yescharacteristic
187C26×C4C2311yescharacteristic
188C26×C4C2312yes—
189C26×C4C2312yes—
190C26×C4C2312yes—
191C26×C4C2311yescharacteristic
192C26×C4C2311yescharacteristic
193C26×C4C23156yes—
194C26×C4C2311yescharacteristic
195C26×C4C2311yescharacteristic
196C26×C4C2311yescharacteristic
197C26×C4C2312yes—
198C26×C4C2311yescharacteristic
199C22×#546—27168no—
200C22×#546C2313584yescomplemented
201C22×#532—23584no—
202C22×#532C2311792yescomplemented
203C23×C4⋊Q8—232no—
204C23×C4⋊Q8C23156yescomplemented
205C23×#127—232no—
206C23×#127—416no—
207C23×#127C23156yescomplemented
208C23×#127C23156yescomplemented
209C23×#124—264no—
210C23×#124—264no—
211C23×#124C231112yescomplemented
212C23×#124C231112yescomplemented
213C23×#123—264no—
214C23×#123—264no—
215C23×#123C231112yescomplemented
216C23×#123C231112yescomplemented
217C23×C22⋊Q8—264no—
218C23×C22⋊Q8C231112yes—
219C23×#121—23584no—
220C23×#121—232no—
221C23×#121—264no—
222C23×#121—264no—
223C23×#121—264no—
224C23×#121—264no—
225C23×#121—232no—
226C23×#121—264no—
227C23×#121—232no—
228C23×#121—232no—
229C23×#121—264no—
230C23×#121—232no—
231C23×#121—432no—
232C23×#121—416no—
233C23×#121D4164yescomplemented
234C23×#121C231112yes—
235C23×#121C23156yes—
236C23×#121C23156yes—
237C23×#121C231112yes—
238C23×#121C23156yes—
239C23×#121C23156yes—
240C23×#121C23156yes—
241C23×#121C2311792yescomplemented
242C23×#121C231112yescomplemented
243C23×#121C23156yescomplemented
244C23×#121C231112yescomplemented
245C23×#121C231112yescomplemented
246C23×#121C231112yescomplemented
247C23×#121C231112yescomplemented
248C23×#121C23156yescomplemented
249C23×#120—264no—
250C23×#120—264no—
251C23×#120—264no—
252C23×#120C231112yes—
253C23×#120C231112yes—
254C23×#120C231112yes—
255C23×C4×D4—232no—
256C23×C4×D4—264no—
257C23×C4×D4—264no—
258C23×C4×D4—232no—
259C23×C4×D4—264no—
260C23×C4×D4—416no—
261C23×C4×D4C231112yes—
262C23×C4×D4C231112yescomplemented
263C23×C4×D4C231112yescomplemented
264C23×C4×D4C23156yescomplemented
265C23×C4×D4C23156yescomplemented
266C23×C4×D4C23156yescomplemented
267C24×C4⋊C4—232no—
268C24×C4⋊C4C2311yescharacteristic
269C24×C4⋊C4C2311yescharacteristic
270C24×C4⋊C4C2311yescharacteristic
271C24×C4⋊C4C2311yescharacteristic
272C24×C4⋊C4C2312yes—
273C24×C4⋊C4C23156yes—
274C24×C4⋊C4C2312yes—
275C24×C4⋊C4C2312yes—
276C24×C4⋊C4C2312yes—
277C24×C4⋊C4C2312yes—
278C24×C4⋊C4C2312yes—
279C24×C4⋊C4C2312yes—
280C24×C4⋊C4C2311yescharacteristic
281C24×C22⋊C4—264no—
282C24×C22⋊C4—264no—
283C24×C22⋊C4—232no—
284C24×C22⋊C4D4164yescomplemented
285C24×C22⋊C4C2311yescharacteristic
286C24×C22⋊C4C2312yes—
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⋊C4C23156yes—
297C24×C22⋊C4C231112yes—
298C24×C22⋊C4C2311yescharacteristic
299C24×C22⋊C4C2311yescharacteristic
300C24×C22⋊C4C2312yes—
301C24×C22⋊C4C2312yes—
302C24×C22⋊C4C2312yes—
303C24×C22⋊C4C2312yes—
304C24×C22⋊C4C2312yes—
305C24×C22⋊C4C2312yes—
306C24×C22⋊C4C2312yes—
307C24×C22⋊C4C2312yes—
308C24×C22⋊C4C2312yes—
309C24×C22⋊C4C2312yes—
310C24×C22⋊C4C2312yes—
311C24×C22⋊C4C2312yes—
312C24×C22⋊C4C2312yes—
313C24×C22⋊C4C2311yescharacteristic
314C24×C22⋊C4C2312yes—
315C24×C22⋊C4C2311yescharacteristic
316C24×C22⋊C4C2311yescharacteristic
317C24×C22⋊C4C2311yescharacteristic
318C24×C22⋊C4C23156yes—
319C24×C22⋊C4C2311yescharacteristic
320C24×C42—232no—
321C24×C42—416no—
322C24×C42C2311yescharacteristic
323C24×C42C2311yescharacteristic
324C24×C42C2311yescharacteristic
325C24×C42C2311yescharacteristic
326C24×C42C2311yescharacteristic
327C24×C42C2311yescharacteristic
328C24×C42C2312yes—
329C24×C42C2311yescharacteristic
330C24×C42C2311yescharacteristic
331C24×C42C23156yescomplemented
332C24×C42C23156yescomplemented
333C2×#2856C2311792yescomplemented
334C2×#2854C2311792yescomplemented
335C2×#2847C2311792yescomplemented
336#36123C23132768yesdirect product factor
337C2×#2555C2313584yescomplemented
338C2×#2543C2313584yescomplemented
339C2×#2491C2311792yescomplemented
340C2×#2430C2313584yescomplemented
341C2×#2428C2311792yescomplemented
342C2×#2428C2311792yescomplemented
343C2×#2422C2311792yescomplemented
344C2×#2464C2313584yescomplemented
345C2×#2440C2311792yescomplemented
346C2×#2433C2311792yescomplemented
347C2×#2472C2313584yescomplemented
348C2×#2410C2313584yescomplemented
349C22×#398C231112yescomplemented
350C22×#397C231112yescomplemented
351C22×#395C231112yescomplemented
352C22×#394C231112yescomplemented
353C22×#394C231112yescomplemented
354C22×#394C231112yescomplemented
355C22×#394C231112yescomplemented
356C22×#393C231112yescomplemented
357C22×#392C231112yescomplemented
358C22×#392C231112yescomplemented
359C22×#392C231112yescomplemented
360C22×#392C231112yescomplemented
361C2×#2361C2311792yescomplemented
362C2×#2358C2313584yescomplemented
363C2×D4×C22⋊C4C2311792yescomplemented
364C2×C4×#121C2311792yescomplemented
365C22×#390C23156yescomplemented
366C22×#390C231112yescomplemented
367C22×#390C23156yescomplemented
368C22×#390C23156yescomplemented
369C22×#390C23156yescomplemented
370C22×#390C23156yescomplemented
371C22×#390C231112yescomplemented
372C22×#389C23156yescomplemented
373C22×#389C23156yescomplemented
374C22×#389C23156yescomplemented
375C22×#388C231112yescomplemented
376C22×#388C231112yescomplemented
377C22×#388C231112yescomplemented
378C22×#388C231112yescomplemented
379C22×#388C231112yescomplemented
380C22×#386C231112yes—
381C22×#386C231112yes—
382C22×#386C231112yescomplemented
383C22×#386C231112yescomplemented
384C22×#386C231112yescomplemented
385C22×#386C231112yescomplemented
386C22×#386C231112yescomplemented
387C22×#386C231112yescomplemented
388C22×#386C231112yescomplemented
389C22×#386C231112yescomplemented
390C22×#385C231112yes—
391C22×#385C231112yescomplemented
392C22×#385C231112yescomplemented
393C22×#384C23156yescomplemented
394C22×#380C23156yes—
395C22×#380C23156yescomplemented
396C22×#380C23156yescomplemented
397C22×#379C231112yes—
398C22×C4×C4⋊C4C23156yescomplemented
399C22×C4×C22⋊C4C23156yes—
400C22×C4×C22⋊C4C23156yes—
401C22×C4×C22⋊C4C23156yes—
402C22×C4×C22⋊C4C23156yes—
403C22×C4×C22⋊C4C231112yescomplemented
404C22×C4×C22⋊C4C23156yescomplemented
405C22×C4×C22⋊C4C23156yescomplemented
406C22×C4×C22⋊C4C23156yescomplemented
407C22×C4×C22⋊C4C23156yescomplemented
408C22×C4×C22⋊C4C2311792yescomplemented
409C23×#95C2312yes—
410C23×#95C2312yes—
411C23×#95C2312yes—
412C23×#95C2312yes—
413C23×#95C2312yes—
414C23×#95C2311yescharacteristic
415C23×#95C2311yescharacteristic
416C23×#95C2312yes—
417C23×#95C2312yes—
418C23×#95C2311yescharacteristic
419C23×#95C2311yescharacteristic
420C23×#95C2311yescharacteristic
421C23×#95C2311yescharacteristic
422C23×#95C2311yescharacteristic
423C23×#95C2311yescharacteristic
424C23×#95C23156yescomplemented
425C23×#95C23156yescomplemented
426C27—216no—
427C27—216no—
428C27—216no—
429C27—216no—
430C27—232no—
431C27—232no—
432C27—232no—
433C27—232no—
434C27—48no—
435C27—48no—
436C27—416no—
437C27—416no—
438C27—416no—
439C27C2×D4132yes—
440C27C2412yes—
441C27C2412yes—
442C27C2411yescharacteristic
443C27C2412yes—
444C27C24156yes—
445C27C24128yes—
446C27C2411yescharacteristic
447C27C2411yescharacteristic
448C23×#41—21792no—
449C23×#41—21792no—
450C23×#41—4896no—
451C23×#41—42048no—
452C23×#41C241896yescomplemented
453C24×Q8—232no—
454C24×Q8—232no—
455C24×Q8—416no—
456C24×Q8C24156yes—
457C24×D4—232no—
458C24×D4—232no—
459C24×D4—232no—
460C24×D4—232no—
461C24×D4—232no—
462C24×D4—232no—
463C24×D4—232no—
464C24×D4—232no—
465C24×D4—21792no—
466C24×D4—232no—
467C24×D4—232no—
468C24×D4—232no—
469C24×D4—232no—
470C24×D4—232no—
471C24×D4—232no—
472C24×D4—232no—
473C24×D4—232no—
474C24×D4—232no—
475C24×D4—232no—
476C24×D4—2896no—
477C24×D4—21792no—
478C24×D4—232no—
479C24×D4—216no—
480C24×D4—232no—
481C24×D4—216no—
482C24×D4—232no—
483C24×D4—216no—
484C24×D4—232no—
485C24×D4—216no—
486C24×D4—232no—
487C24×D4—216no—
488C24×D4—232no—
489C24×D4—2896no—
490C24×D4—216no—
491C24×D4—216no—
492C24×D4—216no—
493C24×D4—4448no—
494C24×D4—41024no—
495C24×D4—416no—
496C24×D4—416no—
497C24×D4—416no—
498C24×D4—416no—
499C24×D4—416no—
500C24×D4—416no—
501C24×D4—416no—
502C24×D4—416no—
503C24×D4—416no—
504C24×D4—416no—
505C24×D4—416no—
506C24×D4—4896no—
507C24×D4—42048no—
508C24×D4C2×D4164yes—
509C24×D4C2×D4132yes—
510C24×D4C24156yes—
511C24×D4C24128yes—
512C24×D4C24156yes—
513C24×D4C24156yes—
514C24×D4C24128yes—
515C24×D4C241448yes—
516C24×D4C241896yes—
517C24×D4C24156yes—
518C24×D4C24156yes—
519C24×D4C24156yes—
520C24×D4C24156yes—
521C24×D4C24156yes—
522C24×D4C24156yes—
523C24×D4C24128yes—
524C24×D4C24156yes—
525C24×D4C24156yes—
526C24×D4C24156yes—
527C25×C4—216no—
528C25×C4—216no—
529C25×C4—216no—
530C25×C4—216no—
531C25×C4—216no—
532C25×C4—216no—
533C25×C4—216no—
534C25×C4—232no—
535C25×C4—232no—
536C25×C4—216no—
537C25×C4—216no—
538C25×C4—216no—
539C25×C4—216no—
540C25×C4—216no—
541C25×C4—2896no—
542C25×C4—216no—
543C25×C4—232no—
544C25×C4—232no—
545C25×C4—232no—
546C25×C4—232no—
547C25×C4—216no—
548C25×C4—216no—
549C25×C4—216no—
550C25×C4—216no—
551C25×C4—216no—
552C25×C4—2896no—
553C25×C4—216no—
554C25×C4—232no—
555C25×C4—4448no—
556C25×C4—48no—
557C25×C4—48no—
558C25×C4—48no—
559C25×C4—48no—
560C25×C4—48no—
561C25×C4—416no—
562C25×C4—416no—
563C25×C4—416no—
564C25×C4—48no—
565C25×C4—48no—
566C25×C4—41024no—
567C25×C4—416no—
568C25×C4—416no—
569C25×C4C2×D4132yes—
570C25×C4C2×D4132yescomplemented
571C25×C4C2×D4132yescomplemented
572C25×C4#41132yescomplemented
573C25×C4C24128yes—
574C25×C4C2411yescharacteristic
575C25×C4C2412yes—
576C25×C4C2412yes—
577C25×C4C2412yes—
578C25×C4C2411yescharacteristic
579C25×C4C2411yescharacteristic
580C25×C4C2412yes—
581C25×C4C241448yes—
582C25×C4C24128yes—
583C25×C4C24128yes—
584C25×C4C24128yes—
585C25×C4C24156yes—
586C25×C4C24156yes—
587C25×C4C24156yes—
588C25×C4C24128yes—
589C25×C4C24128yes—
590C25×C4C24128yes—
591C25×C4C2411yescharacteristic
592C25×C4C2411yescharacteristic
593C25×C4C2411yescharacteristic
594C25×C4C2412yes—
595C25×C4C2411yescharacteristic
596C25×C4C2411yescharacteristic
597C25×C4C24128yes—
598C25×C4C2411yescharacteristic
599C25×C4C2411yescharacteristic
600C25×C4C2411yescharacteristic
601C25×C4C24128yes—
602C25×C4C24156yes—
603C25×C4C24128yes—
604C25×C4C2411yescharacteristic
605C2×#546—257344no—
606C2×#546C2418192yescomplemented
607C2×#532—228672no—
608C2×#532C2414096yescomplemented
609C22×C4⋊Q8—2896no—
610C22×C4⋊Q8C241448yescomplemented
611C22×#127—2896no—
612C22×#127—4448no—
613C22×#127C241448yescomplemented
614C22×#127C241448yescomplemented
615C22×#124—21792no—
616C22×#124—21792no—
617C22×#124C241896yescomplemented
618C22×#124C241896yescomplemented
619C22×#123—21792no—
620C22×#123—21792no—
621C22×#123C241896yescomplemented
622C22×#123C241896yescomplemented
623C22×C22⋊Q8—21792no—
624C22×C22⋊Q8C241896yes—
625C22×#121—2896no—
626C22×#121—21792no—
627C22×#121—21792no—
628C22×#121—2896no—
629C22×#121—2896no—
630C22×#121—21792no—
631C22×#121—2896no—
632C22×#121—228672no—
633C22×#121—2896no—
634C22×#121—21792no—
635C22×#121—21792no—
636C22×#121—21792no—
637C22×#121—4448no—
638C22×#121—4896no—
639C22×#121C2×D411792yescomplemented
640C22×#121C241896yes—
641C22×#121C241448yes—
642C22×#121C241896yes—
643C22×#121C241448yes—
644C22×#121C241448yes—
645C22×#121C241448yes—
646C22×#121C241448yes—
647C22×#121C2414096yescomplemented
648C22×#121C241896yescomplemented
649C22×#121C241896yescomplemented
650C22×#121C241448yescomplemented
651C22×#121C241896yescomplemented
652C22×#121C241896yescomplemented
653C22×#121C241448yescomplemented
654C22×#121C241896yescomplemented
655C22×#120—21792no—
656C22×#120—21792no—
657C22×#120—21792no—
658C22×#120C241896yes—
659C22×#120C241896yes—
660C22×#120C241896yes—
661C22×C4×D4—2896no—
662C22×C4×D4—21792no—
663C22×C4×D4—2896no—
664C22×C4×D4—21792no—
665C22×C4×D4—21792no—
666C22×C4×D4—4448no—
667C22×C4×D4C241896yes—
668C22×C4×D4C241896yescomplemented
669C22×C4×D4C241448yescomplemented
670C22×C4×D4C241896yescomplemented
671C22×C4×D4C241448yescomplemented
672C22×C4×D4C241448yescomplemented
673C23×C4⋊C4—232no—
674C23×C4⋊C4—216no—
675C23×C4⋊C4—232no—
676C23×C4⋊C4—232no—
677C23×C4⋊C4—216no—
678C23×C4⋊C4—232no—
679C23×C4⋊C4—232no—
680C23×C4⋊C4—232no—
681C23×C4⋊C4—216no—
682C23×C4⋊C4—216no—
683C23×C4⋊C4—2896no—
684C23×C4⋊C4—416no—
685C23×C4⋊C4C2×D4132yes—
686C23×C4⋊C4C241448yes—
687C23×C4⋊C4C24128yes—
688C23×C4⋊C4C24156yes—
689C23×C4⋊C4C24156yes—
690C23×C4⋊C4C24156yes—
691C23×C4⋊C4C24128yes—
692C23×C4⋊C4C24156yes—
693C23×C4⋊C4C24128yes—
694C23×C4⋊C4C24128yes—
695C23×C4⋊C4C24156yes—
696C23×C4⋊C4C24156yes—
697C23×C4⋊C4C24156yes—
698C23×C4⋊C4C24128yes—
699C23×C22⋊C4—232no—
700C23×C22⋊C4—232no—
701C23×C22⋊C4—232no—
702C23×C22⋊C4—232no—
703C23×C22⋊C4—232no—
704C23×C22⋊C4—216no—
705C23×C22⋊C4—232no—
706C23×C22⋊C4—232no—
707C23×C22⋊C4—232no—
708C23×C22⋊C4—232no—
709C23×C22⋊C4—232no—
710C23×C22⋊C4—232no—
711C23×C22⋊C4—232no—
712C23×C22⋊C4—232no—
713C23×C22⋊C4—232no—
714C23×C22⋊C4—216no—
715C23×C22⋊C4—216no—
716C23×C22⋊C4—232no—
717C23×C22⋊C4—232no—
718C23×C22⋊C4—232no—
719C23×C22⋊C4—21792no—
720C23×C22⋊C4—21792no—
721C23×C22⋊C4—2896no—
722C23×C22⋊C4—416no—
723C23×C22⋊C4—416no—
724C23×C22⋊C4—416no—
725C23×C22⋊C4—416no—
726C23×C22⋊C4—416no—
727C23×C22⋊C4C2×D4132yes—
728C23×C22⋊C4C2×D4164yes—
729C23×C22⋊C4C2×D4132yes—
730C23×C22⋊C4C2×D411792yescomplemented
731C23×C22⋊C4C2×D4132yescomplemented
732C23×C22⋊C4C2×D4132yescomplemented
733C23×C22⋊C4#41132yescomplemented
734C23×C22⋊C4C241896yes—
735C23×C22⋊C4C241896yes—
736C23×C22⋊C4C241448yes—
737C23×C22⋊C4C24156yes—
738C23×C22⋊C4C24156yes—
739C23×C22⋊C4C24156yes—
740C23×C22⋊C4C24156yes—
741C23×C22⋊C4C24156yes—
742C23×C22⋊C4C24156yes—
743C23×C22⋊C4C24128yes—
744C23×C22⋊C4C24128yes—
745C23×C22⋊C4C24128yes—
746C23×C22⋊C4C24156yes—
747C23×C22⋊C4C24156yes—
748C23×C22⋊C4C24156yes—
749C23×C22⋊C4C24156yes—
750C23×C22⋊C4C24156yes—
751C23×C22⋊C4C24156yes—
752C23×C22⋊C4C24156yes—
753C23×C22⋊C4C24156yes—
754C23×C22⋊C4C24156yes—
755C23×C22⋊C4C24156yes—
756C23×C22⋊C4C24156yes—
757C23×C22⋊C4C24156yes—
758C23×C22⋊C4C24156yes—
759C23×C22⋊C4C24156yes—
760C23×C22⋊C4C24156yes—
761C23×C22⋊C4C24156yes—
762C23×C22⋊C4C24128yes—
763C23×C22⋊C4C24156yes—
764C23×C22⋊C4C24128yes—
765C23×C22⋊C4C24128yes—
766C23×C22⋊C4C24128yes—
767C23×C22⋊C4C241448yes—
768C23×C22⋊C4C24128yes—
769C23×C42—216no—
770C23×C42—216no—
771C23×C42—216no—
772C23×C42—216no—
773C23×C42—2896no—
774C23×C42—232no—
775C23×C42—216no—
776C23×C42—216no—
777C23×C42—48no—
778C23×C42—48no—
779C23×C42—4448no—
780C23×C42C24128yes—
781C23×C42C24128yes—
782C23×C42C24128yes—
783C23×C42C24128yes—
784C23×C42C24128yes—
785C23×C42C24128yes—
786C23×C42C24156yes—
787C23×C42C24128yes—
788C23×C42C24128yes—
789C23×C42C241448yescomplemented
790C23×C42C241448yescomplemented
791#2856C2414096yescomplemented
792#2854C2414096yescomplemented
793#2847C2414096yescomplemented
794#2555C2418192yescomplemented
795#2543C2418192yescomplemented
796#2491C2414096yescomplemented
797#2472C2418192yescomplemented
798#2464C2418192yescomplemented
799#2440C2414096yescomplemented
800#2433C2414096yescomplemented
801#2430C2418192yescomplemented
802#2428C2414096yescomplemented
803#2428C2414096yescomplemented
804#2422C2414096yescomplemented
805#2410C2418192yescomplemented
806C2×#398C241896yescomplemented
807C2×#397C241896yescomplemented
808C2×#395C241896yescomplemented
809C2×#394C241896yescomplemented
810C2×#394C241896yescomplemented
811C2×#394C241896yescomplemented
812C2×#394C241896yescomplemented
813C2×#393C241896yescomplemented
814C2×#392C241896yescomplemented
815C2×#392C241896yescomplemented
816C2×#392C241896yescomplemented
817C2×#392C241896yescomplemented
818#2361C2414096yescomplemented
819#2358C2418192yescomplemented
820D4×C22⋊C4C2414096yescomplemented
821C4×#121C2414096yescomplemented
822C2×#390C241896yescomplemented
823C2×#390C241448yescomplemented
824C2×#390C241448yescomplemented
825C2×#390C241448yescomplemented
826C2×#390C241448yescomplemented
827C2×#390C241896yescomplemented
828C2×#390C241448yescomplemented
829C2×#389C241448yescomplemented
830C2×#389C241448yescomplemented
831C2×#389C241448yescomplemented
832C2×#388C241896yescomplemented
833C2×#388C241896yescomplemented
834C2×#388C241896yescomplemented
835C2×#388C241896yescomplemented
836C2×#388C241896yescomplemented
837C2×#386C241896yes—
838C2×#386C241896yes—
839C2×#386C241896yescomplemented
840C2×#386C241896yescomplemented
841C2×#386C241896yescomplemented
842C2×#386C241896yescomplemented
843C2×#386C241896yescomplemented
844C2×#386C241896yescomplemented
845C2×#386C241896yescomplemented
846C2×#386C241896yescomplemented
847C2×#385C241896yes—
848C2×#385C241896yescomplemented
849C2×#385C241896yescomplemented
850C2×#384C241448yescomplemented
851C2×#380C241448yes—
852C2×#380C241448yescomplemented
853C2×#380C241448yescomplemented
854C2×#379C241896yes—
855C2×C4×C4⋊C4C241448yescomplemented
856C2×C4×C22⋊C4C241448yes—
857C2×C4×C22⋊C4C241448yes—
858C2×C4×C22⋊C4C241448yes—
859C2×C4×C22⋊C4C241448yes—
860C2×C4×C22⋊C4C241448yescomplemented
861C2×C4×C22⋊C4C241896yescomplemented
862C2×C4×C22⋊C4C241448yescomplemented
863C2×C4×C22⋊C4C241448yescomplemented
864C2×C4×C22⋊C4C241448yescomplemented
865C2×C4×C22⋊C4C2414096yescomplemented
866C22×#95C24128yes—
867C22×#95C24128yes—
868C22×#95C24128yes—
869C22×#95C24128yes—
870C22×#95C24128yes—
871C22×#95C24128yes—
872C22×#95C24128yes—
873C22×#95C24128yes—
874C22×#95C24156yes—
875C22×#95C24156yes—
876C22×#95C24156yes—
877C22×#95C24156yes—
878C22×#95C24156yes—
879C22×#95C24156yes—
880C22×#95C24156yes—
881C22×#95C241448yescomplemented
882C22×#95C241448yescomplemented
883C26—28no—
884C26—28no—
885C26—28no—
886C26—28no—
887C26—28no—
888C26—28no—
889C26—28no—
890C26—28no—
891C26—2512no—
892C26—2512no—
893C26—2224no—
894C26—28no—
895C26—216no—
896C26—2224no—
897C26—28no—
898C26—216no—
899C26—216no—
900C26—2224no—
901C26—28no—
902C26—28no—
903C26—216no—
904C26—216no—
905C26—2224no—
906C26—28no—
907C26—216no—
908C26—28no—
909C26—216no—
910C26—216no—
911C26—2448no—
912C26—216no—
913C26—216no—
914C26—216no—
915C26—216no—
916C26—216no—
917C26—216no—
918C26—216no—
919C26—216no—
920C26—216no—
921C26—216no—
922C26—216no—
923C26—216no—
924C26—2448no—
925C26—2448no—
926C26—2448no—
927C26—4112no—
928C26—4256no—
929C26—4112no—
930C26—4224no—
931C26—4224no—
932C26—4224no—
933C26—4256no—
934C26—4256no—
935C26—4256no—
936C26—4256no—
937C26—4512no—
938C26—4512no—
939C26—4512no—
940C26—4512no—
941C26—8256no—
942C26—8256no—
943C26—8256no—
944C26C22×D4132yes—
945C26C22×D4116yes—
946C26C22×D41448yes—
947C26C22×D4116yes—
948C26C22×D4116yes—
949C26C22×D4116yes—
950C26C2×#41116yes—
951C26C2×#41116yes—
952C26H(5,𝔽2)116yes—
953C26C25128yes—
954C26C25128yes—
955C26C25128yes—
956C26C25114yes—
957C26C251224yes—
958C26C251112yes—
959C26C25114yes—
960C26C25114yes—
961C26C2511yescharacteristic
962C22×#41—27168no—
963C22×#41—27168no—
964C22×#41—43584no—
965C22×#41—428672no—
966C22×#41C2511024yescomplemented
967C23×Q8—2448no—
968C23×Q8—2448no—
969C23×Q8—4224no—
970C23×Q8—4512no—
971C23×Q8C251224yes—
972C23×D4—21024no—
973C23×D4—2448no—
974C23×D4—2448no—
975C23×D4—2448no—
976C23×D4—2448no—
977C23×D4—2448no—
978C23×D4—2448no—
979C23×D4—2448no—
980C23×D4—2448no—
981C23×D4—27168no—
982C23×D4—2448no—
983C23×D4—2448no—
984C23×D4—2448no—
985C23×D4—2448no—
986C23×D4—2448no—
987C23×D4—2448no—
988C23×D4—2448no—
989C23×D4—2448no—
990C23×D4—2448no—
991C23×D4—2448no—
992C23×D4—23584no—
993C23×D4—27168no—
994C23×D4—2512no—
995C23×D4—2448no—
996C23×D4—2224no—
997C23×D4—2448no—
998C23×D4—2224no—
999C23×D4—2448no—
1000C23×D4—2224no—
1001C23×D4—2448no—
1002C23×D4—2224no—
1003C23×D4—2448no—
1004C23×D4—2224no—
1005C23×D4—2448no—
1006C23×D4—23584no—
1007C23×D4—2224no—
1008C23×D4—2224no—
1009C23×D4—2224no—
1010C23×D4—41792no—
1011C23×D4—414336no—
1012C23×D4—4224no—
1013C23×D4—4224no—
1014C23×D4—4224no—
1015C23×D4—4224no—
1016C23×D4—4224no—
1017C23×D4—4512no—
1018C23×D4—4512no—
1019C23×D4—4512no—
1020C23×D4—4512no—
1021C23×D4—4224no—
1022C23×D4—4224no—
1023C23×D4—4224no—
1024C23×D4—4224no—
1025C23×D4—4224no—
1026C23×D4—4224no—
1027C23×D4—43584no—
1028C23×D4—428672no—
1029C23×D4—4512no—
1030C23×D4—4512no—
1031C23×D4—4512no—
1032C23×D4—4512no—
1033C23×D4—4256no—
1034C23×D4—4256no—
1035C23×D4—8256no—
1036C23×D4—8256no—
1037C23×D4—8256no—
1038C23×D4C22×D41896yes—
1039C23×D4C22×D41448yes—
1040C23×D4C251224yes—
1041C23×D4C251112yes—
1042C23×D4C251224yes—
1043C23×D4C251224yes—
1044C23×D4C251112yes—
1045C23×D4C251512yes—
1046C23×D4C251224yes—
1047C23×D4C251224yes—
1048C23×D4C251224yes—
1049C23×D4C2511024yes—
1050C23×D4C251224yes—
1051C23×D4C251224yes—
1052C23×D4C251224yes—
1053C23×D4C251112yes—
1054C23×D4C251224yes—
1055C23×D4C251224yes—
1056C23×D4C251224yes—
1057C24×C4—2512no—
1058C24×C4—28no—
1059C24×C4—28no—
1060C24×C4—216no—
1061C24×C4—28no—
1062C24×C4—28no—
1063C24×C4—2224no—
1064C24×C4—28no—
1065C24×C4—28no—
1066C24×C4—28no—
1067C24×C4—28no—
1068C24×C4—28no—
1069C24×C4—28no—
1070C24×C4—2224no—
1071C24×C4—28no—
1072C24×C4—216no—
1073C24×C4—28no—
1074C24×C4—28no—
1075C24×C4—28no—
1076C24×C4—28no—
1077C24×C4—28no—
1078C24×C4—2512no—
1079C24×C4—2512no—
1080C24×C4—2224no—
1081C24×C4—2224no—
1082C24×C4—2224no—
1083C24×C4—2224no—
1084C24×C4—28no—
1085C24×C4—2224no—
1086C24×C4—216no—
1087C24×C4—216no—
1088C24×C4—2448no—
1089C24×C4—216no—
1090C24×C4—216no—
1091C24×C4—216no—
1092C24×C4—2448no—
1093C24×C4—28no—
1094C24×C4—2224no—
1095C24×C4—216no—
1096C24×C4—2224no—
1097C24×C4—28no—
1098C24×C4—28no—
1099C24×C4—28no—
1100C24×C4—216no—
1101C24×C4—216no—
1102C24×C4—28no—
1103C24×C4—28no—
1104C24×C4—2224no—
1105C24×C4—216no—
1106C24×C4—216no—
1107C24×C4—216no—
1108C24×C4—28no—
1109C24×C4—216no—
1110C24×C4—28no—
1111C24×C4—2224no—
1112C24×C4—2224no—
1113C24×C4—23584no—
1114C24×C4—2224no—
1115C24×C4—2448no—
1116C24×C4—2448no—
1117C24×C4—2448no—
1118C24×C4—2448no—
1119C24×C4—2224no—
1120C24×C4—2224no—
1121C24×C4—2224no—
1122C24×C4—2224no—
1123C24×C4—2224no—
1124C24×C4—23584no—
1125C24×C4—2224no—
1126C24×C4—2448no—
1127C24×C4—41792no—
1128C24×C4—4112no—
1129C24×C4—4112no—
1130C24×C4—4112no—
1131C24×C4—4256no—
1132C24×C4—4112no—
1133C24×C4—4112no—
1134C24×C4—4224no—
1135C24×C4—4224no—
1136C24×C4—4224no—
1137C24×C4—4112no—
1138C24×C4—4112no—
1139C24×C4—4256no—
1140C24×C4—414336no—
1141C24×C4—4512no—
1142C24×C4—4224no—
1143C24×C4—4224no—
1144C24×C4—4256no—
1145C24×C4—4256no—
1146C24×C4—4256no—
1147C24×C4—4256no—
1148C24×C4—4512no—
1149C24×C4—4512no—
1150C24×C4—4256no—
1151C24×C4—8256no—
1152C24×C4C22×D4116yes—
1153C24×C4C22×D4116yes—
1154C24×C4C22×D41448yes—
1155C24×C4C22×D4116yes—
1156C24×C4C22×D4132yes—
1157C24×C4C22×D4116yes—
1158C24×C4C22×D4116yes—
1159C24×C4C22×D4116yes—
1160C24×C4C22×D41448yescomplemented
1161C24×C4C22×D41448yescomplemented
1162C24×C4C2×#41116yes—
1163C24×C4C2×#41116yes—
1164C24×C4C2×#41116yes—
1165C24×C4C2×#41116yes—
1166C24×C4C2×#411448yescomplemented
1167C24×C4H(5,𝔽2)116yes—
1168C24×C4C25114yes—
1169C24×C4C251112yes—
1170C24×C4C25128yes—
1171C24×C4C25128yes—
1172C24×C4C25128yes—
1173C24×C4C25114yes—
1174C24×C4C25114yes—
1175C24×C4C25128yes—
1176C24×C4C251512yes—
1177C24×C4C251112yes—
1178C24×C4C251112yes—
1179C24×C4C251112yes—
1180C24×C4C251224yes—
1181C24×C4C251224yes—
1182C24×C4C251224yes—
1183C24×C4C251112yes—
1184C24×C4C251112yes—
1185C24×C4C25114yes—
1186C24×C4C25114yes—
1187C24×C4C25114yes—
1188C24×C4C251112yes—
1189C24×C4C25128yes—
1190C24×C4C25114yes—
1191C24×C4C25114yes—
1192C24×C4C251112yes—
1193C24×C4C25114yes—
1194C24×C4C25114yes—
1195C24×C4C25114yes—
1196C24×C4C251112yes—
1197C24×C4C251224yes—
1198C24×C4C251112yes—
1199C24×C4C25114yes—
1200#546—265536no—
1201#532—232768no—
1202C2×C4⋊Q8—23584no—
1203C2×C4⋊Q8C251512yescomplemented
1204C2×#127—23584no—
1205C2×#127—41792no—
1206C2×#127C251512yescomplemented
1207C2×#127C251512yescomplemented
1208C2×#124—27168no—
1209C2×#124—27168no—
1210C2×#124C2511024yescomplemented
1211C2×#124C2511024yescomplemented
1212C2×#123—27168no—
1213C2×#123—27168no—
1214C2×#123C2511024yescomplemented
1215C2×#123C2511024yescomplemented
1216C2×C22⋊Q8—27168no—
1217C2×C22⋊Q8C2511024yes—
1218C2×#121—23584no—
1219C2×#121—27168no—
1220C2×#121—27168no—
1221C2×#121—23584no—
1222C2×#121—23584no—
1223C2×#121—27168no—
1224C2×#121—23584no—
1225C2×#121—232768no—
1226C2×#121—23584no—
1227C2×#121—27168no—
1228C2×#121—27168no—
1229C2×#121—27168no—
1230C2×#121—41792no—
1231C2×#121—43584no—
1232C2×#121C22×D417168yescomplemented
1233C2×#121C251512yes—
1234C2×#121C251512yes—
1235C2×#121C251512yes—
1236C2×#121C251512yes—
1237C2×#121C2511024yes—
1238C2×#121C2511024yes—
1239C2×#121C251512yes—
1240C2×#121C251512yescomplemented
1241C2×#121C2511024yescomplemented
1242C2×#121C2511024yescomplemented
1243C2×#121C2511024yescomplemented
1244C2×#121C2511024yescomplemented
1245C2×#121C251512yescomplemented
1246C2×#121C2511024yescomplemented
1247C2×#120—27168no—
1248C2×#120—27168no—
1249C2×#120—27168no—
1250C2×#120C2511024yes—
1251C2×#120C2511024yes—
1252C2×#120C2511024yes—
1253C2×C4×D4—23584no—
1254C2×C4×D4—27168no—
1255C2×C4×D4—23584no—
1256C2×C4×D4—27168no—
1257C2×C4×D4—27168no—
1258C2×C4×D4—41792no—
1259C2×C4×D4C2511024yes—
1260C2×C4×D4C251512yescomplemented
1261C2×C4×D4C2511024yescomplemented
1262C2×C4×D4C251512yescomplemented
1263C2×C4×D4C2511024yescomplemented
1264C2×C4×D4C251512yescomplemented
1265C22×C4⋊C4—2448no—
1266C22×C4⋊C4—2224no—
1267C22×C4⋊C4—2448no—
1268C22×C4⋊C4—2448no—
1269C22×C4⋊C4—2224no—
1270C22×C4⋊C4—2448no—
1271C22×C4⋊C4—2448no—
1272C22×C4⋊C4—2448no—
1273C22×C4⋊C4—2224no—
1274C22×C4⋊C4—2224no—
1275C22×C4⋊C4—23584no—
1276C22×C4⋊C4—4224no—
1277C22×C4⋊C4C22×D41448yes—
1278C22×C4⋊C4C251512yes—
1279C22×C4⋊C4C251224yes—
1280C22×C4⋊C4C251224yes—
1281C22×C4⋊C4C251224yes—
1282C22×C4⋊C4C251224yes—
1283C22×C4⋊C4C251224yes—
1284C22×C4⋊C4C251112yes—
1285C22×C4⋊C4C251224yes—
1286C22×C4⋊C4C251112yes—
1287C22×C4⋊C4C251112yes—
1288C22×C4⋊C4C251112yes—
1289C22×C4⋊C4C251224yes—
1290C22×C4⋊C4C251112yes—
1291C22×C22⋊C4—2448no—
1292C22×C22⋊C4—2448no—
1293C22×C22⋊C4—2448no—
1294C22×C22⋊C4—2448no—
1295C22×C22⋊C4—2448no—
1296C22×C22⋊C4—2224no—
1297C22×C22⋊C4—2448no—
1298C22×C22⋊C4—2448no—
1299C22×C22⋊C4—2448no—
1300C22×C22⋊C4—2448no—
1301C22×C22⋊C4—2448no—
1302C22×C22⋊C4—2448no—
1303C22×C22⋊C4—2448no—
1304C22×C22⋊C4—2448no—
1305C22×C22⋊C4—2448no—
1306C22×C22⋊C4—2224no—
1307C22×C22⋊C4—2224no—
1308C22×C22⋊C4—2448no—
1309C22×C22⋊C4—2448no—
1310C22×C22⋊C4—2448no—
1311C22×C22⋊C4—27168no—
1312C22×C22⋊C4—27168no—
1313C22×C22⋊C4—23584no—
1314C22×C22⋊C4—4224no—
1315C22×C22⋊C4—4224no—
1316C22×C22⋊C4—4224no—
1317C22×C22⋊C4—4224no—
1318C22×C22⋊C4—4224no—
1319C22×C22⋊C4C22×D41448yes—
1320C22×C22⋊C4C22×D41896yes—
1321C22×C22⋊C4C22×D41448yes—
1322C22×C22⋊C4C22×D417168yescomplemented
1323C22×C22⋊C4C22×D41448yescomplemented
1324C22×C22⋊C4C22×D41448yescomplemented
1325C22×C22⋊C4C2×#411448yescomplemented
1326C22×C22⋊C4C2511024yes—
1327C22×C22⋊C4C2511024yes—
1328C22×C22⋊C4C251112yes—
1329C22×C22⋊C4C251112yes—
1330C22×C22⋊C4C251224yes—
1331C22×C22⋊C4C251224yes—
1332C22×C22⋊C4C251224yes—
1333C22×C22⋊C4C251224yes—
1334C22×C22⋊C4C251224yes—
1335C22×C22⋊C4C251224yes—
1336C22×C22⋊C4C251224yes—
1337C22×C22⋊C4C251224yes—
1338C22×C22⋊C4C251224yes—
1339C22×C22⋊C4C251224yes—
1340C22×C22⋊C4C251224yes—
1341C22×C22⋊C4C251224yes—
1342C22×C22⋊C4C251224yes—
1343C22×C22⋊C4C251224yes—
1344C22×C22⋊C4C251512yes—
1345C22×C22⋊C4C251112yes—
1346C22×C22⋊C4C251224yes—
1347C22×C22⋊C4C251224yes—
1348C22×C22⋊C4C251224yes—
1349C22×C22⋊C4C251224yes—
1350C22×C22⋊C4C251224yes—
1351C22×C22⋊C4C251224yes—
1352C22×C22⋊C4C251224yes—
1353C22×C22⋊C4C251224yes—
1354C22×C22⋊C4C251112yes—
1355C22×C22⋊C4C251224yes—
1356C22×C22⋊C4C251112yes—
1357C22×C22⋊C4C251112yes—
1358C22×C22⋊C4C251112yes—
1359C22×C22⋊C4C251512yes—
1360C22×C22⋊C4C251112yes—
1361C22×C42—2224no—
1362C22×C42—2224no—
1363C22×C42—2224no—
1364C22×C42—2224no—
1365C22×C42—23584no—
1366C22×C42—2448no—
1367C22×C42—2224no—
1368C22×C42—2224no—
1369C22×C42—41792no—
1370C22×C42—4112no—
1371C22×C42—4112no—
1372C22×C42C251112yes—
1373C22×C42C251112yes—
1374C22×C42C251112yes—
1375C22×C42C251112yes—
1376C22×C42C251112yes—
1377C22×C42C251112yes—
1378C22×C42C251224yes—
1379C22×C42C251112yes—
1380C22×C42C251112yes—
1381C22×C42C251512yescomplemented
1382C22×C42C251512yescomplemented
1383#398C2511024yescomplemented
1384#397C2511024yescomplemented
1385#395C2511024yescomplemented
1386#394C2511024yescomplemented
1387#394C2511024yescomplemented
1388#394C2511024yescomplemented
1389#394C2511024yescomplemented
1390#393C2511024yescomplemented
1391#392C2511024yescomplemented
1392#392C2511024yescomplemented
1393#392C2511024yescomplemented
1394#392C2511024yescomplemented
1395#390C251512yescomplemented
1396#390C251512yescomplemented
1397#390C251512yescomplemented
1398#390C2511024yescomplemented
1399#390C251512yescomplemented
1400#390C2511024yescomplemented
1401#390C251512yescomplemented
1402#389C251512yescomplemented
1403#389C251512yescomplemented
1404#389C251512yescomplemented
1405#388C2511024yescomplemented
1406#388C2511024yescomplemented
1407#388C2511024yescomplemented
1408#388C2511024yescomplemented
1409#388C2511024yescomplemented
1410#386C2511024yes—
1411#386C2511024yes—
1412#386C2511024yescomplemented
1413#386C2511024yescomplemented
1414#386C2511024yescomplemented
1415#386C2511024yescomplemented
1416#386C2511024yescomplemented
1417#386C2511024yescomplemented
1418#386C2511024yescomplemented
1419#386C2511024yescomplemented
1420#385C2511024yes—
1421#385C2511024yescomplemented
1422#385C2511024yescomplemented
1423#384C251512yescomplemented
1424#380C251512yes—
1425#380C251512yescomplemented
1426#380C251512yescomplemented
1427#379C2511024yes—
1428C4×C4⋊C4C251512yescomplemented
1429C4×C22⋊C4C251512yes—
1430C4×C22⋊C4C251512yes—
1431C4×C22⋊C4C251512yes—
1432C4×C22⋊C4C251512yes—
1433C4×C22⋊C4C2511024yescomplemented
1434C4×C22⋊C4C251512yescomplemented
1435C4×C22⋊C4C251512yescomplemented
1436C4×C22⋊C4C251512yescomplemented
1437C4×C22⋊C4C251512yescomplemented
1438C2×#95C251112yes—
1439C2×#95C251112yes—
1440C2×#95C251224yes—
1441C2×#95C251224yes—
1442C2×#95C251112yes—
1443C2×#95C251224yes—
1444C2×#95C251224yes—
1445C2×#95C251112yes—
1446C2×#95C251224yes—
1447C2×#95C251224yes—
1448C2×#95C251112yes—
1449C2×#95C251112yes—
1450C2×#95C251112yes—
1451C2×#95C251112yes—
1452C2×#95C251224yes—
1453C2×#95C251512yescomplemented
1454C2×#95C251512yescomplemented
1455C25—256no—
1456C25—256no—
1457C25—256no—
1458C25—256no—
1459C25—256no—
1460C25—256no—
1461C25—256no—
1462C25—256no—
1463C25—2128no—
1464C25—2128no—
1465C25—2128no—
1466C25—2128no—
1467C25—2128no—
1468C25—2128no—
1469C25—2128no—
1470C25—2128no—
1471C25—2128no—
1472C25—2128no—
1473C25—2128no—
1474C25—2128no—
1475C25—2112no—
1476C25—2448no—
1477C25—256no—
1478C25—2448no—
1479C25—256no—
1480C25—2112no—
1481C25—2448no—
1482C25—256no—
1483C25—2112no—
1484C25—2112no—
1485C25—256no—
1486C25—2112no—
1487C25—2448no—
1488C25—256no—
1489C25—2112no—
1490C25—256no—
1491C25—2128no—
1492C25—23584no—
1493C25—2256no—
1494C25—23584no—
1495C25—2128no—
1496C25—2256no—
1497C25—2256no—
1498C25—2128no—
1499C25—2112no—
1500C25—2112no—
1501C25—2896no—
1502C25—2112no—
1503C25—2112no—
1504C25—2112no—
1505C25—2112no—
1506C25—2112no—
1507C25—2112no—
1508C25—2112no—
1509C25—2112no—
1510C25—2112no—
1511C25—2112no—
1512C25—2112no—
1513C25—2112no—
1514C25—2896no—
1515C25—2896no—
1516C25—2896no—
1517C25—4224no—
1518C25—41792no—
1519C25—4224no—
1520C25—4448no—
1521C25—4448no—
1522C25—4448no—
1523C25—41792no—
1524C25—48192no—
1525C25—41792no—
1526C25—41792no—
1527C25—41792no—
1528C25—43584no—
1529C25—43584no—
1530C25—43584no—
1531C25—4128no—
1532C25—464no—
1533C25—464no—
1534C25—464no—
1535C25—4128no—
1536C25—4128no—
1537C25—464no—
1538C25—4128no—
1539C25—4128no—
1540C25—4128no—
1541C25—43584no—
1542C25—4128no—
1543C25—4128no—
1544C25—4128no—
1545C25—4128no—
1546C25—4128no—
1547C25—4128no—
1548C25—4128no—
1549C25—4128no—
1550C25—4128no—
1551C25—4128no—
1552C25—4128no—
1553C25—4128no—
1554C25—81792no—
1555C25—81792no—
1556C25—81792no—
1557C25—88192no—
1558C25#5321256yescomplemented
1559C25D421256yes—
1560C25C23×D41224yes—
1561C25C23×D41112yes—
1562C25C23×D41896yes—
1563C25C23×D41112yes—
1564C25C23×D41112yes—
1565C25C23×D41112yes—
1566C25C23×D418yes—
1567C25C23×D418yes—
1568C25C22×#411112yes—
1569C25C22×#411112yes—
1570C25C22×#4118yes—
1571C25C22×#4118yes—
1572C25C2×H(5,𝔽2)1112yes—
1573C25C2×H(5,𝔽2)18yes—
1574C25C2×H(5,𝔽2)18yes—
1575C25#58518yes—
1576C25C26156yes—
1577C25C26156yes—
1578C25C26156yes—
1579C25C26128yes—
1580C25C261128yes—
1581C25C26164yes—
1582C25C26128yes—
1583C25C26128yes—
1584C25C2617yes—
1585C2×#41—24096no—
1586C2×#41—24096no—
1587C2×#41—42048no—
1588C2×#41—457344no—
1589C22×Q8—2896no—
1590C22×Q8—2896no—
1591C22×Q8—4448no—
1592C22×Q8—43584no—
1593C22×Q8C261128yes—
1594C22×D4—2896no—
1595C22×D4—2896no—
1596C22×D4—27168no—
1597C22×D4—2896no—
1598C22×D4—2896no—
1599C22×D4—2896no—
1600C22×D4—2896no—
1601C22×D4—2896no—
1602C22×D4—2896no—
1603C22×D4—2896no—
1604C22×D4—2896no—
1605C22×D4—2896no—
1606C22×D4—2896no—
1607C22×D4—2896no—
1608C22×D4—24096no—
1609C22×D4—2896no—
1610C22×D4—2896no—
1611C22×D4—2896no—
1612C22×D4—2896no—
1613C22×D4—2896no—
1614C22×D4—22048no—
1615C22×D4—24096no—
1616C22×D4—2448no—
1617C22×D4—2896no—
1618C22×D4—2896no—
1619C22×D4—2448no—
1620C22×D4—2896no—
1621C22×D4—2448no—
1622C22×D4—2896no—
1623C22×D4—2448no—
1624C22×D4—2896no—
1625C22×D4—2448no—
1626C22×D4—2896no—
1627C22×D4—22048no—
1628C22×D4—2448no—
1629C22×D4—2448no—
1630C22×D4—2448no—
1631C22×D4—23584no—
1632C22×D4—41024no—
1633C22×D4—428672no—
1634C22×D4—4448no—
1635C22×D4—4448no—
1636C22×D4—4448no—
1637C22×D4—4448no—
1638C22×D4—4448no—
1639C22×D4—43584no—
1640C22×D4—43584no—
1641C22×D4—43584no—
1642C22×D4—43584no—
1643C22×D4—4448no—
1644C22×D4—4448no—
1645C22×D4—4448no—
1646C22×D4—4448no—
1647C22×D4—4448no—
1648C22×D4—4448no—
1649C22×D4—42048no—
1650C22×D4—457344no—
1651C22×D4—43584no—
1652C22×D4—43584no—
1653C22×D4—43584no—
1654C22×D4—43584no—
1655C22×D4—41792no—
1656C22×D4—41792no—
1657C22×D4—81792no—
1658C22×D4—81792no—
1659C22×D4—81792no—
1660C22×D4C23×D41896yes—
1661C22×D4C23×D411792yes—
1662C22×D4C261128yes—
1663C22×D4C26164yes—
1664C22×D4C261128yes—
1665C22×D4C261128yes—
1666C22×D4C26164yes—
1667C22×D4C261128yes—
1668C22×D4C261128yes—
1669C22×D4C261128yes—
1670C22×D4C261128yes—
1671C22×D4C261128yes—
1672C22×D4C26164yes—
1673C22×D4C261128yes—
1674C22×D4C261128yes—
1675C22×D4C261128yes—
1676C22×D4C261128yes—
1677C23×C4—256no—
1678C23×C4—256no—
1679C23×C4—2112no—
1680C23×C4—256no—
1681C23×C4—256no—
1682C23×C4—2448no—
1683C23×C4—256no—
1684C23×C4—256no—
1685C23×C4—256no—
1686C23×C4—256no—
1687C23×C4—256no—
1688C23×C4—256no—
1689C23×C4—2448no—
1690C23×C4—256no—
1691C23×C4—2112no—
1692C23×C4—256no—
1693C23×C4—256no—
1694C23×C4—256no—
1695C23×C4—256no—
1696C23×C4—256no—
1697C23×C4—2128no—
1698C23×C4—2128no—
1699C23×C4—23584no—
1700C23×C4—2256no—
1701C23×C4—2128no—
1702C23×C4—2128no—
1703C23×C4—2128no—
1704C23×C4—2128no—
1705C23×C4—2128no—
1706C23×C4—2128no—
1707C23×C4—2448no—
1708C23×C4—2448no—
1709C23×C4—2448no—
1710C23×C4—2448no—
1711C23×C4—23584no—
1712C23×C4—23584no—
1713C23×C4—2112no—
1714C23×C4—256no—
1715C23×C4—256no—
1716C23×C4—2112no—
1717C23×C4—2112no—
1718C23×C4—2112no—
1719C23×C4—2112no—
1720C23×C4—2112no—
1721C23×C4—2896no—
1722C23×C4—2896no—
1723C23×C4—2448no—
1724C23×C4—2448no—
1725C23×C4—256no—
1726C23×C4—256no—
1727C23×C4—2112no—
1728C23×C4—2112no—
1729C23×C4—2448no—
1730C23×C4—256no—
1731C23×C4—256no—
1732C23×C4—2112no—
1733C23×C4—256no—
1734C23×C4—256no—
1735C23×C4—2112no—
1736C23×C4—2112no—
1737C23×C4—2448no—
1738C23×C4—256no—
1739C23×C4—2112no—
1740C23×C4—2448no—
1741C23×C4—2896no—
1742C23×C4—2896no—
1743C23×C4—2896no—
1744C23×C4—2896no—
1745C23×C4—2448no—
1746C23×C4—22048no—
1747C23×C4—2448no—
1748C23×C4—2448no—
1749C23×C4—2448no—
1750C23×C4—2448no—
1751C23×C4—2448no—
1752C23×C4—2448no—
1753C23×C4—22048no—
1754C23×C4—2448no—
1755C23×C4—2896no—
1756C23×C4—41024no—
1757C23×C4—4224no—
1758C23×C4—4224no—
1759C23×C4—4224no—
1760C23×C4—41792no—
1761C23×C4—4224no—
1762C23×C4—4224no—
1763C23×C4—4448no—
1764C23×C4—4448no—
1765C23×C4—4448no—
1766C23×C4—4224no—
1767C23×C4—4224no—
1768C23×C4—41792no—
1769C23×C4—428672no—
1770C23×C4—43584no—
1771C23×C4—4448no—
1772C23×C4—4448no—
1773C23×C4—41792no—
1774C23×C4—41792no—
1775C23×C4—41792no—
1776C23×C4—41792no—
1777C23×C4—43584no—
1778C23×C4—43584no—
1779C23×C4—4128no—
1780C23×C4—4128no—
1781C23×C4—4128no—
1782C23×C4—464no—
1783C23×C4—464no—
1784C23×C4—4128no—
1785C23×C4—464no—
1786C23×C4—41792no—
1787C23×C4—81792no—
1788C23×C4#5461256yescomplemented
1789C23×C4C23×D41112yes—
1790C23×C4C23×D41112yes—
1791C23×C4C23×D41112yes—
1792C23×C4C23×D41112yes—
1793C23×C4C23×D41112yes—
1794C23×C4C23×D41224yes—
1795C23×C4C23×D41896yes—
1796C23×C4C23×D41112yes—
1797C23×C4C23×D41896yescomplemented
1798C23×C4C23×D41896yescomplemented
1799C23×C4C22×#411112yes—
1800C23×C4C22×#411112yes—
1801C23×C4C22×#411112yes—
1802C23×C4C22×#411112yes—
1803C23×C4C22×#411896yescomplemented
1804C23×C4C2×H(5,𝔽2)1112yes—
1805C23×C4C26128yes—
1806C23×C4C26128yes—
1807C23×C4C26156yes—
1808C23×C4C26156yes—
1809C23×C4C26156yes—
1810C23×C4C26128yes—
1811C23×C4C26156yes—
1812C23×C4C26164yes—
1813C23×C4C26164yes—
1814C23×C4C261128yes—
1815C23×C4C261128yes—
1816C23×C4C26164yes—
1817C23×C4C26164yes—
1818C23×C4C261128yes—
1819C23×C4C26164yes—
1820C23×C4C26164yes—
1821C23×C4C26128yes—
1822C23×C4C26128yes—
1823C23×C4C26128yes—
1824C23×C4C26128yes—
1825C23×C4C26128yes—
1826C23×C4C26156yes—
1827C23×C4C26164yes—
1828C23×C4C26164yes—
1829C23×C4C26128yes—
1830C23×C4C26128yes—
1831C23×C4C26128yes—
1832C23×C4C26164yes—
1833C23×C4C261128yes—
1834C23×C4C26164yes—
1835C23×C4C26128yes—
1836C4⋊Q8—22048no—
1837#127—22048no—
1838#127—41024no—
1839#124—24096no—
1840#124—24096no—
1841#123—24096no—
1842#123—24096no—
1843C22⋊Q8—24096no—
1844#121—22048no—
1845#121—24096no—
1846#121—24096no—
1847#121—22048no—
1848#121—22048no—
1849#121—24096no—
1850#121—22048no—
1851#121—22048no—
1852#121—24096no—
1853#121—24096no—
1854#121—24096no—
1855#121—41024no—
1856#121—42048no—
1857#121C23×D414096yescomplemented
1858#120—24096no—
1859#120—24096no—
1860#120—24096no—
1861C4×D4—22048no—
1862C4×D4—24096no—
1863C4×D4—22048no—
1864C4×D4—24096no—
1865C4×D4—24096no—
1866C4×D4—41024no—
1867C2×C4⋊C4—2896no—
1868C2×C4⋊C4—2448no—
1869C2×C4⋊C4—2896no—
1870C2×C4⋊C4—2896no—
1871C2×C4⋊C4—2448no—
1872C2×C4⋊C4—2896no—
1873C2×C4⋊C4—2896no—
1874C2×C4⋊C4—2896no—
1875C2×C4⋊C4—2448no—
1876C2×C4⋊C4—2448no—
1877C2×C4⋊C4—22048no—
1878C2×C4⋊C4—4448no—
1879C2×C4⋊C4C23×D41896yes—
1880C2×C4⋊C4C26164yes—
1881C2×C4⋊C4C261128yes—
1882C2×C4⋊C4C261128yes—
1883C2×C4⋊C4C261128yes—
1884C2×C4⋊C4C26164yes—
1885C2×C4⋊C4C261128yes—
1886C2×C4⋊C4C26164yes—
1887C2×C4⋊C4C26164yes—
1888C2×C4⋊C4C261128yes—
1889C2×C4⋊C4C261128yes—
1890C2×C4⋊C4C261128yes—
1891C2×C4⋊C4C26164yes—
1892C2×C22⋊C4—2896no—
1893C2×C22⋊C4—2896no—
1894C2×C22⋊C4—2896no—
1895C2×C22⋊C4—2896no—
1896C2×C22⋊C4—2896no—
1897C2×C22⋊C4—2448no—
1898C2×C22⋊C4—2896no—
1899C2×C22⋊C4—2896no—
1900C2×C22⋊C4—2896no—
1901C2×C22⋊C4—2896no—
1902C2×C22⋊C4—2896no—
1903C2×C22⋊C4—2896no—
1904C2×C22⋊C4—2896no—
1905C2×C22⋊C4—2896no—
1906C2×C22⋊C4—2896no—
1907C2×C22⋊C4—2448no—
1908C2×C22⋊C4—2448no—
1909C2×C22⋊C4—2896no—
1910C2×C22⋊C4—2896no—
1911C2×C22⋊C4—2896no—
1912C2×C22⋊C4—24096no—
1913C2×C22⋊C4—24096no—
1914C2×C22⋊C4—22048no—
1915C2×C22⋊C4—4448no—
1916C2×C22⋊C4—4448no—
1917C2×C22⋊C4—4448no—
1918C2×C22⋊C4—4448no—
1919C2×C22⋊C4—4448no—
1920C2×C22⋊C4C23×D41896yes—
1921C2×C22⋊C4C23×D411792yes—
1922C2×C22⋊C4C23×D41896yes—
1923C2×C22⋊C4C23×D414096yescomplemented
1924C2×C22⋊C4C23×D41896yescomplemented
1925C2×C22⋊C4C23×D41896yescomplemented
1926C2×C22⋊C4C22×#411896yescomplemented
1927C2×C22⋊C4C261128yes—
1928C2×C22⋊C4C261128yes—
1929C2×C22⋊C4C261128yes—
1930C2×C22⋊C4C261128yes—
1931C2×C22⋊C4C261128yes—
1932C2×C22⋊C4C261128yes—
1933C2×C22⋊C4C26164yes—
1934C2×C22⋊C4C26164yes—
1935C2×C22⋊C4C26164yes—
1936C2×C22⋊C4C261128yes—
1937C2×C22⋊C4C261128yes—
1938C2×C22⋊C4C261128yes—
1939C2×C22⋊C4C261128yes—
1940C2×C22⋊C4C261128yes—
1941C2×C22⋊C4C261128yes—
1942C2×C22⋊C4C261128yes—
1943C2×C22⋊C4C261128yes—
1944C2×C22⋊C4C261128yes—
1945C2×C22⋊C4C261128yes—
1946C2×C22⋊C4C261128yes—
1947C2×C22⋊C4C261128yes—
1948C2×C22⋊C4C261128yes—
1949C2×C22⋊C4C261128yes—
1950C2×C22⋊C4C261128yes—
1951C2×C22⋊C4C261128yes—
1952C2×C22⋊C4C26164yes—
1953C2×C22⋊C4C261128yes—
1954C2×C22⋊C4C26164yes—
1955C2×C22⋊C4C26164yes—
1956C2×C22⋊C4C26164yes—
1957C2×C22⋊C4C26164yes—
1958C2×C42—2896no—
1959C2×C42—2448no—
1960C2×C42—2448no—
1961C2×C42—2448no—
1962C2×C42—2448no—
1963C2×C42—22048no—
1964C2×C42—2448no—
1965C2×C42—2448no—
1966C2×C42—41024no—
1967C2×C42—4224no—
1968C2×C42—4224no—
1969C2×C42C261128yes—
1970C2×C42C26164yes—
1971C2×C42C26164yes—
1972C2×C42C26164yes—
1973C2×C42C26164yes—
1974C2×C42C26164yes—
1975C2×C42C26164yes—
1976C2×C42C26164yes—
1977C2×C42C26164yes—
1978#95C26164yes—
1979#95C26164yes—
1980#95C26164yes—
1981#95C26164yes—
1982#95C26164yes—
1983#95C26164yes—
1984#95C26164yes—
1985#95C26164yes—
1986#95C261128yes—
1987#95C261128yes—
1988#95C261128yes—
1989#95C261128yes—
1990#95C261128yes—
1991#95C261128yes—
1992#95C261128yes—
1993C24—22048no—
1994C24—22048no—
1995C24—2448no—
1996C24—2448no—
1997C24—2448no—
1998C24—2448no—
1999C24—2448no—
2000C24—2448no—
2001C24—256no—
2002C24—256no—
2003C24—256no—
2004C24—256no—
2005C24—256no—
2006C24—256no—
2007C24—256no—
2008C24—256no—
2009C24—2448no—
2010C24—2448no—
2011C24—2448no—
2012C24—2448no—
2013C24—2448no—
2014C24—2448no—
2015C24—2448no—
2016C24—2112no—
2017C24—2128no—
2018C24—256no—
2019C24—2128no—
2020C24—256no—
2021C24—2112no—
2022C24—2128no—
2023C24—256no—
2024C24—2112no—
2025C24—2112no—
2026C24—256no—
2027C24—2112no—
2028C24—2128no—
2029C24—256no—
2030C24—2112no—
2031C24—256no—
2032C24—2448no—
2033C24—23584no—
2034C24—2896no—
2035C24—23584no—
2036C24—2448no—
2037C24—2896no—
2038C24—2896no—
2039C24—2112no—
2040C24—2112no—
2041C24—2256no—
2042C24—2112no—
2043C24—2112no—
2044C24—2112no—
2045C24—2112no—
2046C24—2112no—
2047C24—2112no—
2048C24—2112no—
2049C24—2112no—
2050C24—2112no—
2051C24—2112no—
2052C24—2112no—
2053C24—2112no—
2054C24—2256no—
2055C24—2256no—
2056C24—2256no—
2057C24—464no—
2058C24—41792no—
2059C24—464no—
2060C24—4128no—
2061C24—4128no—
2062C24—4128no—
2063C24—41792no—
2064C24—41792no—
2065C24—41792no—
2066C24—41792no—
2067C24—428672no—
2068C24—43584no—
2069C24—43584no—
2070C24—43584no—
2071C24—41024no—
2072C24—42048no—
2073C24—4448no—
2074C24—4224no—
2075C24—4448no—
2076C24—4224no—
2077C24—4448no—
2078C24—4448no—
2079C24—4224no—
2080C24—4224no—
2081C24—4448no—
2082C24—4448no—
2083C24—4448no—
2084C24—4448no—
2085C24—4448no—
2086C24—4448no—
2087C24—4448no—
2088C24—4448no—
2089C24—43584no—
2090C24—4448no—
2091C24—4448no—
2092C24—4448no—
2093C24—4448no—
2094C24—4448no—
2095C24—4448no—
2096C24—81792no—
2097C24—81792no—
2098C24—81792no—
2099C24—828672no—
2100C24—81024no—
2101C24—81024no—
2102C24C2×#532164yes—
2103C24C2×#5321896yescomplemented
2104C24C2×D421896yes—
2105C24C2×D42164yes—
2106C24C2×#546164yes—
2107C24D4×#41164yes—
2108C24#3494164yes—
2109C24#3496164yes—
2110C24#3519164yes—
2111C24C24×D41224yes—
2112C24C24×D41112yes—
2113C24C24×D41256yes—
2114C24C24×D41112yes—
2115C24C24×D41112yes—
2116C24C24×D41112yes—
2117C24C24×D4128yes—
2118C24C24×D4128yes—
2119C24C23×#411112yes—
2120C24C23×#411112yes—
2121C24C23×#41128yes—
2122C24C23×#41128yes—
2123C24C22×H(5,𝔽2)1112yes—
2124C24C22×H(5,𝔽2)128yes—
2125C24C22×H(5,𝔽2)128yes—
2126C24C2×#585128yes—
2127C24C27116yes—
2128C24C27116yes—
2129C24C27116yes—
2130C24C2718yes—
2131C24C2718yes—
2132C24C2718yes—
2133C24C2717yes—
2134#41—416384no—
2135C2×Q8—2256no—
2136C2×Q8—2256no—
2137C2×Q8—4128no—
2138C2×Q8—43584no—
2139C2×D4—2256no—
2140C2×D4—2256no—
2141C2×D4—27168no—
2142C2×D4—2256no—
2143C2×D4—2256no—
2144C2×D4—2256no—
2145C2×D4—2256no—
2146C2×D4—2256no—
2147C2×D4—2256no—
2148C2×D4—2256no—
2149C2×D4—2256no—
2150C2×D4—2256no—
2151C2×D4—2256no—
2152C2×D4—2256no—
2153C2×D4—2256no—
2154C2×D4—2256no—
2155C2×D4—2256no—
2156C2×D4—2256no—
2157C2×D4—2256no—
2158C2×D4—2128no—
2159C2×D4—2256no—
2160C2×D4—2256no—
2161C2×D4—2128no—
2162C2×D4—2256no—
2163C2×D4—2128no—
2164C2×D4—2256no—
2165C2×D4—2128no—
2166C2×D4—2256no—
2167C2×D4—2128no—
2168C2×D4—2256no—
2169C2×D4—2128no—
2170C2×D4—2128no—
2171C2×D4—2128no—
2172C2×D4—23584no—
2173C2×D4—48192no—
2174C2×D4—4128no—
2175C2×D4—4128no—
2176C2×D4—4128no—
2177C2×D4—4128no—
2178C2×D4—4128no—
2179C2×D4—43584no—
2180C2×D4—43584no—
2181C2×D4—43584no—
2182C2×D4—43584no—
2183C2×D4—4128no—
2184C2×D4—4128no—
2185C2×D4—4128no—
2186C2×D4—4128no—
2187C2×D4—4128no—
2188C2×D4—4128no—
2189C2×D4—416384no—
2190C2×D4—43584no—
2191C2×D4—43584no—
2192C2×D4—43584no—
2193C2×D4—43584no—
2194C2×D4—41792no—
2195C2×D4—41792no—
2196C2×D4—81792no—
2197C2×D4—81792no—
2198C2×D4—81792no—
2199C2×D4C24×D41256yes—
2200C2×D4C24×D41512yes—
2201C22×C4—2448no—
2202C22×C4—2448no—
2203C22×C4—2448no—
2204C22×C4—256no—
2205C22×C4—256no—
2206C22×C4—256no—
2207C22×C4—2128no—
2208C22×C4—2112no—
2209C22×C4—256no—
2210C22×C4—256no—
2211C22×C4—256no—
2212C22×C4—256no—
2213C22×C4—256no—
2214C22×C4—256no—
2215C22×C4—256no—
2216C22×C4—256no—
2217C22×C4—256no—
2218C22×C4—256no—
2219C22×C4—2128no—
2220C22×C4—2112no—
2221C22×C4—256no—
2222C22×C4—256no—
2223C22×C4—256no—
2224C22×C4—2448no—
2225C22×C4—2448no—
2226C22×C4—23584no—
2227C22×C4—2896no—
2228C22×C4—2448no—
2229C22×C4—2448no—
2230C22×C4—2448no—
2231C22×C4—2128no—
2232C22×C4—2128no—
2233C22×C4—2128no—
2234C22×C4—2128no—
2235C22×C4—23584no—
2236C22×C4—23584no—
2237C22×C4—256no—
2238C22×C4—2128no—
2239C22×C4—2112no—
2240C22×C4—256no—
2241C22×C4—2112no—
2242C22×C4—2112no—
2243C22×C4—2112no—
2244C22×C4—2112no—
2245C22×C4—2112no—
2246C22×C4—2256no—
2247C22×C4—2256no—
2248C22×C4—2128no—
2249C22×C4—256no—
2250C22×C4—256no—
2251C22×C4—2112no—
2252C22×C4—2112no—
2253C22×C4—2128no—
2254C22×C4—256no—
2255C22×C4—256no—
2256C22×C4—256no—
2257C22×C4—2112no—
2258C22×C4—256no—
2259C22×C4—2112no—
2260C22×C4—2112no—
2261C22×C4—2128no—
2262C22×C4—256no—
2263C22×C4—2112no—
2264C22×C4—2128no—
2265C22×C4—2256no—
2266C22×C4—2256no—
2267C22×C4—2256no—
2268C22×C4—2256no—
2269C22×C4—2128no—
2270C22×C4—2128no—
2271C22×C4—2128no—
2272C22×C4—2128no—
2273C22×C4—2128no—
2274C22×C4—2128no—
2275C22×C4—2128no—
2276C22×C4—2128no—
2277C22×C4—2256no—
2278C22×C4—464no—
2279C22×C4—464no—
2280C22×C4—464no—
2281C22×C4—464no—
2282C22×C4—464no—
2283C22×C4—41792no—
2284C22×C4—464no—
2285C22×C4—464no—
2286C22×C4—4128no—
2287C22×C4—4128no—
2288C22×C4—4128no—
2289C22×C4—41792no—
2290C22×C4—48192no—
2291C22×C4—43584no—
2292C22×C4—4128no—
2293C22×C4—4128no—
2294C22×C4—41792no—
2295C22×C4—41792no—
2296C22×C4—41792no—
2297C22×C4—41792no—
2298C22×C4—43584no—
2299C22×C4—43584no—
2300C22×C4—4448no—
2301C22×C4—4224no—
2302C22×C4—4448no—
2303C22×C4—4448no—
2304C22×C4—4448no—
2305C22×C4—4224no—
2306C22×C4—4224no—
2307C22×C4—41792no—
2308C22×C4—81792no—
2309C22×C4C2×#5461896yescomplemented
2310C22×C4C24×D41112yes—
2311C22×C4C24×D41112yes—
2312C22×C4C24×D41256yes—
2313C22×C4C24×D41112yes—
2314C22×C4C24×D41112yes—
2315C22×C4C24×D41112yes—
2316C22×C4C24×D41224yes—
2317C22×C4C24×D41112yes—
2318C22×C4C24×D41256yescomplemented
2319C22×C4C24×D41256yescomplemented
2320C22×C4C23×#411112yes—
2321C22×C4C23×#411112yes—
2322C22×C4C23×#411112yes—
2323C22×C4C23×#411112yes—
2324C22×C4C23×#411256yescomplemented
2325C22×C4C22×H(5,𝔽2)1112yes—
2326C22×C4C2718yes—
2327C22×C4C2718yes—
2328C22×C4C2718yes—
2329C22×C4C27116yes—
2330C22×C4C27116yes—
2331C22×C4C27116yes—
2332C22×C4C27116yes—
2333C22×C4C2718yes—
2334C22×C4C2718yes—
2335C22×C4C2718yes—
2336C22×C4C2718yes—
2337C22×C4C2718yes—
2338C22×C4C27116yes—
2339C22×C4C2718yes—
2340C22×C4C2718yes—
2341C22×C4C2718yes—
2342C22×C4C2718yes—
2343C4⋊C4—2256no—
2344C4⋊C4—2128no—
2345C4⋊C4—2256no—
2346C4⋊C4—2256no—
2347C4⋊C4—2128no—
2348C4⋊C4—2256no—
2349C4⋊C4—2256no—
2350C4⋊C4—2256no—
2351C4⋊C4—2128no—
2352C4⋊C4—2128no—
2353C4⋊C4—4128no—
2354C4⋊C4C24×D41256yes—
2355C22⋊C4—2256no—
2356C22⋊C4—2256no—
2357C22⋊C4—2256no—
2358C22⋊C4—2256no—
2359C22⋊C4—2256no—
2360C22⋊C4—2128no—
2361C22⋊C4—2256no—
2362C22⋊C4—2256no—
2363C22⋊C4—2256no—
2364C22⋊C4—2256no—
2365C22⋊C4—2256no—
2366C22⋊C4—2256no—
2367C22⋊C4—2256no—
2368C22⋊C4—2256no—
2369C22⋊C4—2256no—
2370C22⋊C4—2128no—
2371C22⋊C4—2128no—
2372C22⋊C4—2256no—
2373C22⋊C4—2256no—
2374C22⋊C4—2256no—
2375C22⋊C4—4128no—
2376C22⋊C4—4128no—
2377C22⋊C4—4128no—
2378C22⋊C4—4128no—
2379C22⋊C4—4128no—
2380C22⋊C4C24×D41256yes—
2381C22⋊C4C24×D41512yes—
2382C22⋊C4C24×D41256yes—
2383C22⋊C4C24×D41256yescomplemented
2384C22⋊C4C24×D41256yescomplemented
2385C22⋊C4C23×#411256yescomplemented
2386C42—2128no—
2387C42—2128no—
2388C42—2128no—
2389C42—2128no—
2390C42—2256no—
2391C42—2128no—
2392C42—2128no—
2393C42—464no—
2394C42—464no—
2395C23—2224no—
2396C23—2224no—
2397C23—2224no—
2398C23—2224no—
2399C23—2224no—
2400C23—2224no—
2401C23—2224no—
2402C23—2224no—
2403C23—2224no—
2404C23—2224no—
2405C23—2224no—
2406C23—2224no—
2407C23—28no—
2408C23—28no—
2409C23—28no—
2410C23—28no—
2411C23—28no—
2412C23—28no—
2413C23—28no—
2414C23—28no—
2415C23—23584no—
2416C23—23584no—
2417C23—2224no—
2418C23—2512no—
2419C23—2448no—
2420C23—2512no—
2421C23—2224no—
2422C23—2448no—
2423C23—2448no—
2424C23—2224no—
2425C23—216no—
2426C23—28no—
2427C23—28no—
2428C23—216no—
2429C23—28no—
2430C23—216no—
2431C23—216no—
2432C23—28no—
2433C23—216no—
2434C23—28no—
2435C23—216no—
2436C23—28no—
2437C23—216no—
2438C23—216no—
2439C23—216no—
2440C23—216no—
2441C23—216no—
2442C23—216no—
2443C23—216no—
2444C23—216no—
2445C23—216no—
2446C23—216no—
2447C23—216no—
2448C23—216no—
2449C23—216no—
2450C23—216no—
2451C23—4256no—
2452C23—4256no—
2453C23—4256no—
2454C23—4256no—
2455C23—4256no—
2456C23—414336no—
2457C23—4512no—
2458C23—4512no—
2459C23—4512no—
2460C23—4224no—
2461C23—4112no—
2462C23—4112no—
2463C23—4224no—
2464C23—4112no—
2465C23—4224no—
2466C23—4112no—
2467C23—4224no—
2468C23—41792no—
2469C23—43584no—
2470C23—4224no—
2471C23—4224no—
2472C23—4512no—
2473C23—4224no—
2474C23—4224no—
2475C23—4224no—
2476C23—4224no—
2477C23—4224no—
2478C23—4224no—
2479C23—4224no—
2480C23—4224no—
2481C23—4224no—
2482C23—4224no—
2483C23—4224no—
2484C23—4224no—
2485C23—8256no—
2486C23—8256no—
2487C23—8256no—
2488C23—814336no—
2489C23—81792no—
2490C23—81792no—
2491C23#361231512yesdirect product factor
2492C23C22×#5321112yes—
2493C23C22×#5321448yescomplemented
2494C23C22×D421448yes—
2495C23C22×D421112yes—
2496C23C22×#5461112yes—
2497C23C2×D4×#411112yes—
2498C23C2×#34961112yes—
2499C23C2×#35191112yes—
2500C23C2×#34941112yes—
2501C23C25×D4132yes—
2502C23C25×D4116yes—
2503C23C25×D4116yes—
2504C23C25×D4116yes—
2505C23C25×D4116yes—
2506C23C25×D4114yes—
2507C23C25×D4114yes—
2508C23C24×#41116yes—
2509C23C24×#41116yes—
2510C23C24×#41114yes—
2511C23C24×#41114yes—
2512C23C23×H(5,𝔽2)116yes—
2513C23C23×H(5,𝔽2)114yes—
2514C23C23×H(5,𝔽2)114yes—
2515C23C22×#585114yes—
2516C23C2811yescharacteristic
2517Q8—4512no—
2518D4—21024no—
2519D4—2512no—
2520D4—4512no—
2521D4—4512no—
2522D4—4512no—
2523D4—4512no—
2524D4—4512no—
2525D4—4512no—
2526D4—4512no—
2527D4—4512no—
2528D4—4256no—
2529D4—4256no—
2530D4—8256no—
2531D4—8256no—
2532D4—8256no—
2533C2×C4—2224no—
2534C2×C4—2224no—
2535C2×C4—2512no—
2536C2×C4—2448no—
2537C2×C4—2224no—
2538C2×C4—2224no—
2539C2×C4—2224no—
2540C2×C4—2224no—
2541C2×C4—2224no—
2542C2×C4—2224no—
2543C2×C4—28no—
2544C2×C4—28no—
2545C2×C4—28no—
2546C2×C4—216no—
2547C2×C4—28no—
2548C2×C4—28no—
2549C2×C4—28no—
2550C2×C4—28no—
2551C2×C4—28no—
2552C2×C4—28no—
2553C2×C4—28no—
2554C2×C4—28no—
2555C2×C4—28no—
2556C2×C4—28no—
2557C2×C4—216no—
2558C2×C4—28no—
2559C2×C4—28no—
2560C2×C4—28no—
2561C2×C4—2512no—
2562C2×C4—2512no—
2563C2×C4—28no—
2564C2×C4—216no—
2565C2×C4—28no—
2566C2×C4—216no—
2567C2×C4—216no—
2568C2×C4—216no—
2569C2×C4—216no—
2570C2×C4—216no—
2571C2×C4—28no—
2572C2×C4—28no—
2573C2×C4—216no—
2574C2×C4—216no—
2575C2×C4—28no—
2576C2×C4—28no—
2577C2×C4—28no—
2578C2×C4—216no—
2579C2×C4—28no—
2580C2×C4—216no—
2581C2×C4—216no—
2582C2×C4—28no—
2583C2×C4—216no—
2584C2×C4—4256no—
2585C2×C4—4256no—
2586C2×C4—4512no—
2587C2×C4—4256no—
2588C2×C4—4256no—
2589C2×C4—4256no—
2590C2×C4—4256no—
2591C2×C4—4512no—
2592C2×C4—4512no—
2593C2×C4—4224no—
2594C2×C4—4224no—
2595C2×C4—4224no—
2596C2×C4—4112no—
2597C2×C4—4112no—
2598C2×C4—4224no—
2599C2×C4—4112no—
2600C2×C4—4256no—
2601C2×C4—8256no—
2602C2×C4C22×#5461448yescomplemented
2603C2×C4C25×D4116yes—
2604C2×C4C25×D4116yes—
2605C2×C4C25×D4116yes—
2606C2×C4C25×D4116yes—
2607C2×C4C25×D4116yes—
2608C2×C4C25×D4132yes—
2609C2×C4C25×D4116yes—
2610C2×C4C24×#41116yes—
2611C2×C4C24×#41116yes—
2612C2×C4C24×#41116yes—
2613C2×C4C24×#41116yes—
2614C2×C4C23×H(5,𝔽2)116yes—
2615C22—216no—
2616C22—216no—
2617C22—216no—
2618C22—216no—
2619C22—216no—
2620C22—216no—
2621C22—216no—
2622C22—2896no—
2623C22—2896no—
2624C22—216no—
2625C22—216no—
2626C22—216no—
2627C22—216no—
2628C22—216no—
2629C22—232no—
2630C22—216no—
2631C22—232no—
2632C22—216no—
2633C22—216no—
2634C22—232no—
2635C22—41024no—
2636C22—48no—
2637C22—416no—
2638C22—48no—
2639C22—416no—
2640C22—48no—
2641C22—4448no—
2642C22—4896no—
2643C22—416no—
2644C22—416no—
2645C22—48no—
2646C22—416no—
2647C22—416no—
2648C22—416no—
2649C22—416no—
2650C22—416no—
2651C22—416no—
2652C22—416no—
2653C22—416no—
2654C22—416no—
2655C22—416no—
2656C22—416no—
2657C22—416no—
2658C22—416no—
2659C22—416no—
2660C22—81024no—
2661C22—8448no—
2662C22—8448no—
2663C22C2×#361231448yesdirect product factor
2664C22C23×#532128yes—
2665C22C23×#532132yescomplemented
2666C22C23×D42132yes—
2667C22C23×D42128yes—
2668C22C23×#546128yes—
2669C22C22×D4×#41128yes—
2670C22C22×#3496128yes—
2671C22C22×#3519128yes—
2672C22C22×#3494128yes—
2673C22C26×D411yescharacteristic
2674C22C26×D411yescharacteristic
2675C22C25×#4111yescharacteristic
2676C22C25×#4111yescharacteristic
2677C22C24×H(5,𝔽2)11yescharacteristic
2678C22C24×H(5,𝔽2)11yescharacteristic
2679C22C23×#58511yescharacteristic
2680C4—216no—
2681C4—216no—
2682C4—232no—
2683C4—216no—
2684C4—216no—
2685C4—216no—
2686C4—216no—
2687C4—216no—
2688C4—216no—
2689C4—416no—
2690C4—416no—
2691C4—48no—
2692C4—48no—
2693C4—416no—
2694C4—416no—
2695C4—48no—
2696C4C23×#546132yescomplemented
2697C2—232no—
2698C2—232no—
2699C2—416no—
2700C2—432no—
2701C2—816no—
2702C2—816no—
2703C2C24×D4211yescharacteristic
2704C2C23×D4×#4111yescharacteristic
2705C2C23×#349611yescharacteristic
2706C2C24×#54611yescharacteristic
2707C2C22×#36123156yesdirect product factor
2708C2C23×#351911yescharacteristic
2709C2C24×#53211yescharacteristic
2710C2C23×#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×#2440C2semidirect
2. C23×#2422C2semidirect
3. C23×#2491C2semidirect
4. C23×#2854C2semidirect
5. C24×#532C2semidirect
6. C24×C4×C22⋊C4C2semidirect
7. C23×#2361C2semidirect
8. C23×#2464C2semidirect
9. C23×#2472C2semidirect
10. C23×#2555C2semidirect
11. C23×#2543C2semidirect
12. C23×#2856C2semidirect
13. C23×#2428C2semidirect
14. C23×#2428C2semidirect
15. C25×#121C2semidirect
16. C23×C4×#121C2semidirect
17. C22×#36123C2direct (N × H)
18. C23×#2430C2semidirect
19. C23×#2358C2semidirect
20. C24×#546C2semidirect
21. C23×D4×C22⋊C4C2semidirect
22. C23×#2847C2semidirect
23. C23×#2433C2semidirect
24. C23×#2410C2semidirect
25. C25×#41C22semidirect
30. C23×#546C22semidirect
32. C23×#532C22semidirect
33. C24×C4⋊Q8C22semidirect
34. C24×#127C22semidirect
35. C24×#127C22semidirect
36. C24×#124C22semidirect
37. C24×#124C22semidirect
38. C24×#123C22semidirect
39. C24×#123C22semidirect
49. C24×#121C22semidirect
50. C24×#121C22semidirect
51. C24×#121C22semidirect
52. C24×#121C22semidirect
53. C24×#121C22semidirect
54. C24×#121C22semidirect
55. C24×#121C22semidirect
56. C24×#121C22semidirect
61. C24×C4×D4C22semidirect
62. C24×C4×D4C22semidirect
63. C24×C4×D4C22semidirect
64. C24×C4×D4C22semidirect
65. C24×C4×D4C22semidirect
71. C25×C42C22semidirect
72. C25×C42C22semidirect
73. C22×#2856C22semidirect
74. C22×#2854C22semidirect
75. C22×#2847C22semidirect
76. C2×#36123C22direct (N × H)
77. C22×#2555C22semidirect
78. C22×#2543C22semidirect
79. C22×#2491C22semidirect
80. C22×#2430C22semidirect
81. C22×#2428C22semidirect
82. C22×#2428C22semidirect
83. C22×#2422C22semidirect
84. C22×#2464C22semidirect
85. C22×#2440C22semidirect
86. C22×#2433C22semidirect
87. C22×#2472C22semidirect
88. C22×#2410C22semidirect
89. C23×#398C22semidirect
90. C23×#397C22semidirect
91. C23×#395C22semidirect
92. C23×#394C22semidirect
93. C23×#394C22semidirect
94. C23×#394C22semidirect
95. C23×#394C22semidirect
96. C23×#393C22semidirect
97. C23×#392C22semidirect
98. C23×#392C22semidirect
99. C23×#392C22semidirect
100. C23×#392C22semidirect
101. C22×#2361C22semidirect
102. C22×#2358C22semidirect
103. C22×D4×C22⋊C4C22semidirect
104. C22×C4×#121C22semidirect
105. C23×#390C22semidirect
106. C23×#390C22semidirect
107. C23×#390C22semidirect
108. C23×#390C22semidirect
109. C23×#390C22semidirect
110. C23×#390C22semidirect
111. C23×#390C22semidirect
112. C23×#389C22semidirect
113. C23×#389C22semidirect
114. C23×#389C22semidirect
115. C23×#388C22semidirect
116. C23×#388C22semidirect
117. C23×#388C22semidirect
118. C23×#388C22semidirect
119. C23×#388C22semidirect
122. C23×#386C22semidirect
123. C23×#386C22semidirect
124. C23×#386C22semidirect
125. C23×#386C22semidirect
126. C23×#386C22semidirect
127. C23×#386C22semidirect
128. C23×#386C22semidirect
129. C23×#386C22semidirect
131. C23×#385C22semidirect
132. C23×#385C22semidirect
133. C23×#384C22semidirect
135. C23×#380C22semidirect
136. C23×#380C22semidirect
138. C23×C4×C4⋊C4C22semidirect
143. C23×C4×C22⋊C4C22semidirect
144. C23×C4×C22⋊C4C22semidirect
145. C23×C4×C22⋊C4C22semidirect
146. C23×C4×C22⋊C4C22semidirect
147. C23×C4×C22⋊C4C22semidirect
148. C23×C4×C22⋊C4C22semidirect
149. C24×#95C22semidirect
150. C24×#95C22semidirect
156. C24×#41C23semidirect
200. C22×#546C23semidirect
202. C22×#532C23semidirect
204. C23×C4⋊Q8C23semidirect
207. C23×#127C23semidirect
208. C23×#127C23semidirect
211. C23×#124C23semidirect
212. C23×#124C23semidirect
215. C23×#123C23semidirect
216. C23×#123C23semidirect
233. C23×#121D4semidirect
241. C23×#121C23semidirect
242. C23×#121C23semidirect
243. C23×#121C23semidirect
244. C23×#121C23semidirect
245. C23×#121C23semidirect
246. C23×#121C23semidirect
247. C23×#121C23semidirect
248. C23×#121C23semidirect
262. C23×C4×D4C23semidirect
263. C23×C4×D4C23semidirect
264. C23×C4×D4C23semidirect
265. C23×C4×D4C23semidirect
266. C23×C4×D4C23semidirect
284. C24×C22⋊C4D4semidirect
331. C24×C42C23semidirect
332. C24×C42C23semidirect
333. C2×#2856C23semidirect
334. C2×#2854C23semidirect
335. C2×#2847C23semidirect
336. #36123C23direct (N × H)
337. C2×#2555C23semidirect
338. C2×#2543C23semidirect
339. C2×#2491C23semidirect
340. C2×#2430C23semidirect
341. C2×#2428C23semidirect
342. C2×#2428C23semidirect
343. C2×#2422C23semidirect
344. C2×#2464C23semidirect
345. C2×#2440C23semidirect
346. C2×#2433C23semidirect
347. C2×#2472C23semidirect
348. C2×#2410C23semidirect
349. C22×#398C23semidirect
350. C22×#397C23semidirect
351. C22×#395C23semidirect
352. C22×#394C23semidirect
353. C22×#394C23semidirect
354. C22×#394C23semidirect
355. C22×#394C23semidirect
356. C22×#393C23semidirect
357. C22×#392C23semidirect
358. C22×#392C23semidirect
359. C22×#392C23semidirect
360. C22×#392C23semidirect
361. C2×#2361C23semidirect
362. C2×#2358C23semidirect
363. C2×D4×C22⋊C4C23semidirect
364. C2×C4×#121C23semidirect
365. C22×#390C23semidirect
366. C22×#390C23semidirect
367. C22×#390C23semidirect
368. C22×#390C23semidirect
369. C22×#390C23semidirect
370. C22×#390C23semidirect
371. C22×#390C23semidirect
372. C22×#389C23semidirect
373. C22×#389C23semidirect
374. C22×#389C23semidirect
375. C22×#388C23semidirect
376. C22×#388C23semidirect
377. C22×#388C23semidirect
378. C22×#388C23semidirect
379. C22×#388C23semidirect
382. C22×#386C23semidirect
383. C22×#386C23semidirect
384. C22×#386C23semidirect
385. C22×#386C23semidirect
386. C22×#386C23semidirect
387. C22×#386C23semidirect
388. C22×#386C23semidirect
389. C22×#386C23semidirect
391. C22×#385C23semidirect
392. C22×#385C23semidirect
393. C22×#384C23semidirect
395. C22×#380C23semidirect
396. C22×#380C23semidirect
398. C22×C4×C4⋊C4C23semidirect
403. C22×C4×C22⋊C4C23semidirect
404. C22×C4×C22⋊C4C23semidirect
405. C22×C4×C22⋊C4C23semidirect
406. C22×C4×C22⋊C4C23semidirect
407. C22×C4×C22⋊C4C23semidirect
408. C22×C4×C22⋊C4C23semidirect
424. C23×#95C23semidirect
425. C23×#95C23semidirect
452. C23×#41C24semidirect
570. C25×C4C2×D4semidirect
571. C25×C4C2×D4semidirect
572. C25×C4#41semidirect
606. C2×#546C24semidirect
608. C2×#532C24semidirect
610. C22×C4⋊Q8C24semidirect
613. C22×#127C24semidirect
614. C22×#127C24semidirect
617. C22×#124C24semidirect
618. C22×#124C24semidirect
621. C22×#123C24semidirect
622. C22×#123C24semidirect
639. C22×#121C2×D4semidirect
647. C22×#121C24semidirect
648. C22×#121C24semidirect
649. C22×#121C24semidirect
650. C22×#121C24semidirect
651. C22×#121C24semidirect
652. C22×#121C24semidirect
653. C22×#121C24semidirect
654. C22×#121C24semidirect
668. C22×C4×D4C24semidirect
669. C22×C4×D4C24semidirect
670. C22×C4×D4C24semidirect
671. C22×C4×D4C24semidirect
672. C22×C4×D4C24semidirect
730. C23×C22⋊C4C2×D4semidirect
731. C23×C22⋊C4C2×D4semidirect
732. C23×C22⋊C4C2×D4semidirect
733. C23×C22⋊C4#41semidirect
789. C23×C42C24semidirect
790. C23×C42C24semidirect
791. #2856C24semidirect
792. #2854C24semidirect
793. #2847C24semidirect
794. #2555C24semidirect
795. #2543C24semidirect
796. #2491C24semidirect
797. #2472C24semidirect
798. #2464C24semidirect
799. #2440C24semidirect
800. #2433C24semidirect
801. #2430C24semidirect
802. #2428C24semidirect
803. #2428C24semidirect
804. #2422C24semidirect
805. #2410C24semidirect
806. C2×#398C24semidirect
807. C2×#397C24semidirect
808. C2×#395C24semidirect
809. C2×#394C24semidirect
810. C2×#394C24semidirect
811. C2×#394C24semidirect
812. C2×#394C24semidirect
813. C2×#393C24semidirect
814. C2×#392C24semidirect
815. C2×#392C24semidirect
816. C2×#392C24semidirect
817. C2×#392C24semidirect
818. #2361C24semidirect
819. #2358C24semidirect
820. D4×C22⋊C4C24semidirect
821. C4×#121C24semidirect
822. C2×#390C24semidirect
823. C2×#390C24semidirect
824. C2×#390C24semidirect
825. C2×#390C24semidirect
826. C2×#390C24semidirect
827. C2×#390C24semidirect
828. C2×#390C24semidirect
829. C2×#389C24semidirect
830. C2×#389C24semidirect
831. C2×#389C24semidirect
832. C2×#388C24semidirect
833. C2×#388C24semidirect
834. C2×#388C24semidirect
835. C2×#388C24semidirect
836. C2×#388C24semidirect
839. C2×#386C24semidirect
840. C2×#386C24semidirect
841. C2×#386C24semidirect
842. C2×#386C24semidirect
843. C2×#386C24semidirect
844. C2×#386C24semidirect
845. C2×#386C24semidirect
846. C2×#386C24semidirect
848. C2×#385C24semidirect
849. C2×#385C24semidirect
850. C2×#384C24semidirect
852. C2×#380C24semidirect
853. C2×#380C24semidirect
855. C2×C4×C4⋊C4C24semidirect
860. C2×C4×C22⋊C4C24semidirect
861. C2×C4×C22⋊C4C24semidirect
862. C2×C4×C22⋊C4C24semidirect
863. C2×C4×C22⋊C4C24semidirect
864. C2×C4×C22⋊C4C24semidirect
865. C2×C4×C22⋊C4C24semidirect
881. C22×#95C24semidirect
882. C22×#95C24semidirect
966. C22×#41C25semidirect
1160. C24×C4C22×D4semidirect
1161. C24×C4C22×D4semidirect
1166. C24×C4C2×#41semidirect
1203. C2×C4⋊Q8C25semidirect
1206. C2×#127C25semidirect
1207. C2×#127C25semidirect
1210. C2×#124C25semidirect
1211. C2×#124C25semidirect
1214. C2×#123C25semidirect
1215. C2×#123C25semidirect
1232. C2×#121C22×D4semidirect
1240. C2×#121C25semidirect
1241. C2×#121C25semidirect
1242. C2×#121C25semidirect
1243. C2×#121C25semidirect
1244. C2×#121C25semidirect
1245. C2×#121C25semidirect
1246. C2×#121C25semidirect
1260. C2×C4×D4C25semidirect
1261. C2×C4×D4C25semidirect
1262. C2×C4×D4C25semidirect
1263. C2×C4×D4C25semidirect
1264. C2×C4×D4C25semidirect
1322. C22×C22⋊C4C22×D4semidirect
1323. C22×C22⋊C4C22×D4semidirect
1324. C22×C22⋊C4C22×D4semidirect
1325. C22×C22⋊C4C2×#41semidirect
1381. C22×C42C25semidirect
1382. C22×C42C25semidirect
1383. #398C25semidirect
1384. #397C25semidirect
1385. #395C25semidirect
1386. #394C25semidirect
1387. #394C25semidirect
1388. #394C25semidirect
1389. #394C25semidirect
1390. #393C25semidirect
1391. #392C25semidirect
1392. #392C25semidirect
1393. #392C25semidirect
1394. #392C25semidirect
1395. #390C25semidirect
1396. #390C25semidirect
1397. #390C25semidirect
1398. #390C25semidirect
1399. #390C25semidirect
1400. #390C25semidirect
1401. #390C25semidirect
1402. #389C25semidirect
1403. #389C25semidirect
1404. #389C25semidirect
1405. #388C25semidirect
1406. #388C25semidirect
1407. #388C25semidirect
1408. #388C25semidirect
1409. #388C25semidirect
1412. #386C25semidirect
1413. #386C25semidirect
1414. #386C25semidirect
1415. #386C25semidirect
1416. #386C25semidirect
1417. #386C25semidirect
1418. #386C25semidirect
1419. #386C25semidirect
1421. #385C25semidirect
1422. #385C25semidirect
1423. #384C25semidirect
1425. #380C25semidirect
1426. #380C25semidirect
1428. C4×C4⋊C4C25semidirect
1433. C4×C22⋊C4C25semidirect
1434. C4×C22⋊C4C25semidirect
1435. C4×C22⋊C4C25semidirect
1436. C4×C22⋊C4C25semidirect
1437. C4×C22⋊C4C25semidirect
1453. C2×#95C25semidirect
1454. C2×#95C25semidirect
1558. C25#532semidirect
1788. C23×C4#546semidirect
1797. C23×C4C23×D4semidirect
1798. C23×C4C23×D4semidirect
1803. C23×C4C22×#41semidirect
1857. #121C23×D4semidirect
1923. C2×C22⋊C4C23×D4semidirect
1924. C2×C22⋊C4C23×D4semidirect
1925. C2×C22⋊C4C23×D4semidirect
1926. C2×C22⋊C4C22×#41semidirect
2103. C24C2×#532semidirect
2309. C22×C4C2×#546semidirect
2318. C22×C4C24×D4semidirect
2319. C22×C4C24×D4semidirect
2324. C22×C4C23×#41semidirect
2383. C22⋊C4C24×D4semidirect
2384. C22⋊C4C24×D4semidirect
2385. C22⋊C4C23×#41semidirect
2491. C23#36123direct (N × H)
2493. C23C22×#532semidirect
2602. C2×C4C22×#546semidirect
2663. C22C2×#36123direct (N × H)
2665. C22C23×#532semidirect
2696. C4C23×#546semidirect
2707. C2C22×#36123direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#24402
C23×#24222
C23×#24912
C23×#28542
C24×#5322
C24×C4×C22⋊C42
C23×#23612
C23×#24642
C23×#24722
C23×#25552
C23×#25432
C23×#28562
C23×#24282
C25×#1212
C23×C4×#1212
C22×#361232
C23×#24302
C23×#23582
C24×#5462
C23×D4×C22⋊C42
C23×#28472
C23×#24332
C23×#24102