Finite Group Databasebeta

← C22×#37833 #72296004

Subgroups — C22×#37833 #72296004

Order 1024.

203177 conjugacy classes of subgroups.

The subgroup lattice has 2010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#551C211yesmaximal, characteristic, complemented
2C24×#120C211yesmaximal, characteristic, complemented
3C2×#37833C2196yesmaximal, direct product factor
4C22×#2670C212yesmaximal, complemented
5C22×#2685C212yesmaximal, complemented
6C22×#2685C212yesmaximal, complemented
7C22×#2678C212yesmaximal, complemented
8C22×#2846C211yesmaximal, characteristic, complemented
9C22×#2539C212yesmaximal, complemented
10C22×#2482C211yesmaximal, characteristic, complemented
11C22×#2411C211yesmaximal, characteristic, complemented
12C22×#2411C212yesmaximal, complemented
13C22×#2435C211yesmaximal, characteristic, complemented
14C22×#2408C211yesmaximal, characteristic, complemented
15C22×#2472C212yesmaximal, complemented
16C22×#2405C211yesmaximal, characteristic, complemented
17C22×#2424C212yesmaximal, complemented
18C22×#2410C211yesmaximal, characteristic, complemented
19C22×#2626C211yesmaximal, characteristic, complemented
20C22×#2613C211yesmaximal, characteristic, complemented
21C22×#2342C211yesmaximal, characteristic, complemented
22C22×#2321C211yesmaximal, characteristic, complemented
23C22×#2309C211yesmaximal, characteristic, complemented
24C23×#379C211yesmaximal, characteristic, complemented
25C28C2211yescharacteristic
26C25×D4C2211yescharacteristic
27C25×D4C2211yescharacteristic
28C25×D4C2211yescharacteristic
29C22×#551—232no—
30C22×#551C22148yescomplemented
31C23×#126C2211yescharacteristic, complemented
32C23×#126C2211yescharacteristic, complemented
33C23×#124C2211yescharacteristic, complemented
34C23×#124C2212yescomplemented
35C23×#123C2211yescharacteristic, complemented
36C23×#123C2211yescharacteristic, complemented
37C23×#123C2212yescomplemented
38C23×#123C2211yescharacteristic, complemented
39C23×C22⋊Q8C2211yescharacteristic, complemented
40C23×C22⋊Q8C2211yescharacteristic, complemented
41C23×#121C2212yescomplemented
42C23×#121C2212yescomplemented
43C23×#120—232no—
44C23×#120C2212yes—
45C23×#120C2212yes—
46C23×#120C2212yes—
47C23×#120C2212yes—
48C23×#120C2211yescharacteristic
49C23×#120C2211yescharacteristic
50C23×#120C2211yescharacteristic
51C23×#120C22148yescomplemented
52C23×#120C2212yescomplemented
53C23×#120C2212yescomplemented
54C23×#120C2211yescharacteristic, complemented
55C23×C4×D4C2211yescharacteristic, complemented
56C23×C4×D4C2211yescharacteristic, complemented
57C23×#117C2211yescharacteristic, complemented
58C23×#117C2211yescharacteristic, complemented
59C23×#117C2211yescharacteristic, complemented
60C24×C22⋊C4C2211yescharacteristic
61C24×C22⋊C4C2211yescharacteristic
62C24×C22⋊C4C2211yescharacteristic
63C24×C22⋊C4C2211yescharacteristic
64C24×C22⋊C4C2211yescharacteristic
65C24×C22⋊C4C2212yescomplemented
66C24×C22⋊C4C2212yescomplemented
67C2×#2685C22196yescomplemented
68C2×#2685C22196yescomplemented
69C2×#2678C22196yescomplemented
70C2×#2670C22196yescomplemented
71#37833C2211024yesdirect product factor
72C2×#2846C22148yescomplemented
73C2×#2539C22196yescomplemented
74C2×#2482C22148yescomplemented
75C2×#2411C22148yescomplemented
76C2×#2411C22196yescomplemented
77C2×#2435C22148yescomplemented
78C2×#2408C22148yescomplemented
79C2×#2472C22196yescomplemented
80C2×#2405C22148yescomplemented
81C2×#2424C22196yescomplemented
82C2×#2410C22148yescomplemented
83C2×#2626C22148yescomplemented
84C2×#2613C22148yescomplemented
85C22×#399C2212yescomplemented
86C22×#399C2212yescomplemented
87C22×#397C2212yescomplemented
88C22×#396C2212yescomplemented
89C22×#396C2212yescomplemented
90C22×#396C2212yescomplemented
91C22×#394C2212yescomplemented
92C22×#394C2212yescomplemented
93C22×#394C2212yescomplemented
94C22×#394C2212yescomplemented
95C22×#394C2212yescomplemented
96C22×#394C2212yescomplemented
97C22×#394C2212yescomplemented
98C22×#394C2212yescomplemented
99C22×#394C2212yescomplemented
100C22×#393C2212yescomplemented
101C22×#392C2212yescomplemented
102C22×#392C2212yescomplemented
103C22×#392C2212yescomplemented
104C22×#392C2212yescomplemented
105C2×#2342C22148yescomplemented
106C2×#2321C22148yescomplemented
107C2×#2309C22148yescomplemented
108C22×#390C2212yescomplemented
109C22×#390C2212yescomplemented
110C22×#390C2212yescomplemented
111C22×#390C2212yescomplemented
112C22×#390C2212yescomplemented
113C22×#390C2212yescomplemented
114C22×#390C2212yescomplemented
115C22×#390C2212yescomplemented
116C22×#388C2212yescomplemented
117C22×#388C2212yescomplemented
118C22×#388C2212yescomplemented
119C22×#388C2212yescomplemented
120C22×#388C2212yescomplemented
121C22×#388C2212yescomplemented
122C22×#388C2212yescomplemented
123C22×#386C2212yescomplemented
124C22×#386C2211yescharacteristic, complemented
125C22×#386C2212yescomplemented
126C22×#386C2212yescomplemented
127C22×#385C2211yescharacteristic, complemented
128C22×#385C2212yescomplemented
129C22×#385C2211yescharacteristic, complemented
130C22×#385C2211yescharacteristic, complemented
131C22×#381C2211yescharacteristic, complemented
132C22×#380C2211yescharacteristic, complemented
133C22×#379C2211yescharacteristic
134C22×#379C2211yescharacteristic
135C22×#379C2211yescharacteristic
136C22×#379C2211yescharacteristic
137C22×#379C2211yescharacteristic
138C22×#379C2211yescharacteristic
139C22×#379C2211yescharacteristic
140C22×#379C2212yescomplemented
141C22×#379C2212yescomplemented
142C22×#379C2212yescomplemented
143C22×#379C2212yescomplemented
144C22×#379C22148yescomplemented
145C22×#379C2211yescharacteristic, complemented
146C22×#379C2211yescharacteristic, complemented
147C22×#379C2211yescharacteristic, complemented
148C22×C4×C22⋊C4C2212yescomplemented
149C22×C4×C22⋊C4C2211yescharacteristic, complemented
150C27—216no—
151C27—216no—
152C27—48no—
153C27—416no—
154C27—416no—
155C27C2311yescharacteristic
156C27C2312yes—
157C27C2311yescharacteristic
158C27C2311yescharacteristic
159C27C2312yes—
160C27C23124yes—
161C27C2311yescharacteristic
162C24×Q8C2311yescharacteristic, complemented
163C24×D4—216no—
164C24×D4—216no—
165C24×D4—216no—
166C24×D4—216no—
167C24×D4—48no—
168C24×D4—416no—
169C24×D4—416no—
170C24×D4C2312yes—
171C24×D4C2311yescharacteristic
172C24×D4C2311yescharacteristic
173C24×D4C2312yes—
174C24×D4C2312yes—
175C24×D4C2312yes—
176C24×D4C2312yes—
177C24×D4C23124yes—
178C24×D4C23124yes—
179C24×D4C23124yes—
180C24×D4C2312yes—
181C24×D4C2312yes—
182C24×D4C2311yescharacteristic
183C24×D4C2312yes—
184C24×D4C2312yescomplemented
185C25×C4C2311yescharacteristic
186C25×C4C2311yescharacteristic
187C25×C4C2311yescharacteristic
188C25×C4C2311yescharacteristic
189C25×C4C2312yes—
190C25×C4C2311yescharacteristic
191C25×C4C2311yescharacteristic, complemented
192C2×#551—2768no—
193C2×#551C231256yescomplemented
194C22×#126—216no—
195C22×#126—216no—
196C22×#126C23124yescomplemented
197C22×#126C23124yescomplemented
198C22×#124—216no—
199C22×#124—416no—
200C22×#124C23124yescomplemented
201C22×#124C23148yescomplemented
202C22×#123—216no—
203C22×#123—216no—
204C22×#123—216no—
205C22×#123—416no—
206C22×#123C23124yescomplemented
207C22×#123C23124yescomplemented
208C22×#123C23124yescomplemented
209C22×#123C23148yescomplemented
210C22×C22⋊Q8—216no—
211C22×C22⋊Q8—216no—
212C22×C22⋊Q8C23124yescomplemented
213C22×C22⋊Q8C23124yescomplemented
214C22×#121—416no—
215C22×#121—416no—
216C22×#121C23148yescomplemented
217C22×#121C23148yescomplemented
218C22×#120—216no—
219C22×#120—216no—
220C22×#120—232no—
221C22×#120—232no—
222C22×#120—232no—
223C22×#120—232no—
224C22×#120—2768no—
225C22×#120—48no—
226C22×#120—48no—
227C22×#120—416no—
228C22×#120—416no—
229C22×#120C23124yes—
230C22×#120C23124yes—
231C22×#120C23148yes—
232C22×#120C23148yes—
233C22×#120C23148yes—
234C22×#120C23148yes—
235C22×#120C23124yes—
236C22×#120C231256yescomplemented
237C22×#120C23148yescomplemented
238C22×#120C23148yescomplemented
239C22×#120C23124yescomplemented
240C22×C4×D4—216no—
241C22×C4×D4—216no—
242C22×C4×D4C23124yescomplemented
243C22×C4×D4C23124yescomplemented
244C22×#117—216no—
245C22×#117—216no—
246C22×#117—48no—
247C22×#117C23124yescomplemented
248C22×#117C23124yescomplemented
249C22×#117C23124yescomplemented
250C23×C4⋊C4C2311yescharacteristic, complemented
251C23×C4⋊C4C2311yescharacteristic, complemented
252C23×C4⋊C4C2311yescharacteristic, complemented
253C23×C4⋊C4C2311yescharacteristic, complemented
254C23×C4⋊C4C2311yescharacteristic, complemented
255C23×C4⋊C4C2311yescharacteristic, complemented
256C23×C4⋊C4C2311yescharacteristic, complemented
257C23×C4⋊C4C2311yescharacteristic, complemented
258C23×C4⋊C4C2312yescomplemented
259C23×C4⋊C4C2312yescomplemented
260C23×C4⋊C4C2312yescomplemented
261C23×C4⋊C4C2312yescomplemented
262C23×C4⋊C4C2312yescomplemented
263C23×C22⋊C4—216no—
264C23×C22⋊C4—216no—
265C23×C22⋊C4—216no—
266C23×C22⋊C4—48no—
267C23×C22⋊C4—416no—
268C23×C22⋊C4—416no—
269C23×C22⋊C4D4132yescomplemented
270C23×C22⋊C4C23124yes—
271C23×C22⋊C4C23124yes—
272C23×C22⋊C4C23124yes—
273C23×C22⋊C4C2311yescharacteristic
274C23×C22⋊C4C2311yescharacteristic
275C23×C22⋊C4C2312yes—
276C23×C22⋊C4C2312yes—
277C23×C22⋊C4C2312yes—
278C23×C22⋊C4C2312yes—
279C23×C22⋊C4C2311yescharacteristic
280C23×C22⋊C4C2311yescharacteristic
281C23×C22⋊C4C2311yescharacteristic
282C23×C22⋊C4C2311yescharacteristic
283C23×C22⋊C4C2312yes—
284C23×C22⋊C4C2312yes—
285C23×C22⋊C4C2311yescharacteristic
286C23×C22⋊C4C2311yescharacteristic
287C23×C22⋊C4C2311yescharacteristic
288C23×C22⋊C4C2311yescharacteristic
289C23×C22⋊C4C2311yescharacteristic
290C23×C22⋊C4C2312yes—
291C23×C22⋊C4C2312yes—
292C23×C22⋊C4C2312yes—
293C23×C22⋊C4C23124yes—
294C23×C22⋊C4C2312yes—
295C23×C22⋊C4C2312yes—
296C23×C22⋊C4C2312yes—
297C23×C22⋊C4C2312yes—
298C23×C22⋊C4C2312yes—
299C23×C22⋊C4C2312yes—
300C23×C22⋊C4C2312yes—
301C23×C22⋊C4C2312yes—
302C23×C22⋊C4C2312yes—
303C23×C22⋊C4C2312yes—
304C23×C22⋊C4C2312yes—
305C23×C22⋊C4C2312yes—
306C23×C22⋊C4C2311yescharacteristic
307C23×C22⋊C4C2311yescharacteristic
308C23×C22⋊C4C2311yescharacteristic
309C23×C22⋊C4C2311yescharacteristic
310C23×C22⋊C4C23124yes—
311C23×C22⋊C4C2311yescharacteristic, complemented
312C23×C22⋊C4C2311yescharacteristic, complemented
313C23×C22⋊C4C2311yescharacteristic, complemented
314C23×C22⋊C4C23148yescomplemented
315C23×C22⋊C4C23148yescomplemented
316C23×C22⋊C4C2312yescomplemented
317C23×C22⋊C4C2312yescomplemented
318C23×C22⋊C4C2312yescomplemented
319C23×C22⋊C4C2312yescomplemented
320C23×C22⋊C4C2312yescomplemented
321C23×C22⋊C4C2312yescomplemented
322C23×C22⋊C4C2312yescomplemented
323C23×C22⋊C4C2312yescomplemented
324C23×C42C2311yescharacteristic, complemented
325C23×C42C2311yescharacteristic, complemented
326C23×C42C2311yescharacteristic, complemented
327C23×C42C2312yescomplemented
328C23×C42C2312yescomplemented
329#2846C231256yescomplemented
330#2685C231512yescomplemented
331#2685C231512yescomplemented
332#2678C231512yescomplemented
333#2670C231512yescomplemented
334#2626C231256yescomplemented
335#2613C231256yescomplemented
336#2539C231512yescomplemented
337#2482C231256yescomplemented
338#2472C231512yescomplemented
339#2435C231256yescomplemented
340#2424C231512yescomplemented
341#2411C231256yescomplemented
342#2411C231512yescomplemented
343#2410C231256yescomplemented
344#2408C231256yescomplemented
345#2405C231256yescomplemented
346C2×#399C23148yescomplemented
347C2×#399C23148yescomplemented
348C2×#397C23148yescomplemented
349C2×#396C23148yescomplemented
350C2×#396C23148yescomplemented
351C2×#396C23148yescomplemented
352C2×#394C23148yescomplemented
353C2×#394C23148yescomplemented
354C2×#394C23148yescomplemented
355C2×#394C23148yescomplemented
356C2×#394C23148yescomplemented
357C2×#394C23148yescomplemented
358C2×#394C23148yescomplemented
359C2×#394C23148yescomplemented
360C2×#394C23148yescomplemented
361C2×#393C23148yescomplemented
362C2×#392C23148yescomplemented
363C2×#392C23148yescomplemented
364C2×#392C23148yescomplemented
365C2×#392C23148yescomplemented
366#2342C231256yescomplemented
367#2321C231256yescomplemented
368#2309C231256yescomplemented
369C2×#390C23148yescomplemented
370C2×#390C23148yescomplemented
371C2×#390C23148yescomplemented
372C2×#390C23148yescomplemented
373C2×#390C23148yescomplemented
374C2×#390C23148yescomplemented
375C2×#390C23148yescomplemented
376C2×#390C23148yescomplemented
377C2×#388C23148yescomplemented
378C2×#388C23148yescomplemented
379C2×#388C23148yescomplemented
380C2×#388C23148yescomplemented
381C2×#388C23148yescomplemented
382C2×#388C23148yescomplemented
383C2×#388C23148yescomplemented
384C2×#386C23148yescomplemented
385C2×#386C23124yescomplemented
386C2×#386C23148yescomplemented
387C2×#386C23148yescomplemented
388C2×#385C23124yescomplemented
389C2×#385C23148yescomplemented
390C2×#385C23124yescomplemented
391C2×#385C23124yescomplemented
392C2×#381C23124yescomplemented
393C2×#380C23124yescomplemented
394C2×#379C23124yes—
395C2×#379C23124yes—
396C2×#379C23124yes—
397C2×#379C23124yes—
398C2×#379C23124yes—
399C2×#379C23124yes—
400C2×#379C23124yes—
401C2×#379C23148yescomplemented
402C2×#379C23148yescomplemented
403C2×#379C23148yescomplemented
404C2×#379C23148yescomplemented
405C2×#379C231256yescomplemented
406C2×#379C23124yescomplemented
407C2×#379C23124yescomplemented
408C2×#379C23124yescomplemented
409C2×C4×C22⋊C4C23148yescomplemented
410C2×C4×C22⋊C4C23124yescomplemented
411C22×#95C2312yescomplemented
412C22×#95C2312yescomplemented
413C22×#95C2312yescomplemented
414C22×#95C2312yescomplemented
415C22×#95C2312yescomplemented
416C22×#95C2312yescomplemented
417C22×#95C2312yescomplemented
418C22×#95C2312yescomplemented
419C26—28no—
420C26—28no—
421C26—216no—
422C26—28no—
423C26—216no—
424C26—216no—
425C26—28no—
426C26—216no—
427C26—28no—
428C26—216no—
429C26—28no—
430C26—216no—
431C26—216no—
432C26—2192no—
433C26—2192no—
434C26—216no—
435C26—28no—
436C26—216no—
437C26—216no—
438C26—28no—
439C26—28no—
440C26—28no—
441C26—48no—
442C26—48no—
443C26—48no—
444C26—48no—
445C26—48no—
446C26—48no—
447C26—48no—
448C26—48no—
449C26—48no—
450C26—48no—
451C26—496no—
452C26—4192no—
453C26—4192no—
454C26—48no—
455C26—48no—
456C26—4256no—
457C26—4256no—
458C26—4512no—
459C26—4256no—
460C26—4512no—
461C26C2×D4116yes—
462C26#41116yes—
463C26C2411yescharacteristic
464C26C2412yes—
465C26C2411yescharacteristic
466C26C2412yes—
467C26C2412yes—
468C26C24112yes—
469C26C24124yes—
470C26C24112yes—
471C26C2411yescharacteristic
472C26C2411yescharacteristic
473C26C24112yes—
474C26C24124yes—
475C26C24164yes—
476C26C24112yes—
477C23×Q8—28no—
478C23×Q8—48no—
479C23×Q8C24112yescomplemented
480C23×D4—216no—
481C23×D4—2192no—
482C23×D4—216no—
483C23×D4—28no—
484C23×D4—28no—
485C23×D4—216no—
486C23×D4—216no—
487C23×D4—2192no—
488C23×D4—28no—
489C23×D4—216no—
490C23×D4—216no—
491C23×D4—216no—
492C23×D4—216no—
493C23×D4—28no—
494C23×D4—216no—
495C23×D4—28no—
496C23×D4—216no—
497C23×D4—216no—
498C23×D4—216no—
499C23×D4—216no—
500C23×D4—216no—
501C23×D4—216no—
502C23×D4—2192no—
503C23×D4—2192no—
504C23×D4—48no—
505C23×D4—48no—
506C23×D4—496no—
507C23×D4—48no—
508C23×D4—48no—
509C23×D4—48no—
510C23×D4—48no—
511C23×D4—4256no—
512C23×D4—48no—
513C23×D4—48no—
514C23×D4—48no—
515C23×D4—48no—
516C23×D4—48no—
517C23×D4—48no—
518C23×D4—48no—
519C23×D4—48no—
520C23×D4—4192no—
521C23×D4—4192no—
522C23×D4—4256no—
523C23×D4—4256no—
524C23×D4C24124yes—
525C23×D4C24112yes—
526C23×D4C24112yes—
527C23×D4C24164yes—
528C23×D4C24124yes—
529C23×D4C24124yes—
530C23×D4C24124yes—
531C23×D4C24124yes—
532C23×D4C24124yes—
533C23×D4C24164yes—
534C23×D4C24164yes—
535C23×D4C24112yes—
536C23×D4C24124yes—
537C23×D4C24124yes—
538C23×D4C24124yescomplemented
539C24×C4—28no—
540C24×C4—28no—
541C24×C4—28no—
542C24×C4—28no—
543C24×C4—216no—
544C24×C4—28no—
545C24×C4—216no—
546C24×C4—28no—
547C24×C4—48no—
548C24×C4—48no—
549C24×C4—48no—
550C24×C4—48no—
551C24×C4—48no—
552C24×C4—48no—
553C24×C4C2×D4116yes—
554C24×C4C2×D4116yes—
555C24×C4C24112yes—
556C24×C4C2411yescharacteristic
557C24×C4C2412yes—
558C24×C4C2412yes—
559C24×C4C2411yescharacteristic
560C24×C4C2411yescharacteristic
561C24×C4C2412yes—
562C24×C4C2411yescharacteristic
563C24×C4C2411yescharacteristic
564C24×C4C2411yescharacteristic
565C24×C4C2411yescharacteristic
566C24×C4C2412yes—
567C24×C4C2412yes—
568C24×C4C24112yes—
569C24×C4C2411yescharacteristic
570C24×C4C2411yescharacteristic
571C24×C4C2411yescharacteristic
572C24×C4C2411yescharacteristic
573C24×C4C24112yes—
574C24×C4C24112yes—
575C24×C4C24124yes—
576C24×C4C24112yes—
577C24×C4C24112yescomplemented
578#551—22048no—
579C2×#126—2192no—
580C2×#126—2192no—
581C2×#126C24164yescomplemented
582C2×#126C24164yescomplemented
583C2×#124—2192no—
584C2×#124—4192no—
585C2×#124C24164yescomplemented
586C2×#124C241128yescomplemented
587C2×#123—2192no—
588C2×#123—2192no—
589C2×#123—2192no—
590C2×#123—4192no—
591C2×#123C24164yescomplemented
592C2×#123C24164yescomplemented
593C2×#123C24164yescomplemented
594C2×#123C241128yescomplemented
595C2×C22⋊Q8—2192no—
596C2×C22⋊Q8—2192no—
597C2×C22⋊Q8C24164yescomplemented
598C2×C22⋊Q8C24164yescomplemented
599C2×#121—4192no—
600C2×#121—4192no—
601C2×#121C241128yescomplemented
602C2×#121C241128yescomplemented
603C2×#120—2192no—
604C2×#120—2192no—
605C2×#120—2384no—
606C2×#120—2384no—
607C2×#120—2384no—
608C2×#120—2384no—
609C2×#120—22048no—
610C2×#120—496no—
611C2×#120—496no—
612C2×#120—4192no—
613C2×#120—4192no—
614C2×#120C24164yes—
615C2×#120C24164yes—
616C2×#120C241128yes—
617C2×#120C241128yes—
618C2×#120C241128yes—
619C2×#120C241128yes—
620C2×#120C24164yes—
621C2×#120C241128yescomplemented
622C2×#120C241128yescomplemented
623C2×#120C24164yescomplemented
624C2×C4×D4—2192no—
625C2×C4×D4—2192no—
626C2×C4×D4C24164yescomplemented
627C2×C4×D4C24164yescomplemented
628C2×#117—2192no—
629C2×#117—2192no—
630C2×#117—496no—
631C2×#117C24164yescomplemented
632C2×#117C24164yescomplemented
633C2×#117C24164yescomplemented
634C22×C4⋊C4—28no—
635C22×C4⋊C4—28no—
636C22×C4⋊C4—28no—
637C22×C4⋊C4—28no—
638C22×C4⋊C4—28no—
639C22×C4⋊C4—28no—
640C22×C4⋊C4—28no—
641C22×C4⋊C4—28no—
642C22×C4⋊C4—48no—
643C22×C4⋊C4—48no—
644C22×C4⋊C4—48no—
645C22×C4⋊C4—48no—
646C22×C4⋊C4—48no—
647C22×C4⋊C4C24112yescomplemented
648C22×C4⋊C4C24112yescomplemented
649C22×C4⋊C4C24112yescomplemented
650C22×C4⋊C4C24112yescomplemented
651C22×C4⋊C4C24112yescomplemented
652C22×C4⋊C4C24112yescomplemented
653C22×C4⋊C4C24112yescomplemented
654C22×C4⋊C4C24112yescomplemented
655C22×C4⋊C4C24124yescomplemented
656C22×C4⋊C4C24124yescomplemented
657C22×C4⋊C4C24124yescomplemented
658C22×C4⋊C4C24124yescomplemented
659C22×C4⋊C4C24124yescomplemented
660C22×C22⋊C4—28no—
661C22×C22⋊C4—28no—
662C22×C22⋊C4—28no—
663C22×C22⋊C4—28no—
664C22×C22⋊C4—2192no—
665C22×C22⋊C4—28no—
666C22×C22⋊C4—28no—
667C22×C22⋊C4—28no—
668C22×C22⋊C4—216no—
669C22×C22⋊C4—28no—
670C22×C22⋊C4—28no—
671C22×C22⋊C4—28no—
672C22×C22⋊C4—216no—
673C22×C22⋊C4—216no—
674C22×C22⋊C4—28no—
675C22×C22⋊C4—216no—
676C22×C22⋊C4—216no—
677C22×C22⋊C4—216no—
678C22×C22⋊C4—216no—
679C22×C22⋊C4—216no—
680C22×C22⋊C4—216no—
681C22×C22⋊C4—2192no—
682C22×C22⋊C4—2192no—
683C22×C22⋊C4—28no—
684C22×C22⋊C4—28no—
685C22×C22⋊C4—28no—
686C22×C22⋊C4—496no—
687C22×C22⋊C4—4192no—
688C22×C22⋊C4—48no—
689C22×C22⋊C4—48no—
690C22×C22⋊C4—48no—
691C22×C22⋊C4—48no—
692C22×C22⋊C4—48no—
693C22×C22⋊C4—48no—
694C22×C22⋊C4—48no—
695C22×C22⋊C4—4192no—
696C22×C22⋊C4—48no—
697C22×C22⋊C4—48no—
698C22×C22⋊C4—48no—
699C22×C22⋊C4—48no—
700C22×C22⋊C4—48no—
701C22×C22⋊C4—48no—
702C22×C22⋊C4—48no—
703C22×C22⋊C4—48no—
704C22×C22⋊C4—48no—
705C22×C22⋊C4—48no—
706C22×C22⋊C4—48no—
707C22×C22⋊C4—48no—
708C22×C22⋊C4—48no—
709C22×C22⋊C4C2×D4116yes—
710C22×C22⋊C4C2×D4116yes—
711C22×C22⋊C4C2×D4116yes—
712C22×C22⋊C4C2×D4116yes—
713C22×C22⋊C4C2×D41384yescomplemented
714C22×C22⋊C4C24164yes—
715C22×C22⋊C4C24124yes—
716C22×C22⋊C4C24112yes—
717C22×C22⋊C4C24112yes—
718C22×C22⋊C4C24124yes—
719C22×C22⋊C4C24112yes—
720C22×C22⋊C4C24124yes—
721C22×C22⋊C4C24124yes—
722C22×C22⋊C4C24124yes—
723C22×C22⋊C4C24124yes—
724C22×C22⋊C4C24124yes—
725C22×C22⋊C4C24124yes—
726C22×C22⋊C4C24112yes—
727C22×C22⋊C4C24112yes—
728C22×C22⋊C4C24164yes—
729C22×C22⋊C4C24164yes—
730C22×C22⋊C4C24112yes—
731C22×C22⋊C4C24112yes—
732C22×C22⋊C4C24112yes—
733C22×C22⋊C4C24112yes—
734C22×C22⋊C4C24112yes—
735C22×C22⋊C4C24112yes—
736C22×C22⋊C4C24124yes—
737C22×C22⋊C4C24164yes—
738C22×C22⋊C4C24124yes—
739C22×C22⋊C4C24124yes—
740C22×C22⋊C4C24124yes—
741C22×C22⋊C4C24124yes—
742C22×C22⋊C4C24124yes—
743C22×C22⋊C4C24124yes—
744C22×C22⋊C4C24124yes—
745C22×C22⋊C4C24124yes—
746C22×C22⋊C4C24124yes—
747C22×C22⋊C4C24124yes—
748C22×C22⋊C4C24124yes—
749C22×C22⋊C4C24124yes—
750C22×C22⋊C4C24112yes—
751C22×C22⋊C4C24112yes—
752C22×C22⋊C4C24112yes—
753C22×C22⋊C4C24112yes—
754C22×C22⋊C4C24164yes—
755C22×C22⋊C4C24112yescomplemented
756C22×C22⋊C4C24112yescomplemented
757C22×C22⋊C4C24112yescomplemented
758C22×C22⋊C4C241128yescomplemented
759C22×C22⋊C4C241128yescomplemented
760C22×C22⋊C4C24124yescomplemented
761C22×C22⋊C4C24124yescomplemented
762C22×C22⋊C4C24124yescomplemented
763C22×C22⋊C4C24124yescomplemented
764C22×C22⋊C4C24124yescomplemented
765C22×C22⋊C4C24124yescomplemented
766C22×C22⋊C4C24124yescomplemented
767C22×C22⋊C4C24124yescomplemented
768C22×C42—28no—
769C22×C42—28no—
770C22×C42—28no—
771C22×C42—48no—
772C22×C42—48no—
773C22×C42C24112yescomplemented
774C22×C42C24112yescomplemented
775C22×C42C24112yescomplemented
776C22×C42C24124yescomplemented
777C22×C42C24124yescomplemented
778#399C241128yescomplemented
779#399C241128yescomplemented
780#397C241128yescomplemented
781#396C241128yescomplemented
782#396C241128yescomplemented
783#396C241128yescomplemented
784#394C241128yescomplemented
785#394C241128yescomplemented
786#394C241128yescomplemented
787#394C241128yescomplemented
788#394C241128yescomplemented
789#394C241128yescomplemented
790#394C241128yescomplemented
791#394C241128yescomplemented
792#394C241128yescomplemented
793#393C241128yescomplemented
794#392C241128yescomplemented
795#392C241128yescomplemented
796#392C241128yescomplemented
797#392C241128yescomplemented
798#390C241128yescomplemented
799#390C241128yescomplemented
800#390C241128yescomplemented
801#390C241128yescomplemented
802#390C241128yescomplemented
803#390C241128yescomplemented
804#390C241128yescomplemented
805#390C241128yescomplemented
806#388C241128yescomplemented
807#388C241128yescomplemented
808#388C241128yescomplemented
809#388C241128yescomplemented
810#388C241128yescomplemented
811#388C241128yescomplemented
812#388C241128yescomplemented
813#386C241128yescomplemented
814#386C24164yescomplemented
815#386C241128yescomplemented
816#386C241128yescomplemented
817#385C24164yescomplemented
818#385C241128yescomplemented
819#385C24164yescomplemented
820#385C24164yescomplemented
821#381C24164yescomplemented
822#380C24164yescomplemented
823#379C24164yes—
824#379C24164yes—
825#379C24164yes—
826#379C24164yes—
827#379C24164yes—
828#379C24164yes—
829#379C24164yes—
830#379C241128yescomplemented
831#379C241128yescomplemented
832#379C241128yescomplemented
833#379C241128yescomplemented
834#379C24164yescomplemented
835#379C24164yescomplemented
836#379C24164yescomplemented
837C4×C22⋊C4C24164yescomplemented
838C4×C22⋊C4C241128yescomplemented
839C2×#95C24124yescomplemented
840C2×#95C24124yescomplemented
841C2×#95C24124yescomplemented
842C2×#95C24124yescomplemented
843C2×#95C24124yescomplemented
844C2×#95C24124yescomplemented
845C2×#95C24124yescomplemented
846C2×#95C24124yescomplemented
847C25—24no—
848C25—24no—
849C25—28no—
850C25—28no—
851C25—28no—
852C25—2128no—
853C25—2256no—
854C25—2128no—
855C25—2128no—
856C25—2128no—
857C25—248no—
858C25—248no—
859C25—28no—
860C25—28no—
861C25—296no—
862C25—248no—
863C25—24no—
864C25—28no—
865C25—296no—
866C25—248no—
867C25—296no—
868C25—24no—
869C25—28no—
870C25—28no—
871C25—28no—
872C25—28no—
873C25—28no—
874C25—28no—
875C25—28no—
876C25—28no—
877C25—296no—
878C25—296no—
879C25—28no—
880C25—248no—
881C25—28no—
882C25—28no—
883C25—24no—
884C25—296no—
885C25—296no—
886C25—2256no—
887C25—248no—
888C25—28no—
889C25—24no—
890C25—28no—
891C25—2256no—
892C25—296no—
893C25—248no—
894C25—28no—
895C25—28no—
896C25—28no—
897C25—28no—
898C25—28no—
899C25—28no—
900C25—296no—
901C25—296no—
902C25—248no—
903C25—28no—
904C25—24no—
905C25—248no—
906C25—248no—
907C25—464no—
908C25—4128no—
909C25—448no—
910C25—448no—
911C25—448no—
912C25—448no—
913C25—448no—
914C25—448no—
915C25—448no—
916C25—448no—
917C25—448no—
918C25—448no—
919C25—4128no—
920C25—4256no—
921C25—4256no—
922C25—448no—
923C25—448no—
924C25—4128no—
925C25—4128no—
926C25—4128no—
927C25—4128no—
928C25—4128no—
929C25—4128no—
930C25—4128no—
931C25—4128no—
932C25—41536no—
933C25—4128no—
934C25—4128no—
935C25—4128no—
936C25—464no—
937C25—464no—
938C25—464no—
939C25—4128no—
940C25—4128no—
941C25—41536no—
942C25—43072no—
943C25—41536no—
944C25—4128no—
945C25—4128no—
946C25—4128no—
947C25—464no—
948C25—464no—
949C25—43072no—
950C25—48192no—
951C25—4128no—
952C25—4128no—
953C25—464no—
954C25—464no—
955C25—864no—
956C25—864no—
957C25C22×D418yes—
958C25C22×D4196yes—
959C25C22×D418yes—
960C25C22×D418yes—
961C25C2×#41116yes—
962C25C2×#4118yes—
963C25C2×#41196yes—
964C25H(5,𝔽2)116yes—
965C25H(5,𝔽2)116yes—
966C25H(5,𝔽2)18yes—
967C25C25112yes—
968C25C2516yes—
969C25C2516yes—
970C25C25112yes—
971C25C25112yes—
972C25C25116yes—
973C25C25132yes—
974C25C25116yes—
975C25C2516yes—
976C25C2516yes—
977C25C25132yes—
978C25C25116yes—
979C25C25116yes—
980C25C2511yescharacteristic
981C22×Q8—248no—
982C22×Q8—448no—
983C22×Q8—832no—
984C22×Q8C25116yescomplemented
985C22×D4—248no—
986C22×D4—248no—
987C22×D4—296no—
988C22×D4—2256no—
989C22×D4—296no—
990C22×D4—248no—
991C22×D4—296no—
992C22×D4—296no—
993C22×D4—2256no—
994C22×D4—248no—
995C22×D4—296no—
996C22×D4—296no—
997C22×D4—296no—
998C22×D4—296no—
999C22×D4—296no—
1000C22×D4—248no—
1001C22×D4—296no—
1002C22×D4—296no—
1003C22×D4—296no—
1004C22×D4—296no—
1005C22×D4—296no—
1006C22×D4—296no—
1007C22×D4—2256no—
1008C22×D4—2256no—
1009C22×D4—448no—
1010C22×D4—448no—
1011C22×D4—448no—
1012C22×D4—448no—
1013C22×D4—4128no—
1014C22×D4—448no—
1015C22×D4—448no—
1016C22×D4—41536no—
1017C22×D4—4128no—
1018C22×D4—4128no—
1019C22×D4—4128no—
1020C22×D4—4128no—
1021C22×D4—448no—
1022C22×D4—448no—
1023C22×D4—448no—
1024C22×D4—448no—
1025C22×D4—448no—
1026C22×D4—448no—
1027C22×D4—448no—
1028C22×D4—448no—
1029C22×D4—4256no—
1030C22×D4—4256no—
1031C22×D4—41536no—
1032C22×D4—41536no—
1033C22×D4—4128no—
1034C22×D4—464no—
1035C22×D4—4128no—
1036C22×D4—464no—
1037C22×D4—832no—
1038C22×D4—864no—
1039C22×D4—864no—
1040C22×D4—864no—
1041C22×D4C25116yes—
1042C22×D4C25116yes—
1043C22×D4C25132yes—
1044C22×D4C25132yes—
1045C22×D4C25132yes—
1046C22×D4C25132yes—
1047C22×D4C25132yes—
1048C22×D4C25132yes—
1049C22×D4C25132yes—
1050C22×D4C25116yes—
1051C22×D4C25132yes—
1052C22×D4C25132yescomplemented
1053C23×C4—2128no—
1054C23×C4—248no—
1055C23×C4—24no—
1056C23×C4—24no—
1057C23×C4—24no—
1058C23×C4—28no—
1059C23×C4—248no—
1060C23×C4—24no—
1061C23×C4—28no—
1062C23×C4—248no—
1063C23×C4—28no—
1064C23×C4—24no—
1065C23×C4—24no—
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—24no—
1070C23×C4—24no—
1071C23×C4—248no—
1072C23×C4—24no—
1073C23×C4—28no—
1074C23×C4—28no—
1075C23×C4—28no—
1076C23×C4—28no—
1077C23×C4—28no—
1078C23×C4—28no—
1079C23×C4—28no—
1080C23×C4—28no—
1081C23×C4—28no—
1082C23×C4—28no—
1083C23×C4—28no—
1084C23×C4—28no—
1085C23×C4—28no—
1086C23×C4—24no—
1087C23×C4—28no—
1088C23×C4—28no—
1089C23×C4—28no—
1090C23×C4—28no—
1091C23×C4—28no—
1092C23×C4—296no—
1093C23×C4—28no—
1094C23×C4—28no—
1095C23×C4—248no—
1096C23×C4—296no—
1097C23×C4—248no—
1098C23×C4—464no—
1099C23×C4—448no—
1100C23×C4—448no—
1101C23×C4—448no—
1102C23×C4—448no—
1103C23×C4—448no—
1104C23×C4—448no—
1105C23×C4—464no—
1106C23×C4—464no—
1107C23×C4—832no—
1108C23×C4—832no—
1109C23×C4—864no—
1110C23×C4C22×D418yes—
1111C23×C4C22×D418yes—
1112C23×C4C22×D418yes—
1113C23×C4C22×D418yes—
1114C23×C4C22×D4196yes—
1115C23×C4C22×D4196yes—
1116C23×C4C2516yes—
1117C23×C4C2516yes—
1118C23×C4C2516yes—
1119C23×C4C25112yes—
1120C23×C4C2516yes—
1121C23×C4C2516yes—
1122C23×C4C25112yes—
1123C23×C4C2516yes—
1124C23×C4C2516yes—
1125C23×C4C25112yes—
1126C23×C4C25112yes—
1127C23×C4C25112yes—
1128C23×C4C25116yes—
1129C23×C4C2516yes—
1130C23×C4C2516yes—
1131C23×C4C2516yes—
1132C23×C4C2516yes—
1133C23×C4C25116yes—
1134C23×C4C25116yes—
1135C23×C4C25116yes—
1136C23×C4C25132yes—
1137C23×C4C25116yes—
1138C23×C4C25116yescomplemented
1139#126—2256no—
1140#126—2256no—
1141#124—2256no—
1142#124—4256no—
1143#123—2256no—
1144#123—2256no—
1145#123—2256no—
1146#123—4256no—
1147C22⋊Q8—2256no—
1148C22⋊Q8—2256no—
1149#121—4256no—
1150#121—4256no—
1151#120—2256no—
1152#120—2256no—
1153#120—2512no—
1154#120—2512no—
1155#120—2512no—
1156#120—2512no—
1157#120—4128no—
1158#120—4128no—
1159#120—4256no—
1160#120—4256no—
1161C4×D4—2256no—
1162C4×D4—2256no—
1163#117—2256no—
1164#117—2256no—
1165#117—4128no—
1166C2×C4⋊C4—248no—
1167C2×C4⋊C4—248no—
1168C2×C4⋊C4—248no—
1169C2×C4⋊C4—248no—
1170C2×C4⋊C4—248no—
1171C2×C4⋊C4—248no—
1172C2×C4⋊C4—248no—
1173C2×C4⋊C4—248no—
1174C2×C4⋊C4—448no—
1175C2×C4⋊C4—448no—
1176C2×C4⋊C4—448no—
1177C2×C4⋊C4—448no—
1178C2×C4⋊C4—448no—
1179C2×C4⋊C4C25116yescomplemented
1180C2×C4⋊C4C25116yescomplemented
1181C2×C4⋊C4C25116yescomplemented
1182C2×C4⋊C4C25116yescomplemented
1183C2×C4⋊C4C25116yescomplemented
1184C2×C4⋊C4C25116yescomplemented
1185C2×C4⋊C4C25116yescomplemented
1186C2×C4⋊C4C25116yescomplemented
1187C2×C4⋊C4C25132yescomplemented
1188C2×C4⋊C4C25132yescomplemented
1189C2×C4⋊C4C25132yescomplemented
1190C2×C4⋊C4C25132yescomplemented
1191C2×C4⋊C4C25132yescomplemented
1192C2×C22⋊C4—248no—
1193C2×C22⋊C4—248no—
1194C2×C22⋊C4—248no—
1195C2×C22⋊C4—248no—
1196C2×C22⋊C4—2256no—
1197C2×C22⋊C4—248no—
1198C2×C22⋊C4—248no—
1199C2×C22⋊C4—248no—
1200C2×C22⋊C4—296no—
1201C2×C22⋊C4—248no—
1202C2×C22⋊C4—248no—
1203C2×C22⋊C4—248no—
1204C2×C22⋊C4—296no—
1205C2×C22⋊C4—296no—
1206C2×C22⋊C4—248no—
1207C2×C22⋊C4—296no—
1208C2×C22⋊C4—296no—
1209C2×C22⋊C4—296no—
1210C2×C22⋊C4—296no—
1211C2×C22⋊C4—296no—
1212C2×C22⋊C4—296no—
1213C2×C22⋊C4—2256no—
1214C2×C22⋊C4—2256no—
1215C2×C22⋊C4—248no—
1216C2×C22⋊C4—248no—
1217C2×C22⋊C4—248no—
1218C2×C22⋊C4—4128no—
1219C2×C22⋊C4—4256no—
1220C2×C22⋊C4—448no—
1221C2×C22⋊C4—448no—
1222C2×C22⋊C4—448no—
1223C2×C22⋊C4—448no—
1224C2×C22⋊C4—448no—
1225C2×C22⋊C4—448no—
1226C2×C22⋊C4—448no—
1227C2×C22⋊C4—4256no—
1228C2×C22⋊C4—448no—
1229C2×C22⋊C4—448no—
1230C2×C22⋊C4—448no—
1231C2×C22⋊C4—448no—
1232C2×C22⋊C4—448no—
1233C2×C22⋊C4—448no—
1234C2×C22⋊C4—448no—
1235C2×C22⋊C4—448no—
1236C2×C22⋊C4—448no—
1237C2×C22⋊C4—448no—
1238C2×C22⋊C4—448no—
1239C2×C22⋊C4—448no—
1240C2×C22⋊C4—448no—
1241C2×C22⋊C4C22×D4196yes—
1242C2×C22⋊C4C22×D4196yes—
1243C2×C22⋊C4C22×D4196yes—
1244C2×C22⋊C4C22×D4196yes—
1245C2×C22⋊C4C22×D41512yescomplemented
1246C2×C22⋊C4C25116yes—
1247C2×C22⋊C4C25116yes—
1248C2×C22⋊C4C25132yes—
1249C2×C22⋊C4C25132yes—
1250C2×C22⋊C4C25132yes—
1251C2×C22⋊C4C25132yes—
1252C2×C22⋊C4C25116yes—
1253C2×C22⋊C4C25116yes—
1254C2×C22⋊C4C25116yes—
1255C2×C22⋊C4C25116yes—
1256C2×C22⋊C4C25132yes—
1257C2×C22⋊C4C25132yes—
1258C2×C22⋊C4C25116yes—
1259C2×C22⋊C4C25116yes—
1260C2×C22⋊C4C25116yes—
1261C2×C22⋊C4C25116yes—
1262C2×C22⋊C4C25116yes—
1263C2×C22⋊C4C25132yes—
1264C2×C22⋊C4C25132yes—
1265C2×C22⋊C4C25132yes—
1266C2×C22⋊C4C25132yes—
1267C2×C22⋊C4C25132yes—
1268C2×C22⋊C4C25132yes—
1269C2×C22⋊C4C25132yes—
1270C2×C22⋊C4C25132yes—
1271C2×C22⋊C4C25132yes—
1272C2×C22⋊C4C25132yes—
1273C2×C22⋊C4C25132yes—
1274C2×C22⋊C4C25132yes—
1275C2×C22⋊C4C25132yes—
1276C2×C22⋊C4C25132yes—
1277C2×C22⋊C4C25132yes—
1278C2×C22⋊C4C25116yes—
1279C2×C22⋊C4C25116yes—
1280C2×C22⋊C4C25116yes—
1281C2×C22⋊C4C25116yes—
1282C2×C22⋊C4C25116yescomplemented
1283C2×C22⋊C4C25116yescomplemented
1284C2×C22⋊C4C25116yescomplemented
1285C2×C22⋊C4C25132yescomplemented
1286C2×C22⋊C4C25132yescomplemented
1287C2×C22⋊C4C25132yescomplemented
1288C2×C22⋊C4C25132yescomplemented
1289C2×C22⋊C4C25132yescomplemented
1290C2×C22⋊C4C25132yescomplemented
1291C2×C22⋊C4C25132yescomplemented
1292C2×C22⋊C4C25132yescomplemented
1293C2×C42—248no—
1294C2×C42—248no—
1295C2×C42—248no—
1296C2×C42—448no—
1297C2×C42—448no—
1298C2×C42C25116yescomplemented
1299C2×C42C25116yescomplemented
1300C2×C42C25116yescomplemented
1301C2×C42C25132yescomplemented
1302C2×C42C25132yescomplemented
1303#95C25132yescomplemented
1304#95C25132yescomplemented
1305#95C25132yescomplemented
1306#95C25132yescomplemented
1307#95C25132yescomplemented
1308#95C25132yescomplemented
1309#95C25132yescomplemented
1310#95C25132yescomplemented
1311C24—212no—
1312C24—224no—
1313C24—212no—
1314C24—224no—
1315C24—224no—
1316C24—232no—
1317C24—232no—
1318C24—232no—
1319C24—232no—
1320C24—264no—
1321C24—264no—
1322C24—264no—
1323C24—264no—
1324C24—2384no—
1325C24—2768no—
1326C24—232no—
1327C24—224no—
1328C24—232no—
1329C24—224no—
1330C24—264no—
1331C24—232no—
1332C24—224no—
1333C24—212no—
1334C24—264no—
1335C24—232no—
1336C24—264no—
1337C24—224no—
1338C24—224no—
1339C24—224no—
1340C24—212no—
1341C24—224no—
1342C24—224no—
1343C24—224no—
1344C24—224no—
1345C24—224no—
1346C24—264no—
1347C24—264no—
1348C24—224no—
1349C24—224no—
1350C24—232no—
1351C24—224no—
1352C24—2384no—
1353C24—232no—
1354C24—2384no—
1355C24—264no—
1356C24—2384no—
1357C24—232no—
1358C24—264no—
1359C24—232no—
1360C24—264no—
1361C24—264no—
1362C24—264no—
1363C24—264no—
1364C24—212no—
1365C24—264no—
1366C24—264no—
1367C24—232no—
1368C24—224no—
1369C24—212no—
1370C24—224no—
1371C24—264no—
1372C24—232no—
1373C24—224no—
1374C24—224no—
1375C24—224no—
1376C24—224no—
1377C24—224no—
1378C24—224no—
1379C24—264no—
1380C24—264no—
1381C24—232no—
1382C24—224no—
1383C24—212no—
1384C24—232no—
1385C24—232no—
1386C24—4192no—
1387C24—4384no—
1388C24—432no—
1389C24—432no—
1390C24—432no—
1391C24—432no—
1392C24—432no—
1393C24—432no—
1394C24—432no—
1395C24—432no—
1396C24—432no—
1397C24—432no—
1398C24—432no—
1399C24—432no—
1400C24—4384no—
1401C24—4384no—
1402C24—4384no—
1403C24—4384no—
1404C24—41024no—
1405C24—4384no—
1406C24—4384no—
1407C24—4384no—
1408C24—4384no—
1409C24—4384no—
1410C24—4384no—
1411C24—41024no—
1412C24—4384no—
1413C24—4192no—
1414C24—41024no—
1415C24—41024no—
1416C24—42048no—
1417C24—4192no—
1418C24—4192no—
1419C24—4384no—
1420C24—4384no—
1421C24—41024no—
1422C24—42048no—
1423C24—4384no—
1424C24—41024no—
1425C24—4384no—
1426C24—4384no—
1427C24—4192no—
1428C24—4192no—
1429C24—42048no—
1430C24—424576no—
1431C24—42048no—
1432C24—4384no—
1433C24—4384no—
1434C24—432no—
1435C24—432no—
1436C24—4192no—
1437C24—432no—
1438C24—432no—
1439C24—432no—
1440C24—432no—
1441C24—432no—
1442C24—432no—
1443C24—432no—
1444C24—432no—
1445C24—432no—
1446C24—416no—
1447C24—4192no—
1448C24—432no—
1449C24—416no—
1450C24—416no—
1451C24—432no—
1452C24—432no—
1453C24—432no—
1454C24—432no—
1455C24—432no—
1456C24—432no—
1457C24—432no—
1458C24—8192no—
1459C24—8192no—
1460C24—8512no—
1461C24#535164yes—
1462C24#546164yes—
1463C24C23×D4124yes—
1464C24C23×D4164yes—
1465C24C23×D4124yes—
1466C24C23×D4124yes—
1467C24C23×D414yes—
1468C24C22×#41148yes—
1469C24C22×#41124yes—
1470C24C22×#41164yes—
1471C24C22×#4114yes—
1472C24C2×H(5,𝔽2)148yes—
1473C24C2×H(5,𝔽2)148yes—
1474C24C2×H(5,𝔽2)124yes—
1475C24C2×H(5,𝔽2)18yes—
1476C24C2×H(5,𝔽2)14yes—
1477C24C2×H(5,𝔽2)18yes—
1478C24C2618yes—
1479C24C2614yes—
1480C24C2614yes—
1481C24C2618yes—
1482C24C2618yes—
1483C24C2614yes—
1484C24C2614yes—
1485C24C2613yes—
1486C2×Q8—232no—
1487C2×Q8—432no—
1488C2×Q8—896no—
1489C2×D4—232no—
1490C2×D4—232no—
1491C2×D4—264no—
1492C2×D4—264no—
1493C2×D4—232no—
1494C2×D4—264no—
1495C2×D4—264no—
1496C2×D4—232no—
1497C2×D4—264no—
1498C2×D4—264no—
1499C2×D4—264no—
1500C2×D4—264no—
1501C2×D4—264no—
1502C2×D4—232no—
1503C2×D4—264no—
1504C2×D4—264no—
1505C2×D4—264no—
1506C2×D4—264no—
1507C2×D4—264no—
1508C2×D4—264no—
1509C2×D4—432no—
1510C2×D4—432no—
1511C2×D4—432no—
1512C2×D4—432no—
1513C2×D4—432no—
1514C2×D4—432no—
1515C2×D4—4384no—
1516C2×D4—4384no—
1517C2×D4—41024no—
1518C2×D4—4384no—
1519C2×D4—4384no—
1520C2×D4—432no—
1521C2×D4—432no—
1522C2×D4—432no—
1523C2×D4—432no—
1524C2×D4—432no—
1525C2×D4—432no—
1526C2×D4—432no—
1527C2×D4—432no—
1528C2×D4—41024no—
1529C2×D4—41024no—
1530C2×D4—4384no—
1531C2×D4—4192no—
1532C2×D4—4384no—
1533C2×D4—4192no—
1534C2×D4—896no—
1535C2×D4—8192no—
1536C2×D4—8192no—
1537C2×D4—8192no—
1538C22×C4—232no—
1539C22×C4—212no—
1540C22×C4—212no—
1541C22×C4—212no—
1542C22×C4—224no—
1543C22×C4—212no—
1544C22×C4—224no—
1545C22×C4—232no—
1546C22×C4—2384no—
1547C22×C4—232no—
1548C22×C4—232no—
1549C22×C4—232no—
1550C22×C4—232no—
1551C22×C4—212no—
1552C22×C4—212no—
1553C22×C4—212no—
1554C22×C4—212no—
1555C22×C4—212no—
1556C22×C4—232no—
1557C22×C4—224no—
1558C22×C4—212no—
1559C22×C4—212no—
1560C22×C4—232no—
1561C22×C4—224no—
1562C22×C4—212no—
1563C22×C4—224no—
1564C22×C4—224no—
1565C22×C4—224no—
1566C22×C4—224no—
1567C22×C4—224no—
1568C22×C4—224no—
1569C22×C4—224no—
1570C22×C4—224no—
1571C22×C4—224no—
1572C22×C4—224no—
1573C22×C4—224no—
1574C22×C4—224no—
1575C22×C4—212no—
1576C22×C4—224no—
1577C22×C4—224no—
1578C22×C4—224no—
1579C22×C4—224no—
1580C22×C4—224no—
1581C22×C4—264no—
1582C22×C4—224no—
1583C22×C4—224no—
1584C22×C4—232no—
1585C22×C4—264no—
1586C22×C4—232no—
1587C22×C4—4192no—
1588C22×C4—432no—
1589C22×C4—432no—
1590C22×C4—432no—
1591C22×C4—432no—
1592C22×C4—432no—
1593C22×C4—432no—
1594C22×C4—4192no—
1595C22×C4—4192no—
1596C22×C4—416no—
1597C22×C4—416no—
1598C22×C4—432no—
1599C22×C4—416no—
1600C22×C4—416no—
1601C22×C4—416no—
1602C22×C4—416no—
1603C22×C4—416no—
1604C22×C4—432no—
1605C22×C4—432no—
1606C22×C4—432no—
1607C22×C4—432no—
1608C22×C4—896no—
1609C22×C4—896no—
1610C22×C4—8192no—
1611C22×C4C23×D4124yes—
1612C22×C4C23×D4124yes—
1613C22×C4C23×D4124yes—
1614C22×C4C23×D4124yes—
1615C22×C4C23×D4164yes—
1616C22×C4C23×D4164yes—
1617C22×C4C2618yes—
1618C22×C4C2618yes—
1619C22×C4C2618yes—
1620C22×C4C2618yes—
1621C22×C4C2614yes—
1622C22×C4C2618yes—
1623C22×C4C2614yes—
1624C22×C4C2614yes—
1625C22×C4C2614yes—
1626C22×C4C2614yes—
1627C22×C4C2614yes—
1628C22×C4C2614yes—
1629C22×C4C2614yes—
1630C22×C4C2614yes—
1631C22×C4C2614yes—
1632C22×C4C2614yes—
1633C4⋊C4—232no—
1634C4⋊C4—232no—
1635C4⋊C4—232no—
1636C4⋊C4—232no—
1637C4⋊C4—232no—
1638C4⋊C4—232no—
1639C4⋊C4—232no—
1640C4⋊C4—232no—
1641C4⋊C4—432no—
1642C4⋊C4—432no—
1643C4⋊C4—432no—
1644C4⋊C4—432no—
1645C4⋊C4—432no—
1646C22⋊C4—232no—
1647C22⋊C4—232no—
1648C22⋊C4—232no—
1649C22⋊C4—232no—
1650C22⋊C4—232no—
1651C22⋊C4—232no—
1652C22⋊C4—232no—
1653C22⋊C4—264no—
1654C22⋊C4—232no—
1655C22⋊C4—232no—
1656C22⋊C4—232no—
1657C22⋊C4—264no—
1658C22⋊C4—264no—
1659C22⋊C4—232no—
1660C22⋊C4—264no—
1661C22⋊C4—264no—
1662C22⋊C4—264no—
1663C22⋊C4—264no—
1664C22⋊C4—264no—
1665C22⋊C4—264no—
1666C22⋊C4—232no—
1667C22⋊C4—232no—
1668C22⋊C4—232no—
1669C22⋊C4—432no—
1670C22⋊C4—432no—
1671C22⋊C4—432no—
1672C22⋊C4—432no—
1673C22⋊C4—432no—
1674C22⋊C4—432no—
1675C22⋊C4—432no—
1676C22⋊C4—432no—
1677C22⋊C4—432no—
1678C22⋊C4—432no—
1679C22⋊C4—432no—
1680C22⋊C4—432no—
1681C22⋊C4—432no—
1682C22⋊C4—432no—
1683C22⋊C4—432no—
1684C22⋊C4—432no—
1685C22⋊C4—432no—
1686C22⋊C4—432no—
1687C22⋊C4—432no—
1688C22⋊C4—432no—
1689C22⋊C4C23×D4164yes—
1690C22⋊C4C23×D4164yes—
1691C22⋊C4C23×D4164yes—
1692C22⋊C4C23×D4164yes—
1693C42—232no—
1694C42—232no—
1695C42—232no—
1696C42—432no—
1697C42—432no—
1698C23—248no—
1699C23—248no—
1700C23—296no—
1701C23—296no—
1702C23—24no—
1703C23—24no—
1704C23—28no—
1705C23—28no—
1706C23—28no—
1707C23—2256no—
1708C23—2256no—
1709C23—248no—
1710C23—248no—
1711C23—296no—
1712C23—296no—
1713C23—2128no—
1714C23—2256no—
1715C23—296no—
1716C23—248no—
1717C23—296no—
1718C23—296no—
1719C23—296no—
1720C23—28no—
1721C23—28no—
1722C23—24no—
1723C23—28no—
1724C23—24no—
1725C23—28no—
1726C23—28no—
1727C23—28no—
1728C23—28no—
1729C23—28no—
1730C23—28no—
1731C23—28no—
1732C23—28no—
1733C23—28no—
1734C23—28no—
1735C23—28no—
1736C23—2128no—
1737C23—248no—
1738C23—2128no—
1739C23—296no—
1740C23—2128no—
1741C23—248no—
1742C23—296no—
1743C23—24no—
1744C23—28no—
1745C23—24no—
1746C23—28no—
1747C23—28no—
1748C23—28no—
1749C23—28no—
1750C23—28no—
1751C23—28no—
1752C23—28no—
1753C23—28no—
1754C23—24no—
1755C23—464no—
1756C23—4128no—
1757C23—4128no—
1758C23—4128no—
1759C23—4128no—
1760C23—4128no—
1761C23—4128no—
1762C23—4128no—
1763C23—4128no—
1764C23—4128no—
1765C23—41536no—
1766C23—4128no—
1767C23—4128no—
1768C23—4128no—
1769C23—4128no—
1770C23—4128no—
1771C23—464no—
1772C23—464no—
1773C23—464no—
1774C23—41536no—
1775C23—41536no—
1776C23—43072no—
1777C23—4128no—
1778C23—4128no—
1779C23—4128no—
1780C23—464no—
1781C23—464no—
1782C23—48192no—
1783C23—4128no—
1784C23—43072no—
1785C23—448no—
1786C23—448no—
1787C23—448no—
1788C23—4128no—
1789C23—4256no—
1790C23—4256no—
1791C23—4128no—
1792C23—448no—
1793C23—448no—
1794C23—464no—
1795C23—448no—
1796C23—448no—
1797C23—448no—
1798C23—448no—
1799C23—448no—
1800C23—424no—
1801C23—448no—
1802C23—448no—
1803C23—448no—
1804C23—448no—
1805C23—448no—
1806C23—424no—
1807C23—464no—
1808C23—448no—
1809C23—424no—
1810C23—448no—
1811C23—448no—
1812C23—448no—
1813C23—864no—
1814C23—864no—
1815C23—8768no—
1816C23—864no—
1817C23—8128no—
1818C23C2×#535196yes—
1819C23C2×#535116yes—
1820C23C2×#546196yes—
1821C23C2×#546116yes—
1822C23#3484116yes—
1823C23#3490132yes—
1824C23#3532132yes—
1825C23C24×D418yes—
1826C23C24×D418yes—
1827C23C24×D418yes—
1828C23C24×D416yes—
1829C23C23×#41116yes—
1830C23C23×#4118yes—
1831C23C23×#4116yes—
1832C23C22×H(5,𝔽2)116yes—
1833C23C22×H(5,𝔽2)116yes—
1834C23C22×H(5,𝔽2)18yes—
1835C23C22×H(5,𝔽2)112yes—
1836C23C22×H(5,𝔽2)112yes—
1837C23C22×H(5,𝔽2)16yes—
1838C23C2711yescharacteristic
1839Q8—832no—
1840D4—4128no—
1841D4—4128no—
1842D4—4128no—
1843D4—4128no—
1844D4—4128no—
1845D4—464no—
1846D4—4128no—
1847D4—464no—
1848D4—864no—
1849D4—832no—
1850D4—864no—
1851D4—864no—
1852C2×C4—248no—
1853C2×C4—248no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—24no—
1857C2×C4—28no—
1858C2×C4—24no—
1859C2×C4—28no—
1860C2×C4—2128no—
1861C2×C4—248no—
1862C2×C4—248no—
1863C2×C4—24no—
1864C2×C4—24no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—24no—
1868C2×C4—28no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—24no—
1872C2×C4—28no—
1873C2×C4—28no—
1874C2×C4—28no—
1875C2×C4—28no—
1876C2×C4—28no—
1877C2×C4—28no—
1878C2×C4—28no—
1879C2×C4—28no—
1880C2×C4—28no—
1881C2×C4—28no—
1882C2×C4—28no—
1883C2×C4—28no—
1884C2×C4—28no—
1885C2×C4—24no—
1886C2×C4—28no—
1887C2×C4—28no—
1888C2×C4—28no—
1889C2×C4—28no—
1890C2×C4—28no—
1891C2×C4—28no—
1892C2×C4—28no—
1893C2×C4—464no—
1894C2×C4—464no—
1895C2×C4—424no—
1896C2×C4—424no—
1897C2×C4—424no—
1898C2×C4—448no—
1899C2×C4—464no—
1900C2×C4—424no—
1901C2×C4—424no—
1902C2×C4—448no—
1903C2×C4—424no—
1904C2×C4—424no—
1905C2×C4—448no—
1906C2×C4—448no—
1907C2×C4—448no—
1908C2×C4—832no—
1909C2×C4—864no—
1910C2×C4—832no—
1911C2×C4C24×D418yes—
1912C2×C4C24×D418yes—
1913C2×C4C24×D418yes—
1914C2×C4C24×D418yes—
1915C22—216no—
1916C22—216no—
1917C22—28no—
1918C22—28no—
1919C22—28no—
1920C22—28no—
1921C22—216no—
1922C22—216no—
1923C22—2192no—
1924C22—2192no—
1925C22—216no—
1926C22—28no—
1927C22—216no—
1928C22—28no—
1929C22—216no—
1930C22—28no—
1931C22—216no—
1932C22—216no—
1933C22—216no—
1934C22—4256no—
1935C22—4256no—
1936C22—4256no—
1937C22—4512no—
1938C22—4512no—
1939C22—48no—
1940C22—48no—
1941C22—48no—
1942C22—48no—
1943C22—48no—
1944C22—48no—
1945C22—48no—
1946C22—48no—
1947C22—48no—
1948C22—48no—
1949C22—4192no—
1950C22—496no—
1951C22—4192no—
1952C22—48no—
1953C22—48no—
1954C22—48no—
1955C22—48no—
1956C22—44no—
1957C22—48no—
1958C22—44no—
1959C22—44no—
1960C22—48no—
1961C22—48no—
1962C22—48no—
1963C22—48no—
1964C22—8128no—
1965C22—848no—
1966C22—896no—
1967C22#37833164yesdirect product factor
1968C22C22×#535116yes—
1969C22C22×#535112yes—
1970C22C22×#546116yes—
1971C22C22×#546112yes—
1972C22C2×#3532124yes—
1973C22C2×#3484112yes—
1974C22C2×#3490124yes—
1975C22C25×D411yescharacteristic
1976C22C24×#4111yescharacteristic
1977C22C23×H(5,𝔽2)11yescharacteristic
1978C22C23×H(5,𝔽2)12yes—
1979C22C23×H(5,𝔽2)12yes—
1980C4—28no—
1981C4—28no—
1982C4—28no—
1983C4—28no—
1984C4—48no—
1985C4—48no—
1986C4—48no—
1987C4—44no—
1988C4—44no—
1989C4—48no—
1990C4—44no—
1991C4—44no—
1992C4—44no—
1993C4—44no—
1994C4—44no—
1995C4—48no—
1996C2—216no—
1997C2—216no—
1998C2—416no—
1999C2—48no—
2000C2—416no—
2001C2—84no—
2002C2—88no—
2003C2C2×#37833124yesdirect product factor
2004C2C23×#53511yescharacteristic
2005C2C23×#54611yescharacteristic
2006C2C22×#348411yescharacteristic
2007C2C22×#349012yes—
2008C2C22×#353212yes—
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC23C27
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#551C2semidirect
2. C24×#120C2semidirect
3. C2×#37833C2direct (N × H)
4. C22×#2670C2semidirect
5. C22×#2685C2semidirect
6. C22×#2685C2semidirect
7. C22×#2678C2semidirect
8. C22×#2846C2semidirect
9. C22×#2539C2semidirect
10. C22×#2482C2semidirect
11. C22×#2411C2semidirect
12. C22×#2411C2semidirect
13. C22×#2435C2semidirect
14. C22×#2408C2semidirect
15. C22×#2472C2semidirect
16. C22×#2405C2semidirect
17. C22×#2424C2semidirect
18. C22×#2410C2semidirect
19. C22×#2626C2semidirect
20. C22×#2613C2semidirect
21. C22×#2342C2semidirect
22. C22×#2321C2semidirect
23. C22×#2309C2semidirect
24. C23×#379C2semidirect
30. C22×#551C22semidirect
31. C23×#126C22semidirect
32. C23×#126C22semidirect
33. C23×#124C22semidirect
34. C23×#124C22semidirect
35. C23×#123C22semidirect
36. C23×#123C22semidirect
37. C23×#123C22semidirect
38. C23×#123C22semidirect
39. C23×C22⋊Q8C22semidirect
40. C23×C22⋊Q8C22semidirect
41. C23×#121C22semidirect
42. C23×#121C22semidirect
51. C23×#120C22semidirect
52. C23×#120C22semidirect
53. C23×#120C22semidirect
54. C23×#120C22semidirect
55. C23×C4×D4C22semidirect
56. C23×C4×D4C22semidirect
57. C23×#117C22semidirect
58. C23×#117C22semidirect
59. C23×#117C22semidirect
65. C24×C22⋊C4C22semidirect
66. C24×C22⋊C4C22semidirect
67. C2×#2685C22semidirect
68. C2×#2685C22semidirect
69. C2×#2678C22semidirect
70. C2×#2670C22semidirect
71. #37833C22direct (N × H)
72. C2×#2846C22semidirect
73. C2×#2539C22semidirect
74. C2×#2482C22semidirect
75. C2×#2411C22semidirect
76. C2×#2411C22semidirect
77. C2×#2435C22semidirect
78. C2×#2408C22semidirect
79. C2×#2472C22semidirect
80. C2×#2405C22semidirect
81. C2×#2424C22semidirect
82. C2×#2410C22semidirect
83. C2×#2626C22semidirect
84. C2×#2613C22semidirect
85. C22×#399C22semidirect
86. C22×#399C22semidirect
87. C22×#397C22semidirect
88. C22×#396C22semidirect
89. C22×#396C22semidirect
90. C22×#396C22semidirect
91. C22×#394C22semidirect
92. C22×#394C22semidirect
93. C22×#394C22semidirect
94. C22×#394C22semidirect
95. C22×#394C22semidirect
96. C22×#394C22semidirect
97. C22×#394C22semidirect
98. C22×#394C22semidirect
99. C22×#394C22semidirect
100. C22×#393C22semidirect
101. C22×#392C22semidirect
102. C22×#392C22semidirect
103. C22×#392C22semidirect
104. C22×#392C22semidirect
105. C2×#2342C22semidirect
106. C2×#2321C22semidirect
107. C2×#2309C22semidirect
108. C22×#390C22semidirect
109. C22×#390C22semidirect
110. C22×#390C22semidirect
111. C22×#390C22semidirect
112. C22×#390C22semidirect
113. C22×#390C22semidirect
114. C22×#390C22semidirect
115. C22×#390C22semidirect
116. C22×#388C22semidirect
117. C22×#388C22semidirect
118. C22×#388C22semidirect
119. C22×#388C22semidirect
120. C22×#388C22semidirect
121. C22×#388C22semidirect
122. C22×#388C22semidirect
123. C22×#386C22semidirect
124. C22×#386C22semidirect
125. C22×#386C22semidirect
126. C22×#386C22semidirect
127. C22×#385C22semidirect
128. C22×#385C22semidirect
129. C22×#385C22semidirect
130. C22×#385C22semidirect
131. C22×#381C22semidirect
132. C22×#380C22semidirect
140. C22×#379C22semidirect
141. C22×#379C22semidirect
142. C22×#379C22semidirect
143. C22×#379C22semidirect
144. C22×#379C22semidirect
145. C22×#379C22semidirect
146. C22×#379C22semidirect
147. C22×#379C22semidirect
148. C22×C4×C22⋊C4C22semidirect
149. C22×C4×C22⋊C4C22semidirect
162. C24×Q8C23semidirect
184. C24×D4C23semidirect
191. C25×C4C23semidirect
193. C2×#551C23semidirect
196. C22×#126C23semidirect
197. C22×#126C23semidirect
200. C22×#124C23semidirect
201. C22×#124C23semidirect
206. C22×#123C23semidirect
207. C22×#123C23semidirect
208. C22×#123C23semidirect
209. C22×#123C23semidirect
212. C22×C22⋊Q8C23semidirect
213. C22×C22⋊Q8C23semidirect
216. C22×#121C23semidirect
217. C22×#121C23semidirect
236. C22×#120C23semidirect
237. C22×#120C23semidirect
238. C22×#120C23semidirect
239. C22×#120C23semidirect
242. C22×C4×D4C23semidirect
243. C22×C4×D4C23semidirect
247. C22×#117C23semidirect
248. C22×#117C23semidirect
249. C22×#117C23semidirect
250. C23×C4⋊C4C23semidirect
251. C23×C4⋊C4C23semidirect
252. C23×C4⋊C4C23semidirect
253. C23×C4⋊C4C23semidirect
254. C23×C4⋊C4C23semidirect
255. C23×C4⋊C4C23semidirect
256. C23×C4⋊C4C23semidirect
257. C23×C4⋊C4C23semidirect
258. C23×C4⋊C4C23semidirect
259. C23×C4⋊C4C23semidirect
260. C23×C4⋊C4C23semidirect
261. C23×C4⋊C4C23semidirect
262. C23×C4⋊C4C23semidirect
269. C23×C22⋊C4D4semidirect
311. C23×C22⋊C4C23semidirect
312. C23×C22⋊C4C23semidirect
313. C23×C22⋊C4C23semidirect
314. C23×C22⋊C4C23semidirect
315. C23×C22⋊C4C23semidirect
316. C23×C22⋊C4C23semidirect
317. C23×C22⋊C4C23semidirect
318. C23×C22⋊C4C23semidirect
319. C23×C22⋊C4C23semidirect
320. C23×C22⋊C4C23semidirect
321. C23×C22⋊C4C23semidirect
322. C23×C22⋊C4C23semidirect
323. C23×C22⋊C4C23semidirect
324. C23×C42C23semidirect
325. C23×C42C23semidirect
326. C23×C42C23semidirect
327. C23×C42C23semidirect
328. C23×C42C23semidirect
329. #2846C23semidirect
330. #2685C23semidirect
331. #2685C23semidirect
332. #2678C23semidirect
333. #2670C23semidirect
334. #2626C23semidirect
335. #2613C23semidirect
336. #2539C23semidirect
337. #2482C23semidirect
338. #2472C23semidirect
339. #2435C23semidirect
340. #2424C23semidirect
341. #2411C23semidirect
342. #2411C23semidirect
343. #2410C23semidirect
344. #2408C23semidirect
345. #2405C23semidirect
346. C2×#399C23semidirect
347. C2×#399C23semidirect
348. C2×#397C23semidirect
349. C2×#396C23semidirect
350. C2×#396C23semidirect
351. C2×#396C23semidirect
352. C2×#394C23semidirect
353. C2×#394C23semidirect
354. C2×#394C23semidirect
355. C2×#394C23semidirect
356. C2×#394C23semidirect
357. C2×#394C23semidirect
358. C2×#394C23semidirect
359. C2×#394C23semidirect
360. C2×#394C23semidirect
361. C2×#393C23semidirect
362. C2×#392C23semidirect
363. C2×#392C23semidirect
364. C2×#392C23semidirect
365. C2×#392C23semidirect
366. #2342C23semidirect
367. #2321C23semidirect
368. #2309C23semidirect
369. C2×#390C23semidirect
370. C2×#390C23semidirect
371. C2×#390C23semidirect
372. C2×#390C23semidirect
373. C2×#390C23semidirect
374. C2×#390C23semidirect
375. C2×#390C23semidirect
376. C2×#390C23semidirect
377. C2×#388C23semidirect
378. C2×#388C23semidirect
379. C2×#388C23semidirect
380. C2×#388C23semidirect
381. C2×#388C23semidirect
382. C2×#388C23semidirect
383. C2×#388C23semidirect
384. C2×#386C23semidirect
385. C2×#386C23semidirect
386. C2×#386C23semidirect
387. C2×#386C23semidirect
388. C2×#385C23semidirect
389. C2×#385C23semidirect
390. C2×#385C23semidirect
391. C2×#385C23semidirect
392. C2×#381C23semidirect
393. C2×#380C23semidirect
401. C2×#379C23semidirect
402. C2×#379C23semidirect
403. C2×#379C23semidirect
404. C2×#379C23semidirect
405. C2×#379C23semidirect
406. C2×#379C23semidirect
407. C2×#379C23semidirect
408. C2×#379C23semidirect
409. C2×C4×C22⋊C4C23semidirect
410. C2×C4×C22⋊C4C23semidirect
411. C22×#95C23semidirect
412. C22×#95C23semidirect
413. C22×#95C23semidirect
414. C22×#95C23semidirect
415. C22×#95C23semidirect
416. C22×#95C23semidirect
417. C22×#95C23semidirect
418. C22×#95C23semidirect
479. C23×Q8C24semidirect
538. C23×D4C24semidirect
577. C24×C4C24semidirect
581. C2×#126C24semidirect
582. C2×#126C24semidirect
585. C2×#124C24semidirect
586. C2×#124C24semidirect
591. C2×#123C24semidirect
592. C2×#123C24semidirect
593. C2×#123C24semidirect
594. C2×#123C24semidirect
597. C2×C22⋊Q8C24semidirect
598. C2×C22⋊Q8C24semidirect
601. C2×#121C24semidirect
602. C2×#121C24semidirect
621. C2×#120C24semidirect
622. C2×#120C24semidirect
623. C2×#120C24semidirect
626. C2×C4×D4C24semidirect
627. C2×C4×D4C24semidirect
631. C2×#117C24semidirect
632. C2×#117C24semidirect
633. C2×#117C24semidirect
647. C22×C4⋊C4C24semidirect
648. C22×C4⋊C4C24semidirect
649. C22×C4⋊C4C24semidirect
650. C22×C4⋊C4C24semidirect
651. C22×C4⋊C4C24semidirect
652. C22×C4⋊C4C24semidirect
653. C22×C4⋊C4C24semidirect
654. C22×C4⋊C4C24semidirect
655. C22×C4⋊C4C24semidirect
656. C22×C4⋊C4C24semidirect
657. C22×C4⋊C4C24semidirect
658. C22×C4⋊C4C24semidirect
659. C22×C4⋊C4C24semidirect
713. C22×C22⋊C4C2×D4semidirect
755. C22×C22⋊C4C24semidirect
756. C22×C22⋊C4C24semidirect
757. C22×C22⋊C4C24semidirect
758. C22×C22⋊C4C24semidirect
759. C22×C22⋊C4C24semidirect
760. C22×C22⋊C4C24semidirect
761. C22×C22⋊C4C24semidirect
762. C22×C22⋊C4C24semidirect
763. C22×C22⋊C4C24semidirect
764. C22×C22⋊C4C24semidirect
765. C22×C22⋊C4C24semidirect
766. C22×C22⋊C4C24semidirect
767. C22×C22⋊C4C24semidirect
773. C22×C42C24semidirect
774. C22×C42C24semidirect
775. C22×C42C24semidirect
776. C22×C42C24semidirect
777. C22×C42C24semidirect
778. #399C24semidirect
779. #399C24semidirect
780. #397C24semidirect
781. #396C24semidirect
782. #396C24semidirect
783. #396C24semidirect
784. #394C24semidirect
785. #394C24semidirect
786. #394C24semidirect
787. #394C24semidirect
788. #394C24semidirect
789. #394C24semidirect
790. #394C24semidirect
791. #394C24semidirect
792. #394C24semidirect
793. #393C24semidirect
794. #392C24semidirect
795. #392C24semidirect
796. #392C24semidirect
797. #392C24semidirect
798. #390C24semidirect
799. #390C24semidirect
800. #390C24semidirect
801. #390C24semidirect
802. #390C24semidirect
803. #390C24semidirect
804. #390C24semidirect
805. #390C24semidirect
806. #388C24semidirect
807. #388C24semidirect
808. #388C24semidirect
809. #388C24semidirect
810. #388C24semidirect
811. #388C24semidirect
812. #388C24semidirect
813. #386C24semidirect
814. #386C24semidirect
815. #386C24semidirect
816. #386C24semidirect
817. #385C24semidirect
818. #385C24semidirect
819. #385C24semidirect
820. #385C24semidirect
821. #381C24semidirect
822. #380C24semidirect
830. #379C24semidirect
831. #379C24semidirect
832. #379C24semidirect
833. #379C24semidirect
834. #379C24semidirect
835. #379C24semidirect
836. #379C24semidirect
837. C4×C22⋊C4C24semidirect
838. C4×C22⋊C4C24semidirect
839. C2×#95C24semidirect
840. C2×#95C24semidirect
841. C2×#95C24semidirect
842. C2×#95C24semidirect
843. C2×#95C24semidirect
844. C2×#95C24semidirect
845. C2×#95C24semidirect
846. C2×#95C24semidirect
984. C22×Q8C25semidirect
1052. C22×D4C25semidirect
1138. C23×C4C25semidirect
1179. C2×C4⋊C4C25semidirect
1180. C2×C4⋊C4C25semidirect
1181. C2×C4⋊C4C25semidirect
1182. C2×C4⋊C4C25semidirect
1183. C2×C4⋊C4C25semidirect
1184. C2×C4⋊C4C25semidirect
1185. C2×C4⋊C4C25semidirect
1186. C2×C4⋊C4C25semidirect
1187. C2×C4⋊C4C25semidirect
1188. C2×C4⋊C4C25semidirect
1189. C2×C4⋊C4C25semidirect
1190. C2×C4⋊C4C25semidirect
1191. C2×C4⋊C4C25semidirect
1245. C2×C22⋊C4C22×D4semidirect
1282. C2×C22⋊C4C25semidirect
1283. C2×C22⋊C4C25semidirect
1284. C2×C22⋊C4C25semidirect
1285. C2×C22⋊C4C25semidirect
1286. C2×C22⋊C4C25semidirect
1287. C2×C22⋊C4C25semidirect
1288. C2×C22⋊C4C25semidirect
1289. C2×C22⋊C4C25semidirect
1290. C2×C22⋊C4C25semidirect
1291. C2×C22⋊C4C25semidirect
1292. C2×C22⋊C4C25semidirect
1298. C2×C42C25semidirect
1299. C2×C42C25semidirect
1300. C2×C42C25semidirect
1301. C2×C42C25semidirect
1302. C2×C42C25semidirect
1303. #95C25semidirect
1304. #95C25semidirect
1305. #95C25semidirect
1306. #95C25semidirect
1307. #95C25semidirect
1308. #95C25semidirect
1309. #95C25semidirect
1310. #95C25semidirect
1967. C22#37833direct (N × H)
2003. C2C2×#37833direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5512
C24×#1202
C2×#378332
C22×#26702
C22×#26852
C22×#26782
C22×#28462
C22×#25392
C22×#24822
C22×#24112
C22×#24352
C22×#24082
C22×#24722
C22×#24052
C22×#24242
C22×#24102
C22×#26262
C22×#26132
C22×#23422
C22×#23212
C22×#23092
C23×#3792