Finite Group Databasebeta

← C22×#59408 #72291777

Subgroups — C22×#59408 #72291777

Order 1024.

119841 conjugacy classes of subgroups.

The subgroup lattice has 1953 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#553C211yesmaximal, characteristic, complemented
2C23×D42C211yesmaximal, characteristic, complemented
3C2×#59408C2196yesmaximal, direct product factor
4C22×#2703C212yesmaximal, complemented
5C22×#2685C212yesmaximal, complemented
6C22×#2559C212yesmaximal, complemented
7C22×#2539C212yesmaximal, complemented
8C22×#2490C211yesmaximal, characteristic, complemented
9C22×#2487C211yesmaximal, characteristic, complemented
10C22×#2414C211yesmaximal, characteristic, complemented
11C22×#2454C211yesmaximal, characteristic, complemented
12C22×#2445C211yesmaximal, characteristic, complemented
13C22×#2428C211yesmaximal, characteristic, complemented
14C22×#2408C211yesmaximal, characteristic, complemented
15C22×#2408C211yesmaximal, characteristic, complemented
16C22×#2424C212yesmaximal, complemented
17C22×#2418C212yesmaximal, complemented
18C22×#2410C212yesmaximal, complemented
19C22×#2363C211yesmaximal, characteristic, complemented
20C22×D4×C22⋊C4C212yesmaximal, complemented
21C22×D4×C22⋊C4C211yesmaximal, characteristic, complemented
22C22×C4×#121C211yesmaximal, characteristic, complemented
23C22×C4×#121C211yesmaximal, characteristic, complemented
24C23×#390C211yesmaximal, characteristic, complemented
25C25×D4C2211yescharacteristic
26C25×D4C2212yes—
27C25×D4C2211yescharacteristic
28C22×#553—232no—
29C22×#553C22148yescomplemented
30C22×D42—232no—
31C22×D42C22148yescomplemented
32C23×#127C2211yescharacteristic
33C23×#126C2212yescomplemented
34C23×#125C2211yescharacteristic, complemented
35C23×#123C2212yescomplemented
36C23×#123C2212yescomplemented
37C23×#121C2211yescharacteristic
38C23×#121C2212yes—
39C23×#121C2211yescharacteristic
40C23×#121C2211yescharacteristic
41C23×#121C2211yescharacteristic
42C23×#121C2212yescomplemented
43C23×#121C2211yescharacteristic, complemented
44C23×#121C2212yescomplemented
45C23×#121C2211yescharacteristic, complemented
46C23×#120C2212yes—
47C23×#120C2212yes—
48C23×#120C2212yescomplemented
49C23×#120C2212yescomplemented
50C23×C4×D4C2211yescharacteristic
51C23×C4×D4C2211yescharacteristic
52C23×C4×D4C2211yescharacteristic, complemented
53C23×C4×D4C2212yescomplemented
54C23×C4×D4C2211yescharacteristic, complemented
55C23×C4×D4C2212yescomplemented
56C23×C4×D4C2211yescharacteristic, complemented
57C23×C4×D4C2211yescharacteristic, complemented
58C23×#117C2211yescharacteristic, complemented
59C24×C4⋊C4C2211yescharacteristic, complemented
60C24×C22⋊C4C2212yescomplemented
61C24×C22⋊C4C2212yescomplemented
62C24×C22⋊C4C2212yescomplemented
63C24×C42C2211yescharacteristic, complemented
64#59408C2211024yesdirect product factor
65C2×#2703C22196yescomplemented
66C2×#2685C22196yescomplemented
67C2×#2559C22196yescomplemented
68C2×#2539C22196yescomplemented
69C2×#2490C22148yescomplemented
70C2×#2487C22148yescomplemented
71C2×#2414C22148yescomplemented
72C2×#2454C22148yescomplemented
73C2×#2445C22148yescomplemented
74C2×#2428C22148yescomplemented
75C2×#2408C22148yescomplemented
76C2×#2408C22148yescomplemented
77C2×#2424C22196yescomplemented
78C2×#2418C22196yescomplemented
79C2×#2410C22196yescomplemented
80C22×#400C2212yescomplemented
81C22×#399C2212yescomplemented
82C22×#399C2212yescomplemented
83C22×#397C2212yescomplemented
84C22×#396C2212yescomplemented
85C22×#394C2212yescomplemented
86C22×#394C2212yescomplemented
87C22×#394C2212yescomplemented
88C22×#394C2212yescomplemented
89C22×#394C2212yescomplemented
90C22×#394C2212yescomplemented
91C22×#394C2212yescomplemented
92C22×#392C2212yescomplemented
93C22×#392C2212yescomplemented
94C22×#392C2212yescomplemented
95C22×#392C2212yescomplemented
96C2×#2363C22148yescomplemented
97C2×D4×C22⋊C4C22196yescomplemented
98C2×D4×C22⋊C4C22148yescomplemented
99C2×C4×#121C22148yescomplemented
100C2×C4×#121C22148yescomplemented
101C22×#390C2211yescharacteristic
102C22×#390C2211yescharacteristic
103C22×#390C2211yescharacteristic
104C22×#390C2212yescomplemented
105C22×#390C2212yescomplemented
106C22×#390C2211yescharacteristic, complemented
107C22×#390C2211yescharacteristic, complemented
108C22×#390C2212yescomplemented
109C22×#390C2211yescharacteristic, complemented
110C22×#390C2211yescharacteristic, complemented
111C22×#390C2212yescomplemented
112C22×#390C2211yescharacteristic, complemented
113C22×#390C2212yescomplemented
114C22×#390C22148yescomplemented
115C22×#389C2211yescharacteristic, complemented
116C22×#389C2211yescharacteristic, complemented
117C22×#389C2211yescharacteristic, complemented
118C22×#389C2211yescharacteristic, complemented
119C22×#388C2211yescharacteristic, complemented
120C22×#388C2212yescomplemented
121C22×#388C2212yescomplemented
122C22×#388C2211yescharacteristic, complemented
123C22×#388C2212yescomplemented
124C22×#388C2212yescomplemented
125C22×#386C2211yescharacteristic
126C22×#386C2212yes—
127C22×#386C2212yescomplemented
128C22×#386C2211yescharacteristic, complemented
129C22×#386C2212yescomplemented
130C22×#386C2212yescomplemented
131C22×#386C2212yescomplemented
132C22×#386C2212yescomplemented
133C22×#386C2212yescomplemented
134C22×#385C2212yescomplemented
135C22×#385C2212yescomplemented
136C22×#380C2211yescharacteristic, complemented
137C22×#380C2211yescharacteristic, complemented
138C22×#380C2212yescomplemented
139C22×#380C2211yescharacteristic, complemented
140C22×#380C2211yescharacteristic, complemented
141C22×#379C2212yescomplemented
142C22×#379C2212yescomplemented
143C22×#379C2212yescomplemented
144C22×C4×C4⋊C4C2211yescharacteristic, complemented
145C22×C4×C4⋊C4C2211yescharacteristic, complemented
146C22×C4×C22⋊C4C2211yescharacteristic, complemented
147C22×C4×C22⋊C4C2211yescharacteristic, complemented
148C22×C4×C22⋊C4C2212yescomplemented
149C22×C4×C22⋊C4C2212yescomplemented
150C27C2312yes—
151C27C2312yes—
152C24×D4—232no—
153C24×D4—216no—
154C24×D4—216no—
155C24×D4—232no—
156C24×D4—216no—
157C24×D4—216no—
158C24×D4—48no—
159C24×D4—48no—
160C24×D4—416no—
161C24×D4C2311yescharacteristic
162C24×D4C2311yescharacteristic
163C24×D4C23148yes—
164C24×D4C23124yes—
165C24×D4C23124yes—
166C24×D4C2312yes—
167C24×D4C2312yes—
168C24×D4C2312yes—
169C24×D4C2312yes—
170C24×D4C2311yescharacteristic
171C24×D4C2312yes—
172C24×D4C2311yescharacteristic
173C24×D4C2311yescharacteristic
174C24×D4C2311yescharacteristic
175C24×D4C2312yes—
176C24×D4C2312yes—
177C24×D4C2312yes—
178C24×D4C2312yes—
179C25×C4C2311yescharacteristic
180C25×C4C2311yescharacteristic
181C25×C4C2312yes—
182C25×C4C2311yescharacteristic
183C25×C4C2311yescharacteristic
184C25×C4C2311yescharacteristic
185C25×C4C2312yes—
186C25×C4C2312yes—
187C25×C4C2312yes—
188C2×#553—2768no—
189C2×#553C231256yescomplemented
190C2×D42—2768no—
191C2×D42C231256yescomplemented
192C22×#127—216no—
193C22×#127C23124yes—
194C22×#126—232no—
195C22×#126C23148yescomplemented
196C22×#125—216no—
197C22×#125C23124yescomplemented
198C22×#123—232no—
199C22×#123—416no—
200C22×#123C23148yescomplemented
201C22×#123C23148yescomplemented
202C22×#121—216no—
203C22×#121—232no—
204C22×#121—216no—
205C22×#121—216no—
206C22×#121—216no—
207C22×#121—232no—
208C22×#121—416no—
209C22×#121—48no—
210C22×#121D4132yescomplemented
211C22×#121C23148yes—
212C22×#121C23124yes—
213C22×#121C23124yes—
214C22×#121C23124yes—
215C22×#121C23124yes—
216C22×#121C23148yescomplemented
217C22×#121C23124yescomplemented
218C22×#121C23148yescomplemented
219C22×#121C23124yescomplemented
220C22×#120—232no—
221C22×#120—232no—
222C22×#120—416no—
223C22×#120—416no—
224C22×#120C23148yes—
225C22×#120C23148yes—
226C22×#120C23148yescomplemented
227C22×#120C23148yescomplemented
228C22×C4×D4—232no—
229C22×C4×D4—216no—
230C22×C4×D4—216no—
231C22×C4×D4—216no—
232C22×C4×D4—216no—
233C22×C4×D4—416no—
234C22×C4×D4—48no—
235C22×C4×D4—48no—
236C22×C4×D4C23124yes—
237C22×C4×D4C23124yes—
238C22×C4×D4C23148yescomplemented
239C22×C4×D4C23124yescomplemented
240C22×C4×D4C23124yescomplemented
241C22×C4×D4C23148yescomplemented
242C22×C4×D4C23124yescomplemented
243C22×C4×D4C23124yescomplemented
244C22×#117—216no—
245C22×#117C23124yescomplemented
246C23×C4⋊C4—216no—
247C23×C4⋊C4C2311yescharacteristic
248C23×C4⋊C4C2311yescharacteristic
249C23×C4⋊C4C2312yes—
250C23×C4⋊C4C2311yescharacteristic
251C23×C4⋊C4C2311yescharacteristic
252C23×C4⋊C4C2312yes—
253C23×C4⋊C4C2311yescharacteristic
254C23×C4⋊C4C2311yescharacteristic
255C23×C4⋊C4C2311yescharacteristic
256C23×C4⋊C4C2312yes—
257C23×C4⋊C4C2311yescharacteristic
258C23×C4⋊C4C2311yescharacteristic
259C23×C4⋊C4C2312yes—
260C23×C4⋊C4C2312yes—
261C23×C4⋊C4C2312yes—
262C23×C4⋊C4C2311yescharacteristic
263C23×C4⋊C4C23124yescomplemented
264C23×C22⋊C4—416no—
265C23×C22⋊C4—416no—
266C23×C22⋊C4—416no—
267C23×C22⋊C4C2311yescharacteristic
268C23×C22⋊C4C2312yes—
269C23×C22⋊C4C2312yes—
270C23×C22⋊C4C2312yes—
271C23×C22⋊C4C2312yes—
272C23×C22⋊C4C2312yes—
273C23×C22⋊C4C2311yescharacteristic
274C23×C22⋊C4C2312yes—
275C23×C22⋊C4C2311yescharacteristic
276C23×C22⋊C4C2311yescharacteristic
277C23×C22⋊C4C2312yes—
278C23×C22⋊C4C2312yes—
279C23×C22⋊C4C2312yes—
280C23×C22⋊C4C2311yescharacteristic
281C23×C22⋊C4C2312yes—
282C23×C22⋊C4C2312yes—
283C23×C22⋊C4C2312yes—
284C23×C22⋊C4C2311yescharacteristic
285C23×C22⋊C4C2311yescharacteristic
286C23×C22⋊C4C2311yescharacteristic
287C23×C22⋊C4C2312yes—
288C23×C22⋊C4C2312yes—
289C23×C22⋊C4C2312yes—
290C23×C22⋊C4C2312yes—
291C23×C22⋊C4C2312yes—
292C23×C22⋊C4C2312yes—
293C23×C22⋊C4C2311yescharacteristic
294C23×C22⋊C4C2312yes—
295C23×C22⋊C4C2312yes—
296C23×C22⋊C4C2311yescharacteristic
297C23×C22⋊C4C2312yes—
298C23×C22⋊C4C2312yes—
299C23×C22⋊C4C2312yes—
300C23×C22⋊C4C2312yes—
301C23×C22⋊C4C2312yes—
302C23×C22⋊C4C2312yes—
303C23×C22⋊C4C23148yescomplemented
304C23×C22⋊C4C23148yescomplemented
305C23×C22⋊C4C23148yescomplemented
306C23×C42—48no—
307C23×C42C2311yescharacteristic
308C23×C42C2311yescharacteristic
309C23×C42C2312yes—
310C23×C42C2311yescharacteristic
311C23×C42C2311yescharacteristic
312C23×C42C2311yescharacteristic
313C23×C42C2311yescharacteristic
314C23×C42C2312yes—
315C23×C42C23124yescomplemented
316#2703C231512yescomplemented
317#2685C231512yescomplemented
318#2559C231512yescomplemented
319#2539C231512yescomplemented
320#2490C231256yescomplemented
321#2487C231256yescomplemented
322#2454C231256yescomplemented
323#2445C231256yescomplemented
324#2428C231256yescomplemented
325#2424C231512yescomplemented
326#2418C231512yescomplemented
327#2414C231256yescomplemented
328#2410C231512yescomplemented
329#2408C231256yescomplemented
330#2408C231256yescomplemented
331C2×#400C23148yescomplemented
332C2×#399C23148yescomplemented
333C2×#399C23148yescomplemented
334C2×#397C23148yescomplemented
335C2×#396C23148yescomplemented
336C2×#394C23148yescomplemented
337C2×#394C23148yescomplemented
338C2×#394C23148yescomplemented
339C2×#394C23148yescomplemented
340C2×#394C23148yescomplemented
341C2×#394C23148yescomplemented
342C2×#394C23148yescomplemented
343C2×#392C23148yescomplemented
344C2×#392C23148yescomplemented
345C2×#392C23148yescomplemented
346C2×#392C23148yescomplemented
347#2363C231256yescomplemented
348D4×C22⋊C4C231512yescomplemented
349D4×C22⋊C4C231256yescomplemented
350C4×#121C231256yescomplemented
351C4×#121C231256yescomplemented
352C2×#390C23124yes—
353C2×#390C23124yes—
354C2×#390C23124yes—
355C2×#390C23124yescomplemented
356C2×#390C23148yescomplemented
357C2×#390C23148yescomplemented
358C2×#390C23148yescomplemented
359C2×#390C23148yescomplemented
360C2×#390C23124yescomplemented
361C2×#390C23124yescomplemented
362C2×#390C23124yescomplemented
363C2×#390C23124yescomplemented
364C2×#390C23148yescomplemented
365C2×#390C231256yescomplemented
366C2×#389C23124yescomplemented
367C2×#389C23124yescomplemented
368C2×#389C23124yescomplemented
369C2×#389C23124yescomplemented
370C2×#388C23148yescomplemented
371C2×#388C23148yescomplemented
372C2×#388C23148yescomplemented
373C2×#388C23124yescomplemented
374C2×#388C23148yescomplemented
375C2×#388C23124yescomplemented
376C2×#386C23124yes—
377C2×#386C23148yes—
378C2×#386C23148yescomplemented
379C2×#386C23148yescomplemented
380C2×#386C23148yescomplemented
381C2×#386C23148yescomplemented
382C2×#386C23148yescomplemented
383C2×#386C23148yescomplemented
384C2×#386C23124yescomplemented
385C2×#385C23148yescomplemented
386C2×#385C23148yescomplemented
387C2×#380C23148yescomplemented
388C2×#380C23124yescomplemented
389C2×#380C23124yescomplemented
390C2×#380C23124yescomplemented
391C2×#380C23124yescomplemented
392C2×#379C23148yescomplemented
393C2×#379C23148yescomplemented
394C2×#379C23148yescomplemented
395C2×C4×C4⋊C4C23124yescomplemented
396C2×C4×C4⋊C4C23124yescomplemented
397C2×C4×C22⋊C4C23148yescomplemented
398C2×C4×C22⋊C4C23148yescomplemented
399C2×C4×C22⋊C4C23124yescomplemented
400C2×C4×C22⋊C4C23124yescomplemented
401C22×#95C2311yescharacteristic
402C22×#95C2311yescharacteristic
403C22×#95C2311yescharacteristic
404C22×#95C2312yes—
405C22×#95C2312yes—
406C22×#95C2312yes—
407C22×#95C2311yescharacteristic
408C22×#95C2311yescharacteristic
409C22×#95C2312yes—
410C22×#95C2311yescharacteristic
411C22×#95C2312yes—
412C22×#95C2312yes—
413C22×#95C2312yes—
414C26—216no—
415C26—216no—
416C26—216no—
417C26—216no—
418C26—216no—
419C26—216no—
420C26—216no—
421C26—48no—
422C26—48no—
423C26—48no—
424C26—48no—
425C26—48no—
426C26—48no—
427C26—48no—
428C26C2411yescharacteristic
429C26C2412yes—
430C26C2412yes—
431C26C2412yes—
432C26C2411yescharacteristic
433C26C24124yes—
434C26C2411yescharacteristic
435C26C24124yes—
436C23×D4—28no—
437C23×D4—216no—
438C23×D4—28no—
439C23×D4—216no—
440C23×D4—216no—
441C23×D4—216no—
442C23×D4—28no—
443C23×D4—216no—
444C23×D4—216no—
445C23×D4—216no—
446C23×D4—28no—
447C23×D4—28no—
448C23×D4—28no—
449C23×D4—216no—
450C23×D4—216no—
451C23×D4—216no—
452C23×D4—2384no—
453C23×D4—2192no—
454C23×D4—2192no—
455C23×D4—2384no—
456C23×D4—2192no—
457C23×D4—28no—
458C23×D4—216no—
459C23×D4—216no—
460C23×D4—28no—
461C23×D4—2192no—
462C23×D4—28no—
463C23×D4—216no—
464C23×D4—28no—
465C23×D4—28no—
466C23×D4—28no—
467C23×D4—28no—
468C23×D4—28no—
469C23×D4—496no—
470C23×D4—496no—
471C23×D4—4256no—
472C23×D4—48no—
473C23×D4—48no—
474C23×D4—48no—
475C23×D4—48no—
476C23×D4—44no—
477C23×D4—48no—
478C23×D4—48no—
479C23×D4—48no—
480C23×D4—48no—
481C23×D4—48no—
482C23×D4—48no—
483C23×D4—48no—
484C23×D4—48no—
485C23×D4—48no—
486C23×D4—4192no—
487C23×D4—4512no—
488C23×D4—4256no—
489C23×D4C2×D4132yes—
490C23×D4C2×D4116yes—
491C23×D4#41116yes—
492C23×D4#41116yes—
493C23×D4C24112yes—
494C23×D4C24112yes—
495C23×D4C24164yes—
496C23×D4C241128yes—
497C23×D4C24124yes—
498C23×D4C24124yes—
499C23×D4C24124yes—
500C23×D4C24124yes—
501C23×D4C24164yes—
502C23×D4C24112yes—
503C23×D4C24124yes—
504C23×D4C24112yes—
505C23×D4C24112yes—
506C23×D4C24112yes—
507C23×D4C24124yes—
508C23×D4C24124yes—
509C23×D4C24124yes—
510C23×D4C24124yes—
511C24×C4—28no—
512C24×C4—28no—
513C24×C4—28no—
514C24×C4—28no—
515C24×C4—216no—
516C24×C4—216no—
517C24×C4—216no—
518C24×C4—28no—
519C24×C4—28no—
520C24×C4—216no—
521C24×C4—28no—
522C24×C4—28no—
523C24×C4—28no—
524C24×C4—28no—
525C24×C4—28no—
526C24×C4—28no—
527C24×C4—216no—
528C24×C4—48no—
529C24×C4—44no—
530C24×C4—44no—
531C24×C4—48no—
532C24×C4—48no—
533C24×C4—48no—
534C24×C4—48no—
535C24×C4—48no—
536C24×C4—48no—
537C24×C4C2×D4116yes—
538C24×C4C24112yes—
539C24×C4C24112yes—
540C24×C4C2412yes—
541C24×C4C2411yescharacteristic
542C24×C4C2411yescharacteristic
543C24×C4C2412yes—
544C24×C4C2412yes—
545C24×C4C2411yescharacteristic
546C24×C4C2411yescharacteristic
547C24×C4C2411yescharacteristic
548C24×C4C2411yescharacteristic
549C24×C4C2411yescharacteristic
550C24×C4C2412yes—
551C24×C4C24124yes—
552C24×C4C24112yes—
553C24×C4C24112yes—
554C24×C4C24112yes—
555C24×C4C2412yes—
556C24×C4C2411yescharacteristic
557C24×C4C2411yescharacteristic
558C24×C4C2411yescharacteristic
559C24×C4C2411yescharacteristic
560C24×C4C24124yes—
561C24×C4C24124yes—
562C24×C4C24124yes—
563C24×C4C2411yescharacteristic
564#553—22048no—
565D42—22048no—
566C2×#127—2192no—
567C2×#127C24164yes—
568C2×#126—2384no—
569C2×#126C241128yescomplemented
570C2×#125—2192no—
571C2×#125C24164yescomplemented
572C2×#123—2384no—
573C2×#123—4192no—
574C2×#123C241128yescomplemented
575C2×#123C241128yescomplemented
576C2×#121—2192no—
577C2×#121—2384no—
578C2×#121—2192no—
579C2×#121—2192no—
580C2×#121—2192no—
581C2×#121—2384no—
582C2×#121—4192no—
583C2×#121—496no—
584C2×#121C2×D41384yescomplemented
585C2×#121C24164yes—
586C2×#121C24164yes—
587C2×#121C24164yes—
588C2×#121C241128yes—
589C2×#121C24164yes—
590C2×#121C24164yescomplemented
591C2×#121C241128yescomplemented
592C2×#121C24164yescomplemented
593C2×#121C241128yescomplemented
594C2×#120—2384no—
595C2×#120—2384no—
596C2×#120—4192no—
597C2×#120—4192no—
598C2×#120C241128yes—
599C2×#120C241128yes—
600C2×#120C241128yescomplemented
601C2×#120C241128yescomplemented
602C2×C4×D4—2384no—
603C2×C4×D4—2192no—
604C2×C4×D4—2192no—
605C2×C4×D4—2192no—
606C2×C4×D4—2192no—
607C2×C4×D4—496no—
608C2×C4×D4—496no—
609C2×C4×D4—4192no—
610C2×C4×D4C24164yes—
611C2×C4×D4C24164yes—
612C2×C4×D4C241128yescomplemented
613C2×C4×D4C24164yescomplemented
614C2×C4×D4C24164yescomplemented
615C2×C4×D4C241128yescomplemented
616C2×C4×D4C24164yescomplemented
617C2×C4×D4C24164yescomplemented
618C2×#117—2192no—
619C2×#117C24164yescomplemented
620C22×C4⋊C4—28no—
621C22×C4⋊C4—28no—
622C22×C4⋊C4—216no—
623C22×C4⋊C4—2192no—
624C22×C4⋊C4—28no—
625C22×C4⋊C4—216no—
626C22×C4⋊C4—28no—
627C22×C4⋊C4—216no—
628C22×C4⋊C4—28no—
629C22×C4⋊C4—28no—
630C22×C4⋊C4—28no—
631C22×C4⋊C4—28no—
632C22×C4⋊C4—48no—
633C22×C4⋊C4—44no—
634C22×C4⋊C4—48no—
635C22×C4⋊C4—48no—
636C22×C4⋊C4C2×D4116yes—
637C22×C4⋊C4C24112yes—
638C22×C4⋊C4C24112yes—
639C22×C4⋊C4C24124yes—
640C22×C4⋊C4C24124yes—
641C22×C4⋊C4C24112yes—
642C22×C4⋊C4C24124yes—
643C22×C4⋊C4C24112yes—
644C22×C4⋊C4C24112yes—
645C22×C4⋊C4C24112yes—
646C22×C4⋊C4C24112yes—
647C22×C4⋊C4C24112yes—
648C22×C4⋊C4C24112yes—
649C22×C4⋊C4C24124yes—
650C22×C4⋊C4C24124yes—
651C22×C4⋊C4C24124yes—
652C22×C4⋊C4C24112yes—
653C22×C4⋊C4C24164yescomplemented
654C22×C22⋊C4—28no—
655C22×C22⋊C4—28no—
656C22×C22⋊C4—216no—
657C22×C22⋊C4—216no—
658C22×C22⋊C4—216no—
659C22×C22⋊C4—28no—
660C22×C22⋊C4—216no—
661C22×C22⋊C4—216no—
662C22×C22⋊C4—216no—
663C22×C22⋊C4—28no—
664C22×C22⋊C4—28no—
665C22×C22⋊C4—216no—
666C22×C22⋊C4—28no—
667C22×C22⋊C4—28no—
668C22×C22⋊C4—216no—
669C22×C22⋊C4—216no—
670C22×C22⋊C4—216no—
671C22×C22⋊C4—216no—
672C22×C22⋊C4—216no—
673C22×C22⋊C4—28no—
674C22×C22⋊C4—4192no—
675C22×C22⋊C4—4192no—
676C22×C22⋊C4—4192no—
677C22×C22⋊C4—48no—
678C22×C22⋊C4—48no—
679C22×C22⋊C4—48no—
680C22×C22⋊C4—48no—
681C22×C22⋊C4—48no—
682C22×C22⋊C4—48no—
683C22×C22⋊C4—48no—
684C22×C22⋊C4—44no—
685C22×C22⋊C4—48no—
686C22×C22⋊C4—44no—
687C22×C22⋊C4—48no—
688C22×C22⋊C4—48no—
689C22×C22⋊C4—48no—
690C22×C22⋊C4—48no—
691C22×C22⋊C4—48no—
692C22×C22⋊C4C2×D4132yes—
693C22×C22⋊C4C24112yes—
694C22×C22⋊C4C24112yes—
695C22×C22⋊C4C24124yes—
696C22×C22⋊C4C24124yes—
697C22×C22⋊C4C24124yes—
698C22×C22⋊C4C24124yes—
699C22×C22⋊C4C24124yes—
700C22×C22⋊C4C24124yes—
701C22×C22⋊C4C24112yes—
702C22×C22⋊C4C24124yes—
703C22×C22⋊C4C24124yes—
704C22×C22⋊C4C24124yes—
705C22×C22⋊C4C24112yes—
706C22×C22⋊C4C24112yes—
707C22×C22⋊C4C24124yes—
708C22×C22⋊C4C24124yes—
709C22×C22⋊C4C24112yes—
710C22×C22⋊C4C24112yes—
711C22×C22⋊C4C24124yes—
712C22×C22⋊C4C24112yes—
713C22×C22⋊C4C24112yes—
714C22×C22⋊C4C24124yes—
715C22×C22⋊C4C24124yes—
716C22×C22⋊C4C24124yes—
717C22×C22⋊C4C24124yes—
718C22×C22⋊C4C24124yes—
719C22×C22⋊C4C24124yes—
720C22×C22⋊C4C24124yes—
721C22×C22⋊C4C24124yes—
722C22×C22⋊C4C24124yes—
723C22×C22⋊C4C24124yes—
724C22×C22⋊C4C24124yes—
725C22×C22⋊C4C24124yes—
726C22×C22⋊C4C24124yes—
727C22×C22⋊C4C24112yes—
728C22×C22⋊C4C24124yes—
729C22×C22⋊C4C241128yescomplemented
730C22×C22⋊C4C241128yescomplemented
731C22×C22⋊C4C241128yescomplemented
732C22×C42—216no—
733C22×C42—28no—
734C22×C42—28no—
735C22×C42—28no—
736C22×C42—28no—
737C22×C42—496no—
738C22×C42—44no—
739C22×C42—44no—
740C22×C42—48no—
741C22×C42C24112yes—
742C22×C42C24112yes—
743C22×C42C24124yes—
744C22×C42C24112yes—
745C22×C42C24112yes—
746C22×C42C24112yes—
747C22×C42C24112yes—
748C22×C42C24124yes—
749C22×C42C24164yescomplemented
750#400C241128yescomplemented
751#399C241128yescomplemented
752#399C241128yescomplemented
753#397C241128yescomplemented
754#396C241128yescomplemented
755#394C241128yescomplemented
756#394C241128yescomplemented
757#394C241128yescomplemented
758#394C241128yescomplemented
759#394C241128yescomplemented
760#394C241128yescomplemented
761#394C241128yescomplemented
762#392C241128yescomplemented
763#392C241128yescomplemented
764#392C241128yescomplemented
765#392C241128yescomplemented
766#390C24164yes—
767#390C24164yes—
768#390C24164yes—
769#390C241128yescomplemented
770#390C241128yescomplemented
771#390C241128yescomplemented
772#390C24164yescomplemented
773#390C24164yescomplemented
774#390C24164yescomplemented
775#390C24164yescomplemented
776#390C241128yescomplemented
777#390C24164yescomplemented
778#390C241128yescomplemented
779#389C24164yescomplemented
780#389C24164yescomplemented
781#389C24164yescomplemented
782#389C24164yescomplemented
783#388C241128yescomplemented
784#388C241128yescomplemented
785#388C241128yescomplemented
786#388C24164yescomplemented
787#388C241128yescomplemented
788#388C24164yescomplemented
789#386C24164yes—
790#386C241128yes—
791#386C241128yescomplemented
792#386C241128yescomplemented
793#386C241128yescomplemented
794#386C241128yescomplemented
795#386C241128yescomplemented
796#386C241128yescomplemented
797#386C24164yescomplemented
798#385C241128yescomplemented
799#385C241128yescomplemented
800#380C24164yescomplemented
801#380C241128yescomplemented
802#380C24164yescomplemented
803#380C24164yescomplemented
804#380C24164yescomplemented
805#379C241128yescomplemented
806#379C241128yescomplemented
807#379C241128yescomplemented
808C4×C4⋊C4C24164yescomplemented
809C4×C4⋊C4C24164yescomplemented
810C4×C22⋊C4C241128yescomplemented
811C4×C22⋊C4C24164yescomplemented
812C4×C22⋊C4C24164yescomplemented
813C4×C22⋊C4C241128yescomplemented
814C2×#95C24124yes—
815C2×#95C24124yes—
816C2×#95C24124yes—
817C2×#95C24124yes—
818C2×#95C24112yes—
819C2×#95C24112yes—
820C2×#95C24124yes—
821C2×#95C24124yes—
822C2×#95C24124yes—
823C2×#95C24112yes—
824C2×#95C24112yes—
825C2×#95C24112yes—
826C2×#95C24112yes—
827C25—24no—
828C25—24no—
829C25—24no—
830C25—24no—
831C25—24no—
832C25—28no—
833C25—28no—
834C25—24no—
835C25—28no—
836C25—28no—
837C25—28no—
838C25—24no—
839C25—28no—
840C25—28no—
841C25—24no—
842C25—24no—
843C25—28no—
844C25—28no—
845C25—28no—
846C25—28no—
847C25—24no—
848C25—28no—
849C25—24no—
850C25—28no—
851C25—24no—
852C25—24no—
853C25—296no—
854C25—28no—
855C25—28no—
856C25—28no—
857C25—28no—
858C25—24no—
859C25—24no—
860C25—28no—
861C25—28no—
862C25—24no—
863C25—24no—
864C25—296no—
865C25—296no—
866C25—296no—
867C25—296no—
868C25—296no—
869C25—296no—
870C25—448no—
871C25—448no—
872C25—448no—
873C25—448no—
874C25—448no—
875C25—448no—
876C25—448no—
877C25—4128no—
878C25—4128no—
879C25—4128no—
880C25—4128no—
881C25—4128no—
882C25—4128no—
883C25—4128no—
884C25—864no—
885C25—864no—
886C25—864no—
887C25—864no—
888C25—864no—
889C25—864no—
890C25—864no—
891C25C22×D4116yes—
892C25C22×D418yes—
893C25C2×#4118yes—
894C25C2×#41116yes—
895C25C2×#4118yes—
896C25H(5,𝔽2)18yes—
897C25C25112yes—
898C25C2516yes—
899C25C25112yes—
900C25C25112yes—
901C25C2516yes—
902C25C25132yes—
903C25C2516yes—
904C25C25132yes—
905C25C2511yescharacteristic
906C22×D4—2128no—
907C22×D4—2256no—
908C22×D4—248no—
909C22×D4—296no—
910C22×D4—296no—
911C22×D4—248no—
912C22×D4—248no—
913C22×D4—296no—
914C22×D4—296no—
915C22×D4—248no—
916C22×D4—248no—
917C22×D4—296no—
918C22×D4—296no—
919C22×D4—296no—
920C22×D4—248no—
921C22×D4—296no—
922C22×D4—296no—
923C22×D4—296no—
924C22×D4—2512no—
925C22×D4—2256no—
926C22×D4—2256no—
927C22×D4—2512no—
928C22×D4—2256no—
929C22×D4—2128no—
930C22×D4—2128no—
931C22×D4—248no—
932C22×D4—296no—
933C22×D4—296no—
934C22×D4—248no—
935C22×D4—2256no—
936C22×D4—248no—
937C22×D4—296no—
938C22×D4—248no—
939C22×D4—248no—
940C22×D4—248no—
941C22×D4—248no—
942C22×D4—248no—
943C22×D4—4128no—
944C22×D4—4128no—
945C22×D4—41536no—
946C22×D4—424no—
947C22×D4—448no—
948C22×D4—448no—
949C22×D4—448no—
950C22×D4—448no—
951C22×D4—464no—
952C22×D4—4128no—
953C22×D4—4128no—
954C22×D4—4128no—
955C22×D4—448no—
956C22×D4—448no—
957C22×D4—448no—
958C22×D4—448no—
959C22×D4—448no—
960C22×D4—448no—
961C22×D4—448no—
962C22×D4—448no—
963C22×D4—448no—
964C22×D4—4256no—
965C22×D4—43072no—
966C22×D4—41536no—
967C22×D4—4128no—
968C22×D4—464no—
969C22×D4—464no—
970C22×D4—864no—
971C22×D4—864no—
972C22×D4—864no—
973C22×D4—864no—
974C22×D4C22×D41192yes—
975C22×D4C22×D4196yes—
976C22×D4C2×#41196yes—
977C22×D4C2×#41196yes—
978C22×D4C25116yes—
979C22×D4C25116yes—
980C22×D4C25116yes—
981C22×D4C25132yes—
982C22×D4C25132yes—
983C22×D4C25132yes—
984C22×D4C25132yes—
985C22×D4C25132yes—
986C22×D4C25116yes—
987C22×D4C25116yes—
988C22×D4C25116yes—
989C22×D4C25132yes—
990C22×D4C25132yes—
991C22×D4C25132yes—
992C22×D4C25132yes—
993C23×C4—24no—
994C23×C4—24no—
995C23×C4—24no—
996C23×C4—28no—
997C23×C4—28no—
998C23×C4—24no—
999C23×C4—24no—
1000C23×C4—24no—
1001C23×C4—24no—
1002C23×C4—24no—
1003C23×C4—2128no—
1004C23×C4—248no—
1005C23×C4—248no—
1006C23×C4—24no—
1007C23×C4—24no—
1008C23×C4—24no—
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4—28no—
1012C23×C4—28no—
1013C23×C4—24no—
1014C23×C4—24no—
1015C23×C4—24no—
1016C23×C4—28no—
1017C23×C4—248no—
1018C23×C4—24no—
1019C23×C4—28no—
1020C23×C4—28no—
1021C23×C4—24no—
1022C23×C4—28no—
1023C23×C4—28no—
1024C23×C4—28no—
1025C23×C4—28no—
1026C23×C4—28no—
1027C23×C4—24no—
1028C23×C4—24no—
1029C23×C4—24no—
1030C23×C4—24no—
1031C23×C4—24no—
1032C23×C4—24no—
1033C23×C4—28no—
1034C23×C4—24no—
1035C23×C4—28no—
1036C23×C4—24no—
1037C23×C4—24no—
1038C23×C4—24no—
1039C23×C4—24no—
1040C23×C4—248no—
1041C23×C4—296no—
1042C23×C4—296no—
1043C23×C4—248no—
1044C23×C4—296no—
1045C23×C4—248no—
1046C23×C4—248no—
1047C23×C4—296no—
1048C23×C4—248no—
1049C23×C4—248no—
1050C23×C4—248no—
1051C23×C4—248no—
1052C23×C4—248no—
1053C23×C4—296no—
1054C23×C4—448no—
1055C23×C4—424no—
1056C23×C4—424no—
1057C23×C4—4128no—
1058C23×C4—448no—
1059C23×C4—448no—
1060C23×C4—448no—
1061C23×C4—448no—
1062C23×C4—448no—
1063C23×C4—448no—
1064C23×C4—464no—
1065C23×C4—464no—
1066C23×C4—464no—
1067C23×C4—464no—
1068C23×C4—864no—
1069C23×C4—864no—
1070C23×C4—864no—
1071C23×C4C22×D4116yes—
1072C23×C4C22×D418yes—
1073C23×C4C22×D4196yes—
1074C23×C4C22×D418yes—
1075C23×C4C2×#4118yes—
1076C23×C4C2×#4118yes—
1077C23×C4H(5,𝔽2)18yes—
1078C23×C4H(5,𝔽2)18yes—
1079C23×C4H(5,𝔽2)18yes—
1080C23×C4C2516yes—
1081C23×C4C2516yes—
1082C23×C4C2516yes—
1083C23×C4C2516yes—
1084C23×C4C25112yes—
1085C23×C4C2516yes—
1086C23×C4C25112yes—
1087C23×C4C25112yes—
1088C23×C4C25112yes—
1089C23×C4C2516yes—
1090C23×C4C2516yes—
1091C23×C4C25116yes—
1092C23×C4C25116yes—
1093C23×C4C25116yes—
1094C23×C4C25116yes—
1095C23×C4C25132yes—
1096C23×C4C2516yes—
1097C23×C4C25112yes—
1098C23×C4C25116yes—
1099C23×C4C2516yes—
1100C23×C4C2516yes—
1101C23×C4C2516yes—
1102C23×C4C25132yes—
1103C23×C4C25132yes—
1104C23×C4C25132yes—
1105C23×C4C2516yes—
1106#127—2256no—
1107#126—2512no—
1108#125—2256no—
1109#123—2512no—
1110#123—4256no—
1111#121—2256no—
1112#121—2512no—
1113#121—2256no—
1114#121—2256no—
1115#121—2256no—
1116#121—2512no—
1117#121—4256no—
1118#121—4128no—
1119#121C22×D41512yescomplemented
1120#120—2512no—
1121#120—2512no—
1122#120—4256no—
1123#120—4256no—
1124C4×D4—2512no—
1125C4×D4—2256no—
1126C4×D4—2256no—
1127C4×D4—2256no—
1128C4×D4—2256no—
1129C4×D4—4128no—
1130C4×D4—4128no—
1131C4×D4—4256no—
1132#117—2256no—
1133C2×C4⋊C4—248no—
1134C2×C4⋊C4—248no—
1135C2×C4⋊C4—296no—
1136C2×C4⋊C4—2256no—
1137C2×C4⋊C4—248no—
1138C2×C4⋊C4—296no—
1139C2×C4⋊C4—248no—
1140C2×C4⋊C4—296no—
1141C2×C4⋊C4—248no—
1142C2×C4⋊C4—248no—
1143C2×C4⋊C4—248no—
1144C2×C4⋊C4—248no—
1145C2×C4⋊C4—424no—
1146C2×C4⋊C4—448no—
1147C2×C4⋊C4—448no—
1148C2×C4⋊C4—448no—
1149C2×C4⋊C4C22×D4196yes—
1150C2×C4⋊C4C25116yes—
1151C2×C4⋊C4C25116yes—
1152C2×C4⋊C4C25132yes—
1153C2×C4⋊C4C25116yes—
1154C2×C4⋊C4C25116yes—
1155C2×C4⋊C4C25132yes—
1156C2×C4⋊C4C25116yes—
1157C2×C4⋊C4C25116yes—
1158C2×C4⋊C4C25116yes—
1159C2×C4⋊C4C25132yes—
1160C2×C4⋊C4C25116yes—
1161C2×C4⋊C4C25116yes—
1162C2×C4⋊C4C25132yes—
1163C2×C4⋊C4C25132yes—
1164C2×C4⋊C4C25132yes—
1165C2×C4⋊C4C25116yes—
1166C2×C22⋊C4—248no—
1167C2×C22⋊C4—248no—
1168C2×C22⋊C4—296no—
1169C2×C22⋊C4—296no—
1170C2×C22⋊C4—248no—
1171C2×C22⋊C4—296no—
1172C2×C22⋊C4—296no—
1173C2×C22⋊C4—296no—
1174C2×C22⋊C4—296no—
1175C2×C22⋊C4—248no—
1176C2×C22⋊C4—248no—
1177C2×C22⋊C4—296no—
1178C2×C22⋊C4—248no—
1179C2×C22⋊C4—248no—
1180C2×C22⋊C4—296no—
1181C2×C22⋊C4—296no—
1182C2×C22⋊C4—296no—
1183C2×C22⋊C4—296no—
1184C2×C22⋊C4—296no—
1185C2×C22⋊C4—248no—
1186C2×C22⋊C4—4256no—
1187C2×C22⋊C4—4256no—
1188C2×C22⋊C4—4256no—
1189C2×C22⋊C4—448no—
1190C2×C22⋊C4—448no—
1191C2×C22⋊C4—448no—
1192C2×C22⋊C4—448no—
1193C2×C22⋊C4—448no—
1194C2×C22⋊C4—448no—
1195C2×C22⋊C4—424no—
1196C2×C22⋊C4—448no—
1197C2×C22⋊C4—424no—
1198C2×C22⋊C4—448no—
1199C2×C22⋊C4—448no—
1200C2×C22⋊C4—448no—
1201C2×C22⋊C4—448no—
1202C2×C22⋊C4—448no—
1203C2×C22⋊C4—448no—
1204C2×C22⋊C4C22×D41192yes—
1205C2×C22⋊C4C25116yes—
1206C2×C22⋊C4C25132yes—
1207C2×C22⋊C4C25132yes—
1208C2×C22⋊C4C25132yes—
1209C2×C22⋊C4C25132yes—
1210C2×C22⋊C4C25132yes—
1211C2×C22⋊C4C25116yes—
1212C2×C22⋊C4C25132yes—
1213C2×C22⋊C4C25116yes—
1214C2×C22⋊C4C25116yes—
1215C2×C22⋊C4C25132yes—
1216C2×C22⋊C4C25132yes—
1217C2×C22⋊C4C25132yes—
1218C2×C22⋊C4C25116yes—
1219C2×C22⋊C4C25132yes—
1220C2×C22⋊C4C25132yes—
1221C2×C22⋊C4C25116yes—
1222C2×C22⋊C4C25132yes—
1223C2×C22⋊C4C25116yes—
1224C2×C22⋊C4C25116yes—
1225C2×C22⋊C4C25132yes—
1226C2×C22⋊C4C25132yes—
1227C2×C22⋊C4C25132yes—
1228C2×C22⋊C4C25132yes—
1229C2×C22⋊C4C25132yes—
1230C2×C22⋊C4C25132yes—
1231C2×C22⋊C4C25116yes—
1232C2×C22⋊C4C25132yes—
1233C2×C22⋊C4C25132yes—
1234C2×C22⋊C4C25116yes—
1235C2×C22⋊C4C25132yes—
1236C2×C22⋊C4C25132yes—
1237C2×C22⋊C4C25132yes—
1238C2×C22⋊C4C25132yes—
1239C2×C22⋊C4C25132yes—
1240C2×C22⋊C4C25132yes—
1241C2×C42—296no—
1242C2×C42—248no—
1243C2×C42—248no—
1244C2×C42—248no—
1245C2×C42—248no—
1246C2×C42—4128no—
1247C2×C42—448no—
1248C2×C42—424no—
1249C2×C42—424no—
1250C2×C42C25132yes—
1251C2×C42C25116yes—
1252C2×C42C25116yes—
1253C2×C42C25116yes—
1254C2×C42C25116yes—
1255C2×C42C25132yes—
1256C2×C42C25116yes—
1257C2×C42C25116yes—
1258#95C25116yes—
1259#95C25116yes—
1260#95C25116yes—
1261#95C25132yes—
1262#95C25132yes—
1263#95C25132yes—
1264#95C25116yes—
1265#95C25116yes—
1266#95C25132yes—
1267#95C25116yes—
1268#95C25132yes—
1269#95C25132yes—
1270#95C25132yes—
1271C24—212no—
1272C24—212no—
1273C24—212no—
1274C24—212no—
1275C24—232no—
1276C24—232no—
1277C24—232no—
1278C24—232no—
1279C24—232no—
1280C24—232no—
1281C24—212no—
1282C24—224no—
1283C24—224no—
1284C24—212no—
1285C24—224no—
1286C24—224no—
1287C24—212no—
1288C24—224no—
1289C24—224no—
1290C24—224no—
1291C24—212no—
1292C24—212no—
1293C24—224no—
1294C24—224no—
1295C24—224no—
1296C24—224no—
1297C24—212no—
1298C24—224no—
1299C24—232no—
1300C24—264no—
1301C24—264no—
1302C24—264no—
1303C24—232no—
1304C24—264no—
1305C24—264no—
1306C24—232no—
1307C24—264no—
1308C24—212no—
1309C24—224no—
1310C24—212no—
1311C24—212no—
1312C24—264no—
1313C24—224no—
1314C24—224no—
1315C24—224no—
1316C24—224no—
1317C24—212no—
1318C24—212no—
1319C24—224no—
1320C24—224no—
1321C24—212no—
1322C24—212no—
1323C24—264no—
1324C24—264no—
1325C24—264no—
1326C24—264no—
1327C24—264no—
1328C24—264no—
1329C24—432no—
1330C24—432no—
1331C24—432no—
1332C24—432no—
1333C24—432no—
1334C24—432no—
1335C24—432no—
1336C24—4384no—
1337C24—4384no—
1338C24—4384no—
1339C24—4384no—
1340C24—4384no—
1341C24—4384no—
1342C24—432no—
1343C24—416no—
1344C24—432no—
1345C24—432no—
1346C24—416no—
1347C24—432no—
1348C24—432no—
1349C24—432no—
1350C24—416no—
1351C24—432no—
1352C24—416no—
1353C24—432no—
1354C24—416no—
1355C24—4384no—
1356C24—432no—
1357C24—432no—
1358C24—416no—
1359C24—416no—
1360C24—432no—
1361C24—416no—
1362C24—432no—
1363C24—416no—
1364C24—416no—
1365C24—432no—
1366C24—432no—
1367C24—416no—
1368C24—432no—
1369C24—8192no—
1370C24—8192no—
1371C24—8192no—
1372C24—8192no—
1373C24—8192no—
1374C24—8192no—
1375C24—81024no—
1376C24—8192no—
1377C24—81024no—
1378C24#546164yes—
1379C24C23×D4148yes—
1380C24C23×D4124yes—
1381C24C23×D414yes—
1382C24C22×#41124yes—
1383C24C22×#41148yes—
1384C24C22×#41124yes—
1385C24C22×#4114yes—
1386C24C22×#4114yes—
1387C24C2×H(5,𝔽2)124yes—
1388C24C2×H(5,𝔽2)14yes—
1389C24C2×H(5,𝔽2)14yes—
1390C24C2×H(5,𝔽2)14yes—
1391C24C2×H(5,𝔽2)14yes—
1392C24C2618yes—
1393C24C2614yes—
1394C24C2618yes—
1395C24C2618yes—
1396C24C2614yes—
1397C24C2614yes—
1398C24C2613yes—
1399C2×D4—232no—
1400C2×D4—264no—
1401C2×D4—264no—
1402C2×D4—232no—
1403C2×D4—2384no—
1404C2×D4—2768no—
1405C2×D4—232no—
1406C2×D4—264no—
1407C2×D4—264no—
1408C2×D4—232no—
1409C2×D4—232no—
1410C2×D4—264no—
1411C2×D4—264no—
1412C2×D4—264no—
1413C2×D4—232no—
1414C2×D4—264no—
1415C2×D4—264no—
1416C2×D4—264no—
1417C2×D4—232no—
1418C2×D4—264no—
1419C2×D4—264no—
1420C2×D4—232no—
1421C2×D4—232no—
1422C2×D4—264no—
1423C2×D4—232no—
1424C2×D4—232no—
1425C2×D4—232no—
1426C2×D4—232no—
1427C2×D4—232no—
1428C2×D4—2384no—
1429C2×D4—2384no—
1430C2×D4—41024no—
1431C2×D4—416no—
1432C2×D4—432no—
1433C2×D4—432no—
1434C2×D4—432no—
1435C2×D4—432no—
1436C2×D4—4192no—
1437C2×D4—4384no—
1438C2×D4—4384no—
1439C2×D4—4384no—
1440C2×D4—432no—
1441C2×D4—432no—
1442C2×D4—432no—
1443C2×D4—432no—
1444C2×D4—432no—
1445C2×D4—432no—
1446C2×D4—432no—
1447C2×D4—432no—
1448C2×D4—432no—
1449C2×D4—42048no—
1450C2×D4—41024no—
1451C2×D4—4384no—
1452C2×D4—4192no—
1453C2×D4—4192no—
1454C2×D4—8192no—
1455C2×D4—8192no—
1456C2×D4—8192no—
1457C2×D4—8192no—
1458C2×D4C23×D41128yes—
1459C2×D4C23×D4164yes—
1460C2×D4C22×#41164yes—
1461C2×D4C22×#41164yes—
1462C22×C4—212no—
1463C22×C4—212no—
1464C22×C4—212no—
1465C22×C4—224no—
1466C22×C4—212no—
1467C22×C4—212no—
1468C22×C4—212no—
1469C22×C4—212no—
1470C22×C4—224no—
1471C22×C4—212no—
1472C22×C4—232no—
1473C22×C4—232no—
1474C22×C4—264no—
1475C22×C4—232no—
1476C22×C4—232no—
1477C22×C4—232no—
1478C22×C4—232no—
1479C22×C4—2384no—
1480C22×C4—212no—
1481C22×C4—212no—
1482C22×C4—212no—
1483C22×C4—224no—
1484C22×C4—212no—
1485C22×C4—212no—
1486C22×C4—224no—
1487C22×C4—212no—
1488C22×C4—212no—
1489C22×C4—224no—
1490C22×C4—212no—
1491C22×C4—232no—
1492C22×C4—212no—
1493C22×C4—212no—
1494C22×C4—212no—
1495C22×C4—224no—
1496C22×C4—224no—
1497C22×C4—224no—
1498C22×C4—212no—
1499C22×C4—224no—
1500C22×C4—224no—
1501C22×C4—224no—
1502C22×C4—224no—
1503C22×C4—212no—
1504C22×C4—212no—
1505C22×C4—212no—
1506C22×C4—212no—
1507C22×C4—212no—
1508C22×C4—212no—
1509C22×C4—224no—
1510C22×C4—212no—
1511C22×C4—224no—
1512C22×C4—212no—
1513C22×C4—212no—
1514C22×C4—232no—
1515C22×C4—264no—
1516C22×C4—264no—
1517C22×C4—232no—
1518C22×C4—264no—
1519C22×C4—232no—
1520C22×C4—232no—
1521C22×C4—264no—
1522C22×C4—232no—
1523C22×C4—232no—
1524C22×C4—232no—
1525C22×C4—232no—
1526C22×C4—232no—
1527C22×C4—264no—
1528C22×C4—416no—
1529C22×C4—416no—
1530C22×C4—432no—
1531C22×C4—4384no—
1532C22×C4—432no—
1533C22×C4—432no—
1534C22×C4—432no—
1535C22×C4—432no—
1536C22×C4—432no—
1537C22×C4—432no—
1538C22×C4—4192no—
1539C22×C4—4192no—
1540C22×C4—416no—
1541C22×C4—416no—
1542C22×C4—416no—
1543C22×C4—432no—
1544C22×C4—416no—
1545C22×C4—432no—
1546C22×C4—416no—
1547C22×C4—416no—
1548C22×C4—432no—
1549C22×C4—416no—
1550C22×C4—432no—
1551C22×C4—4192no—
1552C22×C4—4192no—
1553C22×C4—8192no—
1554C22×C4—8192no—
1555C22×C4—8192no—
1556C22×C4#546164yes—
1557C22×C4C23×D4148yes—
1558C22×C4C23×D4124yes—
1559C22×C4C23×D4164yes—
1560C22×C4C23×D4124yes—
1561C22×C4C22×#41124yes—
1562C22×C4C22×#41124yes—
1563C22×C4C2×H(5,𝔽2)124yes—
1564C22×C4C2×H(5,𝔽2)124yes—
1565C22×C4C2×H(5,𝔽2)124yes—
1566C22×C4C2614yes—
1567C22×C4C2614yes—
1568C22×C4C2618yes—
1569C22×C4C2618yes—
1570C22×C4C2614yes—
1571C22×C4C2614yes—
1572C22×C4C2614yes—
1573C22×C4C2618yes—
1574C22×C4C2614yes—
1575C22×C4C2614yes—
1576C22×C4C2618yes—
1577C22×C4C2614yes—
1578C22×C4C2618yes—
1579C22×C4C2614yes—
1580C22×C4C2614yes—
1581C22×C4C2614yes—
1582C22×C4C2614yes—
1583C4⋊C4—232no—
1584C4⋊C4—232no—
1585C4⋊C4—264no—
1586C4⋊C4—232no—
1587C4⋊C4—264no—
1588C4⋊C4—232no—
1589C4⋊C4—264no—
1590C4⋊C4—232no—
1591C4⋊C4—232no—
1592C4⋊C4—232no—
1593C4⋊C4—232no—
1594C4⋊C4—416no—
1595C4⋊C4—432no—
1596C4⋊C4—432no—
1597C4⋊C4—432no—
1598C4⋊C4C23×D4164yes—
1599C22⋊C4—232no—
1600C22⋊C4—232no—
1601C22⋊C4—264no—
1602C22⋊C4—264no—
1603C22⋊C4—264no—
1604C22⋊C4—232no—
1605C22⋊C4—264no—
1606C22⋊C4—264no—
1607C22⋊C4—264no—
1608C22⋊C4—232no—
1609C22⋊C4—232no—
1610C22⋊C4—264no—
1611C22⋊C4—232no—
1612C22⋊C4—232no—
1613C22⋊C4—264no—
1614C22⋊C4—264no—
1615C22⋊C4—264no—
1616C22⋊C4—264no—
1617C22⋊C4—264no—
1618C22⋊C4—232no—
1619C22⋊C4—432no—
1620C22⋊C4—432no—
1621C22⋊C4—432no—
1622C22⋊C4—432no—
1623C22⋊C4—432no—
1624C22⋊C4—432no—
1625C22⋊C4—416no—
1626C22⋊C4—432no—
1627C22⋊C4—416no—
1628C22⋊C4—432no—
1629C22⋊C4—432no—
1630C22⋊C4—432no—
1631C22⋊C4—432no—
1632C22⋊C4—432no—
1633C22⋊C4—432no—
1634C22⋊C4C23×D41128yes—
1635C42—264no—
1636C42—232no—
1637C42—232no—
1638C42—232no—
1639C42—232no—
1640C42—416no—
1641C42—416no—
1642C42—432no—
1643C23—248no—
1644C23—2256no—
1645C23—248no—
1646C23—248no—
1647C23—248no—
1648C23—24no—
1649C23—24no—
1650C23—24no—
1651C23—24no—
1652C23—248no—
1653C23—248no—
1654C23—248no—
1655C23—296no—
1656C23—296no—
1657C23—24no—
1658C23—28no—
1659C23—28no—
1660C23—24no—
1661C23—28no—
1662C23—28no—
1663C23—24no—
1664C23—28no—
1665C23—28no—
1666C23—28no—
1667C23—24no—
1668C23—24no—
1669C23—28no—
1670C23—28no—
1671C23—28no—
1672C23—28no—
1673C23—24no—
1674C23—28no—
1675C23—248no—
1676C23—296no—
1677C23—296no—
1678C23—296no—
1679C23—248no—
1680C23—296no—
1681C23—24no—
1682C23—28no—
1683C23—24no—
1684C23—24no—
1685C23—28no—
1686C23—28no—
1687C23—28no—
1688C23—28no—
1689C23—24no—
1690C23—24no—
1691C23—28no—
1692C23—28no—
1693C23—24no—
1694C23—24no—
1695C23—4128no—
1696C23—4128no—
1697C23—4128no—
1698C23—4128no—
1699C23—4128no—
1700C23—4128no—
1701C23—448no—
1702C23—424no—
1703C23—448no—
1704C23—4256no—
1705C23—4128no—
1706C23—4256no—
1707C23—448no—
1708C23—448no—
1709C23—448no—
1710C23—424no—
1711C23—448no—
1712C23—424no—
1713C23—448no—
1714C23—424no—
1715C23—448no—
1716C23—424no—
1717C23—448no—
1718C23—424no—
1719C23—424no—
1720C23—448no—
1721C23—448no—
1722C23—424no—
1723C23—448no—
1724C23—424no—
1725C23—4128no—
1726C23—448no—
1727C23—448no—
1728C23—424no—
1729C23—424no—
1730C23—448no—
1731C23—864no—
1732C23—864no—
1733C23—864no—
1734C23—864no—
1735C23—864no—
1736C23—864no—
1737C23—81536no—
1738C23—864no—
1739C23—81536no—
1740C23—864no—
1741C23—8128no—
1742C23C2×#546196yes—
1743C23C2×#546116yes—
1744C23C2×#546116yes—
1745C23#3481116yes—
1746C23#3498116yes—
1747C23#3519116yes—
1748C23#3519116yes—
1749C23#3537116yes—
1750C23C24×D4116yes—
1751C23C24×D418yes—
1752C23C24×D416yes—
1753C23C23×#4118yes—
1754C23C23×#41116yes—
1755C23C23×#4118yes—
1756C23C23×#4116yes—
1757C23C23×#4116yes—
1758C23C22×H(5,𝔽2)18yes—
1759C23C22×H(5,𝔽2)16yes—
1760C23C22×H(5,𝔽2)16yes—
1761C23C22×H(5,𝔽2)16yes—
1762C23C22×H(5,𝔽2)16yes—
1763C23C2711yescharacteristic
1764D4—2128no—
1765D4—2256no—
1766D4—2128no—
1767D4—2128no—
1768D4—464no—
1769D4—4128no—
1770D4—4128no—
1771D4—4128no—
1772D4—4128no—
1773D4—464no—
1774D4—464no—
1775D4—864no—
1776D4—864no—
1777D4—864no—
1778D4—864no—
1779C2×C4—248no—
1780C2×C4—248no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—28no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—28no—
1790C2×C4—24no—
1791C2×C4—248no—
1792C2×C4—248no—
1793C2×C4—296no—
1794C2×C4—2128no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—28no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—28no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—28no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—28no—
1810C2×C4—28no—
1811C2×C4—28no—
1812C2×C4—24no—
1813C2×C4—28no—
1814C2×C4—28no—
1815C2×C4—28no—
1816C2×C4—28no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—24no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—28no—
1824C2×C4—24no—
1825C2×C4—28no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—4128no—
1829C2×C4—464no—
1830C2×C4—464no—
1831C2×C4—424no—
1832C2×C4—448no—
1833C2×C4—424no—
1834C2×C4—448no—
1835C2×C4—448no—
1836C2×C4—424no—
1837C2×C4—448no—
1838C2×C4—424no—
1839C2×C4—424no—
1840C2×C4—424no—
1841C2×C4—424no—
1842C2×C4—464no—
1843C2×C4—464no—
1844C2×C4—864no—
1845C2×C4—864no—
1846C2×C4—864no—
1847C2×C4C2×#546196yes—
1848C2×C4C24×D4116yes—
1849C2×C4C24×D418yes—
1850C2×C4C24×D418yes—
1851C2×C4C23×#4118yes—
1852C2×C4C23×#4118yes—
1853C2×C4C22×H(5,𝔽2)18yes—
1854C2×C4C22×H(5,𝔽2)18yes—
1855C2×C4C22×H(5,𝔽2)18yes—
1856C22—28no—
1857C22—28no—
1858C22—28no—
1859C22—28no—
1860C22—28no—
1861C22—28no—
1862C22—2192no—
1863C22—28no—
1864C22—216no—
1865C22—216no—
1866C22—216no—
1867C22—28no—
1868C22—216no—
1869C22—28no—
1870C22—216no—
1871C22—216no—
1872C22—48no—
1873C22—44no—
1874C22—48no—
1875C22—48no—
1876C22—44no—
1877C22—48no—
1878C22—48no—
1879C22—48no—
1880C22—48no—
1881C22—44no—
1882C22—48no—
1883C22—44no—
1884C22—4192no—
1885C22—496no—
1886C22—4192no—
1887C22—44no—
1888C22—48no—
1889C22—44no—
1890C22—48no—
1891C22—48no—
1892C22—44no—
1893C22—44no—
1894C22—48no—
1895C22—44no—
1896C22—44no—
1897C22—48no—
1898C22—48no—
1899C22—44no—
1900C22—48no—
1901C22—8256no—
1902C22—8256no—
1903C22—848no—
1904C22—896no—
1905C22#59408164yesdirect product factor
1906C22C22×#546116yes—
1907C22C22×#546112yes—
1908C22C22×#546112yes—
1909C22C2×#3481112yes—
1910C22C2×#3537112yes—
1911C22C2×#3519112yes—
1912C22C2×#3519112yes—
1913C22C2×#3498112yes—
1914C22C25×D411yescharacteristic
1915C22C24×#4111yescharacteristic
1916C22C24×#4111yescharacteristic
1917C22C23×H(5,𝔽2)11yescharacteristic
1918C22C23×H(5,𝔽2)11yescharacteristic
1919C22C23×H(5,𝔽2)11yescharacteristic
1920C22C23×H(5,𝔽2)11yescharacteristic
1921C4—28no—
1922C4—28no—
1923C4—28no—
1924C4—216no—
1925C4—28no—
1926C4—44no—
1927C4—48no—
1928C4—44no—
1929C4—44no—
1930C4—44no—
1931C4—44no—
1932C4—48no—
1933C4—48no—
1934C4—44no—
1935C4—48no—
1936C4—44no—
1937C4C22×#546116yes—
1938C2—216no—
1939C2—416no—
1940C2—48no—
1941C2—416no—
1942C2—84no—
1943C2—88no—
1944C2C2×#59408124yesdirect product factor
1945C2C23×#54611yescharacteristic
1946C2C23×#54611yescharacteristic
1947C2C22×#348111yescharacteristic
1948C2C22×#351911yescharacteristic
1949C2C22×#351911yescharacteristic
1950C2C22×#349811yescharacteristic
1951C2C22×#353711yescharacteristic
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×#553C2semidirect
2. C23×D42C2semidirect
3. C2×#59408C2direct (N × H)
4. C22×#2703C2semidirect
5. C22×#2685C2semidirect
6. C22×#2559C2semidirect
7. C22×#2539C2semidirect
8. C22×#2490C2semidirect
9. C22×#2487C2semidirect
10. C22×#2414C2semidirect
11. C22×#2454C2semidirect
12. C22×#2445C2semidirect
13. C22×#2428C2semidirect
14. C22×#2408C2semidirect
15. C22×#2408C2semidirect
16. C22×#2424C2semidirect
17. C22×#2418C2semidirect
18. C22×#2410C2semidirect
19. C22×#2363C2semidirect
20. C22×D4×C22⋊C4C2semidirect
21. C22×D4×C22⋊C4C2semidirect
22. C22×C4×#121C2semidirect
23. C22×C4×#121C2semidirect
24. C23×#390C2semidirect
29. C22×#553C22semidirect
31. C22×D42C22semidirect
33. C23×#126C22semidirect
34. C23×#125C22semidirect
35. C23×#123C22semidirect
36. C23×#123C22semidirect
42. C23×#121C22semidirect
43. C23×#121C22semidirect
44. C23×#121C22semidirect
45. C23×#121C22semidirect
48. C23×#120C22semidirect
49. C23×#120C22semidirect
52. C23×C4×D4C22semidirect
53. C23×C4×D4C22semidirect
54. C23×C4×D4C22semidirect
55. C23×C4×D4C22semidirect
56. C23×C4×D4C22semidirect
57. C23×C4×D4C22semidirect
58. C23×#117C22semidirect
59. C24×C4⋊C4C22semidirect
60. C24×C22⋊C4C22semidirect
61. C24×C22⋊C4C22semidirect
62. C24×C22⋊C4C22semidirect
63. C24×C42C22semidirect
64. #59408C22direct (N × H)
65. C2×#2703C22semidirect
66. C2×#2685C22semidirect
67. C2×#2559C22semidirect
68. C2×#2539C22semidirect
69. C2×#2490C22semidirect
70. C2×#2487C22semidirect
71. C2×#2414C22semidirect
72. C2×#2454C22semidirect
73. C2×#2445C22semidirect
74. C2×#2428C22semidirect
75. C2×#2408C22semidirect
76. C2×#2408C22semidirect
77. C2×#2424C22semidirect
78. C2×#2418C22semidirect
79. C2×#2410C22semidirect
80. C22×#400C22semidirect
81. C22×#399C22semidirect
82. C22×#399C22semidirect
83. C22×#397C22semidirect
84. C22×#396C22semidirect
85. C22×#394C22semidirect
86. C22×#394C22semidirect
87. C22×#394C22semidirect
88. C22×#394C22semidirect
89. C22×#394C22semidirect
90. C22×#394C22semidirect
91. C22×#394C22semidirect
92. C22×#392C22semidirect
93. C22×#392C22semidirect
94. C22×#392C22semidirect
95. C22×#392C22semidirect
96. C2×#2363C22semidirect
97. C2×D4×C22⋊C4C22semidirect
98. C2×D4×C22⋊C4C22semidirect
99. C2×C4×#121C22semidirect
100. C2×C4×#121C22semidirect
104. C22×#390C22semidirect
105. C22×#390C22semidirect
106. C22×#390C22semidirect
107. C22×#390C22semidirect
108. C22×#390C22semidirect
109. C22×#390C22semidirect
110. C22×#390C22semidirect
111. C22×#390C22semidirect
112. C22×#390C22semidirect
113. C22×#390C22semidirect
114. C22×#390C22semidirect
115. C22×#389C22semidirect
116. C22×#389C22semidirect
117. C22×#389C22semidirect
118. C22×#389C22semidirect
119. C22×#388C22semidirect
120. C22×#388C22semidirect
121. C22×#388C22semidirect
122. C22×#388C22semidirect
123. C22×#388C22semidirect
124. C22×#388C22semidirect
127. C22×#386C22semidirect
128. C22×#386C22semidirect
129. C22×#386C22semidirect
130. C22×#386C22semidirect
131. C22×#386C22semidirect
132. C22×#386C22semidirect
133. C22×#386C22semidirect
134. C22×#385C22semidirect
135. C22×#385C22semidirect
136. C22×#380C22semidirect
137. C22×#380C22semidirect
138. C22×#380C22semidirect
139. C22×#380C22semidirect
140. C22×#380C22semidirect
141. C22×#379C22semidirect
142. C22×#379C22semidirect
143. C22×#379C22semidirect
144. C22×C4×C4⋊C4C22semidirect
145. C22×C4×C4⋊C4C22semidirect
146. C22×C4×C22⋊C4C22semidirect
147. C22×C4×C22⋊C4C22semidirect
148. C22×C4×C22⋊C4C22semidirect
149. C22×C4×C22⋊C4C22semidirect
189. C2×#553C23semidirect
191. C2×D42C23semidirect
195. C22×#126C23semidirect
197. C22×#125C23semidirect
200. C22×#123C23semidirect
201. C22×#123C23semidirect
210. C22×#121D4semidirect
216. C22×#121C23semidirect
217. C22×#121C23semidirect
218. C22×#121C23semidirect
219. C22×#121C23semidirect
226. C22×#120C23semidirect
227. C22×#120C23semidirect
238. C22×C4×D4C23semidirect
239. C22×C4×D4C23semidirect
240. C22×C4×D4C23semidirect
241. C22×C4×D4C23semidirect
242. C22×C4×D4C23semidirect
243. C22×C4×D4C23semidirect
245. C22×#117C23semidirect
263. C23×C4⋊C4C23semidirect
303. C23×C22⋊C4C23semidirect
304. C23×C22⋊C4C23semidirect
305. C23×C22⋊C4C23semidirect
315. C23×C42C23semidirect
316. #2703C23semidirect
317. #2685C23semidirect
318. #2559C23semidirect
319. #2539C23semidirect
320. #2490C23semidirect
321. #2487C23semidirect
322. #2454C23semidirect
323. #2445C23semidirect
324. #2428C23semidirect
325. #2424C23semidirect
326. #2418C23semidirect
327. #2414C23semidirect
328. #2410C23semidirect
329. #2408C23semidirect
330. #2408C23semidirect
331. C2×#400C23semidirect
332. C2×#399C23semidirect
333. C2×#399C23semidirect
334. C2×#397C23semidirect
335. C2×#396C23semidirect
336. C2×#394C23semidirect
337. C2×#394C23semidirect
338. C2×#394C23semidirect
339. C2×#394C23semidirect
340. C2×#394C23semidirect
341. C2×#394C23semidirect
342. C2×#394C23semidirect
343. C2×#392C23semidirect
344. C2×#392C23semidirect
345. C2×#392C23semidirect
346. C2×#392C23semidirect
347. #2363C23semidirect
348. D4×C22⋊C4C23semidirect
349. D4×C22⋊C4C23semidirect
350. C4×#121C23semidirect
351. C4×#121C23semidirect
355. C2×#390C23semidirect
356. C2×#390C23semidirect
357. C2×#390C23semidirect
358. C2×#390C23semidirect
359. C2×#390C23semidirect
360. C2×#390C23semidirect
361. C2×#390C23semidirect
362. C2×#390C23semidirect
363. C2×#390C23semidirect
364. C2×#390C23semidirect
365. C2×#390C23semidirect
366. C2×#389C23semidirect
367. C2×#389C23semidirect
368. C2×#389C23semidirect
369. C2×#389C23semidirect
370. C2×#388C23semidirect
371. C2×#388C23semidirect
372. C2×#388C23semidirect
373. C2×#388C23semidirect
374. C2×#388C23semidirect
375. C2×#388C23semidirect
378. C2×#386C23semidirect
379. C2×#386C23semidirect
380. C2×#386C23semidirect
381. C2×#386C23semidirect
382. C2×#386C23semidirect
383. C2×#386C23semidirect
384. C2×#386C23semidirect
385. C2×#385C23semidirect
386. C2×#385C23semidirect
387. C2×#380C23semidirect
388. C2×#380C23semidirect
389. C2×#380C23semidirect
390. C2×#380C23semidirect
391. C2×#380C23semidirect
392. C2×#379C23semidirect
393. C2×#379C23semidirect
394. C2×#379C23semidirect
395. C2×C4×C4⋊C4C23semidirect
396. C2×C4×C4⋊C4C23semidirect
397. C2×C4×C22⋊C4C23semidirect
398. C2×C4×C22⋊C4C23semidirect
399. C2×C4×C22⋊C4C23semidirect
400. C2×C4×C22⋊C4C23semidirect
569. C2×#126C24semidirect
571. C2×#125C24semidirect
574. C2×#123C24semidirect
575. C2×#123C24semidirect
584. C2×#121C2×D4semidirect
590. C2×#121C24semidirect
591. C2×#121C24semidirect
592. C2×#121C24semidirect
593. C2×#121C24semidirect
600. C2×#120C24semidirect
601. C2×#120C24semidirect
612. C2×C4×D4C24semidirect
613. C2×C4×D4C24semidirect
614. C2×C4×D4C24semidirect
615. C2×C4×D4C24semidirect
616. C2×C4×D4C24semidirect
617. C2×C4×D4C24semidirect
619. C2×#117C24semidirect
653. C22×C4⋊C4C24semidirect
729. C22×C22⋊C4C24semidirect
730. C22×C22⋊C4C24semidirect
731. C22×C22⋊C4C24semidirect
749. C22×C42C24semidirect
750. #400C24semidirect
751. #399C24semidirect
752. #399C24semidirect
753. #397C24semidirect
754. #396C24semidirect
755. #394C24semidirect
756. #394C24semidirect
757. #394C24semidirect
758. #394C24semidirect
759. #394C24semidirect
760. #394C24semidirect
761. #394C24semidirect
762. #392C24semidirect
763. #392C24semidirect
764. #392C24semidirect
765. #392C24semidirect
769. #390C24semidirect
770. #390C24semidirect
771. #390C24semidirect
772. #390C24semidirect
773. #390C24semidirect
774. #390C24semidirect
775. #390C24semidirect
776. #390C24semidirect
777. #390C24semidirect
778. #390C24semidirect
779. #389C24semidirect
780. #389C24semidirect
781. #389C24semidirect
782. #389C24semidirect
783. #388C24semidirect
784. #388C24semidirect
785. #388C24semidirect
786. #388C24semidirect
787. #388C24semidirect
788. #388C24semidirect
791. #386C24semidirect
792. #386C24semidirect
793. #386C24semidirect
794. #386C24semidirect
795. #386C24semidirect
796. #386C24semidirect
797. #386C24semidirect
798. #385C24semidirect
799. #385C24semidirect
800. #380C24semidirect
801. #380C24semidirect
802. #380C24semidirect
803. #380C24semidirect
804. #380C24semidirect
805. #379C24semidirect
806. #379C24semidirect
807. #379C24semidirect
808. C4×C4⋊C4C24semidirect
809. C4×C4⋊C4C24semidirect
810. C4×C22⋊C4C24semidirect
811. C4×C22⋊C4C24semidirect
812. C4×C22⋊C4C24semidirect
813. C4×C22⋊C4C24semidirect
1119. #121C22×D4semidirect
1905. C22#59408direct (N × H)
1944. C2C2×#59408direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5532
C23×D422
C2×#594082
C22×#27032
C22×#26852
C22×#25592
C22×#25392
C22×#24902
C22×#24872
C22×#24142
C22×#24542
C22×#24452
C22×#24282
C22×#24082
C22×#24242
C22×#24182
C22×#24102
C22×#23632
C22×D4×C22⋊C42
C22×C4×#1212
C23×#3902