Finite Group Databasebeta

← C22×#36158 #72296000

Subgroups — C22×#36158 #72296000

Order 1024.

205201 conjugacy classes of subgroups.

The subgroup lattice has 1899 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#551C211yesmaximal, characteristic, complemented
2C25×C22⋊C4C211yesmaximal, characteristic, complemented
3C22×#2849C211yesmaximal, characteristic, complemented
4C22×#2848C211yesmaximal, characteristic, complemented
5C22×#2846C211yesmaximal, characteristic
6C2×#36158C2196yesmaximal, direct product factor
7C22×#2561C211yesmaximal, characteristic, complemented
8C22×#2534C211yesmaximal, characteristic, complemented
9C22×#2482C211yesmaximal, characteristic, complemented
10C22×#2483C211yesmaximal, characteristic, complemented
11C22×#2411C211yesmaximal, characteristic, complemented
12C22×#2480C212yesmaximal, complemented
13C22×#2480C212yesmaximal, complemented
14C22×#2472C212yesmaximal, complemented
15C22×#2412C212yesmaximal, complemented
16C22×#2412C211yesmaximal, characteristic, complemented
17C22×#2418C212yesmaximal, complemented
18C22×#2437C212yesmaximal, complemented
19C22×#2358C212yesmaximal, complemented
20C22×#2342C212yesmaximal, complemented
21C22×#2342C211yesmaximal, characteristic, complemented
22C22×C4×#120C211yesmaximal, characteristic, complemented
23C22×#2280C211yesmaximal, characteristic, complemented
24C23×#379C211yesmaximal, characteristic, complemented
25C28C2211yescharacteristic
26C26×C4C2211yescharacteristic
27C26×C4C2211yescharacteristic
28C22×#551—232no—
29C22×#551C22148yescomplemented
30C23×#126C2211yescharacteristic, complemented
31C23×#126C2211yescharacteristic, complemented
32C23×#124C2211yescharacteristic, complemented
33C23×#123C2211yescharacteristic, complemented
34C23×#123C2211yescharacteristic, complemented
35C23×#123C2211yescharacteristic, complemented
36C23×#123C2211yescharacteristic, complemented
37C23×C22⋊Q8C2211yescharacteristic, complemented
38C23×C22⋊Q8C2211yescharacteristic, complemented
39C23×C22⋊Q8C2212yescomplemented
40C23×#120C2211yescharacteristic
41C23×#120C2211yescharacteristic
42C23×#120C2212yes—
43C23×#120C2212yes—
44C23×#120C2211yescharacteristic
45C23×C4×D4C2211yescharacteristic, complemented
46C23×C4×D4C2211yescharacteristic, complemented
47C23×C4×D4C2212yescomplemented
48C23×#117C2211yescharacteristic, complemented
49C23×#117C2211yescharacteristic, complemented
50C23×#117C2211yescharacteristic, complemented
51C24×C22⋊C4—232no—
52C24×C22⋊C4C2212yes—
53C24×C22⋊C4C2211yescharacteristic
54C24×C22⋊C4C2212yes—
55C24×C22⋊C4C2212yes—
56C24×C22⋊C4C2211yescharacteristic
57C24×C22⋊C4C2212yes—
58C24×C22⋊C4C2212yes—
59C24×C22⋊C4C2211yescharacteristic
60C24×C22⋊C4C2211yescharacteristic
61C24×C22⋊C4C2212yes—
62C24×C22⋊C4C2211yescharacteristic
63C24×C22⋊C4C2211yescharacteristic
64C24×C22⋊C4C22148yescomplemented
65C2×#2849C22148yescomplemented
66C2×#2848C22148yescomplemented
67C2×#2846C22148yes—
68#36158C2211024yesdirect product factor
69C2×#2561C22148yescomplemented
70C2×#2534C22148yescomplemented
71C2×#2482C22148yescomplemented
72C2×#2483C22148yescomplemented
73C2×#2411C22148yescomplemented
74C2×#2480C22196yescomplemented
75C2×#2480C22196yescomplemented
76C2×#2472C22196yescomplemented
77C2×#2412C22196yescomplemented
78C2×#2412C22148yescomplemented
79C2×#2418C22196yescomplemented
80C2×#2437C22196yescomplemented
81C22×#399C2212yescomplemented
82C22×#397C2212yescomplemented
83C22×#397C2212yescomplemented
84C22×#397C2212yescomplemented
85C22×#397C2212yescomplemented
86C22×#397C2212yescomplemented
87C22×#396C2212yescomplemented
88C22×#396C2212yescomplemented
89C22×#394C2212yescomplemented
90C22×#394C2212yescomplemented
91C22×#394C2212yescomplemented
92C22×#393C2212yescomplemented
93C2×#2358C22196yescomplemented
94C2×#2342C22196yescomplemented
95C2×#2342C22148yescomplemented
96C2×C4×#120C22148yescomplemented
97C22×#390C2212yescomplemented
98C22×#388C2212yescomplemented
99C22×#388C2212yescomplemented
100C22×#388C2212yescomplemented
101C22×#388C2212yescomplemented
102C22×#388C2212yescomplemented
103C22×#388C2212yescomplemented
104C22×#388C2212yescomplemented
105C22×#388C2212yescomplemented
106C22×#386C2212yescomplemented
107C22×#386C2211yescharacteristic, complemented
108C22×#386C2212yescomplemented
109C22×#386C2212yescomplemented
110C22×#386C2212yescomplemented
111C22×#386C2212yescomplemented
112C22×#385C2212yescomplemented
113C22×#385C2211yescharacteristic, complemented
114C22×#385C2212yescomplemented
115C22×#385C2212yescomplemented
116C22×#385C2212yescomplemented
117C22×#385C2212yescomplemented
118C22×#385C2211yescharacteristic, complemented
119C22×#385C2212yescomplemented
120C22×#385C2212yescomplemented
121C22×#385C2211yescharacteristic, complemented
122C2×#2280C22148yescomplemented
123C22×#381C2211yescharacteristic, complemented
124C22×#381C2211yescharacteristic, complemented
125C22×#381C2212yescomplemented
126C22×#381C2211yescharacteristic, complemented
127C22×#381C2211yescharacteristic, complemented
128C22×#380C2212yescomplemented
129C22×#380C2212yescomplemented
130C22×#380C2212yescomplemented
131C22×#380C2212yescomplemented
132C22×#380C2211yescharacteristic, complemented
133C22×#379C2211yescharacteristic
134C22×#379C2212yes—
135C22×#379C2212yes—
136C22×#379C2211yescharacteristic
137C22×#379C2211yescharacteristic
138C22×#379C2211yescharacteristic
139C22×#379C2211yescharacteristic
140C22×#379C2212yes—
141C22×#379C2212yes—
142C22×#379C2211yescharacteristic
143C22×#379C2211yescharacteristic
144C22×#379C22148yescomplemented
145C22×C4×C22⋊C4C2212yescomplemented
146C22×C4×C22⋊C4C2212yescomplemented
147C22×C4×C22⋊C4C2212yescomplemented
148C22×C4×C22⋊C4C2211yescharacteristic, complemented
149C22×C4×C22⋊C4C2212yescomplemented
150C27—216no—
151C27—232no—
152C27—216no—
153C27—416no—
154C27—48no—
155C27C2311yescharacteristic
156C27C2312yes—
157C27C2311yescharacteristic
158C27C23124yes—
159C27C2311yescharacteristic
160C27C2312yes—
161C24×Q8C2311yescharacteristic, complemented
162C24×D4C2311yescharacteristic
163C24×D4C2311yescharacteristic
164C24×D4C2312yes—
165C24×D4C2311yescharacteristic
166C24×D4C2312yes—
167C25×C4—216no—
168C25×C4—216no—
169C25×C4—216no—
170C25×C4—48no—
171C25×C4—416no—
172C25×C4C2311yescharacteristic
173C25×C4C2311yescharacteristic
174C25×C4C23124yes—
175C25×C4C2312yes—
176C25×C4C2312yes—
177C25×C4C2312yes—
178C25×C4C2312yes—
179C25×C4C2311yescharacteristic
180C25×C4C23124yes—
181C25×C4C2311yescharacteristic
182C25×C4C2311yescharacteristic
183C25×C4C2312yes—
184C25×C4C2311yescharacteristic
185C25×C4C2311yescharacteristic, complemented
186C2×#551—2768no—
187C2×#551C231256yescomplemented
188C22×#126—216no—
189C22×#126—216no—
190C22×#126C23124yescomplemented
191C22×#126C23124yescomplemented
192C22×#124—216no—
193C22×#124C23124yescomplemented
194C22×#123—216no—
195C22×#123—216no—
196C22×#123—216no—
197C22×#123—48no—
198C22×#123C23124yescomplemented
199C22×#123C23124yescomplemented
200C22×#123C23124yescomplemented
201C22×#123C23124yescomplemented
202C22×C22⋊Q8—216no—
203C22×C22⋊Q8—216no—
204C22×C22⋊Q8—416no—
205C22×C22⋊Q8C23124yescomplemented
206C22×C22⋊Q8C23124yescomplemented
207C22×C22⋊Q8C23148yescomplemented
208C22×#120—216no—
209C22×#120—216no—
210C22×#120—232no—
211C22×#120—48no—
212C22×#120—416no—
213C22×#120C23124yes—
214C22×#120C23148yes—
215C22×#120C23124yes—
216C22×#120C23124yes—
217C22×#120C23148yes—
218C22×C4×D4—216no—
219C22×C4×D4—216no—
220C22×C4×D4—416no—
221C22×C4×D4C23124yescomplemented
222C22×C4×D4C23124yescomplemented
223C22×C4×D4C23148yescomplemented
224C22×#117—216no—
225C22×#117—216no—
226C22×#117—48no—
227C22×#117C23124yescomplemented
228C22×#117C23124yescomplemented
229C22×#117C23124yescomplemented
230C23×C4⋊C4C2311yescharacteristic, complemented
231C23×C4⋊C4C2311yescharacteristic, complemented
232C23×C4⋊C4C2311yescharacteristic, complemented
233C23×C4⋊C4C2311yescharacteristic, complemented
234C23×C4⋊C4C2311yescharacteristic, complemented
235C23×C4⋊C4C2311yescharacteristic, complemented
236C23×C4⋊C4C2311yescharacteristic, complemented
237C23×C4⋊C4C2311yescharacteristic, complemented
238C23×C4⋊C4C2312yescomplemented
239C23×C4⋊C4C2312yescomplemented
240C23×C4⋊C4C2312yescomplemented
241C23×C4⋊C4C2312yescomplemented
242C23×C4⋊C4C2312yescomplemented
243C23×C4⋊C4C2312yescomplemented
244C23×C22⋊C4—216no—
245C23×C22⋊C4—216no—
246C23×C22⋊C4—232no—
247C23×C22⋊C4—216no—
248C23×C22⋊C4—216no—
249C23×C22⋊C4—232no—
250C23×C22⋊C4—232no—
251C23×C22⋊C4—232no—
252C23×C22⋊C4—232no—
253C23×C22⋊C4—2768no—
254C23×C22⋊C4—48no—
255C23×C22⋊C4—416no—
256C23×C22⋊C4D4132yescomplemented
257C23×C22⋊C4C23124yes—
258C23×C22⋊C4C23148yes—
259C23×C22⋊C4C23148yes—
260C23×C22⋊C4C23148yes—
261C23×C22⋊C4C23148yes—
262C23×C22⋊C4C23124yes—
263C23×C22⋊C4C23148yes—
264C23×C22⋊C4C23124yes—
265C23×C22⋊C4C2312yes—
266C23×C22⋊C4C2312yes—
267C23×C22⋊C4C2312yes—
268C23×C22⋊C4C2312yes—
269C23×C22⋊C4C2312yes—
270C23×C22⋊C4C2312yes—
271C23×C22⋊C4C2311yescharacteristic
272C23×C22⋊C4C2311yescharacteristic
273C23×C22⋊C4C2312yes—
274C23×C22⋊C4C23124yes—
275C23×C22⋊C4C2311yescharacteristic
276C23×C22⋊C4C2312yes—
277C23×C22⋊C4C2311yescharacteristic
278C23×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
290C23×C22⋊C4C2312yes—
291C23×C22⋊C4C2312yes—
292C23×C22⋊C4C2311yescharacteristic
293C23×C22⋊C4C2312yes—
294C23×C22⋊C4C23124yes—
295C23×C22⋊C4C23148yes—
296C23×C22⋊C4C2312yes—
297C23×C22⋊C4C2312yes—
298C23×C22⋊C4C2312yes—
299C23×C22⋊C4C2312yes—
300C23×C22⋊C4C2312yes—
301C23×C22⋊C4C2312yes—
302C23×C22⋊C4C2311yescharacteristic
303C23×C22⋊C4C2311yescharacteristic
304C23×C22⋊C4C2311yescharacteristic
305C23×C22⋊C4C2311yescharacteristic
306C23×C22⋊C4C23124yes—
307C23×C22⋊C4C231256yescomplemented
308C23×C22⋊C4C2311yescharacteristic, complemented
309C23×C22⋊C4C2311yescharacteristic, complemented
310C23×C22⋊C4C2311yescharacteristic, complemented
311C23×C22⋊C4C2312yescomplemented
312C23×C22⋊C4C2312yescomplemented
313C23×C42C2311yescharacteristic, complemented
314C23×C42C2311yescharacteristic, complemented
315C23×C42C2311yescharacteristic, complemented
316C23×C42C2312yescomplemented
317C23×C42C2312yescomplemented
318#2849C231256yescomplemented
319#2848C231256yescomplemented
320#2846C231256yes—
321#2561C231256yescomplemented
322#2534C231256yescomplemented
323#2483C231256yescomplemented
324#2482C231256yescomplemented
325#2480C231512yescomplemented
326#2480C231512yescomplemented
327#2472C231512yescomplemented
328#2437C231512yescomplemented
329#2418C231512yescomplemented
330#2412C231512yescomplemented
331#2412C231256yescomplemented
332#2411C231256yescomplemented
333C2×#399C23148yescomplemented
334C2×#397C23148yescomplemented
335C2×#397C23148yescomplemented
336C2×#397C23148yescomplemented
337C2×#397C23148yescomplemented
338C2×#397C23148yescomplemented
339C2×#396C23148yescomplemented
340C2×#396C23148yescomplemented
341C2×#394C23148yescomplemented
342C2×#394C23148yescomplemented
343C2×#394C23148yescomplemented
344C2×#393C23148yescomplemented
345#2358C231512yescomplemented
346#2342C231512yescomplemented
347#2342C231256yescomplemented
348C4×#120C231256yescomplemented
349C2×#390C23148yescomplemented
350C2×#388C23148yescomplemented
351C2×#388C23148yescomplemented
352C2×#388C23148yescomplemented
353C2×#388C23148yescomplemented
354C2×#388C23148yescomplemented
355C2×#388C23148yescomplemented
356C2×#388C23148yescomplemented
357C2×#388C23148yescomplemented
358C2×#386C23148yescomplemented
359C2×#386C23148yescomplemented
360C2×#386C23148yescomplemented
361C2×#386C23148yescomplemented
362C2×#386C23148yescomplemented
363C2×#386C23124yescomplemented
364C2×#385C23148yescomplemented
365C2×#385C23148yescomplemented
366C2×#385C23124yescomplemented
367C2×#385C23124yescomplemented
368C2×#385C23148yescomplemented
369C2×#385C23148yescomplemented
370C2×#385C23148yescomplemented
371C2×#385C23148yescomplemented
372C2×#385C23148yescomplemented
373C2×#385C23124yescomplemented
374#2280C231256yescomplemented
375C2×#381C23124yescomplemented
376C2×#381C23124yescomplemented
377C2×#381C23124yescomplemented
378C2×#381C23124yescomplemented
379C2×#381C23148yescomplemented
380C2×#380C23124yescomplemented
381C2×#380C23148yescomplemented
382C2×#380C23148yescomplemented
383C2×#380C23148yescomplemented
384C2×#380C23148yescomplemented
385C2×#379C23124yes—
386C2×#379C23124yes—
387C2×#379C23124yes—
388C2×#379C23148yes—
389C2×#379C23124yes—
390C2×#379C23148yes—
391C2×#379C23124yes—
392C2×#379C23124yes—
393C2×#379C23148yes—
394C2×#379C23148yes—
395C2×#379C23124yes—
396C2×#379C231256yescomplemented
397C2×C4×C22⋊C4C23124yescomplemented
398C2×C4×C22⋊C4C23148yescomplemented
399C2×C4×C22⋊C4C23148yescomplemented
400C2×C4×C22⋊C4C23148yescomplemented
401C2×C4×C22⋊C4C23148yescomplemented
402C22×#95C2312yescomplemented
403C22×#95C2312yescomplemented
404C22×#95C2312yescomplemented
405C22×#95C2312yescomplemented
406C22×#95C2312yescomplemented
407C22×#95C2312yescomplemented
408C22×#95C2312yescomplemented
409C22×#95C2312yescomplemented
410C22×#95C2312yescomplemented
411C22×#95C2312yescomplemented
412C22×#95C2312yescomplemented
413C22×#95C2312yescomplemented
414C22×#95C2312yescomplemented
415C22×#95C2312yescomplemented
416C26—28no—
417C26—216no—
418C26—216no—
419C26—28no—
420C26—2512no—
421C26—216no—
422C26—2192no—
423C26—216no—
424C26—28no—
425C26—216no—
426C26—216no—
427C26—2384no—
428C26—216no—
429C26—216no—
430C26—28no—
431C26—216no—
432C26—216no—
433C26—28no—
434C26—216no—
435C26—2192no—
436C26—28no—
437C26—216no—
438C26—28no—
439C26—216no—
440C26—48no—
441C26—48no—
442C26—48no—
443C26—48no—
444C26—48no—
445C26—48no—
446C26—4192no—
447C26—496no—
448C26—4256no—
449C26—4512no—
450C26—4256no—
451C26—4512no—
452C26C2×D4116yes—
453C26#41116yes—
454C26#41132yes—
455C26C2411yescharacteristic
456C26C2411yescharacteristic
457C26C24112yes—
458C26C2412yes—
459C26C24124yes—
460C26C24112yes—
461C26C24164yes—
462C26C24112yes—
463C26C24124yes—
464C26C2411yescharacteristic
465C26C2411yescharacteristic
466C26C2412yes—
467C23×Q8—28no—
468C23×Q8—48no—
469C23×Q8C24112yescomplemented
470C23×D4—28no—
471C23×D4—28no—
472C23×D4—216no—
473C23×D4—28no—
474C23×D4—216no—
475C23×D4—216no—
476C23×D4—216no—
477C23×D4—28no—
478C23×D4—28no—
479C23×D4—216no—
480C23×D4—48no—
481C23×D4—48no—
482C23×D4—48no—
483C23×D4C24112yes—
484C23×D4C24112yes—
485C23×D4C24124yes—
486C23×D4C24112yes—
487C23×D4C24124yes—
488C24×C4—28no—
489C24×C4—28no—
490C24×C4—28no—
491C24×C4—28no—
492C24×C4—28no—
493C24×C4—2192no—
494C24×C4—216no—
495C24×C4—216no—
496C24×C4—28no—
497C24×C4—216no—
498C24×C4—216no—
499C24×C4—216no—
500C24×C4—28no—
501C24×C4—28no—
502C24×C4—216no—
503C24×C4—216no—
504C24×C4—216no—
505C24×C4—216no—
506C24×C4—216no—
507C24×C4—2192no—
508C24×C4—2192no—
509C24×C4—28no—
510C24×C4—48no—
511C24×C4—48no—
512C24×C4—48no—
513C24×C4—496no—
514C24×C4—48no—
515C24×C4—48no—
516C24×C4—48no—
517C24×C4—4192no—
518C24×C4—48no—
519C24×C4—48no—
520C24×C4—48no—
521C24×C4—48no—
522C24×C4—4256no—
523C24×C4—4256no—
524C24×C4C2×D4116yes—
525C24×C4C2×D4116yes—
526C24×C4C24112yes—
527C24×C4C24112yes—
528C24×C4C2412yes—
529C24×C4C2412yes—
530C24×C4C2411yescharacteristic
531C24×C4C2411yescharacteristic
532C24×C4C2411yescharacteristic
533C24×C4C2412yes—
534C24×C4C2411yescharacteristic
535C24×C4C2412yes—
536C24×C4C2411yescharacteristic
537C24×C4C2411yescharacteristic
538C24×C4C2411yescharacteristic
539C24×C4C2412yes—
540C24×C4C2412yes—
541C24×C4C24164yes—
542C24×C4C24124yes—
543C24×C4C24124yes—
544C24×C4C24124yes—
545C24×C4C24124yes—
546C24×C4C24112yes—
547C24×C4C2411yescharacteristic
548C24×C4C2411yescharacteristic
549C24×C4C2411yescharacteristic
550C24×C4C2411yescharacteristic
551C24×C4C24164yes—
552C24×C4C24112yes—
553C24×C4C24112yes—
554C24×C4C24124yes—
555C24×C4C24112yes—
556C24×C4C24112yescomplemented
557#551—22048no—
558C2×#126—2192no—
559C2×#126—2192no—
560C2×#126C24164yescomplemented
561C2×#126C24164yescomplemented
562C2×#124—2192no—
563C2×#124C24164yescomplemented
564C2×#123—2192no—
565C2×#123—2192no—
566C2×#123—2192no—
567C2×#123—496no—
568C2×#123C24164yescomplemented
569C2×#123C24164yescomplemented
570C2×#123C24164yescomplemented
571C2×#123C24164yescomplemented
572C2×C22⋊Q8—2192no—
573C2×C22⋊Q8—2192no—
574C2×C22⋊Q8—4192no—
575C2×C22⋊Q8C24164yescomplemented
576C2×C22⋊Q8C24164yescomplemented
577C2×C22⋊Q8C241128yescomplemented
578C2×#120—2192no—
579C2×#120—2192no—
580C2×#120—2384no—
581C2×#120—496no—
582C2×#120—4192no—
583C2×#120C24164yes—
584C2×#120C241128yes—
585C2×#120C24164yes—
586C2×#120C24164yes—
587C2×#120C241128yes—
588C2×C4×D4—2192no—
589C2×C4×D4—2192no—
590C2×C4×D4—4192no—
591C2×C4×D4C24164yescomplemented
592C2×C4×D4C24164yescomplemented
593C2×C4×D4C241128yescomplemented
594C2×#117—2192no—
595C2×#117—2192no—
596C2×#117—496no—
597C2×#117C24164yescomplemented
598C2×#117C24164yescomplemented
599C2×#117C24164yescomplemented
600C22×C4⋊C4—28no—
601C22×C4⋊C4—28no—
602C22×C4⋊C4—28no—
603C22×C4⋊C4—28no—
604C22×C4⋊C4—28no—
605C22×C4⋊C4—28no—
606C22×C4⋊C4—28no—
607C22×C4⋊C4—28no—
608C22×C4⋊C4—48no—
609C22×C4⋊C4—48no—
610C22×C4⋊C4—48no—
611C22×C4⋊C4—48no—
612C22×C4⋊C4—48no—
613C22×C4⋊C4—48no—
614C22×C4⋊C4C24112yescomplemented
615C22×C4⋊C4C24112yescomplemented
616C22×C4⋊C4C24112yescomplemented
617C22×C4⋊C4C24112yescomplemented
618C22×C4⋊C4C24112yescomplemented
619C22×C4⋊C4C24112yescomplemented
620C22×C4⋊C4C24112yescomplemented
621C22×C4⋊C4C24112yescomplemented
622C22×C4⋊C4C24124yescomplemented
623C22×C4⋊C4C24124yescomplemented
624C22×C4⋊C4C24124yescomplemented
625C22×C4⋊C4C24124yescomplemented
626C22×C4⋊C4C24124yescomplemented
627C22×C4⋊C4C24124yescomplemented
628C22×C22⋊C4—216no—
629C22×C22⋊C4—2192no—
630C22×C22⋊C4—216no—
631C22×C22⋊C4—28no—
632C22×C22⋊C4—28no—
633C22×C22⋊C4—28no—
634C22×C22⋊C4—28no—
635C22×C22⋊C4—2192no—
636C22×C22⋊C4—28no—
637C22×C22⋊C4—28no—
638C22×C22⋊C4—28no—
639C22×C22⋊C4—216no—
640C22×C22⋊C4—216no—
641C22×C22⋊C4—216no—
642C22×C22⋊C4—216no—
643C22×C22⋊C4—2384no—
644C22×C22⋊C4—216no—
645C22×C22⋊C4—216no—
646C22×C22⋊C4—28no—
647C22×C22⋊C4—216no—
648C22×C22⋊C4—216no—
649C22×C22⋊C4—28no—
650C22×C22⋊C4—216no—
651C22×C22⋊C4—216no—
652C22×C22⋊C4—28no—
653C22×C22⋊C4—28no—
654C22×C22⋊C4—216no—
655C22×C22⋊C4—216no—
656C22×C22⋊C4—216no—
657C22×C22⋊C4—216no—
658C22×C22⋊C4—216no—
659C22×C22⋊C4—2192no—
660C22×C22⋊C4—2192no—
661C22×C22⋊C4—28no—
662C22×C22⋊C4—28no—
663C22×C22⋊C4—28no—
664C22×C22⋊C4—2384no—
665C22×C22⋊C4—2384no—
666C22×C22⋊C4—2384no—
667C22×C22⋊C4—2384no—
668C22×C22⋊C4—22048no—
669C22×C22⋊C4—496no—
670C22×C22⋊C4—4192no—
671C22×C22⋊C4—48no—
672C22×C22⋊C4—48no—
673C22×C22⋊C4—48no—
674C22×C22⋊C4—48no—
675C22×C22⋊C4—48no—
676C22×C22⋊C4—48no—
677C22×C22⋊C4—48no—
678C22×C22⋊C4—48no—
679C22×C22⋊C4C2×D4116yes—
680C22×C22⋊C4C2×D4116yes—
681C22×C22⋊C4C2×D4116yes—
682C22×C22⋊C4C2×D4116yes—
683C22×C22⋊C4C2×D41384yescomplemented
684C22×C22⋊C4C24164yes—
685C22×C22⋊C4C241128yes—
686C22×C22⋊C4C241128yes—
687C22×C22⋊C4C24124yes—
688C22×C22⋊C4C24124yes—
689C22×C22⋊C4C24124yes—
690C22×C22⋊C4C24124yes—
691C22×C22⋊C4C24124yes—
692C22×C22⋊C4C24112yes—
693C22×C22⋊C4C24112yes—
694C22×C22⋊C4C24112yes—
695C22×C22⋊C4C24124yes—
696C22×C22⋊C4C24124yes—
697C22×C22⋊C4C24124yes—
698C22×C22⋊C4C24124yes—
699C22×C22⋊C4C24164yes—
700C22×C22⋊C4C241128yes—
701C22×C22⋊C4C24164yes—
702C22×C22⋊C4C241128yes—
703C22×C22⋊C4C241128yes—
704C22×C22⋊C4C24112yes—
705C22×C22⋊C4C24112yes—
706C22×C22⋊C4C24124yes—
707C22×C22⋊C4C24112yes—
708C22×C22⋊C4C24124yes—
709C22×C22⋊C4C24112yes—
710C22×C22⋊C4C24164yes—
711C22×C22⋊C4C24124yes—
712C22×C22⋊C4C24124yes—
713C22×C22⋊C4C24112yes—
714C22×C22⋊C4C24112yes—
715C22×C22⋊C4C24112yes—
716C22×C22⋊C4C24124yes—
717C22×C22⋊C4C24124yes—
718C22×C22⋊C4C24112yes—
719C22×C22⋊C4C24124yes—
720C22×C22⋊C4C24124yes—
721C22×C22⋊C4C24164yes—
722C22×C22⋊C4C241128yes—
723C22×C22⋊C4C24124yes—
724C22×C22⋊C4C24124yes—
725C22×C22⋊C4C24124yes—
726C22×C22⋊C4C24124yes—
727C22×C22⋊C4C24124yes—
728C22×C22⋊C4C24124yes—
729C22×C22⋊C4C24112yes—
730C22×C22⋊C4C24112yes—
731C22×C22⋊C4C24112yes—
732C22×C22⋊C4C24112yes—
733C22×C22⋊C4C24164yes—
734C22×C22⋊C4C24112yescomplemented
735C22×C22⋊C4C24112yescomplemented
736C22×C22⋊C4C24112yescomplemented
737C22×C22⋊C4C24124yescomplemented
738C22×C22⋊C4C24124yescomplemented
739C22×C42—28no—
740C22×C42—28no—
741C22×C42—28no—
742C22×C42—48no—
743C22×C42—48no—
744C22×C42C24112yescomplemented
745C22×C42C24112yescomplemented
746C22×C42C24112yescomplemented
747C22×C42C24124yescomplemented
748C22×C42C24124yescomplemented
749#399C241128yescomplemented
750#397C241128yescomplemented
751#397C241128yescomplemented
752#397C241128yescomplemented
753#397C241128yescomplemented
754#397C241128yescomplemented
755#396C241128yescomplemented
756#396C241128yescomplemented
757#394C241128yescomplemented
758#394C241128yescomplemented
759#394C241128yescomplemented
760#393C241128yescomplemented
761#390C241128yescomplemented
762#388C241128yescomplemented
763#388C241128yescomplemented
764#388C241128yescomplemented
765#388C241128yescomplemented
766#388C241128yescomplemented
767#388C241128yescomplemented
768#388C241128yescomplemented
769#388C241128yescomplemented
770#386C241128yescomplemented
771#386C241128yescomplemented
772#386C241128yescomplemented
773#386C241128yescomplemented
774#386C24164yescomplemented
775#386C241128yescomplemented
776#385C241128yescomplemented
777#385C241128yescomplemented
778#385C24164yescomplemented
779#385C24164yescomplemented
780#385C241128yescomplemented
781#385C241128yescomplemented
782#385C241128yescomplemented
783#385C241128yescomplemented
784#385C241128yescomplemented
785#385C24164yescomplemented
786#381C24164yescomplemented
787#381C24164yescomplemented
788#381C24164yescomplemented
789#381C241128yescomplemented
790#381C24164yescomplemented
791#380C24164yescomplemented
792#380C241128yescomplemented
793#380C241128yescomplemented
794#380C241128yescomplemented
795#380C241128yescomplemented
796#379C24164yes—
797#379C24164yes—
798#379C24164yes—
799#379C241128yes—
800#379C24164yes—
801#379C241128yes—
802#379C24164yes—
803#379C241128yes—
804#379C241128yes—
805#379C24164yes—
806#379C24164yes—
807C4×C22⋊C4C24164yescomplemented
808C4×C22⋊C4C241128yescomplemented
809C4×C22⋊C4C241128yescomplemented
810C4×C22⋊C4C241128yescomplemented
811C4×C22⋊C4C241128yescomplemented
812C2×#95C24124yescomplemented
813C2×#95C24124yescomplemented
814C2×#95C24124yescomplemented
815C2×#95C24124yescomplemented
816C2×#95C24124yescomplemented
817C2×#95C24124yescomplemented
818C2×#95C24124yescomplemented
819C2×#95C24124yescomplemented
820C2×#95C24124yescomplemented
821C2×#95C24124yescomplemented
822C2×#95C24124yescomplemented
823C2×#95C24124yescomplemented
824C2×#95C24124yescomplemented
825C2×#95C24124yescomplemented
826C25—2128no—
827C25—2128no—
828C25—2256no—
829C25—2128no—
830C25—2256no—
831C25—248no—
832C25—28no—
833C25—296no—
834C25—28no—
835C25—28no—
836C25—24no—
837C25—296no—
838C25—248no—
839C25—28no—
840C25—24no—
841C25—28no—
842C25—28no—
843C25—28no—
844C25—23072no—
845C25—2128no—
846C25—2256no—
847C25—2128no—
848C25—2256no—
849C25—2128no—
850C25—2256no—
851C25—296no—
852C25—2256no—
853C25—296no—
854C25—248no—
855C25—28no—
856C25—296no—
857C25—296no—
858C25—2512no—
859C25—296no—
860C25—296no—
861C25—248no—
862C25—296no—
863C25—296no—
864C25—28no—
865C25—28no—
866C25—24no—
867C25—28no—
868C25—248no—
869C25—296no—
870C25—24no—
871C25—28no—
872C25—28no—
873C25—28no—
874C25—28no—
875C25—24no—
876C25—28no—
877C25—24no—
878C25—2256no—
879C25—248no—
880C25—296no—
881C25—24no—
882C25—28no—
883C25—248no—
884C25—296no—
885C25—464no—
886C25—4128no—
887C25—448no—
888C25—448no—
889C25—448no—
890C25—448no—
891C25—448no—
892C25—448no—
893C25—4256no—
894C25—4128no—
895C25—4128no—
896C25—41536no—
897C25—4128no—
898C25—4128no—
899C25—4128no—
900C25—4128no—
901C25—4128no—
902C25—43072no—
903C25—4128no—
904C25—4128no—
905C25—4128no—
906C25—4128no—
907C25—4128no—
908C25—4128no—
909C25—41536no—
910C25—43072no—
911C25—48192no—
912C25—464no—
913C25—4128no—
914C25—464no—
915C25—4128no—
916C25C22×D418yes—
917C25C22×D4196yes—
918C25C22×D418yes—
919C25C22×D418yes—
920C25C2×#41116yes—
921C25C2×#41196yes—
922C25C2×#411192yes—
923C25C2×#41116yes—
924C25C2×#4118yes—
925C25C2×#41116yes—
926C25C2×#41116yes—
927C25H(5,𝔽2)18yes—
928C25H(5,𝔽2)116yes—
929C25C2516yes—
930C25C2516yes—
931C25C25112yes—
932C25C25116yes—
933C25C25132yes—
934C25C25116yes—
935C25C25116yes—
936C25C25132yes—
937C25C2516yes—
938C25C2516yes—
939C25C25112yes—
940C25C2511yescharacteristic
941C22×Q8—248no—
942C22×Q8—448no—
943C22×Q8—832no—
944C22×Q8C25116yescomplemented
945C22×D4—248no—
946C22×D4—248no—
947C22×D4—296no—
948C22×D4—248no—
949C22×D4—296no—
950C22×D4—296no—
951C22×D4—296no—
952C22×D4—248no—
953C22×D4—248no—
954C22×D4—296no—
955C22×D4—448no—
956C22×D4—448no—
957C22×D4—448no—
958C22×D4—464no—
959C22×D4—464no—
960C22×D4—4128no—
961C22×D4—832no—
962C22×D4—864no—
963C22×D4C25116yes—
964C22×D4C25116yes—
965C22×D4C25132yes—
966C22×D4C25116yes—
967C22×D4C25132yes—
968C23×C4—2128no—
969C23×C4—248no—
970C23×C4—24no—
971C23×C4—24no—
972C23×C4—24no—
973C23×C4—28no—
974C23×C4—248no—
975C23×C4—28no—
976C23×C4—24no—
977C23×C4—248no—
978C23×C4—248no—
979C23×C4—28no—
980C23×C4—28no—
981C23×C4—24no—
982C23×C4—24no—
983C23×C4—24no—
984C23×C4—24no—
985C23×C4—24no—
986C23×C4—24no—
987C23×C4—24no—
988C23×C4—248no—
989C23×C4—296no—
990C23×C4—28no—
991C23×C4—28no—
992C23×C4—28no—
993C23×C4—28no—
994C23×C4—28no—
995C23×C4—24no—
996C23×C4—28no—
997C23×C4—28no—
998C23×C4—28no—
999C23×C4—2256no—
1000C23×C4—296no—
1001C23×C4—296no—
1002C23×C4—248no—
1003C23×C4—28no—
1004C23×C4—28no—
1005C23×C4—28no—
1006C23×C4—28no—
1007C23×C4—28no—
1008C23×C4—28no—
1009C23×C4—28no—
1010C23×C4—28no—
1011C23×C4—28no—
1012C23×C4—28no—
1013C23×C4—24no—
1014C23×C4—28no—
1015C23×C4—28no—
1016C23×C4—28no—
1017C23×C4—28no—
1018C23×C4—296no—
1019C23×C4—296no—
1020C23×C4—248no—
1021C23×C4—248no—
1022C23×C4—296no—
1023C23×C4—296no—
1024C23×C4—296no—
1025C23×C4—296no—
1026C23×C4—296no—
1027C23×C4—2256no—
1028C23×C4—2256no—
1029C23×C4—248no—
1030C23×C4—464no—
1031C23×C4—448no—
1032C23×C4—448no—
1033C23×C4—448no—
1034C23×C4—448no—
1035C23×C4—448no—
1036C23×C4—4128no—
1037C23×C4—448no—
1038C23×C4—4256no—
1039C23×C4—448no—
1040C23×C4—448no—
1041C23×C4—448no—
1042C23×C4—448no—
1043C23×C4—41536no—
1044C23×C4—4128no—
1045C23×C4—4128no—
1046C23×C4—4128no—
1047C23×C4—4128no—
1048C23×C4—41536no—
1049C23×C4—464no—
1050C23×C4—464no—
1051C23×C4—464no—
1052C23×C4—832no—
1053C23×C4—832no—
1054C23×C4—864no—
1055C23×C4C22×D418yes—
1056C23×C4C22×D418yes—
1057C23×C4C22×D418yes—
1058C23×C4C22×D418yes—
1059C23×C4C22×D4196yes—
1060C23×C4C22×D4196yes—
1061C23×C4C2516yes—
1062C23×C4C2516yes—
1063C23×C4C25112yes—
1064C23×C4C2516yes—
1065C23×C4C25112yes—
1066C23×C4C2516yes—
1067C23×C4C2516yes—
1068C23×C4C2516yes—
1069C23×C4C2516yes—
1070C23×C4C25112yes—
1071C23×C4C25112yes—
1072C23×C4C25116yes—
1073C23×C4C25112yes—
1074C23×C4C25112yes—
1075C23×C4C25116yes—
1076C23×C4C25132yes—
1077C23×C4C25132yes—
1078C23×C4C25132yes—
1079C23×C4C25132yes—
1080C23×C4C2516yes—
1081C23×C4C2516yes—
1082C23×C4C2516yes—
1083C23×C4C2516yes—
1084C23×C4C25116yes—
1085C23×C4C25116yes—
1086C23×C4C25132yes—
1087C23×C4C25116yes—
1088C23×C4C25116yes—
1089C23×C4C25116yescomplemented
1090#126—2256no—
1091#126—2256no—
1092#124—2256no—
1093#123—2256no—
1094#123—2256no—
1095#123—2256no—
1096#123—4128no—
1097C22⋊Q8—2256no—
1098C22⋊Q8—2256no—
1099C22⋊Q8—4256no—
1100#120—2256no—
1101#120—2256no—
1102#120—2512no—
1103#120—4128no—
1104#120—4256no—
1105C4×D4—2256no—
1106C4×D4—2256no—
1107C4×D4—4256no—
1108#117—2256no—
1109#117—2256no—
1110#117—4128no—
1111C2×C4⋊C4—248no—
1112C2×C4⋊C4—248no—
1113C2×C4⋊C4—248no—
1114C2×C4⋊C4—248no—
1115C2×C4⋊C4—248no—
1116C2×C4⋊C4—248no—
1117C2×C4⋊C4—248no—
1118C2×C4⋊C4—248no—
1119C2×C4⋊C4—448no—
1120C2×C4⋊C4—448no—
1121C2×C4⋊C4—448no—
1122C2×C4⋊C4—448no—
1123C2×C4⋊C4—448no—
1124C2×C4⋊C4—448no—
1125C2×C4⋊C4C25116yescomplemented
1126C2×C4⋊C4C25116yescomplemented
1127C2×C4⋊C4C25116yescomplemented
1128C2×C4⋊C4C25116yescomplemented
1129C2×C4⋊C4C25116yescomplemented
1130C2×C4⋊C4C25116yescomplemented
1131C2×C4⋊C4C25116yescomplemented
1132C2×C4⋊C4C25116yescomplemented
1133C2×C4⋊C4C25132yescomplemented
1134C2×C4⋊C4C25132yescomplemented
1135C2×C4⋊C4C25132yescomplemented
1136C2×C4⋊C4C25132yescomplemented
1137C2×C4⋊C4C25132yescomplemented
1138C2×C4⋊C4C25132yescomplemented
1139C2×C22⋊C4—296no—
1140C2×C22⋊C4—2256no—
1141C2×C22⋊C4—296no—
1142C2×C22⋊C4—248no—
1143C2×C22⋊C4—248no—
1144C2×C22⋊C4—248no—
1145C2×C22⋊C4—248no—
1146C2×C22⋊C4—2256no—
1147C2×C22⋊C4—248no—
1148C2×C22⋊C4—248no—
1149C2×C22⋊C4—248no—
1150C2×C22⋊C4—296no—
1151C2×C22⋊C4—296no—
1152C2×C22⋊C4—296no—
1153C2×C22⋊C4—296no—
1154C2×C22⋊C4—2512no—
1155C2×C22⋊C4—296no—
1156C2×C22⋊C4—296no—
1157C2×C22⋊C4—248no—
1158C2×C22⋊C4—296no—
1159C2×C22⋊C4—296no—
1160C2×C22⋊C4—248no—
1161C2×C22⋊C4—296no—
1162C2×C22⋊C4—296no—
1163C2×C22⋊C4—248no—
1164C2×C22⋊C4—248no—
1165C2×C22⋊C4—296no—
1166C2×C22⋊C4—296no—
1167C2×C22⋊C4—296no—
1168C2×C22⋊C4—296no—
1169C2×C22⋊C4—296no—
1170C2×C22⋊C4—2256no—
1171C2×C22⋊C4—2256no—
1172C2×C22⋊C4—248no—
1173C2×C22⋊C4—248no—
1174C2×C22⋊C4—248no—
1175C2×C22⋊C4—2512no—
1176C2×C22⋊C4—2512no—
1177C2×C22⋊C4—2512no—
1178C2×C22⋊C4—2512no—
1179C2×C22⋊C4—4128no—
1180C2×C22⋊C4—4256no—
1181C2×C22⋊C4—448no—
1182C2×C22⋊C4—448no—
1183C2×C22⋊C4—448no—
1184C2×C22⋊C4—448no—
1185C2×C22⋊C4—448no—
1186C2×C22⋊C4—448no—
1187C2×C22⋊C4—448no—
1188C2×C22⋊C4—448no—
1189C2×C22⋊C4C22×D4196yes—
1190C2×C22⋊C4C22×D4196yes—
1191C2×C22⋊C4C22×D4196yes—
1192C2×C22⋊C4C22×D4196yes—
1193C2×C22⋊C4C22×D41512yescomplemented
1194C2×C22⋊C4C25132yes—
1195C2×C22⋊C4C25132yes—
1196C2×C22⋊C4C25132yes—
1197C2×C22⋊C4C25132yes—
1198C2×C22⋊C4C25132yes—
1199C2×C22⋊C4C25132yes—
1200C2×C22⋊C4C25116yes—
1201C2×C22⋊C4C25116yes—
1202C2×C22⋊C4C25132yes—
1203C2×C22⋊C4C25116yes—
1204C2×C22⋊C4C25132yes—
1205C2×C22⋊C4C25116yes—
1206C2×C22⋊C4C25116yes—
1207C2×C22⋊C4C25116yes—
1208C2×C22⋊C4C25132yes—
1209C2×C22⋊C4C25132yes—
1210C2×C22⋊C4C25132yes—
1211C2×C22⋊C4C25132yes—
1212C2×C22⋊C4C25116yes—
1213C2×C22⋊C4C25116yes—
1214C2×C22⋊C4C25116yes—
1215C2×C22⋊C4C25132yes—
1216C2×C22⋊C4C25116yes—
1217C2×C22⋊C4C25132yes—
1218C2×C22⋊C4C25116yes—
1219C2×C22⋊C4C25132yes—
1220C2×C22⋊C4C25132yes—
1221C2×C22⋊C4C25132yes—
1222C2×C22⋊C4C25132yes—
1223C2×C22⋊C4C25132yes—
1224C2×C22⋊C4C25132yes—
1225C2×C22⋊C4C25132yes—
1226C2×C22⋊C4C25132yes—
1227C2×C22⋊C4C25132yes—
1228C2×C22⋊C4C25116yes—
1229C2×C22⋊C4C25116yes—
1230C2×C22⋊C4C25116yes—
1231C2×C22⋊C4C25116yes—
1232C2×C22⋊C4C25116yescomplemented
1233C2×C22⋊C4C25116yescomplemented
1234C2×C22⋊C4C25116yescomplemented
1235C2×C22⋊C4C25132yescomplemented
1236C2×C22⋊C4C25132yescomplemented
1237C2×C42—248no—
1238C2×C42—248no—
1239C2×C42—248no—
1240C2×C42—448no—
1241C2×C42—448no—
1242C2×C42C25116yescomplemented
1243C2×C42C25116yescomplemented
1244C2×C42C25116yescomplemented
1245C2×C42C25132yescomplemented
1246C2×C42C25132yescomplemented
1247#95C25132yescomplemented
1248#95C25132yescomplemented
1249#95C25132yescomplemented
1250#95C25132yescomplemented
1251#95C25132yescomplemented
1252#95C25132yescomplemented
1253#95C25132yescomplemented
1254#95C25132yescomplemented
1255#95C25132yescomplemented
1256#95C25132yescomplemented
1257#95C25132yescomplemented
1258#95C25132yescomplemented
1259#95C25132yescomplemented
1260#95C25132yescomplemented
1261C24—2384no—
1262C24—2384no—
1263C24—2768no—
1264C24—22048no—
1265C24—232no—
1266C24—224no—
1267C24—264no—
1268C24—224no—
1269C24—224no—
1270C24—212no—
1271C24—264no—
1272C24—232no—
1273C24—224no—
1274C24—224no—
1275C24—224no—
1276C24—212no—
1277C24—224no—
1278C24—232no—
1279C24—264no—
1280C24—2384no—
1281C24—264no—
1282C24—232no—
1283C24—264no—
1284C24—264no—
1285C24—264no—
1286C24—2768no—
1287C24—232no—
1288C24—264no—
1289C24—232no—
1290C24—264no—
1291C24—264no—
1292C24—264no—
1293C24—264no—
1294C24—22048no—
1295C24—2384no—
1296C24—2768no—
1297C24—264no—
1298C24—264no—
1299C24—232no—
1300C24—224no—
1301C24—264no—
1302C24—264no—
1303C24—264no—
1304C24—264no—
1305C24—232no—
1306C24—264no—
1307C24—264no—
1308C24—224no—
1309C24—224no—
1310C24—212no—
1311C24—224no—
1312C24—232no—
1313C24—264no—
1314C24—212no—
1315C24—224no—
1316C24—224no—
1317C24—224no—
1318C24—224no—
1319C24—2384no—
1320C24—232no—
1321C24—2768no—
1322C24—264no—
1323C24—2384no—
1324C24—232no—
1325C24—264no—
1326C24—2768no—
1327C24—232no—
1328C24—264no—
1329C24—212no—
1330C24—224no—
1331C24—212no—
1332C24—232no—
1333C24—264no—
1334C24—212no—
1335C24—224no—
1336C24—232no—
1337C24—264no—
1338C24—4192no—
1339C24—4384no—
1340C24—432no—
1341C24—432no—
1342C24—432no—
1343C24—432no—
1344C24—432no—
1345C24—432no—
1346C24—4384no—
1347C24—4384no—
1348C24—4384no—
1349C24—4384no—
1350C24—4384no—
1351C24—4384no—
1352C24—41024no—
1353C24—42048no—
1354C24—4384no—
1355C24—41024no—
1356C24—4384no—
1357C24—4384no—
1358C24—4384no—
1359C24—4384no—
1360C24—4384no—
1361C24—42048no—
1362C24—41024no—
1363C24—42048no—
1364C24—424576no—
1365C24—4192no—
1366C24—4384no—
1367C24—41024no—
1368C24—42048no—
1369C24—4192no—
1370C24—432no—
1371C24—432no—
1372C24—432no—
1373C24—4384no—
1374C24—432no—
1375C24—432no—
1376C24—432no—
1377C24—416no—
1378C24—416no—
1379C24—432no—
1380C24—416no—
1381C24—432no—
1382C24#525164yes—
1383C24#546164yes—
1384C24#5511128yescomplemented
1385C24C23×D4124yes—
1386C24C23×D4164yes—
1387C24C23×D4124yes—
1388C24C23×D4124yes—
1389C24C23×D414yes—
1390C24C22×#41148yes—
1391C24C22×#41164yes—
1392C24C22×#411128yes—
1393C24C22×#41148yes—
1394C24C22×#41124yes—
1395C24C22×#41148yes—
1396C24C22×#41148yes—
1397C24C22×#4118yes—
1398C24C22×#4114yes—
1399C24C2×H(5,𝔽2)124yes—
1400C24C2×H(5,𝔽2)148yes—
1401C24C2×H(5,𝔽2)14yes—
1402C24C2×H(5,𝔽2)18yes—
1403C24C2614yes—
1404C24C2614yes—
1405C24C2618yes—
1406C24C2614yes—
1407C24C2614yes—
1408C24C2618yes—
1409C24C2613yes—
1410C2×Q8—232no—
1411C2×Q8—432no—
1412C2×Q8—896no—
1413C2×D4—232no—
1414C2×D4—232no—
1415C2×D4—264no—
1416C2×D4—232no—
1417C2×D4—264no—
1418C2×D4—264no—
1419C2×D4—264no—
1420C2×D4—232no—
1421C2×D4—232no—
1422C2×D4—264no—
1423C2×D4—432no—
1424C2×D4—432no—
1425C2×D4—432no—
1426C2×D4—4192no—
1427C2×D4—4192no—
1428C2×D4—4384no—
1429C2×D4—896no—
1430C2×D4—8192no—
1431C22×C4—232no—
1432C22×C4—212no—
1433C22×C4—212no—
1434C22×C4—212no—
1435C22×C4—224no—
1436C22×C4—212no—
1437C22×C4—224no—
1438C22×C4—232no—
1439C22×C4—2384no—
1440C22×C4—232no—
1441C22×C4—232no—
1442C22×C4—232no—
1443C22×C4—232no—
1444C22×C4—212no—
1445C22×C4—212no—
1446C22×C4—212no—
1447C22×C4—212no—
1448C22×C4—212no—
1449C22×C4—232no—
1450C22×C4—224no—
1451C22×C4—232no—
1452C22×C4—224no—
1453C22×C4—212no—
1454C22×C4—212no—
1455C22×C4—232no—
1456C22×C4—224no—
1457C22×C4—224no—
1458C22×C4—264no—
1459C22×C4—224no—
1460C22×C4—224no—
1461C22×C4—224no—
1462C22×C4—224no—
1463C22×C4—212no—
1464C22×C4—224no—
1465C22×C4—224no—
1466C22×C4—264no—
1467C22×C4—264no—
1468C22×C4—232no—
1469C22×C4—224no—
1470C22×C4—224no—
1471C22×C4—224no—
1472C22×C4—224no—
1473C22×C4—224no—
1474C22×C4—224no—
1475C22×C4—224no—
1476C22×C4—224no—
1477C22×C4—224no—
1478C22×C4—224no—
1479C22×C4—224no—
1480C22×C4—212no—
1481C22×C4—224no—
1482C22×C4—224no—
1483C22×C4—224no—
1484C22×C4—264no—
1485C22×C4—264no—
1486C22×C4—232no—
1487C22×C4—232no—
1488C22×C4—264no—
1489C22×C4—264no—
1490C22×C4—264no—
1491C22×C4—264no—
1492C22×C4—264no—
1493C22×C4—232no—
1494C22×C4—4192no—
1495C22×C4—432no—
1496C22×C4—432no—
1497C22×C4—432no—
1498C22×C4—432no—
1499C22×C4—432no—
1500C22×C4—432no—
1501C22×C4—432no—
1502C22×C4—432no—
1503C22×C4—432no—
1504C22×C4—432no—
1505C22×C4—4384no—
1506C22×C4—4384no—
1507C22×C4—41024no—
1508C22×C4—4384no—
1509C22×C4—4384no—
1510C22×C4—41024no—
1511C22×C4—4192no—
1512C22×C4—4192no—
1513C22×C4—416no—
1514C22×C4—416no—
1515C22×C4—416no—
1516C22×C4—4192no—
1517C22×C4—432no—
1518C22×C4—416no—
1519C22×C4—432no—
1520C22×C4—432no—
1521C22×C4—416no—
1522C22×C4—416no—
1523C22×C4—416no—
1524C22×C4—432no—
1525C22×C4—432no—
1526C22×C4—432no—
1527C22×C4—896no—
1528C22×C4—896no—
1529C22×C4—8192no—
1530C22×C4C23×D4124yes—
1531C22×C4C23×D4124yes—
1532C22×C4C23×D4124yes—
1533C22×C4C23×D4124yes—
1534C22×C4C23×D4164yes—
1535C22×C4C23×D4164yes—
1536C22×C4C2618yes—
1537C22×C4C2618yes—
1538C22×C4C2614yes—
1539C22×C4C2618yes—
1540C22×C4C2614yes—
1541C22×C4C2618yes—
1542C22×C4C2614yes—
1543C22×C4C2618yes—
1544C22×C4C2618yes—
1545C22×C4C2614yes—
1546C22×C4C2614yes—
1547C22×C4C2614yes—
1548C22×C4C2614yes—
1549C22×C4C2614yes—
1550C22×C4C2614yes—
1551C22×C4C2614yes—
1552C22×C4C2614yes—
1553C4⋊C4—232no—
1554C4⋊C4—232no—
1555C4⋊C4—232no—
1556C4⋊C4—232no—
1557C4⋊C4—232no—
1558C4⋊C4—232no—
1559C4⋊C4—232no—
1560C4⋊C4—232no—
1561C4⋊C4—432no—
1562C4⋊C4—432no—
1563C4⋊C4—432no—
1564C4⋊C4—432no—
1565C4⋊C4—432no—
1566C4⋊C4—432no—
1567C22⋊C4—264no—
1568C22⋊C4—264no—
1569C22⋊C4—232no—
1570C22⋊C4—232no—
1571C22⋊C4—232no—
1572C22⋊C4—232no—
1573C22⋊C4—232no—
1574C22⋊C4—232no—
1575C22⋊C4—232no—
1576C22⋊C4—264no—
1577C22⋊C4—264no—
1578C22⋊C4—264no—
1579C22⋊C4—264no—
1580C22⋊C4—264no—
1581C22⋊C4—264no—
1582C22⋊C4—232no—
1583C22⋊C4—264no—
1584C22⋊C4—264no—
1585C22⋊C4—232no—
1586C22⋊C4—264no—
1587C22⋊C4—264no—
1588C22⋊C4—232no—
1589C22⋊C4—232no—
1590C22⋊C4—264no—
1591C22⋊C4—264no—
1592C22⋊C4—264no—
1593C22⋊C4—264no—
1594C22⋊C4—264no—
1595C22⋊C4—232no—
1596C22⋊C4—232no—
1597C22⋊C4—232no—
1598C22⋊C4—432no—
1599C22⋊C4—432no—
1600C22⋊C4—432no—
1601C22⋊C4—432no—
1602C22⋊C4—432no—
1603C22⋊C4—432no—
1604C22⋊C4—432no—
1605C22⋊C4—432no—
1606C22⋊C4C23×D4164yes—
1607C22⋊C4C23×D4164yes—
1608C22⋊C4C23×D4164yes—
1609C22⋊C4C23×D4164yes—
1610C42—232no—
1611C42—232no—
1612C42—232no—
1613C42—432no—
1614C42—432no—
1615C23—2128no—
1616C23—2128no—
1617C23—2256no—
1618C23—23072no—
1619C23—248no—
1620C23—296no—
1621C23—248no—
1622C23—296no—
1623C23—296no—
1624C23—296no—
1625C23—296no—
1626C23—2256no—
1627C23—2512no—
1628C23—2256no—
1629C23—28no—
1630C23—28no—
1631C23—28no—
1632C23—24no—
1633C23—28no—
1634C23—24no—
1635C23—28no—
1636C23—28no—
1637C23—28no—
1638C23—248no—
1639C23—296no—
1640C23—2128no—
1641C23—296no—
1642C23—248no—
1643C23—296no—
1644C23—296no—
1645C23—296no—
1646C23—2256no—
1647C23—2128no—
1648C23—2256no—
1649C23—248no—
1650C23—296no—
1651C23—28no—
1652C23—28no—
1653C23—28no—
1654C23—24no—
1655C23—28no—
1656C23—24no—
1657C23—28no—
1658C23—28no—
1659C23—28no—
1660C23—28no—
1661C23—2128no—
1662C23—248no—
1663C23—2256no—
1664C23—296no—
1665C23—2128no—
1666C23—248no—
1667C23—296no—
1668C23—2256no—
1669C23—24no—
1670C23—28no—
1671C23—24no—
1672C23—24no—
1673C23—28no—
1674C23—464no—
1675C23—4128no—
1676C23—4128no—
1677C23—4128no—
1678C23—4128no—
1679C23—4128no—
1680C23—4128no—
1681C23—4128no—
1682C23—4128no—
1683C23—4128no—
1684C23—4128no—
1685C23—4128no—
1686C23—4128no—
1687C23—4128no—
1688C23—41536no—
1689C23—43072no—
1690C23—48192no—
1691C23—464no—
1692C23—4128no—
1693C23—41536no—
1694C23—43072no—
1695C23—448no—
1696C23—448no—
1697C23—448no—
1698C23—4128no—
1699C23—4256no—
1700C23—464no—
1701C23—448no—
1702C23—448no—
1703C23—448no—
1704C23—4128no—
1705C23—424no—
1706C23—448no—
1707C23—424no—
1708C23—424no—
1709C23—448no—
1710C23—864no—
1711C23C2×#525196yes—
1712C23C2×#525116yes—
1713C23C2×#546196yes—
1714C23C2×#546116yes—
1715C23C2×#551132yes—
1716C23C2×#5511192yescomplemented
1717C23#3484116yes—
1718C23#3490132yes—
1719C23C24×D418yes—
1720C23C24×D418yes—
1721C23C24×D418yes—
1722C23C24×D416yes—
1723C23C23×#41116yes—
1724C23C23×#41116yes—
1725C23C23×#4118yes—
1726C23C23×#41116yes—
1727C23C23×#41116yes—
1728C23C23×#41112yes—
1729C23C23×#4116yes—
1730C23C22×H(5,𝔽2)18yes—
1731C23C22×H(5,𝔽2)116yes—
1732C23C22×H(5,𝔽2)112yes—
1733C23C22×H(5,𝔽2)16yes—
1734C23C2711yescharacteristic
1735Q8—832no—
1736D4—464no—
1737D4—464no—
1738D4—4128no—
1739D4—832no—
1740D4—864no—
1741C2×C4—248no—
1742C2×C4—248no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—28no—
1747C2×C4—24no—
1748C2×C4—28no—
1749C2×C4—2128no—
1750C2×C4—248no—
1751C2×C4—248no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—28no—
1758C2×C4—28no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—28no—
1762C2×C4—28no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—24no—
1767C2×C4—28no—
1768C2×C4—28no—
1769C2×C4—28no—
1770C2×C4—28no—
1771C2×C4—28no—
1772C2×C4—28no—
1773C2×C4—28no—
1774C2×C4—28no—
1775C2×C4—28no—
1776C2×C4—28no—
1777C2×C4—28no—
1778C2×C4—28no—
1779C2×C4—28no—
1780C2×C4—28no—
1781C2×C4—24no—
1782C2×C4—28no—
1783C2×C4—28no—
1784C2×C4—28no—
1785C2×C4—464no—
1786C2×C4—4128no—
1787C2×C4—4128no—
1788C2×C4—4128no—
1789C2×C4—4128no—
1790C2×C4—464no—
1791C2×C4—448no—
1792C2×C4—424no—
1793C2×C4—424no—
1794C2×C4—424no—
1795C2×C4—448no—
1796C2×C4—448no—
1797C2×C4—448no—
1798C2×C4—464no—
1799C2×C4—424no—
1800C2×C4—424no—
1801C2×C4—424no—
1802C2×C4—464no—
1803C2×C4—448no—
1804C2×C4—424no—
1805C2×C4—448no—
1806C2×C4—832no—
1807C2×C4—832no—
1808C2×C4—864no—
1809C2×C4C24×D418yes—
1810C2×C4C24×D418yes—
1811C2×C4C24×D418yes—
1812C2×C4C24×D418yes—
1813C22—2512no—
1814C22—28no—
1815C22—216no—
1816C22—216no—
1817C22—28no—
1818C22—216no—
1819C22—216no—
1820C22—216no—
1821C22—28no—
1822C22—216no—
1823C22—28no—
1824C22—216no—
1825C22—216no—
1826C22—216no—
1827C22—216no—
1828C22—2192no—
1829C22—2384no—
1830C22—2192no—
1831C22—28no—
1832C22—216no—
1833C22—28no—
1834C22—216no—
1835C22—28no—
1836C22—216no—
1837C22—4256no—
1838C22—4512no—
1839C22—4256no—
1840C22—4512no—
1841C22—48no—
1842C22—48no—
1843C22—48no—
1844C22—48no—
1845C22—48no—
1846C22—48no—
1847C22—496no—
1848C22—4192no—
1849C22—44no—
1850C22—44no—
1851C22—48no—
1852C22—44no—
1853C22—48no—
1854C22—848no—
1855C22#36158164yesdirect product factor
1856C22C22×#525116yes—
1857C22C22×#525112yes—
1858C22C22×#546116yes—
1859C22C22×#546112yes—
1860C22C22×#551124yes—
1861C22C22×#551132yescomplemented
1862C22C2×#3484112yes—
1863C22C2×#3490124yes—
1864C22C25×D411yescharacteristic
1865C22C24×#4112yes—
1866C22C24×#4111yescharacteristic
1867C22C23×H(5,𝔽2)11yescharacteristic
1868C22C23×H(5,𝔽2)12yes—
1869C4—28no—
1870C4—28no—
1871C4—28no—
1872C4—28no—
1873C4—44no—
1874C4—44no—
1875C4—44no—
1876C4—48no—
1877C4—44no—
1878C4—48no—
1879C4—48no—
1880C4—44no—
1881C4—44no—
1882C4—44no—
1883C4—48no—
1884C4—48no—
1885C4—48no—
1886C2—216no—
1887C2—232no—
1888C2—216no—
1889C2—48no—
1890C2—416no—
1891C2—84no—
1892C2C2×#36158124yesdirect product factor
1893C2C23×#52511yescharacteristic
1894C2C23×#54611yescharacteristic
1895C2C23×#55112yes—
1896C2C22×#348411yescharacteristic
1897C2C22×#349012yes—
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC23C27
prime radicalC22×#2846C2
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. C25×C22⋊C4C2semidirect
3. C22×#2849C2semidirect
4. C22×#2848C2semidirect
6. C2×#36158C2direct (N × H)
7. C22×#2561C2semidirect
8. C22×#2534C2semidirect
9. C22×#2482C2semidirect
10. C22×#2483C2semidirect
11. C22×#2411C2semidirect
12. C22×#2480C2semidirect
13. C22×#2480C2semidirect
14. C22×#2472C2semidirect
15. C22×#2412C2semidirect
16. C22×#2412C2semidirect
17. C22×#2418C2semidirect
18. C22×#2437C2semidirect
19. C22×#2358C2semidirect
20. C22×#2342C2semidirect
21. C22×#2342C2semidirect
22. C22×C4×#120C2semidirect
23. C22×#2280C2semidirect
24. C23×#379C2semidirect
29. C22×#551C22semidirect
30. C23×#126C22semidirect
31. C23×#126C22semidirect
32. C23×#124C22semidirect
33. C23×#123C22semidirect
34. C23×#123C22semidirect
35. C23×#123C22semidirect
36. C23×#123C22semidirect
37. C23×C22⋊Q8C22semidirect
38. C23×C22⋊Q8C22semidirect
39. C23×C22⋊Q8C22semidirect
45. C23×C4×D4C22semidirect
46. C23×C4×D4C22semidirect
47. C23×C4×D4C22semidirect
48. C23×#117C22semidirect
49. C23×#117C22semidirect
50. C23×#117C22semidirect
64. C24×C22⋊C4C22semidirect
65. C2×#2849C22semidirect
66. C2×#2848C22semidirect
68. #36158C22direct (N × H)
69. C2×#2561C22semidirect
70. C2×#2534C22semidirect
71. C2×#2482C22semidirect
72. C2×#2483C22semidirect
73. C2×#2411C22semidirect
74. C2×#2480C22semidirect
75. C2×#2480C22semidirect
76. C2×#2472C22semidirect
77. C2×#2412C22semidirect
78. C2×#2412C22semidirect
79. C2×#2418C22semidirect
80. C2×#2437C22semidirect
81. C22×#399C22semidirect
82. C22×#397C22semidirect
83. C22×#397C22semidirect
84. C22×#397C22semidirect
85. C22×#397C22semidirect
86. C22×#397C22semidirect
87. C22×#396C22semidirect
88. C22×#396C22semidirect
89. C22×#394C22semidirect
90. C22×#394C22semidirect
91. C22×#394C22semidirect
92. C22×#393C22semidirect
93. C2×#2358C22semidirect
94. C2×#2342C22semidirect
95. C2×#2342C22semidirect
96. C2×C4×#120C22semidirect
97. C22×#390C22semidirect
98. C22×#388C22semidirect
99. C22×#388C22semidirect
100. C22×#388C22semidirect
101. C22×#388C22semidirect
102. C22×#388C22semidirect
103. C22×#388C22semidirect
104. C22×#388C22semidirect
105. C22×#388C22semidirect
106. C22×#386C22semidirect
107. C22×#386C22semidirect
108. C22×#386C22semidirect
109. C22×#386C22semidirect
110. C22×#386C22semidirect
111. C22×#386C22semidirect
112. C22×#385C22semidirect
113. C22×#385C22semidirect
114. C22×#385C22semidirect
115. C22×#385C22semidirect
116. C22×#385C22semidirect
117. C22×#385C22semidirect
118. C22×#385C22semidirect
119. C22×#385C22semidirect
120. C22×#385C22semidirect
121. C22×#385C22semidirect
122. C2×#2280C22semidirect
123. C22×#381C22semidirect
124. C22×#381C22semidirect
125. C22×#381C22semidirect
126. C22×#381C22semidirect
127. C22×#381C22semidirect
128. C22×#380C22semidirect
129. C22×#380C22semidirect
130. C22×#380C22semidirect
131. C22×#380C22semidirect
132. C22×#380C22semidirect
144. C22×#379C22semidirect
145. C22×C4×C22⋊C4C22semidirect
146. C22×C4×C22⋊C4C22semidirect
147. C22×C4×C22⋊C4C22semidirect
148. C22×C4×C22⋊C4C22semidirect
149. C22×C4×C22⋊C4C22semidirect
161. C24×Q8C23semidirect
185. C25×C4C23semidirect
187. C2×#551C23semidirect
190. C22×#126C23semidirect
191. C22×#126C23semidirect
193. C22×#124C23semidirect
198. C22×#123C23semidirect
199. C22×#123C23semidirect
200. C22×#123C23semidirect
201. C22×#123C23semidirect
205. C22×C22⋊Q8C23semidirect
206. C22×C22⋊Q8C23semidirect
207. C22×C22⋊Q8C23semidirect
221. C22×C4×D4C23semidirect
222. C22×C4×D4C23semidirect
223. C22×C4×D4C23semidirect
227. C22×#117C23semidirect
228. C22×#117C23semidirect
229. C22×#117C23semidirect
230. C23×C4⋊C4C23semidirect
231. C23×C4⋊C4C23semidirect
232. C23×C4⋊C4C23semidirect
233. C23×C4⋊C4C23semidirect
234. C23×C4⋊C4C23semidirect
235. C23×C4⋊C4C23semidirect
236. C23×C4⋊C4C23semidirect
237. C23×C4⋊C4C23semidirect
238. C23×C4⋊C4C23semidirect
239. C23×C4⋊C4C23semidirect
240. C23×C4⋊C4C23semidirect
241. C23×C4⋊C4C23semidirect
242. C23×C4⋊C4C23semidirect
243. C23×C4⋊C4C23semidirect
256. C23×C22⋊C4D4semidirect
307. C23×C22⋊C4C23semidirect
308. C23×C22⋊C4C23semidirect
309. C23×C22⋊C4C23semidirect
310. C23×C22⋊C4C23semidirect
311. C23×C22⋊C4C23semidirect
312. C23×C22⋊C4C23semidirect
313. C23×C42C23semidirect
314. C23×C42C23semidirect
315. C23×C42C23semidirect
316. C23×C42C23semidirect
317. C23×C42C23semidirect
318. #2849C23semidirect
319. #2848C23semidirect
321. #2561C23semidirect
322. #2534C23semidirect
323. #2483C23semidirect
324. #2482C23semidirect
325. #2480C23semidirect
326. #2480C23semidirect
327. #2472C23semidirect
328. #2437C23semidirect
329. #2418C23semidirect
330. #2412C23semidirect
331. #2412C23semidirect
332. #2411C23semidirect
333. C2×#399C23semidirect
334. C2×#397C23semidirect
335. C2×#397C23semidirect
336. C2×#397C23semidirect
337. C2×#397C23semidirect
338. C2×#397C23semidirect
339. C2×#396C23semidirect
340. C2×#396C23semidirect
341. C2×#394C23semidirect
342. C2×#394C23semidirect
343. C2×#394C23semidirect
344. C2×#393C23semidirect
345. #2358C23semidirect
346. #2342C23semidirect
347. #2342C23semidirect
348. C4×#120C23semidirect
349. C2×#390C23semidirect
350. C2×#388C23semidirect
351. C2×#388C23semidirect
352. C2×#388C23semidirect
353. C2×#388C23semidirect
354. C2×#388C23semidirect
355. C2×#388C23semidirect
356. C2×#388C23semidirect
357. C2×#388C23semidirect
358. C2×#386C23semidirect
359. C2×#386C23semidirect
360. C2×#386C23semidirect
361. C2×#386C23semidirect
362. C2×#386C23semidirect
363. C2×#386C23semidirect
364. C2×#385C23semidirect
365. C2×#385C23semidirect
366. C2×#385C23semidirect
367. C2×#385C23semidirect
368. C2×#385C23semidirect
369. C2×#385C23semidirect
370. C2×#385C23semidirect
371. C2×#385C23semidirect
372. C2×#385C23semidirect
373. C2×#385C23semidirect
374. #2280C23semidirect
375. C2×#381C23semidirect
376. C2×#381C23semidirect
377. C2×#381C23semidirect
378. C2×#381C23semidirect
379. C2×#381C23semidirect
380. C2×#380C23semidirect
381. C2×#380C23semidirect
382. C2×#380C23semidirect
383. C2×#380C23semidirect
384. C2×#380C23semidirect
396. C2×#379C23semidirect
397. C2×C4×C22⋊C4C23semidirect
398. C2×C4×C22⋊C4C23semidirect
399. C2×C4×C22⋊C4C23semidirect
400. C2×C4×C22⋊C4C23semidirect
401. C2×C4×C22⋊C4C23semidirect
402. C22×#95C23semidirect
403. C22×#95C23semidirect
404. C22×#95C23semidirect
405. C22×#95C23semidirect
406. C22×#95C23semidirect
407. C22×#95C23semidirect
408. C22×#95C23semidirect
409. C22×#95C23semidirect
410. C22×#95C23semidirect
411. C22×#95C23semidirect
412. C22×#95C23semidirect
413. C22×#95C23semidirect
414. C22×#95C23semidirect
415. C22×#95C23semidirect
469. C23×Q8C24semidirect
556. C24×C4C24semidirect
560. C2×#126C24semidirect
561. C2×#126C24semidirect
563. C2×#124C24semidirect
568. C2×#123C24semidirect
569. C2×#123C24semidirect
570. C2×#123C24semidirect
571. C2×#123C24semidirect
575. C2×C22⋊Q8C24semidirect
576. C2×C22⋊Q8C24semidirect
577. C2×C22⋊Q8C24semidirect
591. C2×C4×D4C24semidirect
592. C2×C4×D4C24semidirect
593. C2×C4×D4C24semidirect
597. C2×#117C24semidirect
598. C2×#117C24semidirect
599. C2×#117C24semidirect
614. C22×C4⋊C4C24semidirect
615. C22×C4⋊C4C24semidirect
616. C22×C4⋊C4C24semidirect
617. C22×C4⋊C4C24semidirect
618. C22×C4⋊C4C24semidirect
619. C22×C4⋊C4C24semidirect
620. C22×C4⋊C4C24semidirect
621. C22×C4⋊C4C24semidirect
622. C22×C4⋊C4C24semidirect
623. C22×C4⋊C4C24semidirect
624. C22×C4⋊C4C24semidirect
625. C22×C4⋊C4C24semidirect
626. C22×C4⋊C4C24semidirect
627. C22×C4⋊C4C24semidirect
683. C22×C22⋊C4C2×D4semidirect
734. C22×C22⋊C4C24semidirect
735. C22×C22⋊C4C24semidirect
736. C22×C22⋊C4C24semidirect
737. C22×C22⋊C4C24semidirect
738. C22×C22⋊C4C24semidirect
744. C22×C42C24semidirect
745. C22×C42C24semidirect
746. C22×C42C24semidirect
747. C22×C42C24semidirect
748. C22×C42C24semidirect
749. #399C24semidirect
750. #397C24semidirect
751. #397C24semidirect
752. #397C24semidirect
753. #397C24semidirect
754. #397C24semidirect
755. #396C24semidirect
756. #396C24semidirect
757. #394C24semidirect
758. #394C24semidirect
759. #394C24semidirect
760. #393C24semidirect
761. #390C24semidirect
762. #388C24semidirect
763. #388C24semidirect
764. #388C24semidirect
765. #388C24semidirect
766. #388C24semidirect
767. #388C24semidirect
768. #388C24semidirect
769. #388C24semidirect
770. #386C24semidirect
771. #386C24semidirect
772. #386C24semidirect
773. #386C24semidirect
774. #386C24semidirect
775. #386C24semidirect
776. #385C24semidirect
777. #385C24semidirect
778. #385C24semidirect
779. #385C24semidirect
780. #385C24semidirect
781. #385C24semidirect
782. #385C24semidirect
783. #385C24semidirect
784. #385C24semidirect
785. #385C24semidirect
786. #381C24semidirect
787. #381C24semidirect
788. #381C24semidirect
789. #381C24semidirect
790. #381C24semidirect
791. #380C24semidirect
792. #380C24semidirect
793. #380C24semidirect
794. #380C24semidirect
795. #380C24semidirect
807. C4×C22⋊C4C24semidirect
808. C4×C22⋊C4C24semidirect
809. C4×C22⋊C4C24semidirect
810. C4×C22⋊C4C24semidirect
811. C4×C22⋊C4C24semidirect
812. C2×#95C24semidirect
813. C2×#95C24semidirect
814. C2×#95C24semidirect
815. C2×#95C24semidirect
816. C2×#95C24semidirect
817. C2×#95C24semidirect
818. C2×#95C24semidirect
819. C2×#95C24semidirect
820. C2×#95C24semidirect
821. C2×#95C24semidirect
822. C2×#95C24semidirect
823. C2×#95C24semidirect
824. C2×#95C24semidirect
825. C2×#95C24semidirect
944. C22×Q8C25semidirect
1089. C23×C4C25semidirect
1125. C2×C4⋊C4C25semidirect
1126. C2×C4⋊C4C25semidirect
1127. C2×C4⋊C4C25semidirect
1128. C2×C4⋊C4C25semidirect
1129. C2×C4⋊C4C25semidirect
1130. C2×C4⋊C4C25semidirect
1131. C2×C4⋊C4C25semidirect
1132. C2×C4⋊C4C25semidirect
1133. C2×C4⋊C4C25semidirect
1134. C2×C4⋊C4C25semidirect
1135. C2×C4⋊C4C25semidirect
1136. C2×C4⋊C4C25semidirect
1137. C2×C4⋊C4C25semidirect
1138. C2×C4⋊C4C25semidirect
1193. C2×C22⋊C4C22×D4semidirect
1232. C2×C22⋊C4C25semidirect
1233. C2×C22⋊C4C25semidirect
1234. C2×C22⋊C4C25semidirect
1235. C2×C22⋊C4C25semidirect
1236. C2×C22⋊C4C25semidirect
1242. C2×C42C25semidirect
1243. C2×C42C25semidirect
1244. C2×C42C25semidirect
1245. C2×C42C25semidirect
1246. C2×C42C25semidirect
1247. #95C25semidirect
1248. #95C25semidirect
1249. #95C25semidirect
1250. #95C25semidirect
1251. #95C25semidirect
1252. #95C25semidirect
1253. #95C25semidirect
1254. #95C25semidirect
1255. #95C25semidirect
1256. #95C25semidirect
1257. #95C25semidirect
1258. #95C25semidirect
1259. #95C25semidirect
1260. #95C25semidirect
1384. C24#551semidirect
1716. C23C2×#551semidirect
1855. C22#36158direct (N × H)
1861. C22C22×#551semidirect
1892. C2C2×#36158direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5512
C25×C22⋊C42
C22×#28492
C22×#28482
C22×#28462
C2×#361582
C22×#25612
C22×#25342
C22×#24822
C22×#24832
C22×#24112
C22×#24802
C22×#24722
C22×#24122
C22×#24182
C22×#24372
C22×#23582
C22×#23422
C22×C4×#1202
C22×#22802
C23×#3792