Finite Group Databasebeta

← C22×#38026 #72300981

Subgroups — C22×#38026 #72300981

Order 1024.

115469 conjugacy classes of subgroups.

The subgroup lattice has 1962 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D42C211yesmaximal, characteristic, complemented
2C23×#529C211yesmaximal, characteristic, complemented
3C2×#38026C2196yesmaximal, direct product factor
4C22×#2711C212yesmaximal, complemented
5C22×#2670C212yesmaximal, complemented
6C22×#2714C212yesmaximal, complemented
7C22×#2685C212yesmaximal, complemented
8C22×#2854C211yesmaximal, characteristic, complemented
9C22×#2548C211yesmaximal, characteristic, complemented
10C22×#2580C211yesmaximal, characteristic, complemented
11C22×#2539C212yesmaximal, complemented
12C22×#2414C211yesmaximal, characteristic, complemented
13C22×#2416C211yesmaximal, characteristic, complemented
14C22×#2408C211yesmaximal, characteristic, complemented
15C22×#2408C211yesmaximal, characteristic, complemented
16C22×#2472C212yesmaximal, complemented
17C22×#2405C212yesmaximal, complemented
18C22×#2410C212yesmaximal, complemented
19C22×#2624C211yesmaximal, characteristic, complemented
20C22×#2619C211yesmaximal, characteristic, complemented
21C22×#2352C211yesmaximal, characteristic, complemented
22C22×#2324C211yesmaximal, characteristic, complemented
23C22×#2309C211yesmaximal, characteristic, complemented
24C23×#390C211yesmaximal, characteristic, complemented
25C25×D4C2211yescharacteristic
26C25×D4C2211yescharacteristic
27C25×D4C2212yes—
28C22×D42—232no—
29C22×D42C22148yescomplemented
30C23×#127C2211yescharacteristic
31C22×#529—232no—
32C22×#529C22148yescomplemented
33C23×#126C2211yescharacteristic, complemented
34C23×#126C2211yescharacteristic, complemented
35C23×#125C2211yescharacteristic, complemented
36C23×#124C2211yescharacteristic, complemented
37C23×#124C2212yescomplemented
38C23×#123C2211yescharacteristic
39C23×#123C2211yescharacteristic, complemented
40C23×#123C2212yescomplemented
41C23×C22⋊Q8C2211yescharacteristic, complemented
42C23×#121C2211yescharacteristic
43C23×#121C2212yes—
44C23×#121C2211yescharacteristic
45C23×#121C2211yescharacteristic
46C23×#121C2211yescharacteristic
47C23×#121C2212yescomplemented
48C23×#121C2211yescharacteristic, complemented
49C23×#121C2211yescharacteristic, complemented
50C23×#120C2212yes—
51C23×#120C2212yes—
52C23×#120C2212yescomplemented
53C23×#120C2212yescomplemented
54C23×C4×Q8C2211yescharacteristic, complemented
55C23×C4×D4C2211yescharacteristic
56C23×C4×D4C2211yescharacteristic
57C23×C4×D4C2211yescharacteristic, complemented
58C23×C4×D4C2211yescharacteristic, complemented
59C23×#117C2211yescharacteristic, complemented
60C23×#117C2211yescharacteristic, complemented
61C23×#117C2211yescharacteristic, complemented
62C24×C4⋊C4C2211yescharacteristic, complemented
63C24×C22⋊C4C2212yescomplemented
64C24×C22⋊C4C2212yescomplemented
65C24×C42C2211yescharacteristic, complemented
66C2×#2714C22196yescomplemented
67C2×#2711C22196yescomplemented
68C2×#2685C22196yescomplemented
69C2×#2670C22196yescomplemented
70#38026C2211024yesdirect product factor
71C2×#2854C22148yescomplemented
72C2×#2548C22148yescomplemented
73C2×#2580C22148yescomplemented
74C2×#2539C22196yescomplemented
75C2×#2414C22148yescomplemented
76C2×#2416C22148yescomplemented
77C2×#2408C22148yescomplemented
78C2×#2408C22148yescomplemented
79C2×#2472C22196yescomplemented
80C2×#2405C22196yescomplemented
81C2×#2410C22196yescomplemented
82C2×#2624C22148yescomplemented
83C2×#2619C22148yescomplemented
84C22×#399C2212yescomplemented
85C22×#399C2212yescomplemented
86C22×#397C2212yescomplemented
87C22×#396C2212yescomplemented
88C22×#394C2212yescomplemented
89C22×#394C2212yescomplemented
90C22×#394C2212yescomplemented
91C22×#394C2212yescomplemented
92C22×#394C2212yescomplemented
93C22×#394C2212yescomplemented
94C22×#394C2212yescomplemented
95C22×#394C2212yescomplemented
96C22×#394C2212yescomplemented
97C22×#394C2212yescomplemented
98C22×#393C2212yescomplemented
99C22×#392C2212yescomplemented
100C22×#392C2212yescomplemented
101C22×#392C2212yescomplemented
102C22×#392C2212yescomplemented
103C22×#392C2212yescomplemented
104C2×#2352C22148yescomplemented
105C2×#2324C22148yescomplemented
106C2×#2309C22148yescomplemented
107C22×#390C2211yescharacteristic
108C22×#390C2211yescharacteristic
109C22×#390C2211yescharacteristic
110C22×#390C2212yescomplemented
111C22×#390C2212yescomplemented
112C22×#390C2212yescomplemented
113C22×#390C2211yescharacteristic, complemented
114C22×#390C2211yescharacteristic, complemented
115C22×#390C2212yescomplemented
116C22×#390C2212yescomplemented
117C22×#390C2212yescomplemented
118C22×#390C2211yescharacteristic, complemented
119C22×#390C2212yescomplemented
120C22×#390C2211yescharacteristic, complemented
121C22×#390C2211yescharacteristic, complemented
122C22×#390C2211yescharacteristic, complemented
123C22×#390C22148yescomplemented
124C22×#389C2211yescharacteristic, complemented
125C22×#389C2211yescharacteristic, complemented
126C22×#389C2211yescharacteristic, complemented
127C22×#388C2212yescomplemented
128C22×#388C2212yescomplemented
129C22×#388C2212yescomplemented
130C22×#388C2212yescomplemented
131C22×#388C2212yescomplemented
132C22×#387C2212yescomplemented
133C22×#386C2212yes—
134C22×#386C2212yescomplemented
135C22×#386C2212yescomplemented
136C22×#386C2212yescomplemented
137C22×#385C2212yescomplemented
138C22×#385C2212yescomplemented
139C22×#385C2212yescomplemented
140C22×#382C2211yescharacteristic, complemented
141C22×#380C2211yescharacteristic, complemented
142C22×#380C2211yescharacteristic, complemented
143C22×#380C2211yescharacteristic, complemented
144C22×#379C2212yescomplemented
145C22×#379C2212yescomplemented
146C22×#379C2212yescomplemented
147C22×#379C2212yescomplemented
148C22×C4×C4⋊C4C2211yescharacteristic, complemented
149C22×C4×C22⋊C4C2212yescomplemented
150C27C2312yes—
151C27C2312yes—
152C24×Q8C2311yescharacteristic
153C24×D4—232no—
154C24×D4—216no—
155C24×D4—216no—
156C24×D4—216no—
157C24×D4—216no—
158C24×D4—48no—
159C24×D4—48no—
160C24×D4—416no—
161C24×D4—416no—
162C24×D4C2312yes—
163C24×D4C2311yescharacteristic
164C24×D4C2311yescharacteristic
165C24×D4C2311yescharacteristic
166C24×D4C23124yes—
167C24×D4C23124yes—
168C24×D4C2312yes—
169C24×D4C2312yes—
170C24×D4C2311yescharacteristic
171C24×D4C2311yescharacteristic
172C24×D4C2311yescharacteristic
173C24×D4C23148yes—
174C24×D4C2312yes—
175C24×D4C2312yes—
176C24×D4C2312yes—
177C24×D4C2312yes—
178C24×D4C2312yes—
179C24×D4C2312yes—
180C25×C4C2311yescharacteristic
181C25×C4C2311yescharacteristic
182C25×C4C2311yescharacteristic
183C25×C4C2311yescharacteristic
184C25×C4C2311yescharacteristic
185C25×C4C2312yes—
186C25×C4C2312yes—
187C2×D42—2768no—
188C2×D42C231256yescomplemented
189C22×#127—216no—
190C22×#127C23124yes—
191C2×#529—2768no—
192C2×#529C231256yescomplemented
193C22×#126—216no—
194C22×#126—216no—
195C22×#126C23124yescomplemented
196C22×#126C23124yescomplemented
197C22×#125—216no—
198C22×#125C23124yescomplemented
199C22×#124—216no—
200C22×#124—416no—
201C22×#124C23124yescomplemented
202C22×#124C23148yescomplemented
203C22×#123—216no—
204C22×#123—216no—
205C22×#123—416no—
206C22×#123C23124yes—
207C22×#123C23124yescomplemented
208C22×#123C23148yescomplemented
209C22×C22⋊Q8—216no—
210C22×C22⋊Q8C23124yescomplemented
211C22×#121—216no—
212C22×#121—216no—
213C22×#121—216no—
214C22×#121—216no—
215C22×#121—232no—
216C22×#121—48no—
217C22×#121—48no—
218C22×#121—416no—
219C22×#121C23124yes—
220C22×#121C23124yes—
221C22×#121C23124yes—
222C22×#121C23124yes—
223C22×#121C23148yes—
224C22×#121C23148yescomplemented
225C22×#121C23124yescomplemented
226C22×#121C23124yescomplemented
227C22×#120—232no—
228C22×#120—232no—
229C22×#120—416no—
230C22×#120—416no—
231C22×#120C23148yes—
232C22×#120C23148yes—
233C22×#120C23148yescomplemented
234C22×#120C23148yescomplemented
235C22×C4×Q8—216no—
236C22×C4×Q8C23124yescomplemented
237C22×C4×D4—216no—
238C22×C4×D4—216no—
239C22×C4×D4—216no—
240C22×C4×D4D4132yescomplemented
241C22×C4×D4C23124yes—
242C22×C4×D4C23124yes—
243C22×C4×D4C23124yescomplemented
244C22×C4×D4C23124yescomplemented
245C22×#117—216no—
246C22×#117—216no—
247C22×#117—48no—
248C22×#117C23124yescomplemented
249C22×#117C23124yescomplemented
250C22×#117C23124yescomplemented
251C23×C4⋊C4—48no—
252C23×C4⋊C4C2311yescharacteristic
253C23×C4⋊C4C2311yescharacteristic
254C23×C4⋊C4C2311yescharacteristic
255C23×C4⋊C4C2311yescharacteristic
256C23×C4⋊C4C2311yescharacteristic
257C23×C4⋊C4C2311yescharacteristic
258C23×C4⋊C4C2311yescharacteristic
259C23×C4⋊C4C2311yescharacteristic
260C23×C4⋊C4C2311yescharacteristic
261C23×C4⋊C4C2311yescharacteristic
262C23×C4⋊C4C2311yescharacteristic
263C23×C4⋊C4C2311yescharacteristic
264C23×C4⋊C4C2311yescharacteristic
265C23×C4⋊C4C2311yescharacteristic
266C23×C4⋊C4C2312yes—
267C23×C4⋊C4C2312yes—
268C23×C4⋊C4C2312yes—
269C23×C4⋊C4C2312yes—
270C23×C4⋊C4C2311yescharacteristic
271C23×C4⋊C4C23124yescomplemented
272C23×C22⋊C4—416no—
273C23×C22⋊C4—416no—
274C23×C22⋊C4C2312yes—
275C23×C22⋊C4C2312yes—
276C23×C22⋊C4C2311yescharacteristic
277C23×C22⋊C4C2311yescharacteristic
278C23×C22⋊C4C2311yescharacteristic
279C23×C22⋊C4C2311yescharacteristic
280C23×C22⋊C4C2312yes—
281C23×C22⋊C4C2311yescharacteristic
282C23×C22⋊C4C2311yescharacteristic
283C23×C22⋊C4C2311yescharacteristic
284C23×C22⋊C4C2311yescharacteristic
285C23×C22⋊C4C2312yes—
286C23×C22⋊C4C2312yes—
287C23×C22⋊C4C2312yes—
288C23×C22⋊C4C2312yes—
289C23×C22⋊C4C2312yes—
290C23×C22⋊C4C2312yes—
291C23×C22⋊C4C2312yes—
292C23×C22⋊C4C2312yes—
293C23×C22⋊C4C2312yes—
294C23×C22⋊C4C2312yes—
295C23×C22⋊C4C2312yes—
296C23×C22⋊C4C2312yes—
297C23×C22⋊C4C2312yes—
298C23×C22⋊C4C2312yes—
299C23×C22⋊C4C2312yes—
300C23×C22⋊C4C2312yes—
301C23×C22⋊C4C2312yes—
302C23×C22⋊C4C2312yes—
303C23×C22⋊C4C2312yes—
304C23×C22⋊C4C2312yes—
305C23×C22⋊C4C2312yes—
306C23×C22⋊C4C2312yes—
307C23×C22⋊C4C2312yes—
308C23×C22⋊C4C2312yes—
309C23×C22⋊C4C2312yes—
310C23×C22⋊C4C2311yescharacteristic
311C23×C22⋊C4C2311yescharacteristic
312C23×C22⋊C4C23148yescomplemented
313C23×C22⋊C4C23148yescomplemented
314C23×C42—216no—
315C23×C42C2311yescharacteristic
316C23×C42C2311yescharacteristic
317C23×C42C2311yescharacteristic
318C23×C42C2311yescharacteristic
319C23×C42C2311yescharacteristic
320C23×C42C2312yes—
321C23×C42C2312yes—
322C23×C42C2311yescharacteristic
323C23×C42C23124yescomplemented
324#2854C231256yescomplemented
325#2714C231512yescomplemented
326#2711C231512yescomplemented
327#2685C231512yescomplemented
328#2670C231512yescomplemented
329#2624C231256yescomplemented
330#2619C231256yescomplemented
331#2580C231256yescomplemented
332#2548C231256yescomplemented
333#2539C231512yescomplemented
334#2472C231512yescomplemented
335#2416C231256yescomplemented
336#2414C231256yescomplemented
337#2410C231512yescomplemented
338#2408C231256yescomplemented
339#2408C231256yescomplemented
340#2405C231512yescomplemented
341C2×#399C23148yescomplemented
342C2×#399C23148yescomplemented
343C2×#397C23148yescomplemented
344C2×#396C23148yescomplemented
345C2×#394C23148yescomplemented
346C2×#394C23148yescomplemented
347C2×#394C23148yescomplemented
348C2×#394C23148yescomplemented
349C2×#394C23148yescomplemented
350C2×#394C23148yescomplemented
351C2×#394C23148yescomplemented
352C2×#394C23148yescomplemented
353C2×#394C23148yescomplemented
354C2×#394C23148yescomplemented
355C2×#393C23148yescomplemented
356C2×#392C23148yescomplemented
357C2×#392C23148yescomplemented
358C2×#392C23148yescomplemented
359C2×#392C23148yescomplemented
360C2×#392C23148yescomplemented
361#2352C231256yescomplemented
362#2324C231256yescomplemented
363#2309C231256yescomplemented
364C2×#390C23124yes—
365C2×#390C23124yes—
366C2×#390C23124yes—
367C2×#390C23148yescomplemented
368C2×#390C23148yescomplemented
369C2×#390C23148yescomplemented
370C2×#390C23148yescomplemented
371C2×#390C23124yescomplemented
372C2×#390C23124yescomplemented
373C2×#390C23124yescomplemented
374C2×#390C23124yescomplemented
375C2×#390C23148yescomplemented
376C2×#390C23124yescomplemented
377C2×#390C23124yescomplemented
378C2×#390C23148yescomplemented
379C2×#390C23148yescomplemented
380C2×#390C231256yescomplemented
381C2×#389C23124yescomplemented
382C2×#389C23124yescomplemented
383C2×#389C23124yescomplemented
384C2×#388C23148yescomplemented
385C2×#388C23148yescomplemented
386C2×#388C23148yescomplemented
387C2×#388C23148yescomplemented
388C2×#388C23148yescomplemented
389C2×#387C23148yescomplemented
390C2×#386C23148yes—
391C2×#386C23148yescomplemented
392C2×#386C23148yescomplemented
393C2×#386C23148yescomplemented
394C2×#385C23148yescomplemented
395C2×#385C23148yescomplemented
396C2×#385C23148yescomplemented
397C2×#382C23124yescomplemented
398C2×#380C23124yescomplemented
399C2×#380C23124yescomplemented
400C2×#380C23124yescomplemented
401C2×#379C23148yescomplemented
402C2×#379C23148yescomplemented
403C2×#379C23148yescomplemented
404C2×#379C23148yescomplemented
405C2×C4×C4⋊C4C23124yescomplemented
406C2×C4×C22⋊C4C23148yescomplemented
407C22×#95C2312yes—
408C22×#95C2312yes—
409C22×#95C2312yes—
410C22×#95C2312yes—
411C22×#95C2312yes—
412C22×#95C2312yes—
413C22×#95C2312yes—
414C22×#95C2312yes—
415C22×#95C2312yes—
416C26—216no—
417C26—216no—
418C26—216no—
419C26—216no—
420C26—216no—
421C26—216no—
422C26—48no—
423C26—48no—
424C26—48no—
425C26—48no—
426C26—48no—
427C26—48no—
428C26—48no—
429C26—48no—
430C26C2411yescharacteristic
431C26C2412yes—
432C26C2412yes—
433C26C2411yescharacteristic
434C26C2412yes—
435C26C24124yes—
436C26C2411yescharacteristic
437C26C24124yes—
438C23×Q8—28no—
439C23×Q8—28no—
440C23×Q8—44no—
441C23×Q8C24112yes—
442C23×D4—28no—
443C23×D4—28no—
444C23×D4—216no—
445C23×D4—216no—
446C23×D4—28no—
447C23×D4—28no—
448C23×D4—216no—
449C23×D4—216no—
450C23×D4—216no—
451C23×D4—216no—
452C23×D4—28no—
453C23×D4—28no—
454C23×D4—216no—
455C23×D4—2384no—
456C23×D4—2192no—
457C23×D4—2192no—
458C23×D4—28no—
459C23×D4—216no—
460C23×D4—216no—
461C23×D4—216no—
462C23×D4—28no—
463C23×D4—28no—
464C23×D4—2192no—
465C23×D4—2192no—
466C23×D4—216no—
467C23×D4—28no—
468C23×D4—28no—
469C23×D4—28no—
470C23×D4—28no—
471C23×D4—28no—
472C23×D4—28no—
473C23×D4—496no—
474C23×D4—496no—
475C23×D4—4256no—
476C23×D4—4256no—
477C23×D4—48no—
478C23×D4—48no—
479C23×D4—48no—
480C23×D4—48no—
481C23×D4—48no—
482C23×D4—48no—
483C23×D4—44no—
484C23×D4—48no—
485C23×D4—48no—
486C23×D4—48no—
487C23×D4—48no—
488C23×D4—48no—
489C23×D4—48no—
490C23×D4—48no—
491C23×D4—48no—
492C23×D4—48no—
493C23×D4—48no—
494C23×D4—4192no—
495C23×D4—4192no—
496C23×D4—4512no—
497C23×D4C2×D4116yes—
498C23×D4#41116yes—
499C23×D4C24124yes—
500C23×D4C24112yes—
501C23×D4C24112yes—
502C23×D4C24112yes—
503C23×D4C24164yes—
504C23×D4C24124yes—
505C23×D4C24124yes—
506C23×D4C24164yes—
507C23×D4C24112yes—
508C23×D4C24112yes—
509C23×D4C24112yes—
510C23×D4C24124yes—
511C23×D4C24124yes—
512C23×D4C241128yes—
513C23×D4C24124yes—
514C23×D4C24124yes—
515C23×D4C24124yes—
516C23×D4C24124yes—
517C24×C4—28no—
518C24×C4—28no—
519C24×C4—28no—
520C24×C4—28no—
521C24×C4—28no—
522C24×C4—28no—
523C24×C4—28no—
524C24×C4—28no—
525C24×C4—216no—
526C24×C4—216no—
527C24×C4—28no—
528C24×C4—28no—
529C24×C4—28no—
530C24×C4—28no—
531C24×C4—44no—
532C24×C4—48no—
533C24×C4—48no—
534C24×C4—48no—
535C24×C4—48no—
536C24×C4C2×D4116yes—
537C24×C4C2×D4116yes—
538C24×C4C24112yes—
539C24×C4C24112yes—
540C24×C4C2412yes—
541C24×C4C2412yes—
542C24×C4C2411yescharacteristic
543C24×C4C2411yescharacteristic
544C24×C4C2411yescharacteristic
545C24×C4C2412yes—
546C24×C4C2411yescharacteristic
547C24×C4C2411yescharacteristic
548C24×C4C2412yes—
549C24×C4C2412yes—
550C24×C4C2411yescharacteristic
551C24×C4C24112yes—
552C24×C4C24112yes—
553C24×C4C24112yes—
554C24×C4C2411yescharacteristic
555C24×C4C2411yescharacteristic
556C24×C4C2411yescharacteristic
557C24×C4C2411yescharacteristic
558C24×C4C2411yescharacteristic
559C24×C4C24124yes—
560C24×C4C24124yes—
561C24×C4C2411yescharacteristic
562D42—22048no—
563C2×#127—2192no—
564C2×#127C24164yes—
565#529—22048no—
566C2×#126—2192no—
567C2×#126—2192no—
568C2×#126C24164yescomplemented
569C2×#126C24164yescomplemented
570C2×#125—2192no—
571C2×#125C24164yescomplemented
572C2×#124—2192no—
573C2×#124—4192no—
574C2×#124C24164yescomplemented
575C2×#124C241128yescomplemented
576C2×#123—2192no—
577C2×#123—2192no—
578C2×#123—4192no—
579C2×#123C24164yes—
580C2×#123C24164yescomplemented
581C2×#123C241128yescomplemented
582C2×C22⋊Q8—2192no—
583C2×C22⋊Q8C24164yescomplemented
584C2×#121—2192no—
585C2×#121—2192no—
586C2×#121—2192no—
587C2×#121—2192no—
588C2×#121—2384no—
589C2×#121—496no—
590C2×#121—496no—
591C2×#121—4192no—
592C2×#121C24164yes—
593C2×#121C24164yes—
594C2×#121C24164yes—
595C2×#121C24164yes—
596C2×#121C241128yes—
597C2×#121C24164yescomplemented
598C2×#121C24164yescomplemented
599C2×#121C241128yescomplemented
600C2×#120—2384no—
601C2×#120—2384no—
602C2×#120—4192no—
603C2×#120—4192no—
604C2×#120C241128yes—
605C2×#120C241128yes—
606C2×#120C241128yescomplemented
607C2×#120C241128yescomplemented
608C2×C4×Q8—2192no—
609C2×C4×Q8C24164yescomplemented
610C2×C4×D4—2192no—
611C2×C4×D4—2192no—
612C2×C4×D4—2192no—
613C2×C4×D4C2×D41384yescomplemented
614C2×C4×D4C24164yes—
615C2×C4×D4C24164yes—
616C2×C4×D4C24164yescomplemented
617C2×C4×D4C24164yescomplemented
618C2×#117—2192no—
619C2×#117—2192no—
620C2×#117—496no—
621C2×#117C24164yescomplemented
622C2×#117C24164yescomplemented
623C2×#117C24164yescomplemented
624C22×C4⋊C4—28no—
625C22×C4⋊C4—28no—
626C22×C4⋊C4—28no—
627C22×C4⋊C4—28no—
628C22×C4⋊C4—28no—
629C22×C4⋊C4—28no—
630C22×C4⋊C4—28no—
631C22×C4⋊C4—28no—
632C22×C4⋊C4—28no—
633C22×C4⋊C4—28no—
634C22×C4⋊C4—28no—
635C22×C4⋊C4—28no—
636C22×C4⋊C4—28no—
637C22×C4⋊C4—28no—
638C22×C4⋊C4—496no—
639C22×C4⋊C4—48no—
640C22×C4⋊C4—48no—
641C22×C4⋊C4—48no—
642C22×C4⋊C4—48no—
643C22×C4⋊C4C2×D4116yes—
644C22×C4⋊C4C24112yes—
645C22×C4⋊C4C24112yes—
646C22×C4⋊C4C24112yes—
647C22×C4⋊C4C24112yes—
648C22×C4⋊C4C24112yes—
649C22×C4⋊C4C24112yes—
650C22×C4⋊C4C24112yes—
651C22×C4⋊C4C24112yes—
652C22×C4⋊C4C24112yes—
653C22×C4⋊C4C24112yes—
654C22×C4⋊C4C24112yes—
655C22×C4⋊C4C24112yes—
656C22×C4⋊C4C24112yes—
657C22×C4⋊C4C24112yes—
658C22×C4⋊C4C24124yes—
659C22×C4⋊C4C24124yes—
660C22×C4⋊C4C24124yes—
661C22×C4⋊C4C24124yes—
662C22×C4⋊C4C24112yes—
663C22×C4⋊C4C24164yescomplemented
664C22×C22⋊C4—28no—
665C22×C22⋊C4—28no—
666C22×C22⋊C4—28no—
667C22×C22⋊C4—28no—
668C22×C22⋊C4—216no—
669C22×C22⋊C4—216no—
670C22×C22⋊C4—28no—
671C22×C22⋊C4—28no—
672C22×C22⋊C4—216no—
673C22×C22⋊C4—28no—
674C22×C22⋊C4—28no—
675C22×C22⋊C4—216no—
676C22×C22⋊C4—216no—
677C22×C22⋊C4—216no—
678C22×C22⋊C4—216no—
679C22×C22⋊C4—216no—
680C22×C22⋊C4—4192no—
681C22×C22⋊C4—48no—
682C22×C22⋊C4—48no—
683C22×C22⋊C4—48no—
684C22×C22⋊C4—48no—
685C22×C22⋊C4—48no—
686C22×C22⋊C4—48no—
687C22×C22⋊C4—4192no—
688C22×C22⋊C4—48no—
689C22×C22⋊C4—48no—
690C22×C22⋊C4—48no—
691C22×C22⋊C4—48no—
692C22×C22⋊C4—48no—
693C22×C22⋊C4—48no—
694C22×C22⋊C4—48no—
695C22×C22⋊C4—48no—
696C22×C22⋊C4—48no—
697C22×C22⋊C4—48no—
698C22×C22⋊C4—48no—
699C22×C22⋊C4—48no—
700C22×C22⋊C4—48no—
701C22×C22⋊C4—48no—
702C22×C22⋊C4C2×D4116yes—
703C22×C22⋊C4C2×D4116yes—
704C22×C22⋊C4C24112yes—
705C22×C22⋊C4C24112yes—
706C22×C22⋊C4C24112yes—
707C22×C22⋊C4C24112yes—
708C22×C22⋊C4C24124yes—
709C22×C22⋊C4C24124yes—
710C22×C22⋊C4C24124yes—
711C22×C22⋊C4C24112yes—
712C22×C22⋊C4C24112yes—
713C22×C22⋊C4C24112yes—
714C22×C22⋊C4C24124yes—
715C22×C22⋊C4C24124yes—
716C22×C22⋊C4C24124yes—
717C22×C22⋊C4C24124yes—
718C22×C22⋊C4C24112yes—
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⋊C4C24124yes—
728C22×C22⋊C4C24124yes—
729C22×C22⋊C4C24124yes—
730C22×C22⋊C4C24124yes—
731C22×C22⋊C4C24124yes—
732C22×C22⋊C4C24124yes—
733C22×C22⋊C4C24124yes—
734C22×C22⋊C4C24124yes—
735C22×C22⋊C4C24124yes—
736C22×C22⋊C4C24124yes—
737C22×C22⋊C4C24124yes—
738C22×C22⋊C4C24124yes—
739C22×C22⋊C4C24124yes—
740C22×C22⋊C4C24112yes—
741C22×C22⋊C4C24112yes—
742C22×C22⋊C4C241128yescomplemented
743C22×C22⋊C4C241128yescomplemented
744C22×C42—28no—
745C22×C42—28no—
746C22×C42—28no—
747C22×C42—28no—
748C22×C42—2192no—
749C22×C42—28no—
750C22×C42—48no—
751C22×C42—48no—
752C22×C42C2×D4116yes—
753C22×C42C24112yes—
754C22×C42C24112yes—
755C22×C42C24112yes—
756C22×C42C24112yes—
757C22×C42C24112yes—
758C22×C42C24124yes—
759C22×C42C24124yes—
760C22×C42C24112yes—
761C22×C42C24164yescomplemented
762#399C241128yescomplemented
763#399C241128yescomplemented
764#397C241128yescomplemented
765#396C241128yescomplemented
766#394C241128yescomplemented
767#394C241128yescomplemented
768#394C241128yescomplemented
769#394C241128yescomplemented
770#394C241128yescomplemented
771#394C241128yescomplemented
772#394C241128yescomplemented
773#394C241128yescomplemented
774#394C241128yescomplemented
775#394C241128yescomplemented
776#393C241128yescomplemented
777#392C241128yescomplemented
778#392C241128yescomplemented
779#392C241128yescomplemented
780#392C241128yescomplemented
781#392C241128yescomplemented
782#390C24164yes—
783#390C24164yes—
784#390C24164yes—
785#390C24164yescomplemented
786#390C24164yescomplemented
787#390C241128yescomplemented
788#390C241128yescomplemented
789#390C241128yescomplemented
790#390C24164yescomplemented
791#390C24164yescomplemented
792#390C24164yescomplemented
793#390C241128yescomplemented
794#390C24164yescomplemented
795#390C241128yescomplemented
796#390C241128yescomplemented
797#390C241128yescomplemented
798#389C24164yescomplemented
799#389C24164yescomplemented
800#389C24164yescomplemented
801#388C241128yescomplemented
802#388C241128yescomplemented
803#388C241128yescomplemented
804#388C241128yescomplemented
805#388C241128yescomplemented
806#387C241128yescomplemented
807#386C241128yes—
808#386C241128yescomplemented
809#386C241128yescomplemented
810#386C241128yescomplemented
811#385C241128yescomplemented
812#385C241128yescomplemented
813#385C241128yescomplemented
814#382C24164yescomplemented
815#380C24164yescomplemented
816#380C24164yescomplemented
817#380C24164yescomplemented
818#379C241128yescomplemented
819#379C241128yescomplemented
820#379C241128yescomplemented
821#379C241128yescomplemented
822C4×C4⋊C4C24164yescomplemented
823C4×C22⋊C4C241128yescomplemented
824C2×#95C24124yes—
825C2×#95C24124yes—
826C2×#95C24124yes—
827C2×#95C24124yes—
828C2×#95C24124yes—
829C2×#95C24124yes—
830C2×#95C24124yes—
831C2×#95C24124yes—
832C2×#95C24124yes—
833C25—24no—
834C25—24no—
835C25—24no—
836C25—24no—
837C25—28no—
838C25—24no—
839C25—28no—
840C25—24no—
841C25—28no—
842C25—24no—
843C25—28no—
844C25—24no—
845C25—24no—
846C25—28no—
847C25—28no—
848C25—24no—
849C25—24no—
850C25—28no—
851C25—28no—
852C25—24no—
853C25—296no—
854C25—28no—
855C25—28no—
856C25—28no—
857C25—28no—
858C25—24no—
859C25—28no—
860C25—28no—
861C25—28no—
862C25—28no—
863C25—28no—
864C25—28no—
865C25—24no—
866C25—24no—
867C25—24no—
868C25—28no—
869C25—24no—
870C25—28no—
871C25—296no—
872C25—296no—
873C25—296no—
874C25—296no—
875C25—296no—
876C25—448no—
877C25—448no—
878C25—448no—
879C25—448no—
880C25—448no—
881C25—448no—
882C25—448no—
883C25—448no—
884C25—4128no—
885C25—4128no—
886C25—4128no—
887C25—4128no—
888C25—4128no—
889C25—4128no—
890C25—864no—
891C25—864no—
892C25—864no—
893C25—864no—
894C25—864no—
895C25—864no—
896C25—864no—
897C25—864no—
898C25C22×D418yes—
899C25C22×D418yes—
900C25C2×#41116yes—
901C25H(5,𝔽2)18yes—
902C25H(5,𝔽2)18yes—
903C25C25112yes—
904C25C25112yes—
905C25C2516yes—
906C25C2516yes—
907C25C25112yes—
908C25C25132yes—
909C25C2516yes—
910C25C25132yes—
911C25C2511yescharacteristic
912C22×Q8—248no—
913C22×Q8—248no—
914C22×Q8—424no—
915C22×Q8—464no—
916C22×Q8C25116yes—
917C22×D4—2128no—
918C22×D4—248no—
919C22×D4—248no—
920C22×D4—248no—
921C22×D4—248no—
922C22×D4—296no—
923C22×D4—296no—
924C22×D4—296no—
925C22×D4—296no—
926C22×D4—248no—
927C22×D4—248no—
928C22×D4—296no—
929C22×D4—296no—
930C22×D4—296no—
931C22×D4—2512no—
932C22×D4—2256no—
933C22×D4—2256no—
934C22×D4—2128no—
935C22×D4—248no—
936C22×D4—296no—
937C22×D4—296no—
938C22×D4—296no—
939C22×D4—248no—
940C22×D4—248no—
941C22×D4—2256no—
942C22×D4—2256no—
943C22×D4—296no—
944C22×D4—248no—
945C22×D4—248no—
946C22×D4—248no—
947C22×D4—248no—
948C22×D4—248no—
949C22×D4—248no—
950C22×D4—4128no—
951C22×D4—4128no—
952C22×D4—41536no—
953C22×D4—41536no—
954C22×D4—448no—
955C22×D4—448no—
956C22×D4—448no—
957C22×D4—448no—
958C22×D4—448no—
959C22×D4—448no—
960C22×D4—424no—
961C22×D4—464no—
962C22×D4—4128no—
963C22×D4—4128no—
964C22×D4—4128no—
965C22×D4—448no—
966C22×D4—448no—
967C22×D4—448no—
968C22×D4—448no—
969C22×D4—448no—
970C22×D4—448no—
971C22×D4—448no—
972C22×D4—448no—
973C22×D4—448no—
974C22×D4—448no—
975C22×D4—4256no—
976C22×D4—4256no—
977C22×D4—43072no—
978C22×D4—4128no—
979C22×D4—464no—
980C22×D4—4128no—
981C22×D4—464no—
982C22×D4—464no—
983C22×D4—864no—
984C22×D4—864no—
985C22×D4—864no—
986C22×D4—864no—
987C22×D4C22×D4196yes—
988C22×D4C2×#41196yes—
989C22×D4C25116yes—
990C22×D4C25132yes—
991C22×D4C25116yes—
992C22×D4C25116yes—
993C22×D4C25116yes—
994C22×D4C25132yes—
995C22×D4C25132yes—
996C22×D4C25116yes—
997C22×D4C25116yes—
998C22×D4C25132yes—
999C22×D4C25132yes—
1000C22×D4C25132yes—
1001C22×D4C25132yes—
1002C22×D4C25132yes—
1003C22×D4C25132yes—
1004C23×C4—24no—
1005C23×C4—24no—
1006C23×C4—24no—
1007C23×C4—24no—
1008C23×C4—24no—
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4—24no—
1012C23×C4—24no—
1013C23×C4—24no—
1014C23×C4—2128no—
1015C23×C4—2128no—
1016C23×C4—248no—
1017C23×C4—248no—
1018C23×C4—248no—
1019C23×C4—248no—
1020C23×C4—24no—
1021C23×C4—28no—
1022C23×C4—24no—
1023C23×C4—24no—
1024C23×C4—24no—
1025C23×C4—24no—
1026C23×C4—24no—
1027C23×C4—248no—
1028C23×C4—248no—
1029C23×C4—24no—
1030C23×C4—28no—
1031C23×C4—28no—
1032C23×C4—28no—
1033C23×C4—28no—
1034C23×C4—28no—
1035C23×C4—28no—
1036C23×C4—248no—
1037C23×C4—24no—
1038C23×C4—24no—
1039C23×C4—24no—
1040C23×C4—24no—
1041C23×C4—28no—
1042C23×C4—24no—
1043C23×C4—24no—
1044C23×C4—28no—
1045C23×C4—24no—
1046C23×C4—24no—
1047C23×C4—24no—
1048C23×C4—28no—
1049C23×C4—28no—
1050C23×C4—28no—
1051C23×C4—28no—
1052C23×C4—28no—
1053C23×C4—248no—
1054C23×C4—24no—
1055C23×C4—28no—
1056C23×C4—24no—
1057C23×C4—296no—
1058C23×C4—248no—
1059C23×C4—296no—
1060C23×C4—248no—
1061C23×C4—248no—
1062C23×C4—248no—
1063C23×C4—424no—
1064C23×C4—448no—
1065C23×C4—448no—
1066C23×C4—448no—
1067C23×C4—448no—
1068C23×C4—464no—
1069C23×C4—4128no—
1070C23×C4—464no—
1071C23×C4—464no—
1072C23×C4—864no—
1073C23×C4C22×D418yes—
1074C23×C4C22×D418yes—
1075C23×C4C22×D418yes—
1076C23×C4C22×D418yes—
1077C23×C4C22×D4196yes—
1078C23×C4C22×D4196yes—
1079C23×C4C22×D418yes—
1080C23×C4C2×#4118yes—
1081C23×C4H(5,𝔽2)18yes—
1082C23×C4H(5,𝔽2)18yes—
1083C23×C4C2516yes—
1084C23×C4C2516yes—
1085C23×C4C2516yes—
1086C23×C4C2516yes—
1087C23×C4C2516yes—
1088C23×C4C25112yes—
1089C23×C4C2516yes—
1090C23×C4C25112yes—
1091C23×C4C25112yes—
1092C23×C4C25112yes—
1093C23×C4C25112yes—
1094C23×C4C25116yes—
1095C23×C4C25116yes—
1096C23×C4C25116yes—
1097C23×C4C2516yes—
1098C23×C4C2516yes—
1099C23×C4C2516yes—
1100C23×C4C2516yes—
1101C23×C4C25116yes—
1102C23×C4C25116yes—
1103C23×C4C2516yes—
1104C23×C4C25132yes—
1105C23×C4C25132yes—
1106C23×C4C2516yes—
1107#127—2256no—
1108#126—2256no—
1109#126—2256no—
1110#125—2256no—
1111#124—2256no—
1112#124—4256no—
1113#123—2256no—
1114#123—2256no—
1115#123—4256no—
1116C22⋊Q8—2256no—
1117#121—2256no—
1118#121—2256no—
1119#121—2256no—
1120#121—2256no—
1121#121—2512no—
1122#121—4128no—
1123#121—4128no—
1124#121—4256no—
1125#120—2512no—
1126#120—2512no—
1127#120—4256no—
1128#120—4256no—
1129C4×Q8—2256no—
1130C4×D4—2256no—
1131C4×D4—2256no—
1132C4×D4—2256no—
1133C4×D4C22×D41512yescomplemented
1134#117—2256no—
1135#117—2256no—
1136#117—4128no—
1137C2×C4⋊C4—248no—
1138C2×C4⋊C4—248no—
1139C2×C4⋊C4—248no—
1140C2×C4⋊C4—248no—
1141C2×C4⋊C4—248no—
1142C2×C4⋊C4—248no—
1143C2×C4⋊C4—248no—
1144C2×C4⋊C4—248no—
1145C2×C4⋊C4—248no—
1146C2×C4⋊C4—248no—
1147C2×C4⋊C4—248no—
1148C2×C4⋊C4—248no—
1149C2×C4⋊C4—248no—
1150C2×C4⋊C4—248no—
1151C2×C4⋊C4—4128no—
1152C2×C4⋊C4—448no—
1153C2×C4⋊C4—448no—
1154C2×C4⋊C4—448no—
1155C2×C4⋊C4—448no—
1156C2×C4⋊C4C22×D4196yes—
1157C2×C4⋊C4C25116yes—
1158C2×C4⋊C4C25116yes—
1159C2×C4⋊C4C25116yes—
1160C2×C4⋊C4C25116yes—
1161C2×C4⋊C4C25116yes—
1162C2×C4⋊C4C25116yes—
1163C2×C4⋊C4C25116yes—
1164C2×C4⋊C4C25116yes—
1165C2×C4⋊C4C25116yes—
1166C2×C4⋊C4C25116yes—
1167C2×C4⋊C4C25116yes—
1168C2×C4⋊C4C25116yes—
1169C2×C4⋊C4C25116yes—
1170C2×C4⋊C4C25116yes—
1171C2×C4⋊C4C25132yes—
1172C2×C4⋊C4C25132yes—
1173C2×C4⋊C4C25132yes—
1174C2×C4⋊C4C25132yes—
1175C2×C4⋊C4C25116yes—
1176C2×C22⋊C4—248no—
1177C2×C22⋊C4—248no—
1178C2×C22⋊C4—248no—
1179C2×C22⋊C4—248no—
1180C2×C22⋊C4—296no—
1181C2×C22⋊C4—296no—
1182C2×C22⋊C4—248no—
1183C2×C22⋊C4—248no—
1184C2×C22⋊C4—296no—
1185C2×C22⋊C4—248no—
1186C2×C22⋊C4—248no—
1187C2×C22⋊C4—296no—
1188C2×C22⋊C4—296no—
1189C2×C22⋊C4—296no—
1190C2×C22⋊C4—296no—
1191C2×C22⋊C4—296no—
1192C2×C22⋊C4—4256no—
1193C2×C22⋊C4—448no—
1194C2×C22⋊C4—448no—
1195C2×C22⋊C4—448no—
1196C2×C22⋊C4—448no—
1197C2×C22⋊C4—448no—
1198C2×C22⋊C4—448no—
1199C2×C22⋊C4—4256no—
1200C2×C22⋊C4—448no—
1201C2×C22⋊C4—448no—
1202C2×C22⋊C4—448no—
1203C2×C22⋊C4—448no—
1204C2×C22⋊C4—448no—
1205C2×C22⋊C4—448no—
1206C2×C22⋊C4—448no—
1207C2×C22⋊C4—448no—
1208C2×C22⋊C4—448no—
1209C2×C22⋊C4—448no—
1210C2×C22⋊C4—448no—
1211C2×C22⋊C4—448no—
1212C2×C22⋊C4—448no—
1213C2×C22⋊C4—448no—
1214C2×C22⋊C4C22×D4196yes—
1215C2×C22⋊C4C22×D4196yes—
1216C2×C22⋊C4C25132yes—
1217C2×C22⋊C4C25132yes—
1218C2×C22⋊C4C25116yes—
1219C2×C22⋊C4C25116yes—
1220C2×C22⋊C4C25116yes—
1221C2×C22⋊C4C25116yes—
1222C2×C22⋊C4C25132yes—
1223C2×C22⋊C4C25116yes—
1224C2×C22⋊C4C25116yes—
1225C2×C22⋊C4C25116yes—
1226C2×C22⋊C4C25116yes—
1227C2×C22⋊C4C25132yes—
1228C2×C22⋊C4C25132yes—
1229C2×C22⋊C4C25132yes—
1230C2×C22⋊C4C25132yes—
1231C2×C22⋊C4C25132yes—
1232C2×C22⋊C4C25132yes—
1233C2×C22⋊C4C25132yes—
1234C2×C22⋊C4C25132yes—
1235C2×C22⋊C4C25132yes—
1236C2×C22⋊C4C25132yes—
1237C2×C22⋊C4C25132yes—
1238C2×C22⋊C4C25132yes—
1239C2×C22⋊C4C25132yes—
1240C2×C22⋊C4C25132yes—
1241C2×C22⋊C4C25132yes—
1242C2×C22⋊C4C25132yes—
1243C2×C22⋊C4C25132yes—
1244C2×C22⋊C4C25132yes—
1245C2×C22⋊C4C25132yes—
1246C2×C22⋊C4C25132yes—
1247C2×C22⋊C4C25132yes—
1248C2×C22⋊C4C25132yes—
1249C2×C22⋊C4C25132yes—
1250C2×C22⋊C4C25132yes—
1251C2×C22⋊C4C25132yes—
1252C2×C22⋊C4C25116yes—
1253C2×C22⋊C4C25116yes—
1254C2×C42—248no—
1255C2×C42—248no—
1256C2×C42—248no—
1257C2×C42—248no—
1258C2×C42—248no—
1259C2×C42—2256no—
1260C2×C42—448no—
1261C2×C42—448no—
1262C2×C42C22×D4196yes—
1263C2×C42C25116yes—
1264C2×C42C25116yes—
1265C2×C42C25116yes—
1266C2×C42C25116yes—
1267C2×C42C25116yes—
1268C2×C42C25132yes—
1269C2×C42C25132yes—
1270C2×C42C25116yes—
1271#95C25132yes—
1272#95C25132yes—
1273#95C25132yes—
1274#95C25132yes—
1275#95C25132yes—
1276#95C25132yes—
1277#95C25132yes—
1278#95C25132yes—
1279#95C25132yes—
1280C24—212no—
1281C24—212no—
1282C24—212no—
1283C24—212no—
1284C24—232no—
1285C24—232no—
1286C24—232no—
1287C24—232no—
1288C24—232no—
1289C24—232no—
1290C24—224no—
1291C24—212no—
1292C24—224no—
1293C24—212no—
1294C24—224no—
1295C24—212no—
1296C24—224no—
1297C24—212no—
1298C24—212no—
1299C24—224no—
1300C24—224no—
1301C24—212no—
1302C24—232no—
1303C24—232no—
1304C24—264no—
1305C24—232no—
1306C24—264no—
1307C24—264no—
1308C24—212no—
1309C24—224no—
1310C24—224no—
1311C24—212no—
1312C24—264no—
1313C24—224no—
1314C24—224no—
1315C24—224no—
1316C24—224no—
1317C24—212no—
1318C24—224no—
1319C24—224no—
1320C24—224no—
1321C24—224no—
1322C24—224no—
1323C24—224no—
1324C24—212no—
1325C24—212no—
1326C24—212no—
1327C24—224no—
1328C24—212no—
1329C24—224no—
1330C24—264no—
1331C24—264no—
1332C24—264no—
1333C24—264no—
1334C24—264no—
1335C24—432no—
1336C24—432no—
1337C24—432no—
1338C24—432no—
1339C24—432no—
1340C24—432no—
1341C24—432no—
1342C24—432no—
1343C24—4384no—
1344C24—4384no—
1345C24—4384no—
1346C24—4384no—
1347C24—4384no—
1348C24—432no—
1349C24—432no—
1350C24—416no—
1351C24—416no—
1352C24—432no—
1353C24—416no—
1354C24—416no—
1355C24—432no—
1356C24—4384no—
1357C24—432no—
1358C24—432no—
1359C24—416no—
1360C24—416no—
1361C24—432no—
1362C24—432no—
1363C24—416no—
1364C24—432no—
1365C24—432no—
1366C24—416no—
1367C24—432no—
1368C24—432no—
1369C24—416no—
1370C24—432no—
1371C24—432no—
1372C24—416no—
1373C24—432no—
1374C24—432no—
1375C24—416no—
1376C24—432no—
1377C24—432no—
1378C24—8192no—
1379C24—8192no—
1380C24—8192no—
1381C24—8192no—
1382C24—8192no—
1383C24—8192no—
1384C24—81024no—
1385C24—8192no—
1386C24—8192no—
1387C24—81024no—
1388C24#535164yes—
1389C24C23×D4124yes—
1390C24C23×D4124yes—
1391C24C23×D414yes—
1392C24C22×#41148yes—
1393C24C22×#4114yes—
1394C24C2×H(5,𝔽2)124yes—
1395C24C2×H(5,𝔽2)124yes—
1396C24C2×H(5,𝔽2)14yes—
1397C24C2×H(5,𝔽2)14yes—
1398C24C2×H(5,𝔽2)14yes—
1399C24C2×H(5,𝔽2)14yes—
1400C24#58514yes—
1401C24C2618yes—
1402C24C2618yes—
1403C24C2614yes—
1404C24C2614yes—
1405C24C2618yes—
1406C24C2614yes—
1407C24C2613yes—
1408C2×Q8—232no—
1409C2×Q8—232no—
1410C2×Q8—416no—
1411C2×Q8—4192no—
1412C2×D4—232no—
1413C2×D4—232no—
1414C2×D4—2384no—
1415C2×D4—232no—
1416C2×D4—232no—
1417C2×D4—264no—
1418C2×D4—264no—
1419C2×D4—264no—
1420C2×D4—264no—
1421C2×D4—232no—
1422C2×D4—232no—
1423C2×D4—264no—
1424C2×D4—264no—
1425C2×D4—264no—
1426C2×D4—232no—
1427C2×D4—264no—
1428C2×D4—264no—
1429C2×D4—264no—
1430C2×D4—232no—
1431C2×D4—232no—
1432C2×D4—264no—
1433C2×D4—232no—
1434C2×D4—232no—
1435C2×D4—232no—
1436C2×D4—232no—
1437C2×D4—232no—
1438C2×D4—232no—
1439C2×D4—2384no—
1440C2×D4—41024no—
1441C2×D4—41024no—
1442C2×D4—432no—
1443C2×D4—432no—
1444C2×D4—432no—
1445C2×D4—432no—
1446C2×D4—432no—
1447C2×D4—432no—
1448C2×D4—416no—
1449C2×D4—4192no—
1450C2×D4—4384no—
1451C2×D4—4384no—
1452C2×D4—4384no—
1453C2×D4—432no—
1454C2×D4—432no—
1455C2×D4—432no—
1456C2×D4—432no—
1457C2×D4—432no—
1458C2×D4—432no—
1459C2×D4—432no—
1460C2×D4—432no—
1461C2×D4—432no—
1462C2×D4—432no—
1463C2×D4—42048no—
1464C2×D4—4384no—
1465C2×D4—4192no—
1466C2×D4—4384no—
1467C2×D4—4192no—
1468C2×D4—4192no—
1469C2×D4—8192no—
1470C2×D4—8192no—
1471C2×D4—8192no—
1472C2×D4—8192no—
1473C2×D4C23×D4164yes—
1474C2×D4C22×#41164yes—
1475C22×C4—212no—
1476C22×C4—212no—
1477C22×C4—212no—
1478C22×C4—212no—
1479C22×C4—212no—
1480C22×C4—212no—
1481C22×C4—212no—
1482C22×C4—212no—
1483C22×C4—212no—
1484C22×C4—212no—
1485C22×C4—232no—
1486C22×C4—232no—
1487C22×C4—232no—
1488C22×C4—232no—
1489C22×C4—232no—
1490C22×C4—232no—
1491C22×C4—232no—
1492C22×C4—232no—
1493C22×C4—232no—
1494C22×C4—2384no—
1495C22×C4—2384no—
1496C22×C4—212no—
1497C22×C4—212no—
1498C22×C4—212no—
1499C22×C4—232no—
1500C22×C4—232no—
1501C22×C4—212no—
1502C22×C4—212no—
1503C22×C4—224no—
1504C22×C4—212no—
1505C22×C4—212no—
1506C22×C4—224no—
1507C22×C4—224no—
1508C22×C4—224no—
1509C22×C4—224no—
1510C22×C4—224no—
1511C22×C4—224no—
1512C22×C4—224no—
1513C22×C4—224no—
1514C22×C4—224no—
1515C22×C4—212no—
1516C22×C4—232no—
1517C22×C4—212no—
1518C22×C4—212no—
1519C22×C4—212no—
1520C22×C4—212no—
1521C22×C4—212no—
1522C22×C4—212no—
1523C22×C4—212no—
1524C22×C4—212no—
1525C22×C4—224no—
1526C22×C4—224no—
1527C22×C4—224no—
1528C22×C4—224no—
1529C22×C4—232no—
1530C22×C4—212no—
1531C22×C4—224no—
1532C22×C4—212no—
1533C22×C4—264no—
1534C22×C4—232no—
1535C22×C4—264no—
1536C22×C4—232no—
1537C22×C4—232no—
1538C22×C4—232no—
1539C22×C4—416no—
1540C22×C4—432no—
1541C22×C4—432no—
1542C22×C4—432no—
1543C22×C4—432no—
1544C22×C4—4192no—
1545C22×C4—4384no—
1546C22×C4—4192no—
1547C22×C4—416no—
1548C22×C4—416no—
1549C22×C4—432no—
1550C22×C4—416no—
1551C22×C4—416no—
1552C22×C4—416no—
1553C22×C4—416no—
1554C22×C4—432no—
1555C22×C4—432no—
1556C22×C4—432no—
1557C22×C4—432no—
1558C22×C4—4192no—
1559C22×C4—8192no—
1560C22×C4#546164yes—
1561C22×C4C23×D4124yes—
1562C22×C4C23×D4164yes—
1563C22×C4C23×D4124yes—
1564C22×C4C23×D4124yes—
1565C22×C4C23×D4124yes—
1566C22×C4C23×D4164yes—
1567C22×C4C23×D4124yes—
1568C22×C4C22×#41124yes—
1569C22×C4C2×H(5,𝔽2)124yes—
1570C22×C4C2×H(5,𝔽2)124yes—
1571C22×C4C2618yes—
1572C22×C4C2618yes—
1573C22×C4C2618yes—
1574C22×C4C2618yes—
1575C22×C4C2614yes—
1576C22×C4C2618yes—
1577C22×C4C2614yes—
1578C22×C4C2614yes—
1579C22×C4C2614yes—
1580C22×C4C2614yes—
1581C22×C4C2614yes—
1582C22×C4C2614yes—
1583C22×C4C2614yes—
1584C22×C4C2614yes—
1585C22×C4C2614yes—
1586C22×C4C2614yes—
1587C22×C4C2614yes—
1588C4⋊C4—232no—
1589C4⋊C4—232no—
1590C4⋊C4—232no—
1591C4⋊C4—232no—
1592C4⋊C4—232no—
1593C4⋊C4—232no—
1594C4⋊C4—232no—
1595C4⋊C4—232no—
1596C4⋊C4—232no—
1597C4⋊C4—232no—
1598C4⋊C4—232no—
1599C4⋊C4—232no—
1600C4⋊C4—232no—
1601C4⋊C4—232no—
1602C4⋊C4—432no—
1603C4⋊C4—432no—
1604C4⋊C4—432no—
1605C4⋊C4—432no—
1606C4⋊C4C23×D4164yes—
1607C22⋊C4—232no—
1608C22⋊C4—232no—
1609C22⋊C4—232no—
1610C22⋊C4—232no—
1611C22⋊C4—264no—
1612C22⋊C4—264no—
1613C22⋊C4—232no—
1614C22⋊C4—232no—
1615C22⋊C4—264no—
1616C22⋊C4—232no—
1617C22⋊C4—232no—
1618C22⋊C4—264no—
1619C22⋊C4—264no—
1620C22⋊C4—264no—
1621C22⋊C4—264no—
1622C22⋊C4—264no—
1623C22⋊C4—432no—
1624C22⋊C4—432no—
1625C22⋊C4—432no—
1626C22⋊C4—432no—
1627C22⋊C4—432no—
1628C22⋊C4—432no—
1629C22⋊C4—432no—
1630C22⋊C4—432no—
1631C22⋊C4—432no—
1632C22⋊C4—432no—
1633C22⋊C4—432no—
1634C22⋊C4—432no—
1635C22⋊C4—432no—
1636C22⋊C4—432no—
1637C22⋊C4—432no—
1638C22⋊C4—432no—
1639C22⋊C4—432no—
1640C22⋊C4—432no—
1641C22⋊C4—432no—
1642C22⋊C4—432no—
1643C22⋊C4C23×D4164yes—
1644C22⋊C4C23×D4164yes—
1645C42—232no—
1646C42—232no—
1647C42—232no—
1648C42—232no—
1649C42—232no—
1650C42—432no—
1651C42—432no—
1652C42C23×D4164yes—
1653C23—248no—
1654C23—248no—
1655C23—248no—
1656C23—248no—
1657C23—248no—
1658C23—24no—
1659C23—24no—
1660C23—24no—
1661C23—24no—
1662C23—2256no—
1663C23—248no—
1664C23—296no—
1665C23—296no—
1666C23—248no—
1667C23—28no—
1668C23—24no—
1669C23—28no—
1670C23—24no—
1671C23—28no—
1672C23—24no—
1673C23—28no—
1674C23—24no—
1675C23—24no—
1676C23—28no—
1677C23—28no—
1678C23—24no—
1679C23—248no—
1680C23—248no—
1681C23—296no—
1682C23—24no—
1683C23—28no—
1684C23—28no—
1685C23—24no—
1686C23—28no—
1687C23—28no—
1688C23—28no—
1689C23—28no—
1690C23—24no—
1691C23—28no—
1692C23—28no—
1693C23—28no—
1694C23—28no—
1695C23—28no—
1696C23—28no—
1697C23—24no—
1698C23—24no—
1699C23—24no—
1700C23—28no—
1701C23—24no—
1702C23—28no—
1703C23—4128no—
1704C23—4128no—
1705C23—4128no—
1706C23—4128no—
1707C23—4128no—
1708C23—424no—
1709C23—448no—
1710C23—448no—
1711C23—424no—
1712C23—424no—
1713C23—424no—
1714C23—448no—
1715C23—4128no—
1716C23—4256no—
1717C23—448no—
1718C23—424no—
1719C23—448no—
1720C23—448no—
1721C23—424no—
1722C23—448no—
1723C23—448no—
1724C23—424no—
1725C23—448no—
1726C23—448no—
1727C23—424no—
1728C23—448no—
1729C23—448no—
1730C23—424no—
1731C23—448no—
1732C23—448no—
1733C23—4128no—
1734C23—448no—
1735C23—448no—
1736C23—424no—
1737C23—424no—
1738C23—448no—
1739C23—448no—
1740C23—864no—
1741C23—864no—
1742C23—864no—
1743C23—864no—
1744C23—864no—
1745C23—864no—
1746C23—81536no—
1747C23—864no—
1748C23—864no—
1749C23—81536no—
1750C23—864no—
1751C23—8128no—
1752C23—8128no—
1753C23C2×#535196yes—
1754C23C2×#535116yes—
1755C23C2×#546116yes—
1756C23#3488116yes—
1757C23#3513116yes—
1758C23#3519116yes—
1759C23#3543116yes—
1760C23#3558116yes—
1761C23C24×D418yes—
1762C23C24×D418yes—
1763C23C24×D416yes—
1764C23C23×#41116yes—
1765C23C23×#4116yes—
1766C23C22×H(5,𝔽2)18yes—
1767C23C22×H(5,𝔽2)18yes—
1768C23C22×H(5,𝔽2)16yes—
1769C23C22×H(5,𝔽2)16yes—
1770C23C22×H(5,𝔽2)16yes—
1771C23C22×H(5,𝔽2)16yes—
1772C23C2×#58516yes—
1773C23C2711yescharacteristic
1774Q8—464no—
1775D4—2128no—
1776D4—2128no—
1777D4—464no—
1778D4—4128no—
1779D4—4128no—
1780D4—4128no—
1781D4—4128no—
1782D4—464no—
1783D4—4128no—
1784D4—464no—
1785D4—464no—
1786D4—864no—
1787D4—864no—
1788D4—864no—
1789D4—864no—
1790C2×C4—248no—
1791C2×C4—248no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—248no—
1803C2×C4—248no—
1804C2×C4—248no—
1805C2×C4—2128no—
1806C2×C4—2128no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—28no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—28no—
1816C2×C4—28no—
1817C2×C4—28no—
1818C2×C4—28no—
1819C2×C4—28no—
1820C2×C4—28no—
1821C2×C4—28no—
1822C2×C4—28no—
1823C2×C4—28no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—24no—
1833C2×C4—28no—
1834C2×C4—28no—
1835C2×C4—28no—
1836C2×C4—28no—
1837C2×C4—24no—
1838C2×C4—28no—
1839C2×C4—24no—
1840C2×C4—464no—
1841C2×C4—4128no—
1842C2×C4—448no—
1843C2×C4—448no—
1844C2×C4—448no—
1845C2×C4—448no—
1846C2×C4—424no—
1847C2×C4—424no—
1848C2×C4—464no—
1849C2×C4—424no—
1850C2×C4—424no—
1851C2×C4—448no—
1852C2×C4—424no—
1853C2×C4—424no—
1854C2×C4—464no—
1855C2×C4—864no—
1856C2×C4C2×#546196yes—
1857C2×C4C24×D418yes—
1858C2×C4C24×D418yes—
1859C2×C4C24×D418yes—
1860C2×C4C24×D418yes—
1861C2×C4C24×D418yes—
1862C2×C4C23×#4118yes—
1863C2×C4C22×H(5,𝔽2)18yes—
1864C2×C4C22×H(5,𝔽2)18yes—
1865C22—28no—
1866C22—28no—
1867C22—28no—
1868C22—28no—
1869C22—28no—
1870C22—2192no—
1871C22—28no—
1872C22—28no—
1873C22—28no—
1874C22—216no—
1875C22—216no—
1876C22—216no—
1877C22—28no—
1878C22—44no—
1879C22—48no—
1880C22—48no—
1881C22—44no—
1882C22—48no—
1883C22—44no—
1884C22—44no—
1885C22—4192no—
1886C22—496no—
1887C22—48no—
1888C22—44no—
1889C22—48no—
1890C22—48no—
1891C22—44no—
1892C22—48no—
1893C22—48no—
1894C22—48no—
1895C22—48no—
1896C22—44no—
1897C22—44no—
1898C22—48no—
1899C22—48no—
1900C22—44no—
1901C22—48no—
1902C22—48no—
1903C22—44no—
1904C22—48no—
1905C22—48no—
1906C22—44no—
1907C22—48no—
1908C22—48no—
1909C22—8256no—
1910C22—8256no—
1911C22—848no—
1912C22—896no—
1913C22—896no—
1914C22#38026164yesdirect product factor
1915C22C22×#535116yes—
1916C22C22×#535112yes—
1917C22C22×#546112yes—
1918C22C2×#3558112yes—
1919C22C2×#3543112yes—
1920C22C2×#3513112yes—
1921C22C2×#3519112yes—
1922C22C2×#3488112yes—
1923C22C25×D411yescharacteristic
1924C22C24×#4111yescharacteristic
1925C22C23×H(5,𝔽2)11yescharacteristic
1926C22C23×H(5,𝔽2)11yescharacteristic
1927C22C23×H(5,𝔽2)11yescharacteristic
1928C22C23×H(5,𝔽2)11yescharacteristic
1929C22C22×#58511yescharacteristic
1930C4—28no—
1931C4—28no—
1932C4—28no—
1933C4—28no—
1934C4—28no—
1935C4—48no—
1936C4—48no—
1937C4—48no—
1938C4—44no—
1939C4—44no—
1940C4—48no—
1941C4—44no—
1942C4—44no—
1943C4—48no—
1944C4—44no—
1945C4—44no—
1946C4C22×#546116yes—
1947C2—216no—
1948C2—48no—
1949C2—416no—
1950C2—84no—
1951C2—88no—
1952C2—88no—
1953C2C2×#38026124yesdirect product factor
1954C2C23×#53511yescharacteristic
1955C2C23×#54611yescharacteristic
1956C2C22×#351311yescharacteristic
1957C2C22×#351911yescharacteristic
1958C2C22×#348811yescharacteristic
1959C2C22×#355811yescharacteristic
1960C2C22×#354311yescharacteristic
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×D42C2semidirect
2. C23×#529C2semidirect
3. C2×#38026C2direct (N × H)
4. C22×#2711C2semidirect
5. C22×#2670C2semidirect
6. C22×#2714C2semidirect
7. C22×#2685C2semidirect
8. C22×#2854C2semidirect
9. C22×#2548C2semidirect
10. C22×#2580C2semidirect
11. C22×#2539C2semidirect
12. C22×#2414C2semidirect
13. C22×#2416C2semidirect
14. C22×#2408C2semidirect
15. C22×#2408C2semidirect
16. C22×#2472C2semidirect
17. C22×#2405C2semidirect
18. C22×#2410C2semidirect
19. C22×#2624C2semidirect
20. C22×#2619C2semidirect
21. C22×#2352C2semidirect
22. C22×#2324C2semidirect
23. C22×#2309C2semidirect
24. C23×#390C2semidirect
29. C22×D42C22semidirect
32. C22×#529C22semidirect
33. C23×#126C22semidirect
34. C23×#126C22semidirect
35. C23×#125C22semidirect
36. C23×#124C22semidirect
37. C23×#124C22semidirect
39. C23×#123C22semidirect
40. C23×#123C22semidirect
41. C23×C22⋊Q8C22semidirect
47. C23×#121C22semidirect
48. C23×#121C22semidirect
49. C23×#121C22semidirect
52. C23×#120C22semidirect
53. C23×#120C22semidirect
54. C23×C4×Q8C22semidirect
57. C23×C4×D4C22semidirect
58. C23×C4×D4C22semidirect
59. C23×#117C22semidirect
60. C23×#117C22semidirect
61. C23×#117C22semidirect
62. C24×C4⋊C4C22semidirect
63. C24×C22⋊C4C22semidirect
64. C24×C22⋊C4C22semidirect
65. C24×C42C22semidirect
66. C2×#2714C22semidirect
67. C2×#2711C22semidirect
68. C2×#2685C22semidirect
69. C2×#2670C22semidirect
70. #38026C22direct (N × H)
71. C2×#2854C22semidirect
72. C2×#2548C22semidirect
73. C2×#2580C22semidirect
74. C2×#2539C22semidirect
75. C2×#2414C22semidirect
76. C2×#2416C22semidirect
77. C2×#2408C22semidirect
78. C2×#2408C22semidirect
79. C2×#2472C22semidirect
80. C2×#2405C22semidirect
81. C2×#2410C22semidirect
82. C2×#2624C22semidirect
83. C2×#2619C22semidirect
84. C22×#399C22semidirect
85. C22×#399C22semidirect
86. C22×#397C22semidirect
87. C22×#396C22semidirect
88. C22×#394C22semidirect
89. C22×#394C22semidirect
90. C22×#394C22semidirect
91. C22×#394C22semidirect
92. C22×#394C22semidirect
93. C22×#394C22semidirect
94. C22×#394C22semidirect
95. C22×#394C22semidirect
96. C22×#394C22semidirect
97. C22×#394C22semidirect
98. C22×#393C22semidirect
99. C22×#392C22semidirect
100. C22×#392C22semidirect
101. C22×#392C22semidirect
102. C22×#392C22semidirect
103. C22×#392C22semidirect
104. C2×#2352C22semidirect
105. C2×#2324C22semidirect
106. C2×#2309C22semidirect
110. C22×#390C22semidirect
111. C22×#390C22semidirect
112. C22×#390C22semidirect
113. C22×#390C22semidirect
114. C22×#390C22semidirect
115. C22×#390C22semidirect
116. C22×#390C22semidirect
117. C22×#390C22semidirect
118. C22×#390C22semidirect
119. C22×#390C22semidirect
120. C22×#390C22semidirect
121. C22×#390C22semidirect
122. C22×#390C22semidirect
123. C22×#390C22semidirect
124. C22×#389C22semidirect
125. C22×#389C22semidirect
126. C22×#389C22semidirect
127. C22×#388C22semidirect
128. C22×#388C22semidirect
129. C22×#388C22semidirect
130. C22×#388C22semidirect
131. C22×#388C22semidirect
132. C22×#387C22semidirect
134. C22×#386C22semidirect
135. C22×#386C22semidirect
136. C22×#386C22semidirect
137. C22×#385C22semidirect
138. C22×#385C22semidirect
139. C22×#385C22semidirect
140. C22×#382C22semidirect
141. C22×#380C22semidirect
142. C22×#380C22semidirect
143. C22×#380C22semidirect
144. C22×#379C22semidirect
145. C22×#379C22semidirect
146. C22×#379C22semidirect
147. C22×#379C22semidirect
148. C22×C4×C4⋊C4C22semidirect
149. C22×C4×C22⋊C4C22semidirect
188. C2×D42C23semidirect
192. C2×#529C23semidirect
195. C22×#126C23semidirect
196. C22×#126C23semidirect
198. C22×#125C23semidirect
201. C22×#124C23semidirect
202. C22×#124C23semidirect
207. C22×#123C23semidirect
208. C22×#123C23semidirect
210. C22×C22⋊Q8C23semidirect
224. C22×#121C23semidirect
225. C22×#121C23semidirect
226. C22×#121C23semidirect
233. C22×#120C23semidirect
234. C22×#120C23semidirect
236. C22×C4×Q8C23semidirect
240. C22×C4×D4D4semidirect
243. C22×C4×D4C23semidirect
244. C22×C4×D4C23semidirect
248. C22×#117C23semidirect
249. C22×#117C23semidirect
250. C22×#117C23semidirect
271. C23×C4⋊C4C23semidirect
312. C23×C22⋊C4C23semidirect
313. C23×C22⋊C4C23semidirect
323. C23×C42C23semidirect
324. #2854C23semidirect
325. #2714C23semidirect
326. #2711C23semidirect
327. #2685C23semidirect
328. #2670C23semidirect
329. #2624C23semidirect
330. #2619C23semidirect
331. #2580C23semidirect
332. #2548C23semidirect
333. #2539C23semidirect
334. #2472C23semidirect
335. #2416C23semidirect
336. #2414C23semidirect
337. #2410C23semidirect
338. #2408C23semidirect
339. #2408C23semidirect
340. #2405C23semidirect
341. C2×#399C23semidirect
342. C2×#399C23semidirect
343. C2×#397C23semidirect
344. C2×#396C23semidirect
345. C2×#394C23semidirect
346. C2×#394C23semidirect
347. C2×#394C23semidirect
348. C2×#394C23semidirect
349. C2×#394C23semidirect
350. C2×#394C23semidirect
351. C2×#394C23semidirect
352. C2×#394C23semidirect
353. C2×#394C23semidirect
354. C2×#394C23semidirect
355. C2×#393C23semidirect
356. C2×#392C23semidirect
357. C2×#392C23semidirect
358. C2×#392C23semidirect
359. C2×#392C23semidirect
360. C2×#392C23semidirect
361. #2352C23semidirect
362. #2324C23semidirect
363. #2309C23semidirect
367. C2×#390C23semidirect
368. C2×#390C23semidirect
369. C2×#390C23semidirect
370. C2×#390C23semidirect
371. C2×#390C23semidirect
372. C2×#390C23semidirect
373. C2×#390C23semidirect
374. C2×#390C23semidirect
375. C2×#390C23semidirect
376. C2×#390C23semidirect
377. C2×#390C23semidirect
378. C2×#390C23semidirect
379. C2×#390C23semidirect
380. C2×#390C23semidirect
381. C2×#389C23semidirect
382. C2×#389C23semidirect
383. C2×#389C23semidirect
384. C2×#388C23semidirect
385. C2×#388C23semidirect
386. C2×#388C23semidirect
387. C2×#388C23semidirect
388. C2×#388C23semidirect
389. C2×#387C23semidirect
391. C2×#386C23semidirect
392. C2×#386C23semidirect
393. C2×#386C23semidirect
394. C2×#385C23semidirect
395. C2×#385C23semidirect
396. C2×#385C23semidirect
397. C2×#382C23semidirect
398. C2×#380C23semidirect
399. C2×#380C23semidirect
400. C2×#380C23semidirect
401. C2×#379C23semidirect
402. C2×#379C23semidirect
403. C2×#379C23semidirect
404. C2×#379C23semidirect
405. C2×C4×C4⋊C4C23semidirect
406. C2×C4×C22⋊C4C23semidirect
568. C2×#126C24semidirect
569. C2×#126C24semidirect
571. C2×#125C24semidirect
574. C2×#124C24semidirect
575. C2×#124C24semidirect
580. C2×#123C24semidirect
581. C2×#123C24semidirect
583. C2×C22⋊Q8C24semidirect
597. C2×#121C24semidirect
598. C2×#121C24semidirect
599. C2×#121C24semidirect
606. C2×#120C24semidirect
607. C2×#120C24semidirect
609. C2×C4×Q8C24semidirect
613. C2×C4×D4C2×D4semidirect
616. C2×C4×D4C24semidirect
617. C2×C4×D4C24semidirect
621. C2×#117C24semidirect
622. C2×#117C24semidirect
623. C2×#117C24semidirect
663. C22×C4⋊C4C24semidirect
742. C22×C22⋊C4C24semidirect
743. C22×C22⋊C4C24semidirect
761. C22×C42C24semidirect
762. #399C24semidirect
763. #399C24semidirect
764. #397C24semidirect
765. #396C24semidirect
766. #394C24semidirect
767. #394C24semidirect
768. #394C24semidirect
769. #394C24semidirect
770. #394C24semidirect
771. #394C24semidirect
772. #394C24semidirect
773. #394C24semidirect
774. #394C24semidirect
775. #394C24semidirect
776. #393C24semidirect
777. #392C24semidirect
778. #392C24semidirect
779. #392C24semidirect
780. #392C24semidirect
781. #392C24semidirect
785. #390C24semidirect
786. #390C24semidirect
787. #390C24semidirect
788. #390C24semidirect
789. #390C24semidirect
790. #390C24semidirect
791. #390C24semidirect
792. #390C24semidirect
793. #390C24semidirect
794. #390C24semidirect
795. #390C24semidirect
796. #390C24semidirect
797. #390C24semidirect
798. #389C24semidirect
799. #389C24semidirect
800. #389C24semidirect
801. #388C24semidirect
802. #388C24semidirect
803. #388C24semidirect
804. #388C24semidirect
805. #388C24semidirect
806. #387C24semidirect
808. #386C24semidirect
809. #386C24semidirect
810. #386C24semidirect
811. #385C24semidirect
812. #385C24semidirect
813. #385C24semidirect
814. #382C24semidirect
815. #380C24semidirect
816. #380C24semidirect
817. #380C24semidirect
818. #379C24semidirect
819. #379C24semidirect
820. #379C24semidirect
821. #379C24semidirect
822. C4×C4⋊C4C24semidirect
823. C4×C22⋊C4C24semidirect
1133. C4×D4C22×D4semidirect
1914. C22#38026direct (N × H)
1953. C2C2×#38026direct (N × H)

Maximal subgroups

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

subgroupindex
C23×D422
C23×#5292
C2×#380262
C22×#27112
C22×#26702
C22×#27142
C22×#26852
C22×#28542
C22×#25482
C22×#25802
C22×#25392
C22×#24142
C22×#24162
C22×#24082
C22×#24722
C22×#24052
C22×#24102
C22×#26242
C22×#26192
C22×#23522
C22×#23242
C22×#23092
C23×#3902