Finite Group Databasebeta

← C22×#59808 #72293714

Subgroups — C22×#59808 #72293714

Order 1024.

146149 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#547C211yesmaximal, characteristic, complemented
2C23×#546C212yesmaximal, complemented
3C23×D42C211yesmaximal, characteristic, complemented
4C2×#59808C2196yesmaximal, direct product factor
5C22×#2681C212yesmaximal, complemented
6C22×#2678C212yesmaximal, complemented
7C22×#2534C212yesmaximal, complemented
8C22×#2491C211yesmaximal, characteristic, complemented
9C22×#2486C211yesmaximal, characteristic, complemented
10C22×#2404C212yesmaximal, complemented
11C22×#2452C211yesmaximal, characteristic, complemented
12C22×#2445C211yesmaximal, characteristic, complemented
13C22×#2428C211yesmaximal, characteristic, complemented
14C22×#2464C212yesmaximal, complemented
15C22×#2416C211yesmaximal, characteristic, complemented
16C22×#2408C211yesmaximal, characteristic, complemented
17C22×#2408C211yesmaximal, characteristic, complemented
18C22×#2472C212yesmaximal, complemented
19C22×#2405C212yesmaximal, complemented
20C22×#2361C211yesmaximal, characteristic, complemented
21C22×D4×C22⋊C4C211yesmaximal, characteristic, complemented
22C22×C4×#121C211yesmaximal, characteristic, complemented
23C22×C4×#121C211yesmaximal, characteristic, complemented
24C23×#390C211yesmaximal, characteristic, complemented
25C24×#41C2212yescomplemented
26C25×D4C2211yescharacteristic
27C25×D4C2212yes—
28C25×D4C2211yescharacteristic
29C22×#547—232no—
30C22×#547C22148yescomplemented
31C22×#546—264no—
32C22×#546C22196yescomplemented
33C22×D42—232no—
34C22×D42C22148yescomplemented
35C23×C4⋊Q8C2211yescharacteristic, complemented
36C23×#127C2211yescharacteristic
37C23×#124C2212yescomplemented
38C23×#123C2212yes—
39C23×#123C2212yescomplemented
40C23×#123C2212yescomplemented
41C23×#123C2212yescomplemented
42C23×C22⋊Q8C2212yescomplemented
43C23×C22⋊Q8C2212yescomplemented
44C23×#121C2212yes—
45C23×#121C2211yescharacteristic
46C23×#121C2211yescharacteristic
47C23×#121C2211yescharacteristic
48C23×#121C2211yescharacteristic
49C23×#121C2212yescomplemented
50C23×#121C2211yescharacteristic, complemented
51C23×#121C2212yescomplemented
52C23×#121C2211yescharacteristic, complemented
53C23×#120C2212yes—
54C23×#120C2212yes—
55C23×#120C2212yescomplemented
56C23×#120C2212yescomplemented
57C23×C4×D4C2211yescharacteristic
58C23×C4×D4C2211yescharacteristic
59C23×C4×D4C2211yescharacteristic, complemented
60C23×C4×D4C2212yescomplemented
61C23×C4×D4C2212yescomplemented
62C23×C4×D4C2211yescharacteristic, complemented
63C23×C4×D4C2211yescharacteristic, complemented
64C23×C4×D4C2211yescharacteristic, complemented
65C24×C4⋊C4C2211yescharacteristic, complemented
66C24×C4⋊C4C2211yescharacteristic, complemented
67C24×C22⋊C4C2212yescomplemented
68C24×C22⋊C4C2212yescomplemented
69C24×C22⋊C4C2212yescomplemented
70C24×C42C2211yescharacteristic, complemented
71#59808C2211024yesdirect product factor
72C2×#2681C22196yescomplemented
73C2×#2678C22196yescomplemented
74C2×#2534C22196yescomplemented
75C2×#2491C22148yescomplemented
76C2×#2486C22148yescomplemented
77C2×#2404C22196yescomplemented
78C2×#2452C22148yescomplemented
79C2×#2445C22148yescomplemented
80C2×#2428C22148yescomplemented
81C2×#2464C22196yescomplemented
82C2×#2416C22148yescomplemented
83C2×#2408C22148yescomplemented
84C2×#2408C22148yescomplemented
85C2×#2472C22196yescomplemented
86C2×#2405C22196yescomplemented
87C22×#398C2212yescomplemented
88C22×#397C2212yescomplemented
89C22×#396C2212yescomplemented
90C22×#396C2212yescomplemented
91C22×#394C2212yescomplemented
92C22×#394C2212yescomplemented
93C22×#394C2212yescomplemented
94C22×#394C2212yescomplemented
95C22×#394C2212yescomplemented
96C22×#394C2212yescomplemented
97C22×#394C2212yescomplemented
98C22×#393C2212yescomplemented
99C22×#393C2212yescomplemented
100C22×#392C2212yescomplemented
101C22×#392C2212yescomplemented
102C22×#392C2212yescomplemented
103C2×#2361C22148yescomplemented
104C2×D4×C22⋊C4C22148yescomplemented
105C2×C4×#121C22148yescomplemented
106C2×C4×#121C22148yescomplemented
107C22×#390C2211yescharacteristic
108C22×#390C2211yescharacteristic
109C22×#390C2211yescharacteristic
110C22×#390C2211yescharacteristic, complemented
111C22×#390C2212yescomplemented
112C22×#390C2212yescomplemented
113C22×#390C2211yescharacteristic, complemented
114C22×#390C2211yescharacteristic, complemented
115C22×#390C2211yescharacteristic, complemented
116C22×#390C2211yescharacteristic, complemented
117C22×#390C22148yescomplemented
118C22×#389C2211yescharacteristic, complemented
119C22×#389C2211yescharacteristic, complemented
120C22×#389C2211yescharacteristic, complemented
121C22×#389C2211yescharacteristic, complemented
122C22×#388C2212yescomplemented
123C22×#388C2211yescharacteristic, complemented
124C22×#388C2211yescharacteristic, complemented
125C22×#388C2212yescomplemented
126C22×#388C2212yescomplemented
127C22×#386C2211yescharacteristic
128C22×#386C2212yescomplemented
129C22×#386C2212yescomplemented
130C22×#386C2212yescomplemented
131C22×#386C2211yescharacteristic, complemented
132C22×#386C2212yescomplemented
133C22×#386C2212yescomplemented
134C22×#386C2212yescomplemented
135C22×#386C2212yescomplemented
136C22×#385C2212yescomplemented
137C22×#385C2212yescomplemented
138C22×#381C2212yescomplemented
139C22×#380C2211yescharacteristic, complemented
140C22×#380C2211yescharacteristic, complemented
141C22×#380C2211yescharacteristic, complemented
142C22×#380C2211yescharacteristic, complemented
143C22×#379C2212yescomplemented
144C22×#379C2212yescomplemented
145C22×#379C2212yescomplemented
146C22×C4×C4⋊C4C2211yescharacteristic, complemented
147C22×C4×C4⋊C4C2211yescharacteristic, complemented
148C22×C4×C22⋊C4C2212yescomplemented
149C22×C4×C22⋊C4C2211yescharacteristic, complemented
150C22×C4×C22⋊C4C2211yescharacteristic, complemented
151C27C2312yes—
152C27C2312yes—
153C23×#41—232no—
154C23×#41—232no—
155C23×#41—416no—
156C23×#41C23148yescomplemented
157C24×Q8C2312yes—
158C24×D4—232no—
159C24×D4—216no—
160C24×D4—232no—
161C24×D4—216no—
162C24×D4—216no—
163C24×D4—216no—
164C24×D4—48no—
165C24×D4—48no—
166C24×D4—416no—
167C24×D4C2311yescharacteristic
168C24×D4C23124yes—
169C24×D4C23148yes—
170C24×D4C23124yes—
171C24×D4C2312yes—
172C24×D4C2312yes—
173C24×D4C2312yes—
174C24×D4C2312yes—
175C24×D4C2312yes—
176C24×D4C2312yes—
177C24×D4C2311yescharacteristic
178C24×D4C2312yes—
179C24×D4C2311yescharacteristic
180C24×D4C2311yescharacteristic
181C24×D4C2311yescharacteristic
182C24×D4C2312yes—
183C24×D4C2312yes—
184C24×D4C2311yescharacteristic
185C25×C4C2311yescharacteristic
186C25×C4C2312yes—
187C25×C4C2311yescharacteristic
188C25×C4C2312yes—
189C25×C4C2312yes—
190C25×C4C2312yes—
191C25×C4C2311yescharacteristic
192C25×C4C2311yescharacteristic
193C25×C4C2312yes—
194C25×C4C2311yescharacteristic
195C2×#547—2768no—
196C2×#547C231256yescomplemented
197C2×#546—21536no—
198C2×#546C231512yescomplemented
199C2×D42—2768no—
200C2×D42C231256yescomplemented
201C22×C4⋊Q8—216no—
202C22×C4⋊Q8C23124yescomplemented
203C22×#127—216no—
204C22×#127C23124yes—
205C22×#124—232no—
206C22×#124C23148yescomplemented
207C22×#123—232no—
208C22×#123—232no—
209C22×#123—232no—
210C22×#123—232no—
211C22×#123C23148yes—
212C22×#123C23148yescomplemented
213C22×#123C23148yescomplemented
214C22×#123C23148yescomplemented
215C22×C22⋊Q8—232no—
216C22×C22⋊Q8—232no—
217C22×C22⋊Q8C23148yescomplemented
218C22×C22⋊Q8C23148yescomplemented
219C22×#121—216no—
220C22×#121—232no—
221C22×#121—216no—
222C22×#121—216no—
223C22×#121—232no—
224C22×#121—232no—
225C22×#121—48no—
226C22×#121D4132yescomplemented
227C22×#121D4132yescomplemented
228C22×#121C23124yes—
229C22×#121C23124yes—
230C22×#121C23148yes—
231C22×#121C23124yes—
232C22×#121C23124yes—
233C22×#121C23124yescomplemented
234C22×#121C23148yescomplemented
235C22×#121C23148yescomplemented
236C22×#121C23124yescomplemented
237C22×#120—232no—
238C22×#120—232no—
239C22×#120—232no—
240C22×#120—232no—
241C22×#120C23148yes—
242C22×#120C23148yes—
243C22×#120C23148yescomplemented
244C22×#120C23148yescomplemented
245C22×C4×D4—216no—
246C22×C4×D4—216no—
247C22×C4×D4—216no—
248C22×C4×D4—232no—
249C22×C4×D4—216no—
250C22×C4×D4—232no—
251C22×C4×D4—48no—
252C22×C4×D4—48no—
253C22×C4×D4C23124yes—
254C22×C4×D4C23124yes—
255C22×C4×D4C23148yescomplemented
256C22×C4×D4C23124yescomplemented
257C22×C4×D4C23148yescomplemented
258C22×C4×D4C23124yescomplemented
259C22×C4×D4C23124yescomplemented
260C22×C4×D4C23124yescomplemented
261C23×C4⋊C4—216no—
262C23×C4⋊C4—216no—
263C23×C4⋊C4C2311yescharacteristic
264C23×C4⋊C4C2311yescharacteristic
265C23×C4⋊C4C2312yes—
266C23×C4⋊C4C2312yes—
267C23×C4⋊C4C2311yescharacteristic
268C23×C4⋊C4C2312yes—
269C23×C4⋊C4C2311yescharacteristic
270C23×C4⋊C4C2311yescharacteristic
271C23×C4⋊C4C2312yes—
272C23×C4⋊C4C2311yescharacteristic
273C23×C4⋊C4C2312yes—
274C23×C4⋊C4C2312yes—
275C23×C4⋊C4C2311yescharacteristic
276C23×C4⋊C4C2311yescharacteristic
277C23×C4⋊C4C2311yescharacteristic
278C23×C4⋊C4C2311yescharacteristic
279C23×C4⋊C4C23124yescomplemented
280C23×C4⋊C4C23124yescomplemented
281C23×C22⋊C4—232no—
282C23×C22⋊C4—232no—
283C23×C22⋊C4—416no—
284C23×C22⋊C4C2312yes—
285C23×C22⋊C4C2312yes—
286C23×C22⋊C4C2312yes—
287C23×C22⋊C4C2312yes—
288C23×C22⋊C4C2312yes—
289C23×C22⋊C4C2312yes—
290C23×C22⋊C4C2311yescharacteristic
291C23×C22⋊C4C2312yes—
292C23×C22⋊C4C2311yescharacteristic
293C23×C22⋊C4C2312yes—
294C23×C22⋊C4C2312yes—
295C23×C22⋊C4C2311yescharacteristic
296C23×C22⋊C4C2312yes—
297C23×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
308C23×C22⋊C4C2312yes—
309C23×C22⋊C4C2311yescharacteristic
310C23×C22⋊C4C2312yes—
311C23×C22⋊C4C2311yescharacteristic
312C23×C22⋊C4C2312yes—
313C23×C22⋊C4C2311yescharacteristic
314C23×C22⋊C4C2312yes—
315C23×C22⋊C4C2312yes—
316C23×C22⋊C4C2312yes—
317C23×C22⋊C4C2311yescharacteristic
318C23×C22⋊C4C2311yescharacteristic
319C23×C22⋊C4C23148yescomplemented
320C23×C22⋊C4C23148yescomplemented
321C23×C22⋊C4C23148yescomplemented
322C23×C42—48no—
323C23×C42C2311yescharacteristic
324C23×C42C2311yescharacteristic
325C23×C42C2311yescharacteristic
326C23×C42C2312yes—
327C23×C42C2311yescharacteristic
328C23×C42C2311yescharacteristic
329C23×C42C2311yescharacteristic
330C23×C42C23124yescomplemented
331#2681C231512yescomplemented
332#2678C231512yescomplemented
333#2534C231512yescomplemented
334#2491C231256yescomplemented
335#2486C231256yescomplemented
336#2472C231512yescomplemented
337#2464C231512yescomplemented
338#2452C231256yescomplemented
339#2445C231256yescomplemented
340#2428C231256yescomplemented
341#2416C231256yescomplemented
342#2408C231256yescomplemented
343#2408C231256yescomplemented
344#2405C231512yescomplemented
345#2404C231512yescomplemented
346C2×#398C23148yescomplemented
347C2×#397C23148yescomplemented
348C2×#396C23148yescomplemented
349C2×#396C23148yescomplemented
350C2×#394C23148yescomplemented
351C2×#394C23148yescomplemented
352C2×#394C23148yescomplemented
353C2×#394C23148yescomplemented
354C2×#394C23148yescomplemented
355C2×#394C23148yescomplemented
356C2×#394C23148yescomplemented
357C2×#393C23148yescomplemented
358C2×#393C23148yescomplemented
359C2×#392C23148yescomplemented
360C2×#392C23148yescomplemented
361C2×#392C23148yescomplemented
362#2361C231256yescomplemented
363D4×C22⋊C4C231256yescomplemented
364C4×#121C231256yescomplemented
365C4×#121C231256yescomplemented
366C2×#390C23124yes—
367C2×#390C23124yes—
368C2×#390C23124yes—
369C2×#390C23148yescomplemented
370C2×#390C23124yescomplemented
371C2×#390C23124yescomplemented
372C2×#390C23124yescomplemented
373C2×#390C23124yescomplemented
374C2×#390C23124yescomplemented
375C2×#390C23148yescomplemented
376C2×#390C231256yescomplemented
377C2×#389C23124yescomplemented
378C2×#389C23124yescomplemented
379C2×#389C23124yescomplemented
380C2×#389C23124yescomplemented
381C2×#388C23148yescomplemented
382C2×#388C23148yescomplemented
383C2×#388C23124yescomplemented
384C2×#388C23124yescomplemented
385C2×#388C23148yescomplemented
386C2×#386C23124yes—
387C2×#386C23148yescomplemented
388C2×#386C23148yescomplemented
389C2×#386C23148yescomplemented
390C2×#386C23148yescomplemented
391C2×#386C23148yescomplemented
392C2×#386C23148yescomplemented
393C2×#386C23148yescomplemented
394C2×#386C23124yescomplemented
395C2×#385C23148yescomplemented
396C2×#385C23148yescomplemented
397C2×#381C23148yescomplemented
398C2×#380C23124yescomplemented
399C2×#380C23124yescomplemented
400C2×#380C23124yescomplemented
401C2×#380C23124yescomplemented
402C2×#379C23148yescomplemented
403C2×#379C23148yescomplemented
404C2×#379C23148yescomplemented
405C2×C4×C4⋊C4C23124yescomplemented
406C2×C4×C4⋊C4C23124yescomplemented
407C2×C4×C22⋊C4C23124yescomplemented
408C2×C4×C22⋊C4C23124yescomplemented
409C2×C4×C22⋊C4C23148yescomplemented
410C22×#95C2311yescharacteristic
411C22×#95C2311yescharacteristic
412C22×#95C2312yes—
413C22×#95C2311yescharacteristic
414C22×#95C2312yes—
415C22×#95C2311yescharacteristic
416C22×#95C2311yescharacteristic
417C22×#95C2312yes—
418C22×#95C2311yescharacteristic
419C22×#95C2312yes—
420C22×#95C2312yes—
421C22×#95C2312yes—
422C22×#95C2312yes—
423C26—216no—
424C26—216no—
425C26—216no—
426C26—216no—
427C26—216no—
428C26—216no—
429C26—216no—
430C26—48no—
431C26—48no—
432C26—48no—
433C26—48no—
434C26—48no—
435C26—48no—
436C26—48no—
437C26C2412yes—
438C26C2411yescharacteristic
439C26C2412yes—
440C26C2411yescharacteristic
441C26C2412yes—
442C26C24124yes—
443C26C2411yescharacteristic
444C26C24124yes—
445C22×#41—2384no—
446C22×#41—2384no—
447C22×#41—4192no—
448C22×#41—4512no—
449C22×#41C241128yescomplemented
450C23×Q8—216no—
451C23×Q8—216no—
452C23×Q8—48no—
453C23×Q8C24124yes—
454C23×D4—28no—
455C23×D4—216no—
456C23×D4—28no—
457C23×D4—28no—
458C23×D4—216no—
459C23×D4—28no—
460C23×D4—216no—
461C23×D4—216no—
462C23×D4—216no—
463C23×D4—216no—
464C23×D4—216no—
465C23×D4—216no—
466C23×D4—216no—
467C23×D4—216no—
468C23×D4—216no—
469C23×D4—216no—
470C23×D4—216no—
471C23×D4—2384no—
472C23×D4—2192no—
473C23×D4—2384no—
474C23×D4—2192no—
475C23×D4—2192no—
476C23×D4—28no—
477C23×D4—216no—
478C23×D4—216no—
479C23×D4—216no—
480C23×D4—28no—
481C23×D4—2192no—
482C23×D4—28no—
483C23×D4—28no—
484C23×D4—28no—
485C23×D4—28no—
486C23×D4—28no—
487C23×D4—496no—
488C23×D4—496no—
489C23×D4—4256no—
490C23×D4—48no—
491C23×D4—48no—
492C23×D4—48no—
493C23×D4—48no—
494C23×D4—44no—
495C23×D4—48no—
496C23×D4—48no—
497C23×D4—44no—
498C23×D4—48no—
499C23×D4—48no—
500C23×D4—48no—
501C23×D4—48no—
502C23×D4—4192no—
503C23×D4—4512no—
504C23×D4—4256no—
505C23×D4C2×D4116yes—
506C23×D4C2×D4132yes—
507C23×D4C2×D4116yes—
508C23×D4C2×D4116yescomplemented
509C23×D4C2×D4116yescomplemented
510C23×D4#41116yescomplemented
511C23×D4C24112yes—
512C23×D4C24164yes—
513C23×D4C24124yes—
514C23×D4C24124yes—
515C23×D4C24124yes—
516C23×D4C24124yes—
517C23×D4C241128yes—
518C23×D4C24164yes—
519C23×D4C24124yes—
520C23×D4C24124yes—
521C23×D4C24112yes—
522C23×D4C24124yes—
523C23×D4C24112yes—
524C23×D4C24112yes—
525C23×D4C24112yes—
526C23×D4C24124yes—
527C23×D4C24124yes—
528C23×D4C24112yes—
529C24×C4—28no—
530C24×C4—28no—
531C24×C4—216no—
532C24×C4—216no—
533C24×C4—216no—
534C24×C4—216no—
535C24×C4—216no—
536C24×C4—28no—
537C24×C4—216no—
538C24×C4—28no—
539C24×C4—216no—
540C24×C4—216no—
541C24×C4—216no—
542C24×C4—28no—
543C24×C4—28no—
544C24×C4—28no—
545C24×C4—28no—
546C24×C4—28no—
547C24×C4—216no—
548C24×C4—44no—
549C24×C4—44no—
550C24×C4—48no—
551C24×C4—48no—
552C24×C4—48no—
553C24×C4—44no—
554C24×C4—44no—
555C24×C4—48no—
556C24×C4—48no—
557C24×C4C2×D4116yes—
558C24×C4C2×D4116yescomplemented
559C24×C4C24112yes—
560C24×C4C24124yes—
561C24×C4C24112yes—
562C24×C4C2412yes—
563C24×C4C2411yescharacteristic
564C24×C4C2412yes—
565C24×C4C2412yes—
566C24×C4C2411yescharacteristic
567C24×C4C2411yescharacteristic
568C24×C4C2411yescharacteristic
569C24×C4C2411yescharacteristic
570C24×C4C2412yes—
571C24×C4C2411yescharacteristic
572C24×C4C24124yes—
573C24×C4C24124yes—
574C24×C4C24124yes—
575C24×C4C24112yes—
576C24×C4C2411yescharacteristic
577C24×C4C2411yescharacteristic
578C24×C4C2412yes—
579C24×C4C2411yescharacteristic
580C24×C4C2411yescharacteristic
581C24×C4C2411yescharacteristic
582C24×C4C24112yes—
583C24×C4C24124yes—
584C24×C4C24112yes—
585C24×C4C2411yescharacteristic
586#547—22048no—
587#546—24096no—
588D42—22048no—
589C2×C4⋊Q8—2192no—
590C2×C4⋊Q8C24164yescomplemented
591C2×#127—2192no—
592C2×#127C24164yes—
593C2×#124—2384no—
594C2×#124C241128yescomplemented
595C2×#123—2384no—
596C2×#123—2384no—
597C2×#123—2384no—
598C2×#123—2384no—
599C2×#123C241128yes—
600C2×#123C241128yescomplemented
601C2×#123C241128yescomplemented
602C2×#123C241128yescomplemented
603C2×C22⋊Q8—2384no—
604C2×C22⋊Q8—2384no—
605C2×C22⋊Q8C241128yescomplemented
606C2×C22⋊Q8C241128yescomplemented
607C2×#121—2192no—
608C2×#121—2384no—
609C2×#121—2192no—
610C2×#121—2192no—
611C2×#121—2384no—
612C2×#121—2384no—
613C2×#121—496no—
614C2×#121C2×D41384yescomplemented
615C2×#121C2×D41384yescomplemented
616C2×#121C24164yes—
617C2×#121C24164yes—
618C2×#121C241128yes—
619C2×#121C24164yes—
620C2×#121C24164yes—
621C2×#121C24164yescomplemented
622C2×#121C241128yescomplemented
623C2×#121C241128yescomplemented
624C2×#121C24164yescomplemented
625C2×#120—2384no—
626C2×#120—2384no—
627C2×#120—2384no—
628C2×#120—2384no—
629C2×#120C241128yes—
630C2×#120C241128yes—
631C2×#120C241128yescomplemented
632C2×#120C241128yescomplemented
633C2×C4×D4—2192no—
634C2×C4×D4—2192no—
635C2×C4×D4—2192no—
636C2×C4×D4—2384no—
637C2×C4×D4—2192no—
638C2×C4×D4—2384no—
639C2×C4×D4—496no—
640C2×C4×D4—496no—
641C2×C4×D4C24164yes—
642C2×C4×D4C24164yes—
643C2×C4×D4C24164yescomplemented
644C2×C4×D4C241128yescomplemented
645C2×C4×D4C24164yescomplemented
646C2×C4×D4C241128yescomplemented
647C2×C4×D4C24164yescomplemented
648C2×C4×D4C24164yescomplemented
649C22×C4⋊C4—28no—
650C22×C4⋊C4—28no—
651C22×C4⋊C4—216no—
652C22×C4⋊C4—216no—
653C22×C4⋊C4—2192no—
654C22×C4⋊C4—28no—
655C22×C4⋊C4—216no—
656C22×C4⋊C4—28no—
657C22×C4⋊C4—216no—
658C22×C4⋊C4—216no—
659C22×C4⋊C4—216no—
660C22×C4⋊C4—28no—
661C22×C4⋊C4—28no—
662C22×C4⋊C4—2192no—
663C22×C4⋊C4—44no—
664C22×C4⋊C4—44no—
665C22×C4⋊C4C2×D4116yes—
666C22×C4⋊C4C2×D4116yescomplemented
667C22×C4⋊C4C24112yes—
668C22×C4⋊C4C24124yes—
669C22×C4⋊C4C24124yes—
670C22×C4⋊C4C24124yes—
671C22×C4⋊C4C24124yes—
672C22×C4⋊C4C24124yes—
673C22×C4⋊C4C24124yes—
674C22×C4⋊C4C24112yes—
675C22×C4⋊C4C24112yes—
676C22×C4⋊C4C24112yes—
677C22×C4⋊C4C24112yes—
678C22×C4⋊C4C24112yes—
679C22×C4⋊C4C24112yes—
680C22×C4⋊C4C24112yes—
681C22×C4⋊C4C24112yes—
682C22×C4⋊C4C24112yes—
683C22×C4⋊C4C24164yescomplemented
684C22×C4⋊C4C24164yescomplemented
685C22×C22⋊C4—216no—
686C22×C22⋊C4—28no—
687C22×C22⋊C4—216no—
688C22×C22⋊C4—28no—
689C22×C22⋊C4—216no—
690C22×C22⋊C4—216no—
691C22×C22⋊C4—216no—
692C22×C22⋊C4—216no—
693C22×C22⋊C4—216no—
694C22×C22⋊C4—216no—
695C22×C22⋊C4—216no—
696C22×C22⋊C4—216no—
697C22×C22⋊C4—216no—
698C22×C22⋊C4—28no—
699C22×C22⋊C4—216no—
700C22×C22⋊C4—216no—
701C22×C22⋊C4—28no—
702C22×C22⋊C4—216no—
703C22×C22⋊C4—216no—
704C22×C22⋊C4—2384no—
705C22×C22⋊C4—2384no—
706C22×C22⋊C4—48no—
707C22×C22⋊C4—48no—
708C22×C22⋊C4—48no—
709C22×C22⋊C4—48no—
710C22×C22⋊C4—4192no—
711C22×C22⋊C4—44no—
712C22×C22⋊C4—48no—
713C22×C22⋊C4—48no—
714C22×C22⋊C4—48no—
715C22×C22⋊C4—44no—
716C22×C22⋊C4—44no—
717C22×C22⋊C4—48no—
718C22×C22⋊C4—44no—
719C22×C22⋊C4—48no—
720C22×C22⋊C4C2×D4132yes—
721C22×C22⋊C4C2×D4116yescomplemented
722C22×C22⋊C4C2×D4116yescomplemented
723C22×C22⋊C4C24112yes—
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⋊C4C24112yes—
737C22×C22⋊C4C24124yes—
738C22×C22⋊C4C24124yes—
739C22×C22⋊C4C24112yes—
740C22×C22⋊C4C24124yes—
741C22×C22⋊C4C24112yes—
742C22×C22⋊C4C24112yes—
743C22×C22⋊C4C24112yes—
744C22×C22⋊C4C24124yes—
745C22×C22⋊C4C24124yes—
746C22×C22⋊C4C24124yes—
747C22×C22⋊C4C24124yes—
748C22×C22⋊C4C24124yes—
749C22×C22⋊C4C24124yes—
750C22×C22⋊C4C24124yes—
751C22×C22⋊C4C24124yes—
752C22×C22⋊C4C24112yes—
753C22×C22⋊C4C24112yes—
754C22×C22⋊C4C24124yes—
755C22×C22⋊C4C24124yes—
756C22×C22⋊C4C24112yes—
757C22×C22⋊C4C24112yes—
758C22×C22⋊C4C241128yescomplemented
759C22×C22⋊C4C241128yescomplemented
760C22×C22⋊C4C241128yescomplemented
761C22×C42—216no—
762C22×C42—28no—
763C22×C42—28no—
764C22×C42—28no—
765C22×C42—28no—
766C22×C42—496no—
767C22×C42—44no—
768C22×C42—44no—
769C22×C42C24112yes—
770C22×C42C24112yes—
771C22×C42C24112yes—
772C22×C42C24124yes—
773C22×C42C24112yes—
774C22×C42C24112yes—
775C22×C42C24112yes—
776C22×C42C24164yescomplemented
777#398C241128yescomplemented
778#397C241128yescomplemented
779#396C241128yescomplemented
780#396C241128yescomplemented
781#394C241128yescomplemented
782#394C241128yescomplemented
783#394C241128yescomplemented
784#394C241128yescomplemented
785#394C241128yescomplemented
786#394C241128yescomplemented
787#394C241128yescomplemented
788#393C241128yescomplemented
789#393C241128yescomplemented
790#392C241128yescomplemented
791#392C241128yescomplemented
792#392C241128yescomplemented
793#390C24164yes—
794#390C24164yes—
795#390C24164yes—
796#390C24164yescomplemented
797#390C24164yescomplemented
798#390C24164yescomplemented
799#390C24164yescomplemented
800#390C241128yescomplemented
801#390C24164yescomplemented
802#390C241128yescomplemented
803#389C24164yescomplemented
804#389C24164yescomplemented
805#389C24164yescomplemented
806#389C24164yescomplemented
807#388C241128yescomplemented
808#388C241128yescomplemented
809#388C24164yescomplemented
810#388C241128yescomplemented
811#388C24164yescomplemented
812#386C24164yes—
813#386C241128yescomplemented
814#386C241128yescomplemented
815#386C241128yescomplemented
816#386C24164yescomplemented
817#386C241128yescomplemented
818#386C241128yescomplemented
819#386C241128yescomplemented
820#386C241128yescomplemented
821#385C241128yescomplemented
822#385C241128yescomplemented
823#381C241128yescomplemented
824#380C24164yescomplemented
825#380C24164yescomplemented
826#380C24164yescomplemented
827#380C24164yescomplemented
828#379C241128yescomplemented
829#379C241128yescomplemented
830#379C241128yescomplemented
831C4×C4⋊C4C24164yescomplemented
832C4×C4⋊C4C24164yescomplemented
833C4×C22⋊C4C24164yescomplemented
834C4×C22⋊C4C24164yescomplemented
835C4×C22⋊C4C241128yescomplemented
836C2×#95C24124yes—
837C2×#95C24124yes—
838C2×#95C24124yes—
839C2×#95C24112yes—
840C2×#95C24112yes—
841C2×#95C24124yes—
842C2×#95C24124yes—
843C2×#95C24112yes—
844C2×#95C24112yes—
845C2×#95C24124yes—
846C2×#95C24124yes—
847C2×#95C24112yes—
848C2×#95C24112yes—
849C25—24no—
850C25—24no—
851C25—24no—
852C25—24no—
853C25—28no—
854C25—24no—
855C25—28no—
856C25—24no—
857C25—28no—
858C25—24no—
859C25—24no—
860C25—28no—
861C25—28no—
862C25—24no—
863C25—24no—
864C25—28no—
865C25—24no—
866C25—28no—
867C25—24no—
868C25—28no—
869C25—24no—
870C25—28no—
871C25—24no—
872C25—28no—
873C25—28no—
874C25—24no—
875C25—28no—
876C25—24no—
877C25—28no—
878C25—28no—
879C25—296no—
880C25—28no—
881C25—28no—
882C25—28no—
883C25—28no—
884C25—28no—
885C25—296no—
886C25—296no—
887C25—296no—
888C25—296no—
889C25—296no—
890C25—296no—
891C25—448no—
892C25—448no—
893C25—448no—
894C25—448no—
895C25—448no—
896C25—448no—
897C25—448no—
898C25—4128no—
899C25—4128no—
900C25—4128no—
901C25—4128no—
902C25—4128no—
903C25—4128no—
904C25—4128no—
905C25—864no—
906C25—864no—
907C25—864no—
908C25—864no—
909C25—864no—
910C25—864no—
911C25—864no—
912C25C22×D418yes—
913C25C22×D4116yes—
914C25C22×D418yes—
915C25C22×D418yes—
916C25C22×D418yes—
917C25C2×#41116yes—
918C25H(5,𝔽2)18yes—
919C25C25112yes—
920C25C2516yes—
921C25C25112yes—
922C25C2516yes—
923C25C25112yes—
924C25C25132yes—
925C25C2516yes—
926C25C25132yes—
927C25C2511yescharacteristic
928C2×#41—2512no—
929C2×#41—2512no—
930C2×#41—4256no—
931C2×#41—43072no—
932C22×Q8—296no—
933C22×Q8—296no—
934C22×Q8—448no—
935C22×Q8—4128no—
936C22×Q8C25132yes—
937C22×D4—2128no—
938C22×D4—2256no—
939C22×D4—2128no—
940C22×D4—248no—
941C22×D4—296no—
942C22×D4—248no—
943C22×D4—248no—
944C22×D4—296no—
945C22×D4—248no—
946C22×D4—296no—
947C22×D4—296no—
948C22×D4—296no—
949C22×D4—296no—
950C22×D4—296no—
951C22×D4—296no—
952C22×D4—296no—
953C22×D4—296no—
954C22×D4—296no—
955C22×D4—296no—
956C22×D4—296no—
957C22×D4—2512no—
958C22×D4—2256no—
959C22×D4—2512no—
960C22×D4—2256no—
961C22×D4—2256no—
962C22×D4—2128no—
963C22×D4—2128no—
964C22×D4—248no—
965C22×D4—296no—
966C22×D4—296no—
967C22×D4—296no—
968C22×D4—248no—
969C22×D4—2256no—
970C22×D4—248no—
971C22×D4—248no—
972C22×D4—248no—
973C22×D4—248no—
974C22×D4—248no—
975C22×D4—4128no—
976C22×D4—4128no—
977C22×D4—41536no—
978C22×D4—424no—
979C22×D4—448no—
980C22×D4—448no—
981C22×D4—448no—
982C22×D4—448no—
983C22×D4—464no—
984C22×D4—424no—
985C22×D4—448no—
986C22×D4—448no—
987C22×D4—4128no—
988C22×D4—4128no—
989C22×D4—4128no—
990C22×D4—448no—
991C22×D4—448no—
992C22×D4—448no—
993C22×D4—448no—
994C22×D4—4256no—
995C22×D4—43072no—
996C22×D4—41536no—
997C22×D4—4128no—
998C22×D4—4128no—
999C22×D4—4128no—
1000C22×D4—464no—
1001C22×D4—864no—
1002C22×D4—864no—
1003C22×D4C22×D4196yes—
1004C22×D4C22×D41192yes—
1005C22×D4C22×D4196yes—
1006C22×D4C22×D4196yescomplemented
1007C22×D4C22×D4196yescomplemented
1008C22×D4C2×#41196yescomplemented
1009C22×D4C25116yes—
1010C22×D4C25132yes—
1011C22×D4C25132yes—
1012C22×D4C25132yes—
1013C22×D4C25132yes—
1014C22×D4C25132yes—
1015C22×D4C25132yes—
1016C22×D4C25116yes—
1017C22×D4C25116yes—
1018C22×D4C25132yes—
1019C22×D4C25116yes—
1020C22×D4C25116yes—
1021C22×D4C25132yes—
1022C22×D4C25132yes—
1023C22×D4C25116yes—
1024C23×C4—24no—
1025C23×C4—28no—
1026C23×C4—24no—
1027C23×C4—24no—
1028C23×C4—24no—
1029C23×C4—24no—
1030C23×C4—24no—
1031C23×C4—24no—
1032C23×C4—28no—
1033C23×C4—24no—
1034C23×C4—24no—
1035C23×C4—24no—
1036C23×C4—2128no—
1037C23×C4—248no—
1038C23×C4—248no—
1039C23×C4—24no—
1040C23×C4—28no—
1041C23×C4—24no—
1042C23×C4—24no—
1043C23×C4—28no—
1044C23×C4—28no—
1045C23×C4—24no—
1046C23×C4—28no—
1047C23×C4—296no—
1048C23×C4—28no—
1049C23×C4—28no—
1050C23×C4—296no—
1051C23×C4—296no—
1052C23×C4—296no—
1053C23×C4—24no—
1054C23×C4—28no—
1055C23×C4—24no—
1056C23×C4—248no—
1057C23×C4—24no—
1058C23×C4—24no—
1059C23×C4—24no—
1060C23×C4—28no—
1061C23×C4—28no—
1062C23×C4—28no—
1063C23×C4—296no—
1064C23×C4—24no—
1065C23×C4—24no—
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—24no—
1070C23×C4—24no—
1071C23×C4—28no—
1072C23×C4—28no—
1073C23×C4—24no—
1074C23×C4—24no—
1075C23×C4—296no—
1076C23×C4—248no—
1077C23×C4—296no—
1078C23×C4—296no—
1079C23×C4—248no—
1080C23×C4—296no—
1081C23×C4—248no—
1082C23×C4—248no—
1083C23×C4—248no—
1084C23×C4—248no—
1085C23×C4—296no—
1086C23×C4—464no—
1087C23×C4—424no—
1088C23×C4—424no—
1089C23×C4—448no—
1090C23×C4—448no—
1091C23×C4—448no—
1092C23×C4—424no—
1093C23×C4—424no—
1094C23×C4—4128no—
1095C23×C4—448no—
1096C23×C4—448no—
1097C23×C4—4128no—
1098C23×C4—4128no—
1099C23×C4—464no—
1100C23×C4—4128no—
1101C23×C4—464no—
1102C23×C4—464no—
1103C23×C4—864no—
1104C23×C4C22×D418yes—
1105C23×C4C22×D418yes—
1106C23×C4C22×D418yes—
1107C23×C4C22×D418yes—
1108C23×C4C22×D4116yes—
1109C23×C4C22×D418yes—
1110C23×C4C22×D4196yes—
1111C23×C4C22×D418yes—
1112C23×C4C22×D4196yescomplemented
1113C23×C4C2×#4118yes—
1114C23×C4H(5,𝔽2)18yes—
1115C23×C4C2516yes—
1116C23×C4C2516yes—
1117C23×C4C2516yes—
1118C23×C4C2516yes—
1119C23×C4C25112yes—
1120C23×C4C25112yes—
1121C23×C4C25112yes—
1122C23×C4C25112yes—
1123C23×C4C2516yes—
1124C23×C4C2516yes—
1125C23×C4C25132yes—
1126C23×C4C25116yes—
1127C23×C4C25116yes—
1128C23×C4C25132yes—
1129C23×C4C25132yes—
1130C23×C4C25132yes—
1131C23×C4C2516yes—
1132C23×C4C2516yes—
1133C23×C4C2516yes—
1134C23×C4C2516yes—
1135C23×C4C25112yes—
1136C23×C4C2516yes—
1137C23×C4C25116yes—
1138C23×C4C25116yes—
1139C23×C4C25132yes—
1140C23×C4C25116yes—
1141C23×C4C2516yes—
1142C4⋊Q8—2256no—
1143#127—2256no—
1144#124—2512no—
1145#123—2512no—
1146#123—2512no—
1147#123—2512no—
1148#123—2512no—
1149C22⋊Q8—2512no—
1150C22⋊Q8—2512no—
1151#121—2256no—
1152#121—2512no—
1153#121—2256no—
1154#121—2256no—
1155#121—2512no—
1156#121—2512no—
1157#121—4128no—
1158#121C22×D41512yescomplemented
1159#121C22×D41512yescomplemented
1160#120—2512no—
1161#120—2512no—
1162#120—2512no—
1163#120—2512no—
1164C4×D4—2256no—
1165C4×D4—2256no—
1166C4×D4—2256no—
1167C4×D4—2512no—
1168C4×D4—2256no—
1169C4×D4—2512no—
1170C4×D4—4128no—
1171C4×D4—4128no—
1172C2×C4⋊C4—248no—
1173C2×C4⋊C4—248no—
1174C2×C4⋊C4—296no—
1175C2×C4⋊C4—296no—
1176C2×C4⋊C4—2256no—
1177C2×C4⋊C4—248no—
1178C2×C4⋊C4—296no—
1179C2×C4⋊C4—248no—
1180C2×C4⋊C4—296no—
1181C2×C4⋊C4—296no—
1182C2×C4⋊C4—296no—
1183C2×C4⋊C4—248no—
1184C2×C4⋊C4—248no—
1185C2×C4⋊C4—2256no—
1186C2×C4⋊C4—424no—
1187C2×C4⋊C4—424no—
1188C2×C4⋊C4C22×D4196yes—
1189C2×C4⋊C4C22×D4196yescomplemented
1190C2×C4⋊C4C25116yes—
1191C2×C4⋊C4C25116yes—
1192C2×C4⋊C4C25132yes—
1193C2×C4⋊C4C25132yes—
1194C2×C4⋊C4C25116yes—
1195C2×C4⋊C4C25132yes—
1196C2×C4⋊C4C25116yes—
1197C2×C4⋊C4C25116yes—
1198C2×C4⋊C4C25132yes—
1199C2×C4⋊C4C25116yes—
1200C2×C4⋊C4C25132yes—
1201C2×C4⋊C4C25132yes—
1202C2×C4⋊C4C25116yes—
1203C2×C4⋊C4C25116yes—
1204C2×C4⋊C4C25116yes—
1205C2×C4⋊C4C25116yes—
1206C2×C22⋊C4—296no—
1207C2×C22⋊C4—248no—
1208C2×C22⋊C4—296no—
1209C2×C22⋊C4—248no—
1210C2×C22⋊C4—296no—
1211C2×C22⋊C4—296no—
1212C2×C22⋊C4—296no—
1213C2×C22⋊C4—296no—
1214C2×C22⋊C4—296no—
1215C2×C22⋊C4—296no—
1216C2×C22⋊C4—296no—
1217C2×C22⋊C4—296no—
1218C2×C22⋊C4—296no—
1219C2×C22⋊C4—248no—
1220C2×C22⋊C4—296no—
1221C2×C22⋊C4—296no—
1222C2×C22⋊C4—248no—
1223C2×C22⋊C4—296no—
1224C2×C22⋊C4—296no—
1225C2×C22⋊C4—2512no—
1226C2×C22⋊C4—2512no—
1227C2×C22⋊C4—448no—
1228C2×C22⋊C4—448no—
1229C2×C22⋊C4—448no—
1230C2×C22⋊C4—448no—
1231C2×C22⋊C4—4256no—
1232C2×C22⋊C4—424no—
1233C2×C22⋊C4—448no—
1234C2×C22⋊C4—448no—
1235C2×C22⋊C4—448no—
1236C2×C22⋊C4—424no—
1237C2×C22⋊C4—424no—
1238C2×C22⋊C4—448no—
1239C2×C22⋊C4—424no—
1240C2×C22⋊C4—448no—
1241C2×C22⋊C4C22×D41192yes—
1242C2×C22⋊C4C22×D4196yescomplemented
1243C2×C22⋊C4C22×D4196yescomplemented
1244C2×C22⋊C4C25132yes—
1245C2×C22⋊C4C25132yes—
1246C2×C22⋊C4C25132yes—
1247C2×C22⋊C4C25132yes—
1248C2×C22⋊C4C25132yes—
1249C2×C22⋊C4C25132yes—
1250C2×C22⋊C4C25116yes—
1251C2×C22⋊C4C25132yes—
1252C2×C22⋊C4C25116yes—
1253C2×C22⋊C4C25132yes—
1254C2×C22⋊C4C25132yes—
1255C2×C22⋊C4C25116yes—
1256C2×C22⋊C4C25132yes—
1257C2×C22⋊C4C25116yes—
1258C2×C22⋊C4C25132yes—
1259C2×C22⋊C4C25132yes—
1260C2×C22⋊C4C25132yes—
1261C2×C22⋊C4C25132yes—
1262C2×C22⋊C4C25132yes—
1263C2×C22⋊C4C25132yes—
1264C2×C22⋊C4C25132yes—
1265C2×C22⋊C4C25132yes—
1266C2×C22⋊C4C25132yes—
1267C2×C22⋊C4C25116yes—
1268C2×C22⋊C4C25132yes—
1269C2×C22⋊C4C25116yes—
1270C2×C22⋊C4C25132yes—
1271C2×C22⋊C4C25116yes—
1272C2×C22⋊C4C25132yes—
1273C2×C22⋊C4C25116yes—
1274C2×C22⋊C4C25132yes—
1275C2×C22⋊C4C25132yes—
1276C2×C22⋊C4C25132yes—
1277C2×C22⋊C4C25116yes—
1278C2×C22⋊C4C25116yes—
1279C2×C42—296no—
1280C2×C42—248no—
1281C2×C42—248no—
1282C2×C42—248no—
1283C2×C42—248no—
1284C2×C42—4128no—
1285C2×C42—424no—
1286C2×C42—424no—
1287C2×C42C25116yes—
1288C2×C42C25132yes—
1289C2×C42C25116yes—
1290C2×C42C25116yes—
1291C2×C42C25116yes—
1292C2×C42C25116yes—
1293C2×C42C25116yes—
1294#95C25116yes—
1295#95C25116yes—
1296#95C25132yes—
1297#95C25116yes—
1298#95C25132yes—
1299#95C25116yes—
1300#95C25116yes—
1301#95C25132yes—
1302#95C25116yes—
1303#95C25132yes—
1304#95C25132yes—
1305#95C25132yes—
1306#95C25132yes—
1307C24—212no—
1308C24—212no—
1309C24—212no—
1310C24—212no—
1311C24—232no—
1312C24—232no—
1313C24—232no—
1314C24—232no—
1315C24—232no—
1316C24—232no—
1317C24—224no—
1318C24—212no—
1319C24—224no—
1320C24—212no—
1321C24—224no—
1322C24—212no—
1323C24—212no—
1324C24—224no—
1325C24—224no—
1326C24—212no—
1327C24—212no—
1328C24—224no—
1329C24—212no—
1330C24—224no—
1331C24—212no—
1332C24—224no—
1333C24—212no—
1334C24—224no—
1335C24—224no—
1336C24—212no—
1337C24—224no—
1338C24—212no—
1339C24—212no—
1340C24—224no—
1341C24—232no—
1342C24—264no—
1343C24—232no—
1344C24—264no—
1345C24—264no—
1346C24—232no—
1347C24—264no—
1348C24—232no—
1349C24—232no—
1350C24—232no—
1351C24—264no—
1352C24—264no—
1353C24—224no—
1354C24—224no—
1355C24—264no—
1356C24—224no—
1357C24—224no—
1358C24—224no—
1359C24—224no—
1360C24—224no—
1361C24—264no—
1362C24—264no—
1363C24—264no—
1364C24—264no—
1365C24—264no—
1366C24—264no—
1367C24—432no—
1368C24—432no—
1369C24—432no—
1370C24—432no—
1371C24—432no—
1372C24—432no—
1373C24—432no—
1374C24—4384no—
1375C24—4384no—
1376C24—4384no—
1377C24—4384no—
1378C24—4384no—
1379C24—4384no—
1380C24—432no—
1381C24—416no—
1382C24—416no—
1383C24—432no—
1384C24—432no—
1385C24—432no—
1386C24—416no—
1387C24—416no—
1388C24—432no—
1389C24—416no—
1390C24—432no—
1391C24—416no—
1392C24—416no—
1393C24—432no—
1394C24—432no—
1395C24—416no—
1396C24—4384no—
1397C24—432no—
1398C24—432no—
1399C24—432no—
1400C24—432no—
1401C24—432no—
1402C24—432no—
1403C24—432no—
1404C24—8192no—
1405C24—8192no—
1406C24—8192no—
1407C24—8192no—
1408C24—8192no—
1409C24—8192no—
1410C24—81024no—
1411C24—81024no—
1412C24—8192no—
1413C24D42164yes—
1414C24C23×D4124yes—
1415C24C23×D4148yes—
1416C24C23×D4124yes—
1417C24C23×D4124yes—
1418C24C23×D4124yes—
1419C24C23×D414yes—
1420C24C23×D414yes—
1421C24C22×#41148yes—
1422C24C22×#4114yes—
1423C24C2×H(5,𝔽2)124yes—
1424C24C2×H(5,𝔽2)14yes—
1425C24C2×H(5,𝔽2)14yes—
1426C24#58514yes—
1427C24#58514yes—
1428C24C2618yes—
1429C24C2614yes—
1430C24C2618yes—
1431C24C2614yes—
1432C24C2618yes—
1433C24C2614yes—
1434C24C2613yes—
1435#41—42048no—
1436C2×Q8—264no—
1437C2×Q8—264no—
1438C2×Q8—432no—
1439C2×Q8—4384no—
1440C2×D4—232no—
1441C2×D4—264no—
1442C2×D4—232no—
1443C2×D4—232no—
1444C2×D4—264no—
1445C2×D4—232no—
1446C2×D4—2384no—
1447C2×D4—2768no—
1448C2×D4—2384no—
1449C2×D4—264no—
1450C2×D4—264no—
1451C2×D4—264no—
1452C2×D4—264no—
1453C2×D4—264no—
1454C2×D4—264no—
1455C2×D4—264no—
1456C2×D4—264no—
1457C2×D4—264no—
1458C2×D4—264no—
1459C2×D4—264no—
1460C2×D4—232no—
1461C2×D4—264no—
1462C2×D4—264no—
1463C2×D4—264no—
1464C2×D4—232no—
1465C2×D4—232no—
1466C2×D4—232no—
1467C2×D4—232no—
1468C2×D4—232no—
1469C2×D4—232no—
1470C2×D4—2384no—
1471C2×D4—2384no—
1472C2×D4—41024no—
1473C2×D4—416no—
1474C2×D4—432no—
1475C2×D4—432no—
1476C2×D4—432no—
1477C2×D4—432no—
1478C2×D4—4192no—
1479C2×D4—416no—
1480C2×D4—432no—
1481C2×D4—432no—
1482C2×D4—4384no—
1483C2×D4—4384no—
1484C2×D4—4384no—
1485C2×D4—432no—
1486C2×D4—432no—
1487C2×D4—432no—
1488C2×D4—432no—
1489C2×D4—42048no—
1490C2×D4—41024no—
1491C2×D4—4384no—
1492C2×D4—4384no—
1493C2×D4—4384no—
1494C2×D4—4192no—
1495C2×D4—8192no—
1496C2×D4—8192no—
1497C2×D4C23×D4164yes—
1498C2×D4C23×D41128yes—
1499C2×D4C23×D4164yes—
1500C2×D4C23×D4164yescomplemented
1501C2×D4C23×D4164yescomplemented
1502C2×D4C22×#41164yescomplemented
1503C22×C4—212no—
1504C22×C4—224no—
1505C22×C4—212no—
1506C22×C4—212no—
1507C22×C4—212no—
1508C22×C4—212no—
1509C22×C4—212no—
1510C22×C4—212no—
1511C22×C4—224no—
1512C22×C4—212no—
1513C22×C4—212no—
1514C22×C4—212no—
1515C22×C4—232no—
1516C22×C4—264no—
1517C22×C4—232no—
1518C22×C4—232no—
1519C22×C4—232no—
1520C22×C4—232no—
1521C22×C4—232no—
1522C22×C4—232no—
1523C22×C4—2384no—
1524C22×C4—212no—
1525C22×C4—224no—
1526C22×C4—212no—
1527C22×C4—212no—
1528C22×C4—224no—
1529C22×C4—224no—
1530C22×C4—212no—
1531C22×C4—224no—
1532C22×C4—264no—
1533C22×C4—224no—
1534C22×C4—224no—
1535C22×C4—264no—
1536C22×C4—264no—
1537C22×C4—264no—
1538C22×C4—212no—
1539C22×C4—224no—
1540C22×C4—212no—
1541C22×C4—212no—
1542C22×C4—212no—
1543C22×C4—232no—
1544C22×C4—212no—
1545C22×C4—212no—
1546C22×C4—212no—
1547C22×C4—224no—
1548C22×C4—224no—
1549C22×C4—224no—
1550C22×C4—264no—
1551C22×C4—212no—
1552C22×C4—212no—
1553C22×C4—212no—
1554C22×C4—212no—
1555C22×C4—212no—
1556C22×C4—224no—
1557C22×C4—224no—
1558C22×C4—212no—
1559C22×C4—212no—
1560C22×C4—264no—
1561C22×C4—232no—
1562C22×C4—264no—
1563C22×C4—264no—
1564C22×C4—232no—
1565C22×C4—264no—
1566C22×C4—232no—
1567C22×C4—232no—
1568C22×C4—232no—
1569C22×C4—232no—
1570C22×C4—264no—
1571C22×C4—416no—
1572C22×C4—416no—
1573C22×C4—4192no—
1574C22×C4—416no—
1575C22×C4—416no—
1576C22×C4—432no—
1577C22×C4—432no—
1578C22×C4—432no—
1579C22×C4—4384no—
1580C22×C4—432no—
1581C22×C4—432no—
1582C22×C4—4384no—
1583C22×C4—4384no—
1584C22×C4—4192no—
1585C22×C4—432no—
1586C22×C4—432no—
1587C22×C4—4384no—
1588C22×C4—416no—
1589C22×C4—416no—
1590C22×C4—432no—
1591C22×C4—432no—
1592C22×C4—416no—
1593C22×C4—416no—
1594C22×C4—416no—
1595C22×C4—416no—
1596C22×C4—4192no—
1597C22×C4—4192no—
1598C22×C4—8192no—
1599C22×C4#546164yescomplemented
1600C22×C4C23×D4124yes—
1601C22×C4C23×D4124yes—
1602C22×C4C23×D4124yes—
1603C22×C4C23×D4124yes—
1604C22×C4C23×D4148yes—
1605C22×C4C23×D4124yes—
1606C22×C4C23×D4164yes—
1607C22×C4C23×D4124yes—
1608C22×C4C23×D4164yescomplemented
1609C22×C4C22×#41124yes—
1610C22×C4C2×H(5,𝔽2)124yes—
1611C22×C4C2614yes—
1612C22×C4C2614yes—
1613C22×C4C2614yes—
1614C22×C4C2614yes—
1615C22×C4C2618yes—
1616C22×C4C2618yes—
1617C22×C4C2614yes—
1618C22×C4C2614yes—
1619C22×C4C2618yes—
1620C22×C4C2618yes—
1621C22×C4C2614yes—
1622C22×C4C2614yes—
1623C22×C4C2614yes—
1624C22×C4C2618yes—
1625C22×C4C2614yes—
1626C22×C4C2614yes—
1627C22×C4C2614yes—
1628C4⋊C4—232no—
1629C4⋊C4—232no—
1630C4⋊C4—264no—
1631C4⋊C4—264no—
1632C4⋊C4—232no—
1633C4⋊C4—264no—
1634C4⋊C4—232no—
1635C4⋊C4—264no—
1636C4⋊C4—264no—
1637C4⋊C4—264no—
1638C4⋊C4—232no—
1639C4⋊C4—232no—
1640C4⋊C4—416no—
1641C4⋊C4—416no—
1642C4⋊C4C23×D4164yes—
1643C4⋊C4C23×D4164yescomplemented
1644C22⋊C4—264no—
1645C22⋊C4—232no—
1646C22⋊C4—264no—
1647C22⋊C4—232no—
1648C22⋊C4—264no—
1649C22⋊C4—264no—
1650C22⋊C4—264no—
1651C22⋊C4—264no—
1652C22⋊C4—264no—
1653C22⋊C4—264no—
1654C22⋊C4—264no—
1655C22⋊C4—264no—
1656C22⋊C4—264no—
1657C22⋊C4—232no—
1658C22⋊C4—264no—
1659C22⋊C4—264no—
1660C22⋊C4—232no—
1661C22⋊C4—264no—
1662C22⋊C4—264no—
1663C22⋊C4—432no—
1664C22⋊C4—432no—
1665C22⋊C4—432no—
1666C22⋊C4—432no—
1667C22⋊C4—416no—
1668C22⋊C4—432no—
1669C22⋊C4—432no—
1670C22⋊C4—432no—
1671C22⋊C4—416no—
1672C22⋊C4—416no—
1673C22⋊C4—432no—
1674C22⋊C4—416no—
1675C22⋊C4—432no—
1676C22⋊C4C23×D41128yes—
1677C22⋊C4C23×D4164yescomplemented
1678C22⋊C4C23×D4164yescomplemented
1679C42—264no—
1680C42—232no—
1681C42—232no—
1682C42—232no—
1683C42—232no—
1684C42—416no—
1685C42—416no—
1686C23—248no—
1687C23—248no—
1688C23—248no—
1689C23—24no—
1690C23—24no—
1691C23—24no—
1692C23—24no—
1693C23—2256no—
1694C23—248no—
1695C23—248no—
1696C23—248no—
1697C23—248no—
1698C23—248no—
1699C23—296no—
1700C23—296no—
1701C23—28no—
1702C23—24no—
1703C23—28no—
1704C23—24no—
1705C23—28no—
1706C23—24no—
1707C23—24no—
1708C23—28no—
1709C23—28no—
1710C23—24no—
1711C23—24no—
1712C23—28no—
1713C23—24no—
1714C23—28no—
1715C23—24no—
1716C23—28no—
1717C23—24no—
1718C23—28no—
1719C23—24no—
1720C23—28no—
1721C23—28no—
1722C23—24no—
1723C23—28no—
1724C23—24no—
1725C23—248no—
1726C23—296no—
1727C23—248no—
1728C23—296no—
1729C23—296no—
1730C23—248no—
1731C23—296no—
1732C23—248no—
1733C23—28no—
1734C23—28no—
1735C23—28no—
1736C23—28no—
1737C23—28no—
1738C23—28no—
1739C23—28no—
1740C23—4128no—
1741C23—4128no—
1742C23—4128no—
1743C23—4128no—
1744C23—4128no—
1745C23—4128no—
1746C23—448no—
1747C23—448no—
1748C23—424no—
1749C23—448no—
1750C23—424no—
1751C23—424no—
1752C23—424no—
1753C23—448no—
1754C23—4128no—
1755C23—4256no—
1756C23—4128no—
1757C23—4256no—
1758C23—448no—
1759C23—424no—
1760C23—424no—
1761C23—448no—
1762C23—424no—
1763C23—448no—
1764C23—448no—
1765C23—424no—
1766C23—448no—
1767C23—448no—
1768C23—448no—
1769C23—4128no—
1770C23—448no—
1771C23—448no—
1772C23—448no—
1773C23—448no—
1774C23—864no—
1775C23—864no—
1776C23—864no—
1777C23—864no—
1778C23—864no—
1779C23—864no—
1780C23—81536no—
1781C23—864no—
1782C23—81536no—
1783C23—8128no—
1784C23C2×D42196yes—
1785C23C2×D42116yes—
1786C23C2×#546116yes—
1787C23D4×#41116yes—
1788C23#3496116yes—
1789C23#3500116yes—
1790C23#3513116yes—
1791C23#3542116yes—
1792C23C24×D418yes—
1793C23C24×D4116yes—
1794C23C24×D418yes—
1795C23C24×D418yes—
1796C23C24×D418yes—
1797C23C24×D416yes—
1798C23C24×D416yes—
1799C23C23×#41116yes—
1800C23C23×#4116yes—
1801C23C22×H(5,𝔽2)18yes—
1802C23C22×H(5,𝔽2)16yes—
1803C23C22×H(5,𝔽2)16yes—
1804C23C2×#58516yes—
1805C23C2×#58516yes—
1806C23C2711yescharacteristic
1807Q8—4128no—
1808D4—2128no—
1809D4—2256no—
1810D4—2128no—
1811D4—2128no—
1812D4—2128no—
1813D4—464no—
1814D4—4128no—
1815D4—4128no—
1816D4—4128no—
1817D4—4128no—
1818D4—4128no—
1819D4—4128no—
1820D4—464no—
1821D4—864no—
1822D4—864no—
1823C2×C4—248no—
1824C2×C4—248no—
1825C2×C4—24no—
1826C2×C4—28no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—24no—
1833C2×C4—28no—
1834C2×C4—24no—
1835C2×C4—24no—
1836C2×C4—24no—
1837C2×C4—248no—
1838C2×C4—296no—
1839C2×C4—248no—
1840C2×C4—248no—
1841C2×C4—2128no—
1842C2×C4—24no—
1843C2×C4—28no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—28no—
1847C2×C4—28no—
1848C2×C4—24no—
1849C2×C4—28no—
1850C2×C4—28no—
1851C2×C4—28no—
1852C2×C4—24no—
1853C2×C4—28no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—24no—
1859C2×C4—24no—
1860C2×C4—28no—
1861C2×C4—28no—
1862C2×C4—28no—
1863C2×C4—24no—
1864C2×C4—24no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—24no—
1868C2×C4—28no—
1869C2×C4—28no—
1870C2×C4—24no—
1871C2×C4—24no—
1872C2×C4—464no—
1873C2×C4—4128no—
1874C2×C4—4128no—
1875C2×C4—4128no—
1876C2×C4—464no—
1877C2×C4—448no—
1878C2×C4—424no—
1879C2×C4—424no—
1880C2×C4—448no—
1881C2×C4—448no—
1882C2×C4—4128no—
1883C2×C4—424no—
1884C2×C4—424no—
1885C2×C4—448no—
1886C2×C4—424no—
1887C2×C4—424no—
1888C2×C4—464no—
1889C2×C4—464no—
1890C2×C4—864no—
1891C2×C4C2×#546196yescomplemented
1892C2×C4C24×D418yes—
1893C2×C4C24×D418yes—
1894C2×C4C24×D418yes—
1895C2×C4C24×D418yes—
1896C2×C4C24×D4116yes—
1897C2×C4C24×D418yes—
1898C2×C4C24×D418yes—
1899C2×C4C23×#4118yes—
1900C2×C4C22×H(5,𝔽2)18yes—
1901C22—28no—
1902C22—28no—
1903C22—28no—
1904C22—28no—
1905C22—28no—
1906C22—28no—
1907C22—2192no—
1908C22—28no—
1909C22—216no—
1910C22—28no—
1911C22—216no—
1912C22—216no—
1913C22—28no—
1914C22—216no—
1915C22—28no—
1916C22—28no—
1917C22—28no—
1918C22—216no—
1919C22—216no—
1920C22—44no—
1921C22—48no—
1922C22—48no—
1923C22—44no—
1924C22—48no—
1925C22—44no—
1926C22—44no—
1927C22—48no—
1928C22—48no—
1929C22—48no—
1930C22—44no—
1931C22—48no—
1932C22—44no—
1933C22—44no—
1934C22—44no—
1935C22—48no—
1936C22—496no—
1937C22—4192no—
1938C22—496no—
1939C22—4192no—
1940C22—48no—
1941C22—48no—
1942C22—48no—
1943C22—48no—
1944C22—48no—
1945C22—48no—
1946C22—48no—
1947C22—8256no—
1948C22—8256no—
1949C22—896no—
1950C22#59808164yesdirect product factor
1951C22C22×D42116yes—
1952C22C22×D42112yes—
1953C22C22×#546112yes—
1954C22C2×D4×#41112yes—
1955C22C2×#3542112yes—
1956C22C2×#3496112yes—
1957C22C2×#3513112yes—
1958C22C2×#3500112yes—
1959C22C25×D411yescharacteristic
1960C22C25×D411yescharacteristic
1961C22C24×#4111yescharacteristic
1962C22C23×H(5,𝔽2)11yescharacteristic
1963C22C23×H(5,𝔽2)11yescharacteristic
1964C22C22×#58511yescharacteristic
1965C22C22×#58511yescharacteristic
1966C4—28no—
1967C4—216no—
1968C4—28no—
1969C4—28no—
1970C4—28no—
1971C4—28no—
1972C4—44no—
1973C4—44no—
1974C4—48no—
1975C4—48no—
1976C4—44no—
1977C4—44no—
1978C4—48no—
1979C4—48no—
1980C4—44no—
1981C4—44no—
1982C4C22×#546116yescomplemented
1983C2—216no—
1984C2—48no—
1985C2—416no—
1986C2—48no—
1987C2—416no—
1988C2—88no—
1989C2C2×#59808124yesdirect product factor
1990C2C23×D4211yescharacteristic
1991C2C23×#54611yescharacteristic
1992C2C22×D4×#4111yescharacteristic
1993C2C22×#349611yescharacteristic
1994C2C22×#351311yescharacteristic
1995C2C22×#350011yescharacteristic
1996C2C22×#354211yescharacteristic
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×#547C2semidirect
2. C23×#546C2semidirect
3. C23×D42C2semidirect
4. C2×#59808C2direct (N × H)
5. C22×#2681C2semidirect
6. C22×#2678C2semidirect
7. C22×#2534C2semidirect
8. C22×#2491C2semidirect
9. C22×#2486C2semidirect
10. C22×#2404C2semidirect
11. C22×#2452C2semidirect
12. C22×#2445C2semidirect
13. C22×#2428C2semidirect
14. C22×#2464C2semidirect
15. C22×#2416C2semidirect
16. C22×#2408C2semidirect
17. C22×#2408C2semidirect
18. C22×#2472C2semidirect
19. C22×#2405C2semidirect
20. C22×#2361C2semidirect
21. C22×D4×C22⋊C4C2semidirect
22. C22×C4×#121C2semidirect
23. C22×C4×#121C2semidirect
24. C23×#390C2semidirect
25. C24×#41C22semidirect
30. C22×#547C22semidirect
32. C22×#546C22semidirect
34. C22×D42C22semidirect
35. C23×C4⋊Q8C22semidirect
37. C23×#124C22semidirect
39. C23×#123C22semidirect
40. C23×#123C22semidirect
41. C23×#123C22semidirect
42. C23×C22⋊Q8C22semidirect
43. C23×C22⋊Q8C22semidirect
49. C23×#121C22semidirect
50. C23×#121C22semidirect
51. C23×#121C22semidirect
52. C23×#121C22semidirect
55. C23×#120C22semidirect
56. C23×#120C22semidirect
59. C23×C4×D4C22semidirect
60. C23×C4×D4C22semidirect
61. C23×C4×D4C22semidirect
62. C23×C4×D4C22semidirect
63. C23×C4×D4C22semidirect
64. C23×C4×D4C22semidirect
65. C24×C4⋊C4C22semidirect
66. C24×C4⋊C4C22semidirect
67. C24×C22⋊C4C22semidirect
68. C24×C22⋊C4C22semidirect
69. C24×C22⋊C4C22semidirect
70. C24×C42C22semidirect
71. #59808C22direct (N × H)
72. C2×#2681C22semidirect
73. C2×#2678C22semidirect
74. C2×#2534C22semidirect
75. C2×#2491C22semidirect
76. C2×#2486C22semidirect
77. C2×#2404C22semidirect
78. C2×#2452C22semidirect
79. C2×#2445C22semidirect
80. C2×#2428C22semidirect
81. C2×#2464C22semidirect
82. C2×#2416C22semidirect
83. C2×#2408C22semidirect
84. C2×#2408C22semidirect
85. C2×#2472C22semidirect
86. C2×#2405C22semidirect
87. C22×#398C22semidirect
88. C22×#397C22semidirect
89. C22×#396C22semidirect
90. C22×#396C22semidirect
91. C22×#394C22semidirect
92. C22×#394C22semidirect
93. C22×#394C22semidirect
94. C22×#394C22semidirect
95. C22×#394C22semidirect
96. C22×#394C22semidirect
97. C22×#394C22semidirect
98. C22×#393C22semidirect
99. C22×#393C22semidirect
100. C22×#392C22semidirect
101. C22×#392C22semidirect
102. C22×#392C22semidirect
103. C2×#2361C22semidirect
104. C2×D4×C22⋊C4C22semidirect
105. C2×C4×#121C22semidirect
106. C2×C4×#121C22semidirect
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×#389C22semidirect
119. C22×#389C22semidirect
120. C22×#389C22semidirect
121. C22×#389C22semidirect
122. C22×#388C22semidirect
123. C22×#388C22semidirect
124. C22×#388C22semidirect
125. C22×#388C22semidirect
126. C22×#388C22semidirect
128. C22×#386C22semidirect
129. C22×#386C22semidirect
130. C22×#386C22semidirect
131. C22×#386C22semidirect
132. C22×#386C22semidirect
133. C22×#386C22semidirect
134. C22×#386C22semidirect
135. C22×#386C22semidirect
136. C22×#385C22semidirect
137. C22×#385C22semidirect
138. C22×#381C22semidirect
139. C22×#380C22semidirect
140. C22×#380C22semidirect
141. C22×#380C22semidirect
142. C22×#380C22semidirect
143. C22×#379C22semidirect
144. C22×#379C22semidirect
145. C22×#379C22semidirect
146. C22×C4×C4⋊C4C22semidirect
147. C22×C4×C4⋊C4C22semidirect
148. C22×C4×C22⋊C4C22semidirect
149. C22×C4×C22⋊C4C22semidirect
150. C22×C4×C22⋊C4C22semidirect
156. C23×#41C23semidirect
196. C2×#547C23semidirect
198. C2×#546C23semidirect
200. C2×D42C23semidirect
202. C22×C4⋊Q8C23semidirect
206. C22×#124C23semidirect
212. C22×#123C23semidirect
213. C22×#123C23semidirect
214. C22×#123C23semidirect
217. C22×C22⋊Q8C23semidirect
218. C22×C22⋊Q8C23semidirect
226. C22×#121D4semidirect
227. C22×#121D4semidirect
233. C22×#121C23semidirect
234. C22×#121C23semidirect
235. C22×#121C23semidirect
236. C22×#121C23semidirect
243. C22×#120C23semidirect
244. C22×#120C23semidirect
255. C22×C4×D4C23semidirect
256. C22×C4×D4C23semidirect
257. C22×C4×D4C23semidirect
258. C22×C4×D4C23semidirect
259. C22×C4×D4C23semidirect
260. C22×C4×D4C23semidirect
279. C23×C4⋊C4C23semidirect
280. C23×C4⋊C4C23semidirect
319. C23×C22⋊C4C23semidirect
320. C23×C22⋊C4C23semidirect
321. C23×C22⋊C4C23semidirect
330. C23×C42C23semidirect
331. #2681C23semidirect
332. #2678C23semidirect
333. #2534C23semidirect
334. #2491C23semidirect
335. #2486C23semidirect
336. #2472C23semidirect
337. #2464C23semidirect
338. #2452C23semidirect
339. #2445C23semidirect
340. #2428C23semidirect
341. #2416C23semidirect
342. #2408C23semidirect
343. #2408C23semidirect
344. #2405C23semidirect
345. #2404C23semidirect
346. C2×#398C23semidirect
347. C2×#397C23semidirect
348. C2×#396C23semidirect
349. C2×#396C23semidirect
350. C2×#394C23semidirect
351. C2×#394C23semidirect
352. C2×#394C23semidirect
353. C2×#394C23semidirect
354. C2×#394C23semidirect
355. C2×#394C23semidirect
356. C2×#394C23semidirect
357. C2×#393C23semidirect
358. C2×#393C23semidirect
359. C2×#392C23semidirect
360. C2×#392C23semidirect
361. C2×#392C23semidirect
362. #2361C23semidirect
363. D4×C22⋊C4C23semidirect
364. C4×#121C23semidirect
365. C4×#121C23semidirect
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×#389C23semidirect
378. C2×#389C23semidirect
379. C2×#389C23semidirect
380. C2×#389C23semidirect
381. C2×#388C23semidirect
382. C2×#388C23semidirect
383. C2×#388C23semidirect
384. C2×#388C23semidirect
385. C2×#388C23semidirect
387. C2×#386C23semidirect
388. C2×#386C23semidirect
389. C2×#386C23semidirect
390. C2×#386C23semidirect
391. C2×#386C23semidirect
392. C2×#386C23semidirect
393. C2×#386C23semidirect
394. C2×#386C23semidirect
395. C2×#385C23semidirect
396. C2×#385C23semidirect
397. C2×#381C23semidirect
398. C2×#380C23semidirect
399. C2×#380C23semidirect
400. C2×#380C23semidirect
401. C2×#380C23semidirect
402. C2×#379C23semidirect
403. C2×#379C23semidirect
404. C2×#379C23semidirect
405. C2×C4×C4⋊C4C23semidirect
406. C2×C4×C4⋊C4C23semidirect
407. C2×C4×C22⋊C4C23semidirect
408. C2×C4×C22⋊C4C23semidirect
409. C2×C4×C22⋊C4C23semidirect
449. C22×#41C24semidirect
508. C23×D4C2×D4semidirect
509. C23×D4C2×D4semidirect
510. C23×D4#41semidirect
558. C24×C4C2×D4semidirect
590. C2×C4⋊Q8C24semidirect
594. C2×#124C24semidirect
600. C2×#123C24semidirect
601. C2×#123C24semidirect
602. C2×#123C24semidirect
605. C2×C22⋊Q8C24semidirect
606. C2×C22⋊Q8C24semidirect
614. C2×#121C2×D4semidirect
615. C2×#121C2×D4semidirect
621. C2×#121C24semidirect
622. C2×#121C24semidirect
623. C2×#121C24semidirect
624. C2×#121C24semidirect
631. C2×#120C24semidirect
632. C2×#120C24semidirect
643. C2×C4×D4C24semidirect
644. C2×C4×D4C24semidirect
645. C2×C4×D4C24semidirect
646. C2×C4×D4C24semidirect
647. C2×C4×D4C24semidirect
648. C2×C4×D4C24semidirect
666. C22×C4⋊C4C2×D4semidirect
683. C22×C4⋊C4C24semidirect
684. C22×C4⋊C4C24semidirect
721. C22×C22⋊C4C2×D4semidirect
722. C22×C22⋊C4C2×D4semidirect
758. C22×C22⋊C4C24semidirect
759. C22×C22⋊C4C24semidirect
760. C22×C22⋊C4C24semidirect
776. C22×C42C24semidirect
777. #398C24semidirect
778. #397C24semidirect
779. #396C24semidirect
780. #396C24semidirect
781. #394C24semidirect
782. #394C24semidirect
783. #394C24semidirect
784. #394C24semidirect
785. #394C24semidirect
786. #394C24semidirect
787. #394C24semidirect
788. #393C24semidirect
789. #393C24semidirect
790. #392C24semidirect
791. #392C24semidirect
792. #392C24semidirect
796. #390C24semidirect
797. #390C24semidirect
798. #390C24semidirect
799. #390C24semidirect
800. #390C24semidirect
801. #390C24semidirect
802. #390C24semidirect
803. #389C24semidirect
804. #389C24semidirect
805. #389C24semidirect
806. #389C24semidirect
807. #388C24semidirect
808. #388C24semidirect
809. #388C24semidirect
810. #388C24semidirect
811. #388C24semidirect
813. #386C24semidirect
814. #386C24semidirect
815. #386C24semidirect
816. #386C24semidirect
817. #386C24semidirect
818. #386C24semidirect
819. #386C24semidirect
820. #386C24semidirect
821. #385C24semidirect
822. #385C24semidirect
823. #381C24semidirect
824. #380C24semidirect
825. #380C24semidirect
826. #380C24semidirect
827. #380C24semidirect
828. #379C24semidirect
829. #379C24semidirect
830. #379C24semidirect
831. C4×C4⋊C4C24semidirect
832. C4×C4⋊C4C24semidirect
833. C4×C22⋊C4C24semidirect
834. C4×C22⋊C4C24semidirect
835. C4×C22⋊C4C24semidirect
1006. C22×D4C22×D4semidirect
1007. C22×D4C22×D4semidirect
1008. C22×D4C2×#41semidirect
1112. C23×C4C22×D4semidirect
1158. #121C22×D4semidirect
1159. #121C22×D4semidirect
1189. C2×C4⋊C4C22×D4semidirect
1242. C2×C22⋊C4C22×D4semidirect
1243. C2×C22⋊C4C22×D4semidirect
1500. C2×D4C23×D4semidirect
1501. C2×D4C23×D4semidirect
1502. C2×D4C22×#41semidirect
1599. C22×C4#546semidirect
1608. C22×C4C23×D4semidirect
1643. C4⋊C4C23×D4semidirect
1677. C22⋊C4C23×D4semidirect
1678. C22⋊C4C23×D4semidirect
1891. C2×C4C2×#546semidirect
1950. C22#59808direct (N × H)
1982. C4C22×#546semidirect
1989. C2C2×#59808direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5472
C23×#5462
C23×D422
C2×#598082
C22×#26812
C22×#26782
C22×#25342
C22×#24912
C22×#24862
C22×#24042
C22×#24522
C22×#24452
C22×#24282
C22×#24642
C22×#24162
C22×#24082
C22×#24722
C22×#24052
C22×#23612
C22×D4×C22⋊C42
C22×C4×#1212
C23×#3902