Finite Group Databasebeta

← C2×#19148751 #26003721

Subgroups — C2×#19148751 #26003721

Order 11008.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148751C2132yesmaximal, direct product factor
2C2×#14583641C211yesmaximal, characteristic, complemented
3C2×#14583640C212yesmaximal, complemented
4C2×#14583639C211yesmaximal, characteristic, complemented
5C2×#14583573C212yesmaximal, complemented
6C2×#14583541C212yesmaximal, complemented
7C2×#14583540C212yesmaximal, complemented
8C2×#14583539C212yesmaximal, complemented
9C2×D4×D172C212yesmaximal, complemented
10C2×#14583531C211yesmaximal, characteristic, complemented
11C2×#14583489C212yesmaximal, complemented
12C2×#14583488C212yesmaximal, complemented
13C2×#14583482C212yesmaximal, complemented
14C2×#14583468C212yesmaximal, complemented
15C2×#14583467C211yesmaximal, characteristic, complemented
16C2×#14583460C211yesmaximal, characteristic, complemented
17C2×#14583460C212yesmaximal, complemented
18C22×#13063295C212yesmaximal, complemented
19C2×#120×D43C211yesmaximal, characteristic, complemented
20C2×C43×#551C211yesmaximal, characteristic, complemented
21C25×D43C2211yescharacteristic, complemented
22C22×#10621902C2211yescharacteristic, complemented
23C22×#10621898C2212yescomplemented
24C23×D172C2212yescomplemented
25C23×D172C2212yescomplemented
26C23×D172C2211yescharacteristic, complemented
27C23×C22⋊D43C2212yescomplemented
28C22×D4×D43C2212yescomplemented
29C22×D4×D43C2211yescharacteristic, complemented
30C22×D4×D43C2212yescomplemented
31#14583641C22116yescomplemented
32#14583640C22132yescomplemented
33#14583639C22116yescomplemented
34#14583573C22132yescomplemented
35#14583541C22132yescomplemented
36#14583540C22132yescomplemented
37#14583539C22132yescomplemented
38D4×D172C22132yescomplemented
39#14583531C22116yescomplemented
40#14583489C22132yescomplemented
41#14583488C22132yescomplemented
42#14583482C22132yescomplemented
43#14583468C22132yescomplemented
44#14583467C22116yescomplemented
45#14583460C22116yescomplemented
46#14583460C22132yescomplemented
47C2×#13063322C2212yescomplemented
48C2×#13063322C2211yescharacteristic, complemented
49C2×#13063321C2211yescharacteristic, complemented
50C2×#13063320C2212yescomplemented
51C2×#13063320C2212yescomplemented
52C2×#13063319C2212yescomplemented
53C2×#13063314C2212yescomplemented
54C2×#13063314C2211yescharacteristic, complemented
55C2×#13063313C2212yescomplemented
56C2×#13063313C2212yescomplemented
57C2×#13063311C2212yescomplemented
58C2×#13063311C2212yescomplemented
59C2×#13063310C2212yescomplemented
60C2×#13063310C2212yescomplemented
61C2×#13063310C2212yescomplemented
62C2×#13063310C2212yescomplemented
63C2×#13063310C2212yescomplemented
64C2×#13063308C2212yescomplemented
65C2×#13063308C2211yescharacteristic, complemented
66C2×#13063307C2212yescomplemented
67C2×#13063303C2212yescomplemented
68C2×#13063302C2212yescomplemented
69C2×#13063300C2212yescomplemented
70C2×#13063300C2212yescomplemented
71C2×#13063300C2212yescomplemented
72C2×#13063300C2212yescomplemented
73C2×#13063300C2212yescomplemented
74C2×#13063300C2212yescomplemented
75C2×#13063300C2212yescomplemented
76C2×#13063299C2212yescomplemented
77C2×#13063299C2212yescomplemented
78C2×#13063298C2212yescomplemented
79C2×#13063298C2212yescomplemented
80C2×#13063298C2212yescomplemented
81C2×#13063298C2212yescomplemented
82C2×#13063298C2212yescomplemented
83C2×#13063297C2212yescomplemented
84C2×#13063295C2212yes—
85C2×#13063295C2212yescomplemented
86C2×#13063295C2212yescomplemented
87C2×#13063295C2211yescharacteristic, complemented
88C2×#13063295C2212yescomplemented
89C2×#13063295C2212yescomplemented
90C2×#13063295C2212yescomplemented
91C2×#13063295C2212yescomplemented
92C2×#13063295C2212yescomplemented
93C2×#13063295C2212yescomplemented
94C2×#13063295C2212yescomplemented
95C2×#13063295C2212yescomplemented
96C2×#13063295C2212yescomplemented
97C2×#13063295C22132yescomplemented
98C2×#13063295C2212yescomplemented
99C2×#13063295C2211yescharacteristic, complemented
100C2×#13063294C2211yescharacteristic, complemented
101C2×#13063293C2212yescomplemented
102C2×#13063293C2211yescharacteristic, complemented
103C2×#13063293C2211yescharacteristic, complemented
104#120×D43C22116yescomplemented
105C2×C4×D172C2212yescomplemented
106C2×#13063287C2212yescomplemented
107C2×C4×C22⋊D43C2212yescomplemented
108C2×(C22⋊D43)⋊C4C2212yescomplemented
109C2×(C22⋊D43)⋊C4C2212yescomplemented
110C2×#13063282C2211yescharacteristic, complemented
111C22×(C2×D43)⋊C4C2212yescomplemented
112C22×(C2×D43)⋊C4C2212yescomplemented
113C2×C22⋊C4×D43C2212yescomplemented
114C2×C22⋊C4×D43C2211yescharacteristic, complemented
115C2×C22⋊C4×D43C2212yescomplemented
116C2×C22⋊C4×D43C2211yescharacteristic, complemented
117C43×#551C22116yescomplemented
118C2×#126×C43C2212yescomplemented
119C2×#124×C43C2211yescharacteristic, complemented
120C2×#123×C43C2211yescharacteristic, complemented
121C2×#123×C43C2212yescomplemented
122C2×C22⋊Q8×C43C2212yescomplemented
123C2×#120×C43C2211yescharacteristic
124C2×C4×D4×C43C2212yescomplemented
125C2×#117×C43C2212yescomplemented
126C22×C22⋊C4×C43C2212yescomplemented
127C24×D43—44no—
128C24×D43—48no—
129C24×D43C2312yes—
130C24×D43C2311yescharacteristic
131C24×D43C2311yescharacteristic
132C24×D43C2312yes—
133C24×D43C2312yes—
134C24×D43C2311yescharacteristic
135C24×D43C2318yescomplemented
136C24×D43C2311yescharacteristic, complemented
137C2×#10621902—44no—
138C2×#10621902C2318yescomplemented
139C2×#10621898—48no—
140C2×#10621898C23116yescomplemented
141C22×Dic86C2312yescomplemented
142C22×D172—44no—
143C22×D172—48no—
144C22×D172—48no—
145C22×D172C2312yes—
146C22×D172C2312yes—
147C22×D172C2312yes—
148C22×D172C2312yes—
149C22×D172C2312yes—
150C22×D172C2312yes—
151C22×D172C2312yes—
152C22×D172C2312yes—
153C22×D172C2312yes—
154C22×D172C2311yescharacteristic
155C22×D172C23116yescomplemented
156C22×D172C23116yescomplemented
157C22×D172C2318yescomplemented
158C22×D172C2312yescomplemented
159C22×D172C2311yescharacteristic, complemented
160C22×D172C2312yescomplemented
161C22×D172C2312yescomplemented
162C22×C22⋊D43—48no—
163C22×C22⋊D43C2312yes—
164C22×C22⋊D43C2312yes—
165C22×C22⋊D43C2312yes—
166C22×C22⋊D43C2311yescharacteristic
167C22×C22⋊D43C2312yes—
168C22×C22⋊D43C2312yes—
169C22×C22⋊D43C2311yescharacteristic
170C22×C22⋊D43C2312yes—
171C22×C22⋊D43C23116yescomplemented
172C22×C22⋊D43C2312yescomplemented
173C2×D4×D43—44no—
174C2×D4×D43—48no—
175C2×D4×D43—48no—
176C2×D4×D43C2318yescomplemented
177C2×D4×D43C23116yescomplemented
178C2×D4×D43C23116yescomplemented
179C23×Dic43C2312yes—
180C22×C4×D43C2311yescharacteristic
181C22×C4×D43C2312yes—
182C22×C4×D43C2312yescomplemented
183C22×C4×D43C2312yescomplemented
184C22×C4×D43C2312yescomplemented
185C22×C4×D43C2312yescomplemented
186#13063322C23116yescomplemented
187#13063322C2318yescomplemented
188#13063321C2318yescomplemented
189#13063320C23116yescomplemented
190#13063320C23116yescomplemented
191#13063319C23116yescomplemented
192#13063314C23116yescomplemented
193#13063314C2318yescomplemented
194#13063313C23116yescomplemented
195#13063313C23116yescomplemented
196#13063311C23116yescomplemented
197#13063311C23116yescomplemented
198#13063310C23116yescomplemented
199#13063310C23116yescomplemented
200#13063310C23116yescomplemented
201#13063310C23116yescomplemented
202#13063310C23116yescomplemented
203#13063308C2318yescomplemented
204#13063308C23116yescomplemented
205#13063307C23116yescomplemented
206#13063303C23116yescomplemented
207#13063302C23116yescomplemented
208#13063300C23116yescomplemented
209#13063300C23116yescomplemented
210#13063300C23116yescomplemented
211#13063300C23116yescomplemented
212#13063300C23116yescomplemented
213#13063300C23116yescomplemented
214#13063300C23116yescomplemented
215#13063299C23116yescomplemented
216#13063299C23116yescomplemented
217#13063298C23116yescomplemented
218#13063298C23116yescomplemented
219#13063298C23116yescomplemented
220#13063298C23116yescomplemented
221#13063298C23116yescomplemented
222#13063297C23116yescomplemented
223#13063295C23116yes—
224#13063295C2318yescomplemented
225#13063295C23116yescomplemented
226#13063295C23116yescomplemented
227#13063295C23116yescomplemented
228#13063295C23116yescomplemented
229#13063295C23116yescomplemented
230#13063295C23116yescomplemented
231#13063295C23116yescomplemented
232#13063295C23116yescomplemented
233#13063295C23116yescomplemented
234#13063295C23116yescomplemented
235#13063295C23116yescomplemented
236#13063295C23116yescomplemented
237#13063295C2318yescomplemented
238#13063294C2318yescomplemented
239#13063293C2318yescomplemented
240#13063293C23116yescomplemented
241#13063293C2318yescomplemented
242C4×D172C23116yescomplemented
243#13063287C23116yescomplemented
244C4×C22⋊D43C23116yescomplemented
245(C22⋊D43)⋊C4C23116yescomplemented
246(C22⋊D43)⋊C4C23116yescomplemented
247#13063282C2318yescomplemented
248C2×C4⋊Dic43C2312yescomplemented
249C2×Dic43⋊C4C2312yescomplemented
250C2×Dic43⋊C4C2312yescomplemented
251C2×Dic43⋊C4C2312yescomplemented
252C2×Dic43⋊C4C2312yescomplemented
253C2×C22⋊Dic43C2312yes—
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic, complemented
256C2×(C2×D43)⋊C4C2312yes—
257C2×(C2×D43)⋊C4C2312yes—
258C2×(C2×D43)⋊C4C2312yes—
259C2×(C2×D43)⋊C4C2312yes—
260C2×(C2×D43)⋊C4C2312yes—
261C2×(C2×D43)⋊C4C2312yes—
262C2×(C2×D43)⋊C4C2312yes—
263C2×(C2×D43)⋊C4C2312yes—
264C2×(C2×D43)⋊C4C2312yes—
265C2×(C2×D43)⋊C4C2312yes—
266C2×(C2×D43)⋊C4C2312yes—
267C2×(C2×D43)⋊C4C23116yescomplemented
268C2×(C2×D43)⋊C4C23116yescomplemented
269C2×(C2×D43)⋊C4C2312yescomplemented
270C2×(C2×D43)⋊C4C2312yescomplemented
271C2×(C2×D43)⋊C4C2312yescomplemented
272C2×(C2×D43)⋊C4C2312yescomplemented
273C2×(C2×D43)⋊C4C2312yescomplemented
274C2×(C2×D43)⋊C4C2312yescomplemented
275C2×(C2×D43)⋊C4C2312yescomplemented
276C22⋊C4×D43C23116yescomplemented
277C22⋊C4×D43C2318yescomplemented
278C22⋊C4×D43C2318yescomplemented
279C22⋊C4×D43C23116yescomplemented
280C2×C4×Dic43C2311yescharacteristic, complemented
281C2×C4×Dic43C2312yescomplemented
282C25×C43C2311yescharacteristic
283C22×Q8×C43C2311yescharacteristic, complemented
284C22×D4×C43C2312yes—
285C22×D4×C43C2311yescharacteristic
286C23×C4×C43C2312yes—
287C23×C4×C43C2312yes—
288C23×C4×C43C2311yescharacteristic, complemented
289#126×C43C23116yescomplemented
290#124×C43C2318yescomplemented
291#123×C43C2318yescomplemented
292#123×C43C23116yescomplemented
293C22⋊Q8×C43C23116yescomplemented
294#120×C43C2318yes—
295C4×D4×C43C23116yescomplemented
296#117×C43C23116yescomplemented
297C2×C4⋊C4×C43C2312yescomplemented
298C2×C4⋊C4×C43C2312yescomplemented
299C2×C4⋊C4×C43C2312yescomplemented
300C2×C4⋊C4×C43C2312yescomplemented
301C2×C22⋊C4×C43C2312yes—
302C2×C22⋊C4×C43C2312yes—
303C2×C22⋊C4×C43C2312yes—
304C2×C22⋊C4×C43C2312yes—
305C2×C22⋊C4×C43C2312yes—
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C23116yescomplemented
308C2×C22⋊C4×C43C2312yescomplemented
309C2×C22⋊C4×C43C2311yescharacteristic, complemented
310C2×C42×C43C2311yescharacteristic, complemented
311C2×C42×C43C2312yescomplemented
312C24×C43—28no—
313C24×C43—42no—
314C24×C43C2411yescharacteristic
315C24×C43C2411yescharacteristic
316C24×C43C2414yes—
317C24×C43C2412yes—
318C23×D43—28no—
319C23×D43—28no—
320C23×D43—28no—
321C23×D43—24no—
322C23×D43—28no—
323C23×D43—24no—
324C23×D43—416no—
325C23×D43—44no—
326C23×D43—44no—
327C23×D43—42no—
328C23×D43—44no—
329C23×D43—44no—
330C23×D43—44no—
331C23×D43—432no—
332C23×D43—44no—
333C23×D43—44no—
334C23×D43—44no—
335C23×D43—44no—
336C23×D43—42no—
337C23×D43—464no—
338C23×D43C2412yes—
339C23×D43C2411yescharacteristic
340C23×D43C2412yes—
341C23×D43C2411yescharacteristic
342C23×D43C2412yes—
343C23×D43C2418yes—
344C23×D43C2411yescharacteristic
345C23×D43C2414yes—
346C23×D43C2414yes—
347C23×D43C2418yes—
348C23×D43C2418yes—
349C23×D43C2414yes—
350C23×D43C2414yescomplemented
351C2×Q8×C43—42no—
352C2×Q8×C43C2414yescomplemented
353C2×D4×C43—28no—
354C2×D4×C43—42no—
355C2×D4×C43C2418yes—
356C2×D4×C43C2414yes—
357C22×C4×C43—28no—
358C22×C4×C43—44no—
359C22×C4×C43—42no—
360C22×C4×C43C2412yes—
361C22×C4×C43C2412yes—
362C22×C4×C43C2412yes—
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2412yes—
365C22×C4×C43C2412yes—
366C22×C4×C43C2418yes—
367C22×C4×C43C2418yes—
368C22×C4×C43C2414yescomplemented
369C2×C22⋊D43—28no—
370C2×C22⋊D43—28no—
371C2×C22⋊D43—28no—
372C2×C22⋊D43—42no—
373C2×C22⋊D43—44no—
374C2×C22⋊D43—42no—
375C2×C22⋊D43—44no—
376C2×C22⋊D43—44no—
377C2×C22⋊D43—44no—
378C2×C22⋊D43—432no—
379C2×C22⋊D43C2418yes—
380C2×C22⋊D43C2418yes—
381C2×C22⋊D43C2418yes—
382C2×C22⋊D43C2414yes—
383C2×C22⋊D43C2418yes—
384C2×C22⋊D43C2418yes—
385C2×C22⋊D43C2414yes—
386C2×C22⋊D43C2418yes—
387C2×C22⋊D43C2418yescomplemented
388C22×Dic43—44no—
389C22×Dic43C2412yes—
390C22×Dic43C2412yes—
391C22×Dic43C2412yes—
392C22×Dic43C2411yescharacteristic
393C22×Dic43C2418yes—
394#10621902—416no—
395D4×D43—416no—
396D4×D43—432no—
397D4×D43—432no—
398#10621898—432no—
399C2×D172—28no—
400C2×D172—28no—
401C2×D172—44no—
402C2×D172—42no—
403C2×D172—44no—
404C2×D172—44no—
405C2×D172—44no—
406C2×D172—44no—
407C2×D172—44no—
408C2×D172—44no—
409C2×D172—44no—
410C2×D172—44no—
411C2×D172—432no—
412C2×D172—44no—
413C2×D172—42no—
414C2×D172—432no—
415C2×D172—416no—
416C2×D172C2418yes—
417C2×D172C2418yes—
418C2×D172C2418yes—
419C2×D172C2418yes—
420C2×D172C2418yes—
421C2×D172C2418yes—
422C2×D172C2418yes—
423C2×D172C2418yes—
424C2×D172C2418yes—
425C2×D172C2414yes—
426C2×D172C2418yescomplemented
427C2×D172C2414yescomplemented
428C2×D172C2418yescomplemented
429C2×D172C2418yescomplemented
430C2×C4×D43—24no—
431C2×C4×D43—44no—
432C2×C4×D43—44no—
433C2×C4×D43—44no—
434C2×C4×D43—44no—
435C2×C4×D43—44no—
436C2×C4×D43C2414yes—
437C2×C4×D43C2418yes—
438C2×C4×D43C2418yescomplemented
439C2×C4×D43C2418yescomplemented
440C2×C4×D43C2418yescomplemented
441C2×C4×D43C2418yescomplemented
442C2×Dic86—44no—
443C2×Dic86C2418yescomplemented
444C4⋊C4×C43C2418yescomplemented
445C4⋊C4×C43C2418yescomplemented
446C4⋊C4×C43C2418yescomplemented
447C4⋊C4×C43C2418yescomplemented
448C22⋊C4×C43C2418yes—
449C22⋊C4×C43C2418yes—
450C22⋊C4×C43C2418yes—
451C22⋊C4×C43C2418yes—
452C22⋊C4×C43C2418yes—
453C22⋊C4×C43C2414yes—
454C22⋊C4×C43C2418yescomplemented
455C22⋊C4×C43C2414yescomplemented
456C42×C43C2414yescomplemented
457C42×C43C2418yescomplemented
458C22⋊Dic43C2418yes—
459C22⋊Dic43C2414yes—
460C22⋊Dic43C2414yescomplemented
461(C2×D43)⋊C4C2418yes—
462(C2×D43)⋊C4C2418yes—
463(C2×D43)⋊C4C2418yes—
464(C2×D43)⋊C4C2418yes—
465(C2×D43)⋊C4C2418yes—
466(C2×D43)⋊C4C2418yes—
467(C2×D43)⋊C4C2418yes—
468(C2×D43)⋊C4C2418yes—
469(C2×D43)⋊C4C2418yes—
470(C2×D43)⋊C4C2418yes—
471(C2×D43)⋊C4C2418yes—
472(C2×D43)⋊C4C2418yescomplemented
473(C2×D43)⋊C4C2418yescomplemented
474(C2×D43)⋊C4C2418yescomplemented
475(C2×D43)⋊C4C2418yescomplemented
476(C2×D43)⋊C4C2418yescomplemented
477(C2×D43)⋊C4C2418yescomplemented
478(C2×D43)⋊C4C2418yescomplemented
479C4⋊Dic43C2418yescomplemented
480Dic43⋊C4C2418yescomplemented
481Dic43⋊C4C2418yescomplemented
482Dic43⋊C4C2418yescomplemented
483Dic43⋊C4C2418yescomplemented
484C4×Dic43C2414yescomplemented
485C4×Dic43C2418yescomplemented
486C23×C43—24no—
487C23×C43—24no—
488C23×C43—24no—
489C23×C43—216no—
490C23×C43—24no—
491C23×C43—22no—
492C23×C43—22no—
493C23×C43—44no—
494C23×C43—416no—
495C23×C43H(5,𝔽2)18yes—
496C23×C43C2512yes—
497C23×C43C2512yes—
498C23×C43C2514yes—
499C23×C43C2511yescharacteristic
500C22×D43—24no—
501C22×D43—24no—
502C22×D43—24no—
503C22×D43—24no—
504C22×D43—24no—
505C22×D43—24no—
506C22×D43—22no—
507C22×D43—24no—
508C22×D43—24no—
509C22×D43—216no—
510C22×D43—24no—
511C22×D43—24no—
512C22×D43—24no—
513C22×D43—22no—
514C22×D43—24no—
515C22×D43—216no—
516C22×D43—216no—
517C22×D43—216no—
518C22×D43—28no—
519C22×D43—28no—
520C22×D43—48no—
521C22×D43—48no—
522C22×D43—44no—
523C22×D43—48no—
524C22×D43—48no—
525C22×D43—48no—
526C22×D43—48no—
527C22×D43—44no—
528C22×D43—48no—
529C22×D43—48no—
530C22×D43—48no—
531C22×D43—432no—
532C22×D43—416no—
533C22×D43—432no—
534C22×D43—4128no—
535C22×D43—416no—
536C22×D43—88no—
537C22×D43—816no—
538C22×D43—88no—
539C22×D43H(5,𝔽2)14yes—
540C22×D43C2514yes—
541C22×D43C2512yes—
542C22×D43C2514yes—
543C22×D43C2514yes—
544C22×D43C2512yes—
545C22×D43C2512yes—
546Q8×C43—44no—
547D4×C43—216no—
548D4×C43—44no—
549C2×C4×C43—24no—
550C2×C4×C43—22no—
551C2×C4×C43—24no—
552C2×C4×C43—24no—
553C2×C4×C43—24no—
554C2×C4×C43—24no—
555C2×C4×C43—216no—
556C2×C4×C43—48no—
557C2×C4×C43—44no—
558C2×C4×C43C2512yes—
559C2×C4×C43C2514yes—
560C2×C4×C43C2514yes—
561C2×C4×C43C2514yes—
562C2×C4×C43C2514yes—
563C2×C4×C43C2514yes—
564C22⋊D43—216no—
565C22⋊D43—216no—
566C22⋊D43—216no—
567C22⋊D43—48no—
568C22⋊D43—44no—
569C22⋊D43—44no—
570C22⋊D43—48no—
571C22⋊D43—48no—
572C22⋊D43—48no—
573C2×Dic43—24no—
574C2×Dic43—24no—
575C2×Dic43—22no—
576C2×Dic43—24no—
577C2×Dic43—48no—
578C2×Dic43C2514yes—
579C2×Dic43C2514yes—
580C2×Dic43C2514yes—
581C2×Dic43C2512yes—
582D172—216no—
583D172—216no—
584D172—48no—
585D172—48no—
586D172—48no—
587D172—48no—
588D172—48no—
589D172—48no—
590D172—48no—
591D172—44no—
592D172—48no—
593D172—48no—
594D172—48no—
595D172—44no—
596C4×D43—28no—
597C4×D43—48no—
598C4×D43—48no—
599C4×D43—48no—
600C4×D43—48no—
601C4×D43—48no—
602Dic86—48no—
603C2×#3532—431nomaximal, Sylow
604C22×C43—24no—
605C22×C43—24no—
606C22×C43—216no—
607C22×C43—22no—
608C22×C43—22no—
609C22×C43—24no—
610C22×C43—24no—
611C22×C43—416no—
612C22×C43—44no—
613C22×C43—44no—
614C22×C43C2×H(5,𝔽2)12yes—
615C22×C43C2×H(5,𝔽2)18yes—
616C22×C43C2×H(5,𝔽2)14yes—
617C22×C43C2611yescharacteristic
618C2×D43—24no—
619C2×D43—28no—
620C2×D43—24no—
621C2×D43—24no—
622C2×D43—24no—
623C2×D43—22no—
624C2×D43—24no—
625C2×D43—24no—
626C2×D43—22no—
627C2×D43—24no—
628C2×D43—24no—
629C2×D43—24no—
630C2×D43—24no—
631C2×D43—24no—
632C2×D43—24no—
633C2×D43—432no—
634C2×D43—416no—
635C2×D43—432no—
636C2×D43—416no—
637C2×D43—48no—
638C2×D43—44no—
639C2×D43—48no—
640C2×D43—44no—
641C2×D43—48no—
642C2×D43—88no—
643C2×D43—816no—
644C2×D43—88no—
645C2×D43C2×H(5,𝔽2)14yes—
646C4×C43—24no—
647C4×C43—22no—
648C4×C43—24no—
649C4×C43—24no—
650C4×C43—24no—
651C4×C43—24no—
652Dic43—24no—
653Dic43—24no—
654Dic43—22no—
655Dic43—24no—
656#3532—4332no—
657C2×H(3,𝔽4)—431no—
658C2×#560—432no—
659C2×#560—431no—
660C2×#551—432no—
661C2×#551D4311yescharacteristic, complemented
662C2×#546—432no—
663C2×#546—432no—
664C2×#546—432no—
665C2×D42—431no—
666C2×D42—432no—
667C2×#538—432no—
668C2×#538—432no—
669C2×#538—432no—
670C2×#535—431no—
671C2×#535—432no—
672C2×#534—432no—
673C2×#534—431no—
674C22×#120—431no—
675C22×#120—432no—
676C2×C43—28no—
677C2×C43—42no—
678C2×C43—42no—
679C2×C43#353214yescomplemented
680C2×C43C22×H(5,𝔽2)11yescharacteristic
681C2×C43C22×H(5,𝔽2)12yes—
682D43—24no—
683D43—44no—
684D43—42no—
685D43—44no—
686D43—42no—
687D43—44no—
688C26—431no—
689C22×#41—431no—
690C22×#41—432no—
691C23×D4—432no—
692C23×D4—431no—
693C23×D4—432no—
694C23×D4—432no—
695C23×D4—432no—
696C23×D4—432no—
697C23×D4—431no—
698H(3,𝔽4)—4316no—
699#560—4332no—
700#560—4316no—
701#551—4332no—
702#551C2×D43116yescomplemented
703#546—4332no—
704#546—4332no—
705#546—4332no—
706D42—4316no—
707D42—4332no—
708#538—4332no—
709#538—4332no—
710#538—4332no—
711#535—4316no—
712#535—4332no—
713#534—4332no—
714#534—4316no—
715C2×#127—431no—
716C2×#127—431no—
717C2×#127—432no—
718C2×#126—432no—
719C2×#126—432no—
720C2×#126—432no—
721C2×#126C2×D4312yescomplemented
722C2×#124—431no—
723C2×#124—432no—
724C2×#124—432no—
725C2×#124—432no—
726C2×#124—432no—
727C2×#124—432no—
728C2×#124C2×D4311yescharacteristic, complemented
729C2×#123—432no—
730C2×#123—431no—
731C2×#123—432no—
732C2×#123—432no—
733C2×#123—432no—
734C2×#123—432no—
735C2×#123—432no—
736C2×#123—432no—
737C2×#123C2×D4311yescharacteristic, complemented
738C2×#123C2×D4312yescomplemented
739C2×C22⋊Q8—432no—
740C2×C22⋊Q8—432no—
741C2×C22⋊Q8C2×D4312yescomplemented
742C2×#121—432no—
743C2×#121—432no—
744C2×#121—432no—
745C2×#121—432no—
746C2×#121—432no—
747C2×#121—432no—
748C2×#121—432no—
749C2×#121—432no—
750C2×#121—432no—
751C2×#121—432no—
752C2×#121—432no—
753C2×#121—432no—
754C2×#121—432no—
755C2×#121—432no—
756C2×#121—432no—
757C2×#120—431no—
758C2×#120—432no—
759C2×#120—431no—
760C2×#120—431no—
761C2×#120—4316no—
762C2×#120—432no—
763C2×#120—432no—
764C2×#120—432no—
765C2×#120—432no—
766C2×#120—432no—
767C2×#120—432no—
768C2×#120—432no—
769C2×#120—432no—
770C2×#120—431no—
771C2×#120—432no—
772C2×#120—432no—
773C2×#120—432no—
774C2×#120—4332no—
775C2×#120—431no—
776C2×#120—432no—
777C2×#120—432no—
778C2×#120C2×D4311yescharacteristic
779C2×C4×D4—432no—
780C2×C4×D4—432no—
781C2×C4×D4—432no—
782C2×C4×D4—432no—
783C2×C4×D4—432no—
784C2×C4×D4C2×D4312yescomplemented
785C2×#117—431no—
786C2×#117C2×D4312yescomplemented
787C22×C22⋊C4—432no—
788C22×C22⋊C4—432no—
789C22×C22⋊C4—431no—
790C22×C22⋊C4—432no—
791C22×C22⋊C4—432no—
792C22×C22⋊C4—431no—
793C22×C22⋊C4C2×D4312yescomplemented
794C43C2×#353211yescharacteristic, complemented, Sylow
795C25—432no—
796C25—431no—
797C25—432no—
798C25—431no—
799C25—432no—
800C25—431no—
801C25—438no—
802C25—431no—
803C25—1728no—
804C25—1724no—
805C25C22×D4311yescharacteristic
806C2×#41—438no—
807C2×#41—4316no—
808C2×#41—1728no—
809C2×#41—1724no—
810C22×Q8—432no—
811C22×Q8C22×D4311yescharacteristic, complemented
812C22×D4—432no—
813C22×D4—432no—
814C22×D4—432no—
815C22×D4—431no—
816C22×D4—432no—
817C22×D4—432no—
818C22×D4—431no—
819C22×D4—432no—
820C22×D4—4316no—
821C22×D4—432no—
822C22×D4—438no—
823C22×D4—4316no—
824C22×D4—4316no—
825C22×D4—432no—
826C22×D4—432no—
827C22×D4—432no—
828C22×D4—432no—
829C22×D4—432no—
830C22×D4—432no—
831C22×D4—432no—
832C22×D4—432no—
833C22×D4—431no—
834C22×D4—432no—
835C22×D4—431no—
836C22×D4—432no—
837C22×D4—4316no—
838C22×D4—4316no—
839C22×D4—432no—
840C22×D4—432no—
841C22×D4—438no—
842C22×D4—1728no—
843C22×D4—1728no—
844C22×D4—1724no—
845C22×D4—1724no—
846C22×D4—1728no—
847C22×D4—1728no—
848C22×D4—1728no—
849C22×D4C22×D4312yes—
850C22×D4C22×D4311yescharacteristic
851C23×C4—432no—
852C23×C4—431no—
853C23×C4—432no—
854C23×C4—432no—
855C23×C4—432no—
856C23×C4—432no—
857C23×C4—432no—
858C23×C4C22×D4312yes—
859C23×C4C22×D4312yes—
860C23×C4C22×D4311yescharacteristic, complemented
861#127—438no—
862#127—438no—
863#127—4316no—
864#126—4316no—
865#126—4316no—
866#126—4316no—
867#126C22×D43116yescomplemented
868#124—438no—
869#124—4316no—
870#124—4316no—
871#124—4316no—
872#124—4316no—
873#124—4316no—
874#124C22×D4318yescomplemented
875#123—4316no—
876#123—438no—
877#123—4316no—
878#123—4316no—
879#123—4316no—
880#123—4316no—
881#123—4316no—
882#123—4316no—
883#123C22×D4318yescomplemented
884#123C22×D43116yescomplemented
885C22⋊Q8—4316no—
886C22⋊Q8—4316no—
887C22⋊Q8C22×D43116yescomplemented
888#121—4316no—
889#121—4316no—
890#121—4316no—
891#121—4316no—
892#121—4316no—
893#121—4316no—
894#121—4316no—
895#121—4316no—
896#121—4316no—
897#121—4316no—
898#121—4316no—
899#121—4316no—
900#121—4316no—
901#121—4316no—
902#121—4316no—
903#120—438no—
904#120—4316no—
905#120—438no—
906#120—438no—
907#120—4316no—
908#120—4316no—
909#120—4316no—
910#120—4316no—
911#120—4316no—
912#120—4316no—
913#120—4316no—
914#120—4316no—
915#120—438no—
916#120—4316no—
917#120—4316no—
918#120—4316no—
919#120—438no—
920#120—4316no—
921#120—4316no—
922#120C22×D4318yes—
923C4×D4—4316no—
924C4×D4—4316no—
925C4×D4—4316no—
926C4×D4—4316no—
927C4×D4—4316no—
928C4×D4C22×D43116yescomplemented
929#117—438no—
930#117C22×D43116yescomplemented
931C2×C4⋊C4—432no—
932C2×C4⋊C4—432no—
933C2×C4⋊C4—432no—
934C2×C4⋊C4—432no—
935C2×C4⋊C4—432no—
936C2×C4⋊C4C22×D4312yescomplemented
937C2×C4⋊C4C22×D4312yescomplemented
938C2×C4⋊C4C22×D4312yescomplemented
939C2×C4⋊C4C22×D4312yescomplemented
940C2×C22⋊C4—432no—
941C2×C22⋊C4—431no—
942C2×C22⋊C4—431no—
943C2×C22⋊C4—432no—
944C2×C22⋊C4—432no—
945C2×C22⋊C4—432no—
946C2×C22⋊C4—432no—
947C2×C22⋊C4—432no—
948C2×C22⋊C4—432no—
949C2×C22⋊C4—432no—
950C2×C22⋊C4—432no—
951C2×C22⋊C4—432no—
952C2×C22⋊C4—432no—
953C2×C22⋊C4—432no—
954C2×C22⋊C4—4316no—
955C2×C22⋊C4—4316no—
956C2×C22⋊C4—432no—
957C2×C22⋊C4—432no—
958C2×C22⋊C4—432no—
959C2×C22⋊C4—432no—
960C2×C22⋊C4—432no—
961C2×C22⋊C4—432no—
962C2×C22⋊C4—432no—
963C2×C22⋊C4—438no—
964C2×C22⋊C4—4316no—
965C2×C22⋊C4—4316no—
966C2×C22⋊C4—438no—
967C2×C22⋊C4C22×D4312yes—
968C2×C22⋊C4C22×D4312yes—
969C2×C22⋊C4C22×D4311yescharacteristic
970C2×C22⋊C4C22×D4312yes—
971C2×C22⋊C4C22×D4312yes—
972C2×C22⋊C4C22×D4312yes—
973C2×C22⋊C4C22×D43116yescomplemented
974C2×C22⋊C4C22×D4311yescharacteristic, complemented
975C2×C22⋊C4C22×D4312yescomplemented
976C2×C42—431no—
977C2×C42—432no—
978C2×C42C22×D4311yescharacteristic, complemented
979C2×C42C22×D4312yescomplemented
980C24—28no—
981C24—42no—
982C24—431no—
983C24—432no—
984C24—431no—
985C24—432no—
986C24—432no—
987C24—431no—
988C24—438no—
989C24—434no—
990C24—438no—
991C24—434no—
992C24—438no—
993C24—434no—
994C24—434no—
995C24—864no—
996C24—868no—
997C24—864no—
998C24—868no—
999C24—868no—
1000C24—868no—
1001C24—1724no—
1002C24—1724no—
1003C24—1722no—
1004C24—1724no—
1005C24—1724no—
1006C24—1724no—
1007C24—1724no—
1008C24—1724no—
1009C24—1722no—
1010C24—1724no—
1011C24—1724no—
1012C24—17232no—
1013C24—17216no—
1014C24—17264no—
1015C24C23×D4311yescharacteristic
1016C24C23×D4311yescharacteristic
1017C24C23×D4314yes—
1018C24C23×D4312yes—
1019#41—17232no—
1020#41—17216no—
1021C2×Q8—42no—
1022C2×Q8—438no—
1023C2×Q8—1724no—
1024C2×Q8C23×D4314yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—438no—
1028C2×D4—438no—
1029C2×D4—438no—
1030C2×D4—434no—
1031C2×D4—438no—
1032C2×D4—438no—
1033C2×D4—434no—
1034C2×D4—438no—
1035C2×D4—438no—
1036C2×D4—438no—
1037C2×D4—438no—
1038C2×D4—438no—
1039C2×D4—438no—
1040C2×D4—438no—
1041C2×D4—438no—
1042C2×D4—438no—
1043C2×D4—438no—
1044C2×D4—434no—
1045C2×D4—438no—
1046C2×D4—434no—
1047C2×D4—438no—
1048C2×D4—438no—
1049C2×D4—438no—
1050C2×D4—868no—
1051C2×D4—868no—
1052C2×D4—868no—
1053C2×D4—868no—
1054C2×D4—868no—
1055C2×D4—1724no—
1056C2×D4—1724no—
1057C2×D4—1724no—
1058C2×D4—1722no—
1059C2×D4—1724no—
1060C2×D4—1724no—
1061C2×D4—1724no—
1062C2×D4—1724no—
1063C2×D4—17232no—
1064C2×D4—1724no—
1065C2×D4—1724no—
1066C2×D4—1722no—
1067C2×D4—1724no—
1068C2×D4—17232no—
1069C2×D4—17216no—
1070C2×D4—17216no—
1071C2×D4—1722no—
1072C2×D4—1722no—
1073C2×D4—1724no—
1074C2×D4—1724no—
1075C2×D4—1724no—
1076C2×D4—1724no—
1077C2×D4—17232no—
1078C2×D4—17232no—
1079C2×D4—17232no—
1080C2×D4C23×D4318yes—
1081C2×D4C23×D4314yes—
1082C22×C4—28no—
1083C22×C4—44no—
1084C22×C4—42no—
1085C22×C4—432no—
1086C22×C4—432no—
1087C22×C4—432no—
1088C22×C4—431no—
1089C22×C4—438no—
1090C22×C4—434no—
1091C22×C4—438no—
1092C22×C4—438no—
1093C22×C4—438no—
1094C22×C4—438no—
1095C22×C4—438no—
1096C22×C4—864no—
1097C22×C4—1724no—
1098C22×C4—1724no—
1099C22×C4—1724no—
1100C22×C4—1724no—
1101C22×C4—1724no—
1102C22×C4—1724no—
1103C22×C4C23×D4318yes—
1104C22×C4C23×D4311yescharacteristic
1105C22×C4C23×D4312yes—
1106C22×C4C23×D4312yes—
1107C22×C4C23×D4312yes—
1108C22×C4C23×D4312yes—
1109C22×C4C23×D4312yes—
1110C22×C4C23×D4318yes—
1111C22×C4C23×D4314yescomplemented
1112C4⋊C4—438no—
1113C4⋊C4—438no—
1114C4⋊C4—438no—
1115C4⋊C4—438no—
1116C4⋊C4—438no—
1117C4⋊C4C23×D4318yescomplemented
1118C4⋊C4C23×D4318yescomplemented
1119C4⋊C4C23×D4318yescomplemented
1120C4⋊C4C23×D4318yescomplemented
1121C22⋊C4—438no—
1122C22⋊C4—434no—
1123C22⋊C4—434no—
1124C22⋊C4—438no—
1125C22⋊C4—438no—
1126C22⋊C4—438no—
1127C22⋊C4—438no—
1128C22⋊C4—438no—
1129C22⋊C4—438no—
1130C22⋊C4—438no—
1131C22⋊C4—438no—
1132C22⋊C4—438no—
1133C22⋊C4—438no—
1134C22⋊C4—438no—
1135C22⋊C4—438no—
1136C22⋊C4—438no—
1137C22⋊C4—438no—
1138C22⋊C4—438no—
1139C22⋊C4—438no—
1140C22⋊C4—438no—
1141C22⋊C4—438no—
1142C22⋊C4C23×D4318yes—
1143C22⋊C4C23×D4318yes—
1144C22⋊C4C23×D4314yes—
1145C22⋊C4C23×D4318yes—
1146C22⋊C4C23×D4318yes—
1147C22⋊C4C23×D4318yes—
1148C22⋊C4C23×D4314yescomplemented
1149C22⋊C4C23×D4318yescomplemented
1150C42—434no—
1151C42—438no—
1152C42C23×D4314yescomplemented
1153C42C23×D4318yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—22no—
1157C23—22no—
1158C23—24no—
1159C23—216no—
1160C23—24no—
1161C23—44no—
1162C23—416no—
1163C23—434no—
1164C23—432no—
1165C23—434no—
1166C23—432no—
1167C23—434no—
1168C23—434no—
1169C23—432no—
1170C23—868no—
1171C23—8616no—
1172C23—868no—
1173C23—864no—
1174C23—8616no—
1175C23—864no—
1176C23—864no—
1177C23—862no—
1178C23—864no—
1179C23—862no—
1180C23—864no—
1181C23—864no—
1182C23—864no—
1183C23—864no—
1184C23—864no—
1185C23—8616no—
1186C23—8616no—
1187C23—864no—
1188C23—864no—
1189C23—864no—
1190C23—34416no—
1191C23—3448no—
1192C23—3448no—
1193C23—1728no—
1194C23—1728no—
1195C23—1724no—
1196C23—1728no—
1197C23—1728no—
1198C23—1728no—
1199C23—1728no—
1200C23—1728no—
1201C23—1724no—
1202C23—1728no—
1203C23—1728no—
1204C23—17232no—
1205C23—17232no—
1206C23—17216no—
1207C23—172128no—
1208C23—17216no—
1209C23#1306337118yes—
1210C23C24×D4312yes—
1211C23C24×D4312yes—
1212C23C24×D4314yes—
1213C23C24×D4311yescharacteristic
1214Q8—44no—
1215Q8—1728no—
1216D4—216no—
1217D4—44no—
1218D4—8616no—
1219D4—8616no—
1220D4—8616no—
1221D4—8616no—
1222D4—8616no—
1223D4—1728no—
1224D4—1728no—
1225D4—1728no—
1226D4—1724no—
1227D4—1728no—
1228D4—1728no—
1229D4—1728no—
1230D4—1728no—
1231D4—1728no—
1232D4—1728no—
1233D4—1724no—
1234D4—1728no—
1235D4—1724no—
1236D4—1724no—
1237D4—1728no—
1238D4—1728no—
1239D4—1728no—
1240D4—1728no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—24no—
1245C2×C4—24no—
1246C2×C4—216no—
1247C2×C4—24no—
1248C2×C4—48no—
1249C2×C4—44no—
1250C2×C4—434no—
1251C2×C4—434no—
1252C2×C4—434no—
1253C2×C4—432no—
1254C2×C4—868no—
1255C2×C4—862no—
1256C2×C4—864no—
1257C2×C4—864no—
1258C2×C4—864no—
1259C2×C4—1728no—
1260C2×C4—1728no—
1261C2×C4—1728no—
1262C2×C4—1728no—
1263C2×C4—1728no—
1264C2×C4—1728no—
1265C2×C4C24×D4312yes—
1266C2×C4C24×D4314yes—
1267C2×C4C24×D4314yes—
1268C2×C4C24×D4314yes—
1269C2×C4C24×D4314yes—
1270C2×C4C24×D4314yes—
1271C22—24no—
1272C22—24no—
1273C22—216no—
1274C22—22no—
1275C22—22no—
1276C22—24no—
1277C22—24no—
1278C22—416no—
1279C22—44no—
1280C22—44no—
1281C22—434no—
1282C22—864no—
1283C22—868no—
1284C22—864no—
1285C22—864no—
1286C22—862no—
1287C22—864no—
1288C22—862no—
1289C22—864no—
1290C22—864no—
1291C22—864no—
1292C22—864no—
1293C22—864no—
1294C22—864no—
1295C22—864no—
1296C22—864no—
1297C22—34416no—
1298C22—3448no—
1299C22—3448no—
1300C22—17232no—
1301C22—17232no—
1302C22—17216no—
1303C22—17216no—
1304C22—1728no—
1305C22—1728no—
1306C22—1724no—
1307C22—1728no—
1308C22—1724no—
1309C22H(5,𝔽2)×D4312yes—
1310C22C2×#1306337118yes—
1311C22C2×#1306337114yes—
1312C22C25×D4311yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—24no—
1317C4—24no—
1318C4—24no—
1319C4—862no—
1320C4—864no—
1321C4—864no—
1322C4—864no—
1323C2—28no—
1324C2—42no—
1325C2—42no—
1326C2—864no—
1327C2—1724no—
1328C2—1724no—
1329C2—1722no—
1330C2—1724no—
1331C2—1722no—
1332C2#1914875114yesdirect product factor
1333C2C2×H(5,𝔽2)×D4311yescharacteristic
1334C2C22×#1306337112yes—
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#551C2
socleC23×C43C25
hypercenterC2×#551D43
hypocenterC43C2×#3532
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #19148751C2direct (N × H)
2. C2×#14583641C2semidirect
3. C2×#14583640C2semidirect
4. C2×#14583639C2semidirect
5. C2×#14583573C2semidirect
6. C2×#14583541C2semidirect
7. C2×#14583540C2semidirect
8. C2×#14583539C2semidirect
9. C2×D4×D172C2semidirect
10. C2×#14583531C2semidirect
11. C2×#14583489C2semidirect
12. C2×#14583488C2semidirect
13. C2×#14583482C2semidirect
14. C2×#14583468C2semidirect
15. C2×#14583467C2semidirect
16. C2×#14583460C2semidirect
17. C2×#14583460C2semidirect
18. C22×#13063295C2semidirect
19. C2×#120×D43C2semidirect
20. C2×C43×#551C2semidirect
21. C25×D43C22semidirect
22. C22×#10621902C22semidirect
23. C22×#10621898C22semidirect
24. C23×D172C22semidirect
25. C23×D172C22semidirect
26. C23×D172C22semidirect
27. C23×C22⋊D43C22semidirect
28. C22×D4×D43C22semidirect
29. C22×D4×D43C22semidirect
30. C22×D4×D43C22semidirect
31. #14583641C22semidirect
32. #14583640C22semidirect
33. #14583639C22semidirect
34. #14583573C22semidirect
35. #14583541C22semidirect
36. #14583540C22semidirect
37. #14583539C22semidirect
38. D4×D172C22semidirect
39. #14583531C22semidirect
40. #14583489C22semidirect
41. #14583488C22semidirect
42. #14583482C22semidirect
43. #14583468C22semidirect
44. #14583467C22semidirect
45. #14583460C22semidirect
46. #14583460C22semidirect
47. C2×#13063322C22semidirect
48. C2×#13063322C22semidirect
49. C2×#13063321C22semidirect
50. C2×#13063320C22semidirect
51. C2×#13063320C22semidirect
52. C2×#13063319C22semidirect
53. C2×#13063314C22semidirect
54. C2×#13063314C22semidirect
55. C2×#13063313C22semidirect
56. C2×#13063313C22semidirect
57. C2×#13063311C22semidirect
58. C2×#13063311C22semidirect
59. C2×#13063310C22semidirect
60. C2×#13063310C22semidirect
61. C2×#13063310C22semidirect
62. C2×#13063310C22semidirect
63. C2×#13063310C22semidirect
64. C2×#13063308C22semidirect
65. C2×#13063308C22semidirect
66. C2×#13063307C22semidirect
67. C2×#13063303C22semidirect
68. C2×#13063302C22semidirect
69. C2×#13063300C22semidirect
70. C2×#13063300C22semidirect
71. C2×#13063300C22semidirect
72. C2×#13063300C22semidirect
73. C2×#13063300C22semidirect
74. C2×#13063300C22semidirect
75. C2×#13063300C22semidirect
76. C2×#13063299C22semidirect
77. C2×#13063299C22semidirect
78. C2×#13063298C22semidirect
79. C2×#13063298C22semidirect
80. C2×#13063298C22semidirect
81. C2×#13063298C22semidirect
82. C2×#13063298C22semidirect
83. C2×#13063297C22semidirect
85. C2×#13063295C22semidirect
86. C2×#13063295C22semidirect
87. C2×#13063295C22semidirect
88. C2×#13063295C22semidirect
89. C2×#13063295C22semidirect
90. C2×#13063295C22semidirect
91. C2×#13063295C22semidirect
92. C2×#13063295C22semidirect
93. C2×#13063295C22semidirect
94. C2×#13063295C22semidirect
95. C2×#13063295C22semidirect
96. C2×#13063295C22semidirect
97. C2×#13063295C22semidirect
98. C2×#13063295C22semidirect
99. C2×#13063295C22semidirect
100. C2×#13063294C22semidirect
101. C2×#13063293C22semidirect
102. C2×#13063293C22semidirect
103. C2×#13063293C22semidirect
104. #120×D43C22semidirect
105. C2×C4×D172C22semidirect
106. C2×#13063287C22semidirect
107. C2×C4×C22⋊D43C22semidirect
108. C2×(C22⋊D43)⋊C4C22semidirect
109. C2×(C22⋊D43)⋊C4C22semidirect
110. C2×#13063282C22semidirect
111. C22×(C2×D43)⋊C4C22semidirect
112. C22×(C2×D43)⋊C4C22semidirect
113. C2×C22⋊C4×D43C22semidirect
114. C2×C22⋊C4×D43C22semidirect
115. C2×C22⋊C4×D43C22semidirect
116. C2×C22⋊C4×D43C22semidirect
117. C43×#551C22semidirect
118. C2×#126×C43C22semidirect
119. C2×#124×C43C22semidirect
120. C2×#123×C43C22semidirect
121. C2×#123×C43C22semidirect
122. C2×C22⋊Q8×C43C22semidirect
124. C2×C4×D4×C43C22semidirect
125. C2×#117×C43C22semidirect
126. C22×C22⋊C4×C43C22semidirect
135. C24×D43C23semidirect
136. C24×D43C23semidirect
138. C2×#10621902C23semidirect
140. C2×#10621898C23semidirect
141. C22×Dic86C23semidirect
155. C22×D172C23semidirect
156. C22×D172C23semidirect
157. C22×D172C23semidirect
158. C22×D172C23semidirect
159. C22×D172C23semidirect
160. C22×D172C23semidirect
161. C22×D172C23semidirect
171. C22×C22⋊D43C23semidirect
172. C22×C22⋊D43C23semidirect
176. C2×D4×D43C23semidirect
177. C2×D4×D43C23semidirect
178. C2×D4×D43C23semidirect
182. C22×C4×D43C23semidirect
183. C22×C4×D43C23semidirect
184. C22×C4×D43C23semidirect
185. C22×C4×D43C23semidirect
186. #13063322C23semidirect
187. #13063322C23semidirect
188. #13063321C23semidirect
189. #13063320C23semidirect
190. #13063320C23semidirect
191. #13063319C23semidirect
192. #13063314C23semidirect
193. #13063314C23semidirect
194. #13063313C23semidirect
195. #13063313C23semidirect
196. #13063311C23semidirect
197. #13063311C23semidirect
198. #13063310C23semidirect
199. #13063310C23semidirect
200. #13063310C23semidirect
201. #13063310C23semidirect
202. #13063310C23semidirect
203. #13063308C23semidirect
204. #13063308C23semidirect
205. #13063307C23semidirect
206. #13063303C23semidirect
207. #13063302C23semidirect
208. #13063300C23semidirect
209. #13063300C23semidirect
210. #13063300C23semidirect
211. #13063300C23semidirect
212. #13063300C23semidirect
213. #13063300C23semidirect
214. #13063300C23semidirect
215. #13063299C23semidirect
216. #13063299C23semidirect
217. #13063298C23semidirect
218. #13063298C23semidirect
219. #13063298C23semidirect
220. #13063298C23semidirect
221. #13063298C23semidirect
222. #13063297C23semidirect
224. #13063295C23semidirect
225. #13063295C23semidirect
226. #13063295C23semidirect
227. #13063295C23semidirect
228. #13063295C23semidirect
229. #13063295C23semidirect
230. #13063295C23semidirect
231. #13063295C23semidirect
232. #13063295C23semidirect
233. #13063295C23semidirect
234. #13063295C23semidirect
235. #13063295C23semidirect
236. #13063295C23semidirect
237. #13063295C23semidirect
238. #13063294C23semidirect
239. #13063293C23semidirect
240. #13063293C23semidirect
241. #13063293C23semidirect
242. C4×D172C23semidirect
243. #13063287C23semidirect
244. C4×C22⋊D43C23semidirect
245. (C22⋊D43)⋊C4C23semidirect
246. (C22⋊D43)⋊C4C23semidirect
247. #13063282C23semidirect
248. C2×C4⋊Dic43C23semidirect
249. C2×Dic43⋊C4C23semidirect
250. C2×Dic43⋊C4C23semidirect
251. C2×Dic43⋊C4C23semidirect
252. C2×Dic43⋊C4C23semidirect
255. C2×C22⋊Dic43C23semidirect
267. C2×(C2×D43)⋊C4C23semidirect
268. C2×(C2×D43)⋊C4C23semidirect
269. C2×(C2×D43)⋊C4C23semidirect
270. C2×(C2×D43)⋊C4C23semidirect
271. C2×(C2×D43)⋊C4C23semidirect
272. C2×(C2×D43)⋊C4C23semidirect
273. C2×(C2×D43)⋊C4C23semidirect
274. C2×(C2×D43)⋊C4C23semidirect
275. C2×(C2×D43)⋊C4C23semidirect
276. C22⋊C4×D43C23semidirect
277. C22⋊C4×D43C23semidirect
278. C22⋊C4×D43C23semidirect
279. C22⋊C4×D43C23semidirect
280. C2×C4×Dic43C23semidirect
281. C2×C4×Dic43C23semidirect
283. C22×Q8×C43C23semidirect
288. C23×C4×C43C23semidirect
289. #126×C43C23semidirect
290. #124×C43C23semidirect
291. #123×C43C23semidirect
292. #123×C43C23semidirect
293. C22⋊Q8×C43C23semidirect
295. C4×D4×C43C23semidirect
296. #117×C43C23semidirect
297. C2×C4⋊C4×C43C23semidirect
298. C2×C4⋊C4×C43C23semidirect
299. C2×C4⋊C4×C43C23semidirect
300. C2×C4⋊C4×C43C23semidirect
307. C2×C22⋊C4×C43C23semidirect
308. C2×C22⋊C4×C43C23semidirect
309. C2×C22⋊C4×C43C23semidirect
310. C2×C42×C43C23semidirect
311. C2×C42×C43C23semidirect
350. C23×D43C24semidirect
352. C2×Q8×C43C24semidirect
368. C22×C4×C43C24semidirect
387. C2×C22⋊D43C24semidirect
426. C2×D172C24semidirect
427. C2×D172C24semidirect
428. C2×D172C24semidirect
429. C2×D172C24semidirect
438. C2×C4×D43C24semidirect
439. C2×C4×D43C24semidirect
440. C2×C4×D43C24semidirect
441. C2×C4×D43C24semidirect
443. C2×Dic86C24semidirect
444. C4⋊C4×C43C24semidirect
445. C4⋊C4×C43C24semidirect
446. C4⋊C4×C43C24semidirect
447. C4⋊C4×C43C24semidirect
454. C22⋊C4×C43C24semidirect
455. C22⋊C4×C43C24semidirect
456. C42×C43C24semidirect
457. C42×C43C24semidirect
460. C22⋊Dic43C24semidirect
472. (C2×D43)⋊C4C24semidirect
473. (C2×D43)⋊C4C24semidirect
474. (C2×D43)⋊C4C24semidirect
475. (C2×D43)⋊C4C24semidirect
476. (C2×D43)⋊C4C24semidirect
477. (C2×D43)⋊C4C24semidirect
478. (C2×D43)⋊C4C24semidirect
479. C4⋊Dic43C24semidirect
480. Dic43⋊C4C24semidirect
481. Dic43⋊C4C24semidirect
482. Dic43⋊C4C24semidirect
483. Dic43⋊C4C24semidirect
484. C4×Dic43C24semidirect
485. C4×Dic43C24semidirect
661. C2×#551D43semidirect
679. C2×C43#3532semidirect
702. #551C2×D43semidirect
721. C2×#126C2×D43semidirect
728. C2×#124C2×D43semidirect
737. C2×#123C2×D43semidirect
738. C2×#123C2×D43semidirect
741. C2×C22⋊Q8C2×D43semidirect
784. C2×C4×D4C2×D43semidirect
786. C2×#117C2×D43semidirect
793. C22×C22⋊C4C2×D43semidirect
794. C43C2×#3532semidirect
811. C22×Q8C22×D43semidirect
860. C23×C4C22×D43semidirect
867. #126C22×D43semidirect
874. #124C22×D43semidirect
883. #123C22×D43semidirect
884. #123C22×D43semidirect
887. C22⋊Q8C22×D43semidirect
928. C4×D4C22×D43semidirect
930. #117C22×D43semidirect
936. C2×C4⋊C4C22×D43semidirect
937. C2×C4⋊C4C22×D43semidirect
938. C2×C4⋊C4C22×D43semidirect
939. C2×C4⋊C4C22×D43semidirect
973. C2×C22⋊C4C22×D43semidirect
974. C2×C22⋊C4C22×D43semidirect
975. C2×C22⋊C4C22×D43semidirect
978. C2×C42C22×D43semidirect
979. C2×C42C22×D43semidirect
1024. C2×Q8C23×D43semidirect
1111. C22×C4C23×D43semidirect
1117. C4⋊C4C23×D43semidirect
1118. C4⋊C4C23×D43semidirect
1119. C4⋊C4C23×D43semidirect
1120. C4⋊C4C23×D43semidirect
1148. C22⋊C4C23×D43semidirect
1149. C22⋊C4C23×D43semidirect
1152. C42C23×D43semidirect
1153. C42C23×D43semidirect
1332. C2#19148751direct (N × H)

Maximal subgroups

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

subgroupindex
#191487512
C2×#145836412
C2×#145836402
C2×#145836392
C2×#145835732
C2×#145835412
C2×#145835402
C2×#145835392
C2×D4×D1722
C2×#145835312
C2×#145834892
C2×#145834882
C2×#145834822
C2×#145834682
C2×#145834672
C2×#145834602
C22×#130632952
C2×#120×D432
C2×C43×#5512
C2×#353243