Finite Group Databasebeta

← C2×#19148748 #26003715

Subgroups — C2×#19148748 #26003715

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#19148748C2132yesmaximal, direct product factor
2C2×#14583642C211yesmaximal, characteristic, complemented
3C2×#14583638C212yesmaximal, complemented
4C2×#14583577C211yesmaximal, characteristic, complemented
5C2×#14583574C212yesmaximal, complemented
6C2×#14583546C212yesmaximal, complemented
7C2×#14583541C212yesmaximal, complemented
8C2×#14583538C212yesmaximal, complemented
9C2×#14583534C211yesmaximal, characteristic, complemented
10C2×#14583533C212yesmaximal, complemented
11C2×#14583488C212yesmaximal, complemented
12C2×#14583485C212yesmaximal, complemented
13C2×#14583481C212yesmaximal, complemented
14C2×#14583465C212yesmaximal, complemented
15C2×#14583462C211yesmaximal, characteristic, complemented
16C2×#14583460C211yesmaximal, characteristic, complemented
17C2×#14583457C212yesmaximal, complemented
18C2×#120×D43C211yesmaximal, characteristic, complemented
19C2×#120×D43C212yesmaximal, complemented
20C2×C43×#560C211yesmaximal, characteristic, complemented
21C25×D43C2211yescharacteristic, complemented
22C22×#10621898C2212yescomplemented
23C22×#10621900C2211yescharacteristic, complemented
24C23×D172C2211yescharacteristic, complemented
25C22×D4×D43C2212yescomplemented
26C22×D4×D43C2212yescomplemented
27C22×D4×D43C2212yescomplemented
28C22×D4×D43C2212yescomplemented
29C22×D4×D43C2211yescharacteristic, complemented
30C22×D4×D43C2212yescomplemented
31#14583642C22116yescomplemented
32#14583638C22132yescomplemented
33#14583577C22116yescomplemented
34#14583574C22132yescomplemented
35#14583546C22132yescomplemented
36#14583541C22132yescomplemented
37#14583538C22132yescomplemented
38#14583534C22116yescomplemented
39#14583533C22132yescomplemented
40#14583488C22132yescomplemented
41#14583485C22132yescomplemented
42#14583481C22132yescomplemented
43#14583465C22132yescomplemented
44#14583462C22116yescomplemented
45#14583460C22116yescomplemented
46#14583457C22132yescomplemented
47C2×#13063321C2212yescomplemented
48C2×#13063321C2211yescharacteristic, complemented
49C2×#13063320C2212yescomplemented
50C2×#13063318C2212yescomplemented
51C2×#13063318C2212yescomplemented
52C2×#13063313C2211yescharacteristic, complemented
53C2×#13063312C2212yescomplemented
54C2×#13063312C2211yescharacteristic, complemented
55C2×#13063311C2212yescomplemented
56C2×#13063311C2212yescomplemented
57C2×#13063311C2212yescomplemented
58C2×#13063311C2212yescomplemented
59C2×#13063310C2212yescomplemented
60C2×#13063310C2212yescomplemented
61C2×#13063310C2212yescomplemented
62C2×#13063308C2211yescharacteristic, complemented
63C2×#13063307C2212yescomplemented
64C2×#13063307C2212yescomplemented
65C2×#13063307C2212yescomplemented
66C2×#13063306C2212yescomplemented
67C2×#13063305C2212yescomplemented
68C2×#13063303C2212yescomplemented
69C2×#13063303C2212yescomplemented
70C2×#13063300C2212yescomplemented
71C2×#13063300C2212yescomplemented
72C2×#13063299C2212yescomplemented
73C2×#13063298C2212yescomplemented
74C2×#13063298C2212yescomplemented
75C2×#13063298C2212yescomplemented
76C2×#13063297C2212yescomplemented
77C2×#13063297C2212yescomplemented
78C2×#13063297C2212yescomplemented
79C2×#13063296C2212yescomplemented
80C2×#13063296C2212yescomplemented
81C2×#13063296C2212yescomplemented
82C2×#13063295C2212yes—
83C2×#13063295C2211yescharacteristic, complemented
84C2×#13063295C2212yescomplemented
85C2×#13063295C2212yescomplemented
86C2×#13063295C2212yescomplemented
87C2×#13063295C2212yescomplemented
88C2×#13063295C2211yescharacteristic, complemented
89C2×#13063294C2211yescharacteristic, complemented
90C2×#13063294C2212yescomplemented
91C2×#13063293C2211yescharacteristic
92C2×#13063293C2212yescomplemented
93C2×#13063293C2212yescomplemented
94C2×#13063293C2212yescomplemented
95C2×#13063293C2212yescomplemented
96C2×#13063293C2212yescomplemented
97C2×#13063293C2211yescharacteristic, complemented
98C2×#13063293C2212yescomplemented
99C2×#13063293C2212yescomplemented
100#120×D43C22116yescomplemented
101#120×D43C22132yescomplemented
102C2×C4×D172C2212yescomplemented
103C2×#13063287C2212yescomplemented
104C2×#13063287C2212yescomplemented
105C2×C4×C22⋊D43C2212yescomplemented
106C2×C4×C22⋊D43C2212yescomplemented
107C2×(C22⋊D43)⋊C4C2212yescomplemented
108C2×#13063283C2212yescomplemented
109C2×#13063282C2211yescharacteristic, complemented
110C22×(C2×D43)⋊C4C2212yescomplemented
111C2×C22⋊C4×D43C2212yescomplemented
112C2×C22⋊C4×D43C2212yescomplemented
113C2×C22⋊C4×D43C2212yescomplemented
114C2×C22⋊C4×D43C2212yescomplemented
115C2×C22⋊C4×D43C2211yescharacteristic, complemented
116C2×C22⋊C4×D43C2211yescharacteristic, complemented
117C43×#560C22116yescomplemented
118C2×#127×C43C2211yescharacteristic, complemented
119C2×#126×C43C2212yescomplemented
120C2×#123×C43C2212yescomplemented
121C2×#123×C43C2211yescharacteristic, complemented
122C2×#121×C43C2212yescomplemented
123C2×#121×C43C2212yescomplemented
124C2×#121×C43C2212yescomplemented
125C2×#120×C43C2212yescomplemented
126C2×#120×C43C2211yescharacteristic, complemented
127C24×D43—48no—
128C24×D43—44no—
129C24×D43C2311yescharacteristic
130C24×D43C2312yes—
131C24×D43C2312yes—
132C24×D43C2311yescharacteristic
133C24×D43C2311yescharacteristic
134C24×D43C2312yes—
135C24×D43C2318yescomplemented
136C24×D43C2311yescharacteristic, complemented
137C2×#10621898—48no—
138C2×#10621898C23116yescomplemented
139C2×#10621900—44no—
140C2×#10621900C2318yescomplemented
141C22×Dic86C2311yescharacteristic, complemented
142C22×Dic86C2312yescomplemented
143C22×D172—44no—
144C22×D172C2312yes—
145C22×D172C2312yes—
146C22×D172C2312yes—
147C22×D172C2312yes—
148C22×D172C2311yescharacteristic
149C22×D172C2318yescomplemented
150C22×D172C2312yescomplemented
151C22×C22⋊D43C2312yes—
152C22×C22⋊D43C2312yes—
153C22×C22⋊D43C2312yes—
154C22×C22⋊D43C2311yescharacteristic
155C22×C22⋊D43C2312yes—
156C22×C22⋊D43C2312yes—
157C22×C22⋊D43C2312yes—
158C22×C22⋊D43C2312yes—
159C22×C22⋊D43C2312yes—
160C22×C22⋊D43C2311yescharacteristic
161C22×C22⋊D43C2312yescomplemented
162C22×C22⋊D43C2312yescomplemented
163C2×D4×D43—44no—
164C2×D4×D43—48no—
165C2×D4×D43—48no—
166C2×D4×D43—48no—
167C2×D4×D43—48no—
168C2×D4×D43—48no—
169C2×D4×D43C23116yescomplemented
170C2×D4×D43C2318yescomplemented
171C2×D4×D43C23116yescomplemented
172C2×D4×D43C23116yescomplemented
173C2×D4×D43C23116yescomplemented
174C2×D4×D43C23116yescomplemented
175C23×Dic43C2312yescomplemented
176C22×C4×D43C2311yescharacteristic
177C22×C4×D43C2312yes—
178C22×C4×D43C2312yes—
179C22×C4×D43C2312yes—
180C22×C4×D43C2312yes—
181C22×C4×D43C2312yescomplemented
182C22×C4×D43C2312yescomplemented
183#13063321C2318yescomplemented
184#13063321C23116yescomplemented
185#13063320C23116yescomplemented
186#13063318C23116yescomplemented
187#13063318C23116yescomplemented
188#13063313C2318yescomplemented
189#13063312C2318yescomplemented
190#13063312C23116yescomplemented
191#13063311C23116yescomplemented
192#13063311C23116yescomplemented
193#13063311C23116yescomplemented
194#13063311C23116yescomplemented
195#13063310C23116yescomplemented
196#13063310C23116yescomplemented
197#13063310C23116yescomplemented
198#13063308C2318yescomplemented
199#13063307C23116yescomplemented
200#13063307C23116yescomplemented
201#13063307C23116yescomplemented
202#13063306C23116yescomplemented
203#13063305C23116yescomplemented
204#13063303C23116yescomplemented
205#13063303C23116yescomplemented
206#13063300C23116yescomplemented
207#13063300C23116yescomplemented
208#13063299C23116yescomplemented
209#13063298C23116yescomplemented
210#13063298C23116yescomplemented
211#13063298C23116yescomplemented
212#13063297C23116yescomplemented
213#13063297C23116yescomplemented
214#13063297C23116yescomplemented
215#13063296C23116yescomplemented
216#13063296C23116yescomplemented
217#13063296C23116yescomplemented
218#13063295C23116yes—
219#13063295C23116yescomplemented
220#13063295C23116yescomplemented
221#13063295C23116yescomplemented
222#13063295C2318yescomplemented
223#13063295C23116yescomplemented
224#13063295C2318yescomplemented
225#13063294C2318yescomplemented
226#13063294C23116yescomplemented
227#13063293C2318yes—
228#13063293C23116yescomplemented
229#13063293C23116yescomplemented
230#13063293C23116yescomplemented
231#13063293C23116yescomplemented
232#13063293C23116yescomplemented
233#13063293C23116yescomplemented
234#13063293C23116yescomplemented
235#13063293C2318yescomplemented
236C4×D172C23116yescomplemented
237#13063287C23116yescomplemented
238#13063287C23116yescomplemented
239C4×C22⋊D43C23116yescomplemented
240C4×C22⋊D43C23116yescomplemented
241(C22⋊D43)⋊C4C23116yescomplemented
242#13063283C23116yescomplemented
243#13063282C2318yescomplemented
244C2×C4⋊Dic43C2312yescomplemented
245C2×C4⋊Dic43C2312yescomplemented
246C2×Dic43⋊C4C2312yescomplemented
247C2×Dic43⋊C4C2312yescomplemented
248C2×Dic43⋊C4C2312yescomplemented
249C2×Dic43⋊C4C2312yescomplemented
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2312yes—
252C2×C22⋊Dic43C2312yes—
253C2×C22⋊Dic43C2312yes—
254C2×C22⋊Dic43C2312yes—
255C2×C22⋊Dic43C2311yescharacteristic, complemented
256C2×C22⋊Dic43C2312yescomplemented
257C2×C22⋊Dic43C2312yescomplemented
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)⋊C4C2312yescomplemented
269C2×(C2×D43)⋊C4C2312yescomplemented
270C2×(C2×D43)⋊C4C2312yescomplemented
271C2×(C2×D43)⋊C4C2312yescomplemented
272C2×(C2×D43)⋊C4C2312yescomplemented
273C22⋊C4×D43C23116yescomplemented
274C22⋊C4×D43C23116yescomplemented
275C22⋊C4×D43C23116yescomplemented
276C22⋊C4×D43C23116yescomplemented
277C22⋊C4×D43C2318yescomplemented
278C22⋊C4×D43C2318yescomplemented
279C2×C4×Dic43C2311yescharacteristic, complemented
280C2×C4×Dic43C2312yescomplemented
281C2×C4×Dic43C2312yescomplemented
282C25×C43C2311yescharacteristic
283C22×D4×C43C2312yes—
284C22×D4×C43C2312yes—
285C22×D4×C43C2312yes—
286C22×D4×C43C2311yescharacteristic
287C22×D4×C43C2312yes—
288C22×D4×C43C2311yescharacteristic, complemented
289C22×D4×C43C2312yescomplemented
290C23×C4×C43C2312yescomplemented
291C23×C4×C43C2311yescharacteristic, complemented
292#127×C43C2318yescomplemented
293#126×C43C23116yescomplemented
294#123×C43C2318yescomplemented
295#123×C43C23116yescomplemented
296#121×C43C23116yescomplemented
297#121×C43C23116yescomplemented
298#121×C43C23116yescomplemented
299#120×C43C23116yescomplemented
300#120×C43C2318yescomplemented
301C2×C4⋊C4×C43C2312yescomplemented
302C2×C4⋊C4×C43C2312yescomplemented
303C2×C4⋊C4×C43C2312yescomplemented
304C2×C22⋊C4×C43C2312yes—
305C2×C22⋊C4×C43C2312yes—
306C2×C22⋊C4×C43C2312yes—
307C2×C22⋊C4×C43C2312yes—
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic, complemented
310C2×C22⋊C4×C43C2312yescomplemented
311C2×C42×C43C2311yescharacteristic, complemented
312C24×C43—44no—
313C24×C43—42no—
314C24×C43C2412yes—
315C24×C43C2411yescharacteristic
316C24×C43C2411yescharacteristic
317C24×C43C2412yes—
318C24×C43C2414yes—
319C23×D43—28no—
320C23×D43—28no—
321C23×D43—28no—
322C23×D43—24no—
323C23×D43—28no—
324C23×D43—28no—
325C23×D43—24no—
326C23×D43—432no—
327C23×D43—416no—
328C23×D43—42no—
329C23×D43—44no—
330C23×D43—44no—
331C23×D43—44no—
332C23×D43—44no—
333C23×D43—44no—
334C23×D43—44no—
335C23×D43—44no—
336C23×D43—44no—
337C23×D43—42no—
338C23×D43—464no—
339C23×D43C2411yescharacteristic
340C23×D43C2412yes—
341C23×D43C2411yescharacteristic
342C23×D43C2414yes—
343C23×D43C2418yes—
344C23×D43C2411yescharacteristic
345C23×D43C2412yes—
346C23×D43C2418yes—
347C23×D43C2414yes—
348C23×D43C2414yes—
349C23×D43C2418yes—
350C23×D43C2414yescomplemented
351C2×D4×C43—44no—
352C2×D4×C43—44no—
353C2×D4×C43—44no—
354C2×D4×C43—44no—
355C2×D4×C43—42no—
356C2×D4×C43—44no—
357C2×D4×C43—42no—
358C2×D4×C43C2418yes—
359C2×D4×C43C2418yes—
360C2×D4×C43C2418yes—
361C2×D4×C43C2414yes—
362C2×D4×C43C2418yes—
363C2×D4×C43C2414yescomplemented
364C2×D4×C43C2418yescomplemented
365C22×C4×C43—42no—
366C22×C4×C43—44no—
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2412yes—
369C22×C4×C43C2412yes—
370C22×C4×C43C2412yes—
371C22×C4×C43C2412yes—
372C22×C4×C43C2418yescomplemented
373C22×C4×C43C2414yescomplemented
374C2×C22⋊D43—28no—
375C2×C22⋊D43—28no—
376C2×C22⋊D43—28no—
377C2×C22⋊D43—44no—
378C2×C22⋊D43—44no—
379C2×C22⋊D43—44no—
380C2×C22⋊D43—44no—
381C2×C22⋊D43—42no—
382C2×C22⋊D43—44no—
383C2×C22⋊D43—42no—
384C2×C22⋊D43—44no—
385C2×C22⋊D43—44no—
386C2×C22⋊D43C2418yes—
387C2×C22⋊D43C2418yes—
388C2×C22⋊D43C2418yes—
389C2×C22⋊D43C2414yes—
390C2×C22⋊D43C2418yes—
391C2×C22⋊D43C2418yes—
392C2×C22⋊D43C2418yes—
393C2×C22⋊D43C2418yes—
394C2×C22⋊D43C2418yes—
395C2×C22⋊D43C2414yes—
396C2×C22⋊D43C2418yescomplemented
397C2×C22⋊D43C2418yescomplemented
398C22×Dic43—44no—
399C22×Dic43C2412yes—
400C22×Dic43C2412yes—
401C22×Dic43C2412yes—
402C22×Dic43C2412yes—
403C22×Dic43C2411yescharacteristic
404C22×Dic43C2418yescomplemented
405#10621900—416no—
406D4×D43—416no—
407D4×D43—432no—
408D4×D43—432no—
409D4×D43—432no—
410D4×D43—432no—
411D4×D43—432no—
412#10621898—432no—
413C2×D172—28no—
414C2×D172—28no—
415C2×D172—28no—
416C2×D172—44no—
417C2×D172—42no—
418C2×D172—44no—
419C2×D172—416no—
420C2×D172C2418yes—
421C2×D172C2418yes—
422C2×D172C2418yes—
423C2×D172C2418yes—
424C2×D172C2414yes—
425C2×D172C2418yescomplemented
426C2×C4×D43—24no—
427C2×C4×D43—28no—
428C2×C4×D43—44no—
429C2×C4×D43—44no—
430C2×C4×D43—44no—
431C2×C4×D43—44no—
432C2×C4×D43—44no—
433C2×C4×D43C2414yes—
434C2×C4×D43C2418yes—
435C2×C4×D43C2418yes—
436C2×C4×D43C2418yes—
437C2×C4×D43C2418yes—
438C2×C4×D43C2418yescomplemented
439C2×C4×D43C2418yescomplemented
440C2×Dic86—42no—
441C2×Dic86—44no—
442C2×Dic86C2414yescomplemented
443C2×Dic86C2418yescomplemented
444C4⋊C4×C43C2418yescomplemented
445C4⋊C4×C43C2418yescomplemented
446C4⋊C4×C43C2418yescomplemented
447C22⋊C4×C43C2418yes—
448C22⋊C4×C43C2418yes—
449C22⋊C4×C43C2418yes—
450C22⋊C4×C43C2418yes—
451C22⋊C4×C43C2414yes—
452C22⋊C4×C43C2414yescomplemented
453C22⋊C4×C43C2418yescomplemented
454C42×C43C2414yescomplemented
455C22⋊Dic43C2414yes—
456C22⋊Dic43C2418yes—
457C22⋊Dic43C2418yes—
458C22⋊Dic43C2418yes—
459C22⋊Dic43C2418yes—
460C22⋊Dic43C2414yescomplemented
461C22⋊Dic43C2418yescomplemented
462C22⋊Dic43C2418yescomplemented
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
477C4⋊Dic43C2418yescomplemented
478C4⋊Dic43C2418yescomplemented
479Dic43⋊C4C2418yescomplemented
480Dic43⋊C4C2418yescomplemented
481Dic43⋊C4C2418yescomplemented
482Dic43⋊C4C2418yescomplemented
483C4×Dic43C2414yescomplemented
484C4×Dic43C2418yescomplemented
485C4×Dic43C2418yescomplemented
486C23×C43—24no—
487C23×C43—24no—
488C23×C43—24no—
489C23×C43—24no—
490C23×C43—22no—
491C23×C43—24no—
492C23×C43—24no—
493C23×C43—24no—
494C23×C43—24no—
495C23×C43—22no—
496C23×C43—48no—
497C23×C43—44no—
498C23×C43—416no—
499C23×C43C2512yes—
500C23×C43C2514yes—
501C23×C43C2512yes—
502C23×C43C2514yes—
503C23×C43C2511yescharacteristic
504C22×D43—24no—
505C22×D43—24no—
506C22×D43—24no—
507C22×D43—24no—
508C22×D43—24no—
509C22×D43—24no—
510C22×D43—24no—
511C22×D43—22no—
512C22×D43—24no—
513C22×D43—22no—
514C22×D43—216no—
515C22×D43—216no—
516C22×D43—216no—
517C22×D43—28no—
518C22×D43—216no—
519C22×D43—28no—
520C22×D43—216no—
521C22×D43—44no—
522C22×D43—48no—
523C22×D43—48no—
524C22×D43—48no—
525C22×D43—48no—
526C22×D43—416no—
527C22×D43—432no—
528C22×D43—44no—
529C22×D43—48no—
530C22×D43—48no—
531C22×D43—48no—
532C22×D43—48no—
533C22×D43—416no—
534C22×D43—432no—
535C22×D43—4128no—
536C22×D43—88no—
537C22×D43—816no—
538C22×D43—88no—
539C22×D43H(5,𝔽2)14yes—
540C22×D43H(5,𝔽2)18yes—
541C22×D43C2512yes—
542C22×D43C2514yes—
543C22×D43C2512yes—
544C22×D43C2512yes—
545C22×D43C2514yes—
546D4×C43—44no—
547D4×C43—48no—
548D4×C43—48no—
549D4×C43—48no—
550D4×C43—48no—
551D4×C43—48no—
552D4×C43—44no—
553C2×C4×C43—22no—
554C2×C4×C43—24no—
555C2×C4×C43—24no—
556C2×C4×C43—24no—
557C2×C4×C43—24no—
558C2×C4×C43—44no—
559C2×C4×C43—48no—
560C2×C4×C43C2514yes—
561C2×C4×C43C2512yes—
562C2×C4×C43C2514yes—
563C2×C4×C43C2514yes—
564C2×C4×C43C2514yes—
565C22⋊D43—216no—
566C22⋊D43—216no—
567C22⋊D43—216no—
568C22⋊D43—48no—
569C22⋊D43—48no—
570C22⋊D43—48no—
571C22⋊D43—48no—
572C22⋊D43—48no—
573C22⋊D43—44no—
574C22⋊D43—44no—
575C22⋊D43—48no—
576C22⋊D43—48no—
577C2×Dic43—24no—
578C2×Dic43—24no—
579C2×Dic43—24no—
580C2×Dic43—22no—
581C2×Dic43—24no—
582C2×Dic43—48no—
583C2×Dic43C2514yes—
584C2×Dic43C2514yes—
585C2×Dic43C2514yes—
586C2×Dic43C2514yes—
587C2×Dic43C2512yes—
588D172—216no—
589D172—216no—
590D172—216no—
591D172—48no—
592D172—44no—
593D172—48no—
594C4×D43—216no—
595C4×D43—28no—
596C4×D43—48no—
597C4×D43—48no—
598C4×D43—48no—
599C4×D43—48no—
600C4×D43—48no—
601Dic86—48no—
602Dic86—44no—
603C2×#3532—431nomaximal, Sylow
604C22×C43—24no—
605C22×C43—24no—
606C22×C43—24no—
607C22×C43—24no—
608C22×C43—22no—
609C22×C43—22no—
610C22×C43—24no—
611C22×C43—24no—
612C22×C43—24no—
613C22×C43—24no—
614C22×C43—416no—
615C22×C43—44no—
616C22×C43—48no—
617C22×C43—44no—
618C22×C43—48no—
619C22×C43C2×H(5,𝔽2)14yes—
620C22×C43C2×H(5,𝔽2)12yes—
621C22×C43C2611yescharacteristic
622C2×D43—24no—
623C2×D43—24no—
624C2×D43—24no—
625C2×D43—28no—
626C2×D43—216no—
627C2×D43—24no—
628C2×D43—22no—
629C2×D43—24no—
630C2×D43—22no—
631C2×D43—24no—
632C2×D43—24no—
633C2×D43—24no—
634C2×D43—416no—
635C2×D43—432no—
636C2×D43—416no—
637C2×D43—432no—
638C2×D43—44no—
639C2×D43—44no—
640C2×D43—48no—
641C2×D43—88no—
642C2×D43—816no—
643C2×D43—88no—
644C2×D43C2×H(5,𝔽2)14yes—
645C2×D43C2×H(5,𝔽2)18yes—
646C4×C43—22no—
647C4×C43—24no—
648C4×C43—24no—
649C4×C43—24no—
650C4×C43—24no—
651Dic43—24no—
652Dic43—24no—
653Dic43—24no—
654Dic43—22no—
655Dic43—24no—
656#3532—4332no—
657C2×H(3,𝔽4)—431no—
658C2×#560—432no—
659C2×#560D4311yescharacteristic, complemented
660C2×#551—432no—
661C2×#551—431no—
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—431no—
673C2×#534—432no—
674C22×#120—431no—
675C22×#120—432no—
676C2×C43—42no—
677C2×C43—44no—
678C2×C43—42no—
679C2×C43—44no—
680C2×C43#353214yescomplemented
681C2×C43C22×H(5,𝔽2)12yes—
682C2×C43C22×H(5,𝔽2)11yescharacteristic
683D43—24no—
684D43—28no—
685D43—42no—
686D43—42no—
687D43—44no—
688C26—431no—
689C22×#41—431no—
690C22×#41—432no—
691C23×D4—431no—
692C23×D4—432no—
693C23×D4—432no—
694C23×D4—432no—
695C23×D4—432no—
696C23×D4—432no—
697C23×D4—431no—
698H(3,𝔽4)—4316no—
699#560—4332no—
700#560C2×D43116yescomplemented
701#551—4332no—
702#551—4316no—
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—4316no—
714#534—4332no—
715C2×#127—432no—
716C2×#127—431no—
717C2×#127C2×D4311yescharacteristic, complemented
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×#124—431no—
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⋊Q8—432no—
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×#121C2×D4312yescomplemented
755C2×#121C2×D4312yescomplemented
756C2×#121C2×D4312yescomplemented
757C2×#120—431no—
758C2×#120—432no—
759C2×#120—431no—
760C2×#120—432no—
761C2×#120—432no—
762C2×#120—432no—
763C2×#120—432no—
764C2×#120—431no—
765C2×#120—432no—
766C2×#120—432no—
767C2×#120—432no—
768C2×#120—4316no—
769C2×#120—4332no—
770C2×#120—432no—
771C2×#120—432no—
772C2×#120—432no—
773C2×#120—432no—
774C2×#120—431no—
775C2×#120—431no—
776C2×#120—432no—
777C2×#120C2×D4312yescomplemented
778C2×#120C2×D4311yescharacteristic, complemented
779C2×C4×D4—432no—
780C2×C4×D4—432no—
781C2×C4×D4—432no—
782C2×C4×D4—432no—
783C2×C4×D4—432no—
784C2×C4×D4—432no—
785C2×#117—432no—
786C2×#117—431no—
787C22×C22⋊C4—432no—
788C22×C22⋊C4—431no—
789C22×C22⋊C4—432no—
790C22×C22⋊C4—432no—
791C22×C22⋊C4—432no—
792C22×C22⋊C4—432no—
793C22×C22⋊C4—431no—
794C43C2×#353211yescharacteristic, complemented, Sylow
795C25—431no—
796C25—432no—
797C25—432no—
798C25—431no—
799C25—432no—
800C25—431no—
801C25—438no—
802C25—431no—
803C25—1724no—
804C25—1728no—
805C25C22×D4311yescharacteristic
806C2×#41—438no—
807C2×#41—4316no—
808C2×#41—1728no—
809C2×#41—1724no—
810C22×Q8—432no—
811C22×Q8—431no—
812C22×D4—432no—
813C22×D4—432no—
814C22×D4—432no—
815C22×D4—431no—
816C22×D4—432no—
817C22×D4—432no—
818C22×D4—432no—
819C22×D4—431no—
820C22×D4—432no—
821C22×D4—432no—
822C22×D4—432no—
823C22×D4—432no—
824C22×D4—438no—
825C22×D4—4316no—
826C22×D4—4316no—
827C22×D4—4316no—
828C22×D4—4316no—
829C22×D4—4316no—
830C22×D4—432no—
831C22×D4—432no—
832C22×D4—432no—
833C22×D4—432no—
834C22×D4—431no—
835C22×D4—432no—
836C22×D4—438no—
837C22×D4—1724no—
838C22×D4—1728no—
839C22×D4—1724no—
840C22×D4—1728no—
841C22×D4—1728no—
842C22×D4—1728no—
843C22×D4—1728no—
844C22×D4C22×D4312yes—
845C22×D4C22×D4311yescharacteristic
846C22×D4C22×D4312yes—
847C22×D4C22×D4312yes—
848C22×D4C22×D4312yes—
849C22×D4C22×D4311yescharacteristic, complemented
850C22×D4C22×D4312yescomplemented
851C23×C4—432no—
852C23×C4—432no—
853C23×C4—431no—
854C23×C4—432no—
855C23×C4—432no—
856C23×C4—432no—
857C23×C4—432no—
858C23×C4—432no—
859C23×C4C22×D4312yescomplemented
860C23×C4C22×D4311yescharacteristic, complemented
861#127—4316no—
862#127—438no—
863#127C22×D4318yescomplemented
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#124—438no—
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⋊Q8—4316no—
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#121C22×D43116yescomplemented
901#121C22×D43116yescomplemented
902#121C22×D43116yescomplemented
903#120—438no—
904#120—4316no—
905#120—4316no—
906#120—4316no—
907#120—4316no—
908#120—438no—
909#120—4316no—
910#120—438no—
911#120—4316no—
912#120—4316no—
913#120—4316no—
914#120—4316no—
915#120—4316no—
916#120—4316no—
917#120—4316no—
918#120—438no—
919#120—438no—
920#120—4316no—
921#120C22×D43116yescomplemented
922#120C22×D4318yescomplemented
923C4×D4—4316no—
924C4×D4—4316no—
925C4×D4—4316no—
926C4×D4—4316no—
927C4×D4—4316no—
928C4×D4—4316no—
929#117—4316no—
930#117—438no—
931C2×C4⋊C4—432no—
932C2×C4⋊C4—432no—
933C2×C4⋊C4—432no—
934C2×C4⋊C4—432no—
935C2×C4⋊C4—432no—
936C2×C4⋊C4—432no—
937C2×C4⋊C4C22×D4312yescomplemented
938C2×C4⋊C4C22×D4312yescomplemented
939C2×C4⋊C4C22×D4312yescomplemented
940C2×C22⋊C4—431no—
941C2×C22⋊C4—432no—
942C2×C22⋊C4—432no—
943C2×C22⋊C4—432no—
944C2×C22⋊C4—432no—
945C2×C22⋊C4—431no—
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—432no—
955C2×C22⋊C4—432no—
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—4316no—
963C2×C22⋊C4—438no—
964C2×C22⋊C4—4316no—
965C2×C22⋊C4—4316no—
966C2×C22⋊C4—4316no—
967C2×C22⋊C4—4316no—
968C2×C22⋊C4—438no—
969C2×C22⋊C4C22×D4312yes—
970C2×C22⋊C4C22×D4312yes—
971C2×C22⋊C4C22×D4312yes—
972C2×C22⋊C4C22×D4312yes—
973C2×C22⋊C4C22×D4311yescharacteristic
974C2×C22⋊C4C22×D4311yescharacteristic, complemented
975C2×C22⋊C4C22×D4312yescomplemented
976C2×C42—431no—
977C2×C42—432no—
978C2×C42—432no—
979C2×C42C22×D4311yescharacteristic, complemented
980C24—44no—
981C24—42no—
982C24—431no—
983C24—432no—
984C24—431no—
985C24—432no—
986C24—431no—
987C24—434no—
988C24—438no—
989C24—438no—
990C24—434no—
991C24—438no—
992C24—434no—
993C24—434no—
994C24—864no—
995C24—868no—
996C24—868no—
997C24—868no—
998C24—868no—
999C24—864no—
1000C24—868no—
1001C24—1724no—
1002C24—1722no—
1003C24—1724no—
1004C24—1724no—
1005C24—1724no—
1006C24—1722no—
1007C24—1724no—
1008C24—1724no—
1009C24—1724no—
1010C24—1724no—
1011C24—17216no—
1012C24—17232no—
1013C24—17264no—
1014C24C23×D4311yescharacteristic
1015C24C23×D4312yes—
1016C24C23×D4311yescharacteristic
1017C24C23×D4312yes—
1018C24C23×D4314yes—
1019#41—17232no—
1020#41—17216no—
1021C2×Q8—438no—
1022C2×Q8—434no—
1023C2×Q8—1724no—
1024C2×Q8—1722no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—438no—
1033C2×D4—438no—
1034C2×D4—438no—
1035C2×D4—434no—
1036C2×D4—438no—
1037C2×D4—438no—
1038C2×D4—438no—
1039C2×D4—434no—
1040C2×D4—438no—
1041C2×D4—438no—
1042C2×D4—438no—
1043C2×D4—438no—
1044C2×D4—438no—
1045C2×D4—438no—
1046C2×D4—438no—
1047C2×D4—438no—
1048C2×D4—434no—
1049C2×D4—438no—
1050C2×D4—868no—
1051C2×D4—868no—
1052C2×D4—868no—
1053C2×D4—868no—
1054C2×D4—868no—
1055C2×D4—868no—
1056C2×D4—1724no—
1057C2×D4—1724no—
1058C2×D4—1722no—
1059C2×D4—17216no—
1060C2×D4—17232no—
1061C2×D4—17216no—
1062C2×D4—1722no—
1063C2×D4—1722no—
1064C2×D4—1724no—
1065C2×D4—1724no—
1066C2×D4—1724no—
1067C2×D4—1724no—
1068C2×D4—1724no—
1069C2×D4—1724no—
1070C2×D4—1724no—
1071C2×D4—17232no—
1072C2×D4—17232no—
1073C2×D4—17232no—
1074C2×D4—17232no—
1075C2×D4C23×D4318yes—
1076C2×D4C23×D4314yes—
1077C2×D4C23×D4318yes—
1078C2×D4C23×D4318yes—
1079C2×D4C23×D4318yes—
1080C2×D4C23×D4314yescomplemented
1081C2×D4C23×D4318yescomplemented
1082C22×C4—42no—
1083C22×C4—44no—
1084C22×C4—432no—
1085C22×C4—432no—
1086C22×C4—432no—
1087C22×C4—432no—
1088C22×C4—431no—
1089C22×C4—438no—
1090C22×C4—438no—
1091C22×C4—434no—
1092C22×C4—438no—
1093C22×C4—438no—
1094C22×C4—438no—
1095C22×C4—438no—
1096C22×C4—438no—
1097C22×C4—868no—
1098C22×C4—864no—
1099C22×C4—1724no—
1100C22×C4—1724no—
1101C22×C4—1724no—
1102C22×C4—1724no—
1103C22×C4—1724no—
1104C22×C4—1724no—
1105C22×C4C23×D4311yescharacteristic
1106C22×C4C23×D4312yes—
1107C22×C4C23×D4312yes—
1108C22×C4C23×D4312yes—
1109C22×C4C23×D4312yes—
1110C22×C4C23×D4318yescomplemented
1111C22×C4C23×D4314yescomplemented
1112C4⋊C4—438no—
1113C4⋊C4—438no—
1114C4⋊C4—438no—
1115C4⋊C4—438no—
1116C4⋊C4—438no—
1117C4⋊C4—438no—
1118C4⋊C4C23×D4318yescomplemented
1119C4⋊C4C23×D4318yescomplemented
1120C4⋊C4C23×D4318yescomplemented
1121C22⋊C4—434no—
1122C22⋊C4—438no—
1123C22⋊C4—438no—
1124C22⋊C4—438no—
1125C22⋊C4—438no—
1126C22⋊C4—434no—
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⋊C4—438no—
1143C22⋊C4C23×D4318yes—
1144C22⋊C4C23×D4318yes—
1145C22⋊C4C23×D4318yes—
1146C22⋊C4C23×D4318yes—
1147C22⋊C4C23×D4314yes—
1148C22⋊C4C23×D4314yescomplemented
1149C22⋊C4C23×D4318yescomplemented
1150C42—434no—
1151C42—438no—
1152C42—438no—
1153C42C23×D4314yescomplemented
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—22no—
1164C23—48no—
1165C23—44no—
1166C23—416no—
1167C23—434no—
1168C23—438no—
1169C23—432no—
1170C23—434no—
1171C23—432no—
1172C23—434no—
1173C23—432no—
1174C23—868no—
1175C23—8616no—
1176C23—8616no—
1177C23—8616no—
1178C23—8616no—
1179C23—868no—
1180C23—8616no—
1181C23—864no—
1182C23—864no—
1183C23—864no—
1184C23—864no—
1185C23—864no—
1186C23—864no—
1187C23—864no—
1188C23—862no—
1189C23—864no—
1190C23—862no—
1191C23—3448no—
1192C23—34416no—
1193C23—3448no—
1194C23—1728no—
1195C23—1724no—
1196C23—1728no—
1197C23—1728no—
1198C23—1728no—
1199C23—1724no—
1200C23—1728no—
1201C23—1728no—
1202C23—1728no—
1203C23—1728no—
1204C23—17232no—
1205C23—17216no—
1206C23—17216no—
1207C23—17232no—
1208C23—172128no—
1209C23C24×D4312yes—
1210C23C24×D4314yes—
1211C23C24×D4312yes—
1212C23C24×D4314yes—
1213C23C24×D4311yescharacteristic
1214Q8—1728no—
1215Q8—1724no—
1216D4—48no—
1217D4—48no—
1218D4—48no—
1219D4—44no—
1220D4—48no—
1221D4—48no—
1222D4—44no—
1223D4—8616no—
1224D4—8616no—
1225D4—8616no—
1226D4—8616no—
1227D4—8616no—
1228D4—8616no—
1229D4—1728no—
1230D4—1728no—
1231D4—1724no—
1232D4—1724no—
1233D4—1724no—
1234D4—1728no—
1235D4—1728no—
1236D4—1728no—
1237D4—1728no—
1238D4—1728no—
1239D4—1728no—
1240D4—1728no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—22no—
1245C2×C4—24no—
1246C2×C4—44no—
1247C2×C4—48no—
1248C2×C4—434no—
1249C2×C4—434no—
1250C2×C4—434no—
1251C2×C4—434no—
1252C2×C4—432no—
1253C2×C4—8616no—
1254C2×C4—868no—
1255C2×C4—862no—
1256C2×C4—864no—
1257C2×C4—864no—
1258C2×C4—864no—
1259C2×C4—864no—
1260C2×C4—1728no—
1261C2×C4—1728no—
1262C2×C4—1728no—
1263C2×C4—1728no—
1264C2×C4—1728no—
1265C2×C4—1728no—
1266C2×C4C24×D4312yes—
1267C2×C4C24×D4314yes—
1268C2×C4C24×D4314yes—
1269C2×C4C24×D4314yes—
1270C2×C4C24×D4314yes—
1271C22—24no—
1272C22—22no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—416no—
1282C22—48no—
1283C22—44no—
1284C22—44no—
1285C22—48no—
1286C22—434no—
1287C22—438no—
1288C22—864no—
1289C22—864no—
1290C22—864no—
1291C22—868no—
1292C22—8616no—
1293C22—864no—
1294C22—864no—
1295C22—864no—
1296C22—864no—
1297C22—862no—
1298C22—864no—
1299C22—862no—
1300C22—3448no—
1301C22—34416no—
1302C22—3448no—
1303C22—17232no—
1304C22—17216no—
1305C22—17216no—
1306C22—17232no—
1307C22—1728no—
1308C22—1724no—
1309C22—1724no—
1310C22H(5,𝔽2)×D4314yes—
1311C22H(5,𝔽2)×D4312yes—
1312C22C25×D4311yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—24no—
1316C4—22no—
1317C4—24no—
1318C4—862no—
1319C4—864no—
1320C4—864no—
1321C4—864no—
1322C4—864no—
1323C2—44no—
1324C2—42no—
1325C2—42no—
1326C2—44no—
1327C2—864no—
1328C2—868no—
1329C2—1724no—
1330C2—1722no—
1331C2—1722no—
1332C2#1914874814yesdirect product factor
1333C2C2×H(5,𝔽2)×D4312yes—
1334C2C2×H(5,𝔽2)×D4311yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#560C2
socleC23×C43C25
hypercenterC2×#560D43
hypocenterC43C2×#3532
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #19148748C2direct (N × H)
2. C2×#14583642C2semidirect
3. C2×#14583638C2semidirect
4. C2×#14583577C2semidirect
5. C2×#14583574C2semidirect
6. C2×#14583546C2semidirect
7. C2×#14583541C2semidirect
8. C2×#14583538C2semidirect
9. C2×#14583534C2semidirect
10. C2×#14583533C2semidirect
11. C2×#14583488C2semidirect
12. C2×#14583485C2semidirect
13. C2×#14583481C2semidirect
14. C2×#14583465C2semidirect
15. C2×#14583462C2semidirect
16. C2×#14583460C2semidirect
17. C2×#14583457C2semidirect
18. C2×#120×D43C2semidirect
19. C2×#120×D43C2semidirect
20. C2×C43×#560C2semidirect
21. C25×D43C22semidirect
22. C22×#10621898C22semidirect
23. C22×#10621900C22semidirect
24. C23×D172C22semidirect
25. C22×D4×D43C22semidirect
26. C22×D4×D43C22semidirect
27. C22×D4×D43C22semidirect
28. C22×D4×D43C22semidirect
29. C22×D4×D43C22semidirect
30. C22×D4×D43C22semidirect
31. #14583642C22semidirect
32. #14583638C22semidirect
33. #14583577C22semidirect
34. #14583574C22semidirect
35. #14583546C22semidirect
36. #14583541C22semidirect
37. #14583538C22semidirect
38. #14583534C22semidirect
39. #14583533C22semidirect
40. #14583488C22semidirect
41. #14583485C22semidirect
42. #14583481C22semidirect
43. #14583465C22semidirect
44. #14583462C22semidirect
45. #14583460C22semidirect
46. #14583457C22semidirect
47. C2×#13063321C22semidirect
48. C2×#13063321C22semidirect
49. C2×#13063320C22semidirect
50. C2×#13063318C22semidirect
51. C2×#13063318C22semidirect
52. C2×#13063313C22semidirect
53. C2×#13063312C22semidirect
54. C2×#13063312C22semidirect
55. C2×#13063311C22semidirect
56. C2×#13063311C22semidirect
57. C2×#13063311C22semidirect
58. C2×#13063311C22semidirect
59. C2×#13063310C22semidirect
60. C2×#13063310C22semidirect
61. C2×#13063310C22semidirect
62. C2×#13063308C22semidirect
63. C2×#13063307C22semidirect
64. C2×#13063307C22semidirect
65. C2×#13063307C22semidirect
66. C2×#13063306C22semidirect
67. C2×#13063305C22semidirect
68. C2×#13063303C22semidirect
69. C2×#13063303C22semidirect
70. C2×#13063300C22semidirect
71. C2×#13063300C22semidirect
72. C2×#13063299C22semidirect
73. C2×#13063298C22semidirect
74. C2×#13063298C22semidirect
75. C2×#13063298C22semidirect
76. C2×#13063297C22semidirect
77. C2×#13063297C22semidirect
78. C2×#13063297C22semidirect
79. C2×#13063296C22semidirect
80. C2×#13063296C22semidirect
81. C2×#13063296C22semidirect
83. C2×#13063295C22semidirect
84. C2×#13063295C22semidirect
85. C2×#13063295C22semidirect
86. C2×#13063295C22semidirect
87. C2×#13063295C22semidirect
88. C2×#13063295C22semidirect
89. C2×#13063294C22semidirect
90. C2×#13063294C22semidirect
92. C2×#13063293C22semidirect
93. C2×#13063293C22semidirect
94. C2×#13063293C22semidirect
95. C2×#13063293C22semidirect
96. C2×#13063293C22semidirect
97. C2×#13063293C22semidirect
98. C2×#13063293C22semidirect
99. C2×#13063293C22semidirect
100. #120×D43C22semidirect
101. #120×D43C22semidirect
102. C2×C4×D172C22semidirect
103. C2×#13063287C22semidirect
104. C2×#13063287C22semidirect
105. C2×C4×C22⋊D43C22semidirect
106. C2×C4×C22⋊D43C22semidirect
107. C2×(C22⋊D43)⋊C4C22semidirect
108. C2×#13063283C22semidirect
109. C2×#13063282C22semidirect
110. C22×(C2×D43)⋊C4C22semidirect
111. C2×C22⋊C4×D43C22semidirect
112. C2×C22⋊C4×D43C22semidirect
113. C2×C22⋊C4×D43C22semidirect
114. C2×C22⋊C4×D43C22semidirect
115. C2×C22⋊C4×D43C22semidirect
116. C2×C22⋊C4×D43C22semidirect
117. C43×#560C22semidirect
118. C2×#127×C43C22semidirect
119. C2×#126×C43C22semidirect
120. C2×#123×C43C22semidirect
121. C2×#123×C43C22semidirect
122. C2×#121×C43C22semidirect
123. C2×#121×C43C22semidirect
124. C2×#121×C43C22semidirect
125. C2×#120×C43C22semidirect
126. C2×#120×C43C22semidirect
135. C24×D43C23semidirect
136. C24×D43C23semidirect
138. C2×#10621898C23semidirect
140. C2×#10621900C23semidirect
141. C22×Dic86C23semidirect
142. C22×Dic86C23semidirect
149. C22×D172C23semidirect
150. C22×D172C23semidirect
161. C22×C22⋊D43C23semidirect
162. C22×C22⋊D43C23semidirect
169. C2×D4×D43C23semidirect
170. C2×D4×D43C23semidirect
171. C2×D4×D43C23semidirect
172. C2×D4×D43C23semidirect
173. C2×D4×D43C23semidirect
174. C2×D4×D43C23semidirect
175. C23×Dic43C23semidirect
181. C22×C4×D43C23semidirect
182. C22×C4×D43C23semidirect
183. #13063321C23semidirect
184. #13063321C23semidirect
185. #13063320C23semidirect
186. #13063318C23semidirect
187. #13063318C23semidirect
188. #13063313C23semidirect
189. #13063312C23semidirect
190. #13063312C23semidirect
191. #13063311C23semidirect
192. #13063311C23semidirect
193. #13063311C23semidirect
194. #13063311C23semidirect
195. #13063310C23semidirect
196. #13063310C23semidirect
197. #13063310C23semidirect
198. #13063308C23semidirect
199. #13063307C23semidirect
200. #13063307C23semidirect
201. #13063307C23semidirect
202. #13063306C23semidirect
203. #13063305C23semidirect
204. #13063303C23semidirect
205. #13063303C23semidirect
206. #13063300C23semidirect
207. #13063300C23semidirect
208. #13063299C23semidirect
209. #13063298C23semidirect
210. #13063298C23semidirect
211. #13063298C23semidirect
212. #13063297C23semidirect
213. #13063297C23semidirect
214. #13063297C23semidirect
215. #13063296C23semidirect
216. #13063296C23semidirect
217. #13063296C23semidirect
219. #13063295C23semidirect
220. #13063295C23semidirect
221. #13063295C23semidirect
222. #13063295C23semidirect
223. #13063295C23semidirect
224. #13063295C23semidirect
225. #13063294C23semidirect
226. #13063294C23semidirect
228. #13063293C23semidirect
229. #13063293C23semidirect
230. #13063293C23semidirect
231. #13063293C23semidirect
232. #13063293C23semidirect
233. #13063293C23semidirect
234. #13063293C23semidirect
235. #13063293C23semidirect
236. C4×D172C23semidirect
237. #13063287C23semidirect
238. #13063287C23semidirect
239. C4×C22⋊D43C23semidirect
240. C4×C22⋊D43C23semidirect
241. (C22⋊D43)⋊C4C23semidirect
242. #13063283C23semidirect
243. #13063282C23semidirect
244. C2×C4⋊Dic43C23semidirect
245. C2×C4⋊Dic43C23semidirect
246. C2×Dic43⋊C4C23semidirect
247. C2×Dic43⋊C4C23semidirect
248. C2×Dic43⋊C4C23semidirect
249. C2×Dic43⋊C4C23semidirect
255. C2×C22⋊Dic43C23semidirect
256. C2×C22⋊Dic43C23semidirect
257. 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. C22⋊C4×D43C23semidirect
274. C22⋊C4×D43C23semidirect
275. C22⋊C4×D43C23semidirect
276. C22⋊C4×D43C23semidirect
277. C22⋊C4×D43C23semidirect
278. C22⋊C4×D43C23semidirect
279. C2×C4×Dic43C23semidirect
280. C2×C4×Dic43C23semidirect
281. C2×C4×Dic43C23semidirect
288. C22×D4×C43C23semidirect
289. C22×D4×C43C23semidirect
290. C23×C4×C43C23semidirect
291. C23×C4×C43C23semidirect
292. #127×C43C23semidirect
293. #126×C43C23semidirect
294. #123×C43C23semidirect
295. #123×C43C23semidirect
296. #121×C43C23semidirect
297. #121×C43C23semidirect
298. #121×C43C23semidirect
299. #120×C43C23semidirect
300. #120×C43C23semidirect
301. C2×C4⋊C4×C43C23semidirect
302. C2×C4⋊C4×C43C23semidirect
303. C2×C4⋊C4×C43C23semidirect
309. C2×C22⋊C4×C43C23semidirect
310. C2×C22⋊C4×C43C23semidirect
311. C2×C42×C43C23semidirect
350. C23×D43C24semidirect
363. C2×D4×C43C24semidirect
364. C2×D4×C43C24semidirect
372. C22×C4×C43C24semidirect
373. C22×C4×C43C24semidirect
396. C2×C22⋊D43C24semidirect
397. C2×C22⋊D43C24semidirect
404. C22×Dic43C24semidirect
425. C2×D172C24semidirect
438. C2×C4×D43C24semidirect
439. C2×C4×D43C24semidirect
442. C2×Dic86C24semidirect
443. C2×Dic86C24semidirect
444. C4⋊C4×C43C24semidirect
445. C4⋊C4×C43C24semidirect
446. C4⋊C4×C43C24semidirect
452. C22⋊C4×C43C24semidirect
453. C22⋊C4×C43C24semidirect
454. C42×C43C24semidirect
460. C22⋊Dic43C24semidirect
461. C22⋊Dic43C24semidirect
462. C22⋊Dic43C24semidirect
472. (C2×D43)⋊C4C24semidirect
473. (C2×D43)⋊C4C24semidirect
474. (C2×D43)⋊C4C24semidirect
475. (C2×D43)⋊C4C24semidirect
476. (C2×D43)⋊C4C24semidirect
477. C4⋊Dic43C24semidirect
478. C4⋊Dic43C24semidirect
479. Dic43⋊C4C24semidirect
480. Dic43⋊C4C24semidirect
481. Dic43⋊C4C24semidirect
482. Dic43⋊C4C24semidirect
483. C4×Dic43C24semidirect
484. C4×Dic43C24semidirect
485. C4×Dic43C24semidirect
659. C2×#560D43semidirect
680. C2×C43#3532semidirect
700. #560C2×D43semidirect
717. C2×#127C2×D43semidirect
721. C2×#126C2×D43semidirect
737. C2×#123C2×D43semidirect
738. C2×#123C2×D43semidirect
754. C2×#121C2×D43semidirect
755. C2×#121C2×D43semidirect
756. C2×#121C2×D43semidirect
777. C2×#120C2×D43semidirect
778. C2×#120C2×D43semidirect
794. C43C2×#3532semidirect
849. C22×D4C22×D43semidirect
850. C22×D4C22×D43semidirect
859. C23×C4C22×D43semidirect
860. C23×C4C22×D43semidirect
863. #127C22×D43semidirect
867. #126C22×D43semidirect
883. #123C22×D43semidirect
884. #123C22×D43semidirect
900. #121C22×D43semidirect
901. #121C22×D43semidirect
902. #121C22×D43semidirect
921. #120C22×D43semidirect
922. #120C22×D43semidirect
937. C2×C4⋊C4C22×D43semidirect
938. C2×C4⋊C4C22×D43semidirect
939. C2×C4⋊C4C22×D43semidirect
974. C2×C22⋊C4C22×D43semidirect
975. C2×C22⋊C4C22×D43semidirect
979. C2×C42C22×D43semidirect
1080. C2×D4C23×D43semidirect
1081. C2×D4C23×D43semidirect
1110. C22×C4C23×D43semidirect
1111. C22×C4C23×D43semidirect
1118. C4⋊C4C23×D43semidirect
1119. C4⋊C4C23×D43semidirect
1120. C4⋊C4C23×D43semidirect
1148. C22⋊C4C23×D43semidirect
1149. C22⋊C4C23×D43semidirect
1153. C42C23×D43semidirect
1332. C2#19148748direct (N × H)

Maximal subgroups

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

subgroupindex
#191487482
C2×#145836422
C2×#145836382
C2×#145835772
C2×#145835742
C2×#145835462
C2×#145835412
C2×#145835382
C2×#145835342
C2×#145835332
C2×#145834882
C2×#145834852
C2×#145834812
C2×#145834652
C2×#145834622
C2×#145834602
C2×#145834572
C2×#120×D432
C2×C43×#5602
C2×#353243