Finite Group Databasebeta

← C2×#19148745 #26003714

Subgroups — C2×#19148745 #26003714

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#19148745C2132yesmaximal, direct product factor
2C2×#14583642C211yesmaximal, characteristic, complemented
3C2×#14583637C212yesmaximal, complemented
4C2×#14583636C211yesmaximal, characteristic, complemented
5C2×#14583580C211yesmaximal, characteristic, complemented
6C2×#14583578C212yesmaximal, complemented
7C2×#14583543C212yesmaximal, complemented
8C2×#14583538C212yesmaximal, complemented
9C2×#14583536C212yesmaximal, complemented
10C2×D4×C22⋊D43C212yesmaximal, complemented
11C2×#14583486C212yesmaximal, complemented
12C2×#14583482C212yesmaximal, complemented
13C2×#14583481C212yesmaximal, complemented
14C2×#14583464C212yesmaximal, complemented
15C2×#14583462C211yesmaximal, characteristic, complemented
16C2×#14583459C211yesmaximal, characteristic, complemented
17C2×#14583458C212yesmaximal, complemented
18C22×#13063293C212yesmaximal, complemented
19C2×#120×D43C211yesmaximal, characteristic, complemented
20C2×D42×C43C211yesmaximal, characteristic, complemented
21C25×D43C2211yescharacteristic, complemented
22C22×#10621900C2212yescomplemented
23C22×#10621900C2211yescharacteristic, complemented
24C23×C22⋊D43C2212yescomplemented
25C23×C22⋊D43C2212yescomplemented
26C23×C22⋊D43C2211yescharacteristic, complemented
27C22×D4×D43C2212yescomplemented
28C22×D4×D43C2211yescharacteristic, complemented
29#14583642C22116yescomplemented
30#14583637C22132yescomplemented
31#14583636C22116yescomplemented
32#14583580C22116yescomplemented
33#14583578C22132yescomplemented
34#14583543C22132yescomplemented
35#14583538C22132yescomplemented
36#14583536C22132yescomplemented
37D4×C22⋊D43C22132yescomplemented
38#14583486C22132yescomplemented
39#14583482C22132yescomplemented
40#14583481C22132yescomplemented
41#14583464C22132yescomplemented
42#14583462C22116yescomplemented
43#14583459C22116yescomplemented
44#14583458C22132yescomplemented
45C2×#13063321C2212yescomplemented
46C2×#13063321C2211yescharacteristic, complemented
47C2×#13063320C2212yescomplemented
48C2×#13063320C2212yescomplemented
49C2×#13063319C2212yescomplemented
50C2×#13063318C2212yescomplemented
51C2×#13063313C2211yescharacteristic, complemented
52C2×#13063312C2212yescomplemented
53C2×#13063312C2211yescharacteristic, complemented
54C2×#13063311C2212yescomplemented
55C2×#13063311C2212yescomplemented
56C2×#13063311C2212yescomplemented
57C2×#13063311C2212yescomplemented
58C2×#13063310C2212yescomplemented
59C2×#13063309C2212yescomplemented
60C2×#13063309C2211yescharacteristic, complemented
61C2×#13063308C2212yescomplemented
62C2×#13063308C2212yescomplemented
63C2×#13063307C2212yescomplemented
64C2×#13063306C2212yescomplemented
65C2×#13063306C2211yescharacteristic, complemented
66C2×#13063306C2212yescomplemented
67C2×#13063306C2212yescomplemented
68C2×#13063304C2212yescomplemented
69C2×#13063303C2212yescomplemented
70C2×#13063302C2212yescomplemented
71C2×#13063299C2212yescomplemented
72C2×#13063298C2212yescomplemented
73C2×#13063298C2212yescomplemented
74C2×#13063297C2212yescomplemented
75C2×#13063297C2212yescomplemented
76C2×#13063297C2212yescomplemented
77C2×#13063297C2212yescomplemented
78C2×#13063297C2212yescomplemented
79C2×#13063297C2212yescomplemented
80C2×#13063297C2212yescomplemented
81C2×#13063297C2212yescomplemented
82C2×#13063296C2212yescomplemented
83C2×#13063296C2212yescomplemented
84C2×#13063295C2212yescomplemented
85C2×#13063295C2211yescharacteristic, complemented
86C2×#13063294C2211yescharacteristic, complemented
87C2×#13063294C2212yescomplemented
88C2×#13063294C2212yescomplemented
89C2×#13063294C2211yescharacteristic, complemented
90C2×#13063293C2212yes—
91C2×#13063293C2212yescomplemented
92C2×#13063293C2212yescomplemented
93C2×#13063293C2211yescharacteristic, complemented
94C2×#13063293C2212yescomplemented
95C2×#13063293C2212yescomplemented
96C2×#13063293C2212yescomplemented
97C2×#13063293C2212yescomplemented
98C2×#13063293C2212yescomplemented
99C2×#13063293C2212yescomplemented
100C2×#13063293C2212yescomplemented
101C2×#13063293C22132yescomplemented
102#120×D43C22116yescomplemented
103C2×D4×Dic43C2212yescomplemented
104C2×D4×Dic43C2212yescomplemented
105C2×C4×C22⋊D43C2212yescomplemented
106C2×C4×C22⋊D43C2212yescomplemented
107C2×(C22⋊D43)⋊C4C2212yescomplemented
108C2×#13063282C2211yescharacteristic, complemented
109C2×#13063281C2212yescomplemented
110C22×C22⋊Dic43C2212yescomplemented
111C22×C22⋊Dic43C2212yescomplemented
112C22×(C2×D43)⋊C4C2212yescomplemented
113C22×(C2×D43)⋊C4C2212yescomplemented
114C2×C22⋊C4×D43C2212yescomplemented
115C2×C22⋊C4×D43C2211yescharacteristic, complemented
116C2×C22⋊C4×D43C2211yescharacteristic, complemented
117C23×D4×C43C2212yescomplemented
118C23×D4×C43C2212yescomplemented
119D42×C43C22116yescomplemented
120C2×#127×C43C2211yescharacteristic, complemented
121C2×#121×C43C2212yescomplemented
122C2×#121×C43C2212yescomplemented
123C2×#120×C43C2211yescharacteristic
124C2×#120×C43C2212yescomplemented
125C2×#120×C43C2211yescharacteristic, complemented
126C2×C4×D4×C43C2212yescomplemented
127C24×D43—44no—
128C24×D43—48no—
129C24×D43C2312yes—
130C24×D43C2311yescharacteristic
131C24×D43C2311yescharacteristic
132C24×D43C2312yes—
133C24×D43C2311yescharacteristic
134C24×D43C2318yescomplemented
135C2×#10621900—44no—
136C2×#10621900—48no—
137C2×#10621900C2318yescomplemented
138C2×#10621900C23116yescomplemented
139C22×Dic86C2311yescharacteristic, complemented
140C22×Dic86C2312yescomplemented
141C22×D172C2311yescharacteristic
142C22×D172C2312yes—
143C22×C22⋊D43—48no—
144C22×C22⋊D43—48no—
145C22×C22⋊D43—44no—
146C22×C22⋊D43C2312yes—
147C22×C22⋊D43C2312yes—
148C22×C22⋊D43C2312yes—
149C22×C22⋊D43C2312yes—
150C22×C22⋊D43C2311yescharacteristic
151C22×C22⋊D43C2312yes—
152C22×C22⋊D43C2312yes—
153C22×C22⋊D43C2312yes—
154C22×C22⋊D43C2312yes—
155C22×C22⋊D43C2312yes—
156C22×C22⋊D43C2312yes—
157C22×C22⋊D43C2311yescharacteristic
158C22×C22⋊D43C23116yescomplemented
159C22×C22⋊D43C23116yescomplemented
160C22×C22⋊D43C2312yescomplemented
161C22×C22⋊D43C2312yescomplemented
162C22×C22⋊D43C2318yescomplemented
163C2×D4×D43—44no—
164C2×D4×D43—48no—
165C2×D4×D43C2318yescomplemented
166C2×D4×D43C23116yescomplemented
167C23×Dic43C2312yes—
168C23×Dic43C2312yes—
169C23×Dic43C2312yescomplemented
170C23×Dic43C2312yescomplemented
171C23×Dic43C2311yescharacteristic, complemented
172C22×C4×D43C2311yescharacteristic
173C22×C4×D43C2312yes—
174C22×C4×D43C2312yescomplemented
175#13063321C23116yescomplemented
176#13063321C2318yescomplemented
177#13063320C23116yescomplemented
178#13063320C23116yescomplemented
179#13063319C23116yescomplemented
180#13063318C23116yescomplemented
181#13063313C2318yescomplemented
182#13063312C2318yescomplemented
183#13063312C23116yescomplemented
184#13063311C23116yescomplemented
185#13063311C23116yescomplemented
186#13063311C23116yescomplemented
187#13063311C23116yescomplemented
188#13063310C23116yescomplemented
189#13063309C23116yescomplemented
190#13063309C2318yescomplemented
191#13063308C23116yescomplemented
192#13063308C23116yescomplemented
193#13063307C23116yescomplemented
194#13063306C2318yescomplemented
195#13063306C23116yescomplemented
196#13063306C23116yescomplemented
197#13063306C23116yescomplemented
198#13063304C23116yescomplemented
199#13063303C23116yescomplemented
200#13063302C23116yescomplemented
201#13063299C23116yescomplemented
202#13063298C23116yescomplemented
203#13063298C23116yescomplemented
204#13063297C23116yescomplemented
205#13063297C23116yescomplemented
206#13063297C23116yescomplemented
207#13063297C23116yescomplemented
208#13063297C23116yescomplemented
209#13063297C23116yescomplemented
210#13063297C23116yescomplemented
211#13063297C23116yescomplemented
212#13063296C23116yescomplemented
213#13063296C23116yescomplemented
214#13063295C2318yescomplemented
215#13063295C23116yescomplemented
216#13063294C2318yescomplemented
217#13063294C23116yescomplemented
218#13063294C23116yescomplemented
219#13063294C2318yescomplemented
220#13063293C23116yes—
221#13063293C23116yescomplemented
222#13063293C2318yescomplemented
223#13063293C23116yescomplemented
224#13063293C23116yescomplemented
225#13063293C23116yescomplemented
226#13063293C23116yescomplemented
227#13063293C23116yescomplemented
228#13063293C23116yescomplemented
229#13063293C23116yescomplemented
230#13063293C23116yescomplemented
231D4×Dic43C23116yescomplemented
232D4×Dic43C23116yescomplemented
233C4×C22⋊D43C23116yescomplemented
234C4×C22⋊D43C23116yescomplemented
235(C22⋊D43)⋊C4C23116yescomplemented
236#13063282C2318yescomplemented
237#13063281C23116yescomplemented
238C2×C4⋊Dic43C2312yescomplemented
239C2×C4⋊Dic43C2312yescomplemented
240C2×Dic43⋊C4C2312yescomplemented
241C2×Dic43⋊C4C2312yescomplemented
242C2×Dic43⋊C4C2312yescomplemented
243C2×Dic43⋊C4C2312yescomplemented
244C2×Dic43⋊C4C2312yescomplemented
245C2×Dic43⋊C4C2312yescomplemented
246C2×C22⋊Dic43C2312yes—
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2312yes—
249C2×C22⋊Dic43C2312yes—
250C2×C22⋊Dic43C2312yes—
251C2×C22⋊Dic43C2312yes—
252C2×C22⋊Dic43C23116yescomplemented
253C2×C22⋊Dic43C23116yescomplemented
254C2×C22⋊Dic43C2311yescharacteristic, complemented
255C2×C22⋊Dic43C2312yescomplemented
256C2×C22⋊Dic43C2312yescomplemented
257C2×C22⋊Dic43C2312yescomplemented
258C2×C22⋊Dic43C2312yescomplemented
259C2×C22⋊Dic43C2312yescomplemented
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)⋊C4C2312yes—
268C2×(C2×D43)⋊C4C2312yes—
269C2×(C2×D43)⋊C4C2312yes—
270C2×(C2×D43)⋊C4C2312yes—
271C2×(C2×D43)⋊C4C23116yescomplemented
272C2×(C2×D43)⋊C4C23116yescomplemented
273C2×(C2×D43)⋊C4C2312yescomplemented
274C22⋊C4×D43C23116yescomplemented
275C22⋊C4×D43C2318yescomplemented
276C22⋊C4×D43C2318yescomplemented
277C2×C4×Dic43C2311yescharacteristic, complemented
278C2×C4×Dic43C2312yescomplemented
279C2×C4×Dic43C2312yescomplemented
280C25×C43C2311yescharacteristic
281C25×C43C2312yes—
282C25×C43C2311yescharacteristic, complemented
283C22×D4×C43—48no—
284C22×D4×C43—48no—
285C22×D4×C43C2312yes—
286C22×D4×C43C2312yes—
287C22×D4×C43C2312yes—
288C22×D4×C43C2311yescharacteristic
289C22×D4×C43C2312yes—
290C22×D4×C43C2312yes—
291C22×D4×C43C23116yescomplemented
292C22×D4×C43C2311yescharacteristic, complemented
293C22×D4×C43C2312yescomplemented
294C22×D4×C43C2312yescomplemented
295C22×D4×C43C23116yescomplemented
296C23×C4×C43C2312yes—
297C23×C4×C43C2312yescomplemented
298#127×C43C2318yescomplemented
299#121×C43C23116yescomplemented
300#121×C43C23116yescomplemented
301#120×C43C2318yes—
302#120×C43C23116yescomplemented
303#120×C43C2318yescomplemented
304C4×D4×C43C23116yescomplemented
305C2×C4⋊C4×C43C2312yescomplemented
306C2×C22⋊C4×C43C2312yes—
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2312yescomplemented
309C2×C22⋊C4×C43C2311yescharacteristic, complemented
310C2×C22⋊C4×C43C2312yescomplemented
311C2×C42×C43C2311yescharacteristic, complemented
312C24×C43—28no—
313C24×C43—28no—
314C24×C43—42no—
315C24×C43—44no—
316C24×C43—44no—
317C24×C43—44no—
318C24×C43—42no—
319C24×C43C2411yescharacteristic
320C24×C43C2412yes—
321C24×C43C2411yescharacteristic
322C24×C43C2412yes—
323C24×C43C2414yes—
324C24×C43C2412yes—
325C24×C43C2418yes—
326C24×C43C2414yescomplemented
327C23×D43—28no—
328C23×D43—28no—
329C23×D43—24no—
330C23×D43—28no—
331C23×D43—24no—
332C23×D43—416no—
333C23×D43—44no—
334C23×D43—44no—
335C23×D43—44no—
336C23×D43—44no—
337C23×D43—44no—
338C23×D43—42no—
339C23×D43—432no—
340C23×D43—44no—
341C23×D43—464no—
342C23×D43C2412yes—
343C23×D43C2411yescharacteristic
344C23×D43C2411yescharacteristic
345C23×D43C2418yes—
346C23×D43C2411yescharacteristic
347C23×D43C2414yes—
348C23×D43C2414yes—
349C23×D43C2418yes—
350C23×D43C2414yes—
351C2×D4×C43—28no—
352C2×D4×C43—28no—
353C2×D4×C43—28no—
354C2×D4×C43—44no—
355C2×D4×C43—44no—
356C2×D4×C43—44no—
357C2×D4×C43—44no—
358C2×D4×C43—42no—
359C2×D4×C43—42no—
360C2×D4×C43—432no—
361C2×D4×C43—432no—
362C2×D4×C43C2418yes—
363C2×D4×C43C2418yes—
364C2×D4×C43C2418yes—
365C2×D4×C43C2414yes—
366C2×D4×C43C2418yes—
367C2×D4×C43C2418yes—
368C2×D4×C43C2414yescomplemented
369C2×D4×C43C2418yescomplemented
370C2×D4×C43C2418yescomplemented
371C22×C4×C43—44no—
372C22×C4×C43—44no—
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2412yes—
375C22×C4×C43C2412yes—
376C22×C4×C43C2412yes—
377C22×C4×C43C2418yes—
378C22×C4×C43C2418yescomplemented
379C2×C22⋊D43—28no—
380C2×C22⋊D43—28no—
381C2×C22⋊D43—28no—
382C2×C22⋊D43—42no—
383C2×C22⋊D43—42no—
384C2×C22⋊D43—44no—
385C2×C22⋊D43—44no—
386C2×C22⋊D43—44no—
387C2×C22⋊D43—44no—
388C2×C22⋊D43—44no—
389C2×C22⋊D43—44no—
390C2×C22⋊D43—44no—
391C2×C22⋊D43—44no—
392C2×C22⋊D43—432no—
393C2×C22⋊D43—44no—
394C2×C22⋊D43—432no—
395C2×C22⋊D43—416no—
396C2×C22⋊D43C2418yes—
397C2×C22⋊D43C2418yes—
398C2×C22⋊D43C2418yes—
399C2×C22⋊D43C2418yes—
400C2×C22⋊D43C2414yes—
401C2×C22⋊D43C2418yes—
402C2×C22⋊D43C2418yes—
403C2×C22⋊D43C2418yes—
404C2×C22⋊D43C2418yes—
405C2×C22⋊D43C2418yes—
406C2×C22⋊D43C2418yes—
407C2×C22⋊D43C2414yes—
408C2×C22⋊D43C2418yescomplemented
409C2×C22⋊D43C2418yescomplemented
410C22×Dic43—28no—
411C22×Dic43—44no—
412C22×Dic43—42no—
413C22×Dic43—44no—
414C22×Dic43—44no—
415C22×Dic43C2412yes—
416C22×Dic43C2412yes—
417C22×Dic43C2412yes—
418C22×Dic43C2412yes—
419C22×Dic43C2412yes—
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2418yes—
422C22×Dic43C2418yes—
423C22×Dic43C2418yescomplemented
424C22×Dic43C2418yescomplemented
425C22×Dic43C2414yescomplemented
426#10621900—416no—
427#10621900—432no—
428D4×D43—416no—
429D4×D43—432no—
430C2×D172—44no—
431C2×D172—42no—
432C2×D172C2414yes—
433C2×D172C2418yes—
434C2×C4×D43—24no—
435C2×C4×D43—44no—
436C2×C4×D43—44no—
437C2×C4×D43C2414yes—
438C2×C4×D43C2418yes—
439C2×C4×D43C2418yescomplemented
440C2×Dic86—44no—
441C2×Dic86—42no—
442C2×Dic86C2414yescomplemented
443C2×Dic86C2418yescomplemented
444C4⋊C4×C43C2418yescomplemented
445C22⋊C4×C43C2418yes—
446C22⋊C4×C43C2414yes—
447C22⋊C4×C43C2418yescomplemented
448C22⋊C4×C43C2414yescomplemented
449C22⋊C4×C43C2418yescomplemented
450C42×C43C2414yescomplemented
451C22⋊Dic43C2418yes—
452C22⋊Dic43C2414yes—
453C22⋊Dic43C2418yes—
454C22⋊Dic43C2418yes—
455C22⋊Dic43C2418yes—
456C22⋊Dic43C2418yes—
457C22⋊Dic43C2414yescomplemented
458C22⋊Dic43C2418yescomplemented
459C22⋊Dic43C2418yescomplemented
460C22⋊Dic43C2418yescomplemented
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)⋊C4C2418yes—
473(C2×D43)⋊C4C2418yes—
474(C2×D43)⋊C4C2418yescomplemented
475C4⋊Dic43C2418yescomplemented
476C4⋊Dic43C2418yescomplemented
477Dic43⋊C4C2418yescomplemented
478Dic43⋊C4C2418yescomplemented
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—24no—
497C23×C43—216no—
498C23×C43—24no—
499C23×C43—216no—
500C23×C43—44no—
501C23×C43—48no—
502C23×C43—44no—
503C23×C43—48no—
504C23×C43—48no—
505C23×C43—416no—
506C23×C43—816no—
507C23×C43—88no—
508C23×C43H(5,𝔽2)18yes—
509C23×C43C2512yes—
510C23×C43C2512yes—
511C23×C43C2514yes—
512C23×C43C2514yes—
513C23×C43C2514yes—
514C23×C43C2511yescharacteristic
515C22×D43—24no—
516C22×D43—24no—
517C22×D43—22no—
518C22×D43—22no—
519C22×D43—24no—
520C22×D43—216no—
521C22×D43—24no—
522C22×D43—216no—
523C22×D43—24no—
524C22×D43—24no—
525C22×D43—28no—
526C22×D43—216no—
527C22×D43—28no—
528C22×D43—48no—
529C22×D43—48no—
530C22×D43—48no—
531C22×D43—48no—
532C22×D43—48no—
533C22×D43—44no—
534C22×D43—48no—
535C22×D43—432no—
536C22×D43—416no—
537C22×D43—432no—
538C22×D43—4128no—
539C22×D43—416no—
540C22×D43—88no—
541C22×D43H(5,𝔽2)14yes—
542C22×D43C2514yes—
543C22×D43C2512yes—
544C22×D43C2512yes—
545C22×D43C2512yes—
546D4×C43—216no—
547D4×C43—216no—
548D4×C43—216no—
549D4×C43—44no—
550D4×C43—44no—
551D4×C43—48no—
552D4×C43—48no—
553D4×C43—48no—
554D4×C43—48no—
555C2×C4×C43—22no—
556C2×C4×C43—24no—
557C2×C4×C43—24no—
558C2×C4×C43—24no—
559C2×C4×C43—48no—
560C2×C4×C43—48no—
561C2×C4×C43C2514yes—
562C2×C4×C43C2512yes—
563C2×C4×C43C2514yes—
564C2×C4×C43C2514yes—
565C22⋊D43—216no—
566C22⋊D43—216no—
567C22⋊D43—216no—
568C22⋊D43—48no—
569C22⋊D43—44no—
570C22⋊D43—44no—
571C22⋊D43—48no—
572C22⋊D43—48no—
573C22⋊D43—48no—
574C22⋊D43—48no—
575C22⋊D43—48no—
576C22⋊D43—48no—
577C22⋊D43—48no—
578C22⋊D43—48no—
579C2×Dic43—24no—
580C2×Dic43—24no—
581C2×Dic43—24no—
582C2×Dic43—22no—
583C2×Dic43—24no—
584C2×Dic43—216no—
585C2×Dic43—24no—
586C2×Dic43—48no—
587C2×Dic43—48no—
588C2×Dic43—48no—
589C2×Dic43—44no—
590C2×Dic43C2514yes—
591C2×Dic43C2514yes—
592C2×Dic43C2514yes—
593C2×Dic43C2514yes—
594C2×Dic43C2514yes—
595C2×Dic43C2512yes—
596D172—44no—
597D172—48no—
598C4×D43—28no—
599C4×D43—48no—
600C4×D43—48no—
601Dic86—48no—
602Dic86—44no—
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—24no—
612C22×C43—24no—
613C22×C43—24no—
614C22×C43—24no—
615C22×C43—24no—
616C22×C43—24no—
617C22×C43—416no—
618C22×C43—44no—
619C22×C43—44no—
620C22×C43—48no—
621C22×C43—48no—
622C22×C43—816no—
623C22×C43—88no—
624C22×C43C2×H(5,𝔽2)12yes—
625C22×C43C2×H(5,𝔽2)18yes—
626C22×C43C2×H(5,𝔽2)14yes—
627C22×C43C2611yescharacteristic
628C2×D43—24no—
629C2×D43—28no—
630C2×D43—22no—
631C2×D43—24no—
632C2×D43—24no—
633C2×D43—24no—
634C2×D43—24no—
635C2×D43—22no—
636C2×D43—24no—
637C2×D43—432no—
638C2×D43—416no—
639C2×D43—432no—
640C2×D43—416no—
641C2×D43—48no—
642C2×D43—44no—
643C2×D43—44no—
644C2×D43—88no—
645C2×D43C2×H(5,𝔽2)14yes—
646C4×C43—22no—
647C4×C43—24no—
648C4×C43—24no—
649C4×C43—24no—
650Dic43—24no—
651Dic43—24no—
652Dic43—24no—
653Dic43—22no—
654Dic43—24no—
655Dic43—24no—
656#3532—4332no—
657C2×H(3,𝔽4)—431no—
658C2×#560—431no—
659C2×#560—432no—
660C2×#551—431no—
661C2×#551—432no—
662C2×#546—432no—
663C2×#546—432no—
664C2×#546—432no—
665C2×D42—432no—
666C2×D42D4311yescharacteristic, complemented
667C2×#538—432no—
668C2×#538—432no—
669C2×#538—432no—
670C2×#535—431no—
671C2×#535—432no—
672C2×#534—432no—
673C2×#534—431no—
674C22×#120—432no—
675C22×#120—431no—
676C2×C43—28no—
677C2×C43—42no—
678C2×C43—42no—
679C2×C43—44no—
680C2×C43—44no—
681C2×C43#353214yescomplemented
682C2×C43C22×H(5,𝔽2)11yescharacteristic
683C2×C43C22×H(5,𝔽2)12yes—
684D43—24no—
685D43—44no—
686D43—42no—
687D43—42no—
688C26—431no—
689C22×#41—432no—
690C22×#41—431no—
691C23×D4—432no—
692C23×D4—432no—
693C23×D4—431no—
694C23×D4—431no—
695C23×D4—432no—
696C23×D4C2×D4312yescomplemented
697C23×D4C2×D4312yescomplemented
698H(3,𝔽4)—4316no—
699#560—4316no—
700#560—4332no—
701#551—4316no—
702#551—4332no—
703#546—4332no—
704#546—4332no—
705#546—4332no—
706D42—4332no—
707D42C2×D43116yescomplemented
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—432no—
717C2×#127C2×D4311yescharacteristic, complemented
718C2×#126—432no—
719C2×#126—432no—
720C2×#126—432no—
721C2×#126—432no—
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—432no—
731C2×#123—431no—
732C2×#123—432no—
733C2×#123—432no—
734C2×#123—432no—
735C2×#123—432no—
736C2×#123—432no—
737C2×#123—431no—
738C2×#123—432no—
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×#121—432no—
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—432no—
765C2×#120—432no—
766C2×#120—432no—
767C2×#120—432no—
768C2×#120—432no—
769C2×#120—432no—
770C2×#120—431no—
771C2×#120—4332no—
772C2×#120—432no—
773C2×#120—4316no—
774C2×#120—432no—
775C2×#120—431no—
776C2×#120C2×D4311yescharacteristic
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×D4C2×D4312yescomplemented
785C2×#117—432no—
786C2×#117—431no—
787C22×C22⋊C4—432no—
788C22×C22⋊C4—432no—
789C22×C22⋊C4—432no—
790C22×C22⋊C4—432no—
791C22×C22⋊C4—431no—
792C22×C22⋊C4—432no—
793C22×C22⋊C4—431no—
794C43C2×#353211yescharacteristic, complemented, Sylow
795C25—432no—
796C25—431no—
797C25—432no—
798C25—431no—
799C25—431no—
800C25—438no—
801C25—1728no—
802C25—1724no—
803C25C22×D4311yescharacteristic
804C25C22×D4312yes—
805C25C22×D4311yescharacteristic, complemented
806C2×#41—4316no—
807C2×#41—438no—
808C2×#41—1728no—
809C2×#41—1724no—
810C22×Q8—432no—
811C22×Q8—431no—
812C22×D4—48no—
813C22×D4—48no—
814C22×D4—432no—
815C22×D4—432no—
816C22×D4—432no—
817C22×D4—431no—
818C22×D4—432no—
819C22×D4—432no—
820C22×D4—432no—
821C22×D4—432no—
822C22×D4—432no—
823C22×D4—431no—
824C22×D4—432no—
825C22×D4—432no—
826C22×D4—432no—
827C22×D4—4316no—
828C22×D4—4316no—
829C22×D4—432no—
830C22×D4—438no—
831C22×D4—438no—
832C22×D4—4316no—
833C22×D4—432no—
834C22×D4—431no—
835C22×D4—1724no—
836C22×D4—1728no—
837C22×D4—1728no—
838C22×D4—1724no—
839C22×D4—1728no—
840C22×D4C22×D4312yes—
841C22×D4C22×D4312yes—
842C22×D4C22×D4312yes—
843C22×D4C22×D4312yes—
844C22×D4C22×D4312yes—
845C22×D4C22×D4311yescharacteristic
846C22×D4C22×D43116yescomplemented
847C22×D4C22×D4312yescomplemented
848C22×D4C22×D4311yescharacteristic, complemented
849C22×D4C22×D4312yescomplemented
850C22×D4C22×D43116yescomplemented
851C23×C4—432no—
852C23×C4—432no—
853C23×C4—432no—
854C23×C4—432no—
855C23×C4—431no—
856C23×C4—431no—
857C23×C4—432no—
858C23×C4—432no—
859C23×C4C22×D4312yes—
860C23×C4C22×D4312yescomplemented
861#127—438no—
862#127—4316no—
863#127C22×D4318yescomplemented
864#126—4316no—
865#126—4316no—
866#126—4316no—
867#126—4316no—
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—4316no—
877#123—438no—
878#123—4316no—
879#123—4316no—
880#123—4316no—
881#123—4316no—
882#123—438no—
883#123—4316no—
884#123—4316no—
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#121—4316no—
901#121C22×D43116yescomplemented
902#121C22×D43116yescomplemented
903#120—438no—
904#120—4316no—
905#120—438no—
906#120—4316no—
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—4316no—
916#120—438no—
917#120—4316no—
918#120—4316no—
919#120—438no—
920#120C22×D4318yes—
921#120C22×D43116yescomplemented
922#120C22×D4318yescomplemented
923C4×D4—4316no—
924C4×D4—4316no—
925C4×D4—4316no—
926C4×D4—4316no—
927C4×D4—4316no—
928C4×D4C22×D43116yescomplemented
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⋊C4—432no—
938C2×C4⋊C4—432no—
939C2×C4⋊C4C22×D4312yescomplemented
940C2×C22⋊C4—432no—
941C2×C22⋊C4—432no—
942C2×C22⋊C4—432no—
943C2×C22⋊C4—432no—
944C2×C22⋊C4—432no—
945C2×C22⋊C4—431no—
946C2×C22⋊C4—4316no—
947C2×C22⋊C4—431no—
948C2×C22⋊C4—432no—
949C2×C22⋊C4—432no—
950C2×C22⋊C4—4316no—
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—432no—
963C2×C22⋊C4—432no—
964C2×C22⋊C4—432no—
965C2×C22⋊C4—4316no—
966C2×C22⋊C4—4316no—
967C2×C22⋊C4—432no—
968C2×C22⋊C4—438no—
969C2×C22⋊C4—4316no—
970C2×C22⋊C4—438no—
971C2×C22⋊C4C22×D4312yes—
972C2×C22⋊C4C22×D4311yescharacteristic
973C2×C22⋊C4C22×D4311yescharacteristic, complemented
974C2×C22⋊C4C22×D4312yescomplemented
975C2×C22⋊C4C22×D4312yescomplemented
976C2×C42—431no—
977C2×C42—432no—
978C2×C42—432no—
979C2×C42C22×D4311yescharacteristic, complemented
980C24—28no—
981C24—28no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—42no—
987C24—431no—
988C24—432no—
989C24—431no—
990C24—431no—
991C24—438no—
992C24—434no—
993C24—438no—
994C24—434no—
995C24—434no—
996C24—864no—
997C24—868no—
998C24—864no—
999C24—868no—
1000C24—868no—
1001C24—1724no—
1002C24—1724no—
1003C24—1724no—
1004C24—1724no—
1005C24—1722no—
1006C24—1724no—
1007C24—1724no—
1008C24—17232no—
1009C24—17216no—
1010C24—17264no—
1011C24C23×D4311yescharacteristic
1012C24C23×D4311yescharacteristic
1013C24C23×D4312yes—
1014C24C23×D4312yes—
1015C24C23×D4314yes—
1016C24C23×D4312yes—
1017C24C23×D4318yes—
1018C24C23×D4314yescomplemented
1019#41—17232no—
1020#41—17216no—
1021C2×Q8—438no—
1022C2×Q8—434no—
1023C2×Q8—1722no—
1024C2×Q8—1724no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—432no—
1035C2×D4—432no—
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—434no—
1046C2×D4—438no—
1047C2×D4—438no—
1048C2×D4—438no—
1049C2×D4—438no—
1050C2×D4—438no—
1051C2×D4—434no—
1052C2×D4—868no—
1053C2×D4—868no—
1054C2×D4—868no—
1055C2×D4—1722no—
1056C2×D4—1724no—
1057C2×D4—17216no—
1058C2×D4—1722no—
1059C2×D4—1722no—
1060C2×D4—1724no—
1061C2×D4—1724no—
1062C2×D4—1724no—
1063C2×D4—1724no—
1064C2×D4—1724no—
1065C2×D4—1724no—
1066C2×D4—1724no—
1067C2×D4—17232no—
1068C2×D4—1724no—
1069C2×D4—1724no—
1070C2×D4—17232no—
1071C2×D4—17216no—
1072C2×D4—17232no—
1073C2×D4C23×D4318yes—
1074C2×D4C23×D4318yes—
1075C2×D4C23×D4318yes—
1076C2×D4C23×D4318yes—
1077C2×D4C23×D4318yes—
1078C2×D4C23×D4314yes—
1079C2×D4C23×D4318yescomplemented
1080C2×D4C23×D4314yescomplemented
1081C2×D4C23×D4318yescomplemented
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—438no—
1085C22×C4—432no—
1086C22×C4—432no—
1087C22×C4—432no—
1088C22×C4—432no—
1089C22×C4—431no—
1090C22×C4—432no—
1091C22×C4—438no—
1092C22×C4—438no—
1093C22×C4—438no—
1094C22×C4—434no—
1095C22×C4—434no—
1096C22×C4—438no—
1097C22×C4—438no—
1098C22×C4—864no—
1099C22×C4—868no—
1100C22×C4—1724no—
1101C22×C4—1724no—
1102C22×C4—1722no—
1103C22×C4—1724no—
1104C22×C4—1724no—
1105C22×C4—1724no—
1106C22×C4C23×D4311yescharacteristic
1107C22×C4C23×D4312yes—
1108C22×C4C23×D4312yes—
1109C22×C4C23×D4312yes—
1110C22×C4C23×D4318yes—
1111C22×C4C23×D4318yescomplemented
1112C4⋊C4—438no—
1113C4⋊C4—438no—
1114C4⋊C4—438no—
1115C4⋊C4—438no—
1116C4⋊C4—438no—
1117C4⋊C4—438no—
1118C4⋊C4—438no—
1119C4⋊C4—438no—
1120C4⋊C4C23×D4318yescomplemented
1121C22⋊C4—438no—
1122C22⋊C4—438no—
1123C22⋊C4—438no—
1124C22⋊C4—438no—
1125C22⋊C4—438no—
1126C22⋊C4—434no—
1127C22⋊C4—434no—
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⋊C4—438no—
1144C22⋊C4—438no—
1145C22⋊C4C23×D4318yes—
1146C22⋊C4C23×D4314yes—
1147C22⋊C4C23×D4314yescomplemented
1148C22⋊C4C23×D4318yescomplemented
1149C22⋊C4C23×D4318yescomplemented
1150C42—434no—
1151C42—438no—
1152C42—438no—
1153C42C23×D4314yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—22no—
1158C23—22no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—216no—
1166C23—24no—
1167C23—216no—
1168C23—44no—
1169C23—48no—
1170C23—48no—
1171C23—48no—
1172C23—44no—
1173C23—416no—
1174C23—816no—
1175C23—88no—
1176C23—434no—
1177C23—432no—
1178C23—434no—
1179C23—432no—
1180C23—432no—
1181C23—868no—
1182C23—8616no—
1183C23—868no—
1184C23—864no—
1185C23—862no—
1186C23—862no—
1187C23—864no—
1188C23—864no—
1189C23—8616no—
1190C23—8616no—
1191C23—864no—
1192C23—864no—
1193C23—864no—
1194C23—3448no—
1195C23—1728no—
1196C23—1728no—
1197C23—1728no—
1198C23—1728no—
1199C23—1724no—
1200C23—1728no—
1201C23—1728no—
1202C23—17232no—
1203C23—17232no—
1204C23—17216no—
1205C23—172128no—
1206C23—17216no—
1207C23#1306337018yes—
1208C23C24×D4312yes—
1209C23C24×D4312yes—
1210C23C24×D4314yes—
1211C23C24×D4314yes—
1212C23C24×D4314yes—
1213C23C24×D4311yescharacteristic
1214Q8—1724no—
1215Q8—1728no—
1216D4—216no—
1217D4—216no—
1218D4—216no—
1219D4—48no—
1220D4—48no—
1221D4—48no—
1222D4—48no—
1223D4—44no—
1224D4—44no—
1225D4—8616no—
1226D4—8616no—
1227D4—8616no—
1228D4—1724no—
1229D4—1728no—
1230D4—1724no—
1231D4—1724no—
1232D4—1728no—
1233D4—1728no—
1234D4—1728no—
1235D4—1728no—
1236D4—1728no—
1237D4—1728no—
1238D4—1728no—
1239D4—1728no—
1240D4—1728no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—48no—
1246C2×C4—48no—
1247C2×C4—434no—
1248C2×C4—434no—
1249C2×C4—434no—
1250C2×C4—434no—
1251C2×C4—432no—
1252C2×C4—434no—
1253C2×C4—868no—
1254C2×C4—862no—
1255C2×C4—864no—
1256C2×C4—864no—
1257C2×C4—864no—
1258C2×C4—864no—
1259C2×C4—8616no—
1260C2×C4—864no—
1261C2×C4—1728no—
1262C2×C4—1728no—
1263C2×C4—1724no—
1264C2×C4—1728no—
1265C2×C4—1728no—
1266C2×C4—1728no—
1267C2×C4C24×D4312yes—
1268C2×C4C24×D4314yes—
1269C2×C4C24×D4314yes—
1270C2×C4C24×D4314yes—
1271C22—24no—
1272C22—24no—
1273C22—216no—
1274C22—24no—
1275C22—22no—
1276C22—22no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—24no—
1281C22—24no—
1282C22—24no—
1283C22—24no—
1284C22—416no—
1285C22—44no—
1286C22—48no—
1287C22—44no—
1288C22—48no—
1289C22—816no—
1290C22—88no—
1291C22—434no—
1292C22—864no—
1293C22—868no—
1294C22—862no—
1295C22—862no—
1296C22—864no—
1297C22—864no—
1298C22—864no—
1299C22—864no—
1300C22—864no—
1301C22—3448no—
1302C22—17232no—
1303C22—17232no—
1304C22—17216no—
1305C22—17216no—
1306C22—1724no—
1307C22—1728no—
1308C22—1724no—
1309C22H(5,𝔽2)×D4312yes—
1310C22C2×#1306337018yes—
1311C22C2×#1306337014yes—
1312C22C25×D4311yescharacteristic
1313C4—22no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—862no—
1318C4—864no—
1319C4—864no—
1320C4—864no—
1321C4—864no—
1322C4—864no—
1323C2—28no—
1324C2—42no—
1325C2—44no—
1326C2—42no—
1327C2—44no—
1328C2—864no—
1329C2—1722no—
1330C2—1724no—
1331C2—1722no—
1332C2#1914874514yesdirect product factor
1333C2C2×H(5,𝔽2)×D4311yescharacteristic
1334C2C22×#1306337012yes—
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×D42×C43C2
socleC23×C43C25
hypercenterC2×D42D43
hypocenterC43C2×#3532
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #19148745C2direct (N × H)
2. C2×#14583642C2semidirect
3. C2×#14583637C2semidirect
4. C2×#14583636C2semidirect
5. C2×#14583580C2semidirect
6. C2×#14583578C2semidirect
7. C2×#14583543C2semidirect
8. C2×#14583538C2semidirect
9. C2×#14583536C2semidirect
10. C2×D4×C22⋊D43C2semidirect
11. C2×#14583486C2semidirect
12. C2×#14583482C2semidirect
13. C2×#14583481C2semidirect
14. C2×#14583464C2semidirect
15. C2×#14583462C2semidirect
16. C2×#14583459C2semidirect
17. C2×#14583458C2semidirect
18. C22×#13063293C2semidirect
19. C2×#120×D43C2semidirect
20. C2×D42×C43C2semidirect
21. C25×D43C22semidirect
22. C22×#10621900C22semidirect
23. C22×#10621900C22semidirect
24. C23×C22⋊D43C22semidirect
25. C23×C22⋊D43C22semidirect
26. C23×C22⋊D43C22semidirect
27. C22×D4×D43C22semidirect
28. C22×D4×D43C22semidirect
29. #14583642C22semidirect
30. #14583637C22semidirect
31. #14583636C22semidirect
32. #14583580C22semidirect
33. #14583578C22semidirect
34. #14583543C22semidirect
35. #14583538C22semidirect
36. #14583536C22semidirect
37. D4×C22⋊D43C22semidirect
38. #14583486C22semidirect
39. #14583482C22semidirect
40. #14583481C22semidirect
41. #14583464C22semidirect
42. #14583462C22semidirect
43. #14583459C22semidirect
44. #14583458C22semidirect
45. C2×#13063321C22semidirect
46. C2×#13063321C22semidirect
47. C2×#13063320C22semidirect
48. C2×#13063320C22semidirect
49. C2×#13063319C22semidirect
50. C2×#13063318C22semidirect
51. C2×#13063313C22semidirect
52. C2×#13063312C22semidirect
53. C2×#13063312C22semidirect
54. C2×#13063311C22semidirect
55. C2×#13063311C22semidirect
56. C2×#13063311C22semidirect
57. C2×#13063311C22semidirect
58. C2×#13063310C22semidirect
59. C2×#13063309C22semidirect
60. C2×#13063309C22semidirect
61. C2×#13063308C22semidirect
62. C2×#13063308C22semidirect
63. C2×#13063307C22semidirect
64. C2×#13063306C22semidirect
65. C2×#13063306C22semidirect
66. C2×#13063306C22semidirect
67. C2×#13063306C22semidirect
68. C2×#13063304C22semidirect
69. C2×#13063303C22semidirect
70. C2×#13063302C22semidirect
71. C2×#13063299C22semidirect
72. C2×#13063298C22semidirect
73. C2×#13063298C22semidirect
74. C2×#13063297C22semidirect
75. C2×#13063297C22semidirect
76. C2×#13063297C22semidirect
77. C2×#13063297C22semidirect
78. C2×#13063297C22semidirect
79. C2×#13063297C22semidirect
80. C2×#13063297C22semidirect
81. C2×#13063297C22semidirect
82. C2×#13063296C22semidirect
83. C2×#13063296C22semidirect
84. C2×#13063295C22semidirect
85. C2×#13063295C22semidirect
86. C2×#13063294C22semidirect
87. C2×#13063294C22semidirect
88. C2×#13063294C22semidirect
89. C2×#13063294C22semidirect
91. C2×#13063293C22semidirect
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. C2×#13063293C22semidirect
101. C2×#13063293C22semidirect
102. #120×D43C22semidirect
103. C2×D4×Dic43C22semidirect
104. C2×D4×Dic43C22semidirect
105. C2×C4×C22⋊D43C22semidirect
106. C2×C4×C22⋊D43C22semidirect
107. C2×(C22⋊D43)⋊C4C22semidirect
108. C2×#13063282C22semidirect
109. C2×#13063281C22semidirect
110. C22×C22⋊Dic43C22semidirect
111. C22×C22⋊Dic43C22semidirect
112. C22×(C2×D43)⋊C4C22semidirect
113. C22×(C2×D43)⋊C4C22semidirect
114. C2×C22⋊C4×D43C22semidirect
115. C2×C22⋊C4×D43C22semidirect
116. C2×C22⋊C4×D43C22semidirect
117. C23×D4×C43C22semidirect
118. C23×D4×C43C22semidirect
119. D42×C43C22semidirect
120. C2×#127×C43C22semidirect
121. C2×#121×C43C22semidirect
122. C2×#121×C43C22semidirect
124. C2×#120×C43C22semidirect
125. C2×#120×C43C22semidirect
126. C2×C4×D4×C43C22semidirect
134. C24×D43C23semidirect
137. C2×#10621900C23semidirect
138. C2×#10621900C23semidirect
139. C22×Dic86C23semidirect
140. C22×Dic86C23semidirect
158. C22×C22⋊D43C23semidirect
159. C22×C22⋊D43C23semidirect
160. C22×C22⋊D43C23semidirect
161. C22×C22⋊D43C23semidirect
162. C22×C22⋊D43C23semidirect
165. C2×D4×D43C23semidirect
166. C2×D4×D43C23semidirect
169. C23×Dic43C23semidirect
170. C23×Dic43C23semidirect
171. C23×Dic43C23semidirect
174. C22×C4×D43C23semidirect
175. #13063321C23semidirect
176. #13063321C23semidirect
177. #13063320C23semidirect
178. #13063320C23semidirect
179. #13063319C23semidirect
180. #13063318C23semidirect
181. #13063313C23semidirect
182. #13063312C23semidirect
183. #13063312C23semidirect
184. #13063311C23semidirect
185. #13063311C23semidirect
186. #13063311C23semidirect
187. #13063311C23semidirect
188. #13063310C23semidirect
189. #13063309C23semidirect
190. #13063309C23semidirect
191. #13063308C23semidirect
192. #13063308C23semidirect
193. #13063307C23semidirect
194. #13063306C23semidirect
195. #13063306C23semidirect
196. #13063306C23semidirect
197. #13063306C23semidirect
198. #13063304C23semidirect
199. #13063303C23semidirect
200. #13063302C23semidirect
201. #13063299C23semidirect
202. #13063298C23semidirect
203. #13063298C23semidirect
204. #13063297C23semidirect
205. #13063297C23semidirect
206. #13063297C23semidirect
207. #13063297C23semidirect
208. #13063297C23semidirect
209. #13063297C23semidirect
210. #13063297C23semidirect
211. #13063297C23semidirect
212. #13063296C23semidirect
213. #13063296C23semidirect
214. #13063295C23semidirect
215. #13063295C23semidirect
216. #13063294C23semidirect
217. #13063294C23semidirect
218. #13063294C23semidirect
219. #13063294C23semidirect
221. #13063293C23semidirect
222. #13063293C23semidirect
223. #13063293C23semidirect
224. #13063293C23semidirect
225. #13063293C23semidirect
226. #13063293C23semidirect
227. #13063293C23semidirect
228. #13063293C23semidirect
229. #13063293C23semidirect
230. #13063293C23semidirect
231. D4×Dic43C23semidirect
232. D4×Dic43C23semidirect
233. C4×C22⋊D43C23semidirect
234. C4×C22⋊D43C23semidirect
235. (C22⋊D43)⋊C4C23semidirect
236. #13063282C23semidirect
237. #13063281C23semidirect
238. C2×C4⋊Dic43C23semidirect
239. C2×C4⋊Dic43C23semidirect
240. C2×Dic43⋊C4C23semidirect
241. C2×Dic43⋊C4C23semidirect
242. C2×Dic43⋊C4C23semidirect
243. C2×Dic43⋊C4C23semidirect
244. C2×Dic43⋊C4C23semidirect
245. C2×Dic43⋊C4C23semidirect
252. C2×C22⋊Dic43C23semidirect
253. C2×C22⋊Dic43C23semidirect
254. C2×C22⋊Dic43C23semidirect
255. C2×C22⋊Dic43C23semidirect
256. C2×C22⋊Dic43C23semidirect
257. C2×C22⋊Dic43C23semidirect
258. C2×C22⋊Dic43C23semidirect
259. C2×C22⋊Dic43C23semidirect
271. C2×(C2×D43)⋊C4C23semidirect
272. C2×(C2×D43)⋊C4C23semidirect
273. C2×(C2×D43)⋊C4C23semidirect
274. C22⋊C4×D43C23semidirect
275. C22⋊C4×D43C23semidirect
276. C22⋊C4×D43C23semidirect
277. C2×C4×Dic43C23semidirect
278. C2×C4×Dic43C23semidirect
279. C2×C4×Dic43C23semidirect
282. C25×C43C23semidirect
291. C22×D4×C43C23semidirect
292. C22×D4×C43C23semidirect
293. C22×D4×C43C23semidirect
294. C22×D4×C43C23semidirect
295. C22×D4×C43C23semidirect
297. C23×C4×C43C23semidirect
298. #127×C43C23semidirect
299. #121×C43C23semidirect
300. #121×C43C23semidirect
302. #120×C43C23semidirect
303. #120×C43C23semidirect
304. C4×D4×C43C23semidirect
305. C2×C4⋊C4×C43C23semidirect
308. C2×C22⋊C4×C43C23semidirect
309. C2×C22⋊C4×C43C23semidirect
310. C2×C22⋊C4×C43C23semidirect
311. C2×C42×C43C23semidirect
326. C24×C43C24semidirect
368. C2×D4×C43C24semidirect
369. C2×D4×C43C24semidirect
370. C2×D4×C43C24semidirect
378. C22×C4×C43C24semidirect
408. C2×C22⋊D43C24semidirect
409. C2×C22⋊D43C24semidirect
423. C22×Dic43C24semidirect
424. C22×Dic43C24semidirect
425. C22×Dic43C24semidirect
439. C2×C4×D43C24semidirect
442. C2×Dic86C24semidirect
443. C2×Dic86C24semidirect
444. C4⋊C4×C43C24semidirect
447. C22⋊C4×C43C24semidirect
448. C22⋊C4×C43C24semidirect
449. C22⋊C4×C43C24semidirect
450. C42×C43C24semidirect
457. C22⋊Dic43C24semidirect
458. C22⋊Dic43C24semidirect
459. C22⋊Dic43C24semidirect
460. C22⋊Dic43C24semidirect
461. C22⋊Dic43C24semidirect
462. C22⋊Dic43C24semidirect
474. (C2×D43)⋊C4C24semidirect
475. C4⋊Dic43C24semidirect
476. C4⋊Dic43C24semidirect
477. Dic43⋊C4C24semidirect
478. Dic43⋊C4C24semidirect
479. Dic43⋊C4C24semidirect
480. Dic43⋊C4C24semidirect
481. Dic43⋊C4C24semidirect
482. Dic43⋊C4C24semidirect
483. C4×Dic43C24semidirect
484. C4×Dic43C24semidirect
485. C4×Dic43C24semidirect
666. C2×D42D43semidirect
681. C2×C43#3532semidirect
696. C23×D4C2×D43semidirect
697. C23×D4C2×D43semidirect
707. D42C2×D43semidirect
717. C2×#127C2×D43semidirect
755. C2×#121C2×D43semidirect
756. C2×#121C2×D43semidirect
777. C2×#120C2×D43semidirect
778. C2×#120C2×D43semidirect
784. C2×C4×D4C2×D43semidirect
794. C43C2×#3532semidirect
805. C25C22×D43semidirect
846. C22×D4C22×D43semidirect
847. C22×D4C22×D43semidirect
848. C22×D4C22×D43semidirect
849. C22×D4C22×D43semidirect
850. C22×D4C22×D43semidirect
860. C23×C4C22×D43semidirect
863. #127C22×D43semidirect
901. #121C22×D43semidirect
902. #121C22×D43semidirect
921. #120C22×D43semidirect
922. #120C22×D43semidirect
928. C4×D4C22×D43semidirect
939. C2×C4⋊C4C22×D43semidirect
973. C2×C22⋊C4C22×D43semidirect
974. C2×C22⋊C4C22×D43semidirect
975. C2×C22⋊C4C22×D43semidirect
979. C2×C42C22×D43semidirect
1018. C24C23×D43semidirect
1079. C2×D4C23×D43semidirect
1080. C2×D4C23×D43semidirect
1081. C2×D4C23×D43semidirect
1111. C22×C4C23×D43semidirect
1120. C4⋊C4C23×D43semidirect
1147. C22⋊C4C23×D43semidirect
1148. C22⋊C4C23×D43semidirect
1149. C22⋊C4C23×D43semidirect
1153. C42C23×D43semidirect
1332. C2#19148745direct (N × H)

Maximal subgroups

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

subgroupindex
#191487452
C2×#145836422
C2×#145836372
C2×#145836362
C2×#145835802
C2×#145835782
C2×#145835432
C2×#145835382
C2×#145835362
C2×D4×C22⋊D432
C2×#145834862
C2×#145834822
C2×#145834812
C2×#145834642
C2×#145834622
C2×#145834592
C2×#145834582
C22×#130632932
C2×#120×D432
C2×D42×C432
C2×#353243