Finite Group Databasebeta

← C2×#21459969 #30587130

Subgroups — C2×#21459969 #30587130

Order 15616.

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#21459969C2132yesmaximal, direct product factor
2C2×#16840505C211yesmaximal, characteristic, complemented
3C2×#16840500C212yesmaximal, complemented
4C2×#16840499C211yesmaximal, characteristic, complemented
5C2×#16840443C211yesmaximal, characteristic, complemented
6C2×#16840441C212yesmaximal, complemented
7C2×#16840406C212yesmaximal, complemented
8C2×#16840401C212yesmaximal, complemented
9C2×#16840399C212yesmaximal, complemented
10C2×D4×C22⋊D61C212yesmaximal, complemented
11C2×#16840349C212yesmaximal, complemented
12C2×#16840345C212yesmaximal, complemented
13C2×#16840344C212yesmaximal, complemented
14C2×#16840327C212yesmaximal, complemented
15C2×#16840325C211yesmaximal, characteristic, complemented
16C2×#16840322C211yesmaximal, characteristic, complemented
17C2×#16840321C212yesmaximal, complemented
18C22×#14519745C212yesmaximal, complemented
19C2×#120×D61C211yesmaximal, characteristic, complemented
20C2×D42×C61C211yesmaximal, characteristic, complemented
21C25×D61C2211yescharacteristic, complemented
22C22×#11758224C2211yescharacteristic, complemented
23C22×#11758224C2212yescomplemented
24C23×C22⋊D61C2212yescomplemented
25C23×C22⋊D61C2212yescomplemented
26C23×C22⋊D61C2211yescharacteristic, complemented
27C22×D4×D61C2212yescomplemented
28C22×D4×D61C2211yescharacteristic, complemented
29#16840505C22116yescomplemented
30#16840500C22132yescomplemented
31#16840499C22116yescomplemented
32#16840443C22116yescomplemented
33#16840441C22132yescomplemented
34#16840406C22132yescomplemented
35#16840401C22132yescomplemented
36#16840399C22132yescomplemented
37D4×C22⋊D61C22132yescomplemented
38#16840349C22132yescomplemented
39#16840345C22132yescomplemented
40#16840344C22132yescomplemented
41#16840327C22132yescomplemented
42#16840325C22116yescomplemented
43#16840322C22116yescomplemented
44#16840321C22132yescomplemented
45C2×#14519773C2212yescomplemented
46C2×#14519773C2211yescharacteristic, complemented
47C2×#14519772C2212yescomplemented
48C2×#14519772C2212yescomplemented
49C2×#14519771C2212yescomplemented
50C2×#14519770C2212yescomplemented
51C2×#14519765C2211yescharacteristic, complemented
52C2×#14519764C2212yescomplemented
53C2×#14519764C2211yescharacteristic, complemented
54C2×#14519763C2212yescomplemented
55C2×#14519763C2212yescomplemented
56C2×#14519763C2212yescomplemented
57C2×#14519763C2212yescomplemented
58C2×#14519762C2212yescomplemented
59C2×#14519761C2212yescomplemented
60C2×#14519761C2211yescharacteristic, complemented
61C2×#14519760C2212yescomplemented
62C2×#14519760C2212yescomplemented
63C2×#14519759C2212yescomplemented
64C2×#14519758C2212yescomplemented
65C2×#14519758C2212yescomplemented
66C2×#14519758C2212yescomplemented
67C2×#14519758C2211yescharacteristic, complemented
68C2×#14519756C2212yescomplemented
69C2×#14519755C2212yescomplemented
70C2×#14519754C2212yescomplemented
71C2×#14519751C2212yescomplemented
72C2×#14519750C2212yescomplemented
73C2×#14519750C2212yescomplemented
74C2×#14519749C2212yescomplemented
75C2×#14519749C2212yescomplemented
76C2×#14519749C2212yescomplemented
77C2×#14519749C2212yescomplemented
78C2×#14519749C2212yescomplemented
79C2×#14519749C2212yescomplemented
80C2×#14519749C2212yescomplemented
81C2×#14519749C2212yescomplemented
82C2×#14519748C2212yescomplemented
83C2×#14519748C2212yescomplemented
84C2×#14519747C2212yescomplemented
85C2×#14519747C2211yescharacteristic, complemented
86C2×#14519746C2211yescharacteristic, complemented
87C2×#14519746C2212yescomplemented
88C2×#14519746C2211yescharacteristic, complemented
89C2×#14519746C2212yescomplemented
90C2×#14519745C2212yes—
91C2×#14519745C2212yescomplemented
92C2×#14519745C2212yescomplemented
93C2×#14519745C2211yescharacteristic, complemented
94C2×#14519745C2212yescomplemented
95C2×#14519745C2212yescomplemented
96C2×#14519745C2212yescomplemented
97C2×#14519745C2212yescomplemented
98C2×#14519745C2212yescomplemented
99C2×#14519745C2212yescomplemented
100C2×#14519745C2212yescomplemented
101C2×#14519745C22132yescomplemented
102#120×D61C22116yescomplemented
103C2×D4×Dic61C2212yescomplemented
104C2×D4×Dic61C2212yescomplemented
105C2×C4×C22⋊D61C2212yescomplemented
106C2×C4×C22⋊D61C2212yescomplemented
107C2×#14519737C2212yescomplemented
108C2×#14519734C2211yescharacteristic, complemented
109C2×#14519733C2212yescomplemented
110C22×C22⋊Dic61C2212yescomplemented
111C22×C22⋊Dic61C2212yescomplemented
112C22×#11758198C2212yescomplemented
113C22×#11758198C2212yescomplemented
114C2×C22⋊C4×D61C2212yescomplemented
115C2×C22⋊C4×D61C2211yescharacteristic, complemented
116C2×C22⋊C4×D61C2211yescharacteristic, complemented
117C23×D4×C61C2212yescomplemented
118C23×D4×C61C2212yescomplemented
119D42×C61C22116yescomplemented
120C2×#127×C61C2211yescharacteristic, complemented
121C2×#121×C61C2212yescomplemented
122C2×#121×C61C2212yescomplemented
123C2×#120×C61C2211yescharacteristic
124C2×#120×C61C2212yescomplemented
125C2×#120×C61C2211yescharacteristic, complemented
126C2×C4×D4×C61C2212yescomplemented
127C24×D61—44no—
128C24×D61—48no—
129C24×D61C2312yes—
130C24×D61C2311yescharacteristic
131C24×D61C2311yescharacteristic
132C24×D61C2312yes—
133C24×D61C2311yescharacteristic
134C24×D61C2318yescomplemented
135C2×#11758224—44no—
136C2×#11758224—48no—
137C2×#11758224C2318yescomplemented
138C2×#11758224C23116yescomplemented
139C22×Dic122C2311yescharacteristic, complemented
140C22×Dic122C2312yescomplemented
141C22×D244C2311yescharacteristic
142C22×D244C2312yes—
143C22×C22⋊D61—48no—
144C22×C22⋊D61—48no—
145C22×C22⋊D61—44no—
146C22×C22⋊D61C2312yes—
147C22×C22⋊D61C2312yes—
148C22×C22⋊D61C2312yes—
149C22×C22⋊D61C2312yes—
150C22×C22⋊D61C2311yescharacteristic
151C22×C22⋊D61C2312yes—
152C22×C22⋊D61C2312yes—
153C22×C22⋊D61C2312yes—
154C22×C22⋊D61C2312yes—
155C22×C22⋊D61C2312yes—
156C22×C22⋊D61C2312yes—
157C22×C22⋊D61C2311yescharacteristic
158C22×C22⋊D61C23116yescomplemented
159C22×C22⋊D61C23116yescomplemented
160C22×C22⋊D61C2312yescomplemented
161C22×C22⋊D61C2312yescomplemented
162C22×C22⋊D61C2318yescomplemented
163C2×D4×D61—44no—
164C2×D4×D61—48no—
165C2×D4×D61C2318yescomplemented
166C2×D4×D61C23116yescomplemented
167C23×Dic61C2312yes—
168C23×Dic61C2312yes—
169C23×Dic61C2312yescomplemented
170C23×Dic61C2312yescomplemented
171C23×Dic61C2311yescharacteristic, complemented
172C22×C4×D61C2311yescharacteristic
173C22×C4×D61C2312yes—
174C22×C4×D61C2312yescomplemented
175#14519773C23116yescomplemented
176#14519773C2318yescomplemented
177#14519772C23116yescomplemented
178#14519772C23116yescomplemented
179#14519771C23116yescomplemented
180#14519770C23116yescomplemented
181#14519765C2318yescomplemented
182#14519764C2318yescomplemented
183#14519764C23116yescomplemented
184#14519763C23116yescomplemented
185#14519763C23116yescomplemented
186#14519763C23116yescomplemented
187#14519763C23116yescomplemented
188#14519762C23116yescomplemented
189#14519761C23116yescomplemented
190#14519761C2318yescomplemented
191#14519760C23116yescomplemented
192#14519760C23116yescomplemented
193#14519759C23116yescomplemented
194#14519758C2318yescomplemented
195#14519758C23116yescomplemented
196#14519758C23116yescomplemented
197#14519758C23116yescomplemented
198#14519756C23116yescomplemented
199#14519755C23116yescomplemented
200#14519754C23116yescomplemented
201#14519751C23116yescomplemented
202#14519750C23116yescomplemented
203#14519750C23116yescomplemented
204#14519749C23116yescomplemented
205#14519749C23116yescomplemented
206#14519749C23116yescomplemented
207#14519749C23116yescomplemented
208#14519749C23116yescomplemented
209#14519749C23116yescomplemented
210#14519749C23116yescomplemented
211#14519749C23116yescomplemented
212#14519748C23116yescomplemented
213#14519748C23116yescomplemented
214#14519747C2318yescomplemented
215#14519747C23116yescomplemented
216#14519746C2318yescomplemented
217#14519746C23116yescomplemented
218#14519746C23116yescomplemented
219#14519746C2318yescomplemented
220#14519745C23116yes—
221#14519745C23116yescomplemented
222#14519745C2318yescomplemented
223#14519745C23116yescomplemented
224#14519745C23116yescomplemented
225#14519745C23116yescomplemented
226#14519745C23116yescomplemented
227#14519745C23116yescomplemented
228#14519745C23116yescomplemented
229#14519745C23116yescomplemented
230#14519745C23116yescomplemented
231D4×Dic61C23116yescomplemented
232D4×Dic61C23116yescomplemented
233C4×C22⋊D61C23116yescomplemented
234C4×C22⋊D61C23116yescomplemented
235#14519737C23116yescomplemented
236#14519734C2318yescomplemented
237#14519733C23116yescomplemented
238C2×C4⋊Dic61C2312yescomplemented
239C2×C4⋊Dic61C2312yescomplemented
240C2×#11758196C2312yescomplemented
241C2×#11758196C2312yescomplemented
242C2×#11758196C2312yescomplemented
243C2×#11758196C2312yescomplemented
244C2×#11758196C2312yescomplemented
245C2×#11758196C2312yescomplemented
246C2×C22⋊Dic61C2312yes—
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2312yes—
249C2×C22⋊Dic61C2312yes—
250C2×C22⋊Dic61C2312yes—
251C2×C22⋊Dic61C2312yes—
252C2×C22⋊Dic61C23116yescomplemented
253C2×C22⋊Dic61C23116yescomplemented
254C2×C22⋊Dic61C2311yescharacteristic, complemented
255C2×C22⋊Dic61C2312yescomplemented
256C2×C22⋊Dic61C2312yescomplemented
257C2×C22⋊Dic61C2312yescomplemented
258C2×C22⋊Dic61C2312yescomplemented
259C2×C22⋊Dic61C2312yescomplemented
260C2×#11758198C2312yes—
261C2×#11758198C2312yes—
262C2×#11758198C2312yes—
263C2×#11758198C2312yes—
264C2×#11758198C2312yes—
265C2×#11758198C2312yes—
266C2×#11758198C2312yes—
267C2×#11758198C2312yes—
268C2×#11758198C2312yes—
269C2×#11758198C2312yes—
270C2×#11758198C2312yes—
271C2×#11758198C23116yescomplemented
272C2×#11758198C23116yescomplemented
273C2×#11758198C2312yescomplemented
274C22⋊C4×D61C2318yescomplemented
275C22⋊C4×D61C23116yescomplemented
276C22⋊C4×D61C2318yescomplemented
277C2×C4×Dic61C2311yescharacteristic, complemented
278C2×C4×Dic61C2312yescomplemented
279C2×C4×Dic61C2312yescomplemented
280C25×C61C2311yescharacteristic
281C25×C61C2312yes—
282C25×C61C2311yescharacteristic, complemented
283C22×D4×C61—48no—
284C22×D4×C61—48no—
285C22×D4×C61C2312yes—
286C22×D4×C61C2312yes—
287C22×D4×C61C2312yes—
288C22×D4×C61C2312yes—
289C22×D4×C61C2311yescharacteristic
290C22×D4×C61C2312yes—
291C22×D4×C61C23116yescomplemented
292C22×D4×C61C2312yescomplemented
293C22×D4×C61C2311yescharacteristic, complemented
294C22×D4×C61C2312yescomplemented
295C22×D4×C61C23116yescomplemented
296C23×C4×C61C2312yes—
297C23×C4×C61C2312yescomplemented
298#127×C61C2318yescomplemented
299#121×C61C23116yescomplemented
300#121×C61C23116yescomplemented
301#120×C61C2318yes—
302#120×C61C23116yescomplemented
303#120×C61C2318yescomplemented
304C4×D4×C61C23116yescomplemented
305C2×C4⋊C4×C61C2312yescomplemented
306C2×C22⋊C4×C61C2312yes—
307C2×C22⋊C4×C61C2311yescharacteristic
308C2×C22⋊C4×C61C2311yescharacteristic, complemented
309C2×C22⋊C4×C61C2312yescomplemented
310C2×C22⋊C4×C61C2312yescomplemented
311C2×C42×C61C2311yescharacteristic, complemented
312C24×C61—28no—
313C24×C61—28no—
314C24×C61—42no—
315C24×C61—44no—
316C24×C61—42no—
317C24×C61—44no—
318C24×C61—44no—
319C24×C61C2412yes—
320C24×C61C2411yescharacteristic
321C24×C61C2412yes—
322C24×C61C2411yescharacteristic
323C24×C61C2414yes—
324C24×C61C2412yes—
325C24×C61C2418yes—
326C24×C61C2414yescomplemented
327C23×D61—28no—
328C23×D61—28no—
329C23×D61—24no—
330C23×D61—28no—
331C23×D61—24no—
332C23×D61—416no—
333C23×D61—44no—
334C23×D61—44no—
335C23×D61—44no—
336C23×D61—44no—
337C23×D61—44no—
338C23×D61—42no—
339C23×D61—432no—
340C23×D61—44no—
341C23×D61—464no—
342C23×D61C2411yescharacteristic
343C23×D61C2412yes—
344C23×D61C2411yescharacteristic
345C23×D61C2418yes—
346C23×D61C2411yescharacteristic
347C23×D61C2414yes—
348C23×D61C2414yes—
349C23×D61C2418yes—
350C23×D61C2414yes—
351C2×D4×C61—28no—
352C2×D4×C61—28no—
353C2×D4×C61—28no—
354C2×D4×C61—42no—
355C2×D4×C61—42no—
356C2×D4×C61—44no—
357C2×D4×C61—44no—
358C2×D4×C61—44no—
359C2×D4×C61—44no—
360C2×D4×C61—432no—
361C2×D4×C61—432no—
362C2×D4×C61C2418yes—
363C2×D4×C61C2418yes—
364C2×D4×C61C2418yes—
365C2×D4×C61C2414yes—
366C2×D4×C61C2418yes—
367C2×D4×C61C2418yes—
368C2×D4×C61C2414yescomplemented
369C2×D4×C61C2418yescomplemented
370C2×D4×C61C2418yescomplemented
371C22×C4×C61—44no—
372C22×C4×C61—44no—
373C22×C4×C61C2411yescharacteristic
374C22×C4×C61C2412yes—
375C22×C4×C61C2412yes—
376C22×C4×C61C2412yes—
377C22×C4×C61C2418yes—
378C22×C4×C61C2418yescomplemented
379C2×C22⋊D61—28no—
380C2×C22⋊D61—28no—
381C2×C22⋊D61—28no—
382C2×C22⋊D61—44no—
383C2×C22⋊D61—42no—
384C2×C22⋊D61—42no—
385C2×C22⋊D61—44no—
386C2×C22⋊D61—44no—
387C2×C22⋊D61—44no—
388C2×C22⋊D61—44no—
389C2×C22⋊D61—44no—
390C2×C22⋊D61—44no—
391C2×C22⋊D61—432no—
392C2×C22⋊D61—44no—
393C2×C22⋊D61—44no—
394C2×C22⋊D61—432no—
395C2×C22⋊D61—416no—
396C2×C22⋊D61C2418yes—
397C2×C22⋊D61C2418yes—
398C2×C22⋊D61C2418yes—
399C2×C22⋊D61C2414yes—
400C2×C22⋊D61C2418yes—
401C2×C22⋊D61C2414yes—
402C2×C22⋊D61C2418yes—
403C2×C22⋊D61C2418yes—
404C2×C22⋊D61C2418yes—
405C2×C22⋊D61C2418yes—
406C2×C22⋊D61C2418yes—
407C2×C22⋊D61C2418yes—
408C2×C22⋊D61C2418yescomplemented
409C2×C22⋊D61C2418yescomplemented
410C22×Dic61—28no—
411C22×Dic61—44no—
412C22×Dic61—42no—
413C22×Dic61—44no—
414C22×Dic61—44no—
415C22×Dic61C2411yescharacteristic
416C22×Dic61C2412yes—
417C22×Dic61C2412yes—
418C22×Dic61C2412yes—
419C22×Dic61C2412yes—
420C22×Dic61C2412yes—
421C22×Dic61C2418yes—
422C22×Dic61C2418yes—
423C22×Dic61C2414yescomplemented
424C22×Dic61C2418yescomplemented
425C22×Dic61C2418yescomplemented
426#11758224—416no—
427#11758224—432no—
428D4×D61—416no—
429D4×D61—432no—
430C2×D244—42no—
431C2×D244—44no—
432C2×D244C2414yes—
433C2×D244C2418yes—
434C2×C4×D61—24no—
435C2×C4×D61—44no—
436C2×C4×D61—44no—
437C2×C4×D61C2414yes—
438C2×C4×D61C2418yes—
439C2×C4×D61C2418yescomplemented
440C2×Dic122—44no—
441C2×Dic122—42no—
442C2×Dic122C2414yescomplemented
443C2×Dic122C2418yescomplemented
444C4⋊C4×C61C2418yescomplemented
445C22⋊C4×C61C2418yes—
446C22⋊C4×C61C2414yes—
447C22⋊C4×C61C2418yescomplemented
448C22⋊C4×C61C2414yescomplemented
449C22⋊C4×C61C2418yescomplemented
450C42×C61C2414yescomplemented
451C22⋊Dic61C2418yes—
452C22⋊Dic61C2414yes—
453C22⋊Dic61C2418yes—
454C22⋊Dic61C2418yes—
455C22⋊Dic61C2418yes—
456C22⋊Dic61C2418yes—
457C22⋊Dic61C2414yescomplemented
458C22⋊Dic61C2418yescomplemented
459C22⋊Dic61C2418yescomplemented
460C22⋊Dic61C2418yescomplemented
461C22⋊Dic61C2418yescomplemented
462C22⋊Dic61C2418yescomplemented
463#11758198C2418yes—
464#11758198C2418yes—
465#11758198C2418yes—
466#11758198C2418yes—
467#11758198C2418yes—
468#11758198C2418yes—
469#11758198C2418yes—
470#11758198C2418yes—
471#11758198C2418yes—
472#11758198C2418yes—
473#11758198C2418yes—
474#11758198C2418yescomplemented
475C4⋊Dic61C2418yescomplemented
476C4⋊Dic61C2418yescomplemented
477#11758196C2418yescomplemented
478#11758196C2418yescomplemented
479#11758196C2418yescomplemented
480#11758196C2418yescomplemented
481#11758196C2418yescomplemented
482#11758196C2418yescomplemented
483C4×Dic61C2414yescomplemented
484C4×Dic61C2418yescomplemented
485C4×Dic61C2418yescomplemented
486C23×C61—24no—
487C23×C61—24no—
488C23×C61—24no—
489C23×C61—24no—
490C23×C61—22no—
491C23×C61—24no—
492C23×C61—24no—
493C23×C61—24no—
494C23×C61—24no—
495C23×C61—22no—
496C23×C61—24no—
497C23×C61—216no—
498C23×C61—24no—
499C23×C61—216no—
500C23×C61—44no—
501C23×C61—48no—
502C23×C61—44no—
503C23×C61—48no—
504C23×C61—48no—
505C23×C61—416no—
506C23×C61—816no—
507C23×C61—88no—
508C23×C61H(5,𝔽2)18yes—
509C23×C61C2512yes—
510C23×C61C2512yes—
511C23×C61C2514yes—
512C23×C61C2514yes—
513C23×C61C2514yes—
514C23×C61C2511yescharacteristic
515C22×D61—24no—
516C22×D61—24no—
517C22×D61—22no—
518C22×D61—22no—
519C22×D61—24no—
520C22×D61—216no—
521C22×D61—216no—
522C22×D61—24no—
523C22×D61—24no—
524C22×D61—24no—
525C22×D61—28no—
526C22×D61—216no—
527C22×D61—28no—
528C22×D61—48no—
529C22×D61—48no—
530C22×D61—48no—
531C22×D61—48no—
532C22×D61—48no—
533C22×D61—44no—
534C22×D61—48no—
535C22×D61—432no—
536C22×D61—416no—
537C22×D61—432no—
538C22×D61—4128no—
539C22×D61—416no—
540C22×D61—88no—
541C22×D61H(5,𝔽2)14yes—
542C22×D61C2514yes—
543C22×D61C2512yes—
544C22×D61C2512yes—
545C22×D61C2512yes—
546D4×C61—216no—
547D4×C61—216no—
548D4×C61—216no—
549D4×C61—44no—
550D4×C61—44no—
551D4×C61—48no—
552D4×C61—48no—
553D4×C61—48no—
554D4×C61—48no—
555C2×C4×C61—22no—
556C2×C4×C61—24no—
557C2×C4×C61—24no—
558C2×C4×C61—24no—
559C2×C4×C61—48no—
560C2×C4×C61—48no—
561C2×C4×C61C2514yes—
562C2×C4×C61C2512yes—
563C2×C4×C61C2514yes—
564C2×C4×C61C2514yes—
565C22⋊D61—216no—
566C22⋊D61—216no—
567C22⋊D61—216no—
568C22⋊D61—48no—
569C22⋊D61—44no—
570C22⋊D61—44no—
571C22⋊D61—48no—
572C22⋊D61—48no—
573C22⋊D61—48no—
574C22⋊D61—48no—
575C22⋊D61—48no—
576C22⋊D61—48no—
577C22⋊D61—48no—
578C22⋊D61—48no—
579C2×Dic61—24no—
580C2×Dic61—24no—
581C2×Dic61—24no—
582C2×Dic61—22no—
583C2×Dic61—24no—
584C2×Dic61—216no—
585C2×Dic61—24no—
586C2×Dic61—48no—
587C2×Dic61—48no—
588C2×Dic61—48no—
589C2×Dic61—44no—
590C2×Dic61C2514yes—
591C2×Dic61C2514yes—
592C2×Dic61C2514yes—
593C2×Dic61C2514yes—
594C2×Dic61C2514yes—
595C2×Dic61C2512yes—
596D244—44no—
597D244—48no—
598C4×D61—28no—
599C4×D61—48no—
600C4×D61—48no—
601Dic122—48no—
602Dic122—44no—
603C2×#3532—611nomaximal, Sylow
604C22×C61—24no—
605C22×C61—24no—
606C22×C61—216no—
607C22×C61—24no—
608C22×C61—24no—
609C22×C61—22no—
610C22×C61—24no—
611C22×C61—24no—
612C22×C61—24no—
613C22×C61—24no—
614C22×C61—22no—
615C22×C61—24no—
616C22×C61—24no—
617C22×C61—416no—
618C22×C61—44no—
619C22×C61—44no—
620C22×C61—48no—
621C22×C61—48no—
622C22×C61—816no—
623C22×C61—88no—
624C22×C61C2×H(5,𝔽2)12yes—
625C22×C61C2×H(5,𝔽2)18yes—
626C22×C61C2×H(5,𝔽2)14yes—
627C22×C61C2611yescharacteristic
628C2×D61—24no—
629C2×D61—28no—
630C2×D61—24no—
631C2×D61—22no—
632C2×D61—22no—
633C2×D61—24no—
634C2×D61—24no—
635C2×D61—24no—
636C2×D61—24no—
637C2×D61—432no—
638C2×D61—416no—
639C2×D61—432no—
640C2×D61—416no—
641C2×D61—48no—
642C2×D61—44no—
643C2×D61—44no—
644C2×D61—88no—
645C2×D61C2×H(5,𝔽2)14yes—
646C4×C61—22no—
647C4×C61—24no—
648C4×C61—24no—
649C4×C61—24no—
650Dic61—24no—
651Dic61—24no—
652Dic61—24no—
653Dic61—22no—
654Dic61—24no—
655Dic61—24no—
656#3532—6132no—
657C2×H(3,𝔽4)—611no—
658C2×#560—611no—
659C2×#560—612no—
660C2×#551—611no—
661C2×#551—612no—
662C2×#546—612no—
663C2×#546—612no—
664C2×#546—612no—
665C2×D42—612no—
666C2×D42D6111yescharacteristic, complemented
667C2×#538—612no—
668C2×#538—612no—
669C2×#538—612no—
670C2×#535—611no—
671C2×#535—612no—
672C2×#534—612no—
673C2×#534—611no—
674C22×#120—612no—
675C22×#120—611no—
676C2×C61—28no—
677C2×C61—42no—
678C2×C61—42no—
679C2×C61—44no—
680C2×C61—44no—
681C2×C61#353214yescomplemented
682C2×C61C22×H(5,𝔽2)11yescharacteristic
683C2×C61C22×H(5,𝔽2)12yes—
684D61—24no—
685D61—44no—
686D61—42no—
687D61—42no—
688C26—611no—
689C22×#41—612no—
690C22×#41—611no—
691C23×D4—612no—
692C23×D4—612no—
693C23×D4—611no—
694C23×D4—611no—
695C23×D4—612no—
696C23×D4C2×D6112yescomplemented
697C23×D4C2×D6112yescomplemented
698H(3,𝔽4)—6116no—
699#560—6116no—
700#560—6132no—
701#551—6116no—
702#551—6132no—
703#546—6132no—
704#546—6132no—
705#546—6132no—
706D42—6132no—
707D42C2×D61116yescomplemented
708#538—6132no—
709#538—6132no—
710#538—6132no—
711#535—6116no—
712#535—6132no—
713#534—6132no—
714#534—6116no—
715C2×#127—611no—
716C2×#127—612no—
717C2×#127C2×D6111yescharacteristic, complemented
718C2×#126—612no—
719C2×#126—612no—
720C2×#126—612no—
721C2×#126—612no—
722C2×#124—611no—
723C2×#124—612no—
724C2×#124—612no—
725C2×#124—612no—
726C2×#124—612no—
727C2×#124—612no—
728C2×#124—611no—
729C2×#123—612no—
730C2×#123—612no—
731C2×#123—611no—
732C2×#123—612no—
733C2×#123—612no—
734C2×#123—612no—
735C2×#123—612no—
736C2×#123—612no—
737C2×#123—611no—
738C2×#123—612no—
739C2×C22⋊Q8—612no—
740C2×C22⋊Q8—612no—
741C2×C22⋊Q8—612no—
742C2×#121—612no—
743C2×#121—612no—
744C2×#121—612no—
745C2×#121—612no—
746C2×#121—612no—
747C2×#121—612no—
748C2×#121—612no—
749C2×#121—612no—
750C2×#121—612no—
751C2×#121—612no—
752C2×#121—612no—
753C2×#121—612no—
754C2×#121—612no—
755C2×#121C2×D6112yescomplemented
756C2×#121C2×D6112yescomplemented
757C2×#120—611no—
758C2×#120—612no—
759C2×#120—611no—
760C2×#120—612no—
761C2×#120—612no—
762C2×#120—612no—
763C2×#120—612no—
764C2×#120—612no—
765C2×#120—612no—
766C2×#120—612no—
767C2×#120—612no—
768C2×#120—612no—
769C2×#120—612no—
770C2×#120—611no—
771C2×#120—6132no—
772C2×#120—612no—
773C2×#120—6116no—
774C2×#120—612no—
775C2×#120—611no—
776C2×#120C2×D6111yescharacteristic
777C2×#120C2×D6112yescomplemented
778C2×#120C2×D6111yescharacteristic, complemented
779C2×C4×D4—612no—
780C2×C4×D4—612no—
781C2×C4×D4—612no—
782C2×C4×D4—612no—
783C2×C4×D4—612no—
784C2×C4×D4C2×D6112yescomplemented
785C2×#117—612no—
786C2×#117—611no—
787C22×C22⋊C4—612no—
788C22×C22⋊C4—612no—
789C22×C22⋊C4—612no—
790C22×C22⋊C4—612no—
791C22×C22⋊C4—611no—
792C22×C22⋊C4—612no—
793C22×C22⋊C4—611no—
794C61C2×#353211yescharacteristic, complemented, Sylow
795C25—612no—
796C25—611no—
797C25—612no—
798C25—611no—
799C25—611no—
800C25—618no—
801C25—2448no—
802C25—2444no—
803C25C22×D6111yescharacteristic
804C25C22×D6112yes—
805C25C22×D6111yescharacteristic, complemented
806C2×#41—6116no—
807C2×#41—618no—
808C2×#41—2448no—
809C2×#41—2444no—
810C22×Q8—612no—
811C22×Q8—611no—
812C22×D4—48no—
813C22×D4—48no—
814C22×D4—612no—
815C22×D4—612no—
816C22×D4—612no—
817C22×D4—611no—
818C22×D4—612no—
819C22×D4—612no—
820C22×D4—612no—
821C22×D4—612no—
822C22×D4—612no—
823C22×D4—611no—
824C22×D4—612no—
825C22×D4—612no—
826C22×D4—612no—
827C22×D4—6116no—
828C22×D4—6116no—
829C22×D4—612no—
830C22×D4—618no—
831C22×D4—618no—
832C22×D4—6116no—
833C22×D4—612no—
834C22×D4—611no—
835C22×D4—2444no—
836C22×D4—2448no—
837C22×D4—2448no—
838C22×D4—2444no—
839C22×D4—2448no—
840C22×D4C22×D6112yes—
841C22×D4C22×D6112yes—
842C22×D4C22×D6112yes—
843C22×D4C22×D6112yes—
844C22×D4C22×D6112yes—
845C22×D4C22×D6111yescharacteristic
846C22×D4C22×D61116yescomplemented
847C22×D4C22×D6112yescomplemented
848C22×D4C22×D6111yescharacteristic, complemented
849C22×D4C22×D6112yescomplemented
850C22×D4C22×D61116yescomplemented
851C23×C4—612no—
852C23×C4—612no—
853C23×C4—612no—
854C23×C4—612no—
855C23×C4—611no—
856C23×C4—611no—
857C23×C4—612no—
858C23×C4—612no—
859C23×C4C22×D6112yes—
860C23×C4C22×D6112yescomplemented
861#127—618no—
862#127—6116no—
863#127C22×D6118yescomplemented
864#126—6116no—
865#126—6116no—
866#126—6116no—
867#126—6116no—
868#124—618no—
869#124—6116no—
870#124—6116no—
871#124—6116no—
872#124—6116no—
873#124—6116no—
874#124—618no—
875#123—6116no—
876#123—6116no—
877#123—618no—
878#123—6116no—
879#123—6116no—
880#123—6116no—
881#123—6116no—
882#123—618no—
883#123—6116no—
884#123—6116no—
885C22⋊Q8—6116no—
886C22⋊Q8—6116no—
887C22⋊Q8—6116no—
888#121—6116no—
889#121—6116no—
890#121—6116no—
891#121—6116no—
892#121—6116no—
893#121—6116no—
894#121—6116no—
895#121—6116no—
896#121—6116no—
897#121—6116no—
898#121—6116no—
899#121—6116no—
900#121—6116no—
901#121C22×D61116yescomplemented
902#121C22×D61116yescomplemented
903#120—618no—
904#120—6116no—
905#120—618no—
906#120—6116no—
907#120—6116no—
908#120—6116no—
909#120—6116no—
910#120—6116no—
911#120—6116no—
912#120—6116no—
913#120—6116no—
914#120—6116no—
915#120—6116no—
916#120—618no—
917#120—6116no—
918#120—6116no—
919#120—618no—
920#120C22×D6118yes—
921#120C22×D61116yescomplemented
922#120C22×D6118yescomplemented
923C4×D4—6116no—
924C4×D4—6116no—
925C4×D4—6116no—
926C4×D4—6116no—
927C4×D4—6116no—
928C4×D4C22×D61116yescomplemented
929#117—6116no—
930#117—618no—
931C2×C4⋊C4—612no—
932C2×C4⋊C4—612no—
933C2×C4⋊C4—612no—
934C2×C4⋊C4—612no—
935C2×C4⋊C4—612no—
936C2×C4⋊C4—612no—
937C2×C4⋊C4—612no—
938C2×C4⋊C4—612no—
939C2×C4⋊C4C22×D6112yescomplemented
940C2×C22⋊C4—612no—
941C2×C22⋊C4—612no—
942C2×C22⋊C4—612no—
943C2×C22⋊C4—612no—
944C2×C22⋊C4—612no—
945C2×C22⋊C4—611no—
946C2×C22⋊C4—6116no—
947C2×C22⋊C4—611no—
948C2×C22⋊C4—612no—
949C2×C22⋊C4—612no—
950C2×C22⋊C4—6116no—
951C2×C22⋊C4—612no—
952C2×C22⋊C4—612no—
953C2×C22⋊C4—612no—
954C2×C22⋊C4—612no—
955C2×C22⋊C4—612no—
956C2×C22⋊C4—612no—
957C2×C22⋊C4—612no—
958C2×C22⋊C4—612no—
959C2×C22⋊C4—612no—
960C2×C22⋊C4—612no—
961C2×C22⋊C4—612no—
962C2×C22⋊C4—612no—
963C2×C22⋊C4—612no—
964C2×C22⋊C4—612no—
965C2×C22⋊C4—6116no—
966C2×C22⋊C4—6116no—
967C2×C22⋊C4—612no—
968C2×C22⋊C4—618no—
969C2×C22⋊C4—6116no—
970C2×C22⋊C4—618no—
971C2×C22⋊C4C22×D6112yes—
972C2×C22⋊C4C22×D6111yescharacteristic
973C2×C22⋊C4C22×D6111yescharacteristic, complemented
974C2×C22⋊C4C22×D6112yescomplemented
975C2×C22⋊C4C22×D6112yescomplemented
976C2×C42—611no—
977C2×C42—612no—
978C2×C42—612no—
979C2×C42C22×D6111yescharacteristic, complemented
980C24—28no—
981C24—28no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—42no—
987C24—611no—
988C24—612no—
989C24—611no—
990C24—611no—
991C24—618no—
992C24—614no—
993C24—618no—
994C24—614no—
995C24—614no—
996C24—1224no—
997C24—1228no—
998C24—1224no—
999C24—1228no—
1000C24—1228no—
1001C24—2444no—
1002C24—2444no—
1003C24—2444no—
1004C24—2444no—
1005C24—2442no—
1006C24—2444no—
1007C24—2444no—
1008C24—24432no—
1009C24—24416no—
1010C24—24464no—
1011C24C23×D6111yescharacteristic
1012C24C23×D6111yescharacteristic
1013C24C23×D6112yes—
1014C24C23×D6112yes—
1015C24C23×D6114yes—
1016C24C23×D6112yes—
1017C24C23×D6118yes—
1018C24C23×D6114yescomplemented
1019#41—24432no—
1020#41—24416no—
1021C2×Q8—618no—
1022C2×Q8—614no—
1023C2×Q8—2442no—
1024C2×Q8—2444no—
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—618no—
1037C2×D4—618no—
1038C2×D4—618no—
1039C2×D4—614no—
1040C2×D4—618no—
1041C2×D4—618no—
1042C2×D4—618no—
1043C2×D4—618no—
1044C2×D4—618no—
1045C2×D4—614no—
1046C2×D4—618no—
1047C2×D4—618no—
1048C2×D4—618no—
1049C2×D4—618no—
1050C2×D4—618no—
1051C2×D4—614no—
1052C2×D4—1228no—
1053C2×D4—1228no—
1054C2×D4—1228no—
1055C2×D4—2442no—
1056C2×D4—2444no—
1057C2×D4—24416no—
1058C2×D4—2442no—
1059C2×D4—2442no—
1060C2×D4—2444no—
1061C2×D4—2444no—
1062C2×D4—2444no—
1063C2×D4—2444no—
1064C2×D4—2444no—
1065C2×D4—2444no—
1066C2×D4—2444no—
1067C2×D4—24432no—
1068C2×D4—2444no—
1069C2×D4—2444no—
1070C2×D4—24432no—
1071C2×D4—24416no—
1072C2×D4—24432no—
1073C2×D4C23×D6118yes—
1074C2×D4C23×D6118yes—
1075C2×D4C23×D6118yes—
1076C2×D4C23×D6118yes—
1077C2×D4C23×D6118yes—
1078C2×D4C23×D6114yes—
1079C2×D4C23×D6118yescomplemented
1080C2×D4C23×D6114yescomplemented
1081C2×D4C23×D6118yescomplemented
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—618no—
1085C22×C4—612no—
1086C22×C4—612no—
1087C22×C4—612no—
1088C22×C4—612no—
1089C22×C4—611no—
1090C22×C4—612no—
1091C22×C4—618no—
1092C22×C4—618no—
1093C22×C4—618no—
1094C22×C4—614no—
1095C22×C4—614no—
1096C22×C4—618no—
1097C22×C4—618no—
1098C22×C4—1224no—
1099C22×C4—1228no—
1100C22×C4—2444no—
1101C22×C4—2444no—
1102C22×C4—2442no—
1103C22×C4—2444no—
1104C22×C4—2444no—
1105C22×C4—2444no—
1106C22×C4C23×D6111yescharacteristic
1107C22×C4C23×D6112yes—
1108C22×C4C23×D6112yes—
1109C22×C4C23×D6112yes—
1110C22×C4C23×D6118yes—
1111C22×C4C23×D6118yescomplemented
1112C4⋊C4—618no—
1113C4⋊C4—618no—
1114C4⋊C4—618no—
1115C4⋊C4—618no—
1116C4⋊C4—618no—
1117C4⋊C4—618no—
1118C4⋊C4—618no—
1119C4⋊C4—618no—
1120C4⋊C4C23×D6118yescomplemented
1121C22⋊C4—618no—
1122C22⋊C4—618no—
1123C22⋊C4—618no—
1124C22⋊C4—618no—
1125C22⋊C4—618no—
1126C22⋊C4—614no—
1127C22⋊C4—614no—
1128C22⋊C4—618no—
1129C22⋊C4—618no—
1130C22⋊C4—618no—
1131C22⋊C4—618no—
1132C22⋊C4—618no—
1133C22⋊C4—618no—
1134C22⋊C4—618no—
1135C22⋊C4—618no—
1136C22⋊C4—618no—
1137C22⋊C4—618no—
1138C22⋊C4—618no—
1139C22⋊C4—618no—
1140C22⋊C4—618no—
1141C22⋊C4—618no—
1142C22⋊C4—618no—
1143C22⋊C4—618no—
1144C22⋊C4—618no—
1145C22⋊C4C23×D6118yes—
1146C22⋊C4C23×D6114yes—
1147C22⋊C4C23×D6114yescomplemented
1148C22⋊C4C23×D6118yescomplemented
1149C22⋊C4C23×D6118yescomplemented
1150C42—614no—
1151C42—618no—
1152C42—618no—
1153C42C23×D6114yescomplemented
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—614no—
1177C23—612no—
1178C23—614no—
1179C23—612no—
1180C23—612no—
1181C23—1228no—
1182C23—12216no—
1183C23—1228no—
1184C23—1224no—
1185C23—1222no—
1186C23—1222no—
1187C23—1224no—
1188C23—1224no—
1189C23—12216no—
1190C23—12216no—
1191C23—1224no—
1192C23—1224no—
1193C23—1224no—
1194C23—4888no—
1195C23—2448no—
1196C23—2448no—
1197C23—2448no—
1198C23—2448no—
1199C23—2444no—
1200C23—2448no—
1201C23—2448no—
1202C23—24432no—
1203C23—24432no—
1204C23—24416no—
1205C23—244128no—
1206C23—24416no—
1207C23#1451982218yes—
1208C23C24×D6112yes—
1209C23C24×D6112yes—
1210C23C24×D6114yes—
1211C23C24×D6114yes—
1212C23C24×D6114yes—
1213C23C24×D6111yescharacteristic
1214Q8—2444no—
1215Q8—2448no—
1216D4—216no—
1217D4—216no—
1218D4—216no—
1219D4—48no—
1220D4—48no—
1221D4—48no—
1222D4—48no—
1223D4—44no—
1224D4—44no—
1225D4—12216no—
1226D4—12216no—
1227D4—12216no—
1228D4—2444no—
1229D4—2448no—
1230D4—2444no—
1231D4—2444no—
1232D4—2448no—
1233D4—2448no—
1234D4—2448no—
1235D4—2448no—
1236D4—2448no—
1237D4—2448no—
1238D4—2448no—
1239D4—2448no—
1240D4—2448no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—48no—
1246C2×C4—48no—
1247C2×C4—614no—
1248C2×C4—614no—
1249C2×C4—614no—
1250C2×C4—614no—
1251C2×C4—612no—
1252C2×C4—614no—
1253C2×C4—1228no—
1254C2×C4—1222no—
1255C2×C4—1224no—
1256C2×C4—1224no—
1257C2×C4—1224no—
1258C2×C4—1224no—
1259C2×C4—12216no—
1260C2×C4—1224no—
1261C2×C4—2448no—
1262C2×C4—2448no—
1263C2×C4—2444no—
1264C2×C4—2448no—
1265C2×C4—2448no—
1266C2×C4—2448no—
1267C2×C4C24×D6112yes—
1268C2×C4C24×D6114yes—
1269C2×C4C24×D6114yes—
1270C2×C4C24×D6114yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
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—48no—
1288C22—44no—
1289C22—816no—
1290C22—88no—
1291C22—614no—
1292C22—1228no—
1293C22—1224no—
1294C22—1222no—
1295C22—1222no—
1296C22—1224no—
1297C22—1224no—
1298C22—1224no—
1299C22—1224no—
1300C22—1224no—
1301C22—4888no—
1302C22—24432no—
1303C22—24432no—
1304C22—24416no—
1305C22—24416no—
1306C22—2444no—
1307C22—2448no—
1308C22—2444no—
1309C22H(5,𝔽2)×D6112yes—
1310C22C2×#1451982218yes—
1311C22C2×#1451982214yes—
1312C22C25×D6111yescharacteristic
1313C4—22no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—1222no—
1318C4—1224no—
1319C4—1224no—
1320C4—1224no—
1321C4—1224no—
1322C4—1224no—
1323C2—28no—
1324C2—42no—
1325C2—44no—
1326C2—42no—
1327C2—44no—
1328C2—1224no—
1329C2—2442no—
1330C2—2444no—
1331C2—2442no—
1332C2#2145996914yesdirect product factor
1333C2C2×H(5,𝔽2)×D6111yescharacteristic
1334C2C22×#1451982212yes—
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×D42×C61C2
socleC23×C61C25
hypercenterC2×D42D61
hypocenterC61C2×#3532
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #21459969C2direct (N × H)
2. C2×#16840505C2semidirect
3. C2×#16840500C2semidirect
4. C2×#16840499C2semidirect
5. C2×#16840443C2semidirect
6. C2×#16840441C2semidirect
7. C2×#16840406C2semidirect
8. C2×#16840401C2semidirect
9. C2×#16840399C2semidirect
10. C2×D4×C22⋊D61C2semidirect
11. C2×#16840349C2semidirect
12. C2×#16840345C2semidirect
13. C2×#16840344C2semidirect
14. C2×#16840327C2semidirect
15. C2×#16840325C2semidirect
16. C2×#16840322C2semidirect
17. C2×#16840321C2semidirect
18. C22×#14519745C2semidirect
19. C2×#120×D61C2semidirect
20. C2×D42×C61C2semidirect
21. C25×D61C22semidirect
22. C22×#11758224C22semidirect
23. C22×#11758224C22semidirect
24. C23×C22⋊D61C22semidirect
25. C23×C22⋊D61C22semidirect
26. C23×C22⋊D61C22semidirect
27. C22×D4×D61C22semidirect
28. C22×D4×D61C22semidirect
29. #16840505C22semidirect
30. #16840500C22semidirect
31. #16840499C22semidirect
32. #16840443C22semidirect
33. #16840441C22semidirect
34. #16840406C22semidirect
35. #16840401C22semidirect
36. #16840399C22semidirect
37. D4×C22⋊D61C22semidirect
38. #16840349C22semidirect
39. #16840345C22semidirect
40. #16840344C22semidirect
41. #16840327C22semidirect
42. #16840325C22semidirect
43. #16840322C22semidirect
44. #16840321C22semidirect
45. C2×#14519773C22semidirect
46. C2×#14519773C22semidirect
47. C2×#14519772C22semidirect
48. C2×#14519772C22semidirect
49. C2×#14519771C22semidirect
50. C2×#14519770C22semidirect
51. C2×#14519765C22semidirect
52. C2×#14519764C22semidirect
53. C2×#14519764C22semidirect
54. C2×#14519763C22semidirect
55. C2×#14519763C22semidirect
56. C2×#14519763C22semidirect
57. C2×#14519763C22semidirect
58. C2×#14519762C22semidirect
59. C2×#14519761C22semidirect
60. C2×#14519761C22semidirect
61. C2×#14519760C22semidirect
62. C2×#14519760C22semidirect
63. C2×#14519759C22semidirect
64. C2×#14519758C22semidirect
65. C2×#14519758C22semidirect
66. C2×#14519758C22semidirect
67. C2×#14519758C22semidirect
68. C2×#14519756C22semidirect
69. C2×#14519755C22semidirect
70. C2×#14519754C22semidirect
71. C2×#14519751C22semidirect
72. C2×#14519750C22semidirect
73. C2×#14519750C22semidirect
74. C2×#14519749C22semidirect
75. C2×#14519749C22semidirect
76. C2×#14519749C22semidirect
77. C2×#14519749C22semidirect
78. C2×#14519749C22semidirect
79. C2×#14519749C22semidirect
80. C2×#14519749C22semidirect
81. C2×#14519749C22semidirect
82. C2×#14519748C22semidirect
83. C2×#14519748C22semidirect
84. C2×#14519747C22semidirect
85. C2×#14519747C22semidirect
86. C2×#14519746C22semidirect
87. C2×#14519746C22semidirect
88. C2×#14519746C22semidirect
89. C2×#14519746C22semidirect
91. C2×#14519745C22semidirect
92. C2×#14519745C22semidirect
93. C2×#14519745C22semidirect
94. C2×#14519745C22semidirect
95. C2×#14519745C22semidirect
96. C2×#14519745C22semidirect
97. C2×#14519745C22semidirect
98. C2×#14519745C22semidirect
99. C2×#14519745C22semidirect
100. C2×#14519745C22semidirect
101. C2×#14519745C22semidirect
102. #120×D61C22semidirect
103. C2×D4×Dic61C22semidirect
104. C2×D4×Dic61C22semidirect
105. C2×C4×C22⋊D61C22semidirect
106. C2×C4×C22⋊D61C22semidirect
107. C2×#14519737C22semidirect
108. C2×#14519734C22semidirect
109. C2×#14519733C22semidirect
110. C22×C22⋊Dic61C22semidirect
111. C22×C22⋊Dic61C22semidirect
112. C22×#11758198C22semidirect
113. C22×#11758198C22semidirect
114. C2×C22⋊C4×D61C22semidirect
115. C2×C22⋊C4×D61C22semidirect
116. C2×C22⋊C4×D61C22semidirect
117. C23×D4×C61C22semidirect
118. C23×D4×C61C22semidirect
119. D42×C61C22semidirect
120. C2×#127×C61C22semidirect
121. C2×#121×C61C22semidirect
122. C2×#121×C61C22semidirect
124. C2×#120×C61C22semidirect
125. C2×#120×C61C22semidirect
126. C2×C4×D4×C61C22semidirect
134. C24×D61C23semidirect
137. C2×#11758224C23semidirect
138. C2×#11758224C23semidirect
139. C22×Dic122C23semidirect
140. C22×Dic122C23semidirect
158. C22×C22⋊D61C23semidirect
159. C22×C22⋊D61C23semidirect
160. C22×C22⋊D61C23semidirect
161. C22×C22⋊D61C23semidirect
162. C22×C22⋊D61C23semidirect
165. C2×D4×D61C23semidirect
166. C2×D4×D61C23semidirect
169. C23×Dic61C23semidirect
170. C23×Dic61C23semidirect
171. C23×Dic61C23semidirect
174. C22×C4×D61C23semidirect
175. #14519773C23semidirect
176. #14519773C23semidirect
177. #14519772C23semidirect
178. #14519772C23semidirect
179. #14519771C23semidirect
180. #14519770C23semidirect
181. #14519765C23semidirect
182. #14519764C23semidirect
183. #14519764C23semidirect
184. #14519763C23semidirect
185. #14519763C23semidirect
186. #14519763C23semidirect
187. #14519763C23semidirect
188. #14519762C23semidirect
189. #14519761C23semidirect
190. #14519761C23semidirect
191. #14519760C23semidirect
192. #14519760C23semidirect
193. #14519759C23semidirect
194. #14519758C23semidirect
195. #14519758C23semidirect
196. #14519758C23semidirect
197. #14519758C23semidirect
198. #14519756C23semidirect
199. #14519755C23semidirect
200. #14519754C23semidirect
201. #14519751C23semidirect
202. #14519750C23semidirect
203. #14519750C23semidirect
204. #14519749C23semidirect
205. #14519749C23semidirect
206. #14519749C23semidirect
207. #14519749C23semidirect
208. #14519749C23semidirect
209. #14519749C23semidirect
210. #14519749C23semidirect
211. #14519749C23semidirect
212. #14519748C23semidirect
213. #14519748C23semidirect
214. #14519747C23semidirect
215. #14519747C23semidirect
216. #14519746C23semidirect
217. #14519746C23semidirect
218. #14519746C23semidirect
219. #14519746C23semidirect
221. #14519745C23semidirect
222. #14519745C23semidirect
223. #14519745C23semidirect
224. #14519745C23semidirect
225. #14519745C23semidirect
226. #14519745C23semidirect
227. #14519745C23semidirect
228. #14519745C23semidirect
229. #14519745C23semidirect
230. #14519745C23semidirect
231. D4×Dic61C23semidirect
232. D4×Dic61C23semidirect
233. C4×C22⋊D61C23semidirect
234. C4×C22⋊D61C23semidirect
235. #14519737C23semidirect
236. #14519734C23semidirect
237. #14519733C23semidirect
238. C2×C4⋊Dic61C23semidirect
239. C2×C4⋊Dic61C23semidirect
240. C2×#11758196C23semidirect
241. C2×#11758196C23semidirect
242. C2×#11758196C23semidirect
243. C2×#11758196C23semidirect
244. C2×#11758196C23semidirect
245. C2×#11758196C23semidirect
252. C2×C22⋊Dic61C23semidirect
253. C2×C22⋊Dic61C23semidirect
254. C2×C22⋊Dic61C23semidirect
255. C2×C22⋊Dic61C23semidirect
256. C2×C22⋊Dic61C23semidirect
257. C2×C22⋊Dic61C23semidirect
258. C2×C22⋊Dic61C23semidirect
259. C2×C22⋊Dic61C23semidirect
271. C2×#11758198C23semidirect
272. C2×#11758198C23semidirect
273. C2×#11758198C23semidirect
274. C22⋊C4×D61C23semidirect
275. C22⋊C4×D61C23semidirect
276. C22⋊C4×D61C23semidirect
277. C2×C4×Dic61C23semidirect
278. C2×C4×Dic61C23semidirect
279. C2×C4×Dic61C23semidirect
282. C25×C61C23semidirect
291. C22×D4×C61C23semidirect
292. C22×D4×C61C23semidirect
293. C22×D4×C61C23semidirect
294. C22×D4×C61C23semidirect
295. C22×D4×C61C23semidirect
297. C23×C4×C61C23semidirect
298. #127×C61C23semidirect
299. #121×C61C23semidirect
300. #121×C61C23semidirect
302. #120×C61C23semidirect
303. #120×C61C23semidirect
304. C4×D4×C61C23semidirect
305. C2×C4⋊C4×C61C23semidirect
308. C2×C22⋊C4×C61C23semidirect
309. C2×C22⋊C4×C61C23semidirect
310. C2×C22⋊C4×C61C23semidirect
311. C2×C42×C61C23semidirect
326. C24×C61C24semidirect
368. C2×D4×C61C24semidirect
369. C2×D4×C61C24semidirect
370. C2×D4×C61C24semidirect
378. C22×C4×C61C24semidirect
408. C2×C22⋊D61C24semidirect
409. C2×C22⋊D61C24semidirect
423. C22×Dic61C24semidirect
424. C22×Dic61C24semidirect
425. C22×Dic61C24semidirect
439. C2×C4×D61C24semidirect
442. C2×Dic122C24semidirect
443. C2×Dic122C24semidirect
444. C4⋊C4×C61C24semidirect
447. C22⋊C4×C61C24semidirect
448. C22⋊C4×C61C24semidirect
449. C22⋊C4×C61C24semidirect
450. C42×C61C24semidirect
457. C22⋊Dic61C24semidirect
458. C22⋊Dic61C24semidirect
459. C22⋊Dic61C24semidirect
460. C22⋊Dic61C24semidirect
461. C22⋊Dic61C24semidirect
462. C22⋊Dic61C24semidirect
474. #11758198C24semidirect
475. C4⋊Dic61C24semidirect
476. C4⋊Dic61C24semidirect
477. #11758196C24semidirect
478. #11758196C24semidirect
479. #11758196C24semidirect
480. #11758196C24semidirect
481. #11758196C24semidirect
482. #11758196C24semidirect
483. C4×Dic61C24semidirect
484. C4×Dic61C24semidirect
485. C4×Dic61C24semidirect
666. C2×D42D61semidirect
681. C2×C61#3532semidirect
696. C23×D4C2×D61semidirect
697. C23×D4C2×D61semidirect
707. D42C2×D61semidirect
717. C2×#127C2×D61semidirect
755. C2×#121C2×D61semidirect
756. C2×#121C2×D61semidirect
777. C2×#120C2×D61semidirect
778. C2×#120C2×D61semidirect
784. C2×C4×D4C2×D61semidirect
794. C61C2×#3532semidirect
805. C25C22×D61semidirect
846. C22×D4C22×D61semidirect
847. C22×D4C22×D61semidirect
848. C22×D4C22×D61semidirect
849. C22×D4C22×D61semidirect
850. C22×D4C22×D61semidirect
860. C23×C4C22×D61semidirect
863. #127C22×D61semidirect
901. #121C22×D61semidirect
902. #121C22×D61semidirect
921. #120C22×D61semidirect
922. #120C22×D61semidirect
928. C4×D4C22×D61semidirect
939. C2×C4⋊C4C22×D61semidirect
973. C2×C22⋊C4C22×D61semidirect
974. C2×C22⋊C4C22×D61semidirect
975. C2×C22⋊C4C22×D61semidirect
979. C2×C42C22×D61semidirect
1018. C24C23×D61semidirect
1079. C2×D4C23×D61semidirect
1080. C2×D4C23×D61semidirect
1081. C2×D4C23×D61semidirect
1111. C22×C4C23×D61semidirect
1120. C4⋊C4C23×D61semidirect
1147. C22⋊C4C23×D61semidirect
1148. C22⋊C4C23×D61semidirect
1149. C22⋊C4C23×D61semidirect
1153. C42C23×D61semidirect
1332. C2#21459969direct (N × H)

Maximal subgroups

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

subgroupindex
#214599692
C2×#168405052
C2×#168405002
C2×#168404992
C2×#168404432
C2×#168404412
C2×#168404062
C2×#168404012
C2×#168403992
C2×D4×C22⋊D612
C2×#168403492
C2×#168403452
C2×#168403442
C2×#168403272
C2×#168403252
C2×#168403222
C2×#168403212
C22×#145197452
C2×#120×D612
C2×D42×C612
C2×#353261