Finite Group Databasebeta

← C2×#21459505 #30587924

Subgroups — C2×#21459505 #30587924

Order 15616.

9502 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459505C2132yesmaximal, direct product factor
2C2×#16840442C212yesmaximal, complemented
3C2×#16840440C212yesmaximal, complemented
4C2×#16840437C212yesmaximal, complemented
5C2×#16840437C212yesmaximal, complemented
6C2×#16840409C212yesmaximal, complemented
7C2×#16840405C212yesmaximal, complemented
8C2×#16840404C212yesmaximal, complemented
9C2×#16840401C212yesmaximal, complemented
10C2×#16840387C211yesmaximal, characteristic, complemented
11C2×#16840350C211yesmaximal, characteristic, complemented
12C2×#16840347C212yesmaximal, complemented
13C2×#16840320C211yesmaximal, characteristic, complemented
14C2×#16840275C211yesmaximal, characteristic, complemented
15C2×#16840272C211yesmaximal, characteristic, complemented
16C2×#16840271C212yesmaximal, complemented
17C2×#120×D61C212yesmaximal, complemented
18C2×#16840234C212yesmaximal, complemented
19C22×C22⋊C4×D61C211yesmaximal, characteristic, complemented
20C2×C61×#538C211yesmaximal, characteristic, complemented
21C25×D61C2211yescharacteristic
22C22×#11758226C2211yescharacteristic, complemented
23C22×#11758222C2212yescomplemented
24C22×#11758224C2211yescharacteristic, complemented
25C22×D4×D61C2212yes—
26C22×D4×D61C2212yescomplemented
27C22×D4×D61C2212yescomplemented
28C23×C4×D61C2211yescharacteristic, complemented
29C23×C4×D61C2211yescharacteristic, complemented
30#16840442C22132yescomplemented
31#16840440C22132yescomplemented
32#16840437C22132yescomplemented
33#16840437C22132yescomplemented
34#16840409C22132yescomplemented
35#16840405C22132yescomplemented
36#16840404C22132yescomplemented
37#16840401C22132yescomplemented
38#16840387C22116yescomplemented
39#16840350C22116yescomplemented
40#16840347C22132yescomplemented
41#16840320C22116yescomplemented
42C2×#14519770C2212yescomplemented
43C2×#14519770C2212yescomplemented
44C2×#14519770C2212yescomplemented
45C2×#14519764C2212yescomplemented
46C2×#14519763C2212yescomplemented
47C2×#14519763C2212yescomplemented
48#16840275C22116yescomplemented
49#16840272C22116yescomplemented
50#16840271C22132yescomplemented
51C2×#14519762C2212yescomplemented
52C2×#14519762C2212yescomplemented
53C2×#14519762C2212yescomplemented
54C2×#14519759C2212yescomplemented
55C2×#14519759C2212yescomplemented
56C2×#14519759C2212yescomplemented
57C2×#14519759C2212yescomplemented
58C2×#14519759C2212yescomplemented
59C2×#14519758C2212yescomplemented
60C2×#14519757C2212yescomplemented
61C2×#14519757C2211yescharacteristic, complemented
62C2×#14519756C2211yescharacteristic, complemented
63C2×#14519755C2212yescomplemented
64C2×#14519755C2212yescomplemented
65C2×#14519755C2212yescomplemented
66C2×#14519754C2212yescomplemented
67C2×#14519753C2212yescomplemented
68C2×#14519753C2211yescharacteristic, complemented
69C2×#14519752C2211yescharacteristic, complemented
70C2×#14519751C2211yescharacteristic, complemented
71C2×#14519750C2212yescomplemented
72C2×#14519750C2212yescomplemented
73C2×#14519749C2212yescomplemented
74C2×#14519749C2212yescomplemented
75C2×#14519748C2211yescharacteristic, complemented
76C2×#14519748C2212yescomplemented
77C2×#14519747C2212yes—
78C2×#14519747C2212yes—
79C2×#14519747C2212yescomplemented
80C2×#14519747C2212yescomplemented
81C2×#14519746C2212yescomplemented
82C2×#14519745C2212yes—
83C2×#14519745C2212yes—
84C2×#14519745C2212yescomplemented
85C2×#14519745C2212yescomplemented
86#120×D61C22132yescomplemented
87#16840234C22132yescomplemented
88C2×C4×D244C2212yescomplemented
89C2×C4×D244C2212yescomplemented
90C2×D4×Dic61C2212yescomplemented
91C2×#14519739C2212yescomplemented
92C2×#14519739C2212yescomplemented
93C2×C4×C22⋊D61C2212yescomplemented
94C2×C4×C22⋊D61C2212yescomplemented
95C2×C4×C22⋊D61C2212yescomplemented
96C2×#14519737C2212yescomplemented
97C2×#14519737C2212yescomplemented
98C2×#14519737C2212yescomplemented
99C2×#14519735C2212yescomplemented
100C2×#14519735C2211yescharacteristic, complemented
101C2×#14519735C2211yescharacteristic, complemented
102C2×#14519734C2212yescomplemented
103C2×#14519734C2212yescomplemented
104C22×C22⋊Dic61C2211yescharacteristic, complemented
105C22×#11758198C2211yescharacteristic
106C22×#11758198C2211yescharacteristic
107C22×#11758198C2212yescomplemented
108C2×C22⋊C4×D61C2212yes—
109C2×C22⋊C4×D61C2212yescomplemented
110C2×C22⋊C4×D61C2212yescomplemented
111C2×C22⋊C4×D61C2212yescomplemented
112C2×C22⋊C4×D61C2212yescomplemented
113C2×C22⋊C4×D61C2212yescomplemented
114C2×C22⋊C4×D61C2212yescomplemented
115C2×C22⋊C4×D61C22116yescomplemented
116C2×C22⋊C4×D61C2212yescomplemented
117C61×#538C22116yescomplemented
118C2×#126×C61C2212yescomplemented
119C2×#124×C61C2212yescomplemented
120C2×#123×C61C2212yescomplemented
121C2×C22⋊Q8×C61C2211yescharacteristic, complemented
122C2×#121×C61C2212yescomplemented
123C2×#121×C61C2211yescharacteristic, complemented
124C2×#120×C61C2212yescomplemented
125C2×C4×D4×C61C2212yescomplemented
126C22×C22⋊C4×C61C2211yescharacteristic, complemented
127C24×D61—28no—
128C24×D61—44no—
129C24×D61—44no—
130C24×D61C2311yescharacteristic
131C24×D61C2312yes—
132C24×D61C2312yes—
133C24×D61C2318yes—
134C24×D61C2312yes—
135C24×D61C2311yescharacteristic
136C2×#11758226—44no—
137C2×#11758226C2318yescomplemented
138C2×#11758222—48no—
139C2×#11758222C23116yescomplemented
140C2×#11758224—44no—
141C2×#11758224C2318yescomplemented
142C22×Dic122C2312yescomplemented
143C22×Dic122C2311yescharacteristic, complemented
144C22×D244C2312yes—
145C22×D244C2312yes—
146C22×D244C2312yes—
147C22×D244C2311yescharacteristic, complemented
148C22×C22⋊D61C2312yes—
149C22×C22⋊D61C2312yes—
150C22×C22⋊D61C2312yes—
151C22×C22⋊D61C2312yes—
152C22×C22⋊D61C2312yes—
153C22×C22⋊D61C2312yes—
154C22×C22⋊D61C2312yescomplemented
155C2×D4×D61—216no—
156C2×D4×D61—48no—
157C2×D4×D61—48no—
158C2×D4×D61C23116yes—
159C2×D4×D61C23116yescomplemented
160C2×D4×D61C23116yescomplemented
161C23×Dic61C2311yescharacteristic
162C23×Dic61C2311yescharacteristic
163C23×Dic61C2312yescomplemented
164C22×C4×D61—44no—
165C22×C4×D61—44no—
166C22×C4×D61C2312yes—
167C22×C4×D61C2312yes—
168C22×C4×D61C2311yescharacteristic
169C22×C4×D61C2311yescharacteristic
170C22×C4×D61C2312yes—
171C22×C4×D61C2312yes—
172C22×C4×D61C2311yescharacteristic
173C22×C4×D61C2312yes—
174C22×C4×D61C2311yescharacteristic
175C22×C4×D61C2318yescomplemented
176C22×C4×D61C2318yescomplemented
177C22×C4×D61C2312yescomplemented
178C22×C4×D61C2312yescomplemented
179#14519770C23116yescomplemented
180#14519770C23116yescomplemented
181#14519770C23116yescomplemented
182#14519764C23116yescomplemented
183#14519763C23116yescomplemented
184#14519763C23116yescomplemented
185#14519762C23116yescomplemented
186#14519762C23116yescomplemented
187#14519762C23116yescomplemented
188#14519759C23116yescomplemented
189#14519759C23116yescomplemented
190#14519759C23116yescomplemented
191#14519759C23116yescomplemented
192#14519759C23116yescomplemented
193#14519758C23116yescomplemented
194#14519757C2318yescomplemented
195#14519757C23116yescomplemented
196#14519756C2318yescomplemented
197#14519755C23116yescomplemented
198#14519755C23116yescomplemented
199#14519755C23116yescomplemented
200#14519754C23116yescomplemented
201#14519753C2318yescomplemented
202#14519753C23116yescomplemented
203#14519752C2318yescomplemented
204#14519751C2318yescomplemented
205#14519750C23116yescomplemented
206#14519750C23116yescomplemented
207#14519749C23116yescomplemented
208#14519749C23116yescomplemented
209#14519748C23116yescomplemented
210#14519748C2318yescomplemented
211#14519747C23116yes—
212#14519747C23116yes—
213#14519747C23116yescomplemented
214#14519747C23116yescomplemented
215#14519746C23116yescomplemented
216#14519745C23116yes—
217#14519745C23116yes—
218#14519745C23116yescomplemented
219#14519745C23116yescomplemented
220C4×D244C23116yescomplemented
221C4×D244C23116yescomplemented
222D4×Dic61C23116yescomplemented
223#14519739C23116yescomplemented
224#14519739C23116yescomplemented
225C4×C22⋊D61C23116yescomplemented
226C4×C22⋊D61C23116yescomplemented
227C4×C22⋊D61C23116yescomplemented
228#14519737C23116yescomplemented
229#14519737C23116yescomplemented
230#14519737C23116yescomplemented
231#14519735C23116yescomplemented
232#14519735C2318yescomplemented
233#14519735C2318yescomplemented
234#14519734C23116yescomplemented
235#14519734C23116yescomplemented
236C2×C4⋊Dic61C2312yescomplemented
237C2×C4⋊Dic61C2311yescharacteristic, complemented
238C2×C4⋊Dic61C2311yescharacteristic, complemented
239C2×C4⋊Dic61C2312yescomplemented
240C2×#11758196C2312yescomplemented
241C2×#11758196C2312yescomplemented
242C2×#11758196C2312yescomplemented
243C2×#11758196C2312yescomplemented
244C2×#11758196C2312yescomplemented
245C2×#11758196C2312yescomplemented
246C2×C22⋊Dic61C2312yes—
247C2×C22⋊Dic61C2312yes—
248C2×C22⋊Dic61C2312yes—
249C2×C22⋊Dic61C2312yes—
250C2×C22⋊Dic61C2312yes—
251C2×C22⋊Dic61C2318yescomplemented
252C2×C22⋊Dic61C2312yescomplemented
253C2×C22⋊Dic61C2312yescomplemented
254C2×#11758198C2312yes—
255C2×#11758198C2312yes—
256C2×#11758198C2312yes—
257C2×#11758198C2312yes—
258C2×#11758198C2318yes—
259C2×#11758198C2312yes—
260C2×#11758198C2312yes—
261C2×#11758198C2318yes—
262C2×#11758198C2312yes—
263C2×#11758198C2312yes—
264C2×#11758198C2312yes—
265C2×#11758198C2312yes—
266C2×#11758198C23116yescomplemented
267C2×#11758198C2312yescomplemented
268C2×#11758198C2312yescomplemented
269C2×#11758198C2312yescomplemented
270C2×#11758198C2312yescomplemented
271C22⋊C4×D61C23116yes—
272C22⋊C4×D61C23116yescomplemented
273C22⋊C4×D61C23116yescomplemented
274C22⋊C4×D61C23116yescomplemented
275C22⋊C4×D61C23116yescomplemented
276C22⋊C4×D61C23116yescomplemented
277C22⋊C4×D61C23116yescomplemented
278C22⋊C4×D61C23116yescomplemented
279C2×C4×Dic61C2312yescomplemented
280C2×C4×Dic61C2312yescomplemented
281C2×C4×Dic61C2312yescomplemented
282C25×C61C2311yescharacteristic
283C22×Q8×C61C2311yescharacteristic, complemented
284C22×D4×C61C2312yes—
285C22×D4×C61C2312yes—
286C22×D4×C61C2312yes—
287C22×D4×C61C2311yescharacteristic, complemented
288C23×C4×C61C2311yescharacteristic
289C23×C4×C61C2311yescharacteristic
290C23×C4×C61C2312yescomplemented
291#126×C61C23116yescomplemented
292#124×C61C23116yescomplemented
293#123×C61C23116yescomplemented
294C22⋊Q8×C61C2318yescomplemented
295#121×C61C23116yescomplemented
296#121×C61C2318yescomplemented
297#120×C61C23116yescomplemented
298C4×D4×C61C23116yescomplemented
299C2×C4⋊C4×C61C2312yescomplemented
300C2×C4⋊C4×C61C2311yescharacteristic, complemented
301C2×C4⋊C4×C61C2311yescharacteristic, complemented
302C2×C4⋊C4×C61C2312yescomplemented
303C2×C22⋊C4×C61C2312yes—
304C2×C22⋊C4×C61C2312yes—
305C2×C22⋊C4×C61C2312yes—
306C2×C22⋊C4×C61C2312yes—
307C2×C22⋊C4×C61C2312yes—
308C2×C22⋊C4×C61C2318yescomplemented
309C2×C22⋊C4×C61C2312yescomplemented
310C2×C22⋊C4×C61C2312yescomplemented
311C2×C42×C61C2312yescomplemented
312C24×C61—24no—
313C24×C61—42no—
314C24×C61—42no—
315C24×C61C2412yes—
316C24×C61C2412yes—
317C24×C61C2411yescharacteristic
318C24×C61C2414yes—
319C23×D61—24no—
320C23×D61—24no—
321C23×D61—24no—
322C23×D61—28no—
323C23×D61—28no—
324C23×D61—232no—
325C23×D61—28no—
326C23×D61—28no—
327C23×D61—28no—
328C23×D61—416no—
329C23×D61—416no—
330C23×D61—44no—
331C23×D61—44no—
332C23×D61—42no—
333C23×D61—42no—
334C23×D61—44no—
335C23×D61—44no—
336C23×D61—464no—
337C23×D61#4118yescomplemented
338C23×D61C2414yes—
339C23×D61C2412yes—
340C23×D61C2418yes—
341C23×D61C2418yes—
342C23×D61C2412yes—
343C23×D61C2411yescharacteristic
344C23×D61C2411yescharacteristic
345C23×D61C2418yes—
346C23×D61C2414yes—
347C2×Q8×C61—42no—
348C2×Q8×C61C2414yescomplemented
349C2×D4×C61—28no—
350C2×D4×C61—44no—
351C2×D4×C61—44no—
352C2×D4×C61—42no—
353C2×D4×C61C2418yes—
354C2×D4×C61C2418yes—
355C2×D4×C61C2418yes—
356C2×D4×C61C2414yescomplemented
357C22×C4×C61—42no—
358C22×C4×C61—42no—
359C22×C4×C61—44no—
360C22×C4×C61C2412yes—
361C22×C4×C61C2411yescharacteristic
362C22×C4×C61C2411yescharacteristic
363C22×C4×C61C2412yes—
364C22×C4×C61C2412yes—
365C22×C4×C61C2412yes—
366C22×C4×C61C2414yes—
367C22×C4×C61C2414yes—
368C22×C4×C61C2418yescomplemented
369C2×C22⋊D61—28no—
370C2×C22⋊D61—28no—
371C2×C22⋊D61—28no—
372C2×C22⋊D61—28no—
373C2×C22⋊D61—44no—
374C2×C22⋊D61—44no—
375C2×C22⋊D61—44no—
376C2×C22⋊D61C2418yes—
377C2×C22⋊D61C2418yes—
378C2×C22⋊D61C2418yes—
379C2×C22⋊D61C2418yes—
380C2×C22⋊D61C2418yes—
381C2×C22⋊D61C2418yes—
382C2×C22⋊D61C2418yescomplemented
383C22×Dic61—42no—
384C22×Dic61—42no—
385C22×Dic61—44no—
386C22×Dic61C2411yescharacteristic
387C22×Dic61C2411yescharacteristic
388C22×Dic61C2412yes—
389C22×Dic61C2412yes—
390C22×Dic61C2412yes—
391C22×Dic61C2412yes—
392C22×Dic61C2414yes—
393C22×Dic61C2414yes—
394C22×Dic61C2418yescomplemented
395#11758226—416no—
396#11758224—416no—
397D4×D61—264no—
398D4×D61—432no—
399D4×D61—432no—
400#11758222—432no—
401C2×D244—28no—
402C2×D244—28no—
403C2×D244—28no—
404C2×D244—42no—
405C2×D244C2418yes—
406C2×D244C2418yes—
407C2×D244C2418yes—
408C2×D244C2414yescomplemented
409C2×C4×D61—28no—
410C2×C4×D61—24no—
411C2×C4×D61—28no—
412C2×C4×D61—24no—
413C2×C4×D61—416no—
414C2×C4×D61—416no—
415C2×C4×D61—44no—
416C2×C4×D61—42no—
417C2×C4×D61—42no—
418C2×C4×D61—44no—
419C2×C4×D61—44no—
420C2×C4×D61—44no—
421C2×C4×D61—44no—
422C2×C4×D61C2414yes—
423C2×C4×D61C2418yes—
424C2×C4×D61C2414yes—
425C2×C4×D61C2418yes—
426C2×C4×D61C2414yes—
427C2×C4×D61C2418yes—
428C2×C4×D61C2414yes—
429C2×C4×D61C2418yes—
430C2×C4×D61C2418yes—
431C2×C4×D61C2418yescomplemented
432C2×C4×D61C2418yescomplemented
433C2×Dic122—42no—
434C2×Dic122—44no—
435C2×Dic122C2414yescomplemented
436C2×Dic122C2418yescomplemented
437C4⋊C4×C61C2418yescomplemented
438C4⋊C4×C61C2418yescomplemented
439C4⋊C4×C61C2414yescomplemented
440C4⋊C4×C61C2414yescomplemented
441C22⋊C4×C61C2418yes—
442C22⋊C4×C61C2418yes—
443C22⋊C4×C61C2418yes—
444C22⋊C4×C61C2418yes—
445C22⋊C4×C61C2418yes—
446C22⋊C4×C61C2418yescomplemented
447C22⋊C4×C61C2418yescomplemented
448C42×C61C2418yescomplemented
449C22⋊Dic61C2418yes—
450C22⋊Dic61C2418yes—
451C22⋊Dic61C2418yes—
452C22⋊Dic61C2418yes—
453C22⋊Dic61C2418yes—
454C22⋊Dic61C2418yescomplemented
455C22⋊Dic61C2418yescomplemented
456#11758198C2418yes—
457#11758198C2418yes—
458#11758198C2418yes—
459#11758198C2418yes—
460#11758198C2418yes—
461#11758198C2418yes—
462#11758198C2418yes—
463#11758198C2418yes—
464#11758198C2418yes—
465#11758198C2418yes—
466#11758198C2418yescomplemented
467#11758198C2418yescomplemented
468#11758198C2418yescomplemented
469#11758198C2418yescomplemented
470C4⋊Dic61C2418yescomplemented
471C4⋊Dic61C2414yescomplemented
472C4⋊Dic61C2414yescomplemented
473C4⋊Dic61C2418yescomplemented
474#11758196C2418yescomplemented
475#11758196C2418yescomplemented
476#11758196C2418yescomplemented
477#11758196C2418yescomplemented
478#11758196C2418yescomplemented
479#11758196C2418yescomplemented
480C4×Dic61C2418yescomplemented
481C4×Dic61C2418yescomplemented
482C4×Dic61C2418yescomplemented
483C23×C61—22no—
484C23×C61—22no—
485C23×C61—24no—
486C23×C61—28no—
487C23×C61—24no—
488C23×C61—24no—
489C23×C61—24no—
490C23×C61—24no—
491C23×C61—24no—
492C23×C61—44no—
493C23×C61—44no—
494C23×C61—416no—
495C23×C61C2×#4114yes—
496C23×C61C2514yes—
497C23×C61C2514yes—
498C23×C61C2512yes—
499C23×C61C2511yescharacteristic
500C22×D61—232no—
501C22×D61—28no—
502C22×D61—22no—
503C22×D61—22no—
504C22×D61—22no—
505C22×D61—22no—
506C22×D61—24no—
507C22×D61—24no—
508C22×D61—28no—
509C22×D61—28no—
510C22×D61—24no—
511C22×D61—24no—
512C22×D61—24no—
513C22×D61—216no—
514C22×D61—216no—
515C22×D61—216no—
516C22×D61—216no—
517C22×D61—216no—
518C22×D61—416no—
519C22×D61—48no—
520C22×D61—48no—
521C22×D61—44no—
522C22×D61—44no—
523C22×D61—432no—
524C22×D61—432no—
525C22×D61—48no—
526C22×D61—48no—
527C22×D61—4128no—
528C22×D61—816no—
529C22×D61C2×#4118yes—
530C22×D61C2×#41116yescomplemented
531C22×D61H(5,𝔽2)14yes—
532C22×D61H(5,𝔽2)14yes—
533C22×D61C2514yes—
534C22×D61C2514yes—
535C22×D61C2512yes—
536C22×D61C2512yes—
537Q8×C61—44no—
538D4×C61—216no—
539D4×C61—48no—
540D4×C61—48no—
541D4×C61—44no—
542C2×C4×C61—24no—
543C2×C4×C61—22no—
544C2×C4×C61—24no—
545C2×C4×C61—24no—
546C2×C4×C61—22no—
547C2×C4×C61—24no—
548C2×C4×C61—44no—
549C2×C4×C61—44no—
550C2×C4×C61—48no—
551C2×C4×C61C2514yes—
552C2×C4×C61C2514yes—
553C2×C4×C61C2514yes—
554C2×C4×C61C2514yes—
555C2×C4×C61C2512yes—
556C2×C4×C61C2512yes—
557C22⋊D61—216no—
558C22⋊D61—216no—
559C22⋊D61—216no—
560C22⋊D61—216no—
561C22⋊D61—48no—
562C22⋊D61—48no—
563C22⋊D61—48no—
564C2×Dic61—24no—
565C2×Dic61—24no—
566C2×Dic61—24no—
567C2×Dic61—24no—
568C2×Dic61—22no—
569C2×Dic61—22no—
570C2×Dic61—44no—
571C2×Dic61—44no—
572C2×Dic61—48no—
573C2×Dic61C2514yes—
574C2×Dic61C2512yes—
575C2×Dic61C2512yes—
576C2×Dic61C2514yes—
577C2×Dic61C2514yes—
578C2×Dic61C2514yes—
579D244—216no—
580D244—216no—
581D244—216no—
582D244—44no—
583C4×D61—216no—
584C4×D61—216no—
585C4×D61—28no—
586C4×D61—28no—
587C4×D61—48no—
588C4×D61—44no—
589C4×D61—44no—
590C4×D61—48no—
591C4×D61—48no—
592C4×D61—48no—
593C4×D61—48no—
594Dic122—48no—
595Dic122—44no—
596C2×#3490—611nomaximal, Sylow
597C22×C61—22no—
598C22×C61—22no—
599C22×C61—28no—
600C22×C61—24no—
601C22×C61—24no—
602C22×C61—24no—
603C22×C61—24no—
604C22×C61—24no—
605C22×C61—24no—
606C22×C61—416no—
607C22×C61—48no—
608C22×C61—48no—
609C22×C61C22×#4114yes—
610C22×C61C22×#4112yes—
611C22×C61C2×H(5,𝔽2)12yes—
612C22×C61C2×H(5,𝔽2)12yes—
613C22×C61C2611yescharacteristic
614C2×D61—232no—
615C2×D61—22no—
616C2×D61—22no—
617C2×D61—22no—
618C2×D61—22no—
619C2×D61—24no—
620C2×D61—24no—
621C2×D61—28no—
622C2×D61—28no—
623C2×D61—216no—
624C2×D61—24no—
625C2×D61—24no—
626C2×D61—24no—
627C2×D61—416no—
628C2×D61—432no—
629C2×D61—432no—
630C2×D61—48no—
631C2×D61—816no—
632C2×D61C22×#4118yes—
633C2×D61C2×H(5,𝔽2)14yes—
634C2×D61C2×H(5,𝔽2)14yes—
635C4×C61—24no—
636C4×C61—22no—
637C4×C61—24no—
638C4×C61—24no—
639C4×C61—22no—
640C4×C61—24no—
641Dic61—24no—
642Dic61—24no—
643Dic61—24no—
644Dic61—24no—
645Dic61—22no—
646Dic61—22no—
647#3490—6132no—
648C2×#551—612no—
649C2×#551—612no—
650C2×#551—612no—
651C2×#551—612no—
652C2×#546—612no—
653C2×#546—612no—
654C2×#546—612no—
655C2×#546—612no—
656C2×#543—611no—
657C2×#538—612no—
658C2×#538—611no—
659C2×#538D6111yescharacteristic, complemented
660C2×#534—611no—
661C2×#525—611no—
662C2×#525—611no—
663C2×#525—612no—
664C22×#120—612no—
665C2×#518—612no—
666C23×C22⋊C4—611no—
667C2×C61—24no—
668C2×C61—44no—
669C2×C61—44no—
670C2×C61#349014yescomplemented
671C2×C61C23×#4111yescharacteristic
672C2×C61C22×H(5,𝔽2)11yescharacteristic
673C2×C61C22×H(5,𝔽2)11yescharacteristic
674D61—24no—
675D61—24no—
676D61—28no—
677D61—44no—
678C26—611no—
679C22×#41—611no—
680C22×#41—611no—
681C22×#41—612no—
682C23×D4—612no—
683C23×D4—612no—
684C23×D4—612no—
685C24×C4—611no—
686C24×C4—611no—
687#551—6132no—
688#551—6132no—
689#551—6132no—
690#551—6132no—
691#546—6132no—
692#546—6132no—
693#546—6132no—
694#546—6132no—
695#543—6116no—
696#538—6132no—
697#538—6116no—
698#538C2×D61116yescomplemented
699#534—6116no—
700C2×#126—612no—
701C2×#126—612no—
702C2×#126—612no—
703C2×#126C2×D6112yescomplemented
704C2×#124—612no—
705C2×#124—612no—
706C2×#124—612no—
707C2×#124C2×D6112yescomplemented
708#525—6116no—
709#525—6116no—
710#525—6132no—
711C2×#123—612no—
712C2×#123—612no—
713C2×#123—612no—
714C2×#123—612no—
715C2×#123—612no—
716C2×#123—612no—
717C2×#123—612no—
718C2×#123—612no—
719C2×#123—612no—
720C2×#123C2×D6112yescomplemented
721C2×C22⋊Q8—611no—
722C2×C22⋊Q8—612no—
723C2×C22⋊Q8—611no—
724C2×C22⋊Q8—612no—
725C2×C22⋊Q8—612no—
726C2×C22⋊Q8—612no—
727C2×C22⋊Q8—611no—
728C2×C22⋊Q8—612no—
729C2×C22⋊Q8—612no—
730C2×C22⋊Q8C2×D6111yescharacteristic, complemented
731C2×#121—612no—
732C2×#121—612no—
733C2×#121—612no—
734C2×#121—611no—
735C2×#121—611no—
736C2×#121—611no—
737C2×#121—612no—
738C2×#121—612no—
739C2×#121C2×D6112yescomplemented
740C2×#121C2×D6111yescharacteristic, complemented
741C2×#120—612no—
742C2×#120—612no—
743C2×#120—612no—
744C2×#120—612no—
745C2×#120—612no—
746C2×#120—6132no—
747C2×#120—612no—
748C2×#120—612no—
749C2×#120—612no—
750C2×#120—612no—
751C2×#120C2×D6112yescomplemented
752#518—6132no—
753C2×C4×D4—612no—
754C2×C4×D4—612no—
755C2×C4×D4—612no—
756C2×C4×D4—612no—
757C2×C4×D4—612no—
758C2×C4×D4—612no—
759C2×C4×D4—612no—
760C2×C4×D4—612no—
761C2×C4×D4—612no—
762C2×C4×D4—612no—
763C2×C4×D4—612no—
764C2×C4×D4C2×D6112yescomplemented
765C2×#117—612no—
766C2×#117—611no—
767C2×#117—611no—
768C2×#117—612no—
769C2×#117—612no—
770C22×C22⋊C4—611no—
771C22×C22⋊C4—611no—
772C22×C22⋊C4—611no—
773C22×C22⋊C4—612no—
774C22×C22⋊C4—612no—
775C22×C22⋊C4—612no—
776C22×C22⋊C4—612no—
777C22×C22⋊C4—612no—
778C22×C22⋊C4—612no—
779C22×C22⋊C4—612no—
780C22×C22⋊C4—612no—
781C22×C22⋊C4—6116no—
782C22×C22⋊C4—612no—
783C22×C22⋊C4C2×D6111yescharacteristic, complemented
784C61C2×#349011yescharacteristic, complemented, Sylow
785C25—611no—
786C25—611no—
787C25—612no—
788C25—612no—
789C25—618no—
790C25—612no—
791C25—1228no—
792C25—2444no—
793C25—2444no—
794C25C22×D6111yescharacteristic
795C2×#41—618no—
796C2×#41—618no—
797C2×#41—6116no—
798C2×#41—2448no—
799C2×#41—2444no—
800C2×#41—2444no—
801C22×Q8—611no—
802C22×Q8—612no—
803C22×Q8C22×D6111yescharacteristic, complemented
804C22×D4—612no—
805C22×D4—612no—
806C22×D4—612no—
807C22×D4—612no—
808C22×D4—612no—
809C22×D4—612no—
810C22×D4—612no—
811C22×D4—6116no—
812C22×D4—6116no—
813C22×D4—6116no—
814C22×D4—612no—
815C22×D4—612no—
816C22×D4—612no—
817C22×D4—611no—
818C22×D4—12216no—
819C22×D4—2448no—
820C22×D4—2448no—
821C22×D4C22×D6112yes—
822C22×D4C22×D6112yes—
823C22×D4C22×D6112yes—
824C22×D4C22×D6111yescharacteristic, complemented
825C23×C4—611no—
826C23×C4—611no—
827C23×C4—612no—
828C23×C4—612no—
829C23×C4—611no—
830C23×C4—611no—
831C23×C4—612no—
832C23×C4—611no—
833C23×C4—611no—
834C23×C4—612no—
835C23×C4—612no—
836C23×C4—612no—
837C23×C4—618no—
838C23×C4—618no—
839C23×C4—612no—
840C23×C4—612no—
841C23×C4—2444no—
842C23×C4—2444no—
843C23×C4C22×D6111yescharacteristic
844C23×C4C22×D6111yescharacteristic
845C23×C4C22×D6112yescomplemented
846#126—6116no—
847#126—6116no—
848#126—6116no—
849#126C22×D61116yescomplemented
850#124—6116no—
851#124—6116no—
852#124—6116no—
853#124C22×D61116yescomplemented
854#123—6116no—
855#123—6116no—
856#123—6116no—
857#123—6116no—
858#123—6116no—
859#123—6116no—
860#123—6116no—
861#123—6116no—
862#123—6116no—
863#123C22×D61116yescomplemented
864C22⋊Q8—618no—
865C22⋊Q8—6116no—
866C22⋊Q8—618no—
867C22⋊Q8—6116no—
868C22⋊Q8—618no—
869C22⋊Q8—6116no—
870C22⋊Q8—6116no—
871C22⋊Q8—6116no—
872C22⋊Q8—6116no—
873C22⋊Q8C22×D6118yescomplemented
874#121—6116no—
875#121—6116no—
876#121—6116no—
877#121—618no—
878#121—618no—
879#121—618no—
880#121—6116no—
881#121—6116no—
882#121C22×D61116yescomplemented
883#121C22×D6118yescomplemented
884#120—6116no—
885#120—6116no—
886#120—6116no—
887#120—6116no—
888#120—6116no—
889#120—6116no—
890#120—6116no—
891#120—6116no—
892#120—6116no—
893#120C22×D61116yescomplemented
894C4×D4—6116no—
895C4×D4—6116no—
896C4×D4—6116no—
897C4×D4—6116no—
898C4×D4—6116no—
899C4×D4—6116no—
900C4×D4—6116no—
901C4×D4—6116no—
902C4×D4—6116no—
903C4×D4—6116no—
904C4×D4—6116no—
905C4×D4C22×D61116yescomplemented
906#117—6116no—
907#117—618no—
908#117—618no—
909#117—6116no—
910#117—6116no—
911C2×C4⋊C4—612no—
912C2×C4⋊C4—612no—
913C2×C4⋊C4—612no—
914C2×C4⋊C4—612no—
915C2×C4⋊C4—611no—
916C2×C4⋊C4—612no—
917C2×C4⋊C4—611no—
918C2×C4⋊C4—612no—
919C2×C4⋊C4—612no—
920C2×C4⋊C4—612no—
921C2×C4⋊C4C22×D6112yescomplemented
922C2×C4⋊C4C22×D6111yescharacteristic, complemented
923C2×C4⋊C4C22×D6111yescharacteristic, complemented
924C2×C4⋊C4C22×D6112yescomplemented
925C2×C22⋊C4—612no—
926C2×C22⋊C4—612no—
927C2×C22⋊C4—618no—
928C2×C22⋊C4—612no—
929C2×C22⋊C4—612no—
930C2×C22⋊C4—612no—
931C2×C22⋊C4—612no—
932C2×C22⋊C4—612no—
933C2×C22⋊C4—612no—
934C2×C22⋊C4—612no—
935C2×C22⋊C4—618no—
936C2×C22⋊C4—612no—
937C2×C22⋊C4—612no—
938C2×C22⋊C4—618no—
939C2×C22⋊C4—612no—
940C2×C22⋊C4—612no—
941C2×C22⋊C4—612no—
942C2×C22⋊C4—612no—
943C2×C22⋊C4—612no—
944C2×C22⋊C4—612no—
945C2×C22⋊C4—612no—
946C2×C22⋊C4—612no—
947C2×C22⋊C4—612no—
948C2×C22⋊C4—612no—
949C2×C22⋊C4—6116no—
950C2×C22⋊C4—6116no—
951C2×C22⋊C4—6116no—
952C2×C22⋊C4—6116no—
953C2×C22⋊C4—6116no—
954C2×C22⋊C4—6116no—
955C2×C22⋊C4—6116no—
956C2×C22⋊C4—6116no—
957C2×C22⋊C4—6116no—
958C2×C22⋊C4C22×D6112yes—
959C2×C22⋊C4C22×D6112yes—
960C2×C22⋊C4C22×D6112yes—
961C2×C22⋊C4C22×D6112yes—
962C2×C22⋊C4C22×D6112yes—
963C2×C22⋊C4C22×D6118yescomplemented
964C2×C22⋊C4C22×D6112yescomplemented
965C2×C22⋊C4C22×D6112yescomplemented
966C2×C42—612no—
967C2×C42—612no—
968C2×C42—612no—
969C2×C42C22×D6112yescomplemented
970C24—24no—
971C24—42no—
972C24—42no—
973C24—612no—
974C24—611no—
975C24—611no—
976C24—618no—
977C24—614no—
978C24—614no—
979C24—612no—
980C24—618no—
981C24—618no—
982C24—618no—
983C24—1224no—
984C24—1224no—
985C24—1228no—
986C24—1228no—
987C24—1228no—
988C24—1228no—
989C24—1228no—
990C24—12232no—
991C24—1224no—
992C24—2444no—
993C24—2444no—
994C24—2442no—
995C24—2442no—
996C24—2444no—
997C24—2444no—
998C24—24416no—
999C24—24416no—
1000C24—24464no—
1001C24C23×D6112yes—
1002C24C23×D6112yes—
1003C24C23×D6111yescharacteristic
1004C24C23×D6114yes—
1005#41—24432no—
1006#41—24416no—
1007#41—24416no—
1008C2×Q8—42no—
1009C2×Q8—614no—
1010C2×Q8—618no—
1011C2×Q8—2442no—
1012C2×Q8—2444no—
1013C2×Q8C23×D6114yescomplemented
1014C2×D4—28no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—42no—
1018C2×D4—618no—
1019C2×D4—618no—
1020C2×D4—618no—
1021C2×D4—618no—
1022C2×D4—618no—
1023C2×D4—618no—
1024C2×D4—618no—
1025C2×D4—618no—
1026C2×D4—618no—
1027C2×D4—618no—
1028C2×D4—614no—
1029C2×D4—1228no—
1030C2×D4—1228no—
1031C2×D4—1228no—
1032C2×D4—12264no—
1033C2×D4—1228no—
1034C2×D4—1228no—
1035C2×D4—1228no—
1036C2×D4—1228no—
1037C2×D4—2442no—
1038C2×D4—2444no—
1039C2×D4—2444no—
1040C2×D4—2444no—
1041C2×D4—24432no—
1042C2×D4—24432no—
1043C2×D4C23×D6118yes—
1044C2×D4C23×D6118yes—
1045C2×D4C23×D6118yes—
1046C2×D4C23×D6114yescomplemented
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—44no—
1050C22×C4—612no—
1051C22×C4—611no—
1052C22×C4—611no—
1053C22×C4—612no—
1054C22×C4—612no—
1055C22×C4—612no—
1056C22×C4—614no—
1057C22×C4—614no—
1058C22×C4—618no—
1059C22×C4—618no—
1060C22×C4—614no—
1061C22×C4—614no—
1062C22×C4—618no—
1063C22×C4—614no—
1064C22×C4—614no—
1065C22×C4—618no—
1066C22×C4—618no—
1067C22×C4—618no—
1068C22×C4—618no—
1069C22×C4—618no—
1070C22×C4—1228no—
1071C22×C4—1224no—
1072C22×C4—1224no—
1073C22×C4—1228no—
1074C22×C4—2444no—
1075C22×C4—2442no—
1076C22×C4—2442no—
1077C22×C4—2444no—
1078C22×C4—2444no—
1079C22×C4—2444no—
1080C22×C4—2444no—
1081C22×C4—24416no—
1082C22×C4—24416no—
1083C22×C4—2442no—
1084C22×C4—2442no—
1085C22×C4—2444no—
1086C22×C4C23×D6112yes—
1087C22×C4C23×D6112yes—
1088C22×C4C23×D6112yes—
1089C22×C4C23×D6112yes—
1090C22×C4C23×D6111yescharacteristic
1091C22×C4C23×D6111yescharacteristic
1092C22×C4C23×D6114yes—
1093C22×C4C23×D6114yes—
1094C22×C4C23×D6118yescomplemented
1095C4⋊C4—618no—
1096C4⋊C4—618no—
1097C4⋊C4—618no—
1098C4⋊C4—618no—
1099C4⋊C4—618no—
1100C4⋊C4—618no—
1101C4⋊C4—618no—
1102C4⋊C4—614no—
1103C4⋊C4—614no—
1104C4⋊C4—618no—
1105C4⋊C4C23×D6118yescomplemented
1106C4⋊C4C23×D6114yescomplemented
1107C4⋊C4C23×D6114yescomplemented
1108C4⋊C4C23×D6118yescomplemented
1109C22⋊C4—618no—
1110C22⋊C4—618no—
1111C22⋊C4—618no—
1112C22⋊C4—618no—
1113C22⋊C4—618no—
1114C22⋊C4—618no—
1115C22⋊C4—618no—
1116C22⋊C4—618no—
1117C22⋊C4—618no—
1118C22⋊C4—618no—
1119C22⋊C4—618no—
1120C22⋊C4—618no—
1121C22⋊C4—618no—
1122C22⋊C4—618no—
1123C22⋊C4—618no—
1124C22⋊C4—618no—
1125C22⋊C4—618no—
1126C22⋊C4—618no—
1127C22⋊C4—618no—
1128C22⋊C4—618no—
1129C22⋊C4—618no—
1130C22⋊C4C23×D6118yes—
1131C22⋊C4C23×D6118yes—
1132C22⋊C4C23×D6118yes—
1133C22⋊C4C23×D6118yes—
1134C22⋊C4C23×D6118yes—
1135C22⋊C4C23×D6118yescomplemented
1136C22⋊C4C23×D6118yescomplemented
1137C42—618no—
1138C42—618no—
1139C42—618no—
1140C42C23×D6118yescomplemented
1141C23—22no—
1142C23—22no—
1143C23—24no—
1144C23—28no—
1145C23—24no—
1146C23—24no—
1147C23—24no—
1148C23—24no—
1149C23—24no—
1150C23—44no—
1151C23—44no—
1152C23—416no—
1153C23—618no—
1154C23—614no—
1155C23—614no—
1156C23—614no—
1157C23—612no—
1158C23—612no—
1159C23—6116no—
1160C23—614no—
1161C23—1228no—
1162C23—1228no—
1163C23—12216no—
1164C23—12216no—
1165C23—12216no—
1166C23—12216no—
1167C23—12216no—
1168C23—12232no—
1169C23—1228no—
1170C23—1222no—
1171C23—1222no—
1172C23—1222no—
1173C23—1222no—
1174C23—1224no—
1175C23—1224no—
1176C23—1224no—
1177C23—1224no—
1178C23—1224no—
1179C23—48816no—
1180C23—2448no—
1181C23—2448no—
1182C23—24416no—
1183C23—2444no—
1184C23—2444no—
1185C23—2448no—
1186C23—2448no—
1187C23—24432no—
1188C23—24432no—
1189C23—244128no—
1190C23#41×D6114yes—
1191C23C24×D6114yes—
1192C23C24×D6114yes—
1193C23C24×D6112yes—
1194C23C24×D6111yescharacteristic
1195Q8—44no—
1196Q8—2444no—
1197Q8—2448no—
1198D4—216no—
1199D4—48no—
1200D4—48no—
1201D4—44no—
1202D4—12216no—
1203D4—12216no—
1204D4—12216no—
1205D4—12216no—
1206D4—12216no—
1207D4—12216no—
1208D4—12216no—
1209D4—2444no—
1210D4—2448no—
1211D4—2448no—
1212D4—2448no—
1213C2×C4—24no—
1214C2×C4—24no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—24no—
1218C2×C4—24no—
1219C2×C4—44no—
1220C2×C4—44no—
1221C2×C4—48no—
1222C2×C4—614no—
1223C2×C4—612no—
1224C2×C4—612no—
1225C2×C4—614no—
1226C2×C4—614no—
1227C2×C4—614no—
1228C2×C4—12216no—
1229C2×C4—1228no—
1230C2×C4—1228no—
1231C2×C4—12216no—
1232C2×C4—1224no—
1233C2×C4—1222no—
1234C2×C4—1222no—
1235C2×C4—1224no—
1236C2×C4—1224no—
1237C2×C4—1224no—
1238C2×C4—2448no—
1239C2×C4—2444no—
1240C2×C4—2444no—
1241C2×C4—2448no—
1242C2×C4—2448no—
1243C2×C4—2448no—
1244C2×C4—2448no—
1245C2×C4—2444no—
1246C2×C4—2444no—
1247C2×C4—2448no—
1248C2×C4C24×D6114yes—
1249C2×C4C24×D6114yes—
1250C2×C4C24×D6114yes—
1251C2×C4C24×D6114yes—
1252C2×C4C24×D6112yes—
1253C2×C4C24×D6112yes—
1254C22—28no—
1255C22—22no—
1256C22—22no—
1257C22—24no—
1258C22—24no—
1259C22—24no—
1260C22—24no—
1261C22—24no—
1262C22—24no—
1263C22—416no—
1264C22—48no—
1265C22—48no—
1266C22—618no—
1267C22—614no—
1268C22—614no—
1269C22—12232no—
1270C22—1228no—
1271C22—1228no—
1272C22—12216no—
1273C22—1222no—
1274C22—1222no—
1275C22—1222no—
1276C22—1222no—
1277C22—1224no—
1278C22—1224no—
1279C22—1224no—
1280C22—1224no—
1281C22—1224no—
1282C22—48816no—
1283C22—24416no—
1284C22—24432no—
1285C22—24432no—
1286C22—2448no—
1287C22C2×#41×D6114yes—
1288C22C2×#41×D6112yes—
1289C22H(5,𝔽2)×D6112yes—
1290C22H(5,𝔽2)×D6112yes—
1291C22C25×D6111yescharacteristic
1292C4—24no—
1293C4—24no—
1294C4—22no—
1295C4—22no—
1296C4—24no—
1297C4—24no—
1298C4—1224no—
1299C4—1222no—
1300C4—1222no—
1301C4—1224no—
1302C4—1224no—
1303C4—1224no—
1304C2—24no—
1305C2—44no—
1306C2—44no—
1307C2—1224no—
1308C2—1224no—
1309C2—1228no—
1310C2—2444no—
1311C2#2145950514yesdirect product factor
1312C2C22×#41×D6111yescharacteristic
1313C2C2×H(5,𝔽2)×D6111yescharacteristic
1314C2C2×H(5,𝔽2)×D6111yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#538C2
socleC23×C61C25
hypercenterC2×#538D61
hypocenterC61C2×#3490
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #21459505C2direct (N × H)
2. C2×#16840442C2semidirect
3. C2×#16840440C2semidirect
4. C2×#16840437C2semidirect
5. C2×#16840437C2semidirect
6. C2×#16840409C2semidirect
7. C2×#16840405C2semidirect
8. C2×#16840404C2semidirect
9. C2×#16840401C2semidirect
10. C2×#16840387C2semidirect
11. C2×#16840350C2semidirect
12. C2×#16840347C2semidirect
13. C2×#16840320C2semidirect
14. C2×#16840275C2semidirect
15. C2×#16840272C2semidirect
16. C2×#16840271C2semidirect
17. C2×#120×D61C2semidirect
18. C2×#16840234C2semidirect
19. C22×C22⋊C4×D61C2semidirect
20. C2×C61×#538C2semidirect
22. C22×#11758226C22semidirect
23. C22×#11758222C22semidirect
24. C22×#11758224C22semidirect
26. C22×D4×D61C22semidirect
27. C22×D4×D61C22semidirect
28. C23×C4×D61C22semidirect
29. C23×C4×D61C22semidirect
30. #16840442C22semidirect
31. #16840440C22semidirect
32. #16840437C22semidirect
33. #16840437C22semidirect
34. #16840409C22semidirect
35. #16840405C22semidirect
36. #16840404C22semidirect
37. #16840401C22semidirect
38. #16840387C22semidirect
39. #16840350C22semidirect
40. #16840347C22semidirect
41. #16840320C22semidirect
42. C2×#14519770C22semidirect
43. C2×#14519770C22semidirect
44. C2×#14519770C22semidirect
45. C2×#14519764C22semidirect
46. C2×#14519763C22semidirect
47. C2×#14519763C22semidirect
48. #16840275C22semidirect
49. #16840272C22semidirect
50. #16840271C22semidirect
51. C2×#14519762C22semidirect
52. C2×#14519762C22semidirect
53. C2×#14519762C22semidirect
54. C2×#14519759C22semidirect
55. C2×#14519759C22semidirect
56. C2×#14519759C22semidirect
57. C2×#14519759C22semidirect
58. C2×#14519759C22semidirect
59. C2×#14519758C22semidirect
60. C2×#14519757C22semidirect
61. C2×#14519757C22semidirect
62. C2×#14519756C22semidirect
63. C2×#14519755C22semidirect
64. C2×#14519755C22semidirect
65. C2×#14519755C22semidirect
66. C2×#14519754C22semidirect
67. C2×#14519753C22semidirect
68. C2×#14519753C22semidirect
69. C2×#14519752C22semidirect
70. C2×#14519751C22semidirect
71. C2×#14519750C22semidirect
72. C2×#14519750C22semidirect
73. C2×#14519749C22semidirect
74. C2×#14519749C22semidirect
75. C2×#14519748C22semidirect
76. C2×#14519748C22semidirect
79. C2×#14519747C22semidirect
80. C2×#14519747C22semidirect
81. C2×#14519746C22semidirect
84. C2×#14519745C22semidirect
85. C2×#14519745C22semidirect
86. #120×D61C22semidirect
87. #16840234C22semidirect
88. C2×C4×D244C22semidirect
89. C2×C4×D244C22semidirect
90. C2×D4×Dic61C22semidirect
91. C2×#14519739C22semidirect
92. C2×#14519739C22semidirect
93. C2×C4×C22⋊D61C22semidirect
94. C2×C4×C22⋊D61C22semidirect
95. C2×C4×C22⋊D61C22semidirect
96. C2×#14519737C22semidirect
97. C2×#14519737C22semidirect
98. C2×#14519737C22semidirect
99. C2×#14519735C22semidirect
100. C2×#14519735C22semidirect
101. C2×#14519735C22semidirect
102. C2×#14519734C22semidirect
103. C2×#14519734C22semidirect
104. C22×C22⋊Dic61C22semidirect
107. C22×#11758198C22semidirect
109. C2×C22⋊C4×D61C22semidirect
110. C2×C22⋊C4×D61C22semidirect
111. C2×C22⋊C4×D61C22semidirect
112. C2×C22⋊C4×D61C22semidirect
113. C2×C22⋊C4×D61C22semidirect
114. C2×C22⋊C4×D61C22semidirect
115. C2×C22⋊C4×D61C22semidirect
116. C2×C22⋊C4×D61C22semidirect
117. C61×#538C22semidirect
118. C2×#126×C61C22semidirect
119. C2×#124×C61C22semidirect
120. C2×#123×C61C22semidirect
121. C2×C22⋊Q8×C61C22semidirect
122. C2×#121×C61C22semidirect
123. C2×#121×C61C22semidirect
124. C2×#120×C61C22semidirect
125. C2×C4×D4×C61C22semidirect
126. C22×C22⋊C4×C61C22semidirect
137. C2×#11758226C23semidirect
139. C2×#11758222C23semidirect
141. C2×#11758224C23semidirect
142. C22×Dic122C23semidirect
143. C22×Dic122C23semidirect
147. C22×D244C23semidirect
154. C22×C22⋊D61C23semidirect
159. C2×D4×D61C23semidirect
160. C2×D4×D61C23semidirect
163. C23×Dic61C23semidirect
175. C22×C4×D61C23semidirect
176. C22×C4×D61C23semidirect
177. C22×C4×D61C23semidirect
178. C22×C4×D61C23semidirect
179. #14519770C23semidirect
180. #14519770C23semidirect
181. #14519770C23semidirect
182. #14519764C23semidirect
183. #14519763C23semidirect
184. #14519763C23semidirect
185. #14519762C23semidirect
186. #14519762C23semidirect
187. #14519762C23semidirect
188. #14519759C23semidirect
189. #14519759C23semidirect
190. #14519759C23semidirect
191. #14519759C23semidirect
192. #14519759C23semidirect
193. #14519758C23semidirect
194. #14519757C23semidirect
195. #14519757C23semidirect
196. #14519756C23semidirect
197. #14519755C23semidirect
198. #14519755C23semidirect
199. #14519755C23semidirect
200. #14519754C23semidirect
201. #14519753C23semidirect
202. #14519753C23semidirect
203. #14519752C23semidirect
204. #14519751C23semidirect
205. #14519750C23semidirect
206. #14519750C23semidirect
207. #14519749C23semidirect
208. #14519749C23semidirect
209. #14519748C23semidirect
210. #14519748C23semidirect
213. #14519747C23semidirect
214. #14519747C23semidirect
215. #14519746C23semidirect
218. #14519745C23semidirect
219. #14519745C23semidirect
220. C4×D244C23semidirect
221. C4×D244C23semidirect
222. D4×Dic61C23semidirect
223. #14519739C23semidirect
224. #14519739C23semidirect
225. C4×C22⋊D61C23semidirect
226. C4×C22⋊D61C23semidirect
227. C4×C22⋊D61C23semidirect
228. #14519737C23semidirect
229. #14519737C23semidirect
230. #14519737C23semidirect
231. #14519735C23semidirect
232. #14519735C23semidirect
233. #14519735C23semidirect
234. #14519734C23semidirect
235. #14519734C23semidirect
236. C2×C4⋊Dic61C23semidirect
237. C2×C4⋊Dic61C23semidirect
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
251. C2×C22⋊Dic61C23semidirect
252. C2×C22⋊Dic61C23semidirect
253. C2×C22⋊Dic61C23semidirect
266. C2×#11758198C23semidirect
267. C2×#11758198C23semidirect
268. C2×#11758198C23semidirect
269. C2×#11758198C23semidirect
270. C2×#11758198C23semidirect
272. C22⋊C4×D61C23semidirect
273. C22⋊C4×D61C23semidirect
274. C22⋊C4×D61C23semidirect
275. C22⋊C4×D61C23semidirect
276. C22⋊C4×D61C23semidirect
277. C22⋊C4×D61C23semidirect
278. C22⋊C4×D61C23semidirect
279. C2×C4×Dic61C23semidirect
280. C2×C4×Dic61C23semidirect
281. C2×C4×Dic61C23semidirect
283. C22×Q8×C61C23semidirect
287. C22×D4×C61C23semidirect
290. C23×C4×C61C23semidirect
291. #126×C61C23semidirect
292. #124×C61C23semidirect
293. #123×C61C23semidirect
294. C22⋊Q8×C61C23semidirect
295. #121×C61C23semidirect
296. #121×C61C23semidirect
297. #120×C61C23semidirect
298. C4×D4×C61C23semidirect
299. C2×C4⋊C4×C61C23semidirect
300. C2×C4⋊C4×C61C23semidirect
301. C2×C4⋊C4×C61C23semidirect
302. C2×C4⋊C4×C61C23semidirect
308. C2×C22⋊C4×C61C23semidirect
309. C2×C22⋊C4×C61C23semidirect
310. C2×C22⋊C4×C61C23semidirect
311. C2×C42×C61C23semidirect
337. C23×D61#41semidirect
348. C2×Q8×C61C24semidirect
356. C2×D4×C61C24semidirect
368. C22×C4×C61C24semidirect
382. C2×C22⋊D61C24semidirect
394. C22×Dic61C24semidirect
408. C2×D244C24semidirect
431. C2×C4×D61C24semidirect
432. C2×C4×D61C24semidirect
435. C2×Dic122C24semidirect
436. C2×Dic122C24semidirect
437. C4⋊C4×C61C24semidirect
438. C4⋊C4×C61C24semidirect
439. C4⋊C4×C61C24semidirect
440. C4⋊C4×C61C24semidirect
446. C22⋊C4×C61C24semidirect
447. C22⋊C4×C61C24semidirect
448. C42×C61C24semidirect
454. C22⋊Dic61C24semidirect
455. C22⋊Dic61C24semidirect
466. #11758198C24semidirect
467. #11758198C24semidirect
468. #11758198C24semidirect
469. #11758198C24semidirect
470. C4⋊Dic61C24semidirect
471. C4⋊Dic61C24semidirect
472. C4⋊Dic61C24semidirect
473. C4⋊Dic61C24semidirect
474. #11758196C24semidirect
475. #11758196C24semidirect
476. #11758196C24semidirect
477. #11758196C24semidirect
478. #11758196C24semidirect
479. #11758196C24semidirect
480. C4×Dic61C24semidirect
481. C4×Dic61C24semidirect
482. C4×Dic61C24semidirect
530. C22×D61C2×#41semidirect
659. C2×#538D61semidirect
670. C2×C61#3490semidirect
698. #538C2×D61semidirect
703. C2×#126C2×D61semidirect
707. C2×#124C2×D61semidirect
720. C2×#123C2×D61semidirect
730. C2×C22⋊Q8C2×D61semidirect
739. C2×#121C2×D61semidirect
740. C2×#121C2×D61semidirect
751. C2×#120C2×D61semidirect
764. C2×C4×D4C2×D61semidirect
783. C22×C22⋊C4C2×D61semidirect
784. C61C2×#3490semidirect
803. C22×Q8C22×D61semidirect
824. C22×D4C22×D61semidirect
845. C23×C4C22×D61semidirect
849. #126C22×D61semidirect
853. #124C22×D61semidirect
863. #123C22×D61semidirect
873. C22⋊Q8C22×D61semidirect
882. #121C22×D61semidirect
883. #121C22×D61semidirect
893. #120C22×D61semidirect
905. C4×D4C22×D61semidirect
921. C2×C4⋊C4C22×D61semidirect
922. C2×C4⋊C4C22×D61semidirect
923. C2×C4⋊C4C22×D61semidirect
924. C2×C4⋊C4C22×D61semidirect
963. C2×C22⋊C4C22×D61semidirect
964. C2×C22⋊C4C22×D61semidirect
965. C2×C22⋊C4C22×D61semidirect
969. C2×C42C22×D61semidirect
1013. C2×Q8C23×D61semidirect
1046. C2×D4C23×D61semidirect
1094. C22×C4C23×D61semidirect
1105. C4⋊C4C23×D61semidirect
1106. C4⋊C4C23×D61semidirect
1107. C4⋊C4C23×D61semidirect
1108. C4⋊C4C23×D61semidirect
1135. C22⋊C4C23×D61semidirect
1136. C22⋊C4C23×D61semidirect
1140. C42C23×D61semidirect
1311. C2#21459505direct (N × H)

Maximal subgroups

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

subgroupindex
#214595052
C2×#168404422
C2×#168404402
C2×#168404372
C2×#168404092
C2×#168404052
C2×#168404042
C2×#168404012
C2×#168403872
C2×#168403502
C2×#168403472
C2×#168403202
C2×#168402752
C2×#168402722
C2×#168402712
C2×#120×D612
C2×#168402342
C22×C22⋊C4×D612
C2×C61×#5382
C2×#349061