Finite Group Databasebeta

← C2×#21459502 #30587920

Subgroups — C2×#21459502 #30587920

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#21459502C2132yesmaximal, direct product factor
2C2×#16840441C212yesmaximal, complemented
3C2×#16840439C212yesmaximal, complemented
4C2×#16840436C212yesmaximal, complemented
5C2×#16840435C212yesmaximal, complemented
6C2×#16840407C212yesmaximal, complemented
7C2×#16840404C212yesmaximal, complemented
8C2×#16840401C212yesmaximal, complemented
9C2×#16840400C212yesmaximal, complemented
10C2×#16840387C211yesmaximal, characteristic, complemented
11C2×#16840352C211yesmaximal, characteristic, complemented
12C2×#16840349C211yesmaximal, characteristic, complemented
13C2×#16840345C212yesmaximal, complemented
14C2×#16840320C211yesmaximal, characteristic, complemented
15C2×#16840273C211yesmaximal, characteristic, complemented
16C2×#16840268C212yesmaximal, complemented
17C2×#120×D61C212yesmaximal, complemented
18C2×#16840234C212yesmaximal, complemented
19C23×#11758198C211yesmaximal, characteristic, complemented
20C2×C61×#525C211yesmaximal, characteristic, complemented
21C25×D61C2211yescharacteristic
22C22×#11758222C2211yescharacteristic, complemented
23C22×#11758224C2212yescomplemented
24C22×D4×D61C2212yes—
25C22×D4×D61C2212yescomplemented
26C22×D4×D61C2212yescomplemented
27C24×Dic61C2211yescharacteristic, complemented
28#16840441C22132yescomplemented
29#16840439C22132yescomplemented
30#16840436C22132yescomplemented
31#16840435C22132yescomplemented
32#16840407C22132yescomplemented
33#16840404C22132yescomplemented
34#16840401C22132yescomplemented
35#16840400C22132yescomplemented
36#16840387C22116yescomplemented
37#16840352C22116yescomplemented
38#16840349C22116yescomplemented
39#16840345C22132yescomplemented
40#16840320C22116yescomplemented
41C2×#14519772C2212yescomplemented
42C2×#14519772C2212yescomplemented
43C2×#14519772C2212yescomplemented
44C2×#14519771C2212yescomplemented
45C2×#14519766C2212yescomplemented
46C2×#14519765C2212yescomplemented
47C2×#14519763C2212yescomplemented
48C2×#14519763C2212yescomplemented
49#16840273C22116yescomplemented
50#16840268C22132yescomplemented
51C2×#14519762C2212yescomplemented
52C2×#14519762C2212yescomplemented
53C2×#14519762C2212yescomplemented
54C2×#14519761C2212yescomplemented
55C2×#14519761C2212yescomplemented
56C2×#14519760C2212yescomplemented
57C2×#14519760C2212yescomplemented
58C2×#14519759C2212yescomplemented
59C2×#14519758C2212yescomplemented
60C2×#14519757C2212yescomplemented
61C2×#14519756C2211yescharacteristic, complemented
62C2×#14519756C2211yescharacteristic, complemented
63C2×#14519755C2212yescomplemented
64C2×#14519755C2212yescomplemented
65C2×#14519754C2212yescomplemented
66C2×#14519754C2212yescomplemented
67C2×#14519753C2212yescomplemented
68C2×#14519752C2212yescomplemented
69C2×#14519751C2211yescharacteristic, complemented
70C2×#14519751C2211yescharacteristic, complemented
71C2×#14519751C2212yescomplemented
72C2×#14519750C2212yescomplemented
73C2×#14519749C2212yescomplemented
74C2×#14519749C2212yescomplemented
75C2×#14519749C2212yescomplemented
76C2×#14519747C2212yes—
77C2×#14519747C2212yes—
78C2×#14519747C2212yescomplemented
79C2×#14519747C2212yescomplemented
80C2×#14519746C2212yescomplemented
81C2×#14519745C2212yes—
82C2×#14519745C2212yes—
83C2×#14519745C2212yescomplemented
84C2×#14519745C2212yescomplemented
85#120×D61C22132yescomplemented
86#16840234C22132yescomplemented
87C2×C4×D244C2212yescomplemented
88C2×D4×Dic61C2212yescomplemented
89C2×D4×Dic61C2212yescomplemented
90C2×#14519739C2212yescomplemented
91C2×C4×C22⋊D61C2212yescomplemented
92C2×C4×C22⋊D61C2212yescomplemented
93C2×C4×C22⋊D61C2212yescomplemented
94C2×#14519737C2212yescomplemented
95C2×#14519737C2212yescomplemented
96C2×#14519737C2212yescomplemented
97C2×#14519736C2211yescharacteristic, complemented
98C2×#14519735C2212yescomplemented
99C2×#14519734C2212yescomplemented
100C2×#14519733C2212yescomplemented
101C22×#11758198C2211yescharacteristic
102C22×#11758198C2211yescharacteristic
103C22×#11758198C2212yescomplemented
104C22×#11758198C2212yescomplemented
105C22×#11758198C2212yescomplemented
106C22×#11758198C2212yescomplemented
107C22×#11758198C2211yescharacteristic, complemented
108C22×#11758198C2211yescharacteristic, complemented
109C22×#11758198C22116yescomplemented
110C22×#11758198C2212yescomplemented
111C2×C22⋊C4×D61C2212yes—
112C2×C22⋊C4×D61C2212yescomplemented
113C2×C22⋊C4×D61C2212yescomplemented
114C2×C22⋊C4×D61C2212yescomplemented
115C22×#41×C61C2211yescharacteristic, complemented
116C24×C4×C61C2211yescharacteristic, complemented
117C61×#525C22116yescomplemented
118C2×#123×C61C2212yescomplemented
119C2×C22⋊Q8×C61C2211yescharacteristic, complemented
120C2×C22⋊Q8×C61C2211yescharacteristic, complemented
121C2×#121×C61C2211yescharacteristic, complemented
122C2×#121×C61C2211yescharacteristic, complemented
123C2×#120×C61C2212yescomplemented
124C2×C4×D4×C61C2212yescomplemented
125C2×C4×D4×C61C2212yescomplemented
126C2×#117×C61C2211yescharacteristic, complemented
127C24×D61—28no—
128C24×D61—44no—
129C24×D61—44no—
130C24×D61C2312yes—
131C24×D61C2312yes—
132C24×D61C2312yes—
133C24×D61C2318yes—
134C24×D61C2311yescharacteristic
135C24×D61C2311yescharacteristic
136C2×#11758222—44no—
137C2×#11758222C2318yescomplemented
138C2×#11758224—48no—
139C2×#11758224C23116yescomplemented
140C22×Dic122C2312yescomplemented
141C22×Dic122C2311yescharacteristic, complemented
142C22×D244C2312yes—
143C22×D244C2312yes—
144C22×D244C2312yes—
145C22×D244C2311yescharacteristic, complemented
146C22×C22⋊D61C2312yes—
147C22×C22⋊D61C2312yes—
148C22×C22⋊D61C2312yes—
149C22×C22⋊D61C2312yes—
150C22×C22⋊D61C2312yes—
151C22×C22⋊D61C2312yes—
152C22×C22⋊D61C2312yescomplemented
153C2×D4×D61—216no—
154C2×D4×D61—48no—
155C2×D4×D61—48no—
156C2×D4×D61C23116yes—
157C2×D4×D61C23116yescomplemented
158C2×D4×D61C23116yescomplemented
159C23×Dic61—44no—
160C23×Dic61C2312yes—
161C23×Dic61C2311yescharacteristic
162C23×Dic61C2311yescharacteristic
163C23×Dic61C2312yes—
164C23×Dic61C2318yescomplemented
165C23×Dic61C2312yescomplemented
166C22×C4×D61C2312yes—
167C22×C4×D61C2312yes—
168C22×C4×D61C2312yes—
169C22×C4×D61C2312yescomplemented
170C22×C4×D61C2312yescomplemented
171#14519772C23116yescomplemented
172#14519772C23116yescomplemented
173#14519772C23116yescomplemented
174#14519771C23116yescomplemented
175#14519766C23116yescomplemented
176#14519765C23116yescomplemented
177#14519763C23116yescomplemented
178#14519763C23116yescomplemented
179#14519762C23116yescomplemented
180#14519762C23116yescomplemented
181#14519762C23116yescomplemented
182#14519761C23116yescomplemented
183#14519761C23116yescomplemented
184#14519760C23116yescomplemented
185#14519760C23116yescomplemented
186#14519759C23116yescomplemented
187#14519758C23116yescomplemented
188#14519757C23116yescomplemented
189#14519756C2318yescomplemented
190#14519756C2318yescomplemented
191#14519755C23116yescomplemented
192#14519755C23116yescomplemented
193#14519754C23116yescomplemented
194#14519754C23116yescomplemented
195#14519753C23116yescomplemented
196#14519752C23116yescomplemented
197#14519751C23116yescomplemented
198#14519751C2318yescomplemented
199#14519751C2318yescomplemented
200#14519750C23116yescomplemented
201#14519749C23116yescomplemented
202#14519749C23116yescomplemented
203#14519749C23116yescomplemented
204#14519747C23116yes—
205#14519747C23116yes—
206#14519747C23116yescomplemented
207#14519747C23116yescomplemented
208#14519746C23116yescomplemented
209#14519745C23116yes—
210#14519745C23116yes—
211#14519745C23116yescomplemented
212#14519745C23116yescomplemented
213C4×D244C23116yescomplemented
214D4×Dic61C23116yescomplemented
215D4×Dic61C23116yescomplemented
216#14519739C23116yescomplemented
217C4×C22⋊D61C23116yescomplemented
218C4×C22⋊D61C23116yescomplemented
219C4×C22⋊D61C23116yescomplemented
220#14519737C23116yescomplemented
221#14519737C23116yescomplemented
222#14519737C23116yescomplemented
223#14519736C2318yescomplemented
224#14519735C23116yescomplemented
225#14519734C23116yescomplemented
226#14519733C23116yescomplemented
227C2×C4⋊Dic61C2312yescomplemented
228C2×C4⋊Dic61C2311yescharacteristic, complemented
229C2×C4⋊Dic61C2311yescharacteristic, complemented
230C2×C4⋊Dic61C2312yescomplemented
231C2×#11758196C2312yescomplemented
232C2×#11758196C2312yescomplemented
233C2×#11758196C2312yescomplemented
234C2×#11758196C2312yescomplemented
235C2×#11758196C2312yescomplemented
236C2×#11758196C2312yescomplemented
237C2×C22⋊Dic61C2312yes—
238C2×C22⋊Dic61C2312yes—
239C2×C22⋊Dic61C2312yes—
240C2×C22⋊Dic61C2312yescomplemented
241C2×C22⋊Dic61C2312yescomplemented
242C2×#11758198C2312yes—
243C2×#11758198C2312yes—
244C2×#11758198C2312yes—
245C2×#11758198C2312yes—
246C2×#11758198C2312yes—
247C2×#11758198C2312yes—
248C2×#11758198C2312yes—
249C2×#11758198C2312yes—
250C2×#11758198C2318yes—
251C2×#11758198C2312yes—
252C2×#11758198C2312yes—
253C2×#11758198C2318yes—
254C2×#11758198C2312yes—
255C2×#11758198C2312yes—
256C2×#11758198C2312yes—
257C2×#11758198C2312yes—
258C2×#11758198C2318yescomplemented
259C2×#11758198C2318yescomplemented
260C2×#11758198C23116yescomplemented
261C2×#11758198C23116yescomplemented
262C2×#11758198C23116yescomplemented
263C2×#11758198C23116yescomplemented
264C2×#11758198C23116yescomplemented
265C2×#11758198C2312yescomplemented
266C2×#11758198C2312yescomplemented
267C2×#11758198C2312yescomplemented
268C2×#11758198C2312yescomplemented
269C22⋊C4×D61C23116yes—
270C22⋊C4×D61C23116yescomplemented
271C22⋊C4×D61C23116yescomplemented
272C22⋊C4×D61C23116yescomplemented
273C2×C4×Dic61C2312yescomplemented
274C2×C4×Dic61C2312yescomplemented
275C2×C4×Dic61C2312yescomplemented
276C25×C61C2311yescharacteristic
277C2×#41×C61—44no—
278C2×#41×C61C2318yescomplemented
279C22×Q8×C61C2311yescharacteristic, complemented
280C22×D4×C61C2312yes—
281C22×D4×C61C2312yes—
282C22×D4×C61C2312yes—
283C22×D4×C61C2311yescharacteristic, complemented
284C23×C4×C61—44no—
285C23×C4×C61C2311yescharacteristic
286C23×C4×C61C2311yescharacteristic
287C23×C4×C61C2311yescharacteristic
288C23×C4×C61C2311yescharacteristic
289C23×C4×C61C2311yescharacteristic
290C23×C4×C61C2311yescharacteristic
291C23×C4×C61C2318yescomplemented
292C23×C4×C61C2312yescomplemented
293#123×C61C23116yescomplemented
294C22⋊Q8×C61C2318yescomplemented
295C22⋊Q8×C61C2318yescomplemented
296#121×C61C2318yescomplemented
297#121×C61C2318yescomplemented
298#120×C61C23116yescomplemented
299C4×D4×C61C23116yescomplemented
300C4×D4×C61C23116yescomplemented
301#117×C61C2318yescomplemented
302C2×C4⋊C4×C61C2312yescomplemented
303C2×C4⋊C4×C61C2312yescomplemented
304C2×C4⋊C4×C61C2311yescharacteristic, complemented
305C2×C4⋊C4×C61C2311yescharacteristic, complemented
306C2×C22⋊C4×C61C2312yes—
307C2×C22⋊C4×C61C2312yes—
308C2×C22⋊C4×C61C2312yes—
309C2×C22⋊C4×C61C2312yescomplemented
310C2×C22⋊C4×C61C2312yescomplemented
311C2×C42×C61C2312yescomplemented
312C24×C61—24no—
313C24×C61—24no—
314C24×C61—24no—
315C24×C61C2414yes—
316C24×C61C2412yes—
317C24×C61C2411yescharacteristic
318C24×C61C2411yescharacteristic
319C24×C61C2411yescharacteristic
320C23×D61—24no—
321C23×D61—28no—
322C23×D61—28no—
323C23×D61—28no—
324C23×D61—28no—
325C23×D61—232no—
326C23×D61—28no—
327C23×D61—42no—
328C23×D61—42no—
329C23×D61—44no—
330C23×D61—44no—
331C23×D61—42no—
332C23×D61—42no—
333C23×D61—416no—
334C23×D61—416no—
335C23×D61—44no—
336C23×D61—44no—
337C23×D61—464no—
338C23×D61#4118yescomplemented
339C23×D61C2412yes—
340C23×D61C2412yes—
341C23×D61C2418yes—
342C23×D61C2418yes—
343C23×D61C2412yes—
344C23×D61C2418yes—
345C23×D61C2414yes—
346C23×D61C2414yes—
347#41×C61—416no—
348C2×Q8×C61—42no—
349C2×Q8×C61C2414yescomplemented
350C2×D4×C61—28no—
351C2×D4×C61—28no—
352C2×D4×C61—28no—
353C2×D4×C61—42no—
354C2×D4×C61C2418yes—
355C2×D4×C61C2418yes—
356C2×D4×C61C2418yes—
357C2×D4×C61C2414yescomplemented
358C22×C4×C61—24no—
359C22×C4×C61—24no—
360C22×C4×C61—42no—
361C22×C4×C61—42no—
362C22×C4×C61—42no—
363C22×C4×C61—42no—
364C22×C4×C61—416no—
365C22×C4×C61—44no—
366C22×C4×C61C2412yes—
367C22×C4×C61C2412yes—
368C22×C4×C61C2412yes—
369C22×C4×C61C2411yescharacteristic
370C22×C4×C61C2411yescharacteristic
371C22×C4×C61C2414yes—
372C22×C4×C61C2411yescharacteristic
373C22×C4×C61C2411yescharacteristic
374C22×C4×C61C2414yes—
375C22×C4×C61C2414yes—
376C22×C4×C61C2414yes—
377C22×C4×C61C2414yes—
378C22×C4×C61C2414yes—
379C22×C4×C61C2418yescomplemented
380C2×C22⋊D61—28no—
381C2×C22⋊D61—28no—
382C2×C22⋊D61—28no—
383C2×C22⋊D61—28no—
384C2×C22⋊D61—44no—
385C2×C22⋊D61—44no—
386C2×C22⋊D61—44no—
387C2×C22⋊D61C2418yes—
388C2×C22⋊D61C2418yes—
389C2×C22⋊D61C2418yes—
390C2×C22⋊D61C2418yes—
391C2×C22⋊D61C2418yes—
392C2×C22⋊D61C2418yes—
393C2×C22⋊D61C2418yescomplemented
394C22×Dic61—28no—
395C22×Dic61—42no—
396C22×Dic61—44no—
397C22×Dic61—42no—
398C22×Dic61—416no—
399C22×Dic61—44no—
400C22×Dic61C2412yes—
401C22×Dic61C2412yes—
402C22×Dic61C2412yes—
403C22×Dic61C2412yes—
404C22×Dic61C2412yes—
405C22×Dic61C2418yes—
406C22×Dic61C2414yes—
407C22×Dic61C2414yes—
408C22×Dic61C2418yes—
409C22×Dic61C2418yescomplemented
410#11758224—432no—
411D4×D61—264no—
412D4×D61—432no—
413D4×D61—432no—
414#11758222—416no—
415C2×D244—28no—
416C2×D244—44no—
417C2×D244—44no—
418C2×D244—42no—
419C2×D244C2418yes—
420C2×D244C2418yes—
421C2×D244C2418yes—
422C2×D244C2414yescomplemented
423C2×C4×D61—28no—
424C2×C4×D61—44no—
425C2×C4×D61—44no—
426C2×C4×D61—44no—
427C2×C4×D61—44no—
428C2×C4×D61C2418yes—
429C2×C4×D61C2418yes—
430C2×C4×D61C2418yes—
431C2×C4×D61C2418yescomplemented
432C2×C4×D61C2418yescomplemented
433C2×Dic122—44no—
434C2×Dic122—42no—
435C2×Dic122C2418yescomplemented
436C2×Dic122C2414yescomplemented
437C4⋊C4×C61C2414yescomplemented
438C4⋊C4×C61C2414yescomplemented
439C4⋊C4×C61C2418yescomplemented
440C4⋊C4×C61C2418yescomplemented
441C22⋊C4×C61C2418yes—
442C22⋊C4×C61C2418yes—
443C22⋊C4×C61C2418yes—
444C22⋊C4×C61C2418yescomplemented
445C22⋊C4×C61C2418yescomplemented
446C42×C61C2418yescomplemented
447C22⋊Dic61C2418yes—
448C22⋊Dic61C2418yes—
449C22⋊Dic61C2418yes—
450C22⋊Dic61C2418yescomplemented
451C22⋊Dic61C2418yescomplemented
452#11758198C2418yes—
453#11758198C2418yes—
454#11758198C2418yes—
455#11758198C2418yes—
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—232no—
484C23×C61—28no—
485C23×C61—22no—
486C23×C61—22no—
487C23×C61—28no—
488C23×C61—22no—
489C23×C61—22no—
490C23×C61—28no—
491C23×C61—22no—
492C23×C61—22no—
493C23×C61—24no—
494C23×C61—24no—
495C23×C61—24no—
496C23×C61C2×#4114yes—
497C23×C61H(5,𝔽2)14yes—
498C23×C61H(5,𝔽2)14yes—
499C23×C61C2514yes—
500C23×C61C2512yes—
501C23×C61C2512yes—
502C23×C61C2512yes—
503C23×C61C2511yescharacteristic
504C22×D61—24no—
505C22×D61—24no—
506C22×D61—24no—
507C22×D61—28no—
508C22×D61—24no—
509C22×D61—24no—
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—44no—
520C22×D61—44no—
521C22×D61—48no—
522C22×D61—48no—
523C22×D61—44no—
524C22×D61—44no—
525C22×D61—48no—
526C22×D61—48no—
527C22×D61—432no—
528C22×D61—432no—
529C22×D61—4128no—
530C22×D61—416no—
531C22×D61—816no—
532C22×D61C2×#4118yes—
533C22×D61C2×#41116yescomplemented
534C22×D61C2514yes—
535C22×D61C2514yes—
536C22×D61C2514yes—
537Q8×C61—44no—
538D4×C61—216no—
539D4×C61—216no—
540D4×C61—216no—
541D4×C61—44no—
542C2×C4×C61—24no—
543C2×C4×C61—24no—
544C2×C4×C61—22no—
545C2×C4×C61—22no—
546C2×C4×C61—24no—
547C2×C4×C61—28no—
548C2×C4×C61—22no—
549C2×C4×C61—22no—
550C2×C4×C61—28no—
551C2×C4×C61—44no—
552C2×C4×C61—44no—
553C2×C4×C61—44no—
554C2×C4×C61—44no—
555C2×C4×C61—48no—
556C2×C4×C61C2512yes—
557C2×C4×C61C2514yes—
558C2×C4×C61C2514yes—
559C2×C4×C61C2512yes—
560C2×C4×C61C2512yes—
561C2×C4×C61C2514yes—
562C2×C4×C61C2512yes—
563C22⋊D61—216no—
564C22⋊D61—216no—
565C22⋊D61—216no—
566C22⋊D61—216no—
567C22⋊D61—48no—
568C22⋊D61—48no—
569C22⋊D61—48no—
570C2×Dic61—24no—
571C2×Dic61—24no—
572C2×Dic61—24no—
573C2×Dic61—24no—
574C2×Dic61—24no—
575C2×Dic61—216no—
576C2×Dic61—48no—
577C2×Dic61—44no—
578C2×Dic61—48no—
579C2×Dic61—44no—
580C2×Dic61C2514yes—
581C2×Dic61C2514yes—
582C2×Dic61C2514yes—
583C2×Dic61C2514yes—
584C2×Dic61C2514yes—
585D244—216no—
586D244—48no—
587D244—48no—
588D244—44no—
589C4×D61—216no—
590C4×D61—48no—
591C4×D61—48no—
592C4×D61—48no—
593C4×D61—48no—
594Dic122—44no—
595Dic122—48no—
596C2×#3490—611nomaximal, Sylow
597C22×C61—232no—
598C22×C61—22no—
599C22×C61—22no—
600C22×C61—22no—
601C22×C61—22no—
602C22×C61—22no—
603C22×C61—22no—
604C22×C61—28no—
605C22×C61—28no—
606C22×C61—28no—
607C22×C61—24no—
608C22×C61—24no—
609C22×C61—24no—
610C22×C61—48no—
611C22×C61C22×#4114yes—
612C22×C61C22×#4112yes—
613C22×C61C2×H(5,𝔽2)14yes—
614C22×C61C2×H(5,𝔽2)12yes—
615C22×C61C2×H(5,𝔽2)14yes—
616C22×C61C2×H(5,𝔽2)12yes—
617C22×C61C2611yescharacteristic
618C2×D61—24no—
619C2×D61—24no—
620C2×D61—216no—
621C2×D61—24no—
622C2×D61—24no—
623C2×D61—24no—
624C2×D61—24no—
625C2×D61—24no—
626C2×D61—24no—
627C2×D61—416no—
628C2×D61—432no—
629C2×D61—432no—
630C2×D61—416no—
631C2×D61—48no—
632C2×D61—48no—
633C2×D61—816no—
634C2×D61C22×#4118yes—
635C4×C61—24no—
636C4×C61—24no—
637C4×C61—22no—
638C4×C61—22no—
639C4×C61—24no—
640C4×C61—22no—
641C4×C61—22no—
642Dic61—24no—
643Dic61—24no—
644Dic61—24no—
645Dic61—24no—
646Dic61—24no—
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—611no—
658C2×#538—611no—
659C2×#538—612no—
660C2×#534—611no—
661C2×#525—611no—
662C2×#525—612no—
663C2×#525D6111yescharacteristic, complemented
664C22×#120—612no—
665C2×#518—612no—
666C23×C22⋊C4—611no—
667C2×C61—24no—
668C2×C61—24no—
669C2×C61—24no—
670C2×C61—44no—
671C2×C61#349014yescomplemented
672C2×C61C23×#4111yescharacteristic
673C2×C61C22×H(5,𝔽2)11yescharacteristic
674C2×C61C22×H(5,𝔽2)11yescharacteristic
675D61—28no—
676D61—44no—
677D61—44no—
678C26—611no—
679C22×#41—612no—
680C22×#41—611no—
681C22×#41C2×D6111yescharacteristic, complemented
682C23×D4—612no—
683C23×D4—612no—
684C23×D4—612no—
685C24×C4—611no—
686C24×C4C2×D6111yescharacteristic, complemented
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—6116no—
697#538—6116no—
698#538—6132no—
699#534—6116no—
700C2×#126—612no—
701C2×#126—612no—
702C2×#126—612no—
703C2×#126—612no—
704C2×#124—612no—
705C2×#124—612no—
706C2×#124—612no—
707C2×#124—612no—
708#525—6116no—
709#525—6132no—
710#525C2×D61116yescomplemented
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—612no—
722C2×C22⋊Q8—611no—
723C2×C22⋊Q8—611no—
724C2×C22⋊Q8—612no—
725C2×C22⋊Q8—612no—
726C2×C22⋊Q8—612no—
727C2×C22⋊Q8—612no—
728C2×C22⋊Q8—612no—
729C2×C22⋊Q8C2×D6111yescharacteristic, complemented
730C2×C22⋊Q8C2×D6111yescharacteristic, complemented
731C2×#121—612no—
732C2×#121—612no—
733C2×#121—612no—
734C2×#121—611no—
735C2×#121—611no—
736C2×#121—612no—
737C2×#121—612no—
738C2×#121—612no—
739C2×#121C2×D6111yescharacteristic, complemented
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×D4C2×D6112yescomplemented
764C2×C4×D4C2×D6112yescomplemented
765C2×#117—611no—
766C2×#117—612no—
767C2×#117—612no—
768C2×#117—612no—
769C2×#117C2×D6111yescharacteristic, complemented
770C22×C22⋊C4—611no—
771C22×C22⋊C4—611no—
772C22×C22⋊C4—611no—
773C22×C22⋊C4—611no—
774C22×C22⋊C4—612no—
775C22×C22⋊C4—612no—
776C22×C22⋊C4—612no—
777C22×C22⋊C4—612no—
778C22×C22⋊C4—6116no—
779C22×C22⋊C4—612no—
780C22×C22⋊C4—612no—
781C22×C22⋊C4—612no—
782C22×C22⋊C4—612no—
783C22×C22⋊C4—612no—
784C61C2×#349011yescharacteristic, complemented, Sylow
785C25—611no—
786C25—612no—
787C25—612no—
788C25—618no—
789C25—611no—
790C25—612no—
791C25—1228no—
792C25—2444no—
793C25—2444no—
794C25C22×D6111yescharacteristic
795C2×#41—44no—
796C2×#41—6116no—
797C2×#41—618no—
798C2×#41—2444no—
799C2×#41—2448no—
800C2×#41C22×D6118yescomplemented
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—44no—
826C23×C4—612no—
827C23×C4—611no—
828C23×C4—612no—
829C23×C4—611no—
830C23×C4—618no—
831C23×C4—612no—
832C23×C4—612no—
833C23×C4—612no—
834C23×C4—612no—
835C23×C4—612no—
836C23×C4—612no—
837C23×C4—2444no—
838C23×C4C22×D6111yescharacteristic
839C23×C4C22×D6111yescharacteristic
840C23×C4C22×D6111yescharacteristic
841C23×C4C22×D6111yescharacteristic
842C23×C4C22×D6111yescharacteristic
843C23×C4C22×D6111yescharacteristic
844C23×C4C22×D6118yescomplemented
845C23×C4C22×D6112yescomplemented
846#126—6116no—
847#126—6116no—
848#126—6116no—
849#126—6116no—
850#124—6116no—
851#124—6116no—
852#124—6116no—
853#124—6116no—
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—6116no—
865C22⋊Q8—618no—
866C22⋊Q8—618no—
867C22⋊Q8—6116no—
868C22⋊Q8—6116no—
869C22⋊Q8—6116no—
870C22⋊Q8—6116no—
871C22⋊Q8—6116no—
872C22⋊Q8C22×D6118yescomplemented
873C22⋊Q8C22×D6118yescomplemented
874#121—6116no—
875#121—6116no—
876#121—6116no—
877#121—618no—
878#121—618no—
879#121—6116no—
880#121—6116no—
881#121—6116no—
882#121C22×D6118yescomplemented
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×D4C22×D61116yescomplemented
905C4×D4C22×D61116yescomplemented
906#117—618no—
907#117—6116no—
908#117—6116no—
909#117—6116no—
910#117C22×D6118yescomplemented
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—612no—
928C2×C22⋊C4—612no—
929C2×C22⋊C4—612no—
930C2×C22⋊C4—612no—
931C2×C22⋊C4—612no—
932C2×C22⋊C4—618no—
933C2×C22⋊C4—612no—
934C2×C22⋊C4—612no—
935C2×C22⋊C4—612no—
936C2×C22⋊C4—612no—
937C2×C22⋊C4—612no—
938C2×C22⋊C4—612no—
939C2×C22⋊C4—618no—
940C2×C22⋊C4—618no—
941C2×C22⋊C4—618no—
942C2×C22⋊C4—6116no—
943C2×C22⋊C4—6116no—
944C2×C22⋊C4—6116no—
945C2×C22⋊C4—6116no—
946C2×C22⋊C4—612no—
947C2×C22⋊C4—612no—
948C2×C22⋊C4—612no—
949C2×C22⋊C4—612no—
950C2×C22⋊C4—612no—
951C2×C22⋊C4—612no—
952C2×C22⋊C4—612no—
953C2×C22⋊C4—612no—
954C2×C22⋊C4—612no—
955C2×C22⋊C4—612no—
956C2×C22⋊C4—6116no—
957C2×C22⋊C4—6116no—
958C2×C22⋊C4—6116no—
959C2×C22⋊C4—6116no—
960C2×C22⋊C4—6116no—
961C2×C22⋊C4C22×D6112yes—
962C2×C22⋊C4C22×D6112yes—
963C2×C22⋊C4C22×D6112yes—
964C2×C22⋊C4C22×D6112yescomplemented
965C2×C22⋊C4C22×D6112yescomplemented
966C2×C42—612no—
967C2×C42—612no—
968C2×C42—612no—
969C2×C42C22×D6112yescomplemented
970C24—24no—
971C24—24no—
972C24—24no—
973C24—612no—
974C24—618no—
975C24—614no—
976C24—612no—
977C24—612no—
978C24—618no—
979C24—618no—
980C24—614no—
981C24—618no—
982C24—1228no—
983C24—1228no—
984C24—1228no—
985C24—12232no—
986C24—1224no—
987C24—1228no—
988C24—1228no—
989C24—2444no—
990C24—2444no—
991C24—2442no—
992C24—2444no—
993C24—24416no—
994C24—2442no—
995C24—2442no—
996C24—2444no—
997C24—24416no—
998C24—2442no—
999C24—24464no—
1000C24C23×D6114yes—
1001C24C23×D6112yes—
1002C24C23×D6111yescharacteristic
1003C24C23×D6111yescharacteristic
1004C24C23×D6111yescharacteristic
1005#41—416no—
1006#41—24416no—
1007#41—24432no—
1008C2×Q8—42no—
1009C2×Q8—614no—
1010C2×Q8—618no—
1011C2×Q8—2442no—
1012C2×Q8—2444no—
1013C2×Q8C23×D6114yescomplemented
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
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—614no—
1027C2×D4—618no—
1028C2×D4—618no—
1029C2×D4—1228no—
1030C2×D4—12264no—
1031C2×D4—1228no—
1032C2×D4—1228no—
1033C2×D4—1228no—
1034C2×D4—1228no—
1035C2×D4—2444no—
1036C2×D4—2444no—
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—24no—
1048C22×C4—24no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—416no—
1054C22×C4—44no—
1055C22×C4—618no—
1056C22×C4—612no—
1057C22×C4—612no—
1058C22×C4—612no—
1059C22×C4—612no—
1060C22×C4—612no—
1061C22×C4—614no—
1062C22×C4—618no—
1063C22×C4—614no—
1064C22×C4—618no—
1065C22×C4—618no—
1066C22×C4—618no—
1067C22×C4—618no—
1068C22×C4—618no—
1069C22×C4—618no—
1070C22×C4—1228no—
1071C22×C4—1228no—
1072C22×C4—2444no—
1073C22×C4—2444no—
1074C22×C4—2444no—
1075C22×C4—2444no—
1076C22×C4—2442no—
1077C22×C4—2444no—
1078C22×C4—2442no—
1079C22×C4—24416no—
1080C22×C4—2444no—
1081C22×C4C23×D6114yes—
1082C22×C4C23×D6114yes—
1083C22×C4C23×D6111yescharacteristic
1084C22×C4C23×D6112yes—
1085C22×C4C23×D6112yes—
1086C22×C4C23×D6111yescharacteristic
1087C22×C4C23×D6112yes—
1088C22×C4C23×D6111yescharacteristic
1089C22×C4C23×D6111yescharacteristic
1090C22×C4C23×D6114yes—
1091C22×C4C23×D6114yes—
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⋊C4—618no—
1131C22⋊C4—618no—
1132C22⋊C4C23×D6118yes—
1133C22⋊C4C23×D6118yes—
1134C22⋊C4C23×D6118yes—
1135C22⋊C4C23×D6118yescomplemented
1136C22⋊C4C23×D6118yescomplemented
1137C42—618no—
1138C42—618no—
1139C42—618no—
1140C42C23×D6118yescomplemented
1141C23—232no—
1142C23—28no—
1143C23—22no—
1144C23—22no—
1145C23—28no—
1146C23—22no—
1147C23—22no—
1148C23—28no—
1149C23—22no—
1150C23—22no—
1151C23—24no—
1152C23—24no—
1153C23—24no—
1154C23—618no—
1155C23—614no—
1156C23—6116no—
1157C23—614no—
1158C23—614no—
1159C23—12216no—
1160C23—12216no—
1161C23—12216no—
1162C23—1224no—
1163C23—1224no—
1164C23—1224no—
1165C23—1228no—
1166C23—1224no—
1167C23—1224no—
1168C23—12216no—
1169C23—1224no—
1170C23—1224no—
1171C23—12216no—
1172C23—1224no—
1173C23—48816no—
1174C23—2448no—
1175C23—2448no—
1176C23—24416no—
1177C23—2444no—
1178C23—2448no—
1179C23—2444no—
1180C23—2444no—
1181C23—2448no—
1182C23—2444no—
1183C23—24432no—
1184C23—24432no—
1185C23—244128no—
1186C23—24416no—
1187C23#41×D6114yes—
1188C23#1451982214yes—
1189C23#1451982314yes—
1190C23C24×D6114yes—
1191C23C24×D6112yes—
1192C23C24×D6112yes—
1193C23C24×D6112yes—
1194C23C24×D6111yescharacteristic
1195Q8—44no—
1196Q8—2444no—
1197Q8—2448no—
1198D4—216no—
1199D4—216no—
1200D4—216no—
1201D4—44no—
1202D4—12216no—
1203D4—12216no—
1204D4—12216no—
1205D4—12216no—
1206D4—12216no—
1207D4—2448no—
1208D4—2448no—
1209D4—2444no—
1210D4—2448no—
1211D4—2448no—
1212D4—2448no—
1213C2×C4—24no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—28no—
1219C2×C4—28no—
1220C2×C4—24no—
1221C2×C4—24no—
1222C2×C4—44no—
1223C2×C4—44no—
1224C2×C4—44no—
1225C2×C4—44no—
1226C2×C4—48no—
1227C2×C4—614no—
1228C2×C4—614no—
1229C2×C4—614no—
1230C2×C4—614no—
1231C2×C4—614no—
1232C2×C4—12216no—
1233C2×C4—1224no—
1234C2×C4—1224no—
1235C2×C4—1224no—
1236C2×C4—1224no—
1237C2×C4—12216no—
1238C2×C4—1224no—
1239C2×C4—2448no—
1240C2×C4—2448no—
1241C2×C4—2448no—
1242C2×C4—2448no—
1243C2×C4—2444no—
1244C2×C4—2448no—
1245C2×C4—2444no—
1246C2×C4—2448no—
1247C2×C4C24×D6112yes—
1248C2×C4C24×D6114yes—
1249C2×C4C24×D6114yes—
1250C2×C4C24×D6112yes—
1251C2×C4C24×D6114yes—
1252C2×C4C24×D6112yes—
1253C2×C4C24×D6112yes—
1254C22—232no—
1255C22—28no—
1256C22—28no—
1257C22—28no—
1258C22—22no—
1259C22—22no—
1260C22—22no—
1261C22—22no—
1262C22—22no—
1263C22—22no—
1264C22—24no—
1265C22—24no—
1266C22—24no—
1267C22—48no—
1268C22—618no—
1269C22—12216no—
1270C22—1224no—
1271C22—1224no—
1272C22—1224no—
1273C22—1224no—
1274C22—1224no—
1275C22—1224no—
1276C22—1224no—
1277C22—1224no—
1278C22—48816no—
1279C22—24416no—
1280C22—24432no—
1281C22—24432no—
1282C22—24416no—
1283C22—2448no—
1284C22—2448no—
1285C22C2×#41×D6114yes—
1286C22C2×#41×D6112yes—
1287C22C2×#1451982214yes—
1288C22C2×#1451982212yes—
1289C22C2×#1451982314yes—
1290C22C2×#1451982312yes—
1291C22C25×D6111yescharacteristic
1292C4—24no—
1293C4—22no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—24no—
1298C4—24no—
1299C4—1224no—
1300C4—1224no—
1301C4—1224no—
1302C4—1224no—
1303C4—1224no—
1304C2—24no—
1305C2—24no—
1306C2—24no—
1307C2—44no—
1308C2—1228no—
1309C2—2444no—
1310C2—2444no—
1311C2#2145950214yesdirect product factor
1312C2C22×#41×D6111yescharacteristic
1313C2C22×#1451982211yescharacteristic
1314C2C22×#1451982311yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#525C2
socleC23×C61C25
hypercenterC2×#525D61
hypocenterC61C2×#3490
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #21459502C2direct (N × H)
2. C2×#16840441C2semidirect
3. C2×#16840439C2semidirect
4. C2×#16840436C2semidirect
5. C2×#16840435C2semidirect
6. C2×#16840407C2semidirect
7. C2×#16840404C2semidirect
8. C2×#16840401C2semidirect
9. C2×#16840400C2semidirect
10. C2×#16840387C2semidirect
11. C2×#16840352C2semidirect
12. C2×#16840349C2semidirect
13. C2×#16840345C2semidirect
14. C2×#16840320C2semidirect
15. C2×#16840273C2semidirect
16. C2×#16840268C2semidirect
17. C2×#120×D61C2semidirect
18. C2×#16840234C2semidirect
19. C23×#11758198C2semidirect
20. C2×C61×#525C2semidirect
22. C22×#11758222C22semidirect
23. C22×#11758224C22semidirect
25. C22×D4×D61C22semidirect
26. C22×D4×D61C22semidirect
27. C24×Dic61C22semidirect
28. #16840441C22semidirect
29. #16840439C22semidirect
30. #16840436C22semidirect
31. #16840435C22semidirect
32. #16840407C22semidirect
33. #16840404C22semidirect
34. #16840401C22semidirect
35. #16840400C22semidirect
36. #16840387C22semidirect
37. #16840352C22semidirect
38. #16840349C22semidirect
39. #16840345C22semidirect
40. #16840320C22semidirect
41. C2×#14519772C22semidirect
42. C2×#14519772C22semidirect
43. C2×#14519772C22semidirect
44. C2×#14519771C22semidirect
45. C2×#14519766C22semidirect
46. C2×#14519765C22semidirect
47. C2×#14519763C22semidirect
48. C2×#14519763C22semidirect
49. #16840273C22semidirect
50. #16840268C22semidirect
51. C2×#14519762C22semidirect
52. C2×#14519762C22semidirect
53. C2×#14519762C22semidirect
54. C2×#14519761C22semidirect
55. C2×#14519761C22semidirect
56. C2×#14519760C22semidirect
57. C2×#14519760C22semidirect
58. C2×#14519759C22semidirect
59. C2×#14519758C22semidirect
60. C2×#14519757C22semidirect
61. C2×#14519756C22semidirect
62. C2×#14519756C22semidirect
63. C2×#14519755C22semidirect
64. C2×#14519755C22semidirect
65. C2×#14519754C22semidirect
66. C2×#14519754C22semidirect
67. C2×#14519753C22semidirect
68. C2×#14519752C22semidirect
69. C2×#14519751C22semidirect
70. C2×#14519751C22semidirect
71. C2×#14519751C22semidirect
72. C2×#14519750C22semidirect
73. C2×#14519749C22semidirect
74. C2×#14519749C22semidirect
75. C2×#14519749C22semidirect
78. C2×#14519747C22semidirect
79. C2×#14519747C22semidirect
80. C2×#14519746C22semidirect
83. C2×#14519745C22semidirect
84. C2×#14519745C22semidirect
85. #120×D61C22semidirect
86. #16840234C22semidirect
87. C2×C4×D244C22semidirect
88. C2×D4×Dic61C22semidirect
89. C2×D4×Dic61C22semidirect
90. C2×#14519739C22semidirect
91. C2×C4×C22⋊D61C22semidirect
92. C2×C4×C22⋊D61C22semidirect
93. C2×C4×C22⋊D61C22semidirect
94. C2×#14519737C22semidirect
95. C2×#14519737C22semidirect
96. C2×#14519737C22semidirect
97. C2×#14519736C22semidirect
98. C2×#14519735C22semidirect
99. C2×#14519734C22semidirect
100. C2×#14519733C22semidirect
103. C22×#11758198C22semidirect
104. C22×#11758198C22semidirect
105. C22×#11758198C22semidirect
106. C22×#11758198C22semidirect
107. C22×#11758198C22semidirect
108. C22×#11758198C22semidirect
109. C22×#11758198C22semidirect
110. C22×#11758198C22semidirect
112. C2×C22⋊C4×D61C22semidirect
113. C2×C22⋊C4×D61C22semidirect
114. C2×C22⋊C4×D61C22semidirect
115. C22×#41×C61C22semidirect
116. C24×C4×C61C22semidirect
117. C61×#525C22semidirect
118. C2×#123×C61C22semidirect
119. C2×C22⋊Q8×C61C22semidirect
120. C2×C22⋊Q8×C61C22semidirect
121. C2×#121×C61C22semidirect
122. C2×#121×C61C22semidirect
123. C2×#120×C61C22semidirect
124. C2×C4×D4×C61C22semidirect
125. C2×C4×D4×C61C22semidirect
126. C2×#117×C61C22semidirect
137. C2×#11758222C23semidirect
139. C2×#11758224C23semidirect
140. C22×Dic122C23semidirect
141. C22×Dic122C23semidirect
145. C22×D244C23semidirect
152. C22×C22⋊D61C23semidirect
157. C2×D4×D61C23semidirect
158. C2×D4×D61C23semidirect
164. C23×Dic61C23semidirect
165. C23×Dic61C23semidirect
169. C22×C4×D61C23semidirect
170. C22×C4×D61C23semidirect
171. #14519772C23semidirect
172. #14519772C23semidirect
173. #14519772C23semidirect
174. #14519771C23semidirect
175. #14519766C23semidirect
176. #14519765C23semidirect
177. #14519763C23semidirect
178. #14519763C23semidirect
179. #14519762C23semidirect
180. #14519762C23semidirect
181. #14519762C23semidirect
182. #14519761C23semidirect
183. #14519761C23semidirect
184. #14519760C23semidirect
185. #14519760C23semidirect
186. #14519759C23semidirect
187. #14519758C23semidirect
188. #14519757C23semidirect
189. #14519756C23semidirect
190. #14519756C23semidirect
191. #14519755C23semidirect
192. #14519755C23semidirect
193. #14519754C23semidirect
194. #14519754C23semidirect
195. #14519753C23semidirect
196. #14519752C23semidirect
197. #14519751C23semidirect
198. #14519751C23semidirect
199. #14519751C23semidirect
200. #14519750C23semidirect
201. #14519749C23semidirect
202. #14519749C23semidirect
203. #14519749C23semidirect
206. #14519747C23semidirect
207. #14519747C23semidirect
208. #14519746C23semidirect
211. #14519745C23semidirect
212. #14519745C23semidirect
213. C4×D244C23semidirect
214. D4×Dic61C23semidirect
215. D4×Dic61C23semidirect
216. #14519739C23semidirect
217. C4×C22⋊D61C23semidirect
218. C4×C22⋊D61C23semidirect
219. C4×C22⋊D61C23semidirect
220. #14519737C23semidirect
221. #14519737C23semidirect
222. #14519737C23semidirect
223. #14519736C23semidirect
224. #14519735C23semidirect
225. #14519734C23semidirect
226. #14519733C23semidirect
227. C2×C4⋊Dic61C23semidirect
228. C2×C4⋊Dic61C23semidirect
229. C2×C4⋊Dic61C23semidirect
230. C2×C4⋊Dic61C23semidirect
231. C2×#11758196C23semidirect
232. C2×#11758196C23semidirect
233. C2×#11758196C23semidirect
234. C2×#11758196C23semidirect
235. C2×#11758196C23semidirect
236. C2×#11758196C23semidirect
240. C2×C22⋊Dic61C23semidirect
241. C2×C22⋊Dic61C23semidirect
258. C2×#11758198C23semidirect
259. C2×#11758198C23semidirect
260. C2×#11758198C23semidirect
261. C2×#11758198C23semidirect
262. C2×#11758198C23semidirect
263. C2×#11758198C23semidirect
264. C2×#11758198C23semidirect
265. C2×#11758198C23semidirect
266. C2×#11758198C23semidirect
267. C2×#11758198C23semidirect
268. C2×#11758198C23semidirect
270. C22⋊C4×D61C23semidirect
271. C22⋊C4×D61C23semidirect
272. C22⋊C4×D61C23semidirect
273. C2×C4×Dic61C23semidirect
274. C2×C4×Dic61C23semidirect
275. C2×C4×Dic61C23semidirect
278. C2×#41×C61C23semidirect
279. C22×Q8×C61C23semidirect
283. C22×D4×C61C23semidirect
291. C23×C4×C61C23semidirect
292. C23×C4×C61C23semidirect
293. #123×C61C23semidirect
294. C22⋊Q8×C61C23semidirect
295. C22⋊Q8×C61C23semidirect
296. #121×C61C23semidirect
297. #121×C61C23semidirect
298. #120×C61C23semidirect
299. C4×D4×C61C23semidirect
300. C4×D4×C61C23semidirect
301. #117×C61C23semidirect
302. C2×C4⋊C4×C61C23semidirect
303. C2×C4⋊C4×C61C23semidirect
304. C2×C4⋊C4×C61C23semidirect
305. C2×C4⋊C4×C61C23semidirect
309. C2×C22⋊C4×C61C23semidirect
310. C2×C22⋊C4×C61C23semidirect
311. C2×C42×C61C23semidirect
338. C23×D61#41semidirect
349. C2×Q8×C61C24semidirect
357. C2×D4×C61C24semidirect
379. C22×C4×C61C24semidirect
393. C2×C22⋊D61C24semidirect
409. C22×Dic61C24semidirect
422. 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
444. C22⋊C4×C61C24semidirect
445. C22⋊C4×C61C24semidirect
446. C42×C61C24semidirect
450. C22⋊Dic61C24semidirect
451. 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
533. C22×D61C2×#41semidirect
663. C2×#525D61semidirect
671. C2×C61#3490semidirect
681. C22×#41C2×D61semidirect
686. C24×C4C2×D61semidirect
710. #525C2×D61semidirect
720. C2×#123C2×D61semidirect
729. C2×C22⋊Q8C2×D61semidirect
730. C2×C22⋊Q8C2×D61semidirect
739. C2×#121C2×D61semidirect
740. C2×#121C2×D61semidirect
751. C2×#120C2×D61semidirect
763. C2×C4×D4C2×D61semidirect
764. C2×C4×D4C2×D61semidirect
769. C2×#117C2×D61semidirect
784. C61C2×#3490semidirect
800. C2×#41C22×D61semidirect
803. C22×Q8C22×D61semidirect
824. C22×D4C22×D61semidirect
844. C23×C4C22×D61semidirect
845. C23×C4C22×D61semidirect
863. #123C22×D61semidirect
872. C22⋊Q8C22×D61semidirect
873. C22⋊Q8C22×D61semidirect
882. #121C22×D61semidirect
883. #121C22×D61semidirect
893. #120C22×D61semidirect
904. C4×D4C22×D61semidirect
905. C4×D4C22×D61semidirect
910. #117C22×D61semidirect
921. C2×C4⋊C4C22×D61semidirect
922. C2×C4⋊C4C22×D61semidirect
923. C2×C4⋊C4C22×D61semidirect
924. C2×C4⋊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#21459502direct (N × H)

Maximal subgroups

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

subgroupindex
#214595022
C2×#168404412
C2×#168404392
C2×#168404362
C2×#168404352
C2×#168404072
C2×#168404042
C2×#168404012
C2×#168404002
C2×#168403872
C2×#168403522
C2×#168403492
C2×#168403452
C2×#168403202
C2×#168402732
C2×#168402682
C2×#120×D612
C2×#168402342
C23×#117581982
C2×C61×#5252
C2×#349061