Finite Group Databasebeta

← C2×#21459973 #30587132

Subgroups — C2×#21459973 #30587132

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#21459973C2132yesmaximal, direct product factor
2C2×#16840504C211yesmaximal, characteristic, complemented
3C2×#16840500C212yesmaximal, complemented
4C2×#16840499C211yesmaximal, characteristic, complemented
5C2×#16840442C211yesmaximal, characteristic, complemented
6C2×#16840436C212yesmaximal, complemented
7C2×#16840401C212yesmaximal, complemented
8C2×#16840400C212yesmaximal, complemented
9C2×#16840399C212yesmaximal, complemented
10C2×#16840397C211yesmaximal, characteristic, complemented
11C2×#16840394C212yesmaximal, complemented
12C2×#16840347C212yesmaximal, complemented
13C2×#16840346C212yesmaximal, complemented
14C2×#16840344C212yesmaximal, complemented
15C2×#16840325C212yesmaximal, complemented
16C2×#16840321C211yesmaximal, characteristic, complemented
17C2×#16840320C212yesmaximal, complemented
18C22×#14519745C211yesmaximal, characteristic, complemented
19C2×#120×D61C212yesmaximal, complemented
20C2×C61×#535C211yesmaximal, characteristic, complemented
21C25×D61C2211yescharacteristic, complemented
22C22×#11758224C2212yescomplemented
23C23×C22⋊D61C2212yescomplemented
24C23×C22⋊D61C2211yescharacteristic, complemented
25C22×D4×D61C2212yescomplemented
26C22×D4×D61C2212yescomplemented
27C22×D4×D61C2212yescomplemented
28C22×D4×D61C2212yescomplemented
29#16840504C22116yescomplemented
30#16840500C22132yescomplemented
31#16840499C22116yescomplemented
32#16840442C22116yescomplemented
33#16840436C22132yescomplemented
34#16840401C22132yescomplemented
35#16840400C22132yescomplemented
36#16840399C22132yescomplemented
37#16840397C22116yescomplemented
38#16840394C22132yescomplemented
39#16840347C22132yescomplemented
40#16840346C22132yescomplemented
41#16840344C22132yescomplemented
42#16840325C22132yescomplemented
43#16840321C22116yescomplemented
44#16840320C22132yescomplemented
45C2×#14519773C2212yescomplemented
46C2×#14519772C2212yescomplemented
47C2×#14519771C2212yescomplemented
48C2×#14519770C2212yescomplemented
49C2×#14519770C2212yescomplemented
50C2×#14519766C2212yescomplemented
51C2×#14519765C2212yescomplemented
52C2×#14519764C2212yescomplemented
53C2×#14519763C2212yescomplemented
54C2×#14519763C2212yescomplemented
55C2×#14519762C2212yescomplemented
56C2×#14519762C2212yescomplemented
57C2×#14519761C2212yescomplemented
58C2×#14519760C2212yescomplemented
59C2×#14519760C2212yescomplemented
60C2×#14519759C2212yescomplemented
61C2×#14519759C2212yescomplemented
62C2×#14519758C2212yescomplemented
63C2×#14519758C2211yescharacteristic, complemented
64C2×#14519758C2211yescharacteristic, complemented
65C2×#14519755C2212yescomplemented
66C2×#14519754C2212yescomplemented
67C2×#14519753C2212yescomplemented
68C2×#14519751C2212yescomplemented
69C2×#14519750C2212yescomplemented
70C2×#14519750C2212yescomplemented
71C2×#14519749C2212yescomplemented
72C2×#14519749C2212yescomplemented
73C2×#14519749C2212yescomplemented
74C2×#14519749C2212yescomplemented
75C2×#14519749C2212yescomplemented
76C2×#14519749C2212yescomplemented
77C2×#14519749C2212yescomplemented
78C2×#14519749C2212yescomplemented
79C2×#14519748C2212yescomplemented
80C2×#14519748C2212yescomplemented
81C2×#14519747C2212yes—
82C2×#14519747C2212yescomplemented
83C2×#14519747C2212yescomplemented
84C2×#14519747C2212yescomplemented
85C2×#14519746C2212yescomplemented
86C2×#14519745C2211yescharacteristic
87C2×#14519745C2212yescomplemented
88C2×#14519745C2211yescharacteristic, complemented
89C2×#14519745C2212yescomplemented
90C2×#14519745C2212yescomplemented
91C2×#14519745C2212yescomplemented
92C2×#14519745C2212yescomplemented
93C2×#14519745C2211yescharacteristic, complemented
94C2×#14519745C2211yescharacteristic, complemented
95C2×#14519745C2211yescharacteristic, complemented
96C2×#14519745C2211yescharacteristic, complemented
97C2×#14519745C2212yescomplemented
98C2×#14519745C2212yescomplemented
99C2×#14519745C22116yescomplemented
100#120×D61C22132yescomplemented
101C2×C4×D244C2212yescomplemented
102C2×D4×Dic61C2212yescomplemented
103C2×C4×C22⋊D61C2212yescomplemented
104C2×#14519737C2212yescomplemented
105C2×#14519737C2212yescomplemented
106C2×#14519737C2212yescomplemented
107C2×#14519734C2212yescomplemented
108C22×C22⋊Dic61C2211yescharacteristic, complemented
109C22×C22⋊Dic61C2211yescharacteristic, complemented
110C22×#11758198C2212yescomplemented
111C22×#11758198C2212yescomplemented
112C2×C22⋊C4×D61C2212yescomplemented
113C2×C22⋊C4×D61C2212yescomplemented
114C2×C22⋊C4×D61C2212yescomplemented
115C22×#41×C61C2211yescharacteristic, complemented
116C23×D4×C61C2211yescharacteristic, complemented
117C61×#535C22116yescomplemented
118C2×#127×C61C2211yescharacteristic, complemented
119C2×#127×C61C2211yescharacteristic, complemented
120C2×#124×C61C2211yescharacteristic, complemented
121C2×#124×C61C2211yescharacteristic, complemented
122C2×#121×C61C2212yescomplemented
123C2×#121×C61C2212yescomplemented
124C2×#120×C61C2212yescomplemented
125C2×#120×C61C2212yescomplemented
126C2×#117×C61C2211yescharacteristic, complemented
127C24×D61—48no—
128C24×D61—44no—
129C24×D61C2311yescharacteristic
130C24×D61C2312yes—
131C24×D61C2312yes—
132C24×D61C2312yes—
133C24×D61C2311yescharacteristic
134C24×D61C2318yescomplemented
135C24×D61C2311yescharacteristic, complemented
136C2×#11758224—48no—
137C2×#11758224C23116yescomplemented
138C22×Dic122C2312yescomplemented
139C22×D244C2312yes—
140C22×D244C2312yes—
141C22×D244C2312yes—
142C22×C22⋊D61—48no—
143C22×C22⋊D61—44no—
144C22×C22⋊D61C2312yes—
145C22×C22⋊D61C2312yes—
146C22×C22⋊D61C2312yes—
147C22×C22⋊D61C2312yes—
148C22×C22⋊D61C2312yes—
149C22×C22⋊D61C2312yes—
150C22×C22⋊D61C2312yes—
151C22×C22⋊D61C2312yes—
152C22×C22⋊D61C2312yes—
153C22×C22⋊D61C2312yes—
154C22×C22⋊D61C23116yescomplemented
155C22×C22⋊D61C2312yescomplemented
156C22×C22⋊D61C2312yescomplemented
157C22×C22⋊D61C2318yescomplemented
158C2×D4×D61—48no—
159C2×D4×D61—48no—
160C2×D4×D61—48no—
161C2×D4×D61—48no—
162C2×D4×D61C23116yescomplemented
163C2×D4×D61C23116yescomplemented
164C2×D4×D61C23116yescomplemented
165C2×D4×D61C23116yescomplemented
166C23×Dic61C2312yes—
167C23×Dic61C2312yescomplemented
168C23×Dic61C2312yescomplemented
169C23×Dic61C2311yescharacteristic, complemented
170C22×C4×D61C2312yes—
171C22×C4×D61C2312yes—
172C22×C4×D61C2312yes—
173C22×C4×D61C2312yescomplemented
174#14519773C23116yescomplemented
175#14519772C23116yescomplemented
176#14519771C23116yescomplemented
177#14519770C23116yescomplemented
178#14519770C23116yescomplemented
179#14519766C23116yescomplemented
180#14519765C23116yescomplemented
181#14519764C23116yescomplemented
182#14519763C23116yescomplemented
183#14519763C23116yescomplemented
184#14519762C23116yescomplemented
185#14519762C23116yescomplemented
186#14519761C23116yescomplemented
187#14519760C23116yescomplemented
188#14519760C23116yescomplemented
189#14519759C23116yescomplemented
190#14519759C23116yescomplemented
191#14519758C2318yescomplemented
192#14519758C23116yescomplemented
193#14519758C2318yescomplemented
194#14519755C23116yescomplemented
195#14519754C23116yescomplemented
196#14519753C23116yescomplemented
197#14519751C23116yescomplemented
198#14519750C23116yescomplemented
199#14519750C23116yescomplemented
200#14519749C23116yescomplemented
201#14519749C23116yescomplemented
202#14519749C23116yescomplemented
203#14519749C23116yescomplemented
204#14519749C23116yescomplemented
205#14519749C23116yescomplemented
206#14519749C23116yescomplemented
207#14519749C23116yescomplemented
208#14519748C23116yescomplemented
209#14519748C23116yescomplemented
210#14519747C23116yes—
211#14519747C23116yescomplemented
212#14519747C23116yescomplemented
213#14519747C23116yescomplemented
214#14519746C23116yescomplemented
215#14519745C2318yes—
216#14519745C23116yescomplemented
217#14519745C2318yescomplemented
218#14519745C2318yescomplemented
219#14519745C23116yescomplemented
220#14519745C23116yescomplemented
221#14519745C23116yescomplemented
222#14519745C23116yescomplemented
223#14519745C2318yescomplemented
224#14519745C23116yescomplemented
225#14519745C23116yescomplemented
226#14519745C2318yescomplemented
227#14519745C2318yescomplemented
228C4×D244C23116yescomplemented
229D4×Dic61C23116yescomplemented
230C4×C22⋊D61C23116yescomplemented
231#14519737C23116yescomplemented
232#14519737C23116yescomplemented
233#14519737C23116yescomplemented
234#14519734C23116yescomplemented
235C2×C4⋊Dic61C2312yescomplemented
236C2×C4⋊Dic61C2312yescomplemented
237C2×#11758196C2312yescomplemented
238C2×#11758196C2312yescomplemented
239C2×#11758196C2312yescomplemented
240C2×#11758196C2312yescomplemented
241C2×#11758196C2312yescomplemented
242C2×#11758196C2312yescomplemented
243C2×C22⋊Dic61C2312yes—
244C2×C22⋊Dic61C2312yes—
245C2×C22⋊Dic61C2312yes—
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2312yes—
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2318yescomplemented
250C2×C22⋊Dic61C2318yescomplemented
251C2×C22⋊Dic61C2311yescharacteristic, complemented
252C2×C22⋊Dic61C2311yescharacteristic, complemented
253C2×C22⋊Dic61C2312yescomplemented
254C2×C22⋊Dic61C2312yescomplemented
255C2×#11758198C2312yes—
256C2×#11758198C2312yes—
257C2×#11758198C2312yes—
258C2×#11758198C2312yes—
259C2×#11758198C2312yes—
260C2×#11758198C2312yes—
261C2×#11758198C2312yes—
262C2×#11758198C2312yes—
263C2×#11758198C2312yes—
264C2×#11758198C2312yes—
265C2×#11758198C23116yescomplemented
266C2×#11758198C23116yescomplemented
267C2×#11758198C2312yescomplemented
268C2×#11758198C2312yescomplemented
269C2×#11758198C2312yescomplemented
270C2×#11758198C2312yescomplemented
271C22⋊C4×D61C23116yescomplemented
272C22⋊C4×D61C23116yescomplemented
273C22⋊C4×D61C23116yescomplemented
274C2×C4×Dic61C2312yescomplemented
275C2×C4×Dic61C2312yescomplemented
276C25×C61C2311yescharacteristic
277C25×C61C2311yescharacteristic
278C2×#41×C61—44no—
279C2×#41×C61C2318yescomplemented
280C22×Q8×C61C2311yescharacteristic, complemented
281C22×D4×C61—44no—
282C22×D4×C61C2312yes—
283C22×D4×C61C2311yescharacteristic
284C22×D4×C61C2311yescharacteristic
285C22×D4×C61C2312yes—
286C22×D4×C61C2312yes—
287C22×D4×C61C2311yescharacteristic
288C22×D4×C61C2311yescharacteristic
289C22×D4×C61C2318yescomplemented
290C22×D4×C61C2311yescharacteristic, complemented
291C22×D4×C61C2312yescomplemented
292C22×D4×C61C2312yescomplemented
293C23×C4×C61C2311yescharacteristic
294C23×C4×C61C2312yescomplemented
295#127×C61C2318yescomplemented
296#127×C61C2318yescomplemented
297#124×C61C2318yescomplemented
298#124×C61C2318yescomplemented
299#121×C61C23116yescomplemented
300#121×C61C23116yescomplemented
301#120×C61C23116yescomplemented
302#120×C61C23116yescomplemented
303#117×C61C2318yescomplemented
304C2×C4⋊C4×C61C2312yescomplemented
305C2×C22⋊C4×C61C2312yes—
306C2×C22⋊C4×C61C2312yes—
307C2×C22⋊C4×C61C2312yes—
308C2×C22⋊C4×C61C2312yescomplemented
309C2×C22⋊C4×C61C2312yescomplemented
310C2×C42×C61C2311yescharacteristic, complemented
311C2×C42×C61C2311yescharacteristic, complemented
312C24×C61—24no—
313C24×C61—24no—
314C24×C61—44no—
315C24×C61—44no—
316C24×C61C2411yescharacteristic
317C24×C61C2411yescharacteristic
318C24×C61C2412yes—
319C24×C61C2411yescharacteristic
320C24×C61C2411yescharacteristic
321C24×C61C2411yescharacteristic
322C24×C61C2414yes—
323C24×C61C2414yes—
324C23×D61—28no—
325C23×D61—28no—
326C23×D61—28no—
327C23×D61—28no—
328C23×D61—28no—
329C23×D61—432no—
330C23×D61—42no—
331C23×D61—44no—
332C23×D61—44no—
333C23×D61—44no—
334C23×D61—42no—
335C23×D61—44no—
336C23×D61—416no—
337C23×D61—44no—
338C23×D61—44no—
339C23×D61—44no—
340C23×D61—42no—
341C23×D61—464no—
342C23×D61C2412yes—
343C23×D61C2412yes—
344C23×D61C2414yes—
345C23×D61C2418yes—
346C23×D61C2412yes—
347C23×D61C2418yes—
348C23×D61C2418yes—
349C23×D61C2414yes—
350C23×D61C2414yescomplemented
351#41×C61—416no—
352C2×Q8×C61—42no—
353C2×Q8×C61C2414yescomplemented
354C2×D4×C61—28no—
355C2×D4×C61—44no—
356C2×D4×C61—44no—
357C2×D4×C61—44no—
358C2×D4×C61—44no—
359C2×D4×C61—42no—
360C2×D4×C61—42no—
361C2×D4×C61—42no—
362C2×D4×C61—42no—
363C2×D4×C61—416no—
364C2×D4×C61—42no—
365C2×D4×C61C2418yes—
366C2×D4×C61C2418yes—
367C2×D4×C61C2418yes—
368C2×D4×C61C2414yes—
369C2×D4×C61C2414yes—
370C2×D4×C61C2414yes—
371C2×D4×C61C2414yes—
372C2×D4×C61C2418yescomplemented
373C2×D4×C61C2418yescomplemented
374C2×D4×C61C2414yescomplemented
375C22×C4×C61—24no—
376C22×C4×C61—44no—
377C22×C4×C61C2412yes—
378C22×C4×C61C2412yes—
379C22×C4×C61C2412yes—
380C22×C4×C61C2411yescharacteristic
381C22×C4×C61C2411yescharacteristic
382C22×C4×C61C2414yes—
383C22×C4×C61C2418yescomplemented
384C2×C22⋊D61—28no—
385C2×C22⋊D61—28no—
386C2×C22⋊D61—28no—
387C2×C22⋊D61—28no—
388C2×C22⋊D61—44no—
389C2×C22⋊D61—44no—
390C2×C22⋊D61—44no—
391C2×C22⋊D61—44no—
392C2×C22⋊D61—44no—
393C2×C22⋊D61—44no—
394C2×C22⋊D61—44no—
395C2×C22⋊D61—44no—
396C2×C22⋊D61—432no—
397C2×C22⋊D61—416no—
398C2×C22⋊D61C2418yes—
399C2×C22⋊D61C2418yes—
400C2×C22⋊D61C2418yes—
401C2×C22⋊D61C2418yes—
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—44no—
411C22×Dic61—42no—
412C22×Dic61—44no—
413C22×Dic61—44no—
414C22×Dic61C2412yes—
415C22×Dic61C2412yes—
416C22×Dic61C2412yes—
417C22×Dic61C2412yes—
418C22×Dic61C2412yes—
419C22×Dic61C2418yes—
420C22×Dic61C2414yescomplemented
421C22×Dic61C2418yescomplemented
422C22×Dic61C2418yescomplemented
423#11758224—432no—
424D4×D61—432no—
425D4×D61—432no—
426D4×D61—432no—
427D4×D61—432no—
428C2×D244—28no—
429C2×D244—44no—
430C2×D244—44no—
431C2×D244C2418yes—
432C2×D244C2418yes—
433C2×D244C2418yes—
434C2×C4×D61—28no—
435C2×C4×D61—44no—
436C2×C4×D61—44no—
437C2×C4×D61—44no—
438C2×C4×D61C2418yes—
439C2×C4×D61C2418yes—
440C2×C4×D61C2418yes—
441C2×C4×D61C2418yescomplemented
442C2×Dic122—44no—
443C2×Dic122C2418yescomplemented
444C4⋊C4×C61C2418yescomplemented
445C22⋊C4×C61C2418yes—
446C22⋊C4×C61C2418yes—
447C22⋊C4×C61C2418yes—
448C22⋊C4×C61C2418yescomplemented
449C22⋊C4×C61C2418yescomplemented
450C42×C61C2414yescomplemented
451C42×C61C2414yescomplemented
452C22⋊Dic61C2418yes—
453C22⋊Dic61C2418yes—
454C22⋊Dic61C2418yes—
455C22⋊Dic61C2414yes—
456C22⋊Dic61C2418yes—
457C22⋊Dic61C2414yes—
458C22⋊Dic61C2414yescomplemented
459C22⋊Dic61C2414yescomplemented
460C22⋊Dic61C2418yescomplemented
461C22⋊Dic61C2418yescomplemented
462#11758198C2418yes—
463#11758198C2418yes—
464#11758198C2418yes—
465#11758198C2418yes—
466#11758198C2418yes—
467#11758198C2418yes—
468#11758198C2418yes—
469#11758198C2418yes—
470#11758198C2418yes—
471#11758198C2418yes—
472#11758198C2418yescomplemented
473#11758198C2418yescomplemented
474#11758198C2418yescomplemented
475#11758198C2418yescomplemented
476C4⋊Dic61C2418yescomplemented
477C4⋊Dic61C2418yescomplemented
478#11758196C2418yescomplemented
479#11758196C2418yescomplemented
480#11758196C2418yescomplemented
481#11758196C2418yescomplemented
482#11758196C2418yescomplemented
483#11758196C2418yescomplemented
484C4×Dic61C2418yescomplemented
485C4×Dic61C2418yescomplemented
486C23×C61—24no—
487C23×C61—24no—
488C23×C61—24no—
489C23×C61—22no—
490C23×C61—24no—
491C23×C61—24no—
492C23×C61—22no—
493C23×C61—24no—
494C23×C61—24no—
495C23×C61—24no—
496C23×C61—28no—
497C23×C61—22no—
498C23×C61—22no—
499C23×C61—28no—
500C23×C61—48no—
501C23×C61—48no—
502C23×C61—416no—
503C23×C61—88no—
504C23×C61H(5,𝔽2)14yes—
505C23×C61C2512yes—
506C23×C61C2512yes—
507C23×C61C2512yes—
508C23×C61C2514yes—
509C23×C61C2512yes—
510C23×C61C2512yes—
511C23×C61C2511yescharacteristic
512C22×D61—24no—
513C22×D61—24no—
514C22×D61—24no—
515C22×D61—24no—
516C22×D61—24no—
517C22×D61—24no—
518C22×D61—24no—
519C22×D61—216no—
520C22×D61—24no—
521C22×D61—216no—
522C22×D61—216no—
523C22×D61—216no—
524C22×D61—216no—
525C22×D61—44no—
526C22×D61—48no—
527C22×D61—48no—
528C22×D61—48no—
529C22×D61—44no—
530C22×D61—48no—
531C22×D61—416no—
532C22×D61—48no—
533C22×D61—48no—
534C22×D61—48no—
535C22×D61—44no—
536C22×D61—432no—
537C22×D61—432no—
538C22×D61—4128no—
539C22×D61—416no—
540C22×D61—816no—
541C22×D61—88no—
542C22×D61H(5,𝔽2)18yes—
543C22×D61C2514yes—
544C22×D61C2514yes—
545C22×D61C2514yes—
546Q8×C61—44no—
547D4×C61—216no—
548D4×C61—48no—
549D4×C61—48no—
550D4×C61—48no—
551D4×C61—48no—
552D4×C61—44no—
553D4×C61—44no—
554D4×C61—44no—
555D4×C61—44no—
556D4×C61—44no—
557C2×C4×C61—24no—
558C2×C4×C61—24no—
559C2×C4×C61—24no—
560C2×C4×C61—22no—
561C2×C4×C61—22no—
562C2×C4×C61—28no—
563C2×C4×C61—48no—
564C2×C4×C61C2514yes—
565C2×C4×C61C2514yes—
566C2×C4×C61C2514yes—
567C2×C4×C61C2512yes—
568C2×C4×C61C2512yes—
569C22⋊D61—216no—
570C22⋊D61—216no—
571C22⋊D61—216no—
572C22⋊D61—216no—
573C22⋊D61—48no—
574C22⋊D61—48no—
575C22⋊D61—48no—
576C22⋊D61—48no—
577C22⋊D61—48no—
578C22⋊D61—48no—
579C22⋊D61—48no—
580C22⋊D61—48no—
581C2×Dic61—24no—
582C2×Dic61—24no—
583C2×Dic61—24no—
584C2×Dic61—24no—
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—
595D244—216no—
596D244—48no—
597D244—48no—
598C4×D61—216no—
599C4×D61—48no—
600C4×D61—48no—
601C4×D61—48no—
602Dic122—48no—
603C2×#3532—611nomaximal, Sylow
604C22×C61—24no—
605C22×C61—28no—
606C22×C61—24no—
607C22×C61—24no—
608C22×C61—22no—
609C22×C61—24no—
610C22×C61—24no—
611C22×C61—22no—
612C22×C61—24no—
613C22×C61—24no—
614C22×C61—24no—
615C22×C61—22no—
616C22×C61—22no—
617C22×C61—416no—
618C22×C61—44no—
619C22×C61—44no—
620C22×C61—48no—
621C22×C61—44no—
622C22×C61—44no—
623C22×C61—88no—
624C22×C61C2×H(5,𝔽2)14yes—
625C22×C61C2×H(5,𝔽2)14yes—
626C22×C61C2×H(5,𝔽2)12yes—
627C22×C61C2611yescharacteristic
628C2×D61—24no—
629C2×D61—24no—
630C2×D61—216no—
631C2×D61—24no—
632C2×D61—24no—
633C2×D61—24no—
634C2×D61—24no—
635C2×D61—24no—
636C2×D61—24no—
637C2×D61—416no—
638C2×D61—432no—
639C2×D61—432no—
640C2×D61—416no—
641C2×D61—48no—
642C2×D61—48no—
643C2×D61—816no—
644C2×D61—88no—
645C2×D61C2×H(5,𝔽2)18yes—
646C4×C61—24no—
647C4×C61—24no—
648C4×C61—24no—
649C4×C61—22no—
650C4×C61—22no—
651Dic61—24no—
652Dic61—24no—
653Dic61—24no—
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—611no—
666C2×D42—612no—
667C2×#538—612no—
668C2×#538—612no—
669C2×#538—612no—
670C2×#535—612no—
671C2×#535D6111yescharacteristic, complemented
672C2×#534—611no—
673C2×#534—612no—
674C22×#120—611no—
675C22×#120—612no—
676C2×C61—24no—
677C2×C61—42no—
678C2×C61—42no—
679C2×C61—44no—
680C2×C61—42no—
681C2×C61—42no—
682C2×C61#353214yescomplemented
683C2×C61C22×H(5,𝔽2)12yes—
684C2×C61C22×H(5,𝔽2)11yescharacteristic
685D61—28no—
686D61—44no—
687D61—44no—
688C26—611no—
689C22×#41—612no—
690C22×#41C2×D6111yescharacteristic, complemented
691C23×D4—612no—
692C23×D4—611no—
693C23×D4—612no—
694C23×D4—612no—
695C23×D4—612no—
696C23×D4—612no—
697C23×D4C2×D6111yescharacteristic, complemented
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—6116no—
707D42—6132no—
708#538—6132no—
709#538—6132no—
710#538—6132no—
711#535—6132no—
712#535C2×D61116yescomplemented
713#534—6116no—
714#534—6132no—
715C2×#127—612no—
716C2×#127C2×D6111yescharacteristic, complemented
717C2×#127C2×D6111yescharacteristic, complemented
718C2×#126—612no—
719C2×#126—612no—
720C2×#126—612no—
721C2×#126—612no—
722C2×#124—612no—
723C2×#124—612no—
724C2×#124—612no—
725C2×#124—612no—
726C2×#124—612no—
727C2×#124C2×D6111yescharacteristic, complemented
728C2×#124C2×D6111yescharacteristic, complemented
729C2×#123—611no—
730C2×#123—611no—
731C2×#123—612no—
732C2×#123—612no—
733C2×#123—612no—
734C2×#123—612no—
735C2×#123—612no—
736C2×#123—612no—
737C2×#123—612no—
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—612no—
758C2×#120—611no—
759C2×#120—612no—
760C2×#120—612no—
761C2×#120—612no—
762C2×#120—612no—
763C2×#120—611no—
764C2×#120—611no—
765C2×#120—612no—
766C2×#120—611no—
767C2×#120—611no—
768C2×#120—611no—
769C2×#120—6116no—
770C2×#120—612no—
771C2×#120—612no—
772C2×#120—6132no—
773C2×#120—612no—
774C2×#120—612no—
775C2×#120—612no—
776C2×#120—612no—
777C2×#120C2×D6112yescomplemented
778C2×#120C2×D6112yescomplemented
779C2×C4×D4—612no—
780C2×C4×D4—612no—
781C2×C4×D4—612no—
782C2×C4×D4—612no—
783C2×C4×D4—612no—
784C2×C4×D4—612no—
785C2×#117—612no—
786C2×#117C2×D6111yescharacteristic, complemented
787C22×C22⋊C4—611no—
788C22×C22⋊C4—611no—
789C22×C22⋊C4—612no—
790C22×C22⋊C4—612no—
791C22×C22⋊C4—612no—
792C22×C22⋊C4—612no—
793C22×C22⋊C4—612no—
794C61C2×#353211yescharacteristic, complemented, Sylow
795C25—611no—
796C25—612no—
797C25—612no—
798C25—612no—
799C25—611no—
800C25—618no—
801C25—611no—
802C25—2444no—
803C25—2448no—
804C25C22×D6111yescharacteristic
805C25C22×D6111yescharacteristic
806C2×#41—44no—
807C2×#41—6116no—
808C2×#41—2448no—
809C2×#41C22×D6118yescomplemented
810C22×Q8—612no—
811C22×Q8C22×D6111yescharacteristic, complemented
812C22×D4—44no—
813C22×D4—612no—
814C22×D4—612no—
815C22×D4—612no—
816C22×D4—612no—
817C22×D4—612no—
818C22×D4—612no—
819C22×D4—612no—
820C22×D4—612no—
821C22×D4—612no—
822C22×D4—612no—
823C22×D4—6116no—
824C22×D4—612no—
825C22×D4—612no—
826C22×D4—618no—
827C22×D4—6116no—
828C22×D4—6116no—
829C22×D4—6116no—
830C22×D4—6116no—
831C22×D4—612no—
832C22×D4—612no—
833C22×D4—612no—
834C22×D4—2448no—
835C22×D4—2448no—
836C22×D4—2448no—
837C22×D4—2448no—
838C22×D4—2444no—
839C22×D4—2448no—
840C22×D4C22×D6112yes—
841C22×D4C22×D6111yescharacteristic
842C22×D4C22×D6111yescharacteristic
843C22×D4C22×D6111yescharacteristic
844C22×D4C22×D6111yescharacteristic
845C22×D4C22×D6112yes—
846C22×D4C22×D6112yes—
847C22×D4C22×D6118yescomplemented
848C22×D4C22×D6111yescharacteristic, complemented
849C22×D4C22×D6112yescomplemented
850C22×D4C22×D6112yescomplemented
851C23×C4—612no—
852C23×C4—612no—
853C23×C4—612no—
854C23×C4—611no—
855C23×C4—612no—
856C23×C4—612no—
857C23×C4—612no—
858C23×C4—612no—
859C23×C4C22×D6111yescharacteristic
860C23×C4C22×D6112yescomplemented
861#127—6116no—
862#127C22×D6118yescomplemented
863#127C22×D6118yescomplemented
864#126—6116no—
865#126—6116no—
866#126—6116no—
867#126—6116no—
868#124—6116no—
869#124—6116no—
870#124—6116no—
871#124—6116no—
872#124—6116no—
873#124C22×D6118yescomplemented
874#124C22×D6118yescomplemented
875#123—618no—
876#123—618no—
877#123—6116no—
878#123—6116no—
879#123—6116no—
880#123—6116no—
881#123—6116no—
882#123—6116no—
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—6116no—
904#120—6116no—
905#120—6116no—
906#120—6116no—
907#120—618no—
908#120—6116no—
909#120—618no—
910#120—618no—
911#120—6116no—
912#120—618no—
913#120—618no—
914#120—618no—
915#120—6116no—
916#120—6116no—
917#120—6116no—
918#120—6116no—
919#120—6116no—
920#120—6116no—
921#120C22×D61116yescomplemented
922#120C22×D61116yescomplemented
923C4×D4—6116no—
924C4×D4—6116no—
925C4×D4—6116no—
926C4×D4—6116no—
927C4×D4—6116no—
928C4×D4—6116no—
929#117—6116no—
930#117C22×D6118yescomplemented
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—611no—
942C2×C22⋊C4—612no—
943C2×C22⋊C4—612no—
944C2×C22⋊C4—612no—
945C2×C22⋊C4—611no—
946C2×C22⋊C4—618no—
947C2×C22⋊C4—611no—
948C2×C22⋊C4—611no—
949C2×C22⋊C4—618no—
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—612no—
957C2×C22⋊C4—612no—
958C2×C22⋊C4—612no—
959C2×C22⋊C4—612no—
960C2×C22⋊C4—612no—
961C2×C22⋊C4—612no—
962C2×C22⋊C4—6116no—
963C2×C22⋊C4—612no—
964C2×C22⋊C4—612no—
965C2×C22⋊C4—612no—
966C2×C22⋊C4—612no—
967C2×C22⋊C4—6116no—
968C2×C22⋊C4—6116no—
969C2×C22⋊C4—6116no—
970C2×C22⋊C4—6116no—
971C2×C22⋊C4C22×D6112yes—
972C2×C22⋊C4C22×D6112yes—
973C2×C22⋊C4C22×D6112yes—
974C2×C22⋊C4C22×D6112yescomplemented
975C2×C22⋊C4C22×D6112yescomplemented
976C2×C42—612no—
977C2×C42—612no—
978C2×C42C22×D6111yescharacteristic, complemented
979C2×C42C22×D6111yescharacteristic, complemented
980C24—24no—
981C24—24no—
982C24—44no—
983C24—44no—
984C24—612no—
985C24—612no—
986C24—612no—
987C24—614no—
988C24—618no—
989C24—618no—
990C24—618no—
991C24—614no—
992C24—614no—
993C24—1228no—
994C24—1228no—
995C24—1228no—
996C24—1228no—
997C24—1228no—
998C24—2444no—
999C24—2444no—
1000C24—2444no—
1001C24—2442no—
1002C24—2444no—
1003C24—2444no—
1004C24—2444no—
1005C24—2442no—
1006C24—2444no—
1007C24—2442no—
1008C24—24416no—
1009C24—24432no—
1010C24—24464no—
1011C24C23×D6111yescharacteristic
1012C24C23×D6111yescharacteristic
1013C24C23×D6111yescharacteristic
1014C24C23×D6112yes—
1015C24C23×D6111yescharacteristic
1016C24C23×D6111yescharacteristic
1017C24C23×D6114yes—
1018C24C23×D6114yes—
1019#41—416no—
1020#41—24432no—
1021C2×Q8—42no—
1022C2×Q8—618no—
1023C2×Q8—2444no—
1024C2×Q8C23×D6114yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—618no—
1037C2×D4—618no—
1038C2×D4—618no—
1039C2×D4—618no—
1040C2×D4—618no—
1041C2×D4—618no—
1042C2×D4—618no—
1043C2×D4—618no—
1044C2×D4—618no—
1045C2×D4—618no—
1046C2×D4—618no—
1047C2×D4—618no—
1048C2×D4—618no—
1049C2×D4—618no—
1050C2×D4—618no—
1051C2×D4—1228no—
1052C2×D4—1228no—
1053C2×D4—1228no—
1054C2×D4—1228no—
1055C2×D4—1228no—
1056C2×D4—2444no—
1057C2×D4—2444no—
1058C2×D4—24432no—
1059C2×D4—2444no—
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—24432no—
1069C2×D4—24432no—
1070C2×D4—24416no—
1071C2×D4—24432no—
1072C2×D4C23×D6118yes—
1073C2×D4C23×D6114yes—
1074C2×D4C23×D6114yes—
1075C2×D4C23×D6114yes—
1076C2×D4C23×D6114yes—
1077C2×D4C23×D6118yes—
1078C2×D4C23×D6118yes—
1079C2×D4C23×D6114yescomplemented
1080C2×D4C23×D6118yescomplemented
1081C2×D4C23×D6118yescomplemented
1082C22×C4—24no—
1083C22×C4—44no—
1084C22×C4—612no—
1085C22×C4—612no—
1086C22×C4—612no—
1087C22×C4—612no—
1088C22×C4—612no—
1089C22×C4—618no—
1090C22×C4—618no—
1091C22×C4—618no—
1092C22×C4—614no—
1093C22×C4—618no—
1094C22×C4—618no—
1095C22×C4—618no—
1096C22×C4—618no—
1097C22×C4—1228no—
1098C22×C4—2444no—
1099C22×C4—2444no—
1100C22×C4—2444no—
1101C22×C4—2444no—
1102C22×C4—2442no—
1103C22×C4—2444no—
1104C22×C4—2444no—
1105C22×C4C23×D6114yes—
1106C22×C4C23×D6112yes—
1107C22×C4C23×D6112yes—
1108C22×C4C23×D6111yescharacteristic
1109C22×C4C23×D6112yes—
1110C22×C4C23×D6111yescharacteristic
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—614no—
1123C22⋊C4—618no—
1124C22⋊C4—618no—
1125C22⋊C4—618no—
1126C22⋊C4—614no—
1127C22⋊C4—614no—
1128C22⋊C4—614no—
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×D6118yes—
1147C22⋊C4C23×D6118yes—
1148C22⋊C4C23×D6118yescomplemented
1149C22⋊C4C23×D6118yescomplemented
1150C42—618no—
1151C42—618no—
1152C42C23×D6114yescomplemented
1153C42C23×D6114yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—22no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—48no—
1170C23—416no—
1171C23—88no—
1172C23—618no—
1173C23—614no—
1174C23—614no—
1175C23—614no—
1176C23—12216no—
1177C23—12216no—
1178C23—12216no—
1179C23—12216no—
1180C23—1224no—
1181C23—1224no—
1182C23—1224no—
1183C23—1224no—
1184C23—1224no—
1185C23—1224no—
1186C23—1224no—
1187C23—12216no—
1188C23—1224no—
1189C23—48816no—
1190C23—4888no—
1191C23—2448no—
1192C23—2448no—
1193C23—2448no—
1194C23—2444no—
1195C23—2448no—
1196C23—2448no—
1197C23—2448no—
1198C23—2444no—
1199C23—2448no—
1200C23—2444no—
1201C23—24432no—
1202C23—24416no—
1203C23—24432no—
1204C23—244128no—
1205C23—24416no—
1206C23#1451982214yes—
1207C23C24×D6112yes—
1208C23C24×D6112yes—
1209C23C24×D6112yes—
1210C23C24×D6114yes—
1211C23C24×D6112yes—
1212C23C24×D6112yes—
1213C23C24×D6111yescharacteristic
1214Q8—44no—
1215Q8—2448no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—44no—
1225D4—48no—
1226D4—12216no—
1227D4—12216no—
1228D4—12216no—
1229D4—12216no—
1230D4—12216no—
1231D4—2448no—
1232D4—2448no—
1233D4—2448no—
1234D4—2448no—
1235D4—2448no—
1236D4—2448no—
1237D4—2448no—
1238D4—2448no—
1239D4—2448no—
1240D4—2448no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—28no—
1246C2×C4—24no—
1247C2×C4—48no—
1248C2×C4—614no—
1249C2×C4—614no—
1250C2×C4—614no—
1251C2×C4—614no—
1252C2×C4—614no—
1253C2×C4—12216no—
1254C2×C4—1224no—
1255C2×C4—1224no—
1256C2×C4—1224no—
1257C2×C4—1224no—
1258C2×C4—1224no—
1259C2×C4—2448no—
1260C2×C4—2448no—
1261C2×C4—2448no—
1262C2×C4—2448no—
1263C2×C4—2444no—
1264C2×C4—2448no—
1265C2×C4—2448no—
1266C2×C4C24×D6114yes—
1267C2×C4C24×D6114yes—
1268C2×C4C24×D6112yes—
1269C2×C4C24×D6114yes—
1270C2×C4C24×D6112yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—618no—
1292C22—12216no—
1293C22—1224no—
1294C22—1224no—
1295C22—1224no—
1296C22—1224no—
1297C22—1224no—
1298C22—1224no—
1299C22—1224no—
1300C22—1224no—
1301C22—48816no—
1302C22—4888no—
1303C22—24432no—
1304C22—24416no—
1305C22—24432no—
1306C22—24416no—
1307C22—2448no—
1308C22—2448no—
1309C22H(5,𝔽2)×D6114yes—
1310C22C2×#1451982214yes—
1311C22C2×#1451982212yes—
1312C22C25×D6111yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—1224no—
1319C4—1224no—
1320C4—1224no—
1321C4—1224no—
1322C4—1224no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—42no—
1328C2—44no—
1329C2—1228no—
1330C2—2444no—
1331C2—2444no—
1332C2#2145997314yesdirect product factor
1333C2C2×H(5,𝔽2)×D6112yes—
1334C2C22×#1451982211yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#535C2
socleC23×C61C25
hypercenterC2×#535D61
hypocenterC61C2×#3532
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #21459973C2direct (N × H)
2. C2×#16840504C2semidirect
3. C2×#16840500C2semidirect
4. C2×#16840499C2semidirect
5. C2×#16840442C2semidirect
6. C2×#16840436C2semidirect
7. C2×#16840401C2semidirect
8. C2×#16840400C2semidirect
9. C2×#16840399C2semidirect
10. C2×#16840397C2semidirect
11. C2×#16840394C2semidirect
12. C2×#16840347C2semidirect
13. C2×#16840346C2semidirect
14. C2×#16840344C2semidirect
15. C2×#16840325C2semidirect
16. C2×#16840321C2semidirect
17. C2×#16840320C2semidirect
18. C22×#14519745C2semidirect
19. C2×#120×D61C2semidirect
20. C2×C61×#535C2semidirect
21. C25×D61C22semidirect
22. C22×#11758224C22semidirect
23. C23×C22⋊D61C22semidirect
24. C23×C22⋊D61C22semidirect
25. C22×D4×D61C22semidirect
26. C22×D4×D61C22semidirect
27. C22×D4×D61C22semidirect
28. C22×D4×D61C22semidirect
29. #16840504C22semidirect
30. #16840500C22semidirect
31. #16840499C22semidirect
32. #16840442C22semidirect
33. #16840436C22semidirect
34. #16840401C22semidirect
35. #16840400C22semidirect
36. #16840399C22semidirect
37. #16840397C22semidirect
38. #16840394C22semidirect
39. #16840347C22semidirect
40. #16840346C22semidirect
41. #16840344C22semidirect
42. #16840325C22semidirect
43. #16840321C22semidirect
44. #16840320C22semidirect
45. C2×#14519773C22semidirect
46. C2×#14519772C22semidirect
47. C2×#14519771C22semidirect
48. C2×#14519770C22semidirect
49. C2×#14519770C22semidirect
50. C2×#14519766C22semidirect
51. C2×#14519765C22semidirect
52. C2×#14519764C22semidirect
53. C2×#14519763C22semidirect
54. C2×#14519763C22semidirect
55. C2×#14519762C22semidirect
56. C2×#14519762C22semidirect
57. C2×#14519761C22semidirect
58. C2×#14519760C22semidirect
59. C2×#14519760C22semidirect
60. C2×#14519759C22semidirect
61. C2×#14519759C22semidirect
62. C2×#14519758C22semidirect
63. C2×#14519758C22semidirect
64. C2×#14519758C22semidirect
65. C2×#14519755C22semidirect
66. C2×#14519754C22semidirect
67. C2×#14519753C22semidirect
68. C2×#14519751C22semidirect
69. C2×#14519750C22semidirect
70. C2×#14519750C22semidirect
71. C2×#14519749C22semidirect
72. C2×#14519749C22semidirect
73. C2×#14519749C22semidirect
74. C2×#14519749C22semidirect
75. C2×#14519749C22semidirect
76. C2×#14519749C22semidirect
77. C2×#14519749C22semidirect
78. C2×#14519749C22semidirect
79. C2×#14519748C22semidirect
80. C2×#14519748C22semidirect
82. C2×#14519747C22semidirect
83. C2×#14519747C22semidirect
84. C2×#14519747C22semidirect
85. C2×#14519746C22semidirect
87. C2×#14519745C22semidirect
88. C2×#14519745C22semidirect
89. C2×#14519745C22semidirect
90. C2×#14519745C22semidirect
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. #120×D61C22semidirect
101. C2×C4×D244C22semidirect
102. C2×D4×Dic61C22semidirect
103. C2×C4×C22⋊D61C22semidirect
104. C2×#14519737C22semidirect
105. C2×#14519737C22semidirect
106. C2×#14519737C22semidirect
107. C2×#14519734C22semidirect
108. C22×C22⋊Dic61C22semidirect
109. C22×C22⋊Dic61C22semidirect
110. C22×#11758198C22semidirect
111. C22×#11758198C22semidirect
112. C2×C22⋊C4×D61C22semidirect
113. C2×C22⋊C4×D61C22semidirect
114. C2×C22⋊C4×D61C22semidirect
115. C22×#41×C61C22semidirect
116. C23×D4×C61C22semidirect
117. C61×#535C22semidirect
118. C2×#127×C61C22semidirect
119. C2×#127×C61C22semidirect
120. C2×#124×C61C22semidirect
121. C2×#124×C61C22semidirect
122. C2×#121×C61C22semidirect
123. C2×#121×C61C22semidirect
124. C2×#120×C61C22semidirect
125. C2×#120×C61C22semidirect
126. C2×#117×C61C22semidirect
134. C24×D61C23semidirect
135. C24×D61C23semidirect
137. C2×#11758224C23semidirect
138. C22×Dic122C23semidirect
154. C22×C22⋊D61C23semidirect
155. C22×C22⋊D61C23semidirect
156. C22×C22⋊D61C23semidirect
157. C22×C22⋊D61C23semidirect
162. C2×D4×D61C23semidirect
163. C2×D4×D61C23semidirect
164. C2×D4×D61C23semidirect
165. C2×D4×D61C23semidirect
167. C23×Dic61C23semidirect
168. C23×Dic61C23semidirect
169. C23×Dic61C23semidirect
173. C22×C4×D61C23semidirect
174. #14519773C23semidirect
175. #14519772C23semidirect
176. #14519771C23semidirect
177. #14519770C23semidirect
178. #14519770C23semidirect
179. #14519766C23semidirect
180. #14519765C23semidirect
181. #14519764C23semidirect
182. #14519763C23semidirect
183. #14519763C23semidirect
184. #14519762C23semidirect
185. #14519762C23semidirect
186. #14519761C23semidirect
187. #14519760C23semidirect
188. #14519760C23semidirect
189. #14519759C23semidirect
190. #14519759C23semidirect
191. #14519758C23semidirect
192. #14519758C23semidirect
193. #14519758C23semidirect
194. #14519755C23semidirect
195. #14519754C23semidirect
196. #14519753C23semidirect
197. #14519751C23semidirect
198. #14519750C23semidirect
199. #14519750C23semidirect
200. #14519749C23semidirect
201. #14519749C23semidirect
202. #14519749C23semidirect
203. #14519749C23semidirect
204. #14519749C23semidirect
205. #14519749C23semidirect
206. #14519749C23semidirect
207. #14519749C23semidirect
208. #14519748C23semidirect
209. #14519748C23semidirect
211. #14519747C23semidirect
212. #14519747C23semidirect
213. #14519747C23semidirect
214. #14519746C23semidirect
216. #14519745C23semidirect
217. #14519745C23semidirect
218. #14519745C23semidirect
219. #14519745C23semidirect
220. #14519745C23semidirect
221. #14519745C23semidirect
222. #14519745C23semidirect
223. #14519745C23semidirect
224. #14519745C23semidirect
225. #14519745C23semidirect
226. #14519745C23semidirect
227. #14519745C23semidirect
228. C4×D244C23semidirect
229. D4×Dic61C23semidirect
230. C4×C22⋊D61C23semidirect
231. #14519737C23semidirect
232. #14519737C23semidirect
233. #14519737C23semidirect
234. #14519734C23semidirect
235. C2×C4⋊Dic61C23semidirect
236. C2×C4⋊Dic61C23semidirect
237. C2×#11758196C23semidirect
238. C2×#11758196C23semidirect
239. C2×#11758196C23semidirect
240. C2×#11758196C23semidirect
241. C2×#11758196C23semidirect
242. C2×#11758196C23semidirect
249. C2×C22⋊Dic61C23semidirect
250. C2×C22⋊Dic61C23semidirect
251. C2×C22⋊Dic61C23semidirect
252. C2×C22⋊Dic61C23semidirect
253. C2×C22⋊Dic61C23semidirect
254. C2×C22⋊Dic61C23semidirect
265. C2×#11758198C23semidirect
266. C2×#11758198C23semidirect
267. C2×#11758198C23semidirect
268. C2×#11758198C23semidirect
269. C2×#11758198C23semidirect
270. C2×#11758198C23semidirect
271. C22⋊C4×D61C23semidirect
272. C22⋊C4×D61C23semidirect
273. C22⋊C4×D61C23semidirect
274. C2×C4×Dic61C23semidirect
275. C2×C4×Dic61C23semidirect
279. C2×#41×C61C23semidirect
280. C22×Q8×C61C23semidirect
289. C22×D4×C61C23semidirect
290. C22×D4×C61C23semidirect
291. C22×D4×C61C23semidirect
292. C22×D4×C61C23semidirect
294. C23×C4×C61C23semidirect
295. #127×C61C23semidirect
296. #127×C61C23semidirect
297. #124×C61C23semidirect
298. #124×C61C23semidirect
299. #121×C61C23semidirect
300. #121×C61C23semidirect
301. #120×C61C23semidirect
302. #120×C61C23semidirect
303. #117×C61C23semidirect
304. C2×C4⋊C4×C61C23semidirect
308. C2×C22⋊C4×C61C23semidirect
309. C2×C22⋊C4×C61C23semidirect
310. C2×C42×C61C23semidirect
311. C2×C42×C61C23semidirect
350. C23×D61C24semidirect
353. C2×Q8×C61C24semidirect
372. C2×D4×C61C24semidirect
373. C2×D4×C61C24semidirect
374. C2×D4×C61C24semidirect
383. C22×C4×C61C24semidirect
408. C2×C22⋊D61C24semidirect
409. C2×C22⋊D61C24semidirect
420. C22×Dic61C24semidirect
421. C22×Dic61C24semidirect
422. C22×Dic61C24semidirect
441. C2×C4×D61C24semidirect
443. C2×Dic122C24semidirect
444. C4⋊C4×C61C24semidirect
448. C22⋊C4×C61C24semidirect
449. C22⋊C4×C61C24semidirect
450. C42×C61C24semidirect
451. C42×C61C24semidirect
458. C22⋊Dic61C24semidirect
459. C22⋊Dic61C24semidirect
460. C22⋊Dic61C24semidirect
461. C22⋊Dic61C24semidirect
472. #11758198C24semidirect
473. #11758198C24semidirect
474. #11758198C24semidirect
475. #11758198C24semidirect
476. C4⋊Dic61C24semidirect
477. C4⋊Dic61C24semidirect
478. #11758196C24semidirect
479. #11758196C24semidirect
480. #11758196C24semidirect
481. #11758196C24semidirect
482. #11758196C24semidirect
483. #11758196C24semidirect
484. C4×Dic61C24semidirect
485. C4×Dic61C24semidirect
671. C2×#535D61semidirect
682. C2×C61#3532semidirect
690. C22×#41C2×D61semidirect
697. C23×D4C2×D61semidirect
712. #535C2×D61semidirect
716. C2×#127C2×D61semidirect
717. C2×#127C2×D61semidirect
727. C2×#124C2×D61semidirect
728. C2×#124C2×D61semidirect
755. C2×#121C2×D61semidirect
756. C2×#121C2×D61semidirect
777. C2×#120C2×D61semidirect
778. C2×#120C2×D61semidirect
786. C2×#117C2×D61semidirect
794. C61C2×#3532semidirect
809. C2×#41C22×D61semidirect
811. C22×Q8C22×D61semidirect
847. C22×D4C22×D61semidirect
848. C22×D4C22×D61semidirect
849. C22×D4C22×D61semidirect
850. C22×D4C22×D61semidirect
860. C23×C4C22×D61semidirect
862. #127C22×D61semidirect
863. #127C22×D61semidirect
873. #124C22×D61semidirect
874. #124C22×D61semidirect
901. #121C22×D61semidirect
902. #121C22×D61semidirect
921. #120C22×D61semidirect
922. #120C22×D61semidirect
930. #117C22×D61semidirect
939. C2×C4⋊C4C22×D61semidirect
974. C2×C22⋊C4C22×D61semidirect
975. C2×C22⋊C4C22×D61semidirect
978. C2×C42C22×D61semidirect
979. C2×C42C22×D61semidirect
1024. C2×Q8C23×D61semidirect
1079. C2×D4C23×D61semidirect
1080. C2×D4C23×D61semidirect
1081. C2×D4C23×D61semidirect
1111. C22×C4C23×D61semidirect
1120. C4⋊C4C23×D61semidirect
1148. C22⋊C4C23×D61semidirect
1149. C22⋊C4C23×D61semidirect
1152. C42C23×D61semidirect
1153. C42C23×D61semidirect
1332. C2#21459973direct (N × H)

Maximal subgroups

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

subgroupindex
#214599732
C2×#168405042
C2×#168405002
C2×#168404992
C2×#168404422
C2×#168404362
C2×#168404012
C2×#168404002
C2×#168403992
C2×#168403972
C2×#168403942
C2×#168403472
C2×#168403462
C2×#168403442
C2×#168403252
C2×#168403212
C2×#168403202
C22×#145197452
C2×#120×D612
C2×C61×#5352
C2×#353261