Finite Group Databasebeta

← C2×#20246402 #26375805

Subgroups — C2×#20246402 #26375805

Order 12032.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093998C211yesmaximal, characteristic
2C22×C4×D188C211yesmaximal, characteristic, complemented
3C22×(C22⋊D47)⋊C4C212yesmaximal, complemented
4C23×C4⋊Dic47C211yesmaximal, characteristic, complemented
5#20246402C2116yesmaximal, direct product factor
6C2×#15689025C211yesmaximal, characteristic, complemented
7C2×#15689021C211yesmaximal, characteristic, complemented
8C2×#15689015C212yesmaximal, complemented
9C2×#15689000C212yesmaximal, complemented
10C2×#15688997C212yesmaximal, complemented
11C2×C4×C4⋊Dic47C211yesmaximal, characteristic, complemented
12C2×C4×C22⋊C4×C47C211yesmaximal, characteristic, complemented
13C23×D188C2211yescharacteristic
14C23×C22⋊D47C2212yes—
15C24×Dic47C2212yes—
16C23×C4×D47C2212yes—
17C2×#13093998C4116yescomplemented
18C2×#13093998C2218yes—
19C2×C4×D188—28no—
20C2×C4×D188C2218yescomplemented
21C2×(C22⋊D47)⋊C4—216no—
22C2×(C22⋊D47)⋊C4C22116yescomplemented
23C22×C4⋊Dic47—28no—
24C22×C4⋊Dic47C2212yes—
25C22×C4⋊Dic47C2211yescharacteristic
26C22×C4⋊Dic47C2211yescharacteristic
27C22×C4⋊Dic47C2211yescharacteristic
28C22×C4⋊Dic47C2218yescomplemented
29C22×Dic47⋊C4C2212yes—
30C22×(C2×D47)⋊C4C2212yes—
31C22×(C2×D47)⋊C4C2212yes—
32C22×(C2×D47)⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2212yes—
34C22×C4×Dic47C2212yes—
35#15689025C2218yescomplemented
36#15689021C2218yescomplemented
37#15689015C22116yescomplemented
38#15689000C22116yescomplemented
39#15688997C22116yescomplemented
40C4×C4⋊Dic47C2218yescomplemented
41C2×C47⋊#95C2212yes—
42C2×C47⋊#95C2212yes—
43C24×C4×C47C2211yescharacteristic
44C22×C22⋊C4×C47C2211yescharacteristic
45C22×C22⋊C4×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C22×C42×C47C2211yescharacteristic
48C4×C22⋊C4×C47C2218yescomplemented
49C2×#95×C47C2211yescharacteristic
50C2×#95×C47C2211yescharacteristic
51C24×D47C2312yes—
52C22×D188—24no—
53C22×D188—24no—
54C22×D188C2×C418yescomplemented
55C22×D188C2314yes—
56C22×C22⋊D47—28no—
57C22×C22⋊D47—28no—
58C22×C22⋊D47C2×C4116yescomplemented
59C22×C22⋊D47C2318yes—
60C23×Dic47—28no—
61C23×Dic47—28no—
62C23×Dic47—44no—
63C23×Dic47C2312yes—
64C23×Dic47C2318yes—
65C23×Dic47C2312yes—
66C23×Dic47C2312yes—
67C22×C4×D47—28no—
68C22×C4×D47—28no—
69C22×C4×D47—44no—
70C22×C4×D47C2318yes—
71#13093998C2×C4164yescomplemented
72C4×D188—232no—
73(C22⋊D47)⋊C4—264no—
74C2×C4⋊Dic47—24no—
75C2×C4⋊Dic47—28no—
76C2×C4⋊Dic47—232no—
77C2×C4⋊Dic47C2×C418yescomplemented
78C2×C4⋊Dic47D418yescomplemented
79C2×C4⋊Dic47C2318yes—
80C2×C4⋊Dic47C2314yes—
81C2×C4⋊Dic47C2314yes—
82C2×C4⋊Dic47C2314yes—
83C2×Dic47⋊C4—28no—
84C2×Dic47⋊C4C2318yes—
85C2×(C2×D47)⋊C4—28no—
86C2×(C2×D47)⋊C4—28no—
87C2×(C2×D47)⋊C4—44no—
88C2×(C2×D47)⋊C4C2×C4116yescomplemented
89C2×(C2×D47)⋊C4C2318yes—
90C2×(C2×D47)⋊C4C2318yes—
91C2×(C2×D47)⋊C4C2318yes—
92C2×(C2×D47)⋊C4C2318yes—
93C2×C4×Dic47—28no—
94C2×C4×Dic47C2318yes—
95C47⋊#95C2318yes—
96C47⋊#95C2318yes—
97C25×C47C2311yescharacteristic
98C23×C4×C47—24no—
99C23×C4×C47—24no—
100C23×C4×C47C2×C418yescomplemented
101C23×C4×C47C2311yescharacteristic
102C23×C4×C47C2311yescharacteristic
103C23×C4×C47C2311yescharacteristic
104C23×C4×C47C2314yes—
105C23×C4×C47C2311yescharacteristic
106C23×C4×C47C2311yescharacteristic
107C23×C4×C47C2311yescharacteristic
108C2×C22⋊C4×C47—24no—
109C2×C22⋊C4×C47D418yescomplemented
110C2×C22⋊C4×C47C2314yes—
111C2×C22⋊C4×C47C2314yes—
112C2×C42×C47—24no—
113C2×C42×C47—24no—
114C2×C42×C47C2314yes—
115C2×C42×C47C2314yes—
116#95×C47C2314yes—
117#95×C47C2314yes—
118C24×C47—22no—
119C24×C47—22no—
120C24×C47—22no—
121C24×C47—22no—
122C24×C47C22×C414yes—
123C24×C47C2×D414yes—
124C24×C47#4114yes—
125C24×C47C2412yes—
126C24×C47C2411yescharacteristic
127C23×D47—24no—
128C23×D47—24no—
129C23×D47—24no—
130C23×D47—24no—
131C23×D47—24no—
132C23×D47—24no—
133C23×D47C22×C418yes—
134C23×D47C2414yes—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—22no—
138C22×C4×C47—22no—
139C22×C4×C47—22no—
140C22×C4×C47—22no—
141C22×C4×C47—232no—
142C22×C4×C47—28no—
143C22×C4×C47—28no—
144C22×C4×C47—22no—
145C22×C4×C47—22no—
146C22×C4×C47—22no—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—22no—
150C22×C4×C47C22×C414yes—
151C22×C4×C47C22×C414yes—
152C22×C4×C47C22×C4116yescomplemented
153C22×C4×C47C2×D414yes—
154C22×C4×C47C2×D414yes—
155C22×C4×C47C2×D414yes—
156C22×C4×C47#4114yes—
157C22×C4×C47C2412yes—
158C22×C4×C47C2412yes—
159C22×C4×C47C2412yes—
160C22×C4×C47C2412yes—
161C22×C4×C47C2412yes—
162C22×C4×C47C2412yes—
163C2×C22⋊D47—264no—
164C2×C22⋊D47—216no—
165C2×C22⋊D47—216no—
166C2×C22⋊D47C22×C4132yescomplemented
167C22×Dic47—24no—
168C22×Dic47—24no—
169C22×Dic47—24no—
170C22×Dic47—24no—
171C22×Dic47—24no—
172C22×Dic47—24no—
173C22×Dic47—216no—
174C22×Dic47—24no—
175C22×Dic47—216no—
176C22×Dic47—48no—
177C22×Dic47—432no—
178C22×Dic47C22×C418yes—
179C22×Dic47C2×D418yes—
180C22×Dic47C2414yes—
181C22×Dic47C2414yes—
182C22×Dic47C2414yes—
183C2×D188—232no—
184C2×D188—28no—
185C2×D188—28no—
186C2×D188C22×C4116yescomplemented
187C2×C4×D47—216no—
188C2×C4×D47—216no—
189C2×C4×D47—48no—
190C2×C4×D47—432no—
191C22⋊C4×C47—28no—
192C22⋊C4×C47C2×D4116yescomplemented
193C42×C47—28no—
194C42×C47—28no—
195(C2×D47)⋊C4—216no—
196(C2×D47)⋊C4—216no—
197(C2×D47)⋊C4—48no—
198(C2×D47)⋊C4C22×C4132yescomplemented
199C4⋊Dic47—28no—
200C4⋊Dic47—216no—
201C4⋊Dic47C22×C4116yescomplemented
202C4⋊Dic47C2×D4116yescomplemented
203Dic47⋊C4—216no—
204C4×Dic47—216no—
205C23×C47—28no—
206C23×C47—28no—
207C23×C47—28no—
208C23×C47—28no—
209C23×C47—28no—
210C23×C47—28no—
211C23×C47—22no—
212C23×C47—22no—
213C23×C47—22no—
214C23×C47—22no—
215C23×C47C4×D4116yescomplemented
216C23×C47C23×C414yes—
217C23×C47C23×C412yes—
218C23×C47C22×D412yes—
219C23×C47C22×D414yes—
220C23×C47C22×D412yes—
221C23×C47C2×#4112yes—
222C23×C47C2×#4114yes—
223C23×C47C2×#4112yes—
224C23×C47H(5,𝔽2)12yes—
225C23×C472−1+412yes—
226C23×C47C2511yescharacteristic
227C22×D47—216no—
228C22×D47—216no—
229C22×D47—216no—
230C22×D47—24no—
231C22×D47—24no—
232C22×D47—24no—
233C22×D47—24no—
234C22×D47—24no—
235C22×D47—24no—
236C22×D47—48no—
237C22×D47—48no—
238C22×D47—48no—
239C22×D47—48no—
240C22×D47C23×C418yes—
241C2×C4×C47—28no—
242C2×C4×C47—28no—
243C2×C4×C47—28no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—232no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—44no—
258C2×C4×C47—44no—
259C2×C4×C47C4×D4116yescomplemented
260C2×C4×C47C23×C414yes—
261C2×C4×C47C23×C414yes—
262C2×C4×C47C22×D414yes—
263C2×C4×C47C22×D414yes—
264C2×C4×C47C22×D414yes—
265C2×C4×C47C2×#4114yes—
266C22⋊D47—264no—
267C2×Dic47—216no—
268C2×Dic47—216no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—24no—
272C2×Dic47—24no—
273C2×Dic47—24no—
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—432no—
277C2×Dic47—48no—
278C2×Dic47C23×C418yes—
279C2×Dic47C22×D418yes—
280D188—232no—
281C4×D47—432no—
282C2×#2361—471nomaximal, Sylow
283C22×C47—232no—
284C22×C47—24no—
285C22×C47—24no—
286C22×C47—24no—
287C22×C47—24no—
288C22×C47—24no—
289C22×C47—24no—
290C22×C47C2×C4×D414yes—
291C22×C47C2×C4×D414yes—
292C22×C47C2×C4×D418yescomplemented
293C22×C47#52014yes—
294C22×C47D4214yes—
295C22×C47#54714yes—
296C22×C47#54814yes—
297C22×C47#55314yes—
298C22×C47C24×C411yescharacteristic
299C22×C47C23×D411yescharacteristic
300C22×C47C23×D411yescharacteristic
301C22×C47C22×#4111yescharacteristic
302C22×C47C22×#4111yescharacteristic
303C22×C47C2×H(5,𝔽2)11yescharacteristic
304C22×C47C2×2−1+411yescharacteristic
305C2×D47—28no—
306C2×D47—28no—
307C2×D47—28no—
308C2×D47—432no—
309C2×D47—44no—
310C2×D47—44no—
311C2×D47—44no—
312C2×D47—44no—
313C4×C47—24no—
314C4×C47—24no—
315C4×C47—24no—
316C4×C47—42no—
317C4×C47—42no—
318C4×C47C2×C4×D418yescomplemented
319Dic47—28no—
320Dic47—28no—
321Dic47—44no—
322C22×#121—471no—
323C22×C4×D4—471no—
324C22×C4×D4—472no—
325C23×C4⋊C4—471no—
326#2361—4716no—
327C2×#390—471no—
328C2×#389—471no—
329C2×#388—472no—
330C2×#386—472no—
331C2×#385—472no—
332C2×C4×C4⋊C4—471no—
333C2×C4×C22⋊C4D4711yescharacteristic, complemented
334C2×C47—28no—
335C2×C47#236118yescomplemented
336C2×C47C22×C4×D411yescharacteristic
337C2×C47C22×C4×D411yescharacteristic
338C2×C47C2×#52011yescharacteristic
339C2×C47C2×D4211yescharacteristic
340C2×C47C2×#54711yescharacteristic
341C2×C47C2×#54811yescharacteristic
342C2×C47C2×#55311yescharacteristic
343D47—48no—
344C23×D4—472no—
345C23×D4—471no—
346C24×C4—472no—
347C24×C4—472no—
348C24×C4C2×D4711yescharacteristic
349C2×#121—4716no—
350C2×#121—478no—
351C2×C4×D4—4716no—
352C2×C4×D4—478no—
353C2×C4×D4—948no—
354C2×C4×D4—9416no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—478no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—472no—
361C22×C4⋊C4—948no—
362C22×C22⋊C4—472no—
363C22×C22⋊C4—472no—
364C22×C22⋊C4—472no—
365C22×C22⋊C4—472no—
366C22×C22⋊C4C2×D4711yescharacteristic
367C22×C22⋊C4C2×D4711yescharacteristic
368C22×C42—472no—
369C22×C42C2×D4711yescharacteristic
370C22×C42C2×D4711yescharacteristic
371#390—478no—
372#389—478no—
373#388—4716no—
374#386—4716no—
375#385—4716no—
376C4×C4⋊C4—478no—
377C4×C22⋊C4C2×D4718yescomplemented
378C2×#95—472no—
379C2×#95—472no—
380C2×#95C2×D4711yescharacteristic
381C2×#95C2×D4711yescharacteristic
382C47C2×#236111yescharacteristic, complemented, Sylow
383C25—472no—
384C25C22×D4711yescharacteristic
385C22×D4—4716no—
386C22×D4—478no—
387C22×D4—478no—
388C22×D4—474no—
389C22×D4—948no—
390C22×D4—948no—
391C22×D4—944no—
392C22×D4—944no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—472no—
396C23×C4—472no—
397C23×C4—472no—
398C23×C4—478no—
399C23×C4—478no—
400C23×C4—948no—
401C23×C4—948no—
402C23×C4—948no—
403C23×C4—948no—
404C23×C4—1884no—
405C23×C4—1884no—
406C23×C4C4×D4718yescomplemented
407C23×C4C22×D4711yescharacteristic
408C23×C4C22×D4711yescharacteristic
409C23×C4C22×D4711yescharacteristic
410C23×C4C22×D4714yes—
411C23×C4C22×D4711yescharacteristic
412C23×C4C22×D4711yescharacteristic
413C23×C4C22×D4711yescharacteristic
414#121—4764no—
415C4×D4—9432no—
416C4×D4—9464no—
417C2×C4⋊C4—478no—
418C2×C4⋊C4—478no—
419C2×C4⋊C4—474no—
420C2×C4⋊C4—474no—
421C2×C4⋊C4—478no—
422C2×C4⋊C4—474no—
423C2×C4⋊C4—478no—
424C2×C4⋊C4—9432no—
425C2×C4⋊C4—948no—
426C2×C4⋊C4—948no—
427C2×C4⋊C4—944no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—4716no—
430C2×C22⋊C4—478no—
431C2×C22⋊C4—478no—
432C2×C22⋊C4—478no—
433C2×C22⋊C4—478no—
434C2×C22⋊C4—948no—
435C2×C22⋊C4—948no—
436C2×C22⋊C4—1884no—
437C2×C22⋊C4D18818yescomplemented
438C2×C22⋊C4C22×D4714yes—
439C2×C22⋊C4C22×D4714yes—
440C2×C42—24no—
441C2×C42—24no—
442C2×C42—478no—
443C2×C42—948no—
444C2×C42C22×D4714yes—
445C2×C42C22×D4714yes—
446#95—478no—
447#95—478no—
448#95C22×D4714yes—
449#95C22×D4714yes—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—478no—
455C24—474no—
456C24—944no—
457C24—944no—
458C24—944no—
459C24—944no—
460C24—944no—
461C24—944no—
462C24C2×C4×D4714yes—
463C24C2×D18814yes—
464C24#1062535014yes—
465C24C23×D4712yes—
466C24C23×D4711yescharacteristic
467C2×D4—4732no—
468C2×D4—4716no—
469C2×D4—9464no—
470C2×D4—9416no—
471C2×D4—9416no—
472C2×D4—9432no—
473C2×D4—948no—
474C2×D4—948no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—232no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—478no—
491C22×C4—478no—
492C22×C4—474no—
493C22×C4—474no—
494C22×C4—474no—
495C22×C4—9416no—
496C22×C4—9416no—
497C22×C4—944no—
498C22×C4—944no—
499C22×C4—944no—
500C22×C4—944no—
501C22×C4—944no—
502C22×C4—944no—
503C22×C4—9416no—
504C22×C4—944no—
505C22×C4—9416no—
506C22×C4—1888no—
507C22×C4—18832no—
508C22×C4—1888no—
509C22×C4—18832no—
510C22×C4C2×C4×D4714yes—
511C22×C4C2×C4×D4714yes—
512C22×C4C2×C4×D47116yescomplemented
513C22×C4C2×D18814yes—
514C22×C4C2×D18814yes—
515C22×C4D4×D4714yes—
516C22×C4#1062535214yes—
517C22×C4C23×D4712yes—
518C22×C4C23×D4712yes—
519C22×C4C23×D4712yes—
520C22×C4C23×D4712yes—
521C22×C4C23×D4712yes—
522C22×C4C23×D4712yes—
523C4⋊C4—4716no—
524C4⋊C4—4716no—
525C4⋊C4—9416no—
526C4⋊C4—948no—
527C4⋊C4—9416no—
528C22⋊C4—28no—
529C22⋊C4—4732no—
530C22⋊C4—9416no—
531C22⋊C4—9416no—
532C22⋊C4—1888no—
533C22⋊C4C2×D188116yescomplemented
534C42—28no—
535C42—28no—
536C42—9416no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—28no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—478no—
548C23—9416no—
549C23—9416no—
550C23—9416no—
551C23—944no—
552C23—944no—
553C23—944no—
554C23—944no—
555C23—944no—
556C23—944no—
557C23—1888no—
558C23—1888no—
559C23—1888no—
560C23—1888no—
561C23C4×D188116yescomplemented
562C23C22×C4×D4714yes—
563C23C22×C4×D4712yes—
564C23C2×D4×D4712yes—
565C23C22×D18814yes—
566C23C22×D18812yes—
567C23C2×#1062535212yes—
568C23C2×#1062535014yes—
569C23C2×#1062535012yes—
570C23#1309407012yes—
571C23#1309407112yes—
572C23C24×D4711yescharacteristic
573D4—9464no—
574D4—9432no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—232no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—478no—
594C2×C4—478no—
595C2×C4—9416no—
596C2×C4—9416no—
597C2×C4—944no—
598C2×C4—944no—
599C2×C4—944no—
600C2×C4—944no—
601C2×C4—944no—
602C2×C4—944no—
603C2×C4—944no—
604C2×C4—18832no—
605C2×C4—18832no—
606C2×C4—1888no—
607C2×C4(C22⋊D47)⋊C4116yescomplemented
608C2×C4C22×C4×D4714yes—
609C2×C4C22×C4×D4714yes—
610C2×C4C2×D4×D4714yes—
611C2×C4C22×D18814yes—
612C2×C4C22×D18814yes—
613C2×C4C2×#1062535214yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—232no—
620C22—24no—
621C22—948no—
622C22—948no—
623C22—948no—
624C22—1884no—
625C22—1884no—
626C22—1884no—
627C22—18832no—
628C22—1884no—
629C22C2×(C22⋊D47)⋊C414yes—
630C22C2×C4×D18814yes—
631C22C2×C4×D18818yescomplemented
632C22#1568960314yes—
633C22D4×D18814yes—
634C22#1568977714yes—
635C22#1568978214yes—
636C22#1568981914yes—
637C22C23×C4×D4711yescharacteristic
638C22C22×D4×D4711yescharacteristic
639C22C23×D18811yescharacteristic
640C22C22×#1062535211yescharacteristic
641C22C22×#1062535011yescharacteristic
642C22C2×#1309407011yescharacteristic
643C22C2×#1309407111yescharacteristic
644C4—24no—
645C4—24no—
646C4—24no—
647C4—42no—
648C4—42no—
649C4—948no—
650C4—948no—
651C4—1884no—
652C4C2×(C22⋊D47)⋊C418yescomplemented
653C2—28no—
654C2—1888no—
655C2#2024640218yesdirect product factor
656C2C22×(C22⋊D47)⋊C411yescharacteristic
657C2C22×C4×D18811yescharacteristic
658C2C2×#1568960311yescharacteristic
659C2C2×D4×D18811yescharacteristic
660C2C2×#1568977711yescharacteristic
661C2C2×#1568978211yescharacteristic
662C2C2×#1568981911yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C4×C22⋊C4×C47C2
socleC24×C47C24
prime radicalC22×#13093998C2
cosocleC23×C47C25
hypercenterC2×C4×C22⋊C4D47
hypocenterC47C2×#2361
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×D188C2semidirect
3. C22×(C22⋊D47)⋊C4C2semidirect
4. C23×C4⋊Dic47C2semidirect
5. #20246402C2direct (N × H)
6. C2×#15689025C2semidirect
7. C2×#15689021C2semidirect
8. C2×#15689015C2semidirect
9. C2×#15689000C2semidirect
10. C2×#15688997C2semidirect
11. C2×C4×C4⋊Dic47C2semidirect
12. C2×C4×C22⋊C4×C47C2semidirect
17. C2×#13093998C4semidirect
20. C2×C4×D188C22semidirect
22. C2×(C22⋊D47)⋊C4C22semidirect
28. C22×C4⋊Dic47C22semidirect
35. #15689025C22semidirect
36. #15689021C22semidirect
37. #15689015C22semidirect
38. #15689000C22semidirect
39. #15688997C22semidirect
40. C4×C4⋊Dic47C22semidirect
48. C4×C22⋊C4×C47C22semidirect
54. C22×D188C2×C4semidirect
58. C22×C22⋊D47C2×C4semidirect
71. #13093998C2×C4semidirect
77. C2×C4⋊Dic47C2×C4semidirect
78. C2×C4⋊Dic47D4semidirect
88. C2×(C2×D47)⋊C4C2×C4semidirect
100. C23×C4×C47C2×C4semidirect
109. C2×C22⋊C4×C47D4semidirect
152. C22×C4×C47C22×C4semidirect
166. C2×C22⋊D47C22×C4semidirect
186. C2×D188C22×C4semidirect
192. C22⋊C4×C47C2×D4semidirect
198. (C2×D47)⋊C4C22×C4semidirect
201. C4⋊Dic47C22×C4semidirect
202. C4⋊Dic47C2×D4semidirect
215. C23×C47C4×D4semidirect
259. C2×C4×C47C4×D4semidirect
292. C22×C47C2×C4×D4semidirect
318. C4×C47C2×C4×D4semidirect
333. C2×C4×C22⋊C4D47semidirect
335. C2×C47#2361semidirect
377. C4×C22⋊C4C2×D47semidirect
382. C47C2×#2361semidirect
406. C23×C4C4×D47semidirect
437. C2×C22⋊C4D188semidirect
512. C22×C4C2×C4×D47semidirect
533. C22⋊C4C2×D188semidirect
561. C23C4×D188semidirect
607. C2×C4(C22⋊D47)⋊C4semidirect
631. C22C2×C4×D188semidirect
652. C4C2×(C22⋊D47)⋊C4semidirect
655. C2#20246402direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939982
C22×C4×D1882
C22×(C22⋊D47)⋊C42
C23×C4⋊Dic472
#202464022
C2×#156890252
C2×#156890212
C2×#156890152
C2×#156890002
C2×#156889972
C2×C4×C4⋊Dic472
C2×C4×C22⋊C4×C472
C2×#236147