Finite Group Databasebeta

← C2×#20243853 #26218100

Subgroups — C2×#20243853 #26218100

Order 12032.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic
2C22×#13094000C211yesmaximal, characteristic
3C22×#13093943C211yesmaximal, characteristic, complemented
4C2×#15689086C211yesmaximal, characteristic
5#20243853C218yesmaximal, direct product factor
6C2×#15688891C211yesmaximal, characteristic, complemented
7C2×#15688891C211yesmaximal, characteristic, complemented
8C22×#101×C47C211yesmaximal, characteristic, complemented
9C23×C4×D47C2211yescharacteristic
10C22×#10625329C2211yescharacteristic
11C22×#10625329C2211yescharacteristic
12C22×#10625324—21no—
13C2×M16×D47—22no—
14C2×M16×D47—24no—
15C2×M16×D47—24no—
16C2×M16×D47C2214yes—
17C22×C8×D47—21no—
18C2×#13094000—21no—
19C2×#13094000—21no—
20C2×#13094000—22no—
21C2×#13094000—21no—
22C2×#13094000—22no—
23C2×#13094000—21no—
24C2×#13094000C414yes—
25C2×#13094000C2214yes—
26C22×C4⋊Dic47C2211yescharacteristic
27C22×Dic47⋊C4C412yes—
28C22×(C2×D47)⋊C4C412yes—
29C2×#13093943—24no—
30C2×#13093943C2214yescomplemented
31#15689086—22no—
32#15689086C2214yes—
33C2×(C2×D47)⋊C8—21no—
34C2×(C2×D47)⋊C8—21no—
35#15688891C2214yescomplemented
36#15688891C2214yescomplemented
37C23×Q8×C47C2211yescharacteristic
38C22×M16×C47C2211yescharacteristic
39C22×M16×C47C2211yescharacteristic
40C2×#101×C47—24no—
41C2×#101×C47C2214yescomplemented
42C24×D47C2×C411yescharacteristic
43C23×Dic47C2×C411yescharacteristic
44C23×Dic47C2×C412yes—
45C22×C4×D47—22no—
46C22×C4×D47—22no—
47C22×C4×D47—22no—
48C22×C4×D47—22no—
49C22×C4×D47C2×C412yes—
50C22×C4×D47D411yescharacteristic
51C22×C4×D47D411yescharacteristic
52C22×C4×D47D412yes—
53C22×C4×D47D411yescharacteristic
54C22×C4×D47D412yes—
55C22×C4×D47D411yescharacteristic
56C22×C4×D47C2312yes—
57C2×#10625329—22no—
58C2×#10625329—21no—
59C2×#10625329—21no—
60C2×#10625329—22no—
61C2×#10625329—22no—
62C2×#10625329D414yes—
63C2×#10625329C2312yes—
64C2×#10625329C2312yes—
65C2×#10625324—28no—
66C2×#10625324—24no—
67M16×D47—216no—
68M16×D47—28no—
69M16×D47—28no—
70C22×C47⋊C8—21no—
71C22×C47⋊C8—21no—
72C2×C8×D47—28no—
73C2×C8×D47—24no—
74#13094000—24no—
75#13094000—24no—
76#13094000—24no—
77#13094000—24no—
78#13094000—24no—
79#13094000—24no—
80#13094000—24no—
81#13094000—24no—
82C2×C4⋊Dic47—21no—
83C2×C4⋊Dic47—21no—
84C2×C4⋊Dic47—21no—
85C2×C4⋊Dic47—21no—
86C2×C4⋊Dic47C2×C412yes—
87C2×C4⋊Dic47C2312yes—
88C2×Dic47⋊C4—24no—
89C2×Dic47⋊C4—22no—
90C2×Dic47⋊C4—22no—
91C2×Dic47⋊C4C2×C418yes—
92C2×(C2×D47)⋊C4—22no—
93C2×(C2×D47)⋊C4—24no—
94C2×(C2×D47)⋊C4—22no—
95C2×(C2×D47)⋊C4C2×C418yes—
96#13093943—28no—
97(C2×D47)⋊C8—24no—
98(C2×D47)⋊C8—24no—
99C22×Q8×C47—22no—
100C22×Q8×C47—21no—
101C22×Q8×C47—21no—
102C22×Q8×C47—21no—
103C22×Q8×C47—21no—
104C22×Q8×C47—22no—
105C22×Q8×C47—22no—
106C22×Q8×C47—22no—
107C22×Q8×C47C2×C412yes—
108C22×Q8×C47C2312yes—
109C23×C4×C47C2×C412yes—
110C23×C4×C47C2311yescharacteristic
111C2×M16×C47—22no—
112C2×M16×C47—21no—
113C2×M16×C47—21no—
114C2×M16×C47—22no—
115C2×M16×C47—22no—
116C2×M16×C47D414yes—
117C2×M16×C47C2312yes—
118C2×M16×C47C2312yes—
119C22×C8×C47—21no—
120C22×C8×C47—21no—
121#101×C47—28no—
122C24×C47C22×C411yescharacteristic
123C23×D47—22no—
124C23×D47—22no—
125C23×D47—24no—
126C23×D47—42no—
127C23×D47C22⋊C411yescharacteristic
128C23×D47C22⋊C412yes—
129C23×D47C22⋊C411yescharacteristic
130C23×D47C22×C412yes—
131C2×Q8×C47—22no—
132C2×Q8×C47—22no—
133C2×Q8×C47—24no—
134C2×Q8×C47—24no—
135C2×Q8×C47—22no—
136C2×Q8×C47—22no—
137C2×Q8×C47—22no—
138C2×Q8×C47—22no—
139C2×Q8×C47—22no—
140C2×Q8×C47—22no—
141C2×Q8×C47—42no—
142C2×Q8×C47—42no—
143C2×Q8×C47—42no—
144C2×Q8×C47—42no—
145C2×Q8×C47—42no—
146C2×Q8×C47—42no—
147C2×Q8×C47—42no—
148C2×Q8×C47—42no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—24no—
152C22×C4×C47—24no—
153C22×C4×C47C22×C414yes—
154C22×C4×C47C22×C411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D412yes—
160C22×C4×C47C2×D412yes—
161C22×C4×C47#4112yes—
162C22×C4×C47#4112yes—
163C22×C4×C47C2411yescharacteristic
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—44no—
169C22×Dic47C22⋊C412yes—
170C22×Dic47C22⋊C411yescharacteristic
171C22×Dic47C22⋊C411yescharacteristic
172C22×Dic47C22×C412yes—
173C22×Dic47C22×C414yes—
174C2×C4×D47—24no—
175C2×C4×D47—24no—
176C2×C4×D47—22no—
177C2×C4×D47—24no—
178C2×C4×D47—22no—
179C2×C4×D47—22no—
180C2×C4×D47—22no—
181C2×C4×D47—24no—
182C2×C4×D47—22no—
183C2×C4×D47—22no—
184C2×C4×D47—24no—
185C2×C4×D47—22no—
186C2×C4×D47—24no—
187C2×C4×D47—22no—
188C2×C4×D47—22no—
189C2×C4×D47—22no—
190C2×C4×D47—22no—
191C2×C4×D47—22no—
192C2×C4×D47C22⋊C412yes—
193C2×C4×D47C22⋊C412yes—
194C2×C4×D47C22⋊C412yes—
195C2×C4×D47C22⋊C412yes—
196C2×C4×D47C2×D412yes—
197C2×C4×D47C2×D412yes—
198C2×C4×D47C2×D412yes—
199C2×C4×D47C2×D412yes—
200M16×C47—24no—
201M16×C47—22no—
202M16×C47—22no—
203M16×C47—22no—
204M16×C47—42no—
205M16×C47C2×D414yes—
206C2×C8×C47—24no—
207C2×C8×C47—22no—
208C2×C8×C47—22no—
209C2×C8×C47—42no—
210(C2×D47)⋊C4—28no—
211(C2×D47)⋊C4—28no—
212C4⋊Dic47—22no—
213C4⋊Dic47—22no—
214C4⋊Dic47—22no—
215C4⋊Dic47—22no—
216Dic47⋊C4—28no—
217Dic47⋊C4—28no—
218#10625329—24no—
219#10625329—22no—
220#10625329—22no—
221#10625329—22no—
222#10625329—42no—
223#10625329C2×D414yes—
224C2×C47⋊C8—24no—
225C2×C47⋊C8—22no—
226C2×C47⋊C8—22no—
227C2×C47⋊C8—42no—
228#10625324—216no—
229C8×D47—216no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47C2×C22⋊C411yescharacteristic
233C23×C47C2×C22⋊C411yescharacteristic
234C23×C47C4×D412yes—
235C23×C47C4×D412yes—
236C23×C47C23×C411yescharacteristic
237C22×D47—22no—
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—24no—
242C22×D47—22no—
243C22×D47—22no—
244C22×D47—22no—
245C22×D47—24no—
246C22×D47—24no—
247C22×D47—42no—
248C22×D47—42no—
249C22×D47—48no—
250C22×D47—48no—
251C22×D47#10114yescomplemented
252C22×D47C2×C22⋊C412yes—
253C22×D47C2×C22⋊C412yes—
254Q8×C47—42no—
255Q8×C47—42no—
256Q8×C47—42no—
257Q8×C47—42no—
258Q8×C47—44no—
259Q8×C47—44no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—24no—
263C2×C4×C47—44no—
264C2×C4×C47—44no—
265C2×C4×C47C2×C22⋊C411yescharacteristic
266C2×C4×C47C2×C22⋊C411yescharacteristic
267C2×C4×C47C4×D412yes—
268C2×C4×C47C4×D412yes—
269C2×C4×C47#12012yes—
270C2×C4×C47#12012yes—
271C2×C4×C47#12112yes—
272C2×C4×C47#12112yes—
273C2×C4×C47#12112yes—
274C2×C4×C47#12112yes—
275C2×C4×C47#12312yes—
276C2×C4×C47#12312yes—
277C2×C4×C47C22×D411yescharacteristic
278C2×C4×C47C22×D411yescharacteristic
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47C22×D411yescharacteristic
281C2×C4×C47C2×#4111yescharacteristic
282C2×C4×C47C2×#4111yescharacteristic
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—24no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—24no—
289C2×Dic47—44no—
290C2×Dic47—44no—
291C2×Dic47—44no—
292C2×Dic47C2×C22⋊C412yes—
293C2×Dic47C2×C22⋊C412yes—
294C4×D47—22no—
295C4×D47—22no—
296C4×D47—22no—
297C4×D47—22no—
298C4×D47—22no—
299C4×D47—22no—
300C4×D47—22no—
301C4×D47—22no—
302C4×D47—24no—
303C4×D47—24no—
304C4×D47—24no—
305C4×D47—24no—
306C8×C47—24no—
307C8×C47—42no—
308C47⋊C8—24no—
309C47⋊C8—42no—
310C2×#1901—471nomaximal, Sylow
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—21no—
314C22×C47—21no—
315C22×C47—24no—
316C22×C47—24no—
317C22×C47#38612yes—
318C22×C47#38612yes—
319C22×C47C2×#10112yes—
320C22×C47#41312yes—
321C22×C47C22×C22⋊C411yescharacteristic
322C22×C47C2×C4×D411yescharacteristic
323C22×C47C2×C4×D411yescharacteristic
324C2×D47—22no—
325C2×D47—28no—
326C2×D47—22no—
327C2×D47—22no—
328C2×D47—22no—
329C2×D47—22no—
330C2×D47—44no—
331C2×D47—44no—
332C2×D47—48no—
333C2×D47—44no—
334C2×D47C2×#10114yescomplemented
335C4×C47—44no—
336C4×C47#38612yes—
337C4×C47#38612yes—
338C4×C47C2×#12011yescharacteristic
339C4×C47C2×#12111yescharacteristic
340C4×C47C2×#12111yescharacteristic
341C4×C47C2×#12311yescharacteristic
342Dic47—22no—
343Dic47—22no—
344Dic47—44no—
345C23×M16—471no—
346C22×C22⋊Q8—471no—
347C22×#101—471no—
348C22×#101D4711yescharacteristic, complemented
349C2×#407—471no—
350#1901—478no—
351C2×#343—471no—
352C2×#343—471no—
353C2×C47—21no—
354C2×C47—21no—
355C2×C47—22no—
356C2×C47#190114yescomplemented
357C2×C47C2×#38611yescharacteristic
358C2×C47C22×#10111yescharacteristic
359C2×C47C2×#41311yescharacteristic
360D47—24no—
361D47—42no—
362C23×Q8C2×D4711yescharacteristic
363C24×C4—471no—
364C22×M16—471no—
365C22×M16—471no—
366C22×M16—474no—
367C22×M16—941no—
368C22×M16—944no—
369C22×M16—942no—
370C22×M16—944no—
371C22×M16C2×D4711yescharacteristic
372C22×M16C2×D4711yescharacteristic
373C23×C8—941no—
374C2×C22⋊Q8—474no—
375C2×C22⋊Q8—474no—
376C2×C22⋊Q8—941no—
377C2×C22⋊Q8—942no—
378C2×C22⋊Q8—941no—
379C2×C22⋊Q8—941no—
380C2×C22⋊Q8—941no—
381C2×C22⋊Q8—942no—
382C22×C4⋊C4—472no—
383C22×C4⋊C4—471no—
384C22×C22⋊C4—472no—
385C2×#101—24no—
386C2×#101—474no—
387C2×#101—944no—
388C2×#101C2×D4714yescomplemented
389#407—474no—
390#407—942no—
391C2×C22⋊C8—941no—
392C2×C22⋊C8—941no—
393#343—474no—
394#343—474no—
395C47C2×#190111yescharacteristic, complemented, Sylow
396C25—471no—
397C22×Q8—22no—
398C22×Q8—21no—
399C22×Q8—21no—
400C22×Q8—21no—
401C22×Q8—21no—
402C22×Q8—22no—
403C22×Q8—22no—
404C22×Q8—22no—
405C22×Q8C4×D4712yes—
406C22×Q8C22×D4712yes—
407C23×C4—471no—
408C23×C4—472no—
409C23×C4—471no—
410C23×C4—472no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—472no—
415C23×C4—472no—
416C23×C4—472no—
417C23×C4—942no—
418C23×C4—942no—
419C23×C4—942no—
420C23×C4—942no—
421C23×C4C4×D4712yes—
422C23×C4C22×D4711yescharacteristic
423C2×M16—22no—
424C2×M16—21no—
425C2×M16—21no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—474no—
429C2×M16—472no—
430C2×M16—472no—
431C2×M16—944no—
432C2×M16—948no—
433C2×M16—948no—
434C2×M16—9416no—
435C2×M16—941no—
436C2×M16—942no—
437C2×M16—948no—
438C2×M16—941no—
439C2×M16—942no—
440C2×M16—942no—
441C2×M16C22⋊D4714yes—
442C2×M16C22×D4712yes—
443C2×M16C22×D4712yes—
444C22×C8—21no—
445C22×C8—21no—
446C22×C8—944no—
447C22×C8—948no—
448C22×C8—941no—
449C22×C8—941no—
450C22⋊Q8—944no—
451C22⋊Q8—944no—
452C22⋊Q8—944no—
453C22⋊Q8—944no—
454C22⋊Q8—944no—
455C22⋊Q8—944no—
456C22⋊Q8—944no—
457C22⋊Q8—944no—
458C2×C4⋊C4—478no—
459C2×C4⋊C4—472no—
460C2×C4⋊C4—472no—
461C2×C4⋊C4—944no—
462C2×C4⋊C4—942no—
463C2×C4⋊C4—942no—
464C2×C4⋊C4—941no—
465C2×C4⋊C4—941no—
466C2×C4⋊C4—941no—
467C2×C4⋊C4—941no—
468C2×C22⋊C4—478no—
469C2×C22⋊C4—944no—
470C2×C22⋊C4—942no—
471C2×C22⋊C4—942no—
472#101—28no—
473#101—948no—
474C22⋊C8—944no—
475C22⋊C8—944no—
476C24—471no—
477C24—471no—
478C24—472no—
479C24—472no—
480C24—944no—
481C24—942no—
482C24—942no—
483C24—1882no—
484C24C2×C4×D4711yescharacteristic
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—24no—
488C2×Q8—24no—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8—22no—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—42no—
496C2×Q8—42no—
497C2×Q8—42no—
498C2×Q8—42no—
499C2×Q8—42no—
500C2×Q8—42no—
501C2×Q8—42no—
502C2×Q8—42no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—472no—
508C22×C4—471no—
509C22×C4—471no—
510C22×C4—472no—
511C22×C4—472no—
512C22×C4—472no—
513C22×C4—472no—
514C22×C4—472no—
515C22×C4—472no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—472no—
519C22×C4—474no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—944no—
523C22×C4—944no—
524C22×C4—942no—
525C22×C4—944no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—944no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—944no—
533C22×C4—942no—
534C22×C4—944no—
535C22×C4—942no—
536C22×C4—942no—
537C22×C4—942no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—942no—
541C22×C4—942no—
542C22×C4—1884no—
543C22×C4C2×C4×D4714yes—
544C22×C4C2×C4×D4711yescharacteristic
545C22×C4#1062535012yes—
546C22×C4D4×D4711yescharacteristic
547C22×C4D4×D4711yescharacteristic
548C22×C4D4×D4711yescharacteristic
549C22×C4D4×D4711yescharacteristic
550C22×C4D4×D4712yes—
551C22×C4#1062535212yes—
552C22×C4C2×C22⋊D4712yes—
553C22×C4C23×D4711yescharacteristic
554M16—24no—
555M16—22no—
556M16—22no—
557M16—22no—
558M16—42no—
559M16—474no—
560M16—9416no—
561M16—944no—
562M16—942no—
563M16—942no—
564M16—942no—
565M16—1882no—
566M16C2×C22⋊D4714yes—
567C2×C8—24no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—42no—
571C2×C8—9416no—
572C2×C8—944no—
573C2×C8—942no—
574C2×C8—942no—
575C2×C8—1882no—
576C4⋊C4—948no—
577C4⋊C4—948no—
578C4⋊C4—942no—
579C4⋊C4—942no—
580C4⋊C4—942no—
581C4⋊C4—942no—
582C22⋊C4—948no—
583C22⋊C4—948no—
584C23—22no—
585C23—22no—
586C23—472no—
587C23—474no—
588C23—472no—
589C23—944no—
590C23—944no—
591C23—942no—
592C23—942no—
593C23—944no—
594C23—942no—
595C23—942no—
596C23—942no—
597C23—942no—
598C23—942no—
599C23—1882no—
600C23—1882no—
601C23—1888no—
602C23—1888no—
603C23C22⋊C4×D4711yescharacteristic
604C23C22⋊C4×D4711yescharacteristic
605C23(C22⋊D47)⋊C412yes—
606C23C4×C22⋊D4712yes—
607C23C22×C4×D4711yescharacteristic
608Q8—44no—
609Q8—44no—
610Q8—42no—
611Q8—42no—
612Q8—42no—
613Q8—42no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—472no—
620C2×C4—472no—
621C2×C4—944no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—944no—
629C2×C4—944no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—944no—
639C2×C4—1884no—
640C2×C4—1884no—
641C2×C4—1884no—
642C2×C4C22⋊C4×D4711yescharacteristic
643C2×C4C22⋊C4×D4711yescharacteristic
644C2×C4(C22⋊D47)⋊C412yes—
645C2×C4C4×C22⋊D4712yes—
646C2×C4#1309399212yes—
647C2×C4#1309399212yes—
648C2×C4#1309399512yes—
649C2×C4#1309399512yes—
650C2×C4#1309399712yes—
651C2×C4#1309399712yes—
652C2×C4#1309400612yes—
653C2×C4#1309400612yes—
654C2×C4C2×D4×D4711yescharacteristic
655C2×C4C2×D4×D4711yescharacteristic
656C2×C4C2×D4×D4711yescharacteristic
657C2×C4C22×C22⋊D4711yescharacteristic
658C2×C4C2×#1062535211yescharacteristic
659C2×C4C2×#1062535011yescharacteristic
660C8—24no—
661C8—42no—
662C8—944no—
663C8—1882no—
664C22—24no—
665C22—24no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—474no—
671C22—942no—
672C22—948no—
673C22—942no—
674C22—942no—
675C22—942no—
676C22—942no—
677C22—1888no—
678C22—1884no—
679C22—1884no—
680C22—1884no—
681C22#1568899912yes—
682C22#1568899912yes—
683C22#101×D4712yes—
684C22#1568910612yes—
685C22C2×C22⋊C4×D4711yescharacteristic
686C22C2×(C22⋊D47)⋊C411yescharacteristic
687C22C2×C4×C22⋊D4711yescharacteristic
688C4—44no—
689C4—942no—
690C4—942no—
691C4—1884no—
692C4#1568899912yes—
693C4#1568899912yes—
694C4C2×#1309399211yescharacteristic
695C4C2×#1309399511yescharacteristic
696C4C2×#1309399711yescharacteristic
697C4C2×#1309400611yescharacteristic
698C2—22no—
699C2—21no—
700C2—21no—
701C2—944no—
702C2—1882no—
703C2#2024385314yesdirect product factor
704C2C2×#1568899911yescharacteristic
705C2C2×#101×D4711yescharacteristic
706C2C2×#1568910611yescharacteristic
subgroupG/H
centerC23C22⋊C4×D47
commutatorC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC22×#101×C47C2
socleC23×C47C2×C22⋊C4
prime radicalC24×D47C2×C4
cosocleC22×C4×C47C24
hypercenterC22×#101D47
hypocenterC47C2×#1901
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#101

Complements

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

NH ≅ G/Ntype
3. C22×#13093943C2semidirect
5. #20243853C2direct (N × H)
6. C2×#15688891C2semidirect
7. C2×#15688891C2semidirect
8. C22×#101×C47C2semidirect
30. C2×#13093943C22semidirect
35. #15688891C22semidirect
36. #15688891C22semidirect
41. C2×#101×C47C22semidirect
251. C22×D47#101semidirect
334. C2×D47C2×#101semidirect
348. C22×#101D47semidirect
356. C2×C47#1901semidirect
388. C2×#101C2×D47semidirect
395. C47C2×#1901semidirect
703. C2#20243853direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D472
C22×#130940002
C22×#130939432
C2×#156890862
#202438532
C2×#156888912
C22×#101×C472
C2×#190147