Finite Group Databasebeta

← C2×#20243762 #26217774

Subgroups — C2×#20243762 #26217774

Order 12032.

2018 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094049C211yesmaximal, characteristic
2C2×#15689606C211yesmaximal, characteristic, complemented
3C2×#15689129C211yesmaximal, characteristic, complemented
4C2×#15689025C211yesmaximal, characteristic, complemented
5#20243762C218yesmaximal, direct product factor
6C2×#15688891C211yesmaximal, characteristic, complemented
7C2×#15688883C211yesmaximal, characteristic, complemented
8C22×#104×C47C211yesmaximal, characteristic, complemented
9C23×D188C2211yescharacteristic
10C2×#13094049—24no—
11C2×#13094049—22no—
12C2×#13094049C418yescomplemented
13C2×#13094049C2214yes—
14C22×#10625336—21no—
15C22×#10625334—21no—
16C22×#10625329C2211yescharacteristic
17#15689606—22no—
18#15689606—22no—
19#15689606—22no—
20#15689606C2214yescomplemented
21C2×Q8×Dic47—21no—
22C2×D4×Dic47—22no—
23C2×D4×Dic47—21no—
24C2×#13093983—21no—
25C2×#13093983C2211yescharacteristic
26C22×C4⋊Dic47—21no—
27C22×C4⋊Dic47C2211yescharacteristic
28C22×(C2×D47)⋊C4—22no—
29#15689129—22no—
30#15689129C2214yescomplemented
31C2×#13093946—21no—
32C2×#13093946—21no—
33#15689025—22no—
34#15689025C2214yescomplemented
35#15688891C2214yescomplemented
36#15688883C2214yescomplemented
37C22×#41×C47C2211yescharacteristic
38C22×M16×C47C2211yescharacteristic
39C22×C42×C47C2211yescharacteristic
40C2×#104×C47—24no—
41C2×#104×C47C2214yescomplemented
42C24×D47—21no—
43C22×D188—21no—
44C22×D188—21no—
45C22×D188—21no—
46C22×D188—22no—
47C22×D188—21no—
48C22×D188—22no—
49C22×D188—21no—
50C22×D188—22no—
51C22×D188C2×C414yescomplemented
52C22×D188C2312yes—
53C23×Dic47—22no—
54C23×Dic47D412yes—
55#13094049—216no—
56#13094049—28no—
57#13094049C2×C4116yescomplemented
58C2×#10625336—28no—
59C2×#10625336—24no—
60C2×#10625334—28no—
61C2×#10625334—24no—
62C2×#10625329—22no—
63C2×#10625329—21no—
64C2×#10625329C2×C414yescomplemented
65C2×#10625329C2312yes—
66C22×C47⋊C8—21no—
67Q8×Dic47—24no—
68Q8×Dic47—24no—
69D4×Dic47—28no—
70D4×Dic47—24no—
71D4×Dic47—24no—
72D4×Dic47—28no—
73#13093983—24no—
74#13093983—21no—
75#13093983—21no—
76#13093983—24no—
77#13093983D412yes—
78#13093983C2312yes—
79C2×C4⋊Dic47—22no—
80C2×C4⋊Dic47—24no—
81C2×C4⋊Dic47—21no—
82C2×C4⋊Dic47—21no—
83C2×C4⋊Dic47—21no—
84C2×C4⋊Dic47—21no—
85C2×C4⋊Dic47—24no—
86C2×C4⋊Dic47D412yes—
87C2×C4⋊Dic47D411yescharacteristic
88C2×C4⋊Dic47D411yescharacteristic
89C2×C4⋊Dic47C2312yes—
90C2×C22⋊Dic47—22no—
91C2×C22⋊Dic47—21no—
92C2×(C2×D47)⋊C4—28no—
93C2×(C2×D47)⋊C4—48no—
94C2×C4×Dic47—22no—
95C2×C4×Dic47—21no—
96#13093946—24no—
97#13093946—24no—
98C2×#41×C47—21no—
99C2×#41×C47—21no—
100C2×#41×C47—22no—
101C2×#41×C47—22no—
102C2×#41×C47C2×C414yes—
103C2×#41×C47D414yes—
104C2×#41×C47D412yes—
105C2×#41×C47C2312yes—
106C22×Q8×C47D411yescharacteristic
107C22×D4×C47—21no—
108C22×D4×C47D411yescharacteristic
109C23×C4×C47—21no—
110C23×C4×C47—21no—
111C23×C4×C47C2311yescharacteristic
112C2×M16×C47—21no—
113C2×M16×C47—22no—
114C2×M16×C47—22no—
115C2×M16×C47C2312yes—
116C22×C8×C47—21no—
117C2×C42×C47—22no—
118C2×C42×C47—22no—
119C2×C42×C47—21no—
120C2×C42×C47C2312yes—
121#104×C47—28no—
122C24×C47—21no—
123C24×C47C2×D411yescharacteristic
124C23×D47—24no—
125C23×D47—22no—
126C23×D47—44no—
127C23×D47—44no—
128C23×D47—41no—
129C23×D47—41no—
130C23×D47—42no—
131#41×C47—24no—
132#41×C47—24no—
133#41×C47—24no—
134#41×C47—24no—
135#41×C47—24no—
136#41×C47—22no—
137#41×C47—22no—
138#41×C47C22⋊C418yescomplemented
139#41×C47C22×C414yes—
140#41×C47C2×D414yes—
141C2×Q8×C47—21no—
142C2×Q8×C47—22no—
143C2×Q8×C47C22⋊C414yescomplemented
144C2×Q8×C47C2×D412yes—
145C2×D4×C47—24no—
146C2×D4×C47—22no—
147C2×D4×C47—24no—
148C2×D4×C47—22no—
149C2×D4×C47—21no—
150C2×D4×C47—22no—
151C2×D4×C47C22⋊C414yescomplemented
152C2×D4×C47C2×D412yes—
153C22×C4×C47—21no—
154C22×C4×C47—24no—
155C22×C4×C47—22no—
156C22×C4×C47—24no—
157C22×C4×C47—22no—
158C22×C4×C47—24no—
159C22×C4×C47—22no—
160C22×C4×C47—42no—
161C22×C4×C47—42no—
162C22×C4×C47C22×C412yes—
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D412yes—
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47#4112yes—
170C22×C4×C47#4112yes—
171C22×C4×C47C2411yescharacteristic
172C22×Dic47—21no—
173C22×Dic47—22no—
174C22×Dic47—21no—
175C22×Dic47—28no—
176C22×Dic47—22no—
177C22×Dic47—44no—
178C22×Dic47—84no—
179C22×Dic47C2×D414yes—
180C2×D188—24no—
181C2×D188—24no—
182C2×D188—24no—
183C2×D188—24no—
184C2×D188—22no—
185C2×D188—22no—
186C2×D188—22no—
187C2×D188—22no—
188C2×D188—24no—
189C2×D188—22no—
190C2×D188—41no—
191C2×D188—41no—
192C2×D188—42no—
193C2×D188—42no—
194C2×D188—42no—
195C2×D188—42no—
196C2×D188—42no—
197C2×D188C22×C414yescomplemented
198M16×C47—22no—
199M16×C47—22no—
200M16×C47—42no—
201C2×C8×C47—22no—
202C2×C8×C47—42no—
203C42×C47—22no—
204C42×C47—22no—
205C42×C47—42no—
206C22⋊Dic47—28no—
207C22⋊Dic47—22no—
208C22⋊Dic47—22no—
209#10625336—216no—
210#10625334—216no—
211(C2×D47)⋊C4—416no—
212C4⋊Dic47—28no—
213C4⋊Dic47—22no—
214C4⋊Dic47—21no—
215C4⋊Dic47—22no—
216C4⋊Dic47—21no—
217C4⋊Dic47—22no—
218C4⋊Dic47—22no—
219C4⋊Dic47C2×D412yes—
220C4⋊Dic47C2×D412yes—
221C4×Dic47—28no—
222C4×Dic47—22no—
223C4×Dic47—22no—
224#10625329—24no—
225#10625329—22no—
226#10625329C22×C414yescomplemented
227C2×C47⋊C8—24no—
228C2×C47⋊C8—22no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—24no—
233C23×C47—42no—
234C23×C47—42no—
235C23×C47C4×D412yes—
236C23×C47#12011yescharacteristic
237C23×C47#12011yescharacteristic
238C23×C47#12112yes—
239C23×C47C22×D411yescharacteristic
240C22×D47—24no—
241C22×D47—44no—
242C22×D47—416no—
243C22×D47—44no—
244C22×D47—42no—
245C22×D47—42no—
246C22×D47—44no—
247C22×D47—44no—
248C22×D47—88no—
249C22×D47—82no—
250C22×D47—82no—
251C22×D47—82no—
252C22×D47—82no—
253Q8×C47—22no—
254Q8×C47—24no—
255Q8×C47C2×C22⋊C414yescomplemented
256D4×C47—24no—
257D4×C47—24no—
258D4×C47—28no—
259D4×C47—22no—
260D4×C47—24no—
261D4×C47C2×C22⋊C414yescomplemented
262C2×C4×C47—22no—
263C2×C4×C47—24no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—28no—
267C2×C4×C47—24no—
268C2×C4×C47—48no—
269C2×C4×C47—42no—
270C2×C4×C47—42no—
271C2×C4×C47C2×C22⋊C412yes—
272C2×C4×C47C2×C22⋊C412yes—
273C2×C4×C47C4×D412yes—
274C2×C4×C47C4×D412yes—
275C2×C4×C47C4×D412yes—
276C2×C4×C47#12011yescharacteristic
277C2×C4×C47#12011yescharacteristic
278C2×C4×C47#12112yes—
279C2×C4×C47#12112yes—
280C2×C4×C47#12112yes—
281C2×C4×C47#12312yes—
282C2×C4×C47#12312yes—
283C2×C4×C47C23×C411yescharacteristic
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×D411yescharacteristic
286C2×C4×C47C22×D411yescharacteristic
287C2×C4×C47C2×#4111yescharacteristic
288C2×C4×C47C2×#4111yescharacteristic
289C2×Dic47—22no—
290C2×Dic47—24no—
291C2×Dic47—22no—
292C2×Dic47—44no—
293C2×Dic47—42no—
294C2×Dic47—42no—
295C2×Dic47—44no—
296C2×Dic47—82no—
297C2×Dic47—88no—
298D188—24no—
299D188—24no—
300D188—42no—
301D188—42no—
302D188—44no—
303D188—44no—
304C8×C47—42no—
305C47⋊C8—24no—
306C2×#1883—471nomaximal, Sylow
307C22×C47—24no—
308C22×C47—24no—
309C22×C47—21no—
310C22×C47—21no—
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—24no—
314C22×C47—48no—
315C22×C47—42no—
316C22×C47—42no—
317C22×C47#38612yes—
318C22×C47#38612yes—
319C22×C47#45312yes—
320C22×C47#45412yes—
321C22×C47C2×C4×D411yescharacteristic
322C22×C47C2×#12011yescharacteristic
323C22×C47C2×#12111yescharacteristic
324C2×D47—48no—
325C2×D47—44no—
326C2×D47—84no—
327C2×D47—88no—
328C2×D47—88no—
329C2×D47—82no—
330C2×D47—82no—
331C4×C47—24no—
332C4×C47—44no—
333C4×C47#38612yes—
334C4×C47#38612yes—
335C4×C47C22×C22⋊C411yescharacteristic
336C4×C47C2×C4×D411yescharacteristic
337C4×C47C2×#12111yescharacteristic
338C4×C47C2×#12311yescharacteristic
339Dic47—44no—
340Dic47—42no—
341Dic47—42no—
342C22×AGL(1,ℤ/8)—471no—
343C2×#520—471no—
344C22×#104D4711yescharacteristic, complemented
345C2×#418—471no—
346C2×#390—471no—
347#1883—478no—
348C2×#343—471no—
349C2×#339—471no—
350C2×C47—21no—
351C2×C47—21no—
352C2×C47—22no—
353C2×C47—44no—
354C2×C47#188314yescomplemented
355C2×C47C2×#38611yescharacteristic
356C2×C47C2×#45311yescharacteristic
357C2×C47C2×#45411yescharacteristic
358D47—84no—
359C22×#41C2×D4711yescharacteristic
360C23×D4—471no—
361C2×AGL(1,ℤ/8)—478no—
362C2×AGL(1,ℤ/8)—474no—
363C2×AGL(1,ℤ/8)—942no—
364C2×AGL(1,ℤ/8)—944no—
365C22×SD16—941no—
366C22×D8—941no—
367C22×M16—471no—
368C22×M16C2×D4711yescharacteristic
369#520—474no—
370#520—942no—
371#520—942no—
372#520—942no—
373C2×C4×Q8—941no—
374C2×C4×D4—942no—
375C2×C4×D4—941no—
376C2×#117—471no—
377C2×#117—941no—
378C22×C4⋊C4—471no—
379C22×C4⋊C4—941no—
380C22×C22⋊C4—942no—
381C22×C42C2×D4711yescharacteristic
382C2×#104—24no—
383C2×#104C2×D4714yescomplemented
384#418—474no—
385#418—942no—
386C2×#102—941no—
387C2×#102—941no—
388#390—474no—
389#390—942no—
390#343—474no—
391#339—474no—
392C47C2×#188311yescharacteristic, complemented, Sylow
393C25—941no—
394C2×#41—21no—
395C2×#41—21no—
396C2×#41—22no—
397C2×#41—22no—
398C2×#41C4×D4714yes—
399C2×#41D18812yes—
400C2×#41C22⋊D4714yes—
401C2×#41C22×D4712yes—
402C22×Q8D18811yescharacteristic
403C22×D4—21no—
404C22×D4—474no—
405C22×D4—472no—
406C22×D4—941no—
407C22×D4—941no—
408C22×D4—941no—
409C22×D4—941no—
410C22×D4—941no—
411C22×D4—942no—
412C22×D4—942no—
413C22×D4—942no—
414C22×D4D18811yescharacteristic
415C23×C4—21no—
416C23×C4—21no—
417C23×C4—472no—
418C23×C4—942no—
419C23×C4C22×D4711yescharacteristic
420AGL(1,ℤ/8)—4716no—
421AGL(1,ℤ/8)—9416no—
422AGL(1,ℤ/8)—948no—
423C2×SD16—948no—
424C2×SD16—944no—
425C2×D8—948no—
426C2×D8—944no—
427C2×M16—21no—
428C2×M16—22no—
429C2×M16—22no—
430C2×M16—474no—
431C2×M16—472no—
432C2×M16—941no—
433C2×M16—942no—
434C2×M16C22×D4712yes—
435C22×C8—21no—
436C22×C8—941no—
437C4×Q8—944no—
438C4×Q8—944no—
439C4×D4—948no—
440C4×D4—948no—
441C4×D4—944no—
442C4×D4—944no—
443#117—472no—
444#117—472no—
445#117—944no—
446#117—944no—
447#117—941no—
448#117—941no—
449C2×C4⋊C4—471no—
450C2×C4⋊C4—471no—
451C2×C4⋊C4—472no—
452C2×C4⋊C4—472no—
453C2×C4⋊C4—944no—
454C2×C4⋊C4—942no—
455C2×C4⋊C4—944no—
456C2×C4⋊C4—941no—
457C2×C4⋊C4—941no—
458C2×C4⋊C4—941no—
459C2×C4⋊C4—941no—
460C2×C22⋊C4—942no—
461C2×C22⋊C4—941no—
462C2×C22⋊C4—948no—
463C2×C22⋊C4—1888no—
464C2×C42—22no—
465C2×C42—22no—
466C2×C42—21no—
467C2×C42—942no—
468C2×C42—941no—
469C2×C42C22×D4712yes—
470#104—28no—
471#102—944no—
472#102—944no—
473C24—21no—
474C24—944no—
475C24—942no—
476C24—1884no—
477C24—1884no—
478C24—1881no—
479C24—1881no—
480C24—1882no—
481C24D4×D4711yescharacteristic
482#41—24no—
483#41—24no—
484#41—24no—
485#41—24no—
486#41—24no—
487#41—22no—
488#41—22no—
489#41(C2×D47)⋊C418yescomplemented
490#41C2×C4×D4714yes—
491#41C2×C22⋊D4714yes—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8(C2×D47)⋊C414yescomplemented
495C2×Q8C2×D18812yes—
496C2×D4—24no—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—474no—
503C2×D4—944no—
504C2×D4—944no—
505C2×D4—944no—
506C2×D4—944no—
507C2×D4—944no—
508C2×D4—942no—
509C2×D4—942no—
510C2×D4—942no—
511C2×D4—942no—
512C2×D4—942no—
513C2×D4—1881no—
514C2×D4—1881no—
515C2×D4—1882no—
516C2×D4—1882no—
517C2×D4—1882no—
518C2×D4—1882no—
519C2×D4—1882no—
520C2×D4(C2×D47)⋊C414yescomplemented
521C2×D4C2×D18812yes—
522C22×C4—21no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—22no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—474no—
532C22×C4—948no—
533C22×C4—942no—
534C22×C4—941no—
535C22×C4—941no—
536C22×C4—942no—
537C22×C4—3764no—
538C22×C4—1884no—
539C22×C4C2×C4×D4712yes—
540C22×C4C2×D18811yescharacteristic
541C22×C4C2×D18811yescharacteristic
542C22×C4D4×D4711yescharacteristic
543C22×C4D4×D4711yescharacteristic
544C22×C4D4×D4711yescharacteristic
545C22×C4#1062535212yes—
546C22×C4#1062535212yes—
547C22×C4C2×C22⋊D4712yes—
548C22×C4C23×D4711yescharacteristic
549SD16—9416no—
550D8—9416no—
551M16—22no—
552M16—22no—
553M16—42no—
554M16—474no—
555M16—944no—
556M16—942no—
557C2×C8—22no—
558C2×C8—42no—
559C2×C8—944no—
560C2×C8—942no—
561C4⋊C4—472no—
562C4⋊C4—472no—
563C4⋊C4—948no—
564C4⋊C4—941no—
565C4⋊C4—942no—
566C4⋊C4—942no—
567C4⋊C4—941no—
568C4⋊C4—942no—
569C4⋊C4—942no—
570C22⋊C4—948no—
571C22⋊C4—942no—
572C22⋊C4—942no—
573C22⋊C4—18816no—
574C42—22no—
575C42—22no—
576C42—42no—
577C42—948no—
578C42—942no—
579C42—942no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—22no—
584C23—42no—
585C23—42no—
586C23—944no—
587C23—3762no—
588C23—3768no—
589C23—3762no—
590C23—3762no—
591C23—3762no—
592C23—1884no—
593C23—18816no—
594C23—1884no—
595C23—1884no—
596C23—1884no—
597C23—1882no—
598C23—1882no—
599C23(C22⋊D47)⋊C412yes—
600C23#1309399411yescharacteristic
601C23#1309399411yescharacteristic
602C23#1309399612yes—
603C23C2×D4×D4711yescharacteristic
604Q8—24no—
605Q8—22no—
606Q8C2×(C2×D47)⋊C414yescomplemented
607D4—28no—
608D4—24no—
609D4—24no—
610D4—24no—
611D4—22no—
612D4—944no—
613D4—944no—
614D4—1884no—
615D4—1884no—
616D4—1882no—
617D4—1882no—
618D4C2×(C2×D47)⋊C414yescomplemented
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—28no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—48no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—944no—
631C2×C4—3762no—
632C2×C4—3768no—
633C2×C4—1882no—
634C2×C4—1884no—
635C2×C4—1882no—
636C2×C4—1884no—
637C2×C4C2×(C2×D47)⋊C412yes—
638C2×C4C2×(C2×D47)⋊C412yes—
639C2×C4(C22⋊D47)⋊C412yes—
640C2×C4(C22⋊D47)⋊C412yes—
641C2×C4(C22⋊D47)⋊C412yes—
642C2×C4#1309399411yescharacteristic
643C2×C4#1309399411yescharacteristic
644C2×C4#1309399612yes—
645C2×C4#1309399612yes—
646C2×C4#1309399612yes—
647C2×C4#1309400812yes—
648C2×C4#1309400812yes—
649C2×C4C22×C4×D4711yescharacteristic
650C2×C4C2×D4×D4711yescharacteristic
651C2×C4C22×C22⋊D4711yescharacteristic
652C2×C4C22×D18811yescharacteristic
653C2×C4C2×#1062535211yescharacteristic
654C2×C4C2×#1062535211yescharacteristic
655C8—42no—
656C8—944no—
657C22—21no—
658C22—21no—
659C22—24no—
660C22—24no—
661C22—21no—
662C22—21no—
663C22—24no—
664C22—42no—
665C22—48no—
666C22—42no—
667C22—3764no—
668C22—3768no—
669C22—3762no—
670C22—3768no—
671C22—3762no—
672C22—1888no—
673C22—1884no—
674C22#1568900012yes—
675C22#1568900012yes—
676C22#1568929212yes—
677C22#1568929712yes—
678C22C2×(C22⋊D47)⋊C411yescharacteristic
679C22C2×#1309399411yescharacteristic
680C22C2×#1309399611yescharacteristic
681C4—24no—
682C4—44no—
683C4—1882no—
684C4—1884no—
685C4—1882no—
686C4#1568900012yes—
687C4#1568900012yes—
688C4C22×(C2×D47)⋊C411yescharacteristic
689C4C2×(C22⋊D47)⋊C411yescharacteristic
690C4C2×#1309399611yescharacteristic
691C4C2×#1309400811yescharacteristic
692C2—21no—
693C2—22no—
694C2—21no—
695C2—44no—
696C2—3764no—
697C2#2024376214yesdirect product factor
698C2C2×#1568900011yescharacteristic
699C2C2×#1568929211yescharacteristic
700C2C2×#1568929711yescharacteristic
subgroupG/H
centerC23#13093994
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC22×#104×C47C2
socleC23×C47#120
prime radicalC22×#13094049C2
cosocleC22×C4×C47C24
hypercenterC22×#104D47
hypocenterC47C2×#1883
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
2. C2×#15689606C2semidirect
3. C2×#15689129C2semidirect
4. C2×#15689025C2semidirect
5. #20243762C2direct (N × H)
6. C2×#15688891C2semidirect
7. C2×#15688883C2semidirect
8. C22×#104×C47C2semidirect
12. C2×#13094049C4semidirect
20. #15689606C22semidirect
30. #15689129C22semidirect
34. #15689025C22semidirect
35. #15688891C22semidirect
36. #15688883C22semidirect
41. C2×#104×C47C22semidirect
51. C22×D188C2×C4semidirect
57. #13094049C2×C4semidirect
64. C2×#10625329C2×C4semidirect
138. #41×C47C22⋊C4semidirect
143. C2×Q8×C47C22⋊C4semidirect
151. C2×D4×C47C22⋊C4semidirect
197. C2×D188C22×C4semidirect
226. #10625329C22×C4semidirect
255. Q8×C47C2×C22⋊C4semidirect
261. D4×C47C2×C22⋊C4semidirect
344. C22×#104D47semidirect
354. C2×C47#1883semidirect
383. C2×#104C2×D47semidirect
392. C47C2×#1883semidirect
489. #41(C2×D47)⋊C4semidirect
494. C2×Q8(C2×D47)⋊C4semidirect
520. C2×D4(C2×D47)⋊C4semidirect
606. Q8C2×(C2×D47)⋊C4semidirect
618. D4C2×(C2×D47)⋊C4semidirect
697. C2#20243762direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940492
C2×#156896062
C2×#156891292
C2×#156890252
#202437622
C2×#156888912
C2×#156888832
C22×#104×C472
C2×#188347