Finite Group Databasebeta

← C2×#19147511 #25977093

Subgroups — C2×#19147511 #25977093

Order 11008.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583626C211yesmaximal, characteristic, complemented
2C2×D4×Dic86C211yesmaximal, characteristic
3#19147511C2116yesmaximal, direct product factor
4C2×#14583309C211yesmaximal, characteristic, complemented
5C2×#14583306C211yesmaximal, characteristic, complemented
6C2×#14583303C211yesmaximal, characteristic, complemented
7C2×#14583195C211yesmaximal, characteristic, complemented
8C2×#14583193C211yesmaximal, characteristic, complemented
9C2×#14583183C211yesmaximal, characteristic, complemented
10C2×#14583197C211yesmaximal, characteristic
11C2×#14583177C211yesmaximal, characteristic
12C2×#14583028C211yesmaximal, characteristic, complemented
13C2×#14582999C211yesmaximal, characteristic
14C2×#14582996C211yesmaximal, characteristic
15C2×#14582990C211yesmaximal, characteristic
16C2×C43×#478C211yesmaximal, characteristic
17C23×Dic86—21no—
18C22×#10621883C2211yescharacteristic
19#14583626—24no—
20#14583626C2218yescomplemented
21D4×Dic86—24no—
22D4×Dic86C2218yes—
23C2×#13063325C2211yescharacteristic
24C2×#13063324—21no—
25C2×#13063324C2211yescharacteristic
26C2×#13063324C2211yescharacteristic
27C2×#13063324C2211yescharacteristic
28C2×#13063316C2211yescharacteristic
29C2×#13063315—21no—
30C2×#13063315—21no—
31C2×#13063304—21no—
32C2×#13063302—21no—
33C2×#13063302—21no—
34C2×C4×Dic86C2211yescharacteristic
35C2×C4×Dic86C2211yescharacteristic
36C2×#13063290—21no—
37C2×#13063290C2211yescharacteristic
38C2×#13063290C2211yescharacteristic
39C2×D4×Dic43C2211yescharacteristic
40C2×D4×Dic43C2211yescharacteristic
41#14583309C2218yescomplemented
42#14583306C2218yescomplemented
43#14583303C2218yescomplemented
44#14583197C2218yes—
45#14583195C2218yescomplemented
46#14583193C2218yescomplemented
47#14583183C2218yescomplemented
48#14583177C2218yes—
49#14583028C2218yescomplemented
50#14582999C2218yes—
51#14582996C2218yes—
52#14582990C2218yes—
53C2×#13063259C2211yescharacteristic
54C2×#13063259C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063258C2211yescharacteristic
57C2×#13063258C2211yescharacteristic
58C2×#13063256C2211yescharacteristic
59C2×#13063256C2211yescharacteristic
60C2×Dic43⋊C8C2211yescharacteristic
61C2×Dic43⋊C8C2211yescharacteristic
62C2×#13063250C2211yescharacteristic
63C2×#13063250C2211yescharacteristic
64C2×#13063248C2211yescharacteristic
65C2×#13063246C2211yescharacteristic
66C2×#13063236C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C2×#125×C43C2211yescharacteristic
70C2×C4×D4×C43C2211yescharacteristic
71C43×#478C2218yes—
72C2×#107×C43C2211yescharacteristic
73C2×#106×C43C2211yescharacteristic
74C2×C4⋊C8×C43C2211yescharacteristic
75C2×#102×C43C2211yescharacteristic
76C2×#102×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86—21no—
80C22×Dic86—21no—
81C22×Dic86—28no—
82C22×Dic86—48no—
83C22×Dic86D411yescharacteristic
84C22×Dic86C2311yescharacteristic
85C23×Dic43—21no—
86C23×Dic43—21no—
87C2×#10621883Q818yescomplemented
88C2×#10621883C2314yes—
89C22×C43⋊C8C2311yescharacteristic
90C22×C43⋊C8C2311yescharacteristic
91#13063325—22no—
92#13063325C2314yes—
93#13063324—28no—
94#13063324—22no—
95#13063324—22no—
96#13063324—22no—
97#13063324C2314yes—
98#13063324C2314yes—
99#13063324C2314yes—
100#13063316—22no—
101#13063316C2314yes—
102#13063315—28no—
103#13063315—28no—
104#13063304—28no—
105#13063302—28no—
106#13063302—28no—
107C4×Dic86—22no—
108C4×Dic86D414yes—
109C4×Dic86C2314yes—
110C4×Dic86C2314yes—
111#13063290—28no—
112#13063290—22no—
113#13063290—22no—
114#13063290C2314yes—
115#13063290C2314yes—
116D4×Dic43—22no—
117D4×Dic43—22no—
118D4×Dic43C2314yes—
119D4×Dic43C2314yes—
120C2×C4⋊Dic43—21no—
121C2×C4⋊Dic43—21no—
122C2×C4⋊Dic43D411yescharacteristic
123C2×C4⋊Dic43C2311yescharacteristic
124C2×C4⋊Dic43C2311yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×Dic43⋊C4—21no—
132C2×Dic43⋊C4—21no—
133C2×Dic43⋊C4D411yescharacteristic
134C2×Dic43⋊C4D411yescharacteristic
135C2×C22⋊Dic43—21no—
136C2×C22⋊Dic43—21no—
137C2×C4×Dic43—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43—21no—
140C2×C4×Dic43C2311yescharacteristic
141C2×C4×Dic43C2311yescharacteristic
142#13063259C2314yes—
143#13063259C2314yes—
144#13063258C2314yes—
145#13063258C2314yes—
146#13063258C2314yes—
147#13063256C2314yes—
148#13063256C2314yes—
149Dic43⋊C8C2314yes—
150Dic43⋊C8C2314yes—
151#13063250C2314yes—
152#13063250C2314yes—
153#13063248C2314yes—
154#13063246C2314yes—
155#13063236C2314yes—
156#13063235C2314yes—
157C8×Dic43C2314yes—
158C22×D4×C43C2311yescharacteristic
159C23×C4×C43—21no—
160C22×C8×C43C2311yescharacteristic
161C22×C8×C43C2311yescharacteristic
162#125×C43—22no—
163#125×C43C2314yes—
164C4×D4×C43—22no—
165C4×D4×C43C2314yes—
166C2×C4⋊C4×C43—21no—
167C2×C4⋊C4×C43—21no—
168C2×C4⋊C4×C43C2311yescharacteristic
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C22⋊C4×C43—21no—
172C2×C42×C43C2311yescharacteristic
173#107×C43C2314yes—
174#106×C43C2314yes—
175C4⋊C8×C43C2314yes—
176#102×C43C2314yes—
177#102×C43C2314yes—
178C24×C43—21no—
179C2×D4×C43—21no—
180C2×D4×C43—22no—
181C2×D4×C43C2×Q814yes—
182C2×D4×C43C2412yes—
183C22×C4×C43—24no—
184C22×C4×C43—21no—
185C22×C4×C43—21no—
186C22×C4×C43—21no—
187C22×C4×C43—44no—
188C22×C4×C43C2×D411yescharacteristic
189C22×C4×C43C2×D411yescharacteristic
190C22×C4×C43C2411yescharacteristic
191C22×Dic43—24no—
192C22×Dic43—24no—
193C22×Dic43—21no—
194C22×Dic43—21no—
195C22×Dic43—21no—
196C22×Dic43—21no—
197C22×Dic43—44no—
198C22×Dic43—44no—
199C22×Dic43C2×D411yescharacteristic
200C22×Dic43C2×D411yescharacteristic
201C22×Dic43C2×D411yescharacteristic
202C22×Dic43C2×D411yescharacteristic
203C2×Dic86—21no—
204C2×Dic86—22no—
205C2×Dic86—24no—
206C2×Dic86—24no—
207C2×Dic86—24no—
208C2×Dic86—24no—
209C2×Dic86—24no—
210C2×Dic86—432no—
211C2×Dic86—44no—
212C2×Dic86—44no—
213C2×Dic86—44no—
214C2×Dic86—44no—
215C2×Dic86C2×D414yes—
216C2×Dic86C2×Q814yescomplemented
217C2×Dic86C2412yes—
218C2×C8×C43—22no—
219C2×C8×C43—22no—
220C2×C8×C43C2412yes—
221C2×C8×C43C2412yes—
222C4⋊C4×C43—24no—
223C4⋊C4×C43—24no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43C2412yes—
228C4⋊C4×C43C2412yes—
229C4⋊C4×C43C2412yes—
230C22⋊C4×C43—24no—
231C42×C43C2×D412yes—
232C42×C43C2412yes—
233C22⋊Dic43—24no—
234C22⋊Dic43—24no—
235#10621883C2×Q8116yescomplemented
236C4⋊Dic43—24no—
237C4⋊Dic43—21no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43—24no—
241C4⋊Dic43C2×D414yes—
242C4⋊Dic43C2412yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245Dic43⋊C4—24no—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4C2×D414yes—
253Dic43⋊C4C2×D414yes—
254C4×Dic43—24no—
255C4×Dic43—24no—
256C4×Dic43—24no—
257C4×Dic43C2×D412yes—
258C4×Dic43C2×D412yes—
259C4×Dic43C2412yes—
260C4×Dic43C2412yes—
261C2×C43⋊C8—22no—
262C2×C43⋊C8C2×Q814yescomplemented
263C2×C43⋊C8C2412yes—
264C2×C43⋊C8C2412yes—
265C23×C43—24no—
266C23×C43—22no—
267C23×C43—42no—
268C23×C43—42no—
269C23×C43C22×D411yescharacteristic
270D4×C43—24no—
271D4×C43—22no—
272D4×C43C22×Q814yes—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—22no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—48no—
279C2×C4×C43—42no—
280C2×C4×C43—42no—
281C2×C4×C43—42no—
282C2×C4×C43C22×D412yes—
283C2×C4×C43C22×D412yes—
284C2×C4×C43C22×D411yescharacteristic
285C2×C4×C43C22×Q812yes—
286C2×C4×C432−1+412yes—
287C2×C4×C43C2511yescharacteristic
288C2×Dic43—24no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—48no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—48no—
301C2×Dic43AGL(1,ℤ/8)14yes—
302C2×Dic43C22×D412yes—
303C2×Dic43C22×D412yes—
304C2×Dic43C22×D412yes—
305C2×Dic43C22×D412yes—
306Dic86—24no—
307Dic86—22no—
308Dic86—28no—
309Dic86—48no—
310Dic86—48no—
311Dic86—48no—
312Dic86—48no—
313Dic86C22×Q814yescomplemented
314C8×C43—22no—
315C8×C43—22no—
316C43⋊C8—22no—
317C43⋊C8C22×Q814yescomplemented
318C2×#3386—431nomaximal, Sylow
319C22×C43—24no—
320C22×C43—48no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43D4×Q812yes—
324C22×C43C2×AGL(1,ℤ/8)12yes—
325C22×C43#57812yes—
326C22×C43C23×D411yescharacteristic
327C4×C43—22no—
328C4×C43—22no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43D4×Q812yes—
333C4×C43C23×Q811yescharacteristic
334C4×C43C2×2−1+411yescharacteristic
335Dic43—24no—
336Dic43—22no—
337Dic43—22no—
338Dic43—22no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43C2×AGL(1,ℤ/8)14yes—
343C2×#557—431no—
344C2×D4×Q8—431no—
345#3386—4316no—
346C2×#501—431no—
347C2×#501—431no—
348C2×#500—431no—
349C2×#477—431no—
350C2×#477—431no—
351C2×#475—431no—
352C2×#478—431no—
353C2×#478D4311yescharacteristic
354C2×#474—431no—
355C2×#446—431no—
356C2×#440—431no—
357C2×#440—431no—
358C2×C4×SD16—431no—
359C2×C43—44no—
360C2×C43#338614yescomplemented
361C2×C43C2×D4×Q811yescharacteristic
362C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
363C2×C43C2×#57811yescharacteristic
364C23×Q8—861no—
365C22×SD16—431no—
366#557—438no—
367#557—864no—
368D4×Q8—438no—
369D4×Q8—864no—
370C2×C4⋊Q8—431no—
371C2×C4⋊Q8—431no—
372C2×C4⋊Q8—431no—
373C2×C4⋊Q8—431no—
374C2×C4⋊Q8—861no—
375C2×#125—431no—
376C2×#125—861no—
377C2×#125—861no—
378C2×#125C2×D4311yescharacteristic
379C2×C22⋊Q8—861no—
380C2×C22⋊Q8—861no—
381C2×C22⋊Q8—861no—
382C2×C4×Q8—431no—
383C2×C4×Q8—431no—
384C2×C4×Q8—431no—
385C2×C4×Q8—431no—
386C2×C4×Q8—861no—
387C2×C4×D4—431no—
388C2×C4×D4—431no—
389C2×C4×D4C2×D4311yescharacteristic
390#501—438no—
391#501—438no—
392#500—438no—
393#478—438no—
394#478C2×D4318yes—
395#477—438no—
396#477—438no—
397#475—438no—
398#474—438no—
399#446—438no—
400#440—438no—
401#440—438no—
402C4×SD16—438no—
403C2×#107—431no—
404C2×#107—431no—
405C2×#107—431no—
406C2×#107—431no—
407C2×#107—431no—
408C2×#107C2×D4311yescharacteristic
409C2×#106—431no—
410C2×#106—431no—
411C2×#106C2×D4311yescharacteristic
412C2×C4⋊C8—431no—
413C2×C4⋊C8—431no—
414C2×C4⋊C8C2×D4311yescharacteristic
415C2×#103—431no—
416C2×#103—431no—
417C2×#103—431no—
418C2×#102—431no—
419C2×#102C2×D4311yescharacteristic
420C2×#102C2×D4311yescharacteristic
421C2×#97—431no—
422C2×#97—431no—
423C2×C4×C8—431no—
424C43C2×#338611yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×Q8—431no—
427C22×Q8—861no—
428C22×Q8—861no—
429C22×Q8—861no—
430C22×Q8—868no—
431C22×Q8—861no—
432C22×Q8—1728no—
433C22×D4C22×D4311yescharacteristic
434C23×C4—21no—
435C23×C4—861no—
436C23×C4—861no—
437C2×SD16—438no—
438C2×SD16—434no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C4⋊Q8—434no—
444C4⋊Q8—434no—
445C4⋊Q8—434no—
446C4⋊Q8—434no—
447C4⋊Q8—862no—
448C4⋊Q8—862no—
449C4⋊Q8—862no—
450C4⋊Q8—868no—
451C4⋊Q8—862no—
452#125—22no—
453#125—434no—
454#125—862no—
455#125—868no—
456#125—868no—
457#125C22×D4314yes—
458C22⋊Q8—868no—
459C22⋊Q8—868no—
460C22⋊Q8—868no—
461C4×Q8—434no—
462C4×Q8—434no—
463C4×Q8—434no—
464C4×Q8—434no—
465C4×Q8—434no—
466C4×Q8—862no—
467C4×Q8—862no—
468C4×Q8—868no—
469C4×Q8—862no—
470C4×D4—22no—
471C4×D4—434no—
472C4×D4—434no—
473C4×D4—862no—
474C4×D4—862no—
475C4×D4C22×D4314yes—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—431no—
481C2×C4⋊C4—431no—
482C2×C4⋊C4—431no—
483C2×C4⋊C4—431no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—861no—
493C2×C4⋊C4C22×D4311yescharacteristic
494C2×C4⋊C4C22×D4311yescharacteristic
495C2×C4⋊C4C22×D4311yescharacteristic
496C2×C22⋊C4—21no—
497C2×C22⋊C4—861no—
498C2×C22⋊C4—861no—
499C2×C42—431no—
500C2×C42—431no—
501C2×C42—861no—
502C2×C42—861no—
503C2×C42—861no—
504C2×C42C22×D4311yescharacteristic
505#107—434no—
506#107—434no—
507#107—434no—
508#107—434no—
509#107—434no—
510#107C22×D4314yes—
511#106—434no—
512#106—434no—
513#106C22×D4314yes—
514C4⋊C8—434no—
515C4⋊C8—434no—
516C4⋊C8C22×D4314yes—
517#103—434no—
518#103—434no—
519#103—434no—
520#102—434no—
521#102C22×D4314yes—
522#102C22×D4314yes—
523#97—434no—
524#97—434no—
525C4×C8—434no—
526C24—21no—
527C2×Q8—434no—
528C2×Q8—434no—
529C2×Q8—432no—
530C2×Q8—864no—
531C2×Q8—864no—
532C2×Q8—864no—
533C2×Q8—864no—
534C2×Q8—861no—
535C2×Q8—864no—
536C2×Q8—862no—
537C2×Q8—1724no—
538C2×Q8—1724no—
539C2×Q8—1724no—
540C2×Q8—1724no—
541C2×Q8—17232no—
542C2×D4—21no—
543C2×D4—22no—
544C2×D4Q8×D4314yes—
545C2×D4C23×D4312yes—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—44no—
551C22×C4—431no—
552C22×C4—431no—
553C22×C4—431no—
554C22×C4—431no—
555C22×C4—864no—
556C22×C4—864no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—1724no—
562C22×C4—1724no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566SD16—4316no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—434no—
570C2×C8—432no—
571C2×C8—432no—
572C2×C8—862no—
573C2×C8C23×D4312yes—
574C2×C8C23×D4312yes—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—434no—
581C4⋊C4—434no—
582C4⋊C4—434no—
583C4⋊C4—432no—
584C4⋊C4—432no—
585C4⋊C4—432no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—864no—
592C4⋊C4—864no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—864no—
597C4⋊C4—864no—
598C4⋊C4C23×D4312yes—
599C4⋊C4C23×D4312yes—
600C4⋊C4C23×D4312yes—
601C22⋊C4—24no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C42—432no—
605C42—432no—
606C42—432no—
607C42—432no—
608C42—864no—
609C42—864no—
610C42—864no—
611C42D4×D4312yes—
612C42C23×D4312yes—
613C23—24no—
614C23—22no—
615C23—42no—
616C23—42no—
617C23C2×D4×D4311yescharacteristic
618Q8—434no—
619Q8—868no—
620Q8—864no—
621Q8—862no—
622Q8—1728no—
623Q8—1728no—
624Q8—1728no—
625Q8—1728no—
626D4—24no—
627D4—22no—
628D4C2×Q8×D4314yes—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—434no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—432no—
642C2×C4—432no—
643C2×C4—864no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—1728no—
652C2×C4—1728no—
653C2×C4—1722no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4C2×D4×D4312yes—
657C2×C4C2×D4×D4312yes—
658C2×C4C2×D4×D4311yescharacteristic
659C2×C4C2×Q8×D4312yes—
660C2×C4#1306337212yes—
661C2×C4C24×D4311yescharacteristic
662C8—22no—
663C8—22no—
664C8—434no—
665C8—862no—
666C22—24no—
667C22—42no—
668C22—42no—
669C22—48no—
670C22#1458356212yes—
671C22AGL(1,ℤ/8)×D4312yes—
672C22#1458371312yes—
673C22C22×D4×D4311yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—434no—
680C4—862no—
681C4—864no—
682C4—862no—
683C4—862no—
684C4—1722no—
685C4—1722no—
686C4—1722no—
687C4#1458356212yes—
688C4C22×Q8×D4311yescharacteristic
689C4C2×#1306337211yescharacteristic
690C2—44no—
691C2#1914751114yesdirect product factor
692C2C2×#1458356211yescharacteristic
693C2C2×AGL(1,ℤ/8)×D4311yescharacteristic
694C2C2×#1458371311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#478C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenterC2×#478D43
hypocenterC43C2×#3386
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#14583626C2semidirect
3. #19147511C2direct (N × H)
4. C2×#14583309C2semidirect
5. C2×#14583306C2semidirect
6. C2×#14583303C2semidirect
7. C2×#14583195C2semidirect
8. C2×#14583193C2semidirect
9. C2×#14583183C2semidirect
12. C2×#14583028C2semidirect
20. #14583626C22semidirect
41. #14583309C22semidirect
42. #14583306C22semidirect
43. #14583303C22semidirect
45. #14583195C22semidirect
46. #14583193C22semidirect
47. #14583183C22semidirect
49. #14583028C22semidirect
87. C2×#10621883Q8semidirect
216. C2×Dic86C2×Q8semidirect
235. #10621883C2×Q8semidirect
262. C2×C43⋊C8C2×Q8semidirect
313. Dic86C22×Q8semidirect
317. C43⋊C8C22×Q8semidirect
360. C2×C43#3386semidirect
424. C43C2×#3386semidirect
691. C2#19147511direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836262
C2×D4×Dic862
#191475112
C2×#145833092
C2×#145833062
C2×#145833032
C2×#145831952
C2×#145831932
C2×#145831832
C2×#145831972
C2×#145831772
C2×#145830282
C2×#145829992
C2×#145829962
C2×#145829902
C2×C43×#4782
C2×#338643