Finite Group Databasebeta

← C2×#19145876 #25968816

Subgroups — C2×#19145876 #25968816

Order 11008.

1742 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
1C2×#14583527C211yesmaximal, characteristic, complemented
2C2×#14583516C211yesmaximal, characteristic
3#19145876C2116yesmaximal, direct product factor
4C2×#14583306C211yesmaximal, characteristic, complemented
5C2×#14583303C211yesmaximal, characteristic, complemented
6C2×#14583257C211yesmaximal, characteristic, complemented
7C2×#14583252C211yesmaximal, characteristic, complemented
8C2×#14583235C211yesmaximal, characteristic, complemented
9C2×#14583240C211yesmaximal, characteristic, complemented
10C2×#14583210C211yesmaximal, characteristic
11C2×#14583209C211yesmaximal, characteristic, complemented
12C2×#14583193C211yesmaximal, characteristic, complemented
13C2×#14583197C211yesmaximal, characteristic, complemented
14C2×#14583177C211yesmaximal, characteristic, complemented
15C2×#14582957C211yesmaximal, characteristic, complemented
16C2×C43×#482C211yesmaximal, characteristic
17#14583527—24no—
18#14583527C2218yescomplemented
19#14583516—24no—
20#14583516C2218yes—
21C2×#13063325—21no—
22C2×#13063324C2211yescharacteristic
23C2×#13063324C2211yescharacteristic
24C2×#13063324C2211yescharacteristic
25C2×#13063318—21no—
26C2×#13063317—21no—
27C2×#13063316C2211yescharacteristic
28C2×#13063316C2211yescharacteristic
29C2×#13063312—21no—
30C2×#13063312C2211yescharacteristic
31C2×#13063306—21no—
32C2×#13063304C2211yescharacteristic
33C2×#13063302—21no—
34C2×#13063302—21no—
35C2×#13063302—21no—
36C2×#13063290C2211yescharacteristic
37C2×D4×Dic43C2211yescharacteristic
38C2×#13063284C2211yescharacteristic
39C22×C4⋊Dic43C2211yescharacteristic
40#14583306C2218yescomplemented
41#14583303C2218yescomplemented
42#14583257C2218yescomplemented
43#14583252C2218yescomplemented
44#14583240C2218yescomplemented
45#14583235C2218yescomplemented
46#14583210C2218yes—
47#14583209C2218yescomplemented
48#14583197C2218yescomplemented
49#14583193C2218yescomplemented
50#14583177C2218yescomplemented
51#14582957C2218yescomplemented
52C2×#13063259C2211yescharacteristic
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063258C2211yescharacteristic
57C2×#13063256C2211yescharacteristic
58C2×Dic43⋊C8C2211yescharacteristic
59C2×Dic43⋊C8C2211yescharacteristic
60C2×#13063250C2211yescharacteristic
61C2×#13063250C2211yescharacteristic
62C2×#13063248C2211yescharacteristic
63C2×#13063248C2211yescharacteristic
64C2×#13063246C2211yescharacteristic
65C2×#13063246C2211yescharacteristic
66C2×C22⋊(C43⋊C8)C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C2×#121×C43C2211yescharacteristic
70C2×#117×C43C2211yescharacteristic
71C43×#482C2218yes—
72C2×#107×C43C2211yescharacteristic
73C2×#106×C43C2211yescharacteristic
74C2×#102×C43C2211yescharacteristic
75C2×#102×C43C2211yescharacteristic
76C2×C22⋊C8×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86—21no—
80C22×Dic86C2311yescharacteristic
81C23×Dic43—21no—
82C23×Dic43—21no—
83C22×C43⋊C8C2311yescharacteristic
84C22×C43⋊C8C2311yescharacteristic
85#13063325—28no—
86#13063324—22no—
87#13063324—22no—
88#13063324—22no—
89#13063324C2314yes—
90#13063324C2314yes—
91#13063324C2314yes—
92#13063318—28no—
93#13063317—28no—
94#13063316—22no—
95#13063316—22no—
96#13063316C2314yes—
97#13063316C2314yes—
98#13063312—28no—
99#13063312—22no—
100#13063312C2314yes—
101#13063306—28no—
102#13063304—22no—
103#13063304C2314yes—
104#13063302—28no—
105#13063302—28no—
106#13063302—28no—
107#13063290—22no—
108#13063290C2314yes—
109D4×Dic43—22no—
110D4×Dic43C2314yes—
111#13063284D414yes—
112#13063284C2314yes—
113C2×C4⋊Dic43—21no—
114C2×C4⋊Dic43—22no—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—21no—
117C2×C4⋊Dic43D411yescharacteristic
118C2×C4⋊Dic43D411yescharacteristic
119C2×C4⋊Dic43C2311yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2314yes—
122C2×C4⋊Dic43C2311yescharacteristic
123C2×Dic43⋊C4—21no—
124C2×Dic43⋊C4—21no—
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×C22⋊Dic43—21no—
131C2×C22⋊Dic43—21no—
132C2×C22⋊Dic43—21no—
133C2×C22⋊Dic43—21no—
134C2×C22⋊Dic43D411yescharacteristic
135C2×C22⋊Dic43D411yescharacteristic
136C2×C4×Dic43—21no—
137C2×C4×Dic43C2311yescharacteristic
138C2×C4×Dic43C2311yescharacteristic
139#13063259C2314yes—
140#13063259C2314yes—
141#13063258C2314yes—
142#13063258C2314yes—
143#13063258C2314yes—
144#13063256C2314yes—
145Dic43⋊C8C2314yes—
146Dic43⋊C8C2314yes—
147#13063250C2314yes—
148#13063250C2314yes—
149#13063248C2314yes—
150#13063248C2314yes—
151#13063246C2314yes—
152#13063246C2314yes—
153C22⋊(C43⋊C8)C2314yes—
154#13063235C2314yes—
155C8×Dic43C2314yes—
156C22×D4×C43—21no—
157C22×D4×C43C2311yescharacteristic
158C23×C4×C43C2311yescharacteristic
159C22×C8×C43C2311yescharacteristic
160C22×C8×C43C2311yescharacteristic
161#121×C43—22no—
162#121×C43C2314yes—
163#117×C43—22no—
164#117×C43C2314yes—
165C2×C4⋊C4×C43C2311yescharacteristic
166C2×C4⋊C4×C43C2311yescharacteristic
167C2×C4⋊C4×C43C2311yescharacteristic
168C2×C22⋊C4×C43—21no—
169C2×C22⋊C4×C43—21no—
170C2×C42×C43—21no—
171#107×C43C2314yes—
172#106×C43C2314yes—
173#102×C43C2314yes—
174#102×C43C2314yes—
175C22⋊C8×C43C2314yes—
176C24×C43—21no—
177C24×C43C2×D411yescharacteristic
178C2×D4×C43—21no—
179C2×D4×C43—24no—
180C2×D4×C43—22no—
181C2×D4×C43—22no—
182C2×D4×C43—82no—
183C2×D4×C43C2412yes—
184C22×C4×C43—22no—
185C22×C4×C43—22no—
186C22×C4×C43—21no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43C2×D411yescharacteristic
190C22×C4×C43C2×D412yes—
191C22×C4×C43C2412yes—
192C22×C4×C43C2411yescharacteristic
193C22×Dic43—24no—
194C22×Dic43—21no—
195C22×Dic43—21no—
196C22×Dic43—21no—
197C22×Dic43—21no—
198C22×Dic43—24no—
199C22×Dic43—82no—
200C22×Dic43—82no—
201C22×Dic43C2×D411yescharacteristic
202C22×Dic43C2×D411yescharacteristic
203C22×Dic43C2×D411yescharacteristic
204C22×Dic43C2×D411yescharacteristic
205C2×Dic86—22no—
206C2×Dic86—22no—
207C2×Dic86—21no—
208C2×Dic86—24no—
209C2×Dic86—24no—
210C2×Dic86—24no—
211C2×Dic86—82no—
212C2×Dic86—82no—
213C2×Dic86—82no—
214C2×Dic86C2412yes—
215C2×C8×C43—22no—
216C2×C8×C43—22no—
217C2×C8×C43C2412yes—
218C2×C8×C43C2412yes—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43C2412yes—
223C4⋊C4×C43C2412yes—
224C4⋊C4×C43C2412yes—
225C22⋊C4×C43—24no—
226C22⋊C4×C43—24no—
227C42×C43—24no—
228C22⋊Dic43—24no—
229C22⋊Dic43—24no—
230C22⋊Dic43—24no—
231C22⋊Dic43—24no—
232C22⋊Dic43C2×D414yes—
233C22⋊Dic43C2×D414yes—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236C4⋊Dic43—24no—
237C4⋊Dic43—21no—
238C4⋊Dic43—24no—
239C4⋊Dic43—24no—
240C4⋊Dic43C2×D414yes—
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—
252C4×Dic43—24no—
253C4×Dic43C2×D412yes—
254C4×Dic43C2×D412yes—
255C4×Dic43C2412yes—
256C4×Dic43C2412yes—
257C2×C43⋊C8—22no—
258C2×C43⋊C8—22no—
259C2×C43⋊C8C2412yes—
260C2×C43⋊C8C2412yes—
261C23×C43—22no—
262C23×C43—22no—
263C23×C43—22no—
264C23×C43—22no—
265C23×C43—42no—
266C23×C43—42no—
267C23×C43—42no—
268C23×C43C22×D412yes—
269C23×C43C22×D411yescharacteristic
270D4×C43—22no—
271D4×C43—22no—
272D4×C43—42no—
273D4×C43—84no—
274C2×C4×C43—22no—
275C2×C4×C43—24no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—42no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43C22×D412yes—
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C432−1+412yes—
287C2×C4×C432−1+412yes—
288C2×C4×C43C2511yescharacteristic
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—84no—
302C2×Dic43—84no—
303C2×Dic43C22×D412yes—
304C2×Dic43C22×D412yes—
305C2×Dic43C22×D412yes—
306C2×Dic43C22×D412yes—
307Dic86—22no—
308Dic86—22no—
309Dic86—42no—
310Dic86—84no—
311Dic86—84no—
312Dic86—84no—
313C8×C43—22no—
314C8×C43—22no—
315C43⋊C8—22no—
316C43⋊C8—22no—
317C2×#3243—431nomaximal, Sylow
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—44no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—84no—
326C22×C43#53612yes—
327C22×C43#57612yes—
328C22×C43#57812yes—
329C22×C43C23×D411yescharacteristic
330C4×C43—22no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43#53612yes—
335C4×C43C2×2−1+411yescharacteristic
336C4×C43C2×2−1+411yescharacteristic
337Dic43—22no—
338Dic43—22no—
339Dic43—22no—
340Dic43—22no—
341Dic43—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345C2×#544—431no—
346C2×#542—431no—
347#3243—4316no—
348C2×#501—431no—
349C2×#500—431no—
350C2×#489—431no—
351C2×#488—431no—
352C2×#484—431no—
353C2×#485—431no—
354C2×#482D4311yescharacteristic
355C2×#480—431no—
356C2×#479—431no—
357C2×#477—431no—
358C2×#478—431no—
359C2×#474—431no—
360C2×#433—431no—
361C2×C43—42no—
362C2×C43—82no—
363C2×C43#324314yescomplemented
364C2×C43C2×#53611yescharacteristic
365C2×C43C2×#57611yescharacteristic
366C2×C43C2×#57811yescharacteristic
367#544—438no—
368#544—864no—
369#542—438no—
370#542—864no—
371C2×C4⋊Q8—431no—
372C2×C4⋊Q8—431no—
373C2×C4⋊Q8—431no—
374C2×C4⋊Q8—861no—
375C2×#126—861no—
376C2×#125—431no—
377C2×#125—431no—
378C2×#125—861no—
379C2×#124—431no—
380C2×#124—861no—
381C2×#123—861no—
382C2×C22⋊Q8—431no—
383C2×C22⋊Q8—861no—
384C2×C22⋊Q8—861no—
385C2×C22⋊Q8—861no—
386C2×#121C2×D4311yescharacteristic
387C2×C4×Q8—431no—
388C2×C4×D4—431no—
389C2×#117—431no—
390C2×#117C2×D4311yescharacteristic
391C22×C4⋊C4—431no—
392#501—438no—
393#500—438no—
394#489—438no—
395#488—438no—
396#485—438no—
397#484—438no—
398#482C2×D4318yes—
399#480—438no—
400#479—438no—
401#478—438no—
402#477—438no—
403#474—438no—
404#433—438no—
405C2×#107—431no—
406C2×#107—431no—
407C2×#107—431no—
408C2×#107—431no—
409C2×#107—431no—
410C2×#107C2×D4311yescharacteristic
411C2×#106—431no—
412C2×#106C2×D4311yescharacteristic
413C2×C4⋊C8—431no—
414C2×C4⋊C8—431no—
415C2×#103—431no—
416C2×#103—431no—
417C2×#103—431no—
418C2×#103—431no—
419C2×#102—431no—
420C2×#102—431no—
421C2×#102C2×D4311yescharacteristic
422C2×#102C2×D4311yescharacteristic
423C2×C22⋊C8—431no—
424C2×C22⋊C8C2×D4311yescharacteristic
425C2×#97—431no—
426C2×C4×C8—431no—
427C43C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—431no—
429C22×Q8—861no—
430C22×Q8—861no—
431C22×Q8—861no—
432C22×D4—21no—
433C22×D4C22×D4311yescharacteristic
434C23×C4—861no—
435C23×C4—861no—
436C23×C4C22×D4311yescharacteristic
437C22×C8—431no—
438C22×C8—431no—
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441C4⋊Q8—434no—
442C4⋊Q8—434no—
443C4⋊Q8—434no—
444C4⋊Q8—868no—
445C4⋊Q8—862no—
446C4⋊Q8—862no—
447C4⋊Q8—862no—
448#126—868no—
449#125—434no—
450#125—434no—
451#125—868no—
452#125—862no—
453#125—862no—
454#124—434no—
455#124—862no—
456#124—868no—
457#123—868no—
458C22⋊Q8—434no—
459C22⋊Q8—868no—
460C22⋊Q8—868no—
461C22⋊Q8—868no—
462C22⋊Q8—862no—
463#121—22no—
464#121C22×D4314yes—
465C4×Q8—434no—
466C4×Q8—862no—
467C4×D4—434no—
468C4×D4—862no—
469#117—22no—
470#117—434no—
471#117—434no—
472#117C22×D4314yes—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—434no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—862no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4C22×D4311yescharacteristic
491C2×C4⋊C4C22×D4311yescharacteristic
492C2×C4⋊C4C22×D4311yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—431no—
496C2×C22⋊C4—431no—
497C2×C22⋊C4—861no—
498C2×C22⋊C4—861no—
499C2×C22⋊C4—861no—
500C2×C22⋊C4—861no—
501C2×C42—21no—
502C2×C42—431no—
503C2×C42—431no—
504C2×C42—861no—
505#107—434no—
506#107—434no—
507#107—434no—
508#107—434no—
509#107—434no—
510#107C22×D4314yes—
511#106—434no—
512#106C22×D4314yes—
513C4⋊C8—434no—
514C4⋊C8—434no—
515#103—434no—
516#103—434no—
517#103—434no—
518#103—434no—
519#102—434no—
520#102—434no—
521#102C22×D4314yes—
522#102C22×D4314yes—
523C22⋊C8—434no—
524C22⋊C8C22×D4314yes—
525#97—434no—
526C4×C8—434no—
527C24—21no—
528C24D4×D4311yescharacteristic
529C2×Q8—432no—
530C2×Q8—864no—
531C2×Q8—864no—
532C2×Q8—864no—
533C2×Q8—861no—
534C2×Q8—862no—
535C2×Q8—862no—
536C2×Q8—3442no—
537C2×Q8—3442no—
538C2×Q8—3442no—
539C2×D4—24no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—82no—
544C2×D4C23×D4312yes—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—431no—
551C22×C4—431no—
552C22×C4—431no—
553C22×C4—431no—
554C22×C4—864no—
555C22×C4—864no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—3442no—
561C22×C4—3442no—
562C22×C4D4×D4312yes—
563C22×C4D4×D4311yescharacteristic
564C22×C4C23×D4312yes—
565C22×C4C23×D4311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—432no—
569C2×C8—432no—
570C2×C8—862no—
571C2×C8—862no—
572C2×C8C23×D4312yes—
573C2×C8C23×D4312yes—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—434no—
578C4⋊C4—434no—
579C4⋊C4—432no—
580C4⋊C4—432no—
581C4⋊C4—432no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—864no—
595C4⋊C4C23×D4312yes—
596C4⋊C4C23×D4312yes—
597C4⋊C4C23×D4312yes—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—434no—
601C22⋊C4—434no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C22⋊C4—864no—
606C42—24no—
607C42—432no—
608C42—432no—
609C42—432no—
610C42—432no—
611C42—864no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D4312yes—
620C23C2×D4×D4311yescharacteristic
621Q8—862no—
622Q8—862no—
623Q8—3444no—
624Q8—3444no—
625Q8—3444no—
626Q8—1722no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—84no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—432no—
642C2×C4—432no—
643C2×C4—432no—
644C2×C4—432no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—3444no—
654C2×C4—3444no—
655C2×C4—1722no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4—1722no—
659C2×C4C2×D4×D4312yes—
660C2×C4C2×D4×D4311yescharacteristic
661C2×C4#1306337212yes—
662C2×C4#1306337212yes—
663C2×C4C24×D4311yescharacteristic
664C8—22no—
665C8—22no—
666C8—862no—
667C8—862no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#1458347112yes—
677C22#1458370312yes—
678C22#1458371312yes—
679C22C22×D4×D4311yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—862no—
685C4—862no—
686C4—862no—
687C4—862no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4#1458347112yes—
693C4C2×#1306337211yescharacteristic
694C4C2×#1306337211yescharacteristic
695C2—42no—
696C2—82no—
697C2#1914587614yesdirect product factor
698C2C2×#1458347111yescharacteristic
699C2C2×#1458370311yescharacteristic
700C2C2×#1458371311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#482C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
hypercenterC2×#482D43
hypocenterC43C2×#3243
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#14583527C2semidirect
3. #19145876C2direct (N × H)
4. C2×#14583306C2semidirect
5. C2×#14583303C2semidirect
6. C2×#14583257C2semidirect
7. C2×#14583252C2semidirect
8. C2×#14583235C2semidirect
9. C2×#14583240C2semidirect
11. C2×#14583209C2semidirect
12. C2×#14583193C2semidirect
13. C2×#14583197C2semidirect
14. C2×#14583177C2semidirect
15. C2×#14582957C2semidirect
18. #14583527C22semidirect
40. #14583306C22semidirect
41. #14583303C22semidirect
42. #14583257C22semidirect
43. #14583252C22semidirect
44. #14583240C22semidirect
45. #14583235C22semidirect
47. #14583209C22semidirect
48. #14583197C22semidirect
49. #14583193C22semidirect
50. #14583177C22semidirect
51. #14582957C22semidirect
363. C2×C43#3243semidirect
427. C43C2×#3243semidirect
697. C2#19145876direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835272
C2×#145835162
#191458762
C2×#145833062
C2×#145833032
C2×#145832572
C2×#145832522
C2×#145832352
C2×#145832402
C2×#145832102
C2×#145832092
C2×#145831932
C2×#145831972
C2×#145831772
C2×#145829572
C2×C43×#4822
C2×#324343