Finite Group Databasebeta

← C2×#19145873 #25968813

Subgroups — C2×#19145873 #25968813

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×#14583526C211yesmaximal, characteristic, complemented
2C2×#14583518C211yesmaximal, characteristic
3#19145873C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583302C211yesmaximal, characteristic, complemented
6C2×#14583253C211yesmaximal, characteristic, complemented
7C2×#14583233C211yesmaximal, characteristic, complemented
8C2×#14583238C211yesmaximal, characteristic, complemented
9C2×#14583222C211yesmaximal, characteristic
10C2×#14583211C211yesmaximal, characteristic
11C2×#14583204C211yesmaximal, characteristic, complemented
12C2×#14583192C211yesmaximal, characteristic, complemented
13C2×#14583201C211yesmaximal, characteristic, complemented
14C2×#14583177C211yesmaximal, characteristic, complemented
15C2×#14582961C211yesmaximal, characteristic, complemented
16C2×C43×#489C211yesmaximal, characteristic, complemented
17#14583526—24no—
18#14583526C2218yescomplemented
19#14583518—24no—
20#14583518C2218yes—
21C2×#13063325C2211yescharacteristic
22C2×#13063324C2211yescharacteristic
23C2×#13063323—21no—
24C2×#13063318—21no—
25C2×#13063317C2211yescharacteristic
26C2×#13063316C2211yescharacteristic
27C2×#13063315—21no—
28C2×#13063311—21no—
29C2×#13063309—21no—
30C2×#13063303—21no—
31C2×#13063302—21no—
32C2×#13063301—21no—
33C2×#13063301C2211yescharacteristic
34C2×#13063296C2211yescharacteristic
35C2×Q8×Dic43C2211yescharacteristic
36C2×D4×Dic43C2211yescharacteristic
37C2×#13063283C2211yescharacteristic
38C2×#13063282C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40#14583308C2218yescomplemented
41#14583302C2218yescomplemented
42#14583253C2218yescomplemented
43#14583238C2218yescomplemented
44#14583233C2218yescomplemented
45#14583222C2218yes—
46#14583211C2218yes—
47#14583204C2218yescomplemented
48#14583201C2218yescomplemented
49#14583192C2218yescomplemented
50#14583177C2218yescomplemented
51#14582961C2218yescomplemented
52C2×#13063259C2211yescharacteristic
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063258C2211yescharacteristic
57C2×#13063258C2211yescharacteristic
58C2×#13063257C2211yescharacteristic
59C2×#13063257C2211yescharacteristic
60C2×Dic43⋊C8C2211yescharacteristic
61C2×Dic43⋊C8C2211yescharacteristic
62C2×#13063249C2211yescharacteristic
63C2×#13063249C2211yescharacteristic
64C2×#13063246C2211yescharacteristic
65C2×#13063246C2211yescharacteristic
66C2×(C2×D43)⋊C8C2211yescharacteristic
67C2×(C2×D43)⋊C8C2211yescharacteristic
68C2×C4×C43⋊C8C2211yescharacteristic
69C2×C4⋊Q8×C43C2211yescharacteristic
70C2×#124×C43C2211yescharacteristic
71C43×#489C2218yescomplemented
72C2×#103×C43C2211yescharacteristic
73C2×#103×C43C2211yescharacteristic
74C2×#102×C43C2211yescharacteristic
75C2×#102×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×C22⋊D43—21no—
80C23×Dic43—21no—
81C22×C4×D43—21no—
82C22×C4×D43C2311yescharacteristic
83C22×C43⋊C8C2311yescharacteristic
84C22×C43⋊C8C2311yescharacteristic
85#13063325—22no—
86#13063325C2314yes—
87#13063324—22no—
88#13063324C2314yes—
89#13063323—28no—
90#13063318—28no—
91#13063317—22no—
92#13063317C2314yes—
93#13063316—22no—
94#13063316C2314yes—
95#13063315—28no—
96#13063311—28no—
97#13063309—28no—
98#13063303—28no—
99#13063302—28no—
100#13063301—22no—
101#13063301—28no—
102#13063301C2314yes—
103#13063296—22no—
104#13063296C2314yes—
105Q8×Dic43—22no—
106Q8×Dic43C2314yes—
107D4×Dic43—22no—
108D4×Dic43C2314yes—
109#13063283—22no—
110#13063283C2314yes—
111#13063282D414yes—
112#13063282C2314yes—
113C2×C4⋊Dic43—21no—
114C2×C4⋊Dic43—21no—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43C2311yescharacteristic
117C2×C4⋊Dic43C2311yescharacteristic
118C2×C4⋊Dic43C2311yescharacteristic
119C2×C4⋊Dic43C2311yescharacteristic
120C2×Dic43⋊C4—21no—
121C2×Dic43⋊C4—21no—
122C2×Dic43⋊C4—21no—
123C2×Dic43⋊C4—21no—
124C2×Dic43⋊C4—21no—
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4D411yescharacteristic
127C2×Dic43⋊C4D411yescharacteristic
128C4⋊C4×D43—22no—
129C4⋊C4×D43C2314yes—
130C2×C22⋊Dic43—21no—
131C2×C22⋊Dic43—21no—
132C2×(C2×D43)⋊C4—21no—
133C2×(C2×D43)⋊C4—21no—
134C2×(C2×D43)⋊C4D411yescharacteristic
135C2×(C2×D43)⋊C4D411yescharacteristic
136C2×C4×Dic43—21no—
137C2×C4×Dic43—21no—
138C2×C4×Dic43C2311yescharacteristic
139#13063259C2314yes—
140#13063259C2314yes—
141#13063258C2314yes—
142#13063258C2314yes—
143#13063258C2314yes—
144#13063258C2314yes—
145#13063257C2314yes—
146#13063257C2314yes—
147Dic43⋊C8C2314yes—
148Dic43⋊C8C2314yes—
149#13063249C2314yes—
150#13063249C2314yes—
151#13063246C2314yes—
152#13063246C2314yes—
153(C2×D43)⋊C8C2314yes—
154(C2×D43)⋊C8C2314yes—
155C4×C43⋊C8C2314yes—
156C22×Q8×C43—21no—
157C22×Q8×C43C2311yescharacteristic
158C22×D4×C43C2311yescharacteristic
159C22×C8×C43C2311yescharacteristic
160C22×C8×C43C2311yescharacteristic
161C4⋊Q8×C43—22no—
162C4⋊Q8×C43C2314yes—
163#124×C43—22no—
164#124×C43C2314yes—
165C2×C4⋊C4×C43—21no—
166C2×C4⋊C4×C43C2311yescharacteristic
167C2×C4⋊C4×C43C2311yescharacteristic
168C2×C22⋊C4×C43—21no—
169C2×C22⋊C4×C43—21no—
170C2×C42×C43C2311yescharacteristic
171#103×C43C2314yes—
172#103×C43C2314yes—
173#102×C43C2314yes—
174#102×C43C2314yes—
175#97×C43C2314yes—
176C24×C43—21no—
177C23×D43C2×D411yescharacteristic
178C2×Q8×C43—21no—
179C2×Q8×C43—24no—
180C2×Q8×C43—22no—
181C2×Q8×C43—22no—
182C2×Q8×C43—82no—
183C2×Q8×C43C2412yes—
184C2×D4×C43—21no—
185C2×D4×C43—22no—
186C2×D4×C43—22no—
187C2×D4×C43C2412yes—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2411yescharacteristic
194C2×C22⋊D43—24no—
195C2×C22⋊D43—82no—
196C22×Dic43—24no—
197C22×Dic43—21no—
198C22×Dic43—21no—
199C22×Dic43—21no—
200C22×Dic43—21no—
201C22×Dic43—82no—
202C22×Dic43C2×D411yescharacteristic
203C22×Dic43C2×D411yescharacteristic
204C22×Dic43C2×D411yescharacteristic
205C2×C4×D43—22no—
206C2×C4×D43—22no—
207C2×C4×D43—24no—
208C2×C4×D43—82no—
209C2×C4×D43C2×D412yes—
210C2×C4×D43C2412yes—
211C2×Dic86—24no—
212C2×Dic86—24no—
213C2×Dic86—82no—
214C2×Dic86—82no—
215C2×C8×C43—22no—
216C2×C8×C43—22no—
217C2×C8×C43C2412yes—
218C2×C8×C43C2412yes—
219C4⋊C4×C43—24no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43C2412yes—
223C4⋊C4×C43C2412yes—
224C22⋊C4×C43—24no—
225C22⋊C4×C43—24no—
226C42×C43C2×D412yes—
227C42×C43C2412yes—
228C22⋊Dic43—24no—
229C22⋊Dic43—24no—
230(C2×D43)⋊C4—24no—
231(C2×D43)⋊C4—24no—
232(C2×D43)⋊C4C2×D414yes—
233(C2×D43)⋊C4C2×D414yes—
234C4⋊Dic43—21no—
235C4⋊Dic43—24no—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238C4⋊Dic43—21no—
239C4⋊Dic43—24no—
240C4⋊Dic43—24no—
241C4⋊Dic43C2412yes—
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⋊C4C2×D414yes—
252Dic43⋊C4C2×D414yes—
253C4×Dic43—24no—
254C4×Dic43—24no—
255C4×Dic43C2×D412yes—
256C4×Dic43C2412yes—
257C2×C43⋊C8—22no—
258C2×C43⋊C8—22no—
259C2×C43⋊C8C2412yes—
260C2×C43⋊C8C2412yes—
261C23×C43—22no—
262C23×C43—42no—
263C23×C43—42no—
264C23×C43—42no—
265C23×C43C22×D411yescharacteristic
266C22×D43—22no—
267C22×D43—22no—
268C22×D43—22no—
269C22×D43C22×D412yes—
270Q8×C43—22no—
271Q8×C43—22no—
272Q8×C43—42no—
273Q8×C43—84no—
274D4×C43—22no—
275D4×C43—22no—
276D4×C43—42no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—22no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43—42no—
285C2×C4×C43C22×D412yes—
286C2×C4×C43C22×D412yes—
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C432−1+412yes—
289C2×C4×C432−1+412yes—
290C2×C4×C43C2511yescharacteristic
291C22⋊D43—84no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303C2×Dic43—84no—
304C2×Dic43C22×D412yes—
305C2×Dic43C22×D412yes—
306C2×Dic43C22×D412yes—
307C4×D43—24no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—84no—
311Dic86—84no—
312Dic86—84no—
313C8×C43—22no—
314C8×C43—22no—
315C43⋊C8—22no—
316C43⋊C8—22no—
317C2×#3243—431nomaximal, Sylow
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—84no—
322C22×C43#53612yes—
323C22×C43#57612yes—
324C22×C43#57812yes—
325C22×C43C23×D411yescharacteristic
326C2×D43—22no—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—44no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43#53612yes—
336C4×C43C2×2−1+411yescharacteristic
337C4×C43C2×2−1+411yescharacteristic
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×#489D4311yescharacteristic, complemented
351C2×#488—431no—
352C2×#484—431no—
353C2×#485—431no—
354C2×#482—431no—
355C2×#480—431no—
356C2×#479—431no—
357C2×#477—431no—
358C2×#478—431no—
359C2×#474—431no—
360C2×#433—431no—
361C2×C43—82no—
362C2×C43#324314yescomplemented
363C2×C43C2×#53611yescharacteristic
364C2×C43C2×#57611yescharacteristic
365C2×C43C2×#57811yescharacteristic
366D43—42no—
367#544—438no—
368#544—864no—
369#542—438no—
370#542—864no—
371C2×C4⋊Q8—431no—
372C2×C4⋊Q8—431no—
373C2×C4⋊Q8—861no—
374C2×C4⋊Q8C2×D4311yescharacteristic
375C2×#126—861no—
376C2×#125—431no—
377C2×#125—431no—
378C2×#125—861no—
379C2×#124—861no—
380C2×#124C2×D4311yescharacteristic
381C2×#123—861no—
382C2×C22⋊Q8—431no—
383C2×C22⋊Q8—861no—
384C2×C22⋊Q8—861no—
385C2×C22⋊Q8—861no—
386C2×#121—431no—
387C2×C4×Q8—431no—
388C2×C4×D4—431no—
389C2×#117—431no—
390C2×#117—431no—
391C22×C4⋊C4—431no—
392#501—438no—
393#500—438no—
394#489C2×D4318yescomplemented
395#488—438no—
396#485—438no—
397#484—438no—
398#482—438no—
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×#107—431no—
411C2×#106—431no—
412C2×#106—431no—
413C2×C4⋊C8—431no—
414C2×C4⋊C8—431no—
415C2×#103—431no—
416C2×#103—431no—
417C2×#103C2×D4311yescharacteristic
418C2×#103C2×D4311yescharacteristic
419C2×#102—431no—
420C2×#102—431no—
421C2×#102C2×D4311yescharacteristic
422C2×#102C2×D4311yescharacteristic
423C2×C22⋊C8—431no—
424C2×C22⋊C8—431no—
425C2×#97C2×D4311yescharacteristic
426C2×C4×C8—431no—
427C43C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—21no—
429C22×Q8—861no—
430C22×Q8—861no—
431C22×Q8C22×D4311yescharacteristic
432C22×D4—861no—
433C22×D4C22×D4311yescharacteristic
434C23×C4—431no—
435C23×C4—861no—
436C23×C4—861no—
437C22×C8—431no—
438C22×C8—431no—
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—434no—
443C4⋊Q8—434no—
444C4⋊Q8—862no—
445C4⋊Q8—868no—
446C4⋊Q8—862no—
447C4⋊Q8C22×D4314yes—
448#126—868no—
449#125—434no—
450#125—434no—
451#125—862no—
452#125—868no—
453#125—862no—
454#124—22no—
455#124—868no—
456#124C22×D4314yes—
457#123—868no—
458C22⋊Q8—434no—
459C22⋊Q8—868no—
460C22⋊Q8—868no—
461C22⋊Q8—868no—
462C22⋊Q8—862no—
463#121—434no—
464#121—862no—
465C4×Q8—434no—
466C4×Q8—862no—
467C4×D4—434no—
468C4×D4—862no—
469#117—434no—
470#117—434no—
471#117—434no—
472#117—862no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—434no—
481C2×C4⋊C4—862no—
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—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—861no—
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—431no—
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#107—434no—
511#106—434no—
512#106—434no—
513C4⋊C8—434no—
514C4⋊C8—434no—
515#103—434no—
516#103—434no—
517#103C22×D4314yes—
518#103C22×D4314yes—
519#102—434no—
520#102—434no—
521#102C22×D4314yes—
522#102C22×D4314yes—
523C22⋊C8—434no—
524C22⋊C8—434no—
525#97C22×D4314yes—
526C4×C8—434no—
527C24—21no—
528C24—431no—
529C2×Q8—21no—
530C2×Q8—24no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—82no—
534C2×Q8—864no—
535C2×Q8—864no—
536C2×Q8—3442no—
537C2×Q8—3442no—
538C2×Q8C23×D4312yes—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—864no—
543C2×D4—3442no—
544C2×D4C23×D4312yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—431no—
551C22×C4—432no—
552C22×C4—432no—
553C22×C4—864no—
554C22×C4—864no—
555C22×C4—862no—
556C22×C4—862no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—3442no—
562C22×C4—3442no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
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—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—434no—
578C4⋊C4—434no—
579C4⋊C4—432no—
580C4⋊C4—432no—
581C4⋊C4—432no—
582C4⋊C4—432no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4—864no—
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—432no—
607C42—432no—
608C42—864no—
609C42—864no—
610C42D4×D4312yes—
611C42C23×D4312yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—432no—
617C23—862no—
618C23—862no—
619C23—862no—
620C23C2×D4×D4311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—84no—
625Q8—3444no—
626Q8—3444no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—3444no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—432no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—864no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—3444no—
653C2×C4—3444no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4C2×D4×D4312yes—
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—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—862no—
673C22—862no—
674C22—862no—
675C22—1724no—
676C22#1458346912yes—
677C22#1458370312yes—
678C22#1458371512yes—
679C22C22×D4×D4311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—862no—
686C4—862no—
687C4—862no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4#1458346912yes—
693C4C2×#1306337211yescharacteristic
694C4C2×#1306337211yescharacteristic
695C2—82no—
696C2—1722no—
697C2#1914587314yesdirect product factor
698C2C2×#1458346911yescharacteristic
699C2C2×#1458370311yescharacteristic
700C2C2×#1458371511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#489C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
hypercenterC2×#489D43
hypocenterC43C2×#3243
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#14583526C2semidirect
3. #19145873C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583302C2semidirect
6. C2×#14583253C2semidirect
7. C2×#14583233C2semidirect
8. C2×#14583238C2semidirect
11. C2×#14583204C2semidirect
12. C2×#14583192C2semidirect
13. C2×#14583201C2semidirect
14. C2×#14583177C2semidirect
15. C2×#14582961C2semidirect
16. C2×C43×#489C2semidirect
18. #14583526C22semidirect
40. #14583308C22semidirect
41. #14583302C22semidirect
42. #14583253C22semidirect
43. #14583238C22semidirect
44. #14583233C22semidirect
47. #14583204C22semidirect
48. #14583201C22semidirect
49. #14583192C22semidirect
50. #14583177C22semidirect
51. #14582961C22semidirect
71. C43×#489C22semidirect
350. C2×#489D43semidirect
362. C2×C43#3243semidirect
394. #489C2×D43semidirect
427. C43C2×#3243semidirect
697. C2#19145873direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835262
C2×#145835182
#191458732
C2×#145833082
C2×#145833022
C2×#145832532
C2×#145832332
C2×#145832382
C2×#145832222
C2×#145832112
C2×#145832042
C2×#145831922
C2×#145832012
C2×#145831772
C2×#145829612
C2×C43×#4892
C2×#324343