Finite Group Databasebeta

← C2×#19145764 #25968628

Subgroups — C2×#19145764 #25968628

Order 11008.

1822 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×#14583434C211yesmaximal, characteristic
2C2×#125×D43C211yesmaximal, characteristic, complemented
3#19145764C2116yesmaximal, direct product factor
4C2×#14583298C211yesmaximal, characteristic, complemented
5C2×#14583256C211yesmaximal, characteristic, complemented
6C2×#14583254C211yesmaximal, characteristic, complemented
7C2×#14583236C211yesmaximal, characteristic, complemented
8C2×#14583219C211yesmaximal, characteristic
9C2×#14583231C211yesmaximal, characteristic, complemented
10C2×#14583214C211yesmaximal, characteristic
11C2×#14583209C211yesmaximal, characteristic, complemented
12C2×#14583205C211yesmaximal, characteristic, complemented
13C2×#14583202C211yesmaximal, characteristic, complemented
14C2×#14583198C211yesmaximal, characteristic, complemented
15C2×#14582950C211yesmaximal, characteristic, complemented
16C2×C43×#499C211yesmaximal, characteristic, complemented
17#14583434—24no—
18#14583434C2218yes—
19C2×#13063320—21no—
20C2×#13063317C2211yescharacteristic
21C2×#13063316C2211yescharacteristic
22C2×#13063316C2211yescharacteristic
23C2×#13063315—21no—
24C2×#13063315—21no—
25#125×D43—24no—
26#125×D43C2218yescomplemented
27C2×#13063313C2211yescharacteristic
28C2×#13063310—21no—
29C2×#13063305C2211yescharacteristic
30C2×#13063300C2211yescharacteristic
31C2×#13063290C2211yescharacteristic
32C2×#13063287—21no—
33C2×#13063287C2211yescharacteristic
34C2×#13063283—21no—
35C2×C4⋊C4×D43—21no—
36C2×C4⋊C4×D43—21no—
37C2×C4⋊C4×D43C2211yescharacteristic
38C2×C4⋊C4×D43C2211yescharacteristic
39C2×C42×D43C2211yescharacteristic
40#14583298C2218yescomplemented
41#14583256C2218yescomplemented
42#14583254C2218yescomplemented
43#14583236C2218yescomplemented
44#14583231C2218yescomplemented
45#14583219C2218yes—
46#14583214C2218yes—
47#14583209C2218yescomplemented
48#14583205C2218yescomplemented
49#14583202C2218yescomplemented
50#14583198C2218yescomplemented
51#14582950C2218yescomplemented
52C2×#13063258C2211yescharacteristic
53C2×#13063258C2211yescharacteristic
54C2×#13063256C2211yescharacteristic
55C2×#13063256C2211yescharacteristic
56C2×Dic43⋊C8C2211yescharacteristic
57C2×Dic43⋊C8C2211yescharacteristic
58C2×#13063250C2211yescharacteristic
59C2×#13063250C2211yescharacteristic
60C2×#13063248C2211yescharacteristic
61C2×#13063248C2211yescharacteristic
62C2×#13063247C2211yescharacteristic
63C2×#13063247C2211yescharacteristic
64C2×#13063245C2211yescharacteristic
65C2×#13063245C2211yescharacteristic
66C2×(C2×D43)⋊C8C2211yescharacteristic
67C2×(C2×D43)⋊C8C2211yescharacteristic
68C2×C4×C43⋊C8C2211yescharacteristic
69C2×#125×C43C2211yescharacteristic
70C2×#125×C43C2211yescharacteristic
71C43×#499C2218yescomplemented
72C2×#107×C43C2211yescharacteristic
73C2×#107×C43C2211yescharacteristic
74C2×#106×C43C2211yescharacteristic
75C2×#106×C43C2211yescharacteristic
76C2×C4×C8×C43C2211yescharacteristic
77C22×Dic86C2311yescharacteristic
78C22×D172—21no—
79C22×D172C2311yescharacteristic
80C22×C4×D43—21no—
81C22×C4×D43—21no—
82C22×C4×D43—21no—
83C22×C4×D43D411yescharacteristic
84C22×C4×D43D411yescharacteristic
85C22×C4×D43C2311yescharacteristic
86C22×C43⋊C8C2311yescharacteristic
87C22×C43⋊C8C2311yescharacteristic
88#13063320—28no—
89#13063317—22no—
90#13063317C2314yes—
91#13063316—22no—
92#13063316—22no—
93#13063316C2314yes—
94#13063316C2314yes—
95#13063315—28no—
96#13063315—28no—
97#13063313—22no—
98#13063313C2314yes—
99#13063310—28no—
100#13063305—22no—
101#13063305C2314yes—
102#13063300—22no—
103#13063300C2314yes—
104#13063290—22no—
105#13063290C2314yes—
106#13063287—28no—
107#13063287—22no—
108#13063287C2314yes—
109#13063283—28no—
110C2×C4⋊Dic43—21no—
111C2×C4⋊Dic43—21no—
112C2×C4⋊Dic43—21no—
113C2×C4⋊Dic43C2311yescharacteristic
114C2×C4⋊Dic43C2311yescharacteristic
115C2×Dic43⋊C4—21no—
116C2×Dic43⋊C4—21no—
117C2×Dic43⋊C4—21no—
118C2×Dic43⋊C4—21no—
119C2×Dic43⋊C4—21no—
120C2×Dic43⋊C4—21no—
121C2×Dic43⋊C4—21no—
122C4⋊C4×D43—28no—
123C4⋊C4×D43—28no—
124C4⋊C4×D43—22no—
125C4⋊C4×D43—22no—
126C4⋊C4×D43C2314yes—
127C4⋊C4×D43C2314yes—
128C2×(C2×D43)⋊C4—21no—
129C2×(C2×D43)⋊C4—21no—
130C2×(C2×D43)⋊C4—21no—
131C2×(C2×D43)⋊C4—21no—
132C2×(C2×D43)⋊C4—21no—
133C2×C4×Dic43—21no—
134C2×C4×Dic43D411yescharacteristic
135C2×C4×Dic43D411yescharacteristic
136C2×C4×Dic43C2311yescharacteristic
137C42×D43D414yes—
138C42×D43C2314yes—
139#13063258C2314yes—
140#13063258C2314yes—
141#13063256C2314yes—
142#13063256C2314yes—
143Dic43⋊C8C2314yes—
144Dic43⋊C8C2314yes—
145#13063250C2314yes—
146#13063250C2314yes—
147#13063248C2314yes—
148#13063248C2314yes—
149#13063247C2314yes—
150#13063247C2314yes—
151#13063245C2314yes—
152#13063245C2314yes—
153(C2×D43)⋊C8C2314yes—
154(C2×D43)⋊C8C2314yes—
155C4×C43⋊C8C2314yes—
156C22×C8×C43C2311yescharacteristic
157C22×C8×C43C2311yescharacteristic
158#125×C43—22no—
159#125×C43—22no—
160#125×C43C2314yes—
161#125×C43C2314yes—
162C2×C4⋊C4×C43—21no—
163C2×C4⋊C4×C43—21no—
164C2×C4⋊C4×C43—21no—
165C2×C4⋊C4×C43—21no—
166C2×C4⋊C4×C43C2311yescharacteristic
167C2×C4⋊C4×C43C2311yescharacteristic
168C2×C4⋊C4×C43C2311yescharacteristic
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C42×C43C2311yescharacteristic
171#107×C43C2314yes—
172#107×C43C2314yes—
173#106×C43C2314yes—
174#106×C43C2314yes—
175C4×C8×C43C2314yes—
176C23×D43—21no—
177C23×D43C2×D411yescharacteristic
178C22×C4×C43—21no—
179C22×C4×C43—21no—
180C22×C4×C43—21no—
181C22×C4×C43—21no—
182C22×C4×C43C2×D411yescharacteristic
183C22×C4×C43C2×D411yescharacteristic
184C22×C4×C43C2411yescharacteristic
185C22×Dic43—21no—
186C22×Dic43—21no—
187C22×Dic43—21no—
188C22×Dic43C2×D411yescharacteristic
189C22×Dic43C2×D411yescharacteristic
190C22×Dic43C2×D411yescharacteristic
191C2×D172—21no—
192C2×D172—24no—
193C2×D172—22no—
194C2×D172—22no—
195C2×D172—44no—
196C2×D172C2412yes—
197C2×C4×D43—22no—
198C2×C4×D43—22no—
199C2×C4×D43—24no—
200C2×C4×D43—24no—
201C2×C4×D43—24no—
202C2×C4×D43—24no—
203C2×C4×D43—42no—
204C2×C4×D43—44no—
205C2×C4×D43—44no—
206C2×C4×D43—44no—
207C2×C4×D43C2×D412yes—
208C2×C4×D43C2×D414yes—
209C2×C4×D43C2×D414yes—
210C2×C4×D43C2412yes—
211C2×Dic86—22no—
212C2×Dic86—22no—
213C2×Dic86—21no—
214C2×Dic86C2412yes—
215C2×C8×C43—22no—
216C2×C8×C43—22no—
217C2×C8×C43C2412yes—
218C2×C8×C43C2412yes—
219C4⋊C4×C43—24no—
220C4⋊C4×C43—24no—
221C4⋊C4×C43—24no—
222C4⋊C4×C43—24no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43C2412yes—
228C4⋊C4×C43C2412yes—
229C4⋊C4×C43C2412yes—
230C4⋊C4×C43C2412yes—
231C42×C43C2×D412yes—
232C42×C43C2412yes—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—24no—
235(C2×D43)⋊C4—24no—
236(C2×D43)⋊C4—24no—
237(C2×D43)⋊C4—24no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43—24no—
241C4⋊Dic43—24no—
242C4⋊Dic43—24no—
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×D414yes—
255C4×Dic43C2×D414yes—
256C4×Dic43C2412yes—
257C2×C43⋊C8—22no—
258C2×C43⋊C8—22no—
259C2×C43⋊C8C2412yes—
260C2×C43⋊C8C2412yes—
261C23×C43C22×D411yescharacteristic
262C22×D43—22no—
263C22×D43—22no—
264C22×D43—22no—
265C22×D43—42no—
266C22×D43—42no—
267C22×D43—42no—
268C22×D43#13514yes—
269C22×D43C22×D412yes—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—22no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43—42no—
280C2×C4×C43C22×D412yes—
281C2×C4×C43C22×D412yes—
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C432−1+412yes—
284C2×C4×C432−1+412yes—
285C2×C4×C43C2511yescharacteristic
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—42no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43C22×D412yes—
296C2×Dic43C22×D412yes—
297C2×Dic43C22×D412yes—
298D172—22no—
299D172—22no—
300D172—48no—
301D172—42no—
302C4×D43—28no—
303C4×D43—24no—
304C4×D43—22no—
305C4×D43—22no—
306C4×D43—44no—
307C4×D43—48no—
308C4×D43—48no—
309C4×D43—48no—
310Dic86—22no—
311Dic86—22no—
312Dic86—42no—
313C8×C43—22no—
314C8×C43—22no—
315C43⋊C8—22no—
316C43⋊C8—22no—
317C2×#3232—431nomaximal, Sylow
318C22×C43#53612yes—
319C22×C43C2×#13512yes—
320C22×C43#57512yes—
321C22×C43C23×D411yescharacteristic
322C2×D43—22no—
323C2×D43—28no—
324C2×D43—22no—
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—84no—
329C2×D43C2×#13514yes—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43#53612yes—
337C4×C43C2×2−1+411yescharacteristic
338C4×C43C2×2−1+411yescharacteristic
339Dic43—22no—
340Dic43—22no—
341Dic43—22no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345C2×#529—431no—
346C22×#125—431no—
347#3232—4316no—
348C2×#499—431no—
349C2×#499D4311yescharacteristic, complemented
350C2×#488—431no—
351C2×#488—431no—
352C2×#484—431no—
353C2×#481—431no—
354C2×#483—431no—
355C2×#480—431no—
356C2×#479—431no—
357C2×#479—431no—
358C2×#478—431no—
359C2×#478—431no—
360C2×#431—431no—
361C2×C43#323214yescomplemented
362C2×C43C2×#53611yescharacteristic
363C2×C43C22×#13511yescharacteristic
364C2×C43C2×#57511yescharacteristic
365D43—24no—
366D43—82no—
367#529—438no—
368#529—864no—
369C2×#126—861no—
370C2×#125—438no—
371C2×#125—431no—
372C2×#125—431no—
373C2×#125—431no—
374C2×#125—861no—
375C2×#125—861no—
376C2×#125—864no—
377C2×#125C2×D4311yescharacteristic
378C2×#125C2×D4311yescharacteristic
379C2×#124—431no—
380C2×#123—861no—
381C2×C22⋊Q8—431no—
382C2×#121—431no—
383C2×C4×Q8—431no—
384C2×C4×D4—431no—
385C2×C4×D4—861no—
386C2×#117—861no—
387C22×C4⋊C4—431no—
388C22×C4⋊C4—431no—
389C22×C4⋊C4—861no—
390C22×C4⋊C4—861no—
391C22×C42—431no—
392#499—438no—
393#499C2×D4318yescomplemented
394#488—438no—
395#488—438no—
396#484—438no—
397#483—438no—
398#481—438no—
399#480—438no—
400#479—438no—
401#479—438no—
402#478—438no—
403#478—438no—
404#431—438no—
405C2×#107—431no—
406C2×#107—431no—
407C2×#107C2×D4311yescharacteristic
408C2×#107C2×D4311yescharacteristic
409C2×#106—431no—
410C2×#106—431no—
411C2×#106C2×D4311yescharacteristic
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×#102—431no—
422C2×#102—431no—
423C2×C22⋊C8—431no—
424C2×C22⋊C8—431no—
425C2×C4×C8—431no—
426C2×C4×C8C2×D4311yescharacteristic
427C43C2×#323211yescharacteristic, complemented, Sylow
428C22×Q8—431no—
429C22×D4—431no—
430C22×D4—861no—
431C23×C4—431no—
432C23×C4—431no—
433C23×C4—431no—
434C23×C4—861no—
435C23×C4—861no—
436C23×C4—861no—
437C22×C8—431no—
438C22×C8—431no—
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441#126—868no—
442#125—22no—
443#125—22no—
444#125—434no—
445#125—434no—
446#125—434no—
447#125—868no—
448#125—868no—
449#125—862no—
450#125—862no—
451#125—862no—
452#125C22×D4314yes—
453#125C22×D4314yes—
454#124—434no—
455#124—862no—
456#123—868no—
457C22⋊Q8—434no—
458C22⋊Q8—862no—
459#121—434no—
460#121—862no—
461C4×Q8—434no—
462C4×Q8—862no—
463C4×D4—434no—
464C4×D4—862no—
465C4×D4—868no—
466#117—868no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—434no—
474C2×C4⋊C4—434no—
475C2×C4⋊C4—862no—
476C2×C4⋊C4—862no—
477C2×C4⋊C4—868no—
478C2×C4⋊C4—868no—
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—861no—
489C2×C4⋊C4C22×D4311yescharacteristic
490C2×C4⋊C4C22×D4311yescharacteristic
491C2×C4⋊C4C22×D4311yescharacteristic
492C2×C4⋊C4C22×D4311yescharacteristic
493C2×C22⋊C4—861no—
494C2×C22⋊C4—861no—
495C2×C22⋊C4—861no—
496C2×C22⋊C4—861no—
497C2×C22⋊C4—861no—
498C2×C42—431no—
499C2×C42—431no—
500C2×C42—431no—
501C2×C42—434no—
502C2×C42—434no—
503C2×C42—861no—
504C2×C42C22×D4311yescharacteristic
505#107—434no—
506#107—434no—
507#107C22×D4314yes—
508#107C22×D4314yes—
509#106—434no—
510#106—434no—
511#106C22×D4314yes—
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#102—434no—
522#102—434no—
523C22⋊C8—434no—
524C22⋊C8—434no—
525C4×C8—434no—
526C4×C8C22×D4314yes—
527C24—431no—
528C24—861no—
529C2×Q8—432no—
530C2×Q8—861no—
531C2×Q8—862no—
532C2×Q8—862no—
533C2×D4—432no—
534C2×D4—864no—
535C2×D4—861no—
536C2×D4—862no—
537C2×D4—862no—
538C2×D4—1724no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—432no—
547C22×C4—434no—
548C22×C4—432no—
549C22×C4—434no—
550C22×C4—864no—
551C22×C4—864no—
552C22×C4—864no—
553C22×C4—864no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—1722no—
560C22×C4—1724no—
561C22×C4—1724no—
562C22×C4—1724no—
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—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—432no—
583C4⋊C4—432no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—864no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4C23×D4312yes—
597C4⋊C4C23×D4312yes—
598C4⋊C4C23×D4312yes—
599C4⋊C4C23×D4312yes—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C42—434no—
606C42—432no—
607C42—434no—
608C42—432no—
609C42—864no—
610C42D4×D4312yes—
611C42C23×D4312yes—
612C23—434no—
613C23—432no—
614C23—862no—
615C23—862no—
616C23—862no—
617C23—1722no—
618C23—1722no—
619C23—1722no—
620C23C2×D4×D4311yescharacteristic
621Q8—862no—
622Q8—862no—
623Q8—1722no—
624D4—862no—
625D4—862no—
626D4—1728no—
627D4—1722no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—868no—
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—1724no—
652C2×C4—1728no—
653C2×C4—1728no—
654C2×C4—1728no—
655C2×C4—1722no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4C2×D4×D4312yes—
659C2×C4C2×D4×D4312yes—
660C2×C4C2×D4×D4311yescharacteristic
661C2×C4#1306337312yes—
662C2×C4#1306337312yes—
663C2×C4C24×D4311yescharacteristic
664C8—22no—
665C8—22no—
666C8—862no—
667C8—862no—
668C22—434no—
669C22—862no—
670C22—868no—
671C22—862no—
672C22—3444no—
673C22—1722no—
674C22—1722no—
675C22—1722no—
676C22#1458347412yes—
677C22#135×D4312yes—
678C22#1458369612yes—
679C22C22×D4×D4311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—862no—
687C4—862no—
688C4—862no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4#1458347412yes—
693C4C2×#1306337311yescharacteristic
694C4C2×#1306337311yescharacteristic
695C2—864no—
696C2—3442no—
697C2#1914576414yesdirect product factor
698C2C2×#1458347411yescharacteristic
699C2C2×#135×D4311yescharacteristic
700C2C2×#1458369611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#499C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
hypercenterC2×#499D43
hypocenterC43C2×#3232
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
2. C2×#125×D43C2semidirect
3. #19145764C2direct (N × H)
4. C2×#14583298C2semidirect
5. C2×#14583256C2semidirect
6. C2×#14583254C2semidirect
7. C2×#14583236C2semidirect
9. C2×#14583231C2semidirect
11. C2×#14583209C2semidirect
12. C2×#14583205C2semidirect
13. C2×#14583202C2semidirect
14. C2×#14583198C2semidirect
15. C2×#14582950C2semidirect
16. C2×C43×#499C2semidirect
26. #125×D43C22semidirect
40. #14583298C22semidirect
41. #14583256C22semidirect
42. #14583254C22semidirect
43. #14583236C22semidirect
44. #14583231C22semidirect
47. #14583209C22semidirect
48. #14583205C22semidirect
49. #14583202C22semidirect
50. #14583198C22semidirect
51. #14582950C22semidirect
71. C43×#499C22semidirect
349. C2×#499D43semidirect
361. C2×C43#3232semidirect
393. #499C2×D43semidirect
427. C43C2×#3232semidirect
697. C2#19145764direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145834342
C2×#125×D432
#191457642
C2×#145832982
C2×#145832562
C2×#145832542
C2×#145832362
C2×#145832192
C2×#145832312
C2×#145832142
C2×#145832092
C2×#145832052
C2×#145832022
C2×#145831982
C2×#145829502
C2×C43×#4992
C2×#323243