Finite Group Databasebeta

← C2×#19145122 #25966217

Subgroups — C2×#19145122 #25966217

Order 11008.

1854 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583529C211yesmaximal, characteristic
2C2×#14583526C211yesmaximal, characteristic
3#19145122C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583307C211yesmaximal, characteristic, complemented
6C2×#14583306C211yesmaximal, characteristic, complemented
7C2×#14583300C211yesmaximal, characteristic, complemented
8C2×#14583298C211yesmaximal, characteristic, complemented
9C2×#14583296C211yesmaximal, characteristic, complemented
10C2×#14583295C211yesmaximal, characteristic, complemented
11C2×#14582940C211yesmaximal, characteristic
12C2×#14582938C211yesmaximal, characteristic
13C2×#14582936C211yesmaximal, characteristic
14C2×#106×D43C211yesmaximal, characteristic
15C2×#14582856C211yesmaximal, characteristic
16C2×C43×#501C211yesmaximal, characteristic, complemented
17C22×#10621872C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19#14583529—24no—
20#14583529C2218yes—
21#14583526—24no—
22#14583526C2218yes—
23C2×#13063325C2211yescharacteristic
24C2×#13063324—21no—
25C2×#13063324C2211yescharacteristic
26C2×#13063324C2211yescharacteristic
27C2×#13063323—21no—
28C2×#13063317C2211yescharacteristic
29C2×#13063316C2211yescharacteristic
30C2×#13063316C2211yescharacteristic
31C2×#13063315—21no—
32C2×#13063315—21no—
33C2×#13063305—21no—
34C2×#13063303—21no—
35C2×#13063303—21no—
36C2×#13063301—21no—
37C2×#13063283C2211yescharacteristic
38C2×#13063283C2211yescharacteristic
39C2×#13063282C2211yescharacteristic
40C2×C4⋊C4×D43C2211yescharacteristic
41C2×C4⋊C4×D43C2211yescharacteristic
42#14583308C2218yescomplemented
43#14583307C2218yescomplemented
44#14583306C2218yescomplemented
45#14583300C2218yescomplemented
46#14583298C2218yescomplemented
47#14583296C2218yescomplemented
48#14583295C2218yescomplemented
49#14582940C2218yes—
50#14582938C2218yes—
51#14582936C2218yes—
52C2×#13063259C2211yescharacteristic
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063257C2211yescharacteristic
57C2×#13063257C2211yescharacteristic
58C2×#13063256C2211yescharacteristic
59C2×#13063256C2211yescharacteristic
60C2×#13063256C2211yescharacteristic
61C2×#13063256C2211yescharacteristic
62C2×#13063256C2211yescharacteristic
63C2×#13063256C2211yescharacteristic
64#106×D43C2218yes—
65#14582856C2218yes—
66C2×#13063235C2211yescharacteristic
67C2×C4×C43⋊C8C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C2×C4⋊Q8×C43C2211yescharacteristic
70C2×#125×C43C2211yescharacteristic
71C43×#501C2218yescomplemented
72C2×#107×C43C2211yescharacteristic
73C2×#107×C43C2211yescharacteristic
74C2×#106×C43C2211yescharacteristic
75C2×#106×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86—21no—
80C22×C4×D43—21no—
81C22×C4×D43—21no—
82C22×C4×D43C2311yescharacteristic
83C2×#10621872Q818yescomplemented
84C2×#10621872C2314yes—
85C22×C43⋊C8C2311yescharacteristic
86C22×C43⋊C8C2311yescharacteristic
87C2×C8×D43Q818yescomplemented
88C2×C8×D43C2314yes—
89#13063325—22no—
90#13063325C2314yes—
91#13063324—28no—
92#13063324—22no—
93#13063324—22no—
94#13063324C2314yes—
95#13063324C2314yes—
96#13063323—28no—
97#13063317—22no—
98#13063317C2314yes—
99#13063316—22no—
100#13063316—22no—
101#13063316C2314yes—
102#13063316C2314yes—
103#13063315—28no—
104#13063315—28no—
105#13063305—28no—
106#13063303—28no—
107#13063303—28no—
108#13063301—28no—
109#13063283—22no—
110#13063283—22no—
111#13063283C2314yes—
112#13063283C2314yes—
113#13063282D414yes—
114#13063282C2314yes—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—21no—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43C2311yescharacteristic
119C2×C4⋊Dic43C2311yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×Dic43⋊C4—21no—
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×Dic43⋊C4D411yescharacteristic
131C2×Dic43⋊C4D411yescharacteristic
132C4⋊C4×D43—22no—
133C4⋊C4×D43—22no—
134C4⋊C4×D43C2314yes—
135C4⋊C4×D43C2314yes—
136C2×(C2×D43)⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×(C2×D43)⋊C4D411yescharacteristic
139C2×(C2×D43)⋊C4D411yescharacteristic
140C2×C4×Dic43—21no—
141C2×C4×Dic43—21no—
142C2×C4×Dic43C2311yescharacteristic
143#13063259C2314yes—
144#13063259C2314yes—
145#13063258C2314yes—
146#13063258C2314yes—
147#13063257C2314yes—
148#13063257C2314yes—
149#13063256C2314yes—
150#13063256C2314yes—
151#13063256C2314yes—
152#13063256C2314yes—
153#13063256C2314yes—
154#13063256C2314yes—
155#13063235C2314yes—
156C4×C43⋊C8C2314yes—
157C8×Dic43C2314yes—
158C22×Q8×C43—21no—
159C22×C8×C43C2311yescharacteristic
160C22×C8×C43C2311yescharacteristic
161C4⋊Q8×C43—22no—
162C4⋊Q8×C43C2314yes—
163#125×C43—22no—
164#125×C43C2314yes—
165C2×C4⋊C4×C43—21no—
166C2×C4⋊C4×C43—21no—
167C2×C4⋊C4×C43—21no—
168C2×C4⋊C4×C43C2311yescharacteristic
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C4⋊C4×C43C2311yescharacteristic
172C2×C42×C43C2311yescharacteristic
173#107×C43C2314yes—
174#107×C43C2314yes—
175#106×C43C2314yes—
176#106×C43C2314yes—
177#97×C43C2314yes—
178C23×D43C2×D411yescharacteristic
179C2×Q8×C43—24no—
180C2×Q8×C43—82no—
181C22×C4×C43—21no—
182C22×C4×C43—21no—
183C22×C4×C43—21no—
184C22×C4×C43—21no—
185C22×C4×C43C2×D411yescharacteristic
186C22×C4×C43C2×D411yescharacteristic
187C22×C4×C43C2411yescharacteristic
188C22×Dic43—21no—
189C22×Dic43—21no—
190C22×Dic43—21no—
191C22×Dic43—21no—
192C22×Dic43C2×D411yescharacteristic
193C22×Dic43C2×D411yescharacteristic
194C22×Dic43C2×D411yescharacteristic
195C2×C4×D43—24no—
196C2×C4×D43—24no—
197C2×C4×D43—82no—
198C2×C4×D43—82no—
199C2×C4×D43C2×D412yes—
200C2×C4×D43C2×Q814yes—
201C2×C4×D43C2×Q814yes—
202C2×C4×D43C2412yes—
203C2×Dic86—24no—
204C2×Dic86—24no—
205C2×Dic86—24no—
206C2×Dic86—82no—
207C2×Dic86—82no—
208C2×Dic86—82no—
209C2×C8×C43C2×Q814yes—
210C2×C8×C43C2×Q814yes—
211C2×C8×C43C2412yes—
212C2×C8×C43C2412yes—
213C4⋊C4×C43—24no—
214C4⋊C4×C43—24no—
215C4⋊C4×C43—24no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43C2412yes—
221C4⋊C4×C43C2412yes—
222C4⋊C4×C43C2412yes—
223C4⋊C4×C43C2412yes—
224C42×C43C2×D412yes—
225C42×C43C2412yes—
226(C2×D43)⋊C4—24no—
227(C2×D43)⋊C4—24no—
228(C2×D43)⋊C4C2×D414yes—
229(C2×D43)⋊C4C2×D414yes—
230C4⋊Dic43—21no—
231C4⋊Dic43—21no—
232C4⋊Dic43—24no—
233C4⋊Dic43—21no—
234C4⋊Dic43—21no—
235C4⋊Dic43—24no—
236C4⋊Dic43—24no—
237C4⋊Dic43C2412yes—
238C4⋊Dic43C2412yes—
239C4⋊Dic43C2412yes—
240C4⋊Dic43C2412yes—
241Dic43⋊C4—24no—
242Dic43⋊C4—24no—
243Dic43⋊C4—24no—
244Dic43⋊C4—24no—
245Dic43⋊C4—24no—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4C2×D414yes—
250Dic43⋊C4C2×D414yes—
251C4×Dic43—24no—
252C4×Dic43—24no—
253C4×Dic43C2×D412yes—
254C4×Dic43C2412yes—
255C2×C43⋊C8C2×Q814yes—
256C2×C43⋊C8C2×Q814yes—
257C2×C43⋊C8C2412yes—
258C2×C43⋊C8C2412yes—
259#10621872C2×Q8116yescomplemented
260C8×D43C2×Q8116yescomplemented
261C23×C43C22×D411yescharacteristic
262C22×D43—22no—
263C22×D43—22no—
264C22×D43C4⋊Q814yes—
265C22×D43C22×D412yes—
266Q8×C43—84no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43C22×D412yes—
278C2×C4×C43C22×D412yes—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×Q812yes—
281C2×C4×C43C22×Q812yes—
282C2×C4×C43C2511yescharacteristic
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43C4⋊Q814yes—
294C2×Dic43C22×D412yes—
295C2×Dic43C22×D412yes—
296C2×Dic43C22×D412yes—
297C4×D43—84no—
298C4×D43—84no—
299C4×D43C4⋊Q818yes—
300C4×D43C22×Q814yes—
301C4×D43C22×Q814yes—
302Dic86—84no—
303Dic86—84no—
304Dic86—84no—
305C8×C43C22×Q814yes—
306C8×C43C22×Q814yes—
307C43⋊C8C22×Q814yes—
308C43⋊C8C22×Q814yes—
309C2×#3163—431nomaximal, Sylow
310C22×C43C2×C4⋊Q812yes—
311C22×C43#57712yes—
312C22×C43#57712yes—
313C22×C43C23×D411yescharacteristic
314C2×D43—28no—
315C2×D43—22no—
316C2×D43—22no—
317C2×D43C2×C4⋊Q814yes—
318C4×C43—22no—
319C4×C43—22no—
320C4×C43—42no—
321C4×C43—42no—
322C4×C43—42no—
323C4×C43—42no—
324C4×C43C2×C4⋊Q812yes—
325C4×C43C23×Q811yescharacteristic
326C4×C43C23×Q811yescharacteristic
327Dic43—22no—
328Dic43—22no—
329Dic43—42no—
330Dic43—42no—
331Dic43—42no—
332Dic43—42no—
333Dic43C2×C4⋊Q814yes—
334C2×#544—431no—
335C2×#544—431no—
336#3163—4316no—
337C2×#501—431no—
338C2×#501—431no—
339C2×#501—431no—
340C2×#501D4311yescharacteristic, complemented
341C2×#499—431no—
342C2×#499—431no—
343C2×#498—431no—
344C2×#498—431no—
345C2×#428—431no—
346C2×#428—431no—
347C2×#427—431no—
348C22×#106—431no—
349C2×#405—431no—
350C2×C43#316314yescomplemented
351C2×C43C22×C4⋊Q811yescharacteristic
352C2×C43C2×#57711yescharacteristic
353C2×C43C2×#57711yescharacteristic
354D43—24no—
355C22×M16—431no—
356C23×C8—431no—
357#544—438no—
358#544—438no—
359#544—864no—
360#544—864no—
361C2×C4⋊Q8—431no—
362C2×C4⋊Q8—431no—
363C2×C4⋊Q8—431no—
364C2×C4⋊Q8—861no—
365C2×C4⋊Q8—861no—
366C2×C4⋊Q8C2×D4311yescharacteristic
367C2×#125—431no—
368C2×#125—431no—
369C2×#125—431no—
370C2×#125—861no—
371C2×#125—861no—
372C2×#125C2×D4311yescharacteristic
373C2×C22⋊Q8—861no—
374C2×C22⋊Q8—861no—
375C2×C22⋊Q8—861no—
376C2×C22⋊Q8—861no—
377C2×#117—431no—
378C2×#117—431no—
379C2×#117—431no—
380C22×C4⋊C4—431no—
381C22×C4⋊C4—431no—
382#501—438no—
383#501—438no—
384#501—438no—
385#501C2×D4318yescomplemented
386#499—438no—
387#499—438no—
388#498—438no—
389#498—438no—
390#428—438no—
391#428—438no—
392#427—438no—
393C2×#107—431no—
394C2×#107—431no—
395C2×#107—431no—
396C2×#107—431no—
397C2×#107C2×D4311yescharacteristic
398C2×#107C2×D4311yescharacteristic
399C2×#106—431no—
400C2×#106—431no—
401C2×#106—431no—
402C2×#106—431no—
403C2×#106—431no—
404C2×#106—431no—
405C2×#106—431no—
406C2×#106—431no—
407C2×#106—438no—
408C2×#106C2×D4311yescharacteristic
409C2×#106C2×D4311yescharacteristic
410#405—438no—
411C2×#97—431no—
412C2×#97C2×D4311yescharacteristic
413C2×C4×C8—431no—
414C2×C4×C8—431no—
415C43C2×#316311yescharacteristic, complemented, Sylow
416C22×Q8—21no—
417C22×Q8—861no—
418C22×Q8—861no—
419C22×Q8—861no—
420C23×C4—431no—
421C23×C4—861no—
422C23×C4—861no—
423C2×M16—438no—
424C2×M16—434no—
425C22×C8—431no—
426C22×C8—431no—
427C22×C8—438no—
428C22×C8—434no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8—434no—
433C4⋊Q8—434no—
434C4⋊Q8—434no—
435C4⋊Q8—862no—
436C4⋊Q8—862no—
437C4⋊Q8—868no—
438C4⋊Q8—868no—
439C4⋊Q8—862no—
440C4⋊Q8C22×D4314yes—
441#125—22no—
442#125—434no—
443#125—434no—
444#125—434no—
445#125—862no—
446#125—862no—
447#125—868no—
448#125—868no—
449#125—862no—
450#125C22×D4314yes—
451C22⋊Q8—868no—
452C22⋊Q8—868no—
453C22⋊Q8—868no—
454C22⋊Q8—868no—
455#117—434no—
456#117—434no—
457#117—434no—
458#117—434no—
459#117—862no—
460#117—862no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—431no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—434no—
471C2×C4⋊C4—434no—
472C2×C4⋊C4—862no—
473C2×C4⋊C4—862no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
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⋊C4C22×D4311yescharacteristic
486C2×C4⋊C4C22×D4311yescharacteristic
487C2×C4⋊C4C22×D4311yescharacteristic
488C2×C4⋊C4C22×D4311yescharacteristic
489C2×C22⋊C4—431no—
490C2×C22⋊C4—431no—
491C2×C22⋊C4—861no—
492C2×C22⋊C4—861no—
493C2×C42—431no—
494C2×C42—861no—
495C2×C42—861no—
496C2×C42C22×D4311yescharacteristic
497#107—434no—
498#107—434no—
499#107—434no—
500#107—434no—
501#107C22×D4314yes—
502#107C22×D4314yes—
503#106—434no—
504#106—434no—
505#106—434no—
506#106—434no—
507#106—434no—
508#106—434no—
509#106—434no—
510#106—434no—
511#106C22×D4314yes—
512#106C22×D4314yes—
513#97—434no—
514#97C22×D4314yes—
515C4×C8—434no—
516C4×C8—434no—
517C24—431no—
518C2×Q8—24no—
519C2×Q8—82no—
520C2×Q8—864no—
521C2×Q8—864no—
522C2×Q8—864no—
523C2×Q8—3442no—
524C2×Q8—3442no—
525C2×Q8—3442no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—431no—
531C22×C4—432no—
532C22×C4—434no—
533C22×C4—434no—
534C22×C4—432no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—864no—
538C22×C4—864no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—3442no—
544C22×C4—3442no—
545C22×C4D4×D4311yescharacteristic
546C22×C4D4×D4311yescharacteristic
547C22×C4C23×D4311yescharacteristic
548M16—4316no—
549C2×C8—434no—
550C2×C8—434no—
551C2×C8—432no—
552C2×C8—432no—
553C2×C8—4316no—
554C2×C8Q8×D4314yes—
555C2×C8Q8×D4314yes—
556C2×C8C23×D4312yes—
557C2×C8C23×D4312yes—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—434no—
566C4⋊C4—434no—
567C4⋊C4—432no—
568C4⋊C4—432no—
569C4⋊C4—432no—
570C4⋊C4—432no—
571C4⋊C4—864no—
572C4⋊C4—864no—
573C4⋊C4—864no—
574C4⋊C4—864no—
575C4⋊C4—864no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4C23×D4312yes—
587C4⋊C4C23×D4312yes—
588C4⋊C4C23×D4312yes—
589C4⋊C4C23×D4312yes—
590C22⋊C4—434no—
591C22⋊C4—434no—
592C22⋊C4—864no—
593C22⋊C4—864no—
594C42—432no—
595C42—432no—
596C42—864no—
597C42—864no—
598C42D4×D4312yes—
599C42C23×D4312yes—
600C23—434no—
601C23—432no—
602C23—862no—
603C23—862no—
604C23C2×D4×D4311yescharacteristic
605Q8—84no—
606Q8—3444no—
607Q8—3444no—
608Q8—3444no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—434no—
620C2×C4—432no—
621C2×C4—438no—
622C2×C4—434no—
623C2×C4—434no—
624C2×C4—432no—
625C2×C4—432no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—3444no—
633C2×C4—3444no—
634C2×C4—1722no—
635C2×C4—1722no—
636C2×C4—1722no—
637C2×C4—1722no—
638C2×C4C2×D4×D4312yes—
639C2×C4C2×D4×D4312yes—
640C2×C4C2×D4×D4311yescharacteristic
641C2×C4C2×Q8×D4312yes—
642C2×C4C2×Q8×D4312yes—
643C2×C4C24×D4311yescharacteristic
644C8—434no—
645C8—434no—
646C8C2×Q8×D4314yes—
647C8C2×Q8×D4314yes—
648C22—434no—
649C22—862no—
650C22—862no—
651C22—868no—
652C22C4⋊Q8×D4312yes—
653C22#1458370812yes—
654C22#1458370912yes—
655C22C22×D4×D4311yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—434no—
663C4—862no—
664C4—862no—
665C4—1722no—
666C4—1722no—
667C4—1722no—
668C4—1722no—
669C4C4⋊Q8×D4312yes—
670C4C22×Q8×D4311yescharacteristic
671C4C22×Q8×D4311yescharacteristic
672C2—864no—
673C2#1914512214yesdirect product factor
674C2C2×C4⋊Q8×D4311yescharacteristic
675C2C2×#1458370811yescharacteristic
676C2C2×#1458370911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#501C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
hypercenterC2×#501D43
hypocenterC43C2×#3163
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #19145122C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583307C2semidirect
6. C2×#14583306C2semidirect
7. C2×#14583300C2semidirect
8. C2×#14583298C2semidirect
9. C2×#14583296C2semidirect
10. C2×#14583295C2semidirect
16. C2×C43×#501C2semidirect
42. #14583308C22semidirect
43. #14583307C22semidirect
44. #14583306C22semidirect
45. #14583300C22semidirect
46. #14583298C22semidirect
47. #14583296C22semidirect
48. #14583295C22semidirect
71. C43×#501C22semidirect
83. C2×#10621872Q8semidirect
87. C2×C8×D43Q8semidirect
259. #10621872C2×Q8semidirect
260. C8×D43C2×Q8semidirect
340. C2×#501D43semidirect
350. C2×C43#3163semidirect
385. #501C2×D43semidirect
415. C43C2×#3163semidirect
673. C2#19145122direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835292
C2×#145835262
#191451222
C2×#145833082
C2×#145833072
C2×#145833062
C2×#145833002
C2×#145832982
C2×#145832962
C2×#145832952
C2×#145829402
C2×#145829382
C2×#145829362
C2×#106×D432
C2×#145828562
C2×C43×#5012
C2×#316343