Finite Group Databasebeta

← C2×#19147502 #25977083

Subgroups — C2×#19147502 #25977083

Order 11008.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583629C211yesmaximal, characteristic, complemented
2C2×#14583605C211yesmaximal, characteristic
3#19147502C2116yesmaximal, direct product factor
4C2×#14583306C211yesmaximal, characteristic, complemented
5C2×#14583303C211yesmaximal, characteristic, complemented
6C2×#14583209C211yesmaximal, characteristic, complemented
7C2×#14583203C211yesmaximal, characteristic, complemented
8C2×#14583193C211yesmaximal, characteristic, complemented
9C2×#14583188C211yesmaximal, characteristic
10C2×#14583178C211yesmaximal, characteristic
11C2×#14583176C211yesmaximal, characteristic
12C2×#14583027C211yesmaximal, characteristic, complemented
13C2×#14583001C211yesmaximal, characteristic
14C2×#14582998C211yesmaximal, characteristic
15C2×#14582986C211yesmaximal, characteristic
16C2×C43×#501C211yesmaximal, characteristic, complemented
17C22×#10621873C2211yescharacteristic
18#14583629—24no—
19#14583629C2218yescomplemented
20#14583605—24no—
21#14583605C2218yes—
22C2×#13063324—21no—
23C2×#13063324C2211yescharacteristic
24C2×#13063324C2211yescharacteristic
25C2×#13063324C2211yescharacteristic
26C2×#13063323—21no—
27C2×#13063323—21no—
28C2×#13063316C2211yescharacteristic
29C2×#13063305—21no—
30C2×#13063303—21no—
31C2×#13063303—21no—
32C2×C4×Dic86C2211yescharacteristic
33C2×C4×Dic86C2211yescharacteristic
34C2×#13063290—21no—
35C2×#13063290C2211yescharacteristic
36C2×#13063290C2211yescharacteristic
37C2×C4×D172C2211yescharacteristic
38C2×#13063287C2211yescharacteristic
39C2×#13063287C2211yescharacteristic
40C2×C4⋊C4×D43—21no—
41#14583306C2218yescomplemented
42#14583303C2218yescomplemented
43#14583209C2218yescomplemented
44#14583203C2218yescomplemented
45#14583193C2218yescomplemented
46#14583188C2218yes—
47#14583178C2218yes—
48#14583176C2218yes—
49#14583027C2218yescomplemented
50#14583001C2218yes—
51#14582998C2218yes—
52#14582986C2218yes—
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063258C2211yescharacteristic
57C2×#13063256C2211yescharacteristic
58C2×C4⋊(C43⋊C8)C2211yescharacteristic
59C2×Dic43⋊C8C2211yescharacteristic
60C2×Dic43⋊C8C2211yescharacteristic
61C2×#13063250C2211yescharacteristic
62C2×#13063248C2211yescharacteristic
63C2×#13063248C2211yescharacteristic
64C2×#13063247C2211yescharacteristic
65C2×#13063245C2211yescharacteristic
66C2×#13063245C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
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×Dic86D411yescharacteristic
81C22×Dic86C2311yescharacteristic
82C22×D172C2311yescharacteristic
83C22×C4×D43—21no—
84C22×C4×D43—21no—
85C22×C4×D43—21no—
86C2×#10621873Q818yescomplemented
87C2×#10621873C2314yes—
88C22×C43⋊C8C2311yescharacteristic
89C22×C43⋊C8C2311yescharacteristic
90#13063324—28no—
91#13063324—22no—
92#13063324—22no—
93#13063324—22no—
94#13063324C2314yes—
95#13063324C2314yes—
96#13063324C2314yes—
97#13063323—28no—
98#13063323—28no—
99#13063316—22no—
100#13063316C2314yes—
101#13063305—28no—
102#13063303—28no—
103#13063303—28no—
104C4×Dic86—22no—
105C4×Dic86D414yes—
106C4×Dic86C2314yes—
107C4×Dic86C2314yes—
108#13063290—28no—
109#13063290—22no—
110#13063290—22no—
111#13063290C2314yes—
112#13063290C2314yes—
113C4×D172—22no—
114C4×D172C2314yes—
115#13063287—22no—
116#13063287—22no—
117#13063287C2314yes—
118#13063287C2314yes—
119C2×C4⋊Dic43—21no—
120C2×C4⋊Dic43D411yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4D411yescharacteristic
131C2×Dic43⋊C4D411yescharacteristic
132C4⋊C4×D43—28no—
133C2×(C2×D43)⋊C4—21no—
134C2×(C2×D43)⋊C4—21no—
135C2×(C2×D43)⋊C4—21no—
136C2×C4×Dic43—21no—
137C2×C4×Dic43—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43C2311yescharacteristic
140C2×C4×Dic43C2311yescharacteristic
141#13063259C2314yes—
142#13063258C2314yes—
143#13063258C2314yes—
144#13063258C2314yes—
145#13063256C2314yes—
146C4⋊(C43⋊C8)C2314yes—
147Dic43⋊C8C2314yes—
148Dic43⋊C8C2314yes—
149#13063250C2314yes—
150#13063248C2314yes—
151#13063248C2314yes—
152#13063247C2314yes—
153#13063245C2314yes—
154#13063245C2314yes—
155#13063235C2314yes—
156C8×Dic43C2314yes—
157C22×Q8×C43—21no—
158C22×C8×C43C2311yescharacteristic
159C22×C8×C43C2311yescharacteristic
160C4⋊Q8×C43—22no—
161C4⋊Q8×C43C2314yes—
162#125×C43—22no—
163#125×C43C2314yes—
164C2×C4⋊C4×C43—21no—
165C2×C4⋊C4×C43—21no—
166C2×C4⋊C4×C43—21no—
167C2×C4⋊C4×C43C2311yescharacteristic
168C2×C4⋊C4×C43C2311yescharacteristic
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C42×C43C2311yescharacteristic
172#107×C43C2314yes—
173#107×C43C2314yes—
174#106×C43C2314yes—
175#106×C43C2314yes—
176#97×C43C2314yes—
177C23×D43—21no—
178C2×Q8×C43—24no—
179C2×Q8×C43—82no—
180C22×C4×C43—21no—
181C22×C4×C43—21no—
182C22×C4×C43—21no—
183C22×C4×C43—21no—
184C22×C4×C43C2×D411yescharacteristic
185C22×C4×C43C2×D411yescharacteristic
186C22×C4×C43C2411yescharacteristic
187C22×Dic43—21no—
188C22×Dic43—21no—
189C22×Dic43—21no—
190C22×Dic43C2×D411yescharacteristic
191C22×Dic43C2×D411yescharacteristic
192C22×Dic43C2×D411yescharacteristic
193C22×Dic43C2×D411yescharacteristic
194C2×D172—21no—
195C2×D172—22no—
196C2×D172C2×Q814yes—
197C2×D172C2412yes—
198C2×C4×D43—24no—
199C2×C4×D43—24no—
200C2×C4×D43—24no—
201C2×C4×D43—44no—
202C2×C4×D43—82no—
203C2×C4×D43—82no—
204C2×Dic86—21no—
205C2×Dic86—22no—
206C2×Dic86—24no—
207C2×Dic86—24no—
208C2×Dic86—24no—
209C2×Dic86—24no—
210C2×Dic86—82no—
211C2×Dic86—82no—
212C2×Dic86—82no—
213C2×Dic86C2×D414yes—
214C2×Dic86C2×Q814yes—
215C2×Dic86C2412yes—
216C2×C8×C43—22no—
217C2×C8×C43C2×Q814yes—
218C2×C8×C43C2412yes—
219C2×C8×C43C2412yes—
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—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238C4⋊Dic43—24no—
239C4⋊Dic43C2×D414yes—
240C4⋊Dic43C2412yes—
241C4⋊Dic43C2412yes—
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×Dic43—24no—
254C4×Dic43C2×D412yes—
255C4×Dic43C2×D412yes—
256C4×Dic43C2412yes—
257C4×Dic43C2412yes—
258C2×C43⋊C8—22no—
259C2×C43⋊C8—22no—
260C2×C43⋊C8C2412yes—
261C2×C43⋊C8C2412yes—
262#10621873C2×Q8116yescomplemented
263C23×C43C22×D411yescharacteristic
264C22×D43—24no—
265C22×D43—22no—
266C22×D43—42no—
267C22×D43—42no—
268Q8×C43—84no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43C22×D412yes—
280C2×C4×C43C22×D412yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×Q812yes—
283C2×C4×C432−1+412yes—
284C2×C4×C43C2511yescharacteristic
285C2×Dic43—24no—
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#13714yes—
295C2×Dic43C22×D412yes—
296C2×Dic43C22×D412yes—
297C2×Dic43C22×D412yes—
298C2×Dic43C22×D412yes—
299D172—24no—
300D172—22no—
301D172C22×Q814yes—
302C4×D43—48no—
303C4×D43—84no—
304C4×D43—84no—
305Dic86—24no—
306Dic86—22no—
307Dic86—28no—
308Dic86—84no—
309Dic86—84no—
310Dic86—84no—
311Dic86C22×Q814yes—
312C8×C43—22no—
313C8×C43C22×Q814yes—
314C43⋊C8—22no—
315C43⋊C8—22no—
316C2×#3385—431nomaximal, Sylow
317C22×C43D4×Q812yes—
318C22×C43C2×#13712yes—
319C22×C43#57612yes—
320C22×C43C23×D411yescharacteristic
321C2×D43—24no—
322C2×D43—48no—
323C2×D43—42no—
324C2×D43—42no—
325C4×C43—22no—
326C4×C43—22no—
327C4×C43—42no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43D4×Q812yes—
332C4×C43C23×Q811yescharacteristic
333C4×C43C2×2−1+411yescharacteristic
334Dic43—24no—
335Dic43—22no—
336Dic43—22no—
337Dic43—22no—
338Dic43—42no—
339Dic43—42no—
340Dic43C2×#13714yes—
341C2×Q82—431no—
342C2×#554—431no—
343#3385—4316no—
344C2×#501—431no—
345C2×#501D4311yescharacteristic, complemented
346C2×#500—431no—
347C2×#479—431no—
348C2×#479—431no—
349C2×#477—431no—
350C2×#476—431no—
351C2×#474—431no—
352C2×#474—431no—
353C2×#446—431no—
354C2×#440—431no—
355C2×#440—431no—
356C2×C4×SD16—431no—
357C2×C43#338514yescomplemented
358C2×C43C2×D4×Q811yescharacteristic
359C2×C43C22×#13711yescharacteristic
360C2×C43C2×#57611yescharacteristic
361D43—44no—
362C22×SD16—431no—
363Q82—438no—
364Q82—864no—
365#554—438no—
366#554—864no—
367C2×C4⋊Q8—431no—
368C2×C4⋊Q8—431no—
369C2×C4⋊Q8—431no—
370C2×C4⋊Q8—861no—
371C2×C4⋊Q8—861no—
372C2×C4⋊Q8—861no—
373C2×C4⋊Q8C2×D4311yescharacteristic
374C2×#125—431no—
375C2×#125C2×D4311yescharacteristic
376C2×C22⋊Q8—861no—
377C2×C22⋊Q8—861no—
378C2×C22⋊Q8—861no—
379C2×C4×Q8—431no—
380C2×C4×Q8—431no—
381C2×C4×Q8—431no—
382C2×C4×Q8—431no—
383C2×C4×Q8—861no—
384C2×C4×D4—431no—
385C2×C4×D4—431no—
386C2×C4×D4—431no—
387C22×C4⋊C4—861no—
388#501—438no—
389#501C2×D4318yescomplemented
390#500—438no—
391#479—438no—
392#479—438no—
393#477—438no—
394#476—438no—
395#474—438no—
396#474—438no—
397#446—438no—
398#440—438no—
399#440—438no—
400C4×SD16—438no—
401C2×#107—431no—
402C2×#107—431no—
403C2×#107—431no—
404C2×#107—431no—
405C2×#107C2×D4311yescharacteristic
406C2×#107C2×D4311yescharacteristic
407C2×#106—431no—
408C2×#106C2×D4311yescharacteristic
409C2×#106C2×D4311yescharacteristic
410C2×C4⋊C8—431no—
411C2×C4⋊C8—431no—
412C2×C4⋊C8—431no—
413C2×#103—431no—
414C2×#103—431no—
415C2×#103—431no—
416C2×#102—431no—
417C2×#102—431no—
418C2×#102—431no—
419C2×#97—431no—
420C2×#97C2×D4311yescharacteristic
421C2×C4×C8—431no—
422C43C2×#338511yescharacteristic, complemented, Sylow
423C22×Q8—21no—
424C22×Q8—431no—
425C22×Q8—431no—
426C22×Q8—861no—
427C22×Q8—861no—
428C22×Q8—861no—
429C22×D4—431no—
430C23×C4—861no—
431C23×C4—861no—
432C23×C4—861no—
433C2×SD16—438no—
434C2×SD16—434no—
435C22×C8—431no—
436C22×C8—431no—
437C22×C8C22×D4311yescharacteristic
438C22×C8C22×D4311yescharacteristic
439C4⋊Q8—22no—
440C4⋊Q8—434no—
441C4⋊Q8—434no—
442C4⋊Q8—434no—
443C4⋊Q8—862no—
444C4⋊Q8—862no—
445C4⋊Q8—862no—
446C4⋊Q8—868no—
447C4⋊Q8—868no—
448C4⋊Q8—868no—
449C4⋊Q8C22×D4314yes—
450#125—22no—
451#125—434no—
452#125—862no—
453#125C22×D4314yes—
454C22⋊Q8—868no—
455C22⋊Q8—868no—
456C22⋊Q8—868no—
457C4×Q8—434no—
458C4×Q8—434no—
459C4×Q8—434no—
460C4×Q8—434no—
461C4×Q8—434no—
462C4×Q8—862no—
463C4×Q8—862no—
464C4×Q8—868no—
465C4×Q8—862no—
466C4×D4—434no—
467C4×D4—434no—
468C4×D4—434no—
469C4×D4—862no—
470C4×D4—862no—
471C4×D4—862no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—868no—
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×C42—431no—
497C2×C42—431no—
498C2×C42—861no—
499C2×C42—861no—
500C2×C42—861no—
501C2×C42C22×D4311yescharacteristic
502#107—434no—
503#107—434no—
504#107—434no—
505#107—434no—
506#107C22×D4314yes—
507#107C22×D4314yes—
508#106—434no—
509#106C22×D4314yes—
510#106C22×D4314yes—
511C4⋊C8—434no—
512C4⋊C8—434no—
513C4⋊C8—434no—
514#103—434no—
515#103—434no—
516#103—434no—
517#102—434no—
518#102—434no—
519#102—434no—
520#97—434no—
521#97C22×D4314yes—
522C4×C8—434no—
523C24—861no—
524C2×Q8—24no—
525C2×Q8—82no—
526C2×Q8—434no—
527C2×Q8—434no—
528C2×Q8—432no—
529C2×Q8—864no—
530C2×Q8—864no—
531C2×Q8—864no—
532C2×Q8—864no—
533C2×Q8—861no—
534C2×Q8—862no—
535C2×Q8—3442no—
536C2×Q8—3442no—
537C2×Q8—3442no—
538C2×D4—434no—
539C2×D4—432no—
540C2×D4—861no—
541C2×D4—862no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—431no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—864no—
551C22×C4—864no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—864no—
556C22×C4—3442no—
557C22×C4—3442no—
558C22×C4—1724no—
559C22×C4D4×D4311yescharacteristic
560C22×C4D4×D4311yescharacteristic
561C22×C4C23×D4311yescharacteristic
562SD16—4316no—
563C2×C8—22no—
564C2×C8—432no—
565C2×C8—432no—
566C2×C8—862no—
567C2×C8—862no—
568C2×C8Q8×D4314yes—
569C2×C8C23×D4312yes—
570C2×C8C23×D4312yes—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—434no—
579C4⋊C4—434no—
580C4⋊C4—434no—
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—864no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—864no—
593C4⋊C4C23×D4312yes—
594C4⋊C4C23×D4312yes—
595C4⋊C4C23×D4312yes—
596C4⋊C4C23×D4312yes—
597C22⋊C4—864no—
598C22⋊C4—864no—
599C22⋊C4—864no—
600C42—432no—
601C42—432no—
602C42—432no—
603C42—432no—
604C42—864no—
605C42—864no—
606C42—864no—
607C42D4×D4312yes—
608C42C23×D4312yes—
609C23—864no—
610C23—862no—
611C23—1722no—
612C23—1722no—
613C23C2×D4×D4311yescharacteristic
614Q8—84no—
615Q8—434no—
616Q8—868no—
617Q8—864no—
618Q8—862no—
619Q8—3444no—
620Q8—3444no—
621Q8—3444no—
622D4—434no—
623D4—864no—
624D4—862no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—434no—
636C2×C4—432no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—864no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—3444no—
648C2×C4—3444no—
649C2×C4—1728no—
650C2×C4—1722no—
651C2×C4—1722no—
652C2×C4C2×D4×D4312yes—
653C2×C4C2×D4×D4312yes—
654C2×C4C2×D4×D4311yescharacteristic
655C2×C4C2×Q8×D4312yes—
656C2×C4#1306337312yes—
657C2×C4C24×D4311yescharacteristic
658C8—22no—
659C8—862no—
660C8—862no—
661C8C2×Q8×D4314yes—
662C22—864no—
663C22—1722no—
664C22—1722no—
665C22—1728no—
666C22#1458356412yes—
667C22#137×D4312yes—
668C22#1458370312yes—
669C22C22×D4×D4311yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—434no—
677C4—862no—
678C4—862no—
679C4—862no—
680C4—864no—
681C4—1722no—
682C4—1722no—
683C4#1458356412yes—
684C4C22×Q8×D4311yescharacteristic
685C4C2×#1306337311yescharacteristic
686C2—1724no—
687C2#1914750214yesdirect product factor
688C2C2×#1458356411yescharacteristic
689C2C2×#137×D4311yescharacteristic
690C2C2×#1458370311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#501C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#501D43
hypocenterC43C2×#3385
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
1. C2×#14583629C2semidirect
3. #19147502C2direct (N × H)
4. C2×#14583306C2semidirect
5. C2×#14583303C2semidirect
6. C2×#14583209C2semidirect
7. C2×#14583203C2semidirect
8. C2×#14583193C2semidirect
12. C2×#14583027C2semidirect
16. C2×C43×#501C2semidirect
19. #14583629C22semidirect
41. #14583306C22semidirect
42. #14583303C22semidirect
43. #14583209C22semidirect
44. #14583203C22semidirect
45. #14583193C22semidirect
49. #14583027C22semidirect
71. C43×#501C22semidirect
86. C2×#10621873Q8semidirect
262. #10621873C2×Q8semidirect
345. C2×#501D43semidirect
357. C2×C43#3385semidirect
389. #501C2×D43semidirect
422. C43C2×#3385semidirect
687. C2#19147502direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836292
C2×#145836052
#191475022
C2×#145833062
C2×#145833032
C2×#145832092
C2×#145832032
C2×#145831932
C2×#145831882
C2×#145831782
C2×#145831762
C2×#145830272
C2×#145830012
C2×#145829982
C2×#145829862
C2×C43×#5012
C2×#338543