Finite Group Databasebeta

← C2×#19147535 #25977119

Subgroups — C2×#19147535 #25977119

Order 11008.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583624C211yesmaximal, characteristic, complemented
2C2×#14583605C211yesmaximal, characteristic
3#19147535C2116yesmaximal, direct product factor
4C2×#14583306C211yesmaximal, characteristic, complemented
5C2×#14583300C211yesmaximal, characteristic, complemented
6C2×#14583205C211yesmaximal, characteristic, complemented
7C2×#14583203C211yesmaximal, characteristic, complemented
8C2×#14583183C211yesmaximal, characteristic, complemented
9C2×#14583202C211yesmaximal, characteristic
10C2×#14583198C211yesmaximal, characteristic
11C2×#14583186C211yesmaximal, characteristic
12C2×#14583027C211yesmaximal, characteristic, complemented
13C2×#14583001C211yesmaximal, characteristic
14C2×#14582998C211yesmaximal, characteristic
15C2×#14582986C211yesmaximal, characteristic
16C2×C43×#501C211yesmaximal, characteristic, complemented
17C22×#10621873C2211yescharacteristic
18#14583624—24no—
19#14583624C2218yescomplemented
20#14583605—24no—
21#14583605C2218yes—
22C2×#13063324C2211yescharacteristic
23C2×#13063323—21no—
24C2×#13063316C2211yescharacteristic
25C2×#13063316C2211yescharacteristic
26C2×#13063316C2211yescharacteristic
27C2×#13063315—21no—
28C2×#13063315—21no—
29C2×#13063305—21no—
30C2×#13063303—21no—
31C2×#13063303—21no—
32C2×Q8×Dic43—21no—
33C2×C4×Dic86C2211yescharacteristic
34C2×C4×Dic86C2211yescharacteristic
35C2×#13063290C2211yescharacteristic
36C2×#13063290C2211yescharacteristic
37C2×C4×D172C2211yescharacteristic
38C2×#13063287C2211yescharacteristic
39C2×#13063287C2211yescharacteristic
40C2×C4⋊C4×D43—21no—
41#14583306C2218yescomplemented
42#14583300C2218yescomplemented
43#14583205C2218yescomplemented
44#14583203C2218yescomplemented
45#14583202C2218yes—
46#14583198C2218yes—
47#14583186C2218yes—
48#14583183C2218yescomplemented
49#14583027C2218yescomplemented
50#14583001C2218yes—
51#14582998C2218yes—
52#14582986C2218yes—
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063256C2211yescharacteristic
56C2×#13063256C2211yescharacteristic
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×Dic86D411yescharacteristic
79C22×Dic86C2311yescharacteristic
80C22×D172C2311yescharacteristic
81C22×C4×D43—21no—
82C22×C4×D43—21no—
83C22×C4×D43—21no—
84C2×#10621873Q818yescomplemented
85C2×#10621873C2314yes—
86C22×C43⋊C8C2311yescharacteristic
87C22×C43⋊C8C2311yescharacteristic
88#13063324—22no—
89#13063324C2314yes—
90#13063323—28no—
91#13063316—22no—
92#13063316—22no—
93#13063316—22no—
94#13063316C2314yes—
95#13063316C2314yes—
96#13063316C2314yes—
97#13063315—28no—
98#13063315—28no—
99#13063305—28no—
100#13063303—28no—
101#13063303—28no—
102Q8×Dic43—28no—
103C4×Dic86—22no—
104C4×Dic86D414yes—
105C4×Dic86C2314yes—
106C4×Dic86C2314yes—
107#13063290—22no—
108#13063290—22no—
109#13063290C2314yes—
110#13063290C2314yes—
111C4×D172—22no—
112C4×D172C2314yes—
113#13063287—22no—
114#13063287—22no—
115#13063287C2314yes—
116#13063287C2314yes—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43—21no—
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#13063256C2314yes—
144#13063256C2314yes—
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—44no—
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—42no—
208C2×Dic86—82no—
209C2×Dic86C2×D414yes—
210C2×Dic86C2×Q814yes—
211C2×Dic86C2412yes—
212C2×C8×C43—22no—
213C2×C8×C43C2×Q814yes—
214C2×C8×C43C2412yes—
215C2×C8×C43C2412yes—
216C4⋊C4×C43—24no—
217C4⋊C4×C43—24no—
218C4⋊C4×C43—24no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43C2412yes—
224C4⋊C4×C43C2412yes—
225C4⋊C4×C43C2412yes—
226C4⋊C4×C43C2412yes—
227C42×C43C2×D412yes—
228C42×C43C2412yes—
229(C2×D43)⋊C4—24no—
230(C2×D43)⋊C4—24no—
231(C2×D43)⋊C4—24no—
232C4⋊Dic43—21no—
233C4⋊Dic43—21no—
234C4⋊Dic43—24no—
235C4⋊Dic43—24no—
236C4⋊Dic43—24no—
237C4⋊Dic43C2×D414yes—
238C4⋊Dic43C2412yes—
239C4⋊Dic43C2412yes—
240Dic43⋊C4—24no—
241Dic43⋊C4—24no—
242Dic43⋊C4—24no—
243Dic43⋊C4—24no—
244Dic43⋊C4—24no—
245Dic43⋊C4—24no—
246Dic43⋊C4—24no—
247Dic43⋊C4C2×D414yes—
248Dic43⋊C4C2×D414yes—
249C4×Dic43—24no—
250C4×Dic43—24no—
251C4×Dic43—24no—
252C4×Dic43C2×D412yes—
253C4×Dic43C2×D412yes—
254C4×Dic43C2412yes—
255C4×Dic43C2412yes—
256C2×C43⋊C8—22no—
257C2×C43⋊C8—22no—
258C2×C43⋊C8C2412yes—
259C2×C43⋊C8C2412yes—
260#10621873C2×Q8116yescomplemented
261C23×C43C22×D411yescharacteristic
262C22×D43—24no—
263C22×D43—22no—
264C22×D43—42no—
265C22×D43—42no—
266Q8×C43—48no—
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×C432−1+412yes—
282C2×C4×C43C2511yescharacteristic
283C2×Dic43—24no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43C22×D412yes—
294C2×Dic43C22×D412yes—
295C2×Dic43C22×D412yes—
296C2×Dic43C22×D412yes—
297D172—24no—
298D172—22no—
299D172C22×Q814yes—
300C4×D43—48no—
301C4×D43—84no—
302C4×D43—84no—
303Dic86—24no—
304Dic86—22no—
305Dic86—44no—
306Dic86—84no—
307Dic86C22×Q814yes—
308C8×C43—22no—
309C8×C43C22×Q814yes—
310C43⋊C8—22no—
311C43⋊C8—22no—
312C2×#3388—431nomaximal, Sylow
313C22×C43D4×Q812yes—
314C22×C43#57512yes—
315C22×C43#57712yes—
316C22×C43C23×D411yescharacteristic
317C2×D43—24no—
318C2×D43—48no—
319C2×D43—42no—
320C2×D43—42no—
321C4×C43—22no—
322C4×C43—22no—
323C4×C43—42no—
324C4×C43—42no—
325C4×C43—42no—
326C4×C43—42no—
327C4×C43D4×Q812yes—
328C4×C43C23×Q811yescharacteristic
329C4×C43C2×2−1+411yescharacteristic
330Dic43—24no—
331Dic43—22no—
332Dic43—22no—
333Dic43—22no—
334Dic43—22no—
335Dic43—42no—
336Dic43—42no—
337C2×#557—431no—
338C2×#554—431no—
339#3388—4316no—
340C2×#501—431no—
341C2×#501D4311yescharacteristic, complemented
342C2×#499—431no—
343C2×#479—431no—
344C2×#479—431no—
345C2×#475—431no—
346C2×#478—431no—
347C2×#478—431no—
348C2×#476—431no—
349C2×#446—431no—
350C2×#440—431no—
351C2×#440—431no—
352C2×C4×SD16—431no—
353C2×C43#338814yescomplemented
354C2×C43C2×D4×Q811yescharacteristic
355C2×C43C2×#57511yescharacteristic
356C2×C43C2×#57711yescharacteristic
357D43—44no—
358C22×SD16—431no—
359#557—438no—
360#557—864no—
361#554—438no—
362#554—864no—
363C2×C4⋊Q8—431no—
364C2×C4⋊Q8—861no—
365C2×C4⋊Q8C2×D4311yescharacteristic
366C2×#125—431no—
367C2×#125—431no—
368C2×#125—431no—
369C2×#125—861no—
370C2×#125—861no—
371C2×#125C2×D4311yescharacteristic
372C2×C22⋊Q8—861no—
373C2×C22⋊Q8—861no—
374C2×C22⋊Q8—861no—
375C2×C4×Q8—431no—
376C2×C4×Q8—431no—
377C2×C4×Q8—431no—
378C2×C4×Q8—431no—
379C2×C4×Q8—861no—
380C2×C4×D4—431no—
381C2×C4×D4—431no—
382C2×C4×D4—431no—
383C22×C4⋊C4—861no—
384#501—438no—
385#501C2×D4318yescomplemented
386#499—438no—
387#479—438no—
388#479—438no—
389#478—438no—
390#478—438no—
391#476—438no—
392#475—438no—
393#446—438no—
394#440—438no—
395#440—438no—
396C4×SD16—438no—
397C2×#107—431no—
398C2×#107—431no—
399C2×#107C2×D4311yescharacteristic
400C2×#107C2×D4311yescharacteristic
401C2×#106—431no—
402C2×#106—431no—
403C2×#106—431no—
404C2×#106C2×D4311yescharacteristic
405C2×#106C2×D4311yescharacteristic
406C2×C4⋊C8—431no—
407C2×C4⋊C8—431no—
408C2×C4⋊C8—431no—
409C2×#103—431no—
410C2×#103—431no—
411C2×#103—431no—
412C2×#102—431no—
413C2×#102—431no—
414C2×#102—431no—
415C2×#97—431no—
416C2×#97C2×D4311yescharacteristic
417C2×C4×C8—431no—
418C43C2×#338811yescharacteristic, complemented, Sylow
419C22×Q8—21no—
420C22×Q8—431no—
421C22×Q8—431no—
422C22×Q8—861no—
423C22×D4—431no—
424C23×C4—861no—
425C23×C4—861no—
426C23×C4—861no—
427C2×SD16—438no—
428C2×SD16—434no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433C4⋊Q8—22no—
434C4⋊Q8—434no—
435C4⋊Q8—862no—
436C4⋊Q8—868no—
437C4⋊Q8C22×D4314yes—
438#125—22no—
439#125—434no—
440#125—434no—
441#125—434no—
442#125—862no—
443#125—862no—
444#125—862no—
445#125—868no—
446#125—868no—
447#125C22×D4314yes—
448C22⋊Q8—868no—
449C22⋊Q8—868no—
450C22⋊Q8—868no—
451C4×Q8—434no—
452C4×Q8—434no—
453C4×Q8—434no—
454C4×Q8—434no—
455C4×Q8—434no—
456C4×Q8—862no—
457C4×Q8—862no—
458C4×Q8—868no—
459C4×Q8—862no—
460C4×D4—434no—
461C4×D4—434no—
462C4×D4—434no—
463C4×D4—862no—
464C4×D4—862no—
465C4×D4—862no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—868no—
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—861no—
490C2×C22⋊C4—861no—
491C2×C22⋊C4—861no—
492C2×C42—431no—
493C2×C42—431no—
494C2×C42—861no—
495C2×C42—861no—
496C2×C42—861no—
497C2×C42C22×D4311yescharacteristic
498#107—434no—
499#107—434no—
500#107C22×D4314yes—
501#107C22×D4314yes—
502#106—434no—
503#106—434no—
504#106—434no—
505#106C22×D4314yes—
506#106C22×D4314yes—
507C4⋊C8—434no—
508C4⋊C8—434no—
509C4⋊C8—434no—
510#103—434no—
511#103—434no—
512#103—434no—
513#102—434no—
514#102—434no—
515#102—434no—
516#97—434no—
517#97C22×D4314yes—
518C4×C8—434no—
519C24—861no—
520C2×Q8—24no—
521C2×Q8—44no—
522C2×Q8—434no—
523C2×Q8—434no—
524C2×Q8—432no—
525C2×Q8—864no—
526C2×Q8—861no—
527C2×Q8—862no—
528C2×Q8—3442no—
529C2×Q8—1722no—
530C2×D4—434no—
531C2×D4—432no—
532C2×D4—861no—
533C2×D4—862no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—431no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—864no—
548C22×C4—3442no—
549C22×C4—3442no—
550C22×C4—1724no—
551C22×C4D4×D4311yescharacteristic
552C22×C4D4×D4311yescharacteristic
553C22×C4C23×D4311yescharacteristic
554SD16—4316no—
555C2×C8—22no—
556C2×C8—432no—
557C2×C8—432no—
558C2×C8—862no—
559C2×C8—862no—
560C2×C8Q8×D4314yes—
561C2×C8C23×D4312yes—
562C2×C8C23×D4312yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—434no—
571C4⋊C4—434no—
572C4⋊C4—434no—
573C4⋊C4—432no—
574C4⋊C4—432no—
575C4⋊C4—864no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—864no—
587C4⋊C4C23×D4312yes—
588C4⋊C4C23×D4312yes—
589C4⋊C4C23×D4312yes—
590C4⋊C4C23×D4312yes—
591C22⋊C4—864no—
592C22⋊C4—864no—
593C22⋊C4—864no—
594C42—432no—
595C42—432no—
596C42—432no—
597C42—432no—
598C42—864no—
599C42—864no—
600C42—864no—
601C42D4×D4312yes—
602C42C23×D4312yes—
603C23—864no—
604C23—862no—
605C23—1722no—
606C23—1722no—
607C23C2×D4×D4311yescharacteristic
608Q8—48no—
609Q8—434no—
610Q8—864no—
611Q8—862no—
612Q8—3444no—
613Q8—1724no—
614D4—434no—
615D4—864no—
616D4—862no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—432no—
628C2×C4—432no—
629C2×C4—432no—
630C2×C4—432no—
631C2×C4—864no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—3444no—
640C2×C4—3444no—
641C2×C4—1728no—
642C2×C4—1722no—
643C2×C4—1722no—
644C2×C4C2×D4×D4312yes—
645C2×C4C2×D4×D4312yes—
646C2×C4C2×D4×D4311yescharacteristic
647C2×C4C2×Q8×D4312yes—
648C2×C4#1306337312yes—
649C2×C4C24×D4311yescharacteristic
650C8—22no—
651C8—862no—
652C8—862no—
653C8C2×Q8×D4314yes—
654C22—864no—
655C22—1728no—
656C22—1722no—
657C22—1722no—
658C22#1458356412yes—
659C22#1458369512yes—
660C22#1458370812yes—
661C22C22×D4×D4311yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—862no—
669C4—862no—
670C4—864no—
671C4—862no—
672C4—862no—
673C4—1722no—
674C4—1722no—
675C4#1458356412yes—
676C4C22×Q8×D4311yescharacteristic
677C4C2×#1306337311yescharacteristic
678C2—1724no—
679C2#1914753514yesdirect product factor
680C2C2×#1458356411yescharacteristic
681C2C2×#1458369511yescharacteristic
682C2C2×#1458370811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#501C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#501D43
hypocenterC43C2×#3388
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×#14583624C2semidirect
3. #19147535C2direct (N × H)
4. C2×#14583306C2semidirect
5. C2×#14583300C2semidirect
6. C2×#14583205C2semidirect
7. C2×#14583203C2semidirect
8. C2×#14583183C2semidirect
12. C2×#14583027C2semidirect
16. C2×C43×#501C2semidirect
19. #14583624C22semidirect
41. #14583306C22semidirect
42. #14583300C22semidirect
43. #14583205C22semidirect
44. #14583203C22semidirect
48. #14583183C22semidirect
49. #14583027C22semidirect
71. C43×#501C22semidirect
84. C2×#10621873Q8semidirect
260. #10621873C2×Q8semidirect
341. C2×#501D43semidirect
353. C2×C43#3388semidirect
385. #501C2×D43semidirect
418. C43C2×#3388semidirect
679. C2#19147535direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836242
C2×#145836052
#191475352
C2×#145833062
C2×#145833002
C2×#145832052
C2×#145832032
C2×#145831832
C2×#145832022
C2×#145831982
C2×#145831862
C2×#145830272
C2×#145830012
C2×#145829982
C2×#145829862
C2×C43×#5012
C2×#338843