Finite Group Databasebeta

← C2×#19147430 #25976387

Subgroups — C2×#19147430 #25976387

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583625C211yesmaximal, characteristic, complemented
2C2×#14583623C211yesmaximal, characteristic
3#19147430C2116yesmaximal, direct product factor
4C2×#14583267C211yesmaximal, characteristic, complemented
5C2×#14583260C211yesmaximal, characteristic
6C2×#14583255C211yesmaximal, characteristic
7C2×#14583204C211yesmaximal, characteristic, complemented
8C2×#14583192C211yesmaximal, characteristic, complemented
9C2×#14583200C211yesmaximal, characteristic
10C2×#14583123C211yesmaximal, characteristic
11C2×#14583123C211yesmaximal, characteristic
12C2×#14583028C211yesmaximal, characteristic, complemented
13C2×#14583006C211yesmaximal, characteristic, complemented
14C2×#14582997C211yesmaximal, characteristic
15C2×Q16×Dic43C211yesmaximal, characteristic, complemented
16C2×C43×#462C211yesmaximal, characteristic, complemented
17C22×#10621884C2211yescharacteristic
18#14583625—24no—
19#14583625C2218yescomplemented
20#14583623—24no—
21#14583623C2218yes—
22C2×#13063324—21no—
23C2×#13063324C2211yescharacteristic
24C2×#13063320—21no—
25C2×#13063320—21no—
26C2×#13063317—21no—
27C2×#13063317C2211yescharacteristic
28C2×#13063316—21no—
29C2×#13063316C2211yescharacteristic
30C2×#13063314C2211yescharacteristic
31C2×#13063314C2211yescharacteristic
32C2×#13063305—21no—
33C2×Q8×Dic43C2211yescharacteristic
34C2×Q8×Dic43C2211yescharacteristic
35C2×Q8×Dic43C2211yescharacteristic
36C2×Q8×Dic43C2211yescharacteristic
37C2×C4×Dic86—21no—
38C2×C4×Dic86C2211yescharacteristic
39C2×C4×D172C2211yescharacteristic
40C2×#13063283—21no—
41#14583267C2218yescomplemented
42#14583260C2218yes—
43#14583255C2218yes—
44#14583204C2218yescomplemented
45#14583200C2218yes—
46#14583192C2218yescomplemented
47#14583123C2218yes—
48#14583123C2218yes—
49#14583028C2218yescomplemented
50#14583006C2218yescomplemented
51#14582997C2218yes—
52Q16×Dic43C2218yescomplemented
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063257C2211yescharacteristic
56C2×Dic43⋊C8C2211yescharacteristic
57C2×Dic43⋊C8C2211yescharacteristic
58C2×#13063249C2211yescharacteristic
59C2×#13063249C2211yescharacteristic
60C2×#13063249C2211yescharacteristic
61C2×#13063249C2211yescharacteristic
62C2×#13063249C2211yescharacteristic
63C2×#13063247C2211yescharacteristic
64C2×#13063247C2211yescharacteristic
65C2×#13063245C2211yescharacteristic
66C2×#13063236C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C22×Q16×C43C2211yescharacteristic
70C22×Q16×C43C2211yescharacteristic
71C2×C4⋊Q8×C43C2211yescharacteristic
72C2×C4×Q8×C43C2211yescharacteristic
73C43×#462C2218yescomplemented
74C2×C4⋊C8×C43C2211yescharacteristic
75C2×#103×C43C2211yescharacteristic
76C2×#103×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86D411yescharacteristic
79C22×D172C2311yescharacteristic
80C22×C4×D43—21no—
81C2×#10621884—24no—
82C2×#10621884C2314yes—
83C22×C43⋊C8C2311yescharacteristic
84C22×C43⋊C8C2311yescharacteristic
85#13063324—28no—
86#13063324—22no—
87#13063324C2314yes—
88#13063320—28no—
89#13063320—28no—
90#13063317—22no—
91#13063317—28no—
92#13063317C2314yes—
93#13063316—28no—
94#13063316—22no—
95#13063316C2314yes—
96#13063314—22no—
97#13063314—22no—
98#13063314C2314yes—
99#13063314C2314yes—
100#13063305—28no—
101Q8×Dic43—22no—
102Q8×Dic43—22no—
103Q8×Dic43—22no—
104Q8×Dic43—22no—
105Q8×Dic43C2314yes—
106Q8×Dic43C2314yes—
107Q8×Dic43C2314yes—
108Q8×Dic43C2314yes—
109C4×Dic86—28no—
110C4×Dic86D414yes—
111C4×Dic86C2314yes—
112C4×D172—22no—
113C4×D172C2314yes—
114#13063283—28no—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—21no—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43—21no—
119C2×C4⋊Dic43—21no—
120C2×C4⋊Dic43D411yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×C4⋊Dic43C2311yescharacteristic
123C2×C4⋊Dic43C2311yescharacteristic
124C2×Dic43⋊C4—21no—
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4D411yescharacteristic
129C2×Dic43⋊C4D411yescharacteristic
130C2×(C2×D43)⋊C4—21no—
131C2×(C2×D43)⋊C4—21no—
132C2×(C2×D43)⋊C4—21no—
133C2×(C2×D43)⋊C4—21no—
134C2×(C2×D43)⋊C4—21no—
135C2×C4×Dic43—21no—
136C2×C4×Dic43—21no—
137C2×C4×Dic43—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43C2311yescharacteristic
140C2×C4×Dic43C2311yescharacteristic
141#13063259C2314yes—
142#13063258C2314yes—
143#13063257C2314yes—
144Dic43⋊C8C2314yes—
145Dic43⋊C8C2314yes—
146#13063249C2314yes—
147#13063249C2314yes—
148#13063249C2314yes—
149#13063249C2314yes—
150#13063249C2314yes—
151#13063247C2314yes—
152#13063247C2314yes—
153#13063245C2314yes—
154#13063236C2314yes—
155#13063235C2314yes—
156C8×Dic43C2314yes—
157C22×Q8×C43C2311yescharacteristic
158C22×Q8×C43C2311yescharacteristic
159C22×Q8×C43C2311yescharacteristic
160C2×Q16×C43—24no—
161C2×Q16×C43—24no—
162C2×Q16×C43C2314yes—
163C2×Q16×C43C2314yes—
164C22×C8×C43C2311yescharacteristic
165C22×C8×C43C2311yescharacteristic
166C4⋊Q8×C43—22no—
167C4⋊Q8×C43C2314yes—
168C4×Q8×C43—22no—
169C4×Q8×C43C2314yes—
170C2×C4⋊C4×C43—21no—
171C2×C4⋊C4×C43—21no—
172C2×C4⋊C4×C43—21no—
173C2×C4⋊C4×C43C2311yescharacteristic
174C2×C42×C43—21no—
175C2×C42×C43C2311yescharacteristic
176C4⋊C8×C43C2314yes—
177#103×C43C2314yes—
178#103×C43C2314yes—
179C23×D43—21no—
180C2×Q8×C43—21no—
181C2×Q8×C43—21no—
182C2×Q8×C43—21no—
183C2×Q8×C43—22no—
184C2×Q8×C43—22no—
185C2×Q8×C43—22no—
186C2×Q8×C43—22no—
187C2×Q8×C43—22no—
188C2×Q8×C43#4114yes—
189C2×Q8×C43C2412yes—
190C2×Q8×C43C2412yes—
191C2×Q8×C43C2412yes—
192C22×C4×C43—21no—
193C22×C4×C43—21no—
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43C2×D411yescharacteristic
197C22×C4×C43C2×D411yescharacteristic
198C22×C4×C43C2411yescharacteristic
199C22×Dic43—21no—
200C22×Dic43—21no—
201C22×Dic43—21no—
202C22×Dic43C2×D411yescharacteristic
203C22×Dic43C2×D411yescharacteristic
204C22×Dic43C2×D411yescharacteristic
205C22×Dic43C2×D411yescharacteristic
206C2×D172—21no—
207C2×D172—22no—
208C2×D172—22no—
209C2×D172C2412yes—
210C2×C4×D43—24no—
211C2×C4×D43—44no—
212C2×Dic86—24no—
213C2×Dic86—42no—
214C2×Dic86—44no—
215C2×Dic86C2×D414yes—
216Q16×C43—28no—
217Q16×C43—28no—
218C2×C8×C43—22no—
219C2×C8×C43—22no—
220C2×C8×C43C2412yes—
221C2×C8×C43C2412yes—
222C4⋊C4×C43—24no—
223C4⋊C4×C43—24no—
224C4⋊C4×C43—24no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43C2412yes—
227C42×C43—24no—
228C42×C43C2×D412yes—
229C42×C43C2412yes—
230#10621884—28no—
231(C2×D43)⋊C4—24no—
232(C2×D43)⋊C4—24no—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—24no—
235(C2×D43)⋊C4—24no—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238C4⋊Dic43—21no—
239C4⋊Dic43—24no—
240C4⋊Dic43—24no—
241C4⋊Dic43—24no—
242C4⋊Dic43—24no—
243C4⋊Dic43—24no—
244C4⋊Dic43C2×D414yes—
245C4⋊Dic43C2412yes—
246C4⋊Dic43C2412yes—
247C4⋊Dic43C2412yes—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4C2×D414yes—
253Dic43⋊C4C2×D414yes—
254C4×Dic43—24no—
255C4×Dic43—24no—
256C4×Dic43—24no—
257C4×Dic43—24no—
258C4×Dic43C2×D412yes—
259C4×Dic43C2×D412yes—
260C4×Dic43C2412yes—
261C4×Dic43C2412yes—
262C2×C43⋊C8—22no—
263C2×C43⋊C8—22no—
264C2×C43⋊C8C2412yes—
265C2×C43⋊C8C2412yes—
266C23×C43C22×D411yescharacteristic
267C22×D43—22no—
268C22×D43—42no—
269C22×D43—42no—
270C22×D43—42no—
271Q8×C43—24no—
272Q8×C43—22no—
273Q8×C43—22no—
274Q8×C43—22no—
275Q8×C43—22no—
276Q8×C43—22no—
277Q8×C43—42no—
278Q8×C43—42no—
279Q8×C43C2×#4114yes—
280C2×C4×C43—24no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—22no—
286C2×C4×C43—22no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43—42no—
290C2×C4×C43C22×D412yes—
291C2×C4×C43C22×D412yes—
292C2×C4×C43C22×D411yescharacteristic
293C2×C4×C43C2×#4112yes—
294C2×C4×C432−1+412yes—
295C2×C4×C43C2511yescharacteristic
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—22no—
303C2×Dic43—42no—
304C2×Dic43—42no—
305C2×Dic43—42no—
306C2×Dic43C22×D412yes—
307C2×Dic43C22×D412yes—
308C2×Dic43C22×D412yes—
309C2×Dic43C22×D412yes—
310D172—22no—
311D172—22no—
312D172—42no—
313C4×D43—48no—
314Dic86—44no—
315Dic86—48no—
316C8×C43—22no—
317C8×C43—22no—
318C43⋊C8—22no—
319C43⋊C8—22no—
320C2×#3377—431nomaximal, Sylow
321C22×C43#54812yes—
322C22×C43#57512yes—
323C22×C43#57812yes—
324C22×C43C23×D411yescharacteristic
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—84no—
329C4×C43—24no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43#54812yes—
336C4×C43C22×#4111yescharacteristic
337C4×C43C2×2−1+411yescharacteristic
338Dic43—22no—
339Dic43—22no—
340Dic43—22no—
341Dic43—22no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345C2×#557—431no—
346C2×#556—431no—
347#3377—4316no—
348C2×#491—431no—
349C2×#489—431no—
350C2×#488—431no—
351C2×#479—431no—
352C2×#477—431no—
353C2×#478—431no—
354C2×#464—431no—
355C2×#464—431no—
356C2×#462D4311yescharacteristic, complemented
357C2×#446—431no—
358C2×#441—431no—
359C2×#440—431no—
360C2×C4×Q16—431no—
361C2×C43#337714yescomplemented
362C2×C43C2×#54811yescharacteristic
363C2×C43C2×#57511yescharacteristic
364C2×C43C2×#57811yescharacteristic
365D43—82no—
366C22×Q16C2×D4311yescharacteristic
367C22×Q16C2×D4311yescharacteristic
368C22×SD16—431no—
369#557—438no—
370#557—864no—
371#556—438no—
372#556—864no—
373C2×C4⋊Q8—431no—
374C2×C4⋊Q8—861no—
375C2×C4⋊Q8C2×D4311yescharacteristic
376C2×#126—861no—
377C2×#126—861no—
378C2×#125—431no—
379C2×#125—431no—
380C2×#125—861no—
381C2×#125—861no—
382C2×#124—431no—
383C2×#124—431no—
384C2×C22⋊Q8—861no—
385C2×C4×Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—431no—
389C2×C4×Q8—431no—
390C2×C4×Q8—861no—
391C2×C4×Q8C2×D4311yescharacteristic
392C2×C4×D4—431no—
393C2×#117—861no—
394#491—438no—
395#489—438no—
396#488—438no—
397#479—438no—
398#478—438no—
399#477—438no—
400#464—438no—
401#464—438no—
402#462C2×D4318yescomplemented
403#446—438no—
404#441—438no—
405#440—438no—
406C4×Q16—438no—
407C2×#107—431no—
408C2×#107—431no—
409C2×#106—431no—
410C2×C4⋊C8—431no—
411C2×C4⋊C8—431no—
412C2×C4⋊C8C2×D4311yescharacteristic
413C2×#103—431no—
414C2×#103—431no—
415C2×#103—431no—
416C2×#103—431no—
417C2×#103—431no—
418C2×#103C2×D4311yescharacteristic
419C2×#103C2×D4311yescharacteristic
420C2×#102—431no—
421C2×#102—431no—
422C2×#102—431no—
423C2×#97—431no—
424C2×#97—431no—
425C2×C4×C8—431no—
426C43C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—431no—
428C22×Q8—861no—
429C22×Q8C22×D4311yescharacteristic
430C22×Q8C22×D4311yescharacteristic
431C22×Q8C22×D4311yescharacteristic
432C22×D4—431no—
433C23×C4—861no—
434C2×Q16—24no—
435C2×Q16—24no—
436C2×Q16C22×D4314yes—
437C2×Q16C22×D4314yes—
438C2×SD16—434no—
439C2×SD16—864no—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C4⋊Q8—22no—
445C4⋊Q8—434no—
446C4⋊Q8—862no—
447C4⋊Q8—868no—
448C4⋊Q8C22×D4314yes—
449#126—868no—
450#126—868no—
451#125—434no—
452#125—434no—
453#125—868no—
454#125—862no—
455#125—868no—
456#125—862no—
457#124—434no—
458#124—434no—
459#124—862no—
460#124—862no—
461C22⋊Q8—868no—
462C4×Q8—22no—
463C4×Q8—434no—
464C4×Q8—434no—
465C4×Q8—434no—
466C4×Q8—434no—
467C4×Q8—434no—
468C4×Q8—434no—
469C4×Q8—868no—
470C4×Q8—862no—
471C4×Q8—862no—
472C4×Q8—862no—
473C4×Q8—862no—
474C4×Q8C22×D4314yes—
475C4×D4—434no—
476C4×D4—862no—
477#117—868no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—431no—
482C2×C4⋊C4—431no—
483C2×C4⋊C4—431no—
484C2×C4⋊C4—431no—
485C2×C4⋊C4—431no—
486C2×C4⋊C4—431no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—861no—
493C2×C4⋊C4—861no—
494C2×C4⋊C4—861no—
495C2×C4⋊C4—861no—
496C2×C4⋊C4C22×D4311yescharacteristic
497C2×C22⋊C4—861no—
498C2×C22⋊C4—861no—
499C2×C22⋊C4—861no—
500C2×C22⋊C4—861no—
501C2×C22⋊C4—861no—
502C2×C42—21no—
503C2×C42—431no—
504C2×C42—431no—
505C2×C42—861no—
506C2×C42—861no—
507C2×C42—861no—
508C2×C42—861no—
509C2×C42C22×D4311yescharacteristic
510#107—434no—
511#107—434no—
512#106—434no—
513C4⋊C8—434no—
514C4⋊C8—434no—
515C4⋊C8C22×D4314yes—
516#103—434no—
517#103—434no—
518#103—434no—
519#103—434no—
520#103—434no—
521#103C22×D4314yes—
522#103C22×D4314yes—
523#102—434no—
524#102—434no—
525#102—434no—
526#97—434no—
527#97—434no—
528C4×C8—434no—
529C24—861no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—434no—
539C2×Q8—864no—
540C2×Q8—1722no—
541C2×Q8—1724no—
542C2×Q8#1062190014yes—
543C2×Q8C23×D4312yes—
544C2×Q8C23×D4312yes—
545C2×Q8C23×D4312yes—
546C2×D4—432no—
547C2×D4—861no—
548C2×D4—862no—
549C2×D4—862no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—431no—
555C22×C4—431no—
556C22×C4—431no—
557C22×C4—431no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—864no—
562C22×C4—1724no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566Q16—28no—
567Q16—28no—
568SD16—868no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—432no—
572C2×C8—432no—
573C2×C8—862no—
574C2×C8—862no—
575C2×C8C23×D4312yes—
576C2×C8C23×D4312yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—434no—
582C4⋊C4—434no—
583C4⋊C4—434no—
584C4⋊C4—432no—
585C4⋊C4—432no—
586C4⋊C4—432no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—864no—
592C4⋊C4—864no—
593C4⋊C4—864no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—861no—
597C4⋊C4—864no—
598C4⋊C4—864no—
599C4⋊C4C23×D4312yes—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C42—24no—
606C42—432no—
607C42—432no—
608C42—432no—
609C42—432no—
610C42—864no—
611C42—864no—
612C42—864no—
613C42—864no—
614C42D4×D4312yes—
615C42C23×D4312yes—
616C23—862no—
617C23—1722no—
618C23—1722no—
619C23—1722no—
620C23C2×D4×D4311yescharacteristic
621Q8—24no—
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—22no—
626Q8—22no—
627Q8—42no—
628Q8—42no—
629Q8—1724no—
630Q8—1728no—
631Q8C2×#1062190014yes—
632D4—862no—
633D4—862no—
634D4—1722no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—432no—
648C2×C4—432no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—1728no—
657C2×C4—1722no—
658C2×C4—1722no—
659C2×C4—1722no—
660C2×C4C2×D4×D4312yes—
661C2×C4C2×D4×D4312yes—
662C2×C4C2×D4×D4311yescharacteristic
663C2×C4C2×#1062190012yes—
664C2×C4#1306337212yes—
665C2×C4C24×D4311yescharacteristic
666C8—22no—
667C8—22no—
668C8—862no—
669C8—862no—
670C22—3444no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22#1458355512yes—
675C22#1458369812yes—
676C22#1458371212yes—
677C22C22×D4×D4311yescharacteristic
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—862no—
685C4—862no—
686C4—862no—
687C4—862no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4#1458355512yes—
692C4C22×#1062190011yescharacteristic
693C4C2×#1306337211yescharacteristic
694C2—3442no—
695C2#1914743014yesdirect product factor
696C2C2×#1458355511yescharacteristic
697C2C2×#1458369811yescharacteristic
698C2C2×#1458371211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#462C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#462D43
hypocenterC43C2×#3377
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
1. C2×#14583625C2semidirect
3. #19147430C2direct (N × H)
4. C2×#14583267C2semidirect
7. C2×#14583204C2semidirect
8. C2×#14583192C2semidirect
12. C2×#14583028C2semidirect
13. C2×#14583006C2semidirect
15. C2×Q16×Dic43C2semidirect
16. C2×C43×#462C2semidirect
19. #14583625C22semidirect
41. #14583267C22semidirect
44. #14583204C22semidirect
46. #14583192C22semidirect
49. #14583028C22semidirect
50. #14583006C22semidirect
52. Q16×Dic43C22semidirect
73. C43×#462C22semidirect
356. C2×#462D43semidirect
361. C2×C43#3377semidirect
402. #462C2×D43semidirect
426. C43C2×#3377semidirect
695. C2#19147430direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836252
C2×#145836232
#191474302
C2×#145832672
C2×#145832602
C2×#145832552
C2×#145832042
C2×#145831922
C2×#145832002
C2×#145831232
C2×#145830282
C2×#145830062
C2×#145829972
C2×Q16×Dic432
C2×C43×#4622
C2×#337743