Finite Group Databasebeta

← C2×#19147281 #25976210

Subgroups — C2×#19147281 #25976210

Order 11008.

1830 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×#14583621C211yesmaximal, characteristic
3#19147281C2116yesmaximal, direct product factor
4C2×#14583255C211yesmaximal, characteristic
5C2×#14583254C211yesmaximal, characteristic
6C2×#14583248C211yesmaximal, characteristic, complemented
7C2×#14583206C211yesmaximal, characteristic, complemented
8C2×#14583205C211yesmaximal, characteristic, complemented
9C2×#14583178C211yesmaximal, characteristic
10C2×#14583123C211yesmaximal, characteristic
11C2×#14583121C211yesmaximal, characteristic
12C2×#14583107C211yesmaximal, characteristic, complemented
13C2×C8×Dic86C211yesmaximal, characteristic, complemented
14C2×#14582991C211yesmaximal, characteristic, complemented
15C2×#14582984C211yesmaximal, characteristic
16C2×C4×Q16×C43C211yesmaximal, characteristic, complemented
17C22×#10621885C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19#14583625—24no—
20#14583625C2218yescomplemented
21#14583621—24no—
22#14583621C2218yes—
23C2×#13063324—21no—
24C2×#13063324C2211yescharacteristic
25C2×#13063323C2211yescharacteristic
26C2×#13063320—21no—
27C2×#13063319—21no—
28C2×#13063317—21no—
29C2×#13063317C2211yescharacteristic
30C2×#13063316—21no—
31C2×#13063316C2211yescharacteristic
32C2×#13063314C2211yescharacteristic
33C2×#13063313C2211yescharacteristic
34C2×#13063303—21no—
35C2×Q8×Dic43C2211yescharacteristic
36C2×Q8×Dic43C2211yescharacteristic
37C2×C4×Dic86—21no—
38C2×C4×Dic86C2211yescharacteristic
39C2×#13063290C2211yescharacteristic
40C2×#13063287C2211yescharacteristic
41C2×#13063282—21no—
42#14583255C2218yes—
43#14583254C2218yes—
44#14583248C2218yescomplemented
45#14583206C2218yescomplemented
46#14583205C2218yescomplemented
47#14583178C2218yes—
48#14583123C2218yes—
49#14583121C2218yes—
50#14583107C2218yescomplemented
51C8×Dic86C2218yescomplemented
52#14582991C2218yescomplemented
53#14582984C2218yes—
54C2×#13063258C2211yescharacteristic
55C2×#13063256C2211yescharacteristic
56C2×C4⋊(C43⋊C8)C2211yescharacteristic
57C2×Dic43⋊C8C2211yescharacteristic
58C2×Dic43⋊C8C2211yescharacteristic
59C2×#13063250C2211yescharacteristic
60C2×#13063250C2211yescharacteristic
61C2×#13063249C2211yescharacteristic
62C2×#13063249C2211yescharacteristic
63C2×#13063248C2211yescharacteristic
64C2×#13063247C2211yescharacteristic
65C2×#13063247C2211yescharacteristic
66C2×#13063245C2211yescharacteristic
67C2×C8×Dic43C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C22×Q16×C43C2211yescharacteristic
70C2×C4×Q8×C43C2211yescharacteristic
71C2×C4×Q8×C43C2211yescharacteristic
72C4×Q16×C43C2218yescomplemented
73C2×#107×C43C2211yescharacteristic
74C2×#103×C43C2211yescharacteristic
75C2×#103×C43C2211yescharacteristic
76C2×C4×C8×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86D411yescharacteristic
79C22×Dic86C2311yescharacteristic
80C22×D172C2311yescharacteristic
81C22×C4×D43—21no—
82C2×#10621885—24no—
83C2×#10621885C2314yes—
84C2×#10621884—24no—
85C2×#10621884C2314yes—
86C22×C43⋊C8C2311yescharacteristic
87C22×C43⋊C8C2311yescharacteristic
88#13063324—28no—
89#13063324—22no—
90#13063324C2314yes—
91#13063323—22no—
92#13063323C2314yes—
93#13063320—28no—
94#13063319—28no—
95#13063317—22no—
96#13063317—28no—
97#13063317C2314yes—
98#13063316—28no—
99#13063316—22no—
100#13063316C2314yes—
101#13063314—22no—
102#13063314C2314yes—
103#13063313—22no—
104#13063313C2314yes—
105#13063303—28no—
106Q8×Dic43—22no—
107Q8×Dic43—22no—
108Q8×Dic43C2314yes—
109Q8×Dic43C2314yes—
110C4×Dic86—28no—
111C4×Dic86D414yes—
112C4×Dic86C2314yes—
113#13063290—22no—
114#13063290C2314yes—
115#13063287—22no—
116#13063287C2314yes—
117#13063282—28no—
118C2×C4⋊Dic43—21no—
119C2×C4⋊Dic43—21no—
120C2×C4⋊Dic43—21no—
121C2×C4⋊Dic43D411yescharacteristic
122C2×C4⋊Dic43C2311yescharacteristic
123C2×C4⋊Dic43C2311yescharacteristic
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⋊C4—21no—
131C2×Dic43⋊C4D411yescharacteristic
132C2×Dic43⋊C4D411yescharacteristic
133C2×(C2×D43)⋊C4—21no—
134C2×(C2×D43)⋊C4—21no—
135C2×(C2×D43)⋊C4—21no—
136C2×(C2×D43)⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43—21no—
140C2×C4×Dic43—21no—
141C2×C4×Dic43C2311yescharacteristic
142C2×C4×Dic43C2311yescharacteristic
143#13063258C2314yes—
144#13063256C2314yes—
145C4⋊(C43⋊C8)C2314yes—
146Dic43⋊C8C2314yes—
147Dic43⋊C8C2314yes—
148#13063250C2314yes—
149#13063250C2314yes—
150#13063249C2314yes—
151#13063249C2314yes—
152#13063248C2314yes—
153#13063247C2314yes—
154#13063247C2314yes—
155#13063245C2314yes—
156C8×Dic43C2314yes—
157C8×Dic43C2314yes—
158C22×Q8×C43C2311yescharacteristic
159C22×Q8×C43C2311yescharacteristic
160C2×Q16×C43—24no—
161C2×Q16×C43C2314yes—
162C22×C8×C43C2311yescharacteristic
163C22×C8×C43C2311yescharacteristic
164C4×Q8×C43—22no—
165C4×Q8×C43—22no—
166C4×Q8×C43C2314yes—
167C4×Q8×C43C2314yes—
168C2×C4⋊C4×C43—21no—
169C2×C4⋊C4×C43—21no—
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C4⋊C4×C43C2311yescharacteristic
172C2×C42×C43—21no—
173C2×C42×C43—21no—
174C2×C42×C43C2311yescharacteristic
175#107×C43C2314yes—
176#103×C43C2314yes—
177#103×C43C2314yes—
178C4×C8×C43C2314yes—
179C23×D43—21no—
180C2×Q8×C43—21no—
181C2×Q8×C43—21no—
182C2×Q8×C43—22no—
183C2×Q8×C43—22no—
184C2×Q8×C43—22no—
185C2×Q8×C43#4114yes—
186C2×Q8×C43C2412yes—
187C2×Q8×C43C2412yes—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43—21no—
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2411yescharacteristic
195C22×Dic43—21no—
196C22×Dic43—21no—
197C22×Dic43—21no—
198C22×Dic43C2×D411yescharacteristic
199C22×Dic43C2×D411yescharacteristic
200C22×Dic43C2×D411yescharacteristic
201C22×Dic43C2×D411yescharacteristic
202C2×D172—21no—
203C2×D172—22no—
204C2×D172—22no—
205C2×D172C2412yes—
206C2×C4×D43—24no—
207C2×C4×D43—44no—
208C2×Dic86—24no—
209C2×Dic86—22no—
210C2×Dic86—22no—
211C2×Dic86—21no—
212C2×Dic86—24no—
213C2×Dic86—44no—
214C2×Dic86C2×D414yes—
215C2×Dic86C2412yes—
216Q16×C43—28no—
217C2×C8×C43—22no—
218C2×C8×C43—22no—
219C2×C8×C43C2412yes—
220C2×C8×C43C2412yes—
221C4⋊C4×C43—24no—
222C4⋊C4×C43—24no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43C2412yes—
226C4⋊C4×C43C2412yes—
227C42×C43—24no—
228C42×C43—24no—
229C42×C43C2×D412yes—
230C42×C43C2412yes—
231#10621885—28no—
232#10621884—28no—
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⋊Dic43C2×D414yes—
244C4⋊Dic43C2412yes—
245C4⋊Dic43C2412yes—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4C2×D414yes—
254Dic43⋊C4C2×D414yes—
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—42no—
276Q8×C43C2×#4114yes—
277C2×C4×C43—24no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—42no—
285C2×C4×C43—42no—
286C2×C4×C43—42no—
287C2×C4×C43C22×D412yes—
288C2×C4×C43C22×D412yes—
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C2×#4112yes—
291C2×C4×C432−1+412yes—
292C2×C4×C43C2511yescharacteristic
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43#13514yes—
303C2×Dic43C22×D412yes—
304C2×Dic43C22×D412yes—
305C2×Dic43C22×D412yes—
306C2×Dic43C22×D412yes—
307D172—22no—
308D172—22no—
309D172—42no—
310C4×D43—48no—
311Dic86—28no—
312Dic86—22no—
313Dic86—22no—
314Dic86—42no—
315Dic86—48no—
316C8×C43—22no—
317C8×C43—22no—
318C43⋊C8—22no—
319C43⋊C8—22no—
320C2×#3364—431nomaximal, Sylow
321C22×C43#54812yes—
322C22×C43C2×#13512yes—
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—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43C2×#13514yes—
345C2×#557—431no—
346C2×#556—431no—
347#3364—4316no—
348C2×#488—431no—
349C2×#488—431no—
350C2×#487—431no—
351C2×#479—431no—
352C2×#479—431no—
353C2×#474—431no—
354C2×#464—431no—
355C2×#464—431no—
356C2×#462—431no—
357C2×C8×Q8—431no—
358C2×C4×Q16—431no—
359C2×C4×Q16D4311yescharacteristic, complemented
360C2×C4×SD16—431no—
361C2×C43#336414yescomplemented
362C2×C43C2×#54811yescharacteristic
363C2×C43C22×#13511yescharacteristic
364C2×C43C2×#57811yescharacteristic
365D43—82no—
366C22×Q16—431no—
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—431no—
375C2×C4⋊Q8—861no—
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—861no—
390C2×C4×Q8C2×D4311yescharacteristic
391C2×C4×Q8C2×D4311yescharacteristic
392C2×C4×D4—431no—
393C2×#117—861no—
394#488—438no—
395#488—438no—
396#487—438no—
397#479—438no—
398#479—438no—
399#474—438no—
400#464—438no—
401#464—438no—
402#462—438no—
403C8×Q8—438no—
404C4×Q16—438no—
405C4×Q16C2×D4318yescomplemented
406C4×SD16—438no—
407C2×#107—431no—
408C2×#107C2×D4311yescharacteristic
409C2×#106—431no—
410C2×C4⋊C8—431no—
411C2×C4⋊C8—431no—
412C2×C4⋊C8—431no—
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×C4×C8—431no—
424C2×C4×C8—431no—
425C2×C4×C8C2×D4311yescharacteristic
426C43C2×#336411yescharacteristic, complemented, Sylow
427C22×Q8—431no—
428C22×Q8—431no—
429C22×Q8—861no—
430C22×Q8C22×D4311yescharacteristic
431C22×Q8C22×D4311yescharacteristic
432C22×D4—431no—
433C23×C4—861no—
434C2×Q16—24no—
435C2×Q16—434no—
436C2×Q16—864no—
437C2×Q16C22×D4314yes—
438C2×SD16—434no—
439C2×SD16—864no—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C4⋊Q8—434no—
445C4⋊Q8—434no—
446C4⋊Q8—862no—
447C4⋊Q8—862no—
448C4⋊Q8—868no—
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—22no—
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×Q8C22×D4314yes—
474C4×Q8C22×D4314yes—
475C4×D4—434no—
476C4×D4—862no—
477#117—868no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—431no—
481C2×C4⋊C4—431no—
482C2×C4⋊C4—431no—
483C2×C4⋊C4—431no—
484C2×C4⋊C4—431no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
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⋊C4C22×D4311yescharacteristic
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—21no—
504C2×C42—431no—
505C2×C42—431no—
506C2×C42—861no—
507C2×C42—861no—
508C2×C42—861no—
509C2×C42C22×D4311yescharacteristic
510#107—434no—
511#107C22×D4314yes—
512#106—434no—
513C4⋊C8—434no—
514C4⋊C8—434no—
515C4⋊C8—434no—
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—
526C4×C8—434no—
527C4×C8—434no—
528C4×C8C22×D4314yes—
529C24—861no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—434no—
536C2×Q8—432no—
537C2×Q8—864no—
538C2×Q8—864no—
539C2×Q8—861no—
540C2×Q8—862no—
541C2×Q8—862no—
542C2×Q8—1724no—
543C2×Q8#1062189814yes—
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—864no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—1724no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566Q16—28no—
567Q16—868no—
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—21no—
580C4⋊C4—21no—
581C4⋊C4—434no—
582C4⋊C4—434no—
583C4⋊C4—434no—
584C4⋊C4—432no—
585C4⋊C4—432no—
586C4⋊C4—864no—
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—864no—
597C4⋊C4—864no—
598C4⋊C4C23×D4312yes—
599C4⋊C4C23×D4312yes—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C42—24no—
606C42—24no—
607C42—432no—
608C42—432no—
609C42—432no—
610C42—432no—
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—42no—
626Q8—868no—
627Q8—862no—
628Q8—862no—
629Q8—1728no—
630Q8—1722no—
631Q8C2×#1062189814yes—
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—434no—
646C2×C4—432no—
647C2×C4—432no—
648C2×C4—432no—
649C2×C4—432no—
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×#1062189812yes—
664C2×C4#1306337212yes—
665C2×C4C24×D4311yescharacteristic
666C8—22no—
667C8—22no—
668C8—862no—
669C8—862no—
670C22—3444no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22#1458355812yes—
675C22#135×D4312yes—
676C22#1458371212yes—
677C22C22×D4×D4311yescharacteristic
678C4—22no—
679C4—24no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—434no—
685C4—862no—
686C4—862no—
687C4—862no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4#1458355812yes—
692C4C22×#1062189811yescharacteristic
693C4C2×#1306337211yescharacteristic
694C2—3442no—
695C2#1914728114yesdirect product factor
696C2C2×#1458355811yescharacteristic
697C2C2×#135×D4311yescharacteristic
698C2C2×#1458371211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C4×Q16×C43C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×C4×Q16D43
hypocenterC43C2×#3364
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×Q16

Complements

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

NH ≅ G/Ntype
1. C2×#14583625C2semidirect
3. #19147281C2direct (N × H)
6. C2×#14583248C2semidirect
7. C2×#14583206C2semidirect
8. C2×#14583205C2semidirect
12. C2×#14583107C2semidirect
13. C2×C8×Dic86C2semidirect
14. C2×#14582991C2semidirect
16. C2×C4×Q16×C43C2semidirect
20. #14583625C22semidirect
44. #14583248C22semidirect
45. #14583206C22semidirect
46. #14583205C22semidirect
50. #14583107C22semidirect
51. C8×Dic86C22semidirect
52. #14582991C22semidirect
72. C4×Q16×C43C22semidirect
359. C2×C4×Q16D43semidirect
361. C2×C43#3364semidirect
405. C4×Q16C2×D43semidirect
426. C43C2×#3364semidirect
695. C2#19147281direct (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×#145836212
#191472812
C2×#145832552
C2×#145832542
C2×#145832482
C2×#145832062
C2×#145832052
C2×#145831782
C2×#145831232
C2×#145831212
C2×#145831072
C2×C8×Dic862
C2×#145829912
C2×#145829842
C2×C4×Q16×C432
C2×#336443