Finite Group Databasebeta

← C2×#19145880 #25968820

Subgroups — C2×#19145880 #25968820

Order 11008.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583527C211yesmaximal, characteristic, complemented
2C2×#14583520C211yesmaximal, characteristic
3#19145880C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583304C211yesmaximal, characteristic, complemented
6C2×#14583259C211yesmaximal, characteristic, complemented
7C2×#14583254C211yesmaximal, characteristic, complemented
8C2×#14583235C211yesmaximal, characteristic, complemented
9C2×#14583241C211yesmaximal, characteristic, complemented
10C2×#14583224C211yesmaximal, characteristic
11C2×#14583213C211yesmaximal, characteristic
12C2×#14583207C211yesmaximal, characteristic, complemented
13C2×#14583195C211yesmaximal, characteristic, complemented
14C2×#14583200C211yesmaximal, characteristic, complemented
15C2×#14583180C211yesmaximal, characteristic, complemented
16C2×C43×#433C211yesmaximal, characteristic, complemented
17#14583527—24no—
18#14583527C2218yescomplemented
19#14583520—24no—
20#14583520C2218yes—
21C2×#13063325C2211yescharacteristic
22C2×#13063325C2211yescharacteristic
23C2×#13063325C2211yescharacteristic
24C2×#13063324—21no—
25C2×#13063320—21no—
26C2×#13063317C2211yescharacteristic
27C2×#13063317C2211yescharacteristic
28C2×#13063316—21no—
29C2×#13063313C2211yescharacteristic
30C2×#13063311—21no—
31C2×#13063307—21no—
32C2×#13063304C2211yescharacteristic
33C2×#13063303—21no—
34C2×#13063302—21no—
35C2×#13063302—21no—
36C2×#13063299C2211yescharacteristic
37C2×C4×Dic86C2211yescharacteristic
38C2×C4×D172C2211yescharacteristic
39C2×#13063284C2211yescharacteristic
40C22×C4⋊Dic43C2211yescharacteristic
41#14583308C2218yescomplemented
42#14583304C2218yescomplemented
43#14583259C2218yescomplemented
44#14583254C2218yescomplemented
45#14583241C2218yescomplemented
46#14583235C2218yescomplemented
47#14583224C2218yes—
48#14583213C2218yes—
49#14583207C2218yescomplemented
50#14583200C2218yescomplemented
51#14583195C2218yescomplemented
52#14583180C2218yescomplemented
53C2×#13063259C2211yescharacteristic
54C2×#13063259C2211yescharacteristic
55C2×#13063259C2211yescharacteristic
56C2×#13063259C2211yescharacteristic
57C2×#13063259C2211yescharacteristic
58C2×#13063259C2211yescharacteristic
59C2×#13063257C2211yescharacteristic
60C2×#13063257C2211yescharacteristic
61C2×#13063250C2211yescharacteristic
62C2×#13063250C2211yescharacteristic
63C2×#13063250C2211yescharacteristic
64C2×#13063250C2211yescharacteristic
65C2×#13063247C2211yescharacteristic
66C2×#13063247C2211yescharacteristic
67C2×#13063247C2211yescharacteristic
68C2×#13063247C2211yescharacteristic
69C2×#117×C43C2211yescharacteristic
70C43×#433C2218yescomplemented
71C2×C4⋊C8×C43C2211yescharacteristic
72C2×C4⋊C8×C43C2211yescharacteristic
73C2×C22⋊C8×C43C2211yescharacteristic
74C2×C22⋊C8×C43C2211yescharacteristic
75C2×#97×C43C2211yescharacteristic
76C2×C4×C8×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86—21no—
80C22×Dic86C2311yescharacteristic
81C22×D172C2311yescharacteristic
82C22×C22⋊D43—21no—
83C23×Dic43—21no—
84C22×C4×D43—21no—
85#13063325—22no—
86#13063325—22no—
87#13063325—22no—
88#13063325C2314yes—
89#13063325C2314yes—
90#13063325C2314yes—
91#13063324—28no—
92#13063320—28no—
93#13063317—22no—
94#13063317—22no—
95#13063317C2314yes—
96#13063317C2314yes—
97#13063316—28no—
98#13063313—22no—
99#13063313C2314yes—
100#13063311—28no—
101#13063307—28no—
102#13063304—22no—
103#13063304C2314yes—
104#13063303—28no—
105#13063302—28no—
106#13063302—28no—
107#13063299—22no—
108#13063299C2314yes—
109C4×Dic86—22no—
110C4×Dic86C2314yes—
111C4×D172—22no—
112C4×D172C2314yes—
113#13063284—22no—
114#13063284C2314yes—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—22no—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43—21no—
119C2×C4⋊Dic43—21no—
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×C4⋊Dic43C2314yes—
123C2×C4⋊Dic43C2311yescharacteristic
124C2×C4⋊Dic43C2311yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×C4⋊Dic43C2311yescharacteristic
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×Dic43⋊C4—21no—
132C2×Dic43⋊C4—21no—
133C2×C22⋊Dic43—21no—
134C2×C22⋊Dic43—21no—
135C2×(C2×D43)⋊C4—21no—
136C2×(C2×D43)⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×(C2×D43)⋊C4—21no—
139C2×C4×Dic43—21no—
140C2×C4×Dic43—21no—
141#13063259C2314yes—
142#13063259C2314yes—
143#13063259C2314yes—
144#13063259C2314yes—
145#13063259C2314yes—
146#13063259C2314yes—
147#13063257C2314yes—
148#13063257C2314yes—
149#13063250C2314yes—
150#13063250C2314yes—
151#13063250C2314yes—
152#13063250C2314yes—
153#13063247C2314yes—
154#13063247C2314yes—
155#13063247C2314yes—
156#13063247C2314yes—
157C23×C4×C43C2311yescharacteristic
158C22×C8×C43C2311yescharacteristic
159C22×C8×C43C2311yescharacteristic
160C22×C8×C43C2311yescharacteristic
161C22×C8×C43C2311yescharacteristic
162#117×C43D414yes—
163#117×C43C2314yes—
164C2×C4⋊C4×C43D411yescharacteristic
165C2×C4⋊C4×C43D411yescharacteristic
166C2×C22⋊C4×C43D411yescharacteristic
167C2×C22⋊C4×C43D411yescharacteristic
168C2×C42×C43C2311yescharacteristic
169C2×C42×C43C2311yescharacteristic
170C4⋊C8×C43C2314yes—
171C4⋊C8×C43C2314yes—
172C22⋊C8×C43C2314yes—
173C22⋊C8×C43C2314yes—
174#97×C43C2314yes—
175C4×C8×C43C2314yes—
176C24×C43C2×D411yescharacteristic
177C23×D43—21no—
178C22×C4×C43—22no—
179C22×C4×C43—22no—
180C22×C4×C43C2×D411yescharacteristic
181C22×C4×C43C2×D411yescharacteristic
182C22×C4×C43C2×D411yescharacteristic
183C22×C4×C43C2×D411yescharacteristic
184C22×C4×C43C2×D411yescharacteristic
185C22×C4×C43C2×D412yes—
186C22×C4×C43C2412yes—
187C22×C4×C43C2411yescharacteristic
188C2×C22⋊D43—24no—
189C2×C22⋊D43—82no—
190C22×Dic43—21no—
191C22×Dic43—21no—
192C22×Dic43—21no—
193C22×Dic43—21no—
194C22×Dic43—21no—
195C22×Dic43—21no—
196C22×Dic43—21no—
197C22×Dic43—24no—
198C22×Dic43—82no—
199C2×D172—21no—
200C2×D172—22no—
201C2×D172—22no—
202C2×D172C2412yes—
203C2×C4×D43—24no—
204C2×C4×D43—82no—
205C2×Dic86—22no—
206C2×Dic86—22no—
207C2×Dic86—21no—
208C2×Dic86—24no—
209C2×Dic86—24no—
210C2×Dic86—24no—
211C2×Dic86—82no—
212C2×Dic86—82no—
213C2×Dic86—82no—
214C2×Dic86C2412yes—
215C2×C8×C43—22no—
216C2×C8×C43—22no—
217C2×C8×C43—22no—
218C2×C8×C43—22no—
219C2×C8×C43C2412yes—
220C2×C8×C43C2412yes—
221C2×C8×C43C2412yes—
222C2×C8×C43C2412yes—
223C4⋊C4×C43C2×D414yes—
224C4⋊C4×C43C2×D414yes—
225C22⋊C4×C43C2×D414yes—
226C22⋊C4×C43C2×D414yes—
227C42×C43C2×D412yes—
228C42×C43C2×D412yes—
229C42×C43C2412yes—
230C42×C43C2412yes—
231C22⋊Dic43—24no—
232C22⋊Dic43—24no—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—24no—
235(C2×D43)⋊C4—24no—
236(C2×D43)⋊C4—24no—
237C4⋊Dic43—24no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43—24no—
241C4⋊Dic43—24no—
242C4⋊Dic43—24no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43—21no—
246C4⋊Dic43—21no—
247C4⋊Dic43C2412yes—
248C4⋊Dic43C2412yes—
249C4⋊Dic43C2412yes—
250C4⋊Dic43C2412yes—
251C4⋊Dic43C2412yes—
252C4⋊Dic43C2412yes—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4—24no—
256Dic43⋊C4—24no—
257Dic43⋊C4—24no—
258Dic43⋊C4—24no—
259C4×Dic43—24no—
260C4×Dic43—24no—
261C23×C43—22no—
262C23×C43—22no—
263C23×C43—22no—
264C23×C43C22×D412yes—
265C23×C43C22×D411yescharacteristic
266C22×D43—22no—
267C22×D43—42no—
268C22×D43—42no—
269C22×D43—42no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—24no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43C22×D412yes—
279C2×C4×C43C22×D412yes—
280C2×C4×C43C22×D412yes—
281C2×C4×C43C22×D412yes—
282C2×C4×C43C22×D412yes—
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C432−1+412yes—
285C2×C4×C432−1+412yes—
286C2×C4×C43C2511yescharacteristic
287C22⋊D43—84no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—84no—
303D172—22no—
304D172—22no—
305D172—42no—
306C4×D43—84no—
307Dic86—22no—
308Dic86—22no—
309Dic86—42no—
310Dic86—84no—
311Dic86—84no—
312Dic86—84no—
313C8×C43—22no—
314C8×C43—22no—
315C8×C43—22no—
316C8×C43—22no—
317C2×#3243—431nomaximal, Sylow
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—44no—
322C22×C43#53612yes—
323C22×C43#57612yes—
324C22×C43#57812yes—
325C22×C43C23×D411yescharacteristic
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—84no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43#53612yes—
336C4×C43C2×2−1+411yescharacteristic
337C4×C43C2×2−1+411yescharacteristic
338Dic43—42no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345C2×#544—431no—
346C2×#542—431no—
347#3243—4316no—
348C2×#501—431no—
349C2×#500—431no—
350C2×#489—431no—
351C2×#488—431no—
352C2×#484—431no—
353C2×#485—431no—
354C2×#482—431no—
355C2×#480—431no—
356C2×#479—431no—
357C2×#477—431no—
358C2×#478—431no—
359C2×#474—431no—
360C2×#433D4311yescharacteristic, complemented
361C2×C43—42no—
362C2×C43#324314yescomplemented
363C2×C43C2×#53611yescharacteristic
364C2×C43C2×#57611yescharacteristic
365C2×C43C2×#57811yescharacteristic
366D43—82no—
367#544—438no—
368#544—864no—
369#542—438no—
370#542—864no—
371C2×C4⋊Q8—431no—
372C2×C4⋊Q8—431no—
373C2×C4⋊Q8—431no—
374C2×C4⋊Q8—861no—
375C2×#126—861no—
376C2×#125—431no—
377C2×#125—431no—
378C2×#125—861no—
379C2×#124—431no—
380C2×#124—861no—
381C2×#123—861no—
382C2×C22⋊Q8—431no—
383C2×C22⋊Q8—861no—
384C2×C22⋊Q8—861no—
385C2×C22⋊Q8—861no—
386C2×#121—431no—
387C2×C4×Q8—431no—
388C2×C4×D4—431no—
389C2×#117—431no—
390C2×#117C2×D4311yescharacteristic
391C22×C4⋊C4—431no—
392#501—438no—
393#500—438no—
394#489—438no—
395#488—438no—
396#485—438no—
397#484—438no—
398#482—438no—
399#480—438no—
400#479—438no—
401#478—438no—
402#477—438no—
403#474—438no—
404#433C2×D4318yescomplemented
405C2×#107—431no—
406C2×#107—431no—
407C2×#107—431no—
408C2×#107—431no—
409C2×#107—431no—
410C2×#107—431no—
411C2×#106—431no—
412C2×#106—431no—
413C2×C4⋊C8C2×D4311yescharacteristic
414C2×C4⋊C8C2×D4311yescharacteristic
415C2×#103—431no—
416C2×#103—431no—
417C2×#103—431no—
418C2×#103—431no—
419C2×#102—431no—
420C2×#102—431no—
421C2×#102—431no—
422C2×#102—431no—
423C2×C22⋊C8C2×D4311yescharacteristic
424C2×C22⋊C8C2×D4311yescharacteristic
425C2×#97C2×D4311yescharacteristic
426C2×C4×C8C2×D4311yescharacteristic
427C43C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—431no—
429C22×Q8—861no—
430C22×Q8—861no—
431C22×Q8—861no—
432C22×D4—431no—
433C22×D4—861no—
434C23×C4—861no—
435C23×C4—861no—
436C23×C4C22×D4311yescharacteristic
437C22×C8C22×D4311yescharacteristic
438C22×C8C22×D4311yescharacteristic
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441C4⋊Q8—434no—
442C4⋊Q8—434no—
443C4⋊Q8—434no—
444C4⋊Q8—868no—
445C4⋊Q8—862no—
446C4⋊Q8—862no—
447C4⋊Q8—862no—
448#126—868no—
449#125—434no—
450#125—434no—
451#125—868no—
452#125—862no—
453#125—862no—
454#124—434no—
455#124—868no—
456#124—862no—
457#123—868no—
458C22⋊Q8—434no—
459C22⋊Q8—862no—
460C22⋊Q8—868no—
461C22⋊Q8—868no—
462C22⋊Q8—868no—
463#121—434no—
464#121—862no—
465C4×Q8—434no—
466C4×Q8—862no—
467C4×D4—434no—
468C4×D4—862no—
469#117—434no—
470#117—862no—
471#117D17214yes—
472#117C22×D4314yes—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—434no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—862no—
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⋊C4—861no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4D17211yescharacteristic
492C2×C4⋊C4D17211yescharacteristic
493C2×C22⋊C4—861no—
494C2×C22⋊C4—861no—
495C2×C22⋊C4—861no—
496C2×C22⋊C4—861no—
497C2×C22⋊C4—861no—
498C2×C22⋊C4—861no—
499C2×C22⋊C4D17211yescharacteristic
500C2×C22⋊C4D17211yescharacteristic
501C2×C42—861no—
502C2×C42—861no—
503C2×C42C22×D4311yescharacteristic
504C2×C42C22×D4311yescharacteristic
505#107—434no—
506#107—434no—
507#107—434no—
508#107—434no—
509#107—434no—
510#107—434no—
511#106—434no—
512#106—434no—
513C4⋊C8C22×D4314yes—
514C4⋊C8C22×D4314yes—
515#103—434no—
516#103—434no—
517#103—434no—
518#103—434no—
519#102—434no—
520#102—434no—
521#102—434no—
522#102—434no—
523C22⋊C8C22×D4314yes—
524C22⋊C8C22×D4314yes—
525#97C22×D4314yes—
526C4×C8C22×D4314yes—
527C24—861no—
528C24C2×D17211yescharacteristic
529C2×Q8—432no—
530C2×Q8—864no—
531C2×Q8—864no—
532C2×Q8—864no—
533C2×Q8—861no—
534C2×Q8—862no—
535C2×Q8—862no—
536C2×Q8—3442no—
537C2×Q8—3442no—
538C2×Q8—3442no—
539C2×D4—432no—
540C2×D4—864no—
541C2×D4—861no—
542C2×D4—862no—
543C2×D4—862no—
544C2×D4—3442no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—864no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—864no—
556C22×C4—3442no—
557C22×C4—3442no—
558C22×C4C2×D17212yes—
559C22×C4C2×D17211yescharacteristic
560C22×C4C2×D17211yescharacteristic
561C22×C4C2×D17211yescharacteristic
562C22×C4C2×D17211yescharacteristic
563C22×C4C2×D17211yescharacteristic
564C22×C4C23×D4312yes—
565C22×C4C23×D4311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D4312yes—
571C2×C8C23×D4312yes—
572C2×C8C23×D4312yes—
573C2×C8C23×D4312yes—
574C4⋊C4—432no—
575C4⋊C4—432no—
576C4⋊C4—432no—
577C4⋊C4—432no—
578C4⋊C4—432no—
579C4⋊C4—432no—
580C4⋊C4—864no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—864no—
592C4⋊C4—864no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4C2×D17214yes—
597C4⋊C4C2×D17214yes—
598C22⋊C4—864no—
599C22⋊C4—864no—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4C2×D17214yes—
605C22⋊C4C2×D17214yes—
606C42—864no—
607C42—864no—
608C42C2×D17212yes—
609C42C2×D17212yes—
610C42C23×D4312yes—
611C42C23×D4312yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—862no—
616C23—1722no—
617C23—1722no—
618C23—1722no—
619C23C22×D17212yes—
620C23C22×D17211yescharacteristic
621Q8—862no—
622Q8—862no—
623Q8—3444no—
624Q8—3444no—
625Q8—3444no—
626Q8—1722no—
627D4—862no—
628D4—862no—
629D4—3444no—
630D4—1722no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—3444no—
647C2×C4—3444no—
648C2×C4—1722no—
649C2×C4—1722no—
650C2×C4—1722no—
651C2×C4—1722no—
652C2×C4—1722no—
653C2×C4—1722no—
654C2×C4—1722no—
655C2×C4C22×D17212yes—
656C2×C4C22×D17212yes—
657C2×C4C22×D17212yes—
658C2×C4C22×D17212yes—
659C2×C4C22×D17212yes—
660C2×C4C22×D17211yescharacteristic
661C2×C4#1306337212yes—
662C2×C4#1306337212yes—
663C2×C4C24×D4311yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—3444no—
673C22—1722no—
674C22—1722no—
675C22—1722no—
676C22#1458347512yes—
677C22#1458370412yes—
678C22#1458371612yes—
679C22C23×D17211yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—1722no—
686C4—1722no—
687C4—1722no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4#1458347512yes—
693C4C2×#1306337211yescharacteristic
694C4C2×#1306337211yescharacteristic
695C2—42no—
696C2—3442no—
697C2#1914588014yesdirect product factor
698C2C2×#1458347511yescharacteristic
699C2C2×#1458370411yescharacteristic
700C2C2×#1458371611yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#433C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenterC2×#433D43
hypocenterC43C2×#3243
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#14583527C2semidirect
3. #19145880C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583304C2semidirect
6. C2×#14583259C2semidirect
7. C2×#14583254C2semidirect
8. C2×#14583235C2semidirect
9. C2×#14583241C2semidirect
12. C2×#14583207C2semidirect
13. C2×#14583195C2semidirect
14. C2×#14583200C2semidirect
15. C2×#14583180C2semidirect
16. C2×C43×#433C2semidirect
18. #14583527C22semidirect
41. #14583308C22semidirect
42. #14583304C22semidirect
43. #14583259C22semidirect
44. #14583254C22semidirect
45. #14583241C22semidirect
46. #14583235C22semidirect
49. #14583207C22semidirect
50. #14583200C22semidirect
51. #14583195C22semidirect
52. #14583180C22semidirect
70. C43×#433C22semidirect
360. C2×#433D43semidirect
362. C2×C43#3243semidirect
404. #433C2×D43semidirect
427. C43C2×#3243semidirect
697. C2#19145880direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835272
C2×#145835202
#191458802
C2×#145833082
C2×#145833042
C2×#145832592
C2×#145832542
C2×#145832352
C2×#145832412
C2×#145832242
C2×#145832132
C2×#145832072
C2×#145831952
C2×#145832002
C2×#145831802
C2×C43×#4332
C2×#324343