Finite Group Databasebeta

← C2×#14540039 #17906515

Subgroups — C2×#14540039 #17906515

Order 4352.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763437C211yesmaximal, characteristic, complemented
2C2×#11763414C211yesmaximal, characteristic
3#14540039C2116yesmaximal, direct product factor
4C2×#11763218C211yesmaximal, characteristic, complemented
5C2×#11763211C211yesmaximal, characteristic, complemented
6C2×#11763174C211yesmaximal, characteristic, complemented
7C2×#11763156C211yesmaximal, characteristic, complemented
8C2×#11763128C211yesmaximal, characteristic, complemented
9C2×#11763134C211yesmaximal, characteristic, complemented
10C2×#11763134C211yesmaximal, characteristic, complemented
11C2×#11763123C211yesmaximal, characteristic, complemented
12C2×#11763110C211yesmaximal, characteristic, complemented
13C2×#11763110C211yesmaximal, characteristic, complemented
14C2×#11763100C211yesmaximal, characteristic, complemented
15C2×#11763090C211yesmaximal, characteristic, complemented
16C2×C17×#433C211yesmaximal, characteristic, complemented
17#11763437—24no—
18#11763437C2218yescomplemented
19#11763414—24no—
20#11763414C2218yes—
21C2×#10587555C2211yescharacteristic
22C2×#10587555C2211yescharacteristic
23C2×#10587574—21no—
24C2×#10587560C2211yescharacteristic
25C2×#10587556C2211yescharacteristic
26C2×#10587556C2211yescharacteristic
27C2×#10587556C2211yescharacteristic
28C2×#10587576—21no—
29C2×#10587580—21no—
30C2×#10587580—21no—
31C2×#10587564—21no—
32C2×#10587564—21no—
33C2×#10587616C2211yescharacteristic
34C2×#10587616C2211yescharacteristic
35C2×#10587570—21no—
36C2×#10587570—21no—
37C2×C4×D68C2211yescharacteristic
38C2×C4×D68C2211yescharacteristic
39C2×#10587612C2211yescharacteristic
40C22×C4⋊Dic17C2211yescharacteristic
41#11763218C2218yescomplemented
42#11763211C2218yescomplemented
43#11763174C2218yescomplemented
44#11763156C2218yescomplemented
45#11763134C2218yescomplemented
46#11763134C2218yescomplemented
47#11763128C2218yescomplemented
48#11763123C2218yescomplemented
49#11763110C2218yescomplemented
50#11763110C2218yescomplemented
51#11763100C2218yescomplemented
52#11763090C2218yescomplemented
53C2×#10587489C2211yescharacteristic
54C2×#10587489C2211yescharacteristic
55C2×#10587489C2211yescharacteristic
56C2×#10587489C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587488C2211yescharacteristic
59C2×#10587488C2211yescharacteristic
60C2×#10587488C2211yescharacteristic
61C2×#10587492C2211yescharacteristic
62C2×#10587492C2211yescharacteristic
63C2×#10587492C2211yescharacteristic
64C2×#10587492C2211yescharacteristic
65C2×#10587492C2211yescharacteristic
66C2×#10587492C2211yescharacteristic
67C2×#10587492C2211yescharacteristic
68C2×#10587492C2211yescharacteristic
69C2×C17×#117C2211yescharacteristic
70C17×#433C2218yescomplemented
71C2×C17×C4⋊C8C2211yescharacteristic
72C2×C17×C4⋊C8C2211yescharacteristic
73C2×C17×C22⋊C8C2211yescharacteristic
74C2×C17×C22⋊C8C2211yescharacteristic
75C2×C17×#97C2211yescharacteristic
76C2×C4×C8×C17C2211yescharacteristic
77C23×C4×C17C2311yescharacteristic
78C22×C22⋊D17—21no—
79C22×C22⋊D17—21no—
80C23×Dic17—21no—
81C22×D68—21no—
82C22×D68—21no—
83C22×D68C2311yescharacteristic
84C22×D68C2311yescharacteristic
85C22×C4×D17—21no—
86C22×C4×D17—21no—
87C22×Dic34—21no—
88C22×Dic34—21no—
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C22×C8×C17C2311yescharacteristic
92C22×C8×C17C2311yescharacteristic
93C17×#117D414yes—
94C17×#117C2314yes—
95C2×C4⋊C4×C17D411yescharacteristic
96C2×C4⋊C4×C17D411yescharacteristic
97C2×C22⋊C4×C17D411yescharacteristic
98C2×C22⋊C4×C17D411yescharacteristic
99C2×C42×C17C2311yescharacteristic
100C2×C42×C17C2311yescharacteristic
101C2×C22⋊Dic17—21no—
102#10587616—22no—
103#10587616—22no—
104#10587616C2314yes—
105#10587616C2314yes—
106C2×#63227—21no—
107C2×#63227—21no—
108C2×#63227—21no—
109C2×#63227—21no—
110#10587612—22no—
111#10587612C2314yes—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17—22no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17—21no—
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2314yes—
119C2×C4⋊Dic17C2311yescharacteristic
120C2×C4⋊Dic17C2311yescharacteristic
121C2×C4⋊Dic17C2311yescharacteristic
122C2×C4⋊Dic17C2311yescharacteristic
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225—21no—
128C2×#63225—21no—
129C2×C4×Dic17—21no—
130#10587580—28no—
131#10587580—28no—
132#10587576—28no—
133#10587574—28no—
134#10587570—28no—
135#10587570—28no—
136#10587564—28no—
137#10587564—28no—
138#10587560—22no—
139#10587560C2314yes—
140C4×D68—22no—
141C4×D68—22no—
142C4×D68C2314yes—
143C4×D68C2314yes—
144#10587556—22no—
145#10587556—22no—
146#10587556—22no—
147#10587556C2314yes—
148#10587556C2314yes—
149#10587556C2314yes—
150#10587555—22no—
151#10587555—22no—
152#10587555C2314yes—
153#10587555C2314yes—
154C17×C4⋊C8C2314yes—
155C17×C4⋊C8C2314yes—
156C17×C22⋊C8C2314yes—
157C17×C22⋊C8C2314yes—
158C17×#97C2314yes—
159C4×C8×C17C2314yes—
160#10587492C2314yes—
161#10587492C2314yes—
162#10587492C2314yes—
163#10587492C2314yes—
164#10587492C2314yes—
165#10587492C2314yes—
166#10587492C2314yes—
167#10587492C2314yes—
168#10587489C2314yes—
169#10587489C2314yes—
170#10587489C2314yes—
171#10587489C2314yes—
172#10587488C2314yes—
173#10587488C2314yes—
174#10587488C2314yes—
175#10587488C2314yes—
176C24×C17C2×D411yescharacteristic
177C23×D17—21no—
178C23×D17—21no—
179C22×C4×C17—22no—
180C22×C4×C17—22no—
181C22×C4×C17C2×D411yescharacteristic
182C22×C4×C17C2×D411yescharacteristic
183C22×C4×C17C2×D411yescharacteristic
184C22×C4×C17C2×D411yescharacteristic
185C22×C4×C17C2×D411yescharacteristic
186C22×C4×C17C2×D412yes—
187C22×C4×C17C2412yes—
188C22×C4×C17C2411yescharacteristic
189C2×C22⋊D17—24no—
190C2×C22⋊D17—24no—
191C2×C22⋊D17—82no—
192C2×C22⋊D17—82no—
193C22×Dic17—21no—
194C22×Dic17—21no—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17—21no—
199C22×Dic17—24no—
200C22×Dic17—82no—
201C2×D68—22no—
202C2×D68—22no—
203C2×D68—22no—
204C2×D68—22no—
205C2×D68—21no—
206C2×D68—21no—
207C2×D68—24no—
208C2×D68—24no—
209C2×D68—82no—
210C2×D68—82no—
211C2×D68C2412yes—
212C2×D68C2412yes—
213C2×C4×D17—24no—
214C2×C4×D17—24no—
215C2×C4×D17—82no—
216C2×C4×D17—82no—
217C2×Dic34—24no—
218C2×Dic34—24no—
219C2×Dic34—82no—
220C2×Dic34—82no—
221C2×C8×C17—22no—
222C2×C8×C17—22no—
223C2×C8×C17—22no—
224C2×C8×C17—22no—
225C2×C8×C17C2412yes—
226C2×C8×C17C2412yes—
227C2×C8×C17C2412yes—
228C2×C8×C17C2412yes—
229C4⋊C4×C17C2×D414yes—
230C4⋊C4×C17C2×D414yes—
231C22⋊C4×C17C2×D414yes—
232C22⋊C4×C17C2×D414yes—
233C42×C17C2×D412yes—
234C42×C17C2×D412yes—
235C42×C17C2412yes—
236C42×C17C2412yes—
237C22⋊Dic17—24no—
238#63227—24no—
239#63227—24no—
240#63227—24no—
241#63227—24no—
242C4⋊Dic17—21no—
243C4⋊Dic17—21no—
244C4⋊Dic17—21no—
245C4⋊Dic17—24no—
246C4⋊Dic17—24no—
247C4⋊Dic17—21no—
248C4⋊Dic17—21no—
249C4⋊Dic17—21no—
250C4⋊Dic17—24no—
251C4⋊Dic17C2412yes—
252C4⋊Dic17C2412yes—
253C4⋊Dic17C2412yes—
254C4⋊Dic17C2412yes—
255C4⋊Dic17C2412yes—
256C4⋊Dic17C2412yes—
257#63225—24no—
258#63225—24no—
259#63225—24no—
260#63225—24no—
261#63225—24no—
262#63225—24no—
263C4×Dic17—24no—
264C2×#3241—171nomaximal, Sylow
265C23×C17—22no—
266C23×C17—22no—
267C23×C17—22no—
268C23×C17C22×D412yes—
269C23×C17C22×D411yescharacteristic
270C22×D17—22no—
271C22×D17—22no—
272C22×D17—42no—
273C22×D17—42no—
274C22×D17—42no—
275C22×D17—42no—
276C22×D17—42no—
277C22×D17—42no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—22no—
283C2×C4×C17—24no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17C22×D412yes—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D412yes—
289C2×C4×C17C22×D412yes—
290C2×C4×C17C22×D412yes—
291C2×C4×C17C22×D411yescharacteristic
292C2×C4×C172−1+412yes—
293C2×C4×C172−1+412yes—
294C2×C4×C17C2511yescharacteristic
295C22⋊D17—84no—
296C22⋊D17—84no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—22no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17—42no—
307C2×Dic17—42no—
308C2×Dic17—42no—
309C2×Dic17—84no—
310D68—22no—
311D68—22no—
312D68—22no—
313D68—22no—
314D68—42no—
315D68—42no—
316D68—84no—
317D68—84no—
318C4×D17—84no—
319C4×D17—84no—
320Dic34—84no—
321Dic34—84no—
322C8×C17—22no—
323C8×C17—22no—
324C8×C17—22no—
325C8×C17—22no—
326C2×#544—171no—
327C2×#540—171no—
328#3241—1716no—
329C2×#501—171no—
330C2×#499—171no—
331C2×#490—171no—
332C2×#486—171no—
333C2×#481—171no—
334C2×#482—171no—
335C2×#482—171no—
336C2×#480—171no—
337C2×#478—171no—
338C2×#478—171no—
339C2×#476—171no—
340C2×#474—171no—
341C2×#433D1711yescharacteristic, complemented
342C22×C17—22no—
343C22×C17—22no—
344C22×C17—22no—
345C22×C17—44no—
346C22×C17#53612yes—
347C22×C17#57612yes—
348C22×C17#57712yes—
349C22×C17C23×D411yescharacteristic
350C2×D17—42no—
351C2×D17—42no—
352C2×D17—42no—
353C2×D17—42no—
354C2×D17—42no—
355C2×D17—42no—
356C2×D17—84no—
357C2×D17—84no—
358C4×C17—22no—
359C4×C17—22no—
360C4×C17—22no—
361C4×C17—22no—
362C4×C17—22no—
363C4×C17#53612yes—
364C4×C17C2×2−1+411yescharacteristic
365C4×C17C2×2−1+411yescharacteristic
366Dic17—42no—
367Dic17—42no—
368Dic17—42no—
369Dic17—42no—
370Dic17—42no—
371Dic17—42no—
372#544—178no—
373#544—344no—
374#540—178no—
375#540—344no—
376C2×C4⋊Q8—171no—
377C2×C4⋊Q8—171no—
378C2×C4⋊Q8—341no—
379C2×#127—171no—
380C2×#125—171no—
381C2×#125—171no—
382C2×#125—171no—
383C2×#125—341no—
384C2×#123—341no—
385C2×#123—341no—
386C2×C22⋊Q8—341no—
387C2×C22⋊Q8—341no—
388C2×#121—171no—
389C2×#121—171no—
390C2×#121—341no—
391C2×#121—341no—
392C2×C4×D4—171no—
393C2×C4×D4—171no—
394C2×#117—171no—
395C2×#117C2×D1711yescharacteristic
396C22×C4⋊C4—171no—
397#501—178no—
398#499—178no—
399#490—178no—
400#486—178no—
401#482—178no—
402#482—178no—
403#481—178no—
404#480—178no—
405#478—178no—
406#478—178no—
407#476—178no—
408#474—178no—
409#433C2×D1718yescomplemented
410C2×#107—171no—
411C2×#107—171no—
412C2×#107—171no—
413C2×#107—171no—
414C2×#106—171no—
415C2×#106—171no—
416C2×#106—171no—
417C2×#106—171no—
418C2×C4⋊C8C2×D1711yescharacteristic
419C2×C4⋊C8C2×D1711yescharacteristic
420C2×#102—171no—
421C2×#102—171no—
422C2×#102—171no—
423C2×#102—171no—
424C2×#102—171no—
425C2×#102—171no—
426C2×#102—171no—
427C2×#102—171no—
428C2×C22⋊C8C2×D1711yescharacteristic
429C2×C22⋊C8C2×D1711yescharacteristic
430C2×#97C2×D1711yescharacteristic
431C2×C4×C8C2×D1711yescharacteristic
432C2×C17—42no—
433C2×C17#324114yescomplemented
434C2×C17C2×#53611yescharacteristic
435C2×C17C2×#57611yescharacteristic
436C2×C17C2×#57711yescharacteristic
437D17—82no—
438D17—82no—
439C22×Q8—341no—
440C22×Q8—341no—
441C22×D4—171no—
442C22×D4—171no—
443C22×D4—341no—
444C22×D4—341no—
445C22×D4—341no—
446C22×D4—341no—
447C23×C4—341no—
448C23×C4—341no—
449C23×C4—341no—
450C23×C4C22×D1711yescharacteristic
451C22×C8C22×D1711yescharacteristic
452C22×C8C22×D1711yescharacteristic
453C22×C8C22×D1711yescharacteristic
454C22×C8C22×D1711yescharacteristic
455C4⋊Q8—174no—
456C4⋊Q8—174no—
457C4⋊Q8—348no—
458C4⋊Q8—342no—
459C4⋊Q8—342no—
460#127—174no—
461#127—342no—
462#125—174no—
463#125—174no—
464#125—174no—
465#125—348no—
466#125—342no—
467#125—342no—
468#125—342no—
469#123—348no—
470#123—348no—
471C22⋊Q8—348no—
472C22⋊Q8—348no—
473#121—174no—
474#121—174no—
475#121—342no—
476#121—342no—
477#121—348no—
478#121—348no—
479C4×D4—174no—
480C4×D4—174no—
481C4×D4—342no—
482C4×D4—342no—
483#117—174no—
484#117—342no—
485#117D6814yes—
486#117C22×D1714yes—
487C2×C4⋊C4—171no—
488C2×C4⋊C4—171no—
489C2×C4⋊C4—174no—
490C2×C4⋊C4—171no—
491C2×C4⋊C4—171no—
492C2×C4⋊C4—171no—
493C2×C4⋊C4—171no—
494C2×C4⋊C4—341no—
495C2×C4⋊C4—342no—
496C2×C4⋊C4—341no—
497C2×C4⋊C4—341no—
498C2×C4⋊C4—341no—
499C2×C4⋊C4—341no—
500C2×C4⋊C4—341no—
501C2×C4⋊C4—341no—
502C2×C4⋊C4—341no—
503C2×C4⋊C4—341no—
504C2×C4⋊C4D6811yescharacteristic
505C2×C4⋊C4D6811yescharacteristic
506C2×C22⋊C4—341no—
507C2×C22⋊C4—341no—
508C2×C22⋊C4—341no—
509C2×C22⋊C4—341no—
510C2×C22⋊C4—341no—
511C2×C22⋊C4D6811yescharacteristic
512C2×C22⋊C4D6811yescharacteristic
513C2×C42—341no—
514C2×C42C22×D1711yescharacteristic
515C2×C42C22×D1711yescharacteristic
516#107—174no—
517#107—174no—
518#107—174no—
519#107—174no—
520#106—174no—
521#106—174no—
522#106—174no—
523#106—174no—
524C4⋊C8C22×D1714yes—
525C4⋊C8C22×D1714yes—
526#102—174no—
527#102—174no—
528#102—174no—
529#102—174no—
530#102—174no—
531#102—174no—
532#102—174no—
533#102—174no—
534C22⋊C8C22×D1714yes—
535C22⋊C8C22×D1714yes—
536#97C22×D1714yes—
537C4×C8C22×D1714yes—
538C17C2×#324111yescharacteristic, complemented, Sylow
539C24—341no—
540C24—341no—
541C24C2×D6811yescharacteristic
542C2×Q8—344no—
543C2×Q8—344no—
544C2×Q8—1362no—
545C2×Q8—1362no—
546C2×D4—172no—
547C2×D4—172no—
548C2×D4—344no—
549C2×D4—344no—
550C2×D4—341no—
551C2×D4—341no—
552C2×D4—344no—
553C2×D4—344no—
554C2×D4—342no—
555C2×D4—342no—
556C2×D4—342no—
557C2×D4—342no—
558C2×D4—1362no—
559C2×D4—1362no—
560C2×D4—1362no—
561C2×D4—1362no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—341no—
565C22×C4—341no—
566C22×C4—341no—
567C22×C4—341no—
568C22×C4—341no—
569C22×C4—341no—
570C22×C4—344no—
571C22×C4—344no—
572C22×C4—344no—
573C22×C4—1362no—
574C22×C4—1362no—
575C22×C4—1362no—
576C22×C4C2×D6812yes—
577C22×C4C2×D6811yescharacteristic
578C22×C4C2×D6811yescharacteristic
579C22×C4C2×D6811yescharacteristic
580C22×C4C2×D6811yescharacteristic
581C22×C4C2×D6811yescharacteristic
582C22×C4C23×D1712yes—
583C22×C4C23×D1711yescharacteristic
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8C23×D1712yes—
589C2×C8C23×D1712yes—
590C2×C8C23×D1712yes—
591C2×C8C23×D1712yes—
592C4⋊C4—172no—
593C4⋊C4—172no—
594C4⋊C4—172no—
595C4⋊C4—172no—
596C4⋊C4—172no—
597C4⋊C4—172no—
598C4⋊C4—344no—
599C4⋊C4—341no—
600C4⋊C4—341no—
601C4⋊C4—341no—
602C4⋊C4—341no—
603C4⋊C4—341no—
604C4⋊C4—341no—
605C4⋊C4—344no—
606C4⋊C4—344no—
607C4⋊C4—344no—
608C4⋊C4—344no—
609C4⋊C4—344no—
610C4⋊C4—344no—
611C4⋊C4—344no—
612C4⋊C4—344no—
613C4⋊C4C2×D6814yes—
614C4⋊C4C2×D6814yes—
615C22⋊C4—344no—
616C22⋊C4—344no—
617C22⋊C4—344no—
618C22⋊C4—344no—
619C22⋊C4—344no—
620C22⋊C4C2×D6814yes—
621C22⋊C4C2×D6814yes—
622C42—344no—
623C42C2×D6812yes—
624C42C2×D6812yes—
625C42C23×D1712yes—
626C42C23×D1712yes—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—342no—
631C23—342no—
632C23—682no—
633C23—682no—
634C23—682no—
635C23—682no—
636C23—682no—
637C23—682no—
638C23C22×D6812yes—
639C23C22×D6811yescharacteristic
640Q8—1364no—
641Q8—1364no—
642D4—342no—
643D4—342no—
644D4—342no—
645D4—342no—
646D4—682no—
647D4—682no—
648D4—1364no—
649D4—1364no—
650D4—1364no—
651D4—1364no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—342no—
661C2×C4—342no—
662C2×C4—342no—
663C2×C4—342no—
664C2×C4—342no—
665C2×C4—342no—
666C2×C4—682no—
667C2×C4—682no—
668C2×C4—682no—
669C2×C4—682no—
670C2×C4—682no—
671C2×C4—682no—
672C2×C4—1364no—
673C2×C4—1364no—
674C2×C4—1364no—
675C2×C4C22×D6812yes—
676C2×C4C22×D6812yes—
677C2×C4C22×D6812yes—
678C2×C4C22×D6812yes—
679C2×C4C22×D6812yes—
680C2×C4C22×D6811yescharacteristic
681C2×C4#1058769712yes—
682C2×C4#1058769712yes—
683C2×C4C24×D1711yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—682no—
693C22—682no—
694C22—682no—
695C22—682no—
696C22—682no—
697C22—682no—
698C22—1364no—
699C22—1364no—
700C22#1176338512yes—
701C22#1176361412yes—
702C22#1176362112yes—
703C22C23×D6811yescharacteristic
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—22no—
709C4—682no—
710C4—682no—
711C4—682no—
712C4—682no—
713C4—682no—
714C4—682no—
715C4#1176338512yes—
716C4C2×#1058769711yescharacteristic
717C4C2×#1058769711yescharacteristic
718C2—42no—
719C2—1362no—
720C2—1362no—
721C2#1454003914yesdirect product factor
722C2C2×#1176338511yescharacteristic
723C2C2×#1176361411yescharacteristic
724C2C2×#1176362111yescharacteristic
subgroupG/H
centerC23C22×D68
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#433C2
socleC23×C17C22×D4
prime radicalC2×#11763414C2
hypercenterC2×#433D17
hypocenterC17C2×#3241
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#11763437C2semidirect
3. #14540039C2direct (N × H)
4. C2×#11763218C2semidirect
5. C2×#11763211C2semidirect
6. C2×#11763174C2semidirect
7. C2×#11763156C2semidirect
8. C2×#11763128C2semidirect
9. C2×#11763134C2semidirect
10. C2×#11763134C2semidirect
11. C2×#11763123C2semidirect
12. C2×#11763110C2semidirect
13. C2×#11763110C2semidirect
14. C2×#11763100C2semidirect
15. C2×#11763090C2semidirect
16. C2×C17×#433C2semidirect
18. #11763437C22semidirect
41. #11763218C22semidirect
42. #11763211C22semidirect
43. #11763174C22semidirect
44. #11763156C22semidirect
45. #11763134C22semidirect
46. #11763134C22semidirect
47. #11763128C22semidirect
48. #11763123C22semidirect
49. #11763110C22semidirect
50. #11763110C22semidirect
51. #11763100C22semidirect
52. #11763090C22semidirect
70. C17×#433C22semidirect
341. C2×#433D17semidirect
409. #433C2×D17semidirect
433. C2×C17#3241semidirect
538. C17C2×#3241semidirect
721. C2#14540039direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634372
C2×#117634142
#145400392
C2×#117632182
C2×#117632112
C2×#117631742
C2×#117631562
C2×#117631282
C2×#117631342
C2×#117631232
C2×#117631102
C2×#117631002
C2×#117630902
C2×C17×#4332
C2×#324117