Finite Group Databasebeta

← C2×#14542609 #17942802

Subgroups — C2×#14542609 #17942802

Order 4352.

6958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542609C2132yesmaximal, direct product factor
2C2×#11763538C211yesmaximal, characteristic, complemented
3C2×#11763535C211yesmaximal, characteristic, complemented
4C2×#11763535C211yesmaximal, characteristic, complemented
5C2×#11763520C213yesmaximal, complemented
6C2×#11763519C213yesmaximal, complemented
7C2×#11763515C213yesmaximal, complemented
8C2×#11763515C213yesmaximal, complemented
9C2×#11763439C213yesmaximal, complemented
10C2×#11763436C213yesmaximal, complemented
11C2×#11763363C213yesmaximal, complemented
12C2×#125×D17C213yesmaximal, complemented
13C2×#11763291C211yesmaximal, characteristic
14C2×#11763291C211yesmaximal, characteristic
15C2×C4×#63256C211yesmaximal, characteristic
16C2×C17×#557C211yesmaximal, characteristic, complemented
17C22×#63256C2211yescharacteristic
18#11763538C22116yescomplemented
19#11763535C22116yescomplemented
20#11763535C22116yescomplemented
21#11763520C22148yescomplemented
22#11763519C22148yescomplemented
23#11763515C22148yescomplemented
24#11763515C22148yescomplemented
25#11763439C22148yescomplemented
26#11763436C22148yescomplemented
27#11763363C22148yescomplemented
28C2×#10587555C2213yes—
29C2×#10587574C2213yes—
30C2×#10587574C2213yes—
31C2×#10587574C2213yes—
32C2×#10587630C2213yes—
33C2×#10587556C2213yes—
34C2×#10587556C2213yes—
35C2×#10587576C2213yes—
36C2×#10587576C2213yes—
37C2×#10587576C2213yes—
38C2×#10587576C2213yes—
39C2×#10587575C2216yes—
40C2×#10587575C2213yes—
41C2×#10587575C2211yescharacteristic
42#125×D17C22148yescomplemented
43C2×#10587583C2216yes—
44C2×#10587583C2213yes—
45C2×#10587582C2216yes—
46C2×#10587582C2216yes—
47C2×#10587582C2213yes—
48C2×#10587582C2213yes—
49C2×#10587632C2216yes—
50C2×#10587632C2213yes—
51#11763291C22116yes—
52#11763291C22116yes—
53C4×#63256C22116yes—
54C2×Q8×Dic17C2211yescharacteristic
55C2×Q8×Dic17C2211yescharacteristic
56C2×Q8×Dic17C2211yescharacteristic
57C2×C4×Dic34C2213yes—
58C2×C4×Dic34C2213yes—
59C2×C4×Dic34C2213yes—
60C2×C4×D68C2213yes—
61C2×C4×D68C2213yes—
62C2×C4×D68C2213yes—
63C2×#10587579C2213yes—
64C2×#10587579C2213yes—
65C2×#10587579C2213yes—
66C2×#10587578C2213yes—
67C2×#10587558C2213yes—
68C2×#10587558C2213yes—
69C2×C4⋊C4×D17C2213yes—
70C2×C4⋊C4×D17C2213yes—
71C2×C4⋊C4×D17C2216yes—
72C2×C4⋊C4×D17C2216yes—
73C2×C42×D17C2213yes—
74C17×#557C22116yescomplemented
75C2×C17×C4⋊Q8C2213yes—
76C2×C17×#125C2213yes—
77C2×C17×#125C2213yes—
78C2×C4×Q8×C17C2211yescharacteristic
79C2×C4×Q8×C17C2211yescharacteristic
80C2×C4×Q8×C17C2211yescharacteristic
81C2×C4×Q8×C17C2213yes—
82C22×Q8×C17C2313yes—
83C22×Q8×C17C2311yescharacteristic
84C2×#63256Q8116yescomplemented
85C2×#63256C2318yes—
86C22×D68C2313yes—
87C22×C4×D17C2313yes—
88C22×C4×D17C2313yes—
89C22×C4×D17C2316yes—
90C22×C4×D17C2316yes—
91C22×C4×D17C2313yes—
92C22×Dic34C2313yes—
93C22×Dic34C2313yes—
94C22×Dic34C2313yes—
95C17×C4⋊Q8C23124yes—
96C17×#125C23124yes—
97C17×#125C23124yes—
98C4×Q8×C17C23124yes—
99C4×Q8×C17C2318yes—
100C4×Q8×C17C2318yes—
101C4×Q8×C17C2318yes—
102C2×C4⋊C4×C17C2311yescharacteristic
103C2×C4⋊C4×C17C2313yes—
104C2×C4⋊C4×C17C2313yes—
105C2×C4⋊C4×C17C2313yes—
106C2×C4⋊C4×C17C2313yes—
107C2×C4⋊C4×C17C2313yes—
108C2×C4⋊C4×C17C2316yes—
109C2×C42×C17C2313yes—
110C2×C42×C17C2313yes—
111C2×C42×C17C2313yes—
112#10587632C23148yes—
113#10587632C23124yes—
114Q8×Dic17C2318yes—
115Q8×Dic17C2318yes—
116Q8×Dic17C2318yes—
117#10587630C23124yes—
118C2×#63227C2313yes—
119C2×#63227C2313yes—
120C2×#63227C2313yes—
121C2×#63227C2313yes—
122C2×#63227C2316yes—
123C2×C4⋊Dic17C2313yes—
124C2×C4⋊Dic17C2313yes—
125C2×C4⋊Dic17C2313yes—
126C2×C4⋊Dic17C2316yes—
127C2×C4⋊Dic17C2313yes—
128C2×C4⋊Dic17C2311yescharacteristic
129C2×C4⋊Dic17C2313yes—
130C2×#63225C2313yes—
131C2×#63225C2313yes—
132C2×#63225C2313yes—
133C2×#63225C2313yes—
134C2×#63225C2316yes—
135C2×#63225C2316yes—
136C2×#63225C2311yescharacteristic
137C2×#63225C2311yescharacteristic
138C2×#63225C2311yescharacteristic
139C2×#63225C2311yescharacteristic
140C2×#63225C2313yes—
141C2×#63225C2313yes—
142C2×C4×Dic17C2311yescharacteristic
143C2×C4×Dic17C2313yes—
144C2×C4×Dic17C2313yes—
145C2×C4×Dic17C2313yes—
146C2×C4×Dic17C2313yes—
147#10587583C23124yes—
148#10587583C23148yes—
149#10587582C23124yes—
150#10587582C23148yes—
151#10587582C23148yes—
152#10587582C23124yes—
153#10587579C23124yes—
154#10587579C23124yes—
155#10587579C23124yes—
156#10587578C23124yes—
157C4⋊C4×D17C23148yes—
158C4⋊C4×D17C23148yes—
159C4⋊C4×D17C23124yes—
160C4⋊C4×D17C23124yes—
161#10587576C23124yes—
162#10587576C23124yes—
163#10587576C23124yes—
164#10587576C23124yes—
165#10587575C23124yes—
166#10587575C23148yes—
167#10587575C2318yes—
168#10587574C23124yes—
169#10587574C23124yes—
170#10587574C23124yes—
171C4×D68C23124yes—
172C4×D68C23124yes—
173C4×D68C23124yes—
174#10587558C23124yes—
175#10587558C23124yes—
176C42×D17C23124yes—
177#10587556C23124yes—
178#10587556C23124yes—
179#10587555C23124yes—
180C4×Dic34C23124yes—
181C4×Dic34C23124yes—
182C4×Dic34C23124yes—
183C23×D17C2413yes—
184C2×Q8×C17—46no—
185C2×Q8×C17C2×Q818yes—
186C2×Q8×C17C24112yes—
187C2×Q8×C17C2414yes—
188C22×C4×C17C2411yescharacteristic
189C22×C4×C17C2413yes—
190C22×C4×C17C2413yes—
191C22×C4×C17C2411yescharacteristic
192C22×C4×C17C2413yes—
193C22×C4×C17C2411yescharacteristic
194C22×C4×C17C2413yes—
195C22×Dic17C2411yescharacteristic
196C22×Dic17C2411yescharacteristic
197C22×Dic17C2413yes—
198C22×Dic17C2413yes—
199C22×Dic17C2413yes—
200C22×Dic17C2411yescharacteristic
201C22×Dic17C2411yescharacteristic
202#63256C2×Q8164yescomplemented
203C2×D68C2×Q8124yes—
204C2×D68C24112yes—
205C2×C4×D17—46no—
206C2×C4×D17—412no—
207C2×C4×D17—412no—
208C2×C4×D17—46no—
209C2×C4×D17C2×Q8124yes—
210C2×C4×D17C24112yes—
211C2×C4×D17C24112yes—
212C2×C4×D17C24124yes—
213C2×C4×D17C24124yes—
214C2×C4×D17C24112yes—
215C2×Dic34—46no—
216C2×Dic34—46no—
217C2×Dic34—46no—
218C2×Dic34C24112yes—
219C2×Dic34C24112yes—
220C2×Dic34C24112yes—
221C4⋊C4×C17C24124yes—
222C4⋊C4×C17C24112yes—
223C4⋊C4×C17C24112yes—
224C4⋊C4×C17C24112yes—
225C4⋊C4×C17C24112yes—
226C4⋊C4×C17C24112yes—
227C4⋊C4×C17C2414yes—
228C42×C17C24112yes—
229C42×C17C24112yes—
230C42×C17C24112yes—
231#63227C24112yes—
232#63227C24112yes—
233#63227C24112yes—
234#63227C24112yes—
235#63227C24124yes—
236C4⋊Dic17C2414yes—
237C4⋊Dic17C24112yes—
238C4⋊Dic17C24112yes—
239C4⋊Dic17C24112yes—
240C4⋊Dic17C24112yes—
241C4⋊Dic17C24124yes—
242C4⋊Dic17C24112yes—
243#63225C2414yes—
244#63225C2414yes—
245#63225C24112yes—
246#63225C24112yes—
247#63225C24112yes—
248#63225C24112yes—
249#63225C24124yes—
250#63225C24124yes—
251#63225C2414yes—
252#63225C2414yes—
253#63225C24112yes—
254#63225C24112yes—
255C4×Dic17C24112yes—
256C4×Dic17C24112yes—
257C4×Dic17C24112yes—
258C4×Dic17C2414yes—
259C4×Dic17C24112yes—
260C2×#3504—171nomaximal, Sylow
261C23×C17C2511yescharacteristic
262C22×D17—26no—
263C22×D17—26no—
264C22×D17C22×Q8112yes—
265C22×D17C2516yes—
266Q8×C17—412no—
267Q8×C17C22×Q8116yes—
268C2×C4×C17—22no—
269C2×C4×C17—26no—
270C2×C4×C17—26no—
271C2×C4×C17—22no—
272C2×C4×C17—26no—
273C2×C4×C17—22no—
274C2×C4×C17C22×Q8112yes—
275C2×C4×C17C2512yes—
276C2×C4×C17C2512yes—
277C2×C4×C17C2512yes—
278C2×C4×C17C2516yes—
279C2×C4×C17C2516yes—
280C2×C4×C17C2516yes—
281C2×C4×C17C2516yes—
282C2×Dic17—22no—
283C2×Dic17—22no—
284C2×Dic17—26no—
285C2×Dic17—26no—
286C2×Dic17—26no—
287C2×Dic17—22no—
288C2×Dic17C22×Q814yes—
289C2×Dic17C2512yes—
290C2×Dic17C2512yes—
291C2×Dic17C2516yes—
292C2×Dic17C2516yes—
293C2×Dic17C2516yes—
294C2×Dic17C2512yes—
295C2×Dic17C2512yes—
296D68C22×Q8148yes—
297C4×D17—412no—
298C4×D17—424no—
299C4×D17—424no—
300C4×D17—412no—
301C4×D17C22×Q8148yes—
302Dic34—412no—
303Dic34—412no—
304Dic34—412no—
305#3504—1732no—
306C2×#557—171no—
307C2×#557—171no—
308C2×#557—171no—
309C2×#557D1711yescharacteristic, complemented
310C2×#554—173no—
311C2×#554—173no—
312C2×#554—173no—
313C2×#554—173no—
314C2×#544—173no—
315C2×#544—173no—
316C2×#533—173no—
317C22×#125—173no—
318C2×#520—171no—
319C2×#520—171no—
320C2×C4×#41—171no—
321C22×C17C23×Q812yes—
322C22×C17#58512yes—
323C22×C17#58512yes—
324C22×C17C2611yescharacteristic
325C2×D17—26no—
326C2×D17—26no—
327C2×D17—224no—
328C2×D17C23×Q8112yes—
329C4×C17—22no—
330C4×C17—26no—
331C4×C17—26no—
332C4×C17—22no—
333C4×C17—26no—
334C4×C17—22no—
335C4×C17C23×Q8112yes—
336Dic17—22no—
337Dic17—22no—
338Dic17—26no—
339Dic17—26no—
340Dic17—26no—
341Dic17—22no—
342Dic17C23×Q814yes—
343C22×#41—171no—
344#557—1716no—
345#557—1716no—
346#557—1716no—
347#557C2×D17116yescomplemented
348#554—1748no—
349#554—1748no—
350#554—1748no—
351#554—1748no—
352#544—1748no—
353#544—1748no—
354#533—1748no—
355C2×C4⋊Q8—173no—
356C2×C4⋊Q8—173no—
357C2×C4⋊Q8—173no—
358C2×C4⋊Q8—173no—
359C2×C4⋊Q8—173no—
360C2×C4⋊Q8C2×D1713yes—
361C2×#125—1748no—
362C2×#125—173no—
363C2×#125—176no—
364C2×#125—173no—
365C2×#125—173no—
366C2×#125—171no—
367C2×#125—173no—
368C2×#125—173no—
369C2×#125—173no—
370C2×#125—173no—
371C2×#125C2×D1713yes—
372C2×#125C2×D1713yes—
373C2×C22⋊Q8—173no—
374C2×C22⋊Q8—176no—
375C2×C22⋊Q8—173no—
376C2×C22⋊Q8—173no—
377C2×C22⋊Q8—176no—
378C2×C22⋊Q8—176no—
379C2×C22⋊Q8—173no—
380C2×C22⋊Q8—176no—
381#520—1716no—
382#520—1716no—
383C4×#41—1716no—
384C2×C4×Q8—171no—
385C2×C4×Q8—171no—
386C2×C4×Q8—171no—
387C2×C4×Q8—173no—
388C2×C4×Q8—173no—
389C2×C4×Q8—173no—
390C2×C4×Q8C2×D1711yescharacteristic
391C2×C4×Q8C2×D1711yescharacteristic
392C2×C4×Q8C2×D1711yescharacteristic
393C2×C4×Q8C2×D1713yes—
394C2×C4×D4—173no—
395C2×C4×D4—173no—
396C2×C4×D4—173no—
397C2×C4×D4—173no—
398C2×C4×D4—173no—
399C2×C4×D4—173no—
400C2×#117—173no—
401C2×#117—173no—
402C2×#117—173no—
403C22×C4⋊C4—173no—
404C22×C4⋊C4—173no—
405C22×C4⋊C4—176no—
406C22×C4⋊C4—176no—
407C22×C42—173no—
408C2×C17#350414yescomplemented
409C2×C17C24×Q811yescharacteristic
410C2×C17C2×#58511yescharacteristic
411C2×C17C2×#58511yescharacteristic
412D17—212no—
413C2×#41—1716no—
414C2×#41—178no—
415C22×Q8—173no—
416C22×Q8—173no—
417C22×Q8—173no—
418C22×Q8C22×D1713yes—
419C22×Q8C22×D1711yescharacteristic
420C22×D4—173no—
421C23×C4—173no—
422C23×C4—176no—
423C23×C4—176no—
424C23×C4—173no—
425C23×C4—173no—
426C4⋊Q8—1724no—
427C4⋊Q8—1724no—
428C4⋊Q8—1724no—
429C4⋊Q8—1724no—
430C4⋊Q8—1724no—
431C4⋊Q8C22×D17124yes—
432#125—1724no—
433#125—1748no—
434#125—1724no—
435#125—1724no—
436#125—178no—
437#125—1724no—
438#125—1724no—
439#125—1724no—
440#125—1724no—
441#125C22×D17124yes—
442#125C22×D17124yes—
443C22⋊Q8—1724no—
444C22⋊Q8—1748no—
445C22⋊Q8—1724no—
446C22⋊Q8—1724no—
447C22⋊Q8—1724no—
448C22⋊Q8—1748no—
449C22⋊Q8—1748no—
450C22⋊Q8—1748no—
451C4×Q8—178no—
452C4×Q8—178no—
453C4×Q8—178no—
454C4×Q8—1724no—
455C4×Q8—1724no—
456C4×Q8—1724no—
457C4×Q8C22×D1718yes—
458C4×Q8C22×D1718yes—
459C4×Q8C22×D1718yes—
460C4×Q8C22×D17124yes—
461C4×D4—1724no—
462C4×D4—1724no—
463C4×D4—1724no—
464C4×D4—1724no—
465C4×D4—1724no—
466C4×D4—1724no—
467#117—1724no—
468#117—1724no—
469#117—1724no—
470C2×C4⋊C4—173no—
471C2×C4⋊C4—173no—
472C2×C4⋊C4—173no—
473C2×C4⋊C4—173no—
474C2×C4⋊C4—173no—
475C2×C4⋊C4—173no—
476C2×C4⋊C4—173no—
477C2×C4⋊C4—176no—
478C2×C4⋊C4—176no—
479C2×C4⋊C4—176no—
480C2×C4⋊C4—171no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—173no—
483C2×C4⋊C4—171no—
484C2×C4⋊C4—171no—
485C2×C4⋊C4—171no—
486C2×C4⋊C4—173no—
487C2×C4⋊C4—173no—
488C2×C4⋊C4—173no—
489C2×C4⋊C4—1724no—
490C2×C4⋊C4—1724no—
491C2×C4⋊C4—1748no—
492C2×C4⋊C4—1748no—
493C2×C4⋊C4C22×D1713yes—
494C2×C4⋊C4C22×D1713yes—
495C2×C4⋊C4C22×D1713yes—
496C2×C4⋊C4C22×D1716yes—
497C2×C4⋊C4C22×D1713yes—
498C2×C4⋊C4C22×D1711yescharacteristic
499C2×C4⋊C4C22×D1713yes—
500C2×C22⋊C4—173no—
501C2×C22⋊C4—173no—
502C2×C22⋊C4—176no—
503C2×C22⋊C4—173no—
504C2×C22⋊C4—173no—
505C2×C42—173no—
506C2×C42—173no—
507C2×C42—173no—
508C2×C42—173no—
509C2×C42—171no—
510C2×C42—1724no—
511C2×C42C22×D1713yes—
512C2×C42C22×D1713yes—
513C2×C42C22×D1713yes—
514C17C2×#350411yescharacteristic, complemented, Sylow
515C24—173no—
516#41—1764no—
517C2×Q8—46no—
518C2×Q8—1712no—
519C2×Q8—1712no—
520C2×Q8—1712no—
521C2×Q8—686no—
522C2×Q8—686no—
523C2×Q8—686no—
524C2×Q8Q8×D1718yes—
525C2×Q8C23×D17112yes—
526C2×Q8C23×D1714yes—
527C2×D4—1724no—
528C2×D4—1712no—
529C22×C4—171no—
530C22×C4—1724no—
531C22×C4—1712no—
532C22×C4—171no—
533C22×C4—171no—
534C22×C4—171no—
535C22×C4—173no—
536C22×C4—173no—
537C22×C4—173no—
538C22×C4—1712no—
539C22×C4—1712no—
540C22×C4—1724no—
541C22×C4—1724no—
542C22×C4—6812no—
543C22×C4—686no—
544C22×C4—686no—
545C22×C4—6812no—
546C22×C4C23×D1711yescharacteristic
547C22×C4C23×D1713yes—
548C22×C4C23×D1711yescharacteristic
549C22×C4C23×D1711yescharacteristic
550C22×C4C23×D1713yes—
551C22×C4C23×D1713yes—
552C22×C4C23×D1713yes—
553C4⋊C4—1712no—
554C4⋊C4—1712no—
555C4⋊C4—1712no—
556C4⋊C4—1712no—
557C4⋊C4—1712no—
558C4⋊C4—1712no—
559C4⋊C4—1712no—
560C4⋊C4—1724no—
561C4⋊C4—1724no—
562C4⋊C4—1724no—
563C4⋊C4—174no—
564C4⋊C4—174no—
565C4⋊C4—1712no—
566C4⋊C4—174no—
567C4⋊C4—174no—
568C4⋊C4—174no—
569C4⋊C4—1712no—
570C4⋊C4—1712no—
571C4⋊C4—1712no—
572C4⋊C4C23×D17112yes—
573C4⋊C4C23×D17112yes—
574C4⋊C4C23×D17112yes—
575C4⋊C4C23×D17124yes—
576C4⋊C4C23×D17112yes—
577C4⋊C4C23×D1714yes—
578C4⋊C4C23×D17112yes—
579C22⋊C4—1712no—
580C22⋊C4—1712no—
581C22⋊C4—1724no—
582C22⋊C4—1712no—
583C22⋊C4—1712no—
584C42—174no—
585C42—1712no—
586C42—1712no—
587C42—1712no—
588C42—1712no—
589C42C23×D17112yes—
590C42C23×D17112yes—
591C42C23×D17112yes—
592C23—1712no—
593C23—176no—
594C23—346no—
595C23—346no—
596C23C24×D1711yescharacteristic
597Q8—412no—
598Q8—6812no—
599Q8—6812no—
600Q8—6812no—
601Q8C2×Q8×D17116yes—
602D4—1748no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—174no—
610C2×C4—172no—
611C2×C4—1748no—
612C2×C4—172no—
613C2×C4—172no—
614C2×C4—172no—
615C2×C4—176no—
616C2×C4—176no—
617C2×C4—176no—
618C2×C4—342no—
619C2×C4—346no—
620C2×C4—342no—
621C2×C4—346no—
622C2×C4—346no—
623C2×C4—342no—
624C2×C4—6824no—
625C2×C4—6812no—
626C2×C4—6812no—
627C2×C4—6824no—
628C2×C4C2×Q8×D17112yes—
629C2×C4C24×D1712yes—
630C2×C4C24×D1716yes—
631C2×C4C24×D1712yes—
632C2×C4C24×D1712yes—
633C2×C4C24×D1716yes—
634C2×C4C24×D1716yes—
635C2×C4C24×D1716yes—
636C22—1712no—
637C22—3424no—
638C22—346no—
639C22—346no—
640C22C22×Q8×D1712yes—
641C22#1176364512yes—
642C22#1176364612yes—
643C22C25×D1711yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—174no—
651C4—342no—
652C4—346no—
653C4—342no—
654C4—346no—
655C4—346no—
656C4—342no—
657C4C22×Q8×D17112yes—
658C2—3412no—
659C2#1454260914yesdirect product factor
660C2C23×Q8×D1711yescharacteristic
661C2C2×#1176364511yescharacteristic
662C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#557C2
socleC23×C17C25
prime radicalC22×#63256C22
hypercenterC2×#557D17
hypocenterC17C2×#3504
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #14542609C2direct (N × H)
2. C2×#11763538C2semidirect
3. C2×#11763535C2semidirect
4. C2×#11763535C2semidirect
5. C2×#11763520C2semidirect
6. C2×#11763519C2semidirect
7. C2×#11763515C2semidirect
8. C2×#11763515C2semidirect
9. C2×#11763439C2semidirect
10. C2×#11763436C2semidirect
11. C2×#11763363C2semidirect
12. C2×#125×D17C2semidirect
16. C2×C17×#557C2semidirect
18. #11763538C22semidirect
19. #11763535C22semidirect
20. #11763535C22semidirect
21. #11763520C22semidirect
22. #11763519C22semidirect
23. #11763515C22semidirect
24. #11763515C22semidirect
25. #11763439C22semidirect
26. #11763436C22semidirect
27. #11763363C22semidirect
42. #125×D17C22semidirect
74. C17×#557C22semidirect
84. C2×#63256Q8semidirect
202. #63256C2×Q8semidirect
309. C2×#557D17semidirect
347. #557C2×D17semidirect
408. C2×C17#3504semidirect
514. C17C2×#3504semidirect
659. C2#14542609direct (N × H)

Maximal subgroups

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

subgroupindex
#145426092
C2×#117635382
C2×#117635352
C2×#117635202
C2×#117635192
C2×#117635152
C2×#117634392
C2×#117634362
C2×#117633632
C2×#125×D172
C2×#117632912
C2×C4×#632562
C2×C17×#5572
C2×#350417