Finite Group Databasebeta

← C2×#13127618 #16742583

Subgroups — C2×#13127618 #16742583

Order 3328.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719272C211yesmaximal, characteristic, complemented
2C2×#11719244C211yesmaximal, characteristic
3#13127618C2116yesmaximal, direct product factor
4C2×#11718364C211yesmaximal, characteristic, complemented
5C2×#11718458C211yesmaximal, characteristic, complemented
6C2×#11718453C211yesmaximal, characteristic, complemented
7C2×#11718683C211yesmaximal, characteristic, complemented
8C2×#11718538C211yesmaximal, characteristic, complemented
9C2×#11718536C211yesmaximal, characteristic, complemented
10C2×#11718680C211yesmaximal, characteristic
11C2×#11718823C211yesmaximal, characteristic
12C2×#11718823C211yesmaximal, characteristic
13C2×#11718362C211yesmaximal, characteristic, complemented
14C2×#11718418C211yesmaximal, characteristic
15C2×#11718419C211yesmaximal, characteristic
16C2×C13×#440C211yesmaximal, characteristic
17C22×C13×SD16C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×#88198C2211yescharacteristic
21C2×#88198C2211yescharacteristic
22C2×D4×Dic13C2211yescharacteristic
23C2×D4×Dic13C2211yescharacteristic
24C22×#6105C2211yescharacteristic
25C22×#6105C2211yescharacteristic
26C2×#88178—21no—
27C22×#6101—21no—
28#11719272—24no—
29#11719272C2218yescomplemented
30#11719244—24no—
31#11719244C2218yes—
32C2×#88144C2211yescharacteristic
33C2×#88143—21no—
34C2×#88143—21no—
35C2×#88142C2211yescharacteristic
36C2×#88141C2211yescharacteristic
37C2×#88141C2211yescharacteristic
38C2×#88132—21no—
39C2×#88132—21no—
40C2×#88124—21no—
41C2×#88124C2211yescharacteristic
42C2×#88123C2211yescharacteristic
43C2×C4×Dic26—21no—
44C2×C4×Dic26C2211yescharacteristic
45C13×#440C2218yes—
46C2×C13×#107C2211yescharacteristic
47C2×C13×#103C2211yescharacteristic
48C2×C13×#102C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52#11718823C2218yes—
53#11718823C2218yes—
54C2×#88056C2211yescharacteristic
55C2×#88056C2211yescharacteristic
56C2×#88056C2211yescharacteristic
57C2×#88056C2211yescharacteristic
58C2×#88055C2211yescharacteristic
59C2×#88054C2211yescharacteristic
60C2×#88054C2211yescharacteristic
61C2×C8×Dic13C2211yescharacteristic
62#11718683C2218yescomplemented
63#11718680C2218yes—
64C2×#88050C2211yescharacteristic
65C2×#88050C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88047C2211yescharacteristic
68C2×C4⋊#1055C2211yescharacteristic
69#11718538C2218yescomplemented
70#11718536C2218yescomplemented
71#11718458C2218yescomplemented
72#11718453C2218yescomplemented
73#11718419C2218yes—
74#11718418C2218yes—
75#11718364C2218yescomplemented
76#11718362C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×D4×C13C2311yescharacteristic
79C23×C4×C13—21no—
80C23×Dic13—21no—
81C23×Dic13—21no—
82C22×Dic26—21no—
83C22×Dic26D411yescharacteristic
84C22×Dic26C2311yescharacteristic
85C22×Dic26C2311yescharacteristic
86C2×C13×SD16—24no—
87C2×C13×SD16C2314yes—
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C4×Q8×C13—22no—
91C4×Q8×C13C2314yes—
92C4×D4×C13—22no—
93C4×D4×C13C2314yes—
94C2×C13×C4⋊C4—21no—
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C22⋊C4—21no—
98C2×C42×C13—21no—
99C2×C42×C13C2311yescharacteristic
100C2×C22⋊Dic13—21no—
101C2×C22⋊Dic13—21no—
102#88198—22no—
103#88198—22no—
104#88198C2314yes—
105#88198C2314yes—
106D4×Dic13—22no—
107D4×Dic13—22no—
108D4×Dic13C2314yes—
109D4×Dic13C2314yes—
110C2×#6105—24no—
111C2×#6105—24no—
112C2×#6105C2314yes—
113C2×#6105C2314yes—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13D411yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120#88178—28no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101—21no—
129C2×#6101—21no—
130C2×#6101—21no—
131C2×#6101—28no—
132C2×#6101D411yescharacteristic
133C2×#6101D411yescharacteristic
134C2×C4×Dic13—21no—
135C2×C4×Dic13—21no—
136C2×C4×Dic13C2311yescharacteristic
137C2×C4×Dic13C2311yescharacteristic
138C22×#1055C2311yescharacteristic
139C22×#1055C2311yescharacteristic
140#88144—22no—
141#88144C2314yes—
142#88143—28no—
143#88143—28no—
144#88142—22no—
145#88142C2314yes—
146#88141—22no—
147#88141—22no—
148#88141C2314yes—
149#88141C2314yes—
150#88132—28no—
151#88132—28no—
152#88124—22no—
153#88124—28no—
154#88124C2314yes—
155#88123—22no—
156#88123C2314yes—
157C4×Dic26—28no—
158C4×Dic26D414yes—
159C4×Dic26C2314yes—
160C13×#107C2314yes—
161C13×#103C2314yes—
162C13×#102C2314yes—
163C13×#97C2314yes—
164#88075C2314yes—
165#88075C2314yes—
166#88056C2314yes—
167#88056C2314yes—
168#88056C2314yes—
169#88056C2314yes—
170#88055C2314yes—
171#88054C2314yes—
172#88054C2314yes—
173C8×Dic13C2314yes—
174#88050C2314yes—
175#88050C2314yes—
176#88048C2314yes—
177#88047C2314yes—
178C4⋊#1055C2314yes—
179C2×#3372—131nomaximal, Sylow
180C24×C13—21no—
181C2×Q8×C13—21no—
182C2×Q8×C13—22no—
183C2×Q8×C13—22no—
184C2×Q8×C13C2412yes—
185C2×D4×C13—21no—
186C2×D4×C13—22no—
187C2×D4×C13#4114yes—
188C2×D4×C13C2412yes—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—24no—
193C22×C4×C13—82no—
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2411yescharacteristic
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13—21no—
201C22×Dic13—24no—
202C22×Dic13—24no—
203C22×Dic13—44no—
204C22×Dic13—82no—
205C22×Dic13C2×D411yescharacteristic
206C22×Dic13C2×D411yescharacteristic
207C22×Dic13C2×D411yescharacteristic
208C22×Dic13C2×D411yescharacteristic
209C2×Dic26—24no—
210C2×Dic26—22no—
211C2×Dic26—22no—
212C2×Dic26—22no—
213C2×Dic26—22no—
214C2×Dic26—21no—
215C2×Dic26—21no—
216C2×Dic26—24no—
217C2×Dic26—82no—
218C2×Dic26C2×D414yes—
219C2×Dic26C2412yes—
220C2×Dic26C2412yes—
221C13×SD16—28no—
222C2×C8×C13—22no—
223C2×C8×C13—22no—
224C2×C8×C13C2412yes—
225C2×C8×C13C2412yes—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—24no—
229C13×C4⋊C4C2412yes—
230C13×C4⋊C4C2412yes—
231C13×C22⋊C4—24no—
232C42×C13—24no—
233C42×C13C2×D412yes—
234C42×C13C2412yes—
235C22⋊Dic13—24no—
236C22⋊Dic13—24no—
237#6105—28no—
238#6105—28no—
239C4⋊Dic13—24no—
240C4⋊Dic13—24no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13C2×D414yes—
245C4⋊Dic13C2412yes—
246C4⋊Dic13C2412yes—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101C2×D414yes—
258#6101C2×D414yes—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13C2×D412yes—
262C4×Dic13C2×D412yes—
263C4×Dic13C2412yes—
264C4×Dic13C2412yes—
265C2×#1055—22no—
266C2×#1055—22no—
267C2×#1055C2412yes—
268C2×#1055C2412yes—
269C2×#557—131no—
270C2×#554—131no—
271#3372—1316no—
272C2×#491—131no—
273C2×#491—131no—
274C2×#487—131no—
275C2×#479—131no—
276C2×#479—131no—
277C2×#477—131no—
278C2×#461—131no—
279C2×#461—131no—
280C2×#461—131no—
281C2×#446—131no—
282C2×#440—131no—
283C2×#440D1311yescharacteristic
284C2×C4×SD16—131no—
285C23×C13—24no—
286C23×C13—22no—
287C23×C13—42no—
288C23×C13—42no—
289C23×C13C22×D411yescharacteristic
290Q8×C13—22no—
291Q8×C13—22no—
292Q8×C13—42no—
293D4×C13—24no—
294D4×C13—22no—
295D4×C13C2×#4114yes—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—42no—
302C2×C4×C13—42no—
303C2×C4×C13—42no—
304C2×C4×C13—84no—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C13C2×#4112yes—
309C2×C4×C132−1+412yes—
310C2×C4×C13C2511yescharacteristic
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—48no—
323C2×Dic13—84no—
324C2×Dic13#13714yes—
325C2×Dic13C22×D412yes—
326C2×Dic13C22×D412yes—
327C2×Dic13C22×D412yes—
328C2×Dic13C22×D412yes—
329Dic26—28no—
330Dic26—22no—
331Dic26—22no—
332Dic26—22no—
333Dic26—22no—
334Dic26—42no—
335Dic26—42no—
336Dic26—84no—
337C8×C13—22no—
338C8×C13—22no—
339#1055—22no—
340#1055—22no—
341C22×SD16—131no—
342C22×SD16—131no—
343C22×SD16C2×D1311yescharacteristic
344#557—138no—
345#557—264no—
346#554—138no—
347#554—264no—
348C2×C4⋊Q8—131no—
349C2×C4⋊Q8—131no—
350C2×C4⋊Q8—131no—
351C2×C4⋊Q8—131no—
352C2×#125—131no—
353C2×#125—131no—
354C2×#125—261no—
355C2×#125—261no—
356C2×#125—261no—
357C2×C22⋊Q8—261no—
358C2×C22⋊Q8—261no—
359C2×C22⋊Q8—261no—
360C2×C4×Q8—131no—
361C2×C4×Q8—131no—
362C2×C4×Q8—131no—
363C2×C4×Q8—261no—
364C2×C4×Q8C2×D1311yescharacteristic
365C2×C4×D4—131no—
366C2×C4×D4—131no—
367C2×C4×D4C2×D1311yescharacteristic
368C22×C4⋊C4—261no—
369#491—138no—
370#491—138no—
371#487—138no—
372#479—138no—
373#479—138no—
374#477—138no—
375#461—138no—
376#461—138no—
377#461—138no—
378#446—138no—
379#440—138no—
380#440C2×D1318yes—
381C4×SD16—138no—
382C2×#107—131no—
383C2×#107C2×D1311yescharacteristic
384C2×#106—131no—
385C2×C4⋊C8—131no—
386C2×C4⋊C8—131no—
387C2×C4⋊C8—131no—
388C2×#103—131no—
389C2×#103—131no—
390C2×#103—131no—
391C2×#103—131no—
392C2×#103—131no—
393C2×#103—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103C2×D1311yescharacteristic
397C2×#102C2×D1311yescharacteristic
398C2×#97—131no—
399C2×#97C2×D1311yescharacteristic
400C2×C4×C8—131no—
401C22×C13—24no—
402C22×C13—48no—
403C22×C13—42no—
404C22×C13—42no—
405C22×C13#54812yes—
406C22×C13C2×#13712yes—
407C22×C13#57712yes—
408C22×C13C23×D411yescharacteristic
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13#54812yes—
415C4×C13C22×#4111yescharacteristic
416C4×C13C2×2−1+411yescharacteristic
417Dic13—22no—
418Dic13—22no—
419Dic13—22no—
420Dic13—42no—
421Dic13—42no—
422Dic13—42no—
423Dic13—42no—
424Dic13C2×#13714yes—
425C22×Q8—131no—
426C22×Q8—131no—
427C22×Q8—131no—
428C22×Q8—261no—
429C22×Q8C22×D1311yescharacteristic
430C22×D4C22×D1311yescharacteristic
431C23×C4—21no—
432C23×C4—261no—
433C23×C4—261no—
434C2×SD16—24no—
435C2×SD16—134no—
436C2×SD16—134no—
437C2×SD16—264no—
438C2×SD16—264no—
439C2×SD16C22×D1314yes—
440C22×C8—131no—
441C22×C8—131no—
442C22×C8C22×D1311yescharacteristic
443C22×C8C22×D1311yescharacteristic
444C4⋊Q8—134no—
445C4⋊Q8—134no—
446C4⋊Q8—134no—
447C4⋊Q8—134no—
448C4⋊Q8—262no—
449C4⋊Q8—262no—
450C4⋊Q8—262no—
451C4⋊Q8—262no—
452#125—134no—
453#125—134no—
454#125—268no—
455#125—262no—
456#125—268no—
457#125—268no—
458#125—262no—
459C22⋊Q8—268no—
460C22⋊Q8—268no—
461C22⋊Q8—268no—
462C4×Q8—22no—
463C4×Q8—134no—
464C4×Q8—134no—
465C4×Q8—134no—
466C4×Q8—134no—
467C4×Q8—268no—
468C4×Q8—262no—
469C4×Q8—262no—
470C4×Q8C22×D1314yes—
471C4×D4—22no—
472C4×D4—134no—
473C4×D4—134no—
474C4×D4—262no—
475C4×D4—262no—
476C4×D4C22×D1314yes—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—131no—
483C2×C4⋊C4—268no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—261no—
489C2×C4⋊C4—261no—
490C2×C4⋊C4—261no—
491C2×C4⋊C4—261no—
492C2×C4⋊C4—261no—
493C2×C4⋊C4—261no—
494C2×C4⋊C4—261no—
495C2×C4⋊C4—261no—
496C2×C4⋊C4—261no—
497C2×C4⋊C4C22×D1311yescharacteristic
498C2×C4⋊C4C22×D1311yescharacteristic
499C2×C22⋊C4—21no—
500C2×C22⋊C4—261no—
501C2×C22⋊C4—261no—
502C2×C42—21no—
503C2×C42—131no—
504C2×C42—131no—
505C2×C42—261no—
506C2×C42—261no—
507C2×C42C22×D1311yescharacteristic
508#107—134no—
509#107C22×D1314yes—
510#106—134no—
511C4⋊C8—134no—
512C4⋊C8—134no—
513C4⋊C8—134no—
514#103—134no—
515#103—134no—
516#103—134no—
517#103—134no—
518#103—134no—
519#103—134no—
520#103—134no—
521#103—134no—
522#103C22×D1314yes—
523#102C22×D1314yes—
524#97—134no—
525#97C22×D1314yes—
526C4×C8—134no—
527C2×C13—44no—
528C2×C13#337214yescomplemented
529C2×C13C2×#54811yescharacteristic
530C2×C13C22×#13711yescharacteristic
531C2×C13C2×#57711yescharacteristic
532C24—21no—
533C2×Q8—21no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—134no—
537C2×Q8—132no—
538C2×Q8—132no—
539C2×Q8—264no—
540C2×Q8—264no—
541C2×Q8—261no—
542C2×Q8—261no—
543C2×Q8—262no—
544C2×Q8—262no—
545C2×Q8—262no—
546C2×Q8—262no—
547C2×Q8—1042no—
548C2×Q8C23×D1312yes—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4#612714yes—
552C2×D4C23×D1312yes—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—24no—
557C22×C4—82no—
558C22×C4—131no—
559C22×C4—131no—
560C22×C4—131no—
561C22×C4—131no—
562C22×C4—264no—
563C22×C4—264no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—261no—
568C22×C4—524no—
569C22×C4—1042no—
570C22×C4D4×D1311yescharacteristic
571C22×C4D4×D1311yescharacteristic
572C22×C4C23×D1311yescharacteristic
573SD16—28no—
574SD16—268no—
575SD16—268no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—132no—
579C2×C8—132no—
580C2×C8—262no—
581C2×C8—262no—
582C2×C8C23×D1312yes—
583C2×C8C23×D1312yes—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—134no—
588C4⋊C4—134no—
589C4⋊C4—134no—
590C4⋊C4—132no—
591C4⋊C4—132no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4—264no—
597C4⋊C4—264no—
598C4⋊C4—264no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—261no—
602C4⋊C4—261no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4C23×D1312yes—
608C4⋊C4C23×D1312yes—
609C22⋊C4—24no—
610C22⋊C4—264no—
611C22⋊C4—264no—
612C42—24no—
613C42—132no—
614C42—132no—
615C42—132no—
616C42—132no—
617C42—264no—
618C42—264no—
619C42D4×D1312yes—
620C42C23×D1312yes—
621C13C2×#337211yescharacteristic, complemented, Sylow
622C23—24no—
623C23—22no—
624C23—42no—
625C23—42no—
626C23C2×D4×D1311yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—42no—
630Q8—268no—
631Q8—262no—
632Q8—262no—
633Q8—262no—
634Q8—262no—
635Q8—522no—
636Q8—522no—
637Q8—1044no—
638D4—24no—
639D4—22no—
640D4C2×#612714yes—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—84no—
650C2×C4—134no—
651C2×C4—132no—
652C2×C4—132no—
653C2×C4—132no—
654C2×C4—132no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—528no—
663C2×C4—522no—
664C2×C4—522no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—1044no—
668C2×C4C2×#612712yes—
669C2×C4C2×D4×D1312yes—
670C2×C4C2×D4×D1312yes—
671C2×C4C2×D4×D1311yescharacteristic
672C2×C4#8825712yes—
673C2×C4C24×D1311yescharacteristic
674C8—22no—
675C8—22no—
676C8—262no—
677C8—262no—
678C22—24no—
679C22—42no—
680C22—42no—
681C22—48no—
682C22#1171925712yes—
683C22#1171948012yes—
684C22D13×#13712yes—
685C22C22×D4×D1311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—134no—
692C4—262no—
693C4—262no—
694C4—262no—
695C4—522no—
696C4—522no—
697C4—522no—
698C4—522no—
699C4#1171925712yes—
700C4C22×#612711yescharacteristic
701C4C2×#8825711yescharacteristic
702C2—44no—
703C2#1312761814yesdirect product factor
704C2C2×#1171925711yescharacteristic
705C2C2×D13×#13711yescharacteristic
706C2C2×#1171948011yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#440C2
socleC23×C13C22×D4
prime radicalC22×D4×C13C23
hypercenterC2×#440D13
hypocenterC13C2×#3372
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#11719272C2semidirect
3. #13127618C2direct (N × H)
4. C2×#11718364C2semidirect
5. C2×#11718458C2semidirect
6. C2×#11718453C2semidirect
7. C2×#11718683C2semidirect
8. C2×#11718538C2semidirect
9. C2×#11718536C2semidirect
13. C2×#11718362C2semidirect
29. #11719272C22semidirect
62. #11718683C22semidirect
69. #11718538C22semidirect
70. #11718536C22semidirect
71. #11718458C22semidirect
72. #11718453C22semidirect
75. #11718364C22semidirect
76. #11718362C22semidirect
528. C2×C13#3372semidirect
621. C13C2×#3372semidirect
703. C2#13127618direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192722
C2×#117192442
#131276182
C2×#117183642
C2×#117184582
C2×#117184532
C2×#117186832
C2×#117185382
C2×#117185362
C2×#117186802
C2×#117188232
C2×#117183622
C2×#117184182
C2×#117184192
C2×C13×#4402
C2×#337213