Finite Group Databasebeta

← C2×#13125999 #16734944

Subgroups — C2×#13125999 #16734944

Order 3328.

1822 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×#11719385C211yesmaximal, characteristic
2C2×D13×#125C211yesmaximal, characteristic, complemented
3#13125999C2116yesmaximal, direct product factor
4C2×#11718344C211yesmaximal, characteristic, complemented
5C2×#11718725C211yesmaximal, characteristic, complemented
6C2×#11718717C211yesmaximal, characteristic, complemented
7C2×#11718470C211yesmaximal, characteristic, complemented
8C2×#11718438C211yesmaximal, characteristic
9C2×#11718466C211yesmaximal, characteristic, complemented
10C2×#11718435C211yesmaximal, characteristic
11C2×#11718457C211yesmaximal, characteristic, complemented
12C2×#11718460C211yesmaximal, characteristic, complemented
13C2×#11718424C211yesmaximal, characteristic, complemented
14C2×#11718427C211yesmaximal, characteristic, complemented
15C2×#11718346C211yesmaximal, characteristic, complemented
16C2×C13×#488C211yesmaximal, characteristic, complemented
17C2×C13×#125C2211yescharacteristic
18C2×C13×#124C2211yescharacteristic
19C2×#88200C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C2×#88192C2211yescharacteristic
22C2×D4×Dic13C2211yescharacteristic
23D13×#125—24no—
24D13×#125C2218yescomplemented
25#11719385—24no—
26#11719385C2218yes—
27C2×C4⋊C4×D13—21no—
28C2×C4⋊C4×D13—21no—
29C2×C4⋊C4×D13C2211yescharacteristic
30C2×C4⋊C4×D13C2211yescharacteristic
31C2×#88144C2211yescharacteristic
32C2×#88144C2211yescharacteristic
33C2×#88143—21no—
34C2×#88143—21no—
35C2×#88137—21no—
36C2×#88135—21no—
37C2×#88133—21no—
38C2×#88131—21no—
39C2×C42×D13C2211yescharacteristic
40C2×#88124C2211yescharacteristic
41C2×#88124C2211yescharacteristic
42C13×#488C2218yescomplemented
43C2×C13×#103C2211yescharacteristic
44C2×C13×#103C2211yescharacteristic
45C2×C13×#102C2211yescharacteristic
46C2×C13×#102C2211yescharacteristic
47C2×C4×C8×C13C2211yescharacteristic
48C2×#88075C2211yescharacteristic
49C2×#88075C2211yescharacteristic
50C2×#88072C2211yescharacteristic
51C2×#88072C2211yescharacteristic
52C2×#88060C2211yescharacteristic
53C2×#88060C2211yescharacteristic
54C2×#88058C2211yescharacteristic
55C2×#88058C2211yescharacteristic
56C2×#88057C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88054C2211yescharacteristic
59C2×#88054C2211yescharacteristic
60#11718725C2218yescomplemented
61#11718717C2218yescomplemented
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4×#1055C2211yescharacteristic
67#11718470C2218yescomplemented
68#11718466C2218yescomplemented
69#11718460C2218yescomplemented
70#11718457C2218yescomplemented
71#11718438C2218yes—
72#11718435C2218yes—
73#11718427C2218yescomplemented
74#11718424C2218yescomplemented
75#11718346C2218yescomplemented
76#11718344C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×D4×C13C2311yescharacteristic
79C22×C22⋊D13—21no—
80C23×Dic13—21no—
81C22×C4×D13—21no—
82C22×C4×D13—21no—
83C22×C4×D13D411yescharacteristic
84C22×C4×D13D411yescharacteristic
85C22×C4×D13C2311yescharacteristic
86C22×C8×C13C2311yescharacteristic
87C22×C8×C13C2311yescharacteristic
88C13×#125—22no—
89C13×#125C2314yes—
90C13×#124—22no—
91C13×#124C2314yes—
92C2×C13×C4⋊C4—21no—
93C2×C13×C4⋊C4—21no—
94C2×C13×C4⋊C4C2311yescharacteristic
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C22⋊C4—21no—
97C2×C13×C22⋊C4—21no—
98C2×C42×C13C2311yescharacteristic
99C2×C22⋊Dic13—21no—
100C2×C22⋊Dic13—21no—
101#88200—22no—
102#88200C2314yes—
103Q8×Dic13—22no—
104Q8×Dic13C2314yes—
105#88192—22no—
106#88192C2314yes—
107D4×Dic13—22no—
108D4×Dic13C2314yes—
109C2×#6103—21no—
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13C2311yescharacteristic
114C2×C4⋊Dic13C2311yescharacteristic
115C2×C4⋊Dic13C2311yescharacteristic
116C2×C4⋊Dic13C2311yescharacteristic
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×C4×Dic13—21no—
127C2×C4×Dic13D411yescharacteristic
128C2×C4×Dic13D411yescharacteristic
129C2×C4×Dic13C2311yescharacteristic
130C22×#1055C2311yescharacteristic
131C22×#1055C2311yescharacteristic
132C4⋊C4×D13—28no—
133C4⋊C4×D13—28no—
134C4⋊C4×D13—22no—
135C4⋊C4×D13—22no—
136C4⋊C4×D13C2314yes—
137C4⋊C4×D13C2314yes—
138#88144—22no—
139#88144—22no—
140#88144C2314yes—
141#88144C2314yes—
142#88143—28no—
143#88143—28no—
144#88137—28no—
145#88135—28no—
146#88133—28no—
147#88131—28no—
148C42×D13D414yes—
149C42×D13C2314yes—
150#88124—22no—
151#88124—22no—
152#88124C2314yes—
153#88124C2314yes—
154C13×#103C2314yes—
155C13×#103C2314yes—
156C13×#102C2314yes—
157C13×#102C2314yes—
158C4×C8×C13C2314yes—
159#88075C2314yes—
160#88075C2314yes—
161#88072C2314yes—
162#88072C2314yes—
163#88060C2314yes—
164#88060C2314yes—
165#88058C2314yes—
166#88058C2314yes—
167#88057C2314yes—
168#88057C2314yes—
169#88054C2314yes—
170#88054C2314yes—
171#88048C2314yes—
172#88048C2314yes—
173#88047C2314yes—
174#88047C2314yes—
175C4×#1055C2314yes—
176C2×#3232—131nomaximal, Sylow
177C24×C13—21no—
178C23×D13C2×D411yescharacteristic
179C2×Q8×C13—21no—
180C2×Q8×C13—22no—
181C2×Q8×C13—22no—
182C2×Q8×C13C2412yes—
183C2×D4×C13—21no—
184C2×D4×C13—22no—
185C2×D4×C13—22no—
186C2×D4×C13C2412yes—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2411yescharacteristic
193C2×C22⋊D13—24no—
194C2×C22⋊D13—44no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—24no—
200C22×Dic13—44no—
201C22×Dic13C2×D411yescharacteristic
202C22×Dic13C2×D411yescharacteristic
203C22×Dic13C2×D411yescharacteristic
204C2×C4×D13—24no—
205C2×C4×D13—22no—
206C2×C4×D13—22no—
207C2×C4×D13—24no—
208C2×C4×D13—24no—
209C2×C4×D13—42no—
210C2×C4×D13—44no—
211C2×C4×D13—44no—
212C2×C4×D13C2×D412yes—
213C2×C4×D13C2×D414yes—
214C2×C4×D13C2×D414yes—
215C2×C4×D13C2412yes—
216C2×C8×C13—22no—
217C2×C8×C13—22no—
218C2×C8×C13C2412yes—
219C2×C8×C13C2412yes—
220C13×C4⋊C4—24no—
221C13×C4⋊C4—24no—
222C13×C4⋊C4—21no—
223C13×C4⋊C4—21no—
224C13×C4⋊C4C2412yes—
225C13×C4⋊C4C2412yes—
226C13×C22⋊C4—24no—
227C13×C22⋊C4—24no—
228C42×C13C2×D412yes—
229C42×C13C2412yes—
230C22⋊Dic13—24no—
231C22⋊Dic13—24no—
232#6103—24no—
233C4⋊Dic13—21no—
234C4⋊Dic13—21no—
235C4⋊Dic13—21no—
236C4⋊Dic13—21no—
237C4⋊Dic13—24no—
238C4⋊Dic13—24no—
239C4⋊Dic13—24no—
240C4⋊Dic13C2412yes—
241C4⋊Dic13C2412yes—
242C4⋊Dic13C2412yes—
243C4⋊Dic13C2412yes—
244#6101—24no—
245#6101—24no—
246#6101—24no—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253C4×Dic13—24no—
254C4×Dic13C2×D412yes—
255C4×Dic13C2×D414yes—
256C4×Dic13C2×D414yes—
257C4×Dic13C2412yes—
258C2×#1055—22no—
259C2×#1055—22no—
260C2×#1055C2412yes—
261C2×#1055C2412yes—
262C2×#529—131no—
263C22×#125—131no—
264#3232—1316no—
265C2×#499—131no—
266C2×#499—131no—
267C2×#488—131no—
268C2×#488D1311yescharacteristic, complemented
269C2×#484—131no—
270C2×#481—131no—
271C2×#483—131no—
272C2×#480—131no—
273C2×#479—131no—
274C2×#479—131no—
275C2×#478—131no—
276C2×#478—131no—
277C2×#431—131no—
278C23×C13—22no—
279C23×C13—42no—
280C23×C13—42no—
281C23×C13—42no—
282C23×C13C22×D411yescharacteristic
283C22×D13—22no—
284C22×D13—22no—
285C22×D13#13514yes—
286C22×D13C22×D412yes—
287Q8×C13—22no—
288Q8×C13—22no—
289Q8×C13—42no—
290D4×C13—22no—
291D4×C13—22no—
292D4×C13—42no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13C22×D412yes—
302C2×C4×C13C22×D412yes—
303C2×C4×C13C22×D411yescharacteristic
304C2×C4×C132−1+412yes—
305C2×C4×C132−1+412yes—
306C2×C4×C13C2511yescharacteristic
307C22⋊D13—48no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—48no—
316C2×Dic13—42no—
317C2×Dic13—42no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C2×Dic13C22×D412yes—
321C2×Dic13C22×D412yes—
322C2×Dic13C22×D412yes—
323C4×D13—28no—
324C4×D13—24no—
325C4×D13—22no—
326C4×D13—22no—
327C4×D13—44no—
328C4×D13—48no—
329C4×D13—48no—
330C8×C13—22no—
331C8×C13—22no—
332#1055—22no—
333#1055—22no—
334#529—138no—
335#529—264no—
336C2×#126—261no—
337C2×#125—138no—
338C2×#125—131no—
339C2×#125—131no—
340C2×#125—131no—
341C2×#125—131no—
342C2×#125—261no—
343C2×#125—261no—
344C2×#125—264no—
345C2×#125C2×D1311yescharacteristic
346C2×#124C2×D1311yescharacteristic
347C2×#123—261no—
348C2×C22⋊Q8—131no—
349C2×#121—131no—
350C2×C4×Q8—131no—
351C2×C4×D4—131no—
352C2×C4×D4—261no—
353C2×#117—261no—
354C22×C4⋊C4—131no—
355C22×C4⋊C4—131no—
356C22×C4⋊C4—261no—
357C22×C4⋊C4—261no—
358C22×C42—131no—
359#499—138no—
360#499—138no—
361#488—138no—
362#488C2×D1318yescomplemented
363#484—138no—
364#483—138no—
365#481—138no—
366#480—138no—
367#479—138no—
368#479—138no—
369#478—138no—
370#478—138no—
371#431—138no—
372C2×#107—131no—
373C2×#107—131no—
374C2×#107—131no—
375C2×#107—131no—
376C2×#106—131no—
377C2×#106—131no—
378C2×#106—131no—
379C2×#106—131no—
380C2×C4⋊C8—131no—
381C2×C4⋊C8—131no—
382C2×#103—131no—
383C2×#103—131no—
384C2×#103C2×D1311yescharacteristic
385C2×#103C2×D1311yescharacteristic
386C2×#102—131no—
387C2×#102—131no—
388C2×#102C2×D1311yescharacteristic
389C2×#102C2×D1311yescharacteristic
390C2×C22⋊C8—131no—
391C2×C22⋊C8—131no—
392C2×C4×C8—131no—
393C2×C4×C8C2×D1311yescharacteristic
394C22×C13—42no—
395C22×C13—42no—
396C22×C13—42no—
397C22×C13—84no—
398C22×C13#53612yes—
399C22×C13C2×#13512yes—
400C22×C13#57512yes—
401C22×C13C23×D411yescharacteristic
402C2×D13—22no—
403C2×D13—28no—
404C2×D13—22no—
405C2×D13C2×#13514yes—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—42no—
409C4×C13—42no—
410C4×C13—42no—
411C4×C13#53612yes—
412C4×C13C2×2−1+411yescharacteristic
413C4×C13C2×2−1+411yescharacteristic
414Dic13—22no—
415Dic13—22no—
416Dic13—22no—
417Dic13—42no—
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8C22×D1311yescharacteristic
422C22×D4—261no—
423C22×D4C22×D1311yescharacteristic
424C23×C4—131no—
425C23×C4—131no—
426C23×C4—131no—
427C23×C4—261no—
428C23×C4—261no—
429C23×C4—261no—
430C22×C8—131no—
431C22×C8—131no—
432C22×C8C22×D1311yescharacteristic
433C22×C8C22×D1311yescharacteristic
434#126—268no—
435#125—22no—
436#125—134no—
437#125—134no—
438#125—134no—
439#125—134no—
440#125—268no—
441#125—268no—
442#125—262no—
443#125—262no—
444#125—262no—
445#125—262no—
446#125C22×D1314yes—
447#124—22no—
448#124C22×D1314yes—
449#123—268no—
450C22⋊Q8—134no—
451C22⋊Q8—262no—
452#121—134no—
453#121—262no—
454C4×Q8—134no—
455C4×Q8—262no—
456C4×D4—134no—
457C4×D4—262no—
458C4×D4—268no—
459#117—268no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—131no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—131no—
465C2×C4⋊C4—131no—
466C2×C4⋊C4—134no—
467C2×C4⋊C4—134no—
468C2×C4⋊C4—262no—
469C2×C4⋊C4—262no—
470C2×C4⋊C4—268no—
471C2×C4⋊C4—268no—
472C2×C4⋊C4—261no—
473C2×C4⋊C4—261no—
474C2×C4⋊C4—261no—
475C2×C4⋊C4—261no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4—261no—
478C2×C4⋊C4—261no—
479C2×C4⋊C4—261no—
480C2×C4⋊C4—261no—
481C2×C4⋊C4—261no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4C22×D1311yescharacteristic
485C2×C4⋊C4C22×D1311yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—261no—
489C2×C22⋊C4—261no—
490C2×C22⋊C4—261no—
491C2×C42—131no—
492C2×C42—131no—
493C2×C42—131no—
494C2×C42—134no—
495C2×C42—134no—
496C2×C42—261no—
497C2×C42C22×D1311yescharacteristic
498#107—134no—
499#107—134no—
500#107—134no—
501#107—134no—
502#106—134no—
503#106—134no—
504#106—134no—
505#106—134no—
506C4⋊C8—134no—
507C4⋊C8—134no—
508#103—134no—
509#103—134no—
510#103C22×D1314yes—
511#103C22×D1314yes—
512#102—134no—
513#102—134no—
514#102C22×D1314yes—
515#102C22×D1314yes—
516C22⋊C8—134no—
517C22⋊C8—134no—
518C4×C8—134no—
519C4×C8C22×D1314yes—
520C2×C13—82no—
521C2×C13#323214yescomplemented
522C2×C13C2×#53611yescharacteristic
523C2×C13C22×#13511yescharacteristic
524C2×C13C2×#57511yescharacteristic
525D13—24no—
526C24—21no—
527C24—131no—
528C2×Q8—21no—
529C2×Q8—22no—
530C2×Q8—22no—
531C2×Q8C23×D1312yes—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—264no—
536C2×D4—524no—
537C2×D4C23×D1312yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—131no—
542C22×C4—131no—
543C22×C4—131no—
544C22×C4—132no—
545C22×C4—134no—
546C22×C4—132no—
547C22×C4—134no—
548C22×C4—264no—
549C22×C4—264no—
550C22×C4—264no—
551C22×C4—264no—
552C22×C4—262no—
553C22×C4—262no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4—261no—
558C22×C4—522no—
559C22×C4—524no—
560C22×C4—524no—
561C22×C4—524no—
562C22×C4D4×D1311yescharacteristic
563C22×C4D4×D1311yescharacteristic
564C22×C4C23×D1311yescharacteristic
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—132no—
568C2×C8—132no—
569C2×C8—262no—
570C2×C8—262no—
571C2×C8C23×D1312yes—
572C2×C8C23×D1312yes—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—132no—
578C4⋊C4—132no—
579C4⋊C4—132no—
580C4⋊C4—132no—
581C4⋊C4—264no—
582C4⋊C4—264no—
583C4⋊C4—264no—
584C4⋊C4—264no—
585C4⋊C4—264no—
586C4⋊C4—264no—
587C4⋊C4—264no—
588C4⋊C4—264no—
589C4⋊C4—261no—
590C4⋊C4—261no—
591C4⋊C4—261no—
592C4⋊C4—261no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4—264no—
597C4⋊C4C23×D1312yes—
598C4⋊C4C23×D1312yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—264no—
602C22⋊C4—264no—
603C22⋊C4—264no—
604C42—134no—
605C42—132no—
606C42—134no—
607C42—132no—
608C42—264no—
609C42D4×D1312yes—
610C42C23×D1312yes—
611C13C2×#323211yescharacteristic, complemented, Sylow
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—134no—
617C23—132no—
618C23—262no—
619C23—262no—
620C23C2×D4×D1311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—528no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—132no—
637C2×C4—132no—
638C2×C4—132no—
639C2×C4—268no—
640C2×C4—262no—
641C2×C4—262no—
642C2×C4—262no—
643C2×C4—264no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—262no—
648C2×C4—262no—
649C2×C4—262no—
650C2×C4—524no—
651C2×C4—528no—
652C2×C4—528no—
653C2×C4—528no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4—522no—
657C2×C4—522no—
658C2×C4C2×D4×D1312yes—
659C2×C4C2×D4×D1312yes—
660C2×C4C2×D4×D1311yescharacteristic
661C2×C4#8825712yes—
662C2×C4#8825712yes—
663C2×C4C24×D1311yescharacteristic
664C8—22no—
665C8—22no—
666C8—262no—
667C8—262no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—134no—
673C22—262no—
674C22—268no—
675C22—262no—
676C22#1171938012yes—
677C22D13×#13512yes—
678C22#1171947312yes—
679C22C22×D4×D1311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—262no—
686C4—262no—
687C4—262no—
688C4—522no—
689C4—522no—
690C4—522no—
691C4—522no—
692C4#1171938012yes—
693C4C2×#8825711yescharacteristic
694C4C2×#8825711yescharacteristic
695C2—82no—
696C2—264no—
697C2#1312599914yesdirect product factor
698C2C2×#1171938011yescharacteristic
699C2C2×D13×#13511yescharacteristic
700C2C2×#1171947311yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#488C2
socleC23×C13C22×D4
prime radicalC2×#88192C22
hypercenterC2×#488D13
hypocenterC13C2×#3232
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
2. C2×D13×#125C2semidirect
3. #13125999C2direct (N × H)
4. C2×#11718344C2semidirect
5. C2×#11718725C2semidirect
6. C2×#11718717C2semidirect
7. C2×#11718470C2semidirect
9. C2×#11718466C2semidirect
11. C2×#11718457C2semidirect
12. C2×#11718460C2semidirect
13. C2×#11718424C2semidirect
14. C2×#11718427C2semidirect
15. C2×#11718346C2semidirect
16. C2×C13×#488C2semidirect
24. D13×#125C22semidirect
42. C13×#488C22semidirect
60. #11718725C22semidirect
61. #11718717C22semidirect
67. #11718470C22semidirect
68. #11718466C22semidirect
69. #11718460C22semidirect
70. #11718457C22semidirect
73. #11718427C22semidirect
74. #11718424C22semidirect
75. #11718346C22semidirect
76. #11718344C22semidirect
268. C2×#488D13semidirect
362. #488C2×D13semidirect
521. C2×C13#3232semidirect
611. C13C2×#3232semidirect
697. C2#13125999direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117193852
C2×D13×#1252
#131259992
C2×#117183442
C2×#117187252
C2×#117187172
C2×#117184702
C2×#117184382
C2×#117184662
C2×#117184352
C2×#117184572
C2×#117184602
C2×#117184242
C2×#117184272
C2×#117183462
C2×C13×#4882
C2×#323213