Finite Group Databasebeta

← C2×#13127678 #16742716

Subgroups — C2×#13127678 #16742716

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719289C211yesmaximal, characteristic
2#13127678C2116yesmaximal, direct product factor
3C2×#11718730C211yesmaximal, characteristic, complemented
4C2×#11718750C211yesmaximal, characteristic
5C2×#11718729C211yesmaximal, characteristic
6C2×#11718724C211yesmaximal, characteristic, complemented
7C2×#11718752C211yesmaximal, characteristic, complemented
8C2×#11718727C211yesmaximal, characteristic
9C2×#11718689C211yesmaximal, characteristic
10C2×#11718689C211yesmaximal, characteristic
11C2×#11718692C211yesmaximal, characteristic, complemented
12C2×#11718685C211yesmaximal, characteristic, complemented
13C2×#11718691C211yesmaximal, characteristic, complemented
14C2×#11718687C211yesmaximal, characteristic
15C2×C4×#6107C211yesmaximal, characteristic, complemented
16C2×C13×#557C211yesmaximal, characteristic, complemented
17C13×#557—24no—
18C13×#557C2218yescomplemented
19C2×C13×C4⋊Q8—21no—
20C2×C13×C4⋊Q8C2211yescharacteristic
21C2×C13×#125—21no—
22C2×C13×#125—21no—
23C2×C13×#125C2211yescharacteristic
24C2×C13×#125C2211yescharacteristic
25C2×C4×Q8×C13—21no—
26C2×C4×Q8×C13C2211yescharacteristic
27C2×C4×Q8×C13C2211yescharacteristic
28C2×C4×Q8×C13C2211yescharacteristic
29C2×C4×Q8×C13C2211yescharacteristic
30C2×#88200—21no—
31C22×#6107C2211yescharacteristic
32C22×#6107C2211yescharacteristic
33C22×#6106C2211yescharacteristic
34#11719289—24no—
35#11719289C2218yes—
36C2×#88152—21no—
37C2×#88152—21no—
38C2×#88146—21no—
39C2×#88129C2211yescharacteristic
40C2×#88129C2211yescharacteristic
41C2×C4×D52C2211yescharacteristic
42C2×#88123C2211yescharacteristic
43C2×C4×Dic26C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C2×#88075C2211yescharacteristic
46#11718752C2218yescomplemented
47#11718750C2218yes—
48#11718730C2218yescomplemented
49#11718729C2218yes—
50#11718727C2218yes—
51#11718724C2218yescomplemented
52#11718692C2218yescomplemented
53#11718691C2218yescomplemented
54C4×#6107C2218yescomplemented
55#11718689C2218yes—
56#11718689C2218yes—
57#11718687C2218yes—
58#11718685C2218yescomplemented
59C2×#88050C2211yescharacteristic
60C2×#88050C2211yescharacteristic
61C2×#88050C2211yescharacteristic
62C2×#88050C2211yescharacteristic
63C2×#88050C2211yescharacteristic
64C2×#88050C2211yescharacteristic
65C2×#88049C2211yescharacteristic
66C2×#88049C2211yescharacteristic
67C2×#88049C2211yescharacteristic
68C2×#88048C2211yescharacteristic
69C2×#88047C2211yescharacteristic
70C2×#88047C2211yescharacteristic
71C2×C4⋊#1055C2211yescharacteristic
72C2×C4⋊#1055C2211yescharacteristic
73C2×C4⋊#1055C2211yescharacteristic
74C2×#88043C2211yescharacteristic
75C2×#88043C2211yescharacteristic
76C2×C4×#1055C2211yescharacteristic
77C22×Q8×C13—21no—
78C22×Q8×C13D411yescharacteristic
79C22×Q8×C13C2311yescharacteristic
80C22×D52C2311yescharacteristic
81C22×C4×D13—21no—
82C22×Dic26C2311yescharacteristic
83C22×Dic26C2311yescharacteristic
84C13×C4⋊Q8—28no—
85C13×C4⋊Q8—22no—
86C13×C4⋊Q8C2314yes—
87C13×#125—28no—
88C13×#125—28no—
89C13×#125—22no—
90C13×#125—22no—
91C13×#125C2314yes—
92C13×#125C2314yes—
93C4×Q8×C13—28no—
94C4×Q8×C13—22no—
95C4×Q8×C13—22no—
96C4×Q8×C13—22no—
97C4×Q8×C13D414yes—
98C4×Q8×C13C2314yes—
99C4×Q8×C13C2314yes—
100C4×Q8×C13C2314yes—
101C4×Q8×C13C2314yes—
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4—21no—
104C2×C13×C4⋊C4—21no—
105C2×C13×C4⋊C4—21no—
106C2×C13×C4⋊C4—21no—
107C2×C13×C4⋊C4—21no—
108C2×C13×C4⋊C4—21no—
109C2×C13×C4⋊C4—21no—
110C2×C13×C4⋊C4D411yescharacteristic
111C2×C13×C4⋊C4D411yescharacteristic
112C2×C13×C4⋊C4D411yescharacteristic
113C2×C13×C4⋊C4C2311yescharacteristic
114C2×C13×C4⋊C4C2311yescharacteristic
115C2×C13×C4⋊C4C2311yescharacteristic
116C2×C42×C13—21no—
117C2×C42×C13—21no—
118C2×C42×C13—21no—
119C2×C42×C13C2311yescharacteristic
120C2×C42×C13C2311yescharacteristic
121C2×C42×C13C2311yescharacteristic
122#88200—28no—
123C2×#6107—24no—
124C2×#6107—24no—
125C2×#6107C2314yes—
126C2×#6107C2314yes—
127C2×#6106—24no—
128C2×#6106C2314yes—
129C2×#6103—21no—
130C2×#6103—21no—
131C2×#6103—21no—
132C2×#6103—21no—
133C2×#6103—21no—
134C2×C4⋊Dic13—21no—
135C2×C4⋊Dic13—21no—
136C2×C4⋊Dic13C2311yescharacteristic
137C2×#6101—21no—
138C2×#6101—21no—
139C2×C4×Dic13—21no—
140C2×C4×Dic13—21no—
141C22×#1055C2311yescharacteristic
142C22×#1055C2311yescharacteristic
143C22×#1055C2311yescharacteristic
144C22×#1055C2311yescharacteristic
145#88152—28no—
146#88152—28no—
147#88146—28no—
148#88129—22no—
149#88129—22no—
150#88129C2314yes—
151#88129C2314yes—
152C4×D52—22no—
153C4×D52C2314yes—
154#88123—22no—
155#88123C2314yes—
156C4×Dic26—22no—
157C4×Dic26—22no—
158C4×Dic26C2314yes—
159C4×Dic26C2314yes—
160#88075C2314yes—
161#88050C2314yes—
162#88050C2314yes—
163#88050C2314yes—
164#88050C2314yes—
165#88050C2314yes—
166#88050C2314yes—
167#88049C2314yes—
168#88049C2314yes—
169#88049C2314yes—
170#88048C2314yes—
171#88047C2314yes—
172#88047C2314yes—
173C4⋊#1055C2314yes—
174C4⋊#1055C2314yes—
175C4⋊#1055C2314yes—
176#88043C2314yes—
177#88043C2314yes—
178C4×#1055C2314yes—
179C2×#3377—131nomaximal, Sylow
180C23×D13—21no—
181C2×Q8×C13—21no—
182C2×Q8×C13—24no—
183C2×Q8×C13—22no—
184C2×Q8×C13—42no—
185C2×Q8×C13—44no—
186C2×Q8×C13C2×D414yes—
187C2×Q8×C13#4114yes—
188C2×Q8×C13C2412yes—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—21no—
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2×D411yescharacteristic
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2411yescharacteristic
200C22×Dic13—21no—
201C22×Dic13—21no—
202C22×Dic13—21no—
203C2×D52—22no—
204C2×D52—22no—
205C2×D52—21no—
206C2×D52C2412yes—
207C2×C4×D13—24no—
208C2×C4×D13—44no—
209C2×Dic26—22no—
210C2×Dic26—22no—
211C2×Dic26—22no—
212C2×Dic26—22no—
213C2×Dic26—21no—
214C2×Dic26—21no—
215C2×Dic26C2412yes—
216C2×Dic26C2412yes—
217C13×C4⋊C4—24no—
218C13×C4⋊C4—24no—
219C13×C4⋊C4—24no—
220C13×C4⋊C4—24no—
221C13×C4⋊C4—24no—
222C13×C4⋊C4—24no—
223C13×C4⋊C4—24no—
224C13×C4⋊C4—24no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4C2×D414yes—
229C13×C4⋊C4C2×D414yes—
230C13×C4⋊C4C2×D414yes—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C4⋊C4C2412yes—
234C42×C13—24no—
235C42×C13—24no—
236C42×C13—24no—
237C42×C13C2×D412yes—
238C42×C13C2×D412yes—
239C42×C13C2×D412yes—
240C42×C13C2412yes—
241C42×C13C2412yes—
242C42×C13C2412yes—
243#6107—28no—
244#6107—28no—
245#6106—28no—
246#6103—24no—
247#6103—24no—
248#6103—24no—
249#6103—24no—
250#6103—24no—
251C4⋊Dic13—21no—
252C4⋊Dic13—24no—
253C4⋊Dic13—24no—
254C4⋊Dic13C2412yes—
255#6101—24no—
256#6101—24no—
257C4×Dic13—24no—
258C4×Dic13—24no—
259C2×#1055—22no—
260C2×#1055—22no—
261C2×#1055—22no—
262C2×#1055—22no—
263C2×#1055C2412yes—
264C2×#1055C2412yes—
265C2×#1055C2412yes—
266C2×#1055C2412yes—
267C2×#557D1311yescharacteristic, complemented
268C2×#556—131no—
269#3377—1316no—
270C2×#491—131no—
271C2×#489—131no—
272C2×#488—131no—
273C2×#479—131no—
274C2×#477—131no—
275C2×#478—131no—
276C2×#464—131no—
277C2×#464—131no—
278C2×#462—131no—
279C2×#446—131no—
280C2×#441—131no—
281C2×#440—131no—
282C2×C4×Q16—131no—
283C23×C13C22×D411yescharacteristic
284C22×D13—22no—
285C22×D13—42no—
286C22×D13—42no—
287C22×D13—42no—
288Q8×C13—24no—
289Q8×C13—22no—
290Q8×C13—44no—
291Q8×C13—48no—
292Q8×C13C2×#4114yes—
293C2×C4×C13—24no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13—42no—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D412yes—
309C2×C4×C13C22×D412yes—
310C2×C4×C13C22×D412yes—
311C2×C4×C13C22×D412yes—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D411yescharacteristic
314C2×C4×C13C2×#4112yes—
315C2×C4×C132−1+412yes—
316C2×C4×C13C2511yescharacteristic
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323D52—22no—
324D52—22no—
325D52—42no—
326C4×D13—48no—
327Dic26—22no—
328Dic26—22no—
329Dic26—22no—
330Dic26—22no—
331Dic26—42no—
332Dic26—42no—
333#1055—22no—
334#1055—22no—
335#1055—22no—
336#1055—22no—
337C22×Q16—131no—
338C22×Q16—131no—
339C22×SD16—131no—
340#557—24no—
341#557C2×D1318yescomplemented
342#556—138no—
343#556—264no—
344C2×C4⋊Q8—21no—
345C2×C4⋊Q8—131no—
346C2×C4⋊Q8C2×D1311yescharacteristic
347C2×#126—261no—
348C2×#126—261no—
349C2×#125—21no—
350C2×#125—21no—
351C2×#125C2×D1311yescharacteristic
352C2×#125C2×D1311yescharacteristic
353C2×#124—131no—
354C2×#124—131no—
355C2×C22⋊Q8—261no—
356C2×C4×Q8—21no—
357C2×C4×Q8—131no—
358C2×C4×Q8—131no—
359C2×C4×Q8C2×D1311yescharacteristic
360C2×C4×Q8C2×D1311yescharacteristic
361C2×C4×Q8C2×D1311yescharacteristic
362C2×C4×Q8C2×D1311yescharacteristic
363C2×C4×D4—131no—
364C2×#117—261no—
365#491—138no—
366#489—138no—
367#488—138no—
368#479—138no—
369#478—138no—
370#477—138no—
371#464—138no—
372#464—138no—
373#462—138no—
374#446—138no—
375#441—138no—
376#440—138no—
377C4×Q16—138no—
378C2×#107—131no—
379C2×#107—131no—
380C2×#106—131no—
381C2×C4⋊C8—131no—
382C2×C4⋊C8—131no—
383C2×C4⋊C8—131no—
384C2×#103—131no—
385C2×#103—131no—
386C2×#103—131no—
387C2×#103—131no—
388C2×#103—131no—
389C2×#103—131no—
390C2×#103—131no—
391C2×#102—131no—
392C2×#102—131no—
393C2×#102—131no—
394C2×#97—131no—
395C2×#97—131no—
396C2×C4×C8—131no—
397C22×C13#54812yes—
398C22×C13#57512yes—
399C22×C13#57812yes—
400C22×C13C23×D411yescharacteristic
401C2×D13—42no—
402C2×D13—42no—
403C2×D13—42no—
404C2×D13—84no—
405C4×C13—24no—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—22no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13#54812yes—
416C4×C13C22×#4111yescharacteristic
417C4×C13C2×2−1+411yescharacteristic
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8—21no—
422C22×Q8—131no—
423C22×Q8—131no—
424C22×Q8C22⋊D1311yescharacteristic
425C22×Q8C22×D1311yescharacteristic
426C22×D4—131no—
427C23×C4—261no—
428C2×Q16—134no—
429C2×Q16—134no—
430C2×Q16—264no—
431C2×Q16—264no—
432C2×SD16—134no—
433C2×SD16—264no—
434C22×C8—131no—
435C22×C8—131no—
436C22×C8—131no—
437C22×C8—131no—
438C4⋊Q8—28no—
439C4⋊Q8—22no—
440C4⋊Q8—134no—
441C4⋊Q8—262no—
442C4⋊Q8C22×D1314yes—
443#126—268no—
444#126—268no—
445#125—28no—
446#125—28no—
447#125—22no—
448#125—22no—
449#125C22×D1314yes—
450#125C22×D1314yes—
451#124—134no—
452#124—134no—
453#124—262no—
454#124—262no—
455C22⋊Q8—268no—
456C4×Q8—28no—
457C4×Q8—22no—
458C4×Q8—22no—
459C4×Q8—22no—
460C4×Q8—134no—
461C4×Q8—134no—
462C4×Q8—262no—
463C4×Q8—262no—
464C4×Q8C22⋊D1314yes—
465C4×Q8C22×D1314yes—
466C4×Q8C22×D1314yes—
467C4×Q8C22×D1314yes—
468C4×Q8C22×D1314yes—
469C4×D4—134no—
470C4×D4—262no—
471#117—268no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—261no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4C22⋊D1311yescharacteristic
486C2×C4⋊C4C22⋊D1311yescharacteristic
487C2×C4⋊C4C22⋊D1311yescharacteristic
488C2×C4⋊C4C22×D1311yescharacteristic
489C2×C4⋊C4C22×D1311yescharacteristic
490C2×C4⋊C4C22×D1311yescharacteristic
491C2×C22⋊C4—261no—
492C2×C22⋊C4—261no—
493C2×C22⋊C4—261no—
494C2×C22⋊C4—261no—
495C2×C22⋊C4—261no—
496C2×C42—21no—
497C2×C42—21no—
498C2×C42—21no—
499C2×C42—261no—
500C2×C42—261no—
501C2×C42C22×D1311yescharacteristic
502C2×C42C22×D1311yescharacteristic
503C2×C42C22×D1311yescharacteristic
504#107—134no—
505#107—134no—
506#106—134no—
507C4⋊C8—134no—
508C4⋊C8—134no—
509C4⋊C8—134no—
510#103—134no—
511#103—134no—
512#103—134no—
513#103—134no—
514#103—134no—
515#103—134no—
516#103—134no—
517#102—134no—
518#102—134no—
519#102—134no—
520#97—134no—
521#97—134no—
522C4×C8—134no—
523C2×C13#337714yescomplemented
524C2×C13C2×#54811yescharacteristic
525C2×C13C2×#57511yescharacteristic
526C2×C13C2×#57811yescharacteristic
527D13—82no—
528C24—261no—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—24no—
532C2×Q8—42no—
533C2×Q8—44no—
534C2×Q8—132no—
535C2×Q8—132no—
536C2×Q8—261no—
537C2×Q8—261no—
538C2×Q8—262no—
539C2×Q8—262no—
540C2×Q8—262no—
541C2×Q8—262no—
542C2×Q8#613114yes—
543C2×Q8C2×C22⋊D1314yes—
544C2×Q8C23×D1312yes—
545C2×D4—132no—
546C2×D4—262no—
547C2×D4—262no—
548C2×D4—261no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—264no—
557C22×C4—524no—
558C22×C4C2×C22⋊D1311yescharacteristic
559C22×C4C2×C22⋊D1311yescharacteristic
560C22×C4C2×C22⋊D1311yescharacteristic
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C2×C22⋊D1311yescharacteristic
563C22×C4C2×C22⋊D1311yescharacteristic
564C22×C4C23×D1311yescharacteristic
565Q16—268no—
566Q16—268no—
567SD16—268no—
568C2×C8—132no—
569C2×C8—132no—
570C2×C8—132no—
571C2×C8—132no—
572C2×C8—262no—
573C2×C8—262no—
574C2×C8—262no—
575C2×C8—262no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—132no—
588C4⋊C4—261no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4C2×C22⋊D1314yes—
594C4⋊C4C2×C22⋊D1314yes—
595C4⋊C4C2×C22⋊D1314yes—
596C4⋊C4C23×D1312yes—
597C4⋊C4C23×D1312yes—
598C4⋊C4C23×D1312yes—
599C22⋊C4—264no—
600C22⋊C4—264no—
601C22⋊C4—264no—
602C22⋊C4—264no—
603C22⋊C4—264no—
604C42—24no—
605C42—24no—
606C42—24no—
607C42—264no—
608C42—264no—
609C42C2×C22⋊D1312yes—
610C42C2×C22⋊D1312yes—
611C42C2×C22⋊D1312yes—
612C42C23×D1312yes—
613C42C23×D1312yes—
614C42C23×D1312yes—
615C13C2×#337711yescharacteristic, complemented, Sylow
616C23—262no—
617C23—522no—
618C23—522no—
619C23—522no—
620C23C22×C22⋊D1311yescharacteristic
621Q8—24no—
622Q8—22no—
623Q8—44no—
624Q8—48no—
625Q8—262no—
626Q8—262no—
627Q8—262no—
628Q8—262no—
629Q8—522no—
630Q8—522no—
631Q8C2×#613114yes—
632D4—262no—
633D4—262no—
634D4—522no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
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—262no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—528no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4C2×#613112yes—
657C2×C4#8825412yes—
658C2×C4C22×C22⋊D1312yes—
659C2×C4C22×C22⋊D1312yes—
660C2×C4C22×C22⋊D1312yes—
661C2×C4C22×C22⋊D1312yes—
662C2×C4C22×C22⋊D1312yes—
663C2×C4C22×C22⋊D1312yes—
664C2×C4C22×C22⋊D1311yescharacteristic
665C2×C4C24×D1311yescharacteristic
666C8—262no—
667C8—262no—
668C8—262no—
669C8—262no—
670C22—522no—
671C22—522no—
672C22—522no—
673C22—1044no—
674C22#1171952212yes—
675C22#1171952712yes—
676C22#1171954312yes—
677C22C23×C22⋊D1311yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—24no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—522no—
689C4—522no—
690C4—522no—
691C4#1171952212yes—
692C4C22×#613111yescharacteristic
693C4C2×#8825411yescharacteristic
694C2—1042no—
695C2#1312767814yesdirect product factor
696C2C2×#1171952211yescharacteristic
697C2C2×#1171952711yescharacteristic
698C2C2×#1171954311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#557C2
socleC23×C13C22×D4
prime radicalC22×D52C23
hypercenterC2×#557D13
hypocenterC13C2×#3377
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
2. #13127678C2direct (N × H)
3. C2×#11718730C2semidirect
6. C2×#11718724C2semidirect
7. C2×#11718752C2semidirect
11. C2×#11718692C2semidirect
12. C2×#11718685C2semidirect
13. C2×#11718691C2semidirect
15. C2×C4×#6107C2semidirect
16. C2×C13×#557C2semidirect
18. C13×#557C22semidirect
46. #11718752C22semidirect
48. #11718730C22semidirect
51. #11718724C22semidirect
52. #11718692C22semidirect
53. #11718691C22semidirect
54. C4×#6107C22semidirect
58. #11718685C22semidirect
267. C2×#557D13semidirect
341. #557C2×D13semidirect
523. C2×C13#3377semidirect
615. C13C2×#3377semidirect
695. C2#13127678direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192892
#131276782
C2×#117187302
C2×#117187502
C2×#117187292
C2×#117187242
C2×#117187522
C2×#117187272
C2×#117186892
C2×#117186922
C2×#117186852
C2×#117186912
C2×#117186872
C2×C4×#61072
C2×C13×#5572
C2×#337713