Finite Group Databasebeta

← C2×#13126119 #16735140

Subgroups — C2×#13126119 #16735140

Order 3328.

1742 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×#11719239C211yesmaximal, characteristic
2#13126119C2116yesmaximal, direct product factor
3C2×#11718726C211yesmaximal, characteristic, complemented
4C2×#11718739C211yesmaximal, characteristic, complemented
5C2×#11718750C211yesmaximal, characteristic, complemented
6C2×#11718729C211yesmaximal, characteristic, complemented
7C2×#11718631C211yesmaximal, characteristic, complemented
8C2×#11718657C211yesmaximal, characteristic, complemented
9C2×#11718664C211yesmaximal, characteristic
10C2×#11718628C211yesmaximal, characteristic
11C2×#11718724C211yesmaximal, characteristic, complemented
12C2×#11718752C211yesmaximal, characteristic, complemented
13C2×#11718727C211yesmaximal, characteristic, complemented
14C2×#11718748C211yesmaximal, characteristic, complemented
15C2×#11718661C211yesmaximal, characteristic, complemented
16C2×C13×#544C211yesmaximal, characteristic, complemented
17C13×#544—24no—
18C13×#544C2218yescomplemented
19C2×C13×C4⋊Q8—21no—
20C2×C13×C4⋊Q8C2211yescharacteristic
21C2×C13×C4⋊Q8C2211yescharacteristic
22C2×C13×#125—21no—
23C2×C13×#125C2211yescharacteristic
24C2×C13×#125C2211yescharacteristic
25C2×C13×C22⋊Q8—21no—
26C2×C13×C22⋊Q8—21no—
27C2×C13×#117C2211yescharacteristic
28C2×C13×#117C2211yescharacteristic
29C22×C13×C4⋊C4C2211yescharacteristic
30C2×#88184C2211yescharacteristic
31C2×#88178C2211yescharacteristic
32#11719239—24no—
33#11719239C2218yes—
34C2×#88152—21no—
35C2×#88150—21no—
36C2×#88139—21no—
37C2×#88137—21no—
38C2×#88129C2211yescharacteristic
39C2×C4×D52C2211yescharacteristic
40C2×#88123C2211yescharacteristic
41C2×C4×Dic26C2211yescharacteristic
42C2×C22⋊#1055C2211yescharacteristic
43C2×C22⋊#1055C2211yescharacteristic
44#11718752C2218yescomplemented
45#11718750C2218yescomplemented
46#11718748C2218yescomplemented
47#11718739C2218yescomplemented
48#11718729C2218yescomplemented
49#11718727C2218yescomplemented
50#11718726C2218yescomplemented
51#11718724C2218yescomplemented
52#11718664C2218yes—
53#11718661C2218yescomplemented
54#11718657C2218yescomplemented
55#11718631C2218yescomplemented
56C2×#88050C2211yescharacteristic
57C2×#88050C2211yescharacteristic
58C2×#88050C2211yescharacteristic
59C2×#88050C2211yescharacteristic
60#11718628C2218yes—
61C2×#88049C2211yescharacteristic
62C2×#88049C2211yescharacteristic
63C2×#88049C2211yescharacteristic
64C2×#88049C2211yescharacteristic
65C2×#88048C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88047C2211yescharacteristic
68C2×#88047C2211yescharacteristic
69C2×#88047C2211yescharacteristic
70C2×#88047C2211yescharacteristic
71C2×#88047C2211yescharacteristic
72C2×#88047C2211yescharacteristic
73C2×C4⋊#1055C2211yescharacteristic
74C2×C4⋊#1055C2211yescharacteristic
75C2×#88043C2211yescharacteristic
76C2×C4×#1055C2211yescharacteristic
77C22×Q8×C13—21no—
78C22×Q8×C13—21no—
79C23×C4×C13—21no—
80C23×C4×C13C2311yescharacteristic
81C22×C22⋊D13—21no—
82C22×D52C2311yescharacteristic
83C22×C4×D13—21no—
84C22×Dic26—21no—
85C22×Dic26C2311yescharacteristic
86C13×C4⋊Q8—28no—
87C13×C4⋊Q8—22no—
88C13×C4⋊Q8—22no—
89C13×C4⋊Q8C2314yes—
90C13×C4⋊Q8C2314yes—
91C13×#125—28no—
92C13×#125—22no—
93C13×#125—22no—
94C13×#125C2314yes—
95C13×#125C2314yes—
96C13×C22⋊Q8—28no—
97C13×C22⋊Q8—28no—
98C13×#117—22no—
99C13×#117D414yes—
100C13×#117C2314yes—
101C13×#117C2314yes—
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4—22no—
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⋊C4C2311yescharacteristic
113C2×C13×C4⋊C4C2311yescharacteristic
114C2×C13×C4⋊C4C2314yes—
115C2×C13×C4⋊C4C2311yescharacteristic
116C2×C13×C4⋊C4C2311yescharacteristic
117C2×C13×C22⋊C4—21no—
118C2×C13×C22⋊C4D411yescharacteristic
119C2×C13×C22⋊C4D411yescharacteristic
120C2×C42×C13—21no—
121C2×C42×C13C2311yescharacteristic
122C2×C42×C13C2311yescharacteristic
123C2×C22⋊Dic13—21no—
124#88184—22no—
125#88184C2314yes—
126C2×#6103—21no—
127C2×#6103—21no—
128C2×#6103—21no—
129C2×#6103—21no—
130C2×C4⋊Dic13—21no—
131C2×C4⋊Dic13C2311yescharacteristic
132C2×C4⋊Dic13C2311yescharacteristic
133#88178—22no—
134#88178C2314yes—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×C4×Dic13—21no—
138C22×#1055C2311yescharacteristic
139C22×#1055C2311yescharacteristic
140C22×#1055C2311yescharacteristic
141C22×#1055C2311yescharacteristic
142#88152—28no—
143#88150—28no—
144#88139—28no—
145#88137—28no—
146#88129—22no—
147#88129C2314yes—
148C4×D52—22no—
149C4×D52C2314yes—
150#88123—22no—
151#88123C2314yes—
152C4×Dic26—22no—
153C4×Dic26C2314yes—
154C22⋊#1055C2314yes—
155C22⋊#1055C2314yes—
156#88050C2314yes—
157#88050C2314yes—
158#88050C2314yes—
159#88050C2314yes—
160#88049C2314yes—
161#88049C2314yes—
162#88049C2314yes—
163#88049C2314yes—
164#88048C2314yes—
165#88048C2314yes—
166#88047C2314yes—
167#88047C2314yes—
168#88047C2314yes—
169#88047C2314yes—
170#88047C2314yes—
171#88047C2314yes—
172C4⋊#1055C2314yes—
173C4⋊#1055C2314yes—
174#88043C2314yes—
175C4×#1055C2314yes—
176C2×#3243—131nomaximal, Sylow
177C24×C13C2×D411yescharacteristic
178C23×D13—21no—
179C2×Q8×C13—24no—
180C2×Q8×C13—24no—
181C2×Q8×C13—82no—
182C2×Q8×C13—82no—
183C22×C4×C13—22no—
184C22×C4×C13—22no—
185C22×C4×C13—21no—
186C22×C4×C13—21no—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—24no—
190C22×C4×C13—82no—
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D412yes—
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2412yes—
198C22×C4×C13C2411yescharacteristic
199C2×C22⋊D13—24no—
200C2×C22⋊D13—82no—
201C22×Dic13—21no—
202C22×Dic13—21no—
203C22×Dic13—21no—
204C2×D52—22no—
205C2×D52—22no—
206C2×D52—21no—
207C2×D52C2412yes—
208C2×C4×D13—24no—
209C2×C4×D13—82no—
210C2×Dic26—22no—
211C2×Dic26—22no—
212C2×Dic26—21no—
213C2×Dic26—24no—
214C2×Dic26—82no—
215C2×Dic26C2412yes—
216C13×C4⋊C4—24no—
217C13×C4⋊C4—21no—
218C13×C4⋊C4—21no—
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⋊C4C2×D414yes—
228C13×C4⋊C4C2×D414yes—
229C13×C4⋊C4C2412yes—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C22⋊C4—24no—
234C13×C22⋊C4C2×D414yes—
235C13×C22⋊C4C2×D414yes—
236C42×C13—24no—
237C42×C13C2×D412yes—
238C42×C13C2×D412yes—
239C42×C13C2412yes—
240C42×C13C2412yes—
241C22⋊Dic13—24no—
242#6103—24no—
243#6103—24no—
244#6103—24no—
245#6103—24no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13—24no—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251#6101—24no—
252#6101—24no—
253C4×Dic13—24no—
254C2×#1055—22no—
255C2×#1055—22no—
256C2×#1055—22no—
257C2×#1055—22no—
258C2×#1055C2412yes—
259C2×#1055C2412yes—
260C2×#1055C2412yes—
261C2×#1055C2412yes—
262C2×#544D1311yescharacteristic, complemented
263C2×#542—131no—
264#3243—1316no—
265C2×#501—131no—
266C2×#500—131no—
267C2×#489—131no—
268C2×#488—131no—
269C2×#484—131no—
270C2×#485—131no—
271C2×#482—131no—
272C2×#480—131no—
273C2×#479—131no—
274C2×#477—131no—
275C2×#478—131no—
276C2×#474—131no—
277C2×#433—131no—
278C23×C13—22no—
279C23×C13—22no—
280C23×C13—22no—
281C23×C13C22×D412yes—
282C23×C13C22×D411yescharacteristic
283C22×D13—22no—
284C22×D13—42no—
285C22×D13—42no—
286C22×D13—42no—
287Q8×C13—84no—
288Q8×C13—84no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—24no—
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—42no—
302C2×C4×C13—42no—
303C2×C4×C13—42no—
304C2×C4×C13—42no—
305C2×C4×C13—84no—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D412yes—
309C2×C4×C13C22×D412yes—
310C2×C4×C13C22×D412yes—
311C2×C4×C13C22×D411yescharacteristic
312C2×C4×C132−1+412yes—
313C2×C4×C132−1+412yes—
314C2×C4×C13C2511yescharacteristic
315C22⋊D13—84no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322D52—22no—
323D52—22no—
324D52—42no—
325C4×D13—84no—
326Dic26—22no—
327Dic26—22no—
328Dic26—42no—
329Dic26—84no—
330#1055—22no—
331#1055—22no—
332#1055—22no—
333#1055—22no—
334#544—24no—
335#544C2×D1318yescomplemented
336#542—138no—
337#542—264no—
338C2×C4⋊Q8—21no—
339C2×C4⋊Q8—131no—
340C2×C4⋊Q8C2×D1311yescharacteristic
341C2×C4⋊Q8C2×D1311yescharacteristic
342C2×#126—261no—
343C2×#125—21no—
344C2×#125C2×D1311yescharacteristic
345C2×#125C2×D1311yescharacteristic
346C2×#124—131no—
347C2×#124—261no—
348C2×#123—261no—
349C2×C22⋊Q8—21no—
350C2×C22⋊Q8—21no—
351C2×C22⋊Q8—131no—
352C2×C22⋊Q8—261no—
353C2×#121—131no—
354C2×C4×Q8—131no—
355C2×C4×D4—131no—
356C2×#117C2×D1311yescharacteristic
357C2×#117C2×D1311yescharacteristic
358C22×C4⋊C4C2×D1311yescharacteristic
359#501—138no—
360#500—138no—
361#489—138no—
362#488—138no—
363#485—138no—
364#484—138no—
365#482—138no—
366#480—138no—
367#479—138no—
368#478—138no—
369#477—138no—
370#474—138no—
371#433—138no—
372C2×#107—131no—
373C2×#107—131no—
374C2×#107—131no—
375C2×#107—131no—
376C2×#107—131no—
377C2×#107—131no—
378C2×#106—131no—
379C2×#106—131no—
380C2×C4⋊C8—131no—
381C2×C4⋊C8—131no—
382C2×#103—131no—
383C2×#103—131no—
384C2×#103—131no—
385C2×#103—131no—
386C2×#102—131no—
387C2×#102—131no—
388C2×#102—131no—
389C2×#102—131no—
390C2×C22⋊C8—131no—
391C2×C22⋊C8—131no—
392C2×#97—131no—
393C2×C4×C8—131no—
394C22×C13—22no—
395C22×C13—22no—
396C22×C13—22no—
397C22×C13—44no—
398C22×C13#53612yes—
399C22×C13#57612yes—
400C22×C13#57812yes—
401C22×C13C23×D411yescharacteristic
402C2×D13—42no—
403C2×D13—42no—
404C2×D13—42no—
405C2×D13—84no—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13#53612yes—
416C4×C13C2×2−1+411yescharacteristic
417C4×C13C2×2−1+411yescharacteristic
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8—21no—
422C22×Q8—21no—
423C22×Q8—131no—
424C22×Q8—261no—
425C22×D4—131no—
426C22×D4—261no—
427C23×C4—21no—
428C23×C4—261no—
429C23×C4C22×D1311yescharacteristic
430C22×C8—131no—
431C22×C8—131no—
432C22×C8—131no—
433C22×C8—131no—
434C4⋊Q8—28no—
435C4⋊Q8—22no—
436C4⋊Q8—22no—
437C4⋊Q8—134no—
438C4⋊Q8—262no—
439C4⋊Q8C22×D1314yes—
440C4⋊Q8C22×D1314yes—
441#126—268no—
442#125—28no—
443#125—22no—
444#125—22no—
445#125C22×D1314yes—
446#125C22×D1314yes—
447#124—134no—
448#124—268no—
449#124—262no—
450#123—268no—
451C22⋊Q8—28no—
452C22⋊Q8—28no—
453C22⋊Q8—134no—
454C22⋊Q8—262no—
455C22⋊Q8—268no—
456#121—134no—
457#121—262no—
458C4×Q8—134no—
459C4×Q8—262no—
460C4×D4—134no—
461C4×D4—262no—
462#117—22no—
463#117C22⋊D1314yes—
464#117C22×D1314yes—
465#117C22×D1314yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—22no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—131no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4—261no—
478C2×C4⋊C4—261no—
479C2×C4⋊C4C22⋊D1311yescharacteristic
480C2×C4⋊C4C22⋊D1311yescharacteristic
481C2×C4⋊C4C22×D1311yescharacteristic
482C2×C4⋊C4C22×D1311yescharacteristic
483C2×C4⋊C4C22×D1314yes—
484C2×C4⋊C4C22×D1311yescharacteristic
485C2×C4⋊C4C22×D1311yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—261no—
488C2×C22⋊C4—261no—
489C2×C22⋊C4—261no—
490C2×C22⋊C4—261no—
491C2×C22⋊C4—261no—
492C2×C22⋊C4C22⋊D1311yescharacteristic
493C2×C22⋊C4C22⋊D1311yescharacteristic
494C2×C42—21no—
495C2×C42—261no—
496C2×C42C22×D1311yescharacteristic
497C2×C42C22×D1311yescharacteristic
498#107—134no—
499#107—134no—
500#107—134no—
501#107—134no—
502#107—134no—
503#107—134no—
504#106—134no—
505#106—134no—
506C4⋊C8—134no—
507C4⋊C8—134no—
508#103—134no—
509#103—134no—
510#103—134no—
511#103—134no—
512#102—134no—
513#102—134no—
514#102—134no—
515#102—134no—
516C22⋊C8—134no—
517C22⋊C8—134no—
518#97—134no—
519C4×C8—134no—
520C2×C13—42no—
521C2×C13#324314yescomplemented
522C2×C13C2×#53611yescharacteristic
523C2×C13C2×#57611yescharacteristic
524C2×C13C2×#57811yescharacteristic
525D13—82no—
526C24—261no—
527C24C2×C22⋊D1311yescharacteristic
528C2×Q8—24no—
529C2×Q8—24no—
530C2×Q8—82no—
531C2×Q8—82no—
532C2×Q8—132no—
533C2×Q8—261no—
534C2×Q8—264no—
535C2×Q8—262no—
536C2×Q8—262no—
537C2×Q8—1042no—
538C2×D4—132no—
539C2×D4—264no—
540C2×D4—262no—
541C2×D4—262no—
542C2×D4—261no—
543C2×D4—1042no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—82no—
552C22×C4—261no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—264no—
556C22×C4—1042no—
557C22×C4C2×C22⋊D1312yes—
558C22×C4C2×C22⋊D1311yescharacteristic
559C22×C4C2×C22⋊D1311yescharacteristic
560C22×C4C2×C22⋊D1311yescharacteristic
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C2×C22⋊D1311yescharacteristic
563C22×C4C23×D1312yes—
564C22×C4C23×D1311yescharacteristic
565C2×C8—132no—
566C2×C8—132no—
567C2×C8—132no—
568C2×C8—132no—
569C2×C8—262no—
570C2×C8—262no—
571C2×C8—262no—
572C2×C8—262no—
573C4⋊C4—24no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—132no—
585C4⋊C4—132no—
586C4⋊C4—261no—
587C4⋊C4—261no—
588C4⋊C4—264no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4C2×C22⋊D1314yes—
592C4⋊C4C2×C22⋊D1314yes—
593C4⋊C4C23×D1312yes—
594C4⋊C4C23×D1312yes—
595C4⋊C4C23×D1312yes—
596C4⋊C4C23×D1312yes—
597C22⋊C4—24no—
598C22⋊C4—264no—
599C22⋊C4—264no—
600C22⋊C4—264no—
601C22⋊C4—264no—
602C22⋊C4—264no—
603C22⋊C4C2×C22⋊D1314yes—
604C22⋊C4C2×C22⋊D1314yes—
605C42—24no—
606C42—264no—
607C42C2×C22⋊D1312yes—
608C42C2×C22⋊D1312yes—
609C42C23×D1312yes—
610C42C23×D1312yes—
611C13C2×#324311yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—262no—
616C23—522no—
617C23—522no—
618C23—522no—
619C23C22×C22⋊D1312yes—
620C23C22×C22⋊D1311yescharacteristic
621Q8—84no—
622Q8—84no—
623Q8—262no—
624Q8—262no—
625Q8—522no—
626Q8—1044no—
627D4—262no—
628D4—262no—
629D4—522no—
630D4—1044no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—84no—
648C2×C4—262no—
649C2×C4—262no—
650C2×C4—262no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—522no—
654C2×C4—1044no—
655C2×C4#8825412yes—
656C2×C4#8825412yes—
657C2×C4C22×C22⋊D1312yes—
658C2×C4C22×C22⋊D1312yes—
659C2×C4C22×C22⋊D1312yes—
660C2×C4C22×C22⋊D1312yes—
661C2×C4C22×C22⋊D1312yes—
662C2×C4C22×C22⋊D1311yescharacteristic
663C2×C4C24×D1311yescharacteristic
664C8—262no—
665C8—262no—
666C8—262no—
667C8—262no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—522no—
673C22—522no—
674C22—522no—
675C22—1044no—
676C22#1171952112yes—
677C22#1171954012yes—
678C22#1171954312yes—
679C22C23×C22⋊D1311yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—522no—
690C4—522no—
691C4—522no—
692C4#1171952112yes—
693C4C2×#8825411yescharacteristic
694C4C2×#8825411yescharacteristic
695C2—42no—
696C2—1042no—
697C2#1312611914yesdirect product factor
698C2C2×#1171952111yescharacteristic
699C2C2×#1171954011yescharacteristic
700C2C2×#1171954311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#544C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
hypercenterC2×#544D13
hypocenterC13C2×#3243
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
2. #13126119C2direct (N × H)
3. C2×#11718726C2semidirect
4. C2×#11718739C2semidirect
5. C2×#11718750C2semidirect
6. C2×#11718729C2semidirect
7. C2×#11718631C2semidirect
8. C2×#11718657C2semidirect
11. C2×#11718724C2semidirect
12. C2×#11718752C2semidirect
13. C2×#11718727C2semidirect
14. C2×#11718748C2semidirect
15. C2×#11718661C2semidirect
16. C2×C13×#544C2semidirect
18. C13×#544C22semidirect
44. #11718752C22semidirect
45. #11718750C22semidirect
46. #11718748C22semidirect
47. #11718739C22semidirect
48. #11718729C22semidirect
49. #11718727C22semidirect
50. #11718726C22semidirect
51. #11718724C22semidirect
53. #11718661C22semidirect
54. #11718657C22semidirect
55. #11718631C22semidirect
262. C2×#544D13semidirect
335. #544C2×D13semidirect
521. C2×C13#3243semidirect
611. C13C2×#3243semidirect
697. C2#13126119direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192392
#131261192
C2×#117187262
C2×#117187392
C2×#117187502
C2×#117187292
C2×#117186312
C2×#117186572
C2×#117186642
C2×#117186282
C2×#117187242
C2×#117187522
C2×#117187272
C2×#117187482
C2×#117186612
C2×C13×#5442
C2×#324313