Finite Group Databasebeta

← C2×#13127760 #16743423

Subgroups — C2×#13127760 #16743423

Order 3328.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719274C211yesmaximal, characteristic, complemented
2C2×#11719432C211yesmaximal, characteristic
3#13127760C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718741C211yesmaximal, characteristic, complemented
6C2×#11718535C211yesmaximal, characteristic, complemented
7C2×#11718455C211yesmaximal, characteristic, complemented
8C2×#11718452C211yesmaximal, characteristic, complemented
9C2×#11718552C211yesmaximal, characteristic
10C2×#11718508C211yesmaximal, characteristic
11C2×#11718551C211yesmaximal, characteristic
12C2×#11718489C211yesmaximal, characteristic, complemented
13C2×#11718478C211yesmaximal, characteristic
14C2×#11718687C211yesmaximal, characteristic
15C2×#11718449C211yesmaximal, characteristic
16C2×C13×#477C211yesmaximal, characteristic, complemented
17C22×Q8×D13—21no—
18C2×C13×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20C2×#88200—21no—
21C2×Q8×Dic13C2211yescharacteristic
22C2×Q8×Dic13C2211yescharacteristic
23C22×#6106C2211yescharacteristic
24#11719432—24no—
25#11719432C2218yes—
26#11719274—24no—
27#11719274C2218yescomplemented
28C2×#88150—21no—
29C2×#88150—21no—
30C2×#88147C2211yescharacteristic
31C2×#88147C2211yescharacteristic
32C2×#88144—21no—
33C2×#88144C2211yescharacteristic
34C2×#88142—21no—
35C2×#88142C2211yescharacteristic
36C2×#88142C2211yescharacteristic
37C2×#88142C2211yescharacteristic
38C2×C4×D52C2211yescharacteristic
39C2×#88124—21no—
40C2×#88124C2211yescharacteristic
41C2×C4×Dic26—21no—
42C2×C4×Dic26C2211yescharacteristic
43C13×#477C2218yescomplemented
44C2×C13×#107C2211yescharacteristic
45C2×C13×#107C2211yescharacteristic
46C2×C13×C4⋊C8C2211yescharacteristic
47C2×C13×#103C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×#88075C2211yescharacteristic
50C2×#88061C2211yescharacteristic
51C2×#88061C2211yescharacteristic
52C2×#88058C2211yescharacteristic
53C2×#88057C2211yescharacteristic
54C2×#88055C2211yescharacteristic
55C2×#88054C2211yescharacteristic
56C2×#88054C2211yescharacteristic
57C2×C8×Dic13C2211yescharacteristic
58#11718741C2218yescomplemented
59#11718687C2218yes—
60C2×#88049C2211yescharacteristic
61C2×#88048C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88047C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×#88043C2211yescharacteristic
67#11718552C2218yes—
68#11718551C2218yes—
69#11718537C2218yescomplemented
70#11718535C2218yescomplemented
71#11718508C2218yes—
72#11718489C2218yescomplemented
73#11718478C2218yes—
74#11718455C2218yescomplemented
75#11718452C2218yescomplemented
76#11718449C2218yes—
77C22×Q8×C13—21no—
78C22×Q8×C13C2311yescharacteristic
79C2×Q8×D13—28no—
80C2×Q8×D13—48no—
81C22×D52C2311yescharacteristic
82C22×C4×D13—21no—
83C22×C4×D13—21no—
84C22×C4×D13—21no—
85C22×Dic26—21no—
86C22×Dic26—21no—
87C22×Dic26—21no—
88C22×Dic26D411yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C13×C4⋊Q8—22no—
92C13×C4⋊Q8C2314yes—
93C4×Q8×C13—22no—
94C4×Q8×C13C2314yes—
95C2×C13×C4⋊C4—21no—
96C2×C13×C4⋊C4—21no—
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C42×C13—21no—
101C2×C42×C13C2311yescharacteristic
102#88200—28no—
103Q8×Dic13—22no—
104Q8×Dic13—22no—
105Q8×Dic13C2314yes—
106Q8×Dic13C2314yes—
107C2×#6106Q818yescomplemented
108C2×#6106C2314yes—
109C2×#6103—21no—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13D411yescharacteristic
116C2×C4⋊Dic13C2311yescharacteristic
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101D411yescharacteristic
126C2×#6101D411yescharacteristic
127C2×C4×Dic13—21no—
128C2×C4×Dic13—21no—
129C2×C4×Dic13C2311yescharacteristic
130C2×C4×Dic13C2311yescharacteristic
131C22×#1055C2311yescharacteristic
132C22×#1055C2311yescharacteristic
133#88150—28no—
134#88150—28no—
135#88147—22no—
136#88147—22no—
137#88147C2314yes—
138#88147C2314yes—
139#88144—28no—
140#88144—22no—
141#88144C2314yes—
142#88142—28no—
143#88142—22no—
144#88142—22no—
145#88142—22no—
146#88142C2314yes—
147#88142C2314yes—
148#88142C2314yes—
149C4×D52—22no—
150C4×D52C2314yes—
151#88124—22no—
152#88124—28no—
153#88124C2314yes—
154C4×Dic26—28no—
155C4×Dic26D414yes—
156C4×Dic26C2314yes—
157C13×#107C2314yes—
158C13×#107C2314yes—
159C13×C4⋊C8C2314yes—
160C13×#103C2314yes—
161C13×#103C2314yes—
162#88075C2314yes—
163#88061C2314yes—
164#88061C2314yes—
165#88058C2314yes—
166#88057C2314yes—
167#88055C2314yes—
168#88054C2314yes—
169#88054C2314yes—
170C8×Dic13C2314yes—
171#88049C2314yes—
172#88048C2314yes—
173#88048C2314yes—
174#88047C2314yes—
175#88047C2314yes—
176#88047C2314yes—
177#88043C2314yes—
178C2×#3386—131nomaximal, Sylow
179C23×D13—21no—
180C2×Q8×C13—21no—
181C2×Q8×C13—24no—
182C2×Q8×C13—22no—
183C2×Q8×C13—44no—
184C2×Q8×C13C2×Q814yescomplemented
185C2×Q8×C13C2412yes—
186C22×C4×C13—21no—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2411yescharacteristic
193C22×Dic13—21no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13C2×D411yescharacteristic
197C22×Dic13C2×D411yescharacteristic
198C22×Dic13C2×D411yescharacteristic
199C22×Dic13C2×D411yescharacteristic
200Q8×D13—432no—
201C2×D52—21no—
202C2×D52—22no—
203C2×D52C2×Q814yes—
204C2×D52C2412yes—
205C2×C4×D13—24no—
206C2×C4×D13—24no—
207C2×C4×D13—24no—
208C2×C4×D13—44no—
209C2×C4×D13—44no—
210C2×C4×D13—44no—
211C2×Dic26—24no—
212C2×Dic26—24no—
213C2×Dic26—24no—
214C2×Dic26—24no—
215C2×Dic26—44no—
216C2×Dic26—44no—
217C2×Dic26—44no—
218C2×Dic26C2×D414yes—
219C2×C8×C13—22no—
220C2×C8×C13—22no—
221C2×C8×C13C2412yes—
222C2×C8×C13C2412yes—
223C13×C4⋊C4—24no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—24no—
228C13×C4⋊C4C2412yes—
229C13×C4⋊C4C2412yes—
230C13×C4⋊C4C2412yes—
231C42×C13—24no—
232C42×C13C2×D412yes—
233C42×C13C2412yes—
234#6106C2×Q8116yescomplemented
235#6103—24no—
236#6103—24no—
237#6103—24no—
238C4⋊Dic13—21no—
239C4⋊Dic13—21no—
240C4⋊Dic13—21no—
241C4⋊Dic13—24no—
242C4⋊Dic13—24no—
243C4⋊Dic13—24no—
244C4⋊Dic13C2×D414yes—
245C4⋊Dic13C2412yes—
246C4⋊Dic13C2412yes—
247C4⋊Dic13C2412yes—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101C2×D414yes—
255#6101C2×D414yes—
256C4×Dic13—24no—
257C4×Dic13—24no—
258C4×Dic13C2×D412yes—
259C4×Dic13C2×D412yes—
260C4×Dic13C2412yes—
261C4×Dic13C2412yes—
262C2×#1055—22no—
263C2×#1055C2×Q814yescomplemented
264C2×#1055C2412yes—
265C2×#1055C2412yes—
266C2×#557—131no—
267C2×D4×Q8—131no—
268#3386—1316no—
269C2×#501—131no—
270C2×#501—131no—
271C2×#500—131no—
272C2×#477—131no—
273C2×#477D1311yescharacteristic, complemented
274C2×#475—131no—
275C2×#478—131no—
276C2×#478—131no—
277C2×#474—131no—
278C2×#446—131no—
279C2×#440—131no—
280C2×#440—131no—
281C2×C4×SD16—131no—
282C23×C13C22×D411yescharacteristic
283C22×D13—24no—
284C22×D13—22no—
285C22×D13—42no—
286C22×D13—42no—
287Q8×C13—24no—
288Q8×C13—22no—
289Q8×C13—48no—
290Q8×C13C22×Q814yescomplemented
291C2×C4×C13—24no—
292C2×C4×C13—22no—
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×C13C22×Q812yes—
305C2×C4×C132−1+412yes—
306C2×C4×C13C2511yescharacteristic
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13—42no—
316C2×Dic13AGL(1,ℤ/8)14yes—
317C2×Dic13C22×D412yes—
318C2×Dic13C22×D412yes—
319C2×Dic13C22×D412yes—
320C2×Dic13C22×D412yes—
321D52—24no—
322D52—22no—
323D52C22×Q814yes—
324C4×D13—48no—
325C4×D13—48no—
326C4×D13—48no—
327Dic26—28no—
328Dic26—48no—
329Dic26—48no—
330Dic26—48no—
331C8×C13—22no—
332C8×C13—22no—
333#1055—22no—
334#1055C22×Q814yescomplemented
335C23×Q8—261no—
336C22×SD16—131no—
337#557—138no—
338#557—264no—
339D4×Q8—138no—
340D4×Q8—264no—
341C2×C4⋊Q8—131no—
342C2×C4⋊Q8—131no—
343C2×C4⋊Q8—131no—
344C2×C4⋊Q8—261no—
345C2×C4⋊Q8C2×D1311yescharacteristic
346C2×#125—131no—
347C2×#125—131no—
348C2×#125—261no—
349C2×#125—261no—
350C2×C22⋊Q8—261no—
351C2×C22⋊Q8—261no—
352C2×C22⋊Q8—261no—
353C2×C4×Q8—131no—
354C2×C4×Q8—131no—
355C2×C4×Q8—131no—
356C2×C4×Q8—261no—
357C2×C4×Q8C2×D1311yescharacteristic
358C2×C4×D4—131no—
359C2×C4×D4—131no—
360C2×C4×D4—131no—
361#501—138no—
362#501—138no—
363#500—138no—
364#478—138no—
365#478—138no—
366#477—138no—
367#477C2×D1318yescomplemented
368#475—138no—
369#474—138no—
370#446—138no—
371#440—138no—
372#440—138no—
373C4×SD16—138no—
374C2×#107—131no—
375C2×#107—131no—
376C2×#107—131no—
377C2×#107—131no—
378C2×#107C2×D1311yescharacteristic
379C2×#107C2×D1311yescharacteristic
380C2×#106—131no—
381C2×#106—131no—
382C2×#106—131no—
383C2×C4⋊C8—131no—
384C2×C4⋊C8—131no—
385C2×C4⋊C8C2×D1311yescharacteristic
386C2×#103—131no—
387C2×#103C2×D1311yescharacteristic
388C2×#103C2×D1311yescharacteristic
389C2×#102—131no—
390C2×#102—131no—
391C2×#102—131no—
392C2×#97—131no—
393C2×#97—131no—
394C2×C4×C8—131no—
395C22×C13D4×Q812yes—
396C22×C13C2×AGL(1,ℤ/8)12yes—
397C22×C13#57812yes—
398C22×C13C23×D411yescharacteristic
399C2×D13—24no—
400C2×D13—48no—
401C2×D13—42no—
402C2×D13—42no—
403C4×C13—24no—
404C4×C13—22no—
405C4×C13—22no—
406C4×C13—42no—
407C4×C13—42no—
408C4×C13—42no—
409C4×C13D4×Q812yes—
410C4×C13C23×Q811yescharacteristic
411C4×C13C2×2−1+411yescharacteristic
412Dic13—22no—
413Dic13—22no—
414Dic13—22no—
415Dic13—42no—
416Dic13—42no—
417Dic13—42no—
418Dic13C2×AGL(1,ℤ/8)14yes—
419C22×Q8—21no—
420C22×Q8—131no—
421C22×Q8—261no—
422C22×Q8—261no—
423C22×Q8—261no—
424C22×Q8—268no—
425C22×Q8—528no—
426C22×Q8C22×D1311yescharacteristic
427C22×D4—131no—
428C23×C4—261no—
429C23×C4—261no—
430C23×C4—261no—
431C2×SD16—138no—
432C2×SD16—134no—
433C22×C8—131no—
434C22×C8—131no—
435C22×C8C22×D1311yescharacteristic
436C22×C8C22×D1311yescharacteristic
437C4⋊Q8—22no—
438C4⋊Q8—134no—
439C4⋊Q8—134no—
440C4⋊Q8—134no—
441C4⋊Q8—262no—
442C4⋊Q8—262no—
443C4⋊Q8—262no—
444C4⋊Q8—268no—
445C4⋊Q8C22×D1314yes—
446#125—134no—
447#125—134no—
448#125—268no—
449#125—262no—
450#125—268no—
451#125—262no—
452C22⋊Q8—268no—
453C22⋊Q8—268no—
454C22⋊Q8—268no—
455C4×Q8—22no—
456C4×Q8—134no—
457C4×Q8—134no—
458C4×Q8—134no—
459C4×Q8—134no—
460C4×Q8—268no—
461C4×Q8—262no—
462C4×Q8—262no—
463C4×Q8C22×D1314yes—
464C4×D4—134no—
465C4×D4—134no—
466C4×D4—134no—
467C4×D4—262no—
468C4×D4—262no—
469C4×D4—262no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—131no—
474C2×C4⋊C4—131no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—131no—
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⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4C22×D1311yescharacteristic
488C2×C4⋊C4C22×D1311yescharacteristic
489C2×C4⋊C4C22×D1311yescharacteristic
490C2×C22⋊C4—261no—
491C2×C22⋊C4—261no—
492C2×C22⋊C4—261no—
493C2×C42—21no—
494C2×C42—131no—
495C2×C42—131no—
496C2×C42—261no—
497C2×C42—261no—
498C2×C42C22×D1311yescharacteristic
499#107—134no—
500#107—134no—
501#107—134no—
502#107—134no—
503#107C22×D1314yes—
504#107C22×D1314yes—
505#106—134no—
506#106—134no—
507#106—134no—
508C4⋊C8—134no—
509C4⋊C8—134no—
510C4⋊C8C22×D1314yes—
511#103—134no—
512#103C22×D1314yes—
513#103C22×D1314yes—
514#102—134no—
515#102—134no—
516#102—134no—
517#97—134no—
518#97—134no—
519C4×C8—134no—
520C2×C13#338614yescomplemented
521C2×C13C2×D4×Q811yescharacteristic
522C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
523C2×C13C2×#57811yescharacteristic
524D13—44no—
525C24—261no—
526C2×Q8—21no—
527C2×Q8—24no—
528C2×Q8—22no—
529C2×Q8—44no—
530C2×Q8—134no—
531C2×Q8—264no—
532C2×Q8—264no—
533C2×Q8—264no—
534C2×Q8—264no—
535C2×Q8—524no—
536C2×Q8—524no—
537C2×Q8—524no—
538C2×Q8—5232no—
539C2×Q8Q8×D1314yescomplemented
540C2×Q8C23×D1312yes—
541C2×D4—134no—
542C2×D4—132no—
543C2×D4—261no—
544C2×D4—262no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—131no—
550C22×C4—131no—
551C22×C4—131no—
552C22×C4—131no—
553C22×C4—264no—
554C22×C4—264no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4—261no—
558C22×C4—264no—
559C22×C4—524no—
560C22×C4—524no—
561C22×C4—524no—
562C22×C4D4×D1311yescharacteristic
563C22×C4D4×D1311yescharacteristic
564C22×C4C23×D1311yescharacteristic
565SD16—1316no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—134no—
569C2×C8—132no—
570C2×C8—132no—
571C2×C8—262no—
572C2×C8C23×D1312yes—
573C2×C8C23×D1312yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—134no—
580C4⋊C4—134no—
581C4⋊C4—134no—
582C4⋊C4—132no—
583C4⋊C4—132no—
584C4⋊C4—132no—
585C4⋊C4—264no—
586C4⋊C4—264no—
587C4⋊C4—264no—
588C4⋊C4—264no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—261no—
593C4⋊C4—261no—
594C4⋊C4—261no—
595C4⋊C4—264no—
596C4⋊C4—264no—
597C4⋊C4C23×D1312yes—
598C4⋊C4C23×D1312yes—
599C4⋊C4C23×D1312yes—
600C22⋊C4—264no—
601C22⋊C4—264no—
602C22⋊C4—264no—
603C42—24no—
604C42—132no—
605C42—132no—
606C42—132no—
607C42—132no—
608C42—264no—
609C42—264no—
610C42D4×D1312yes—
611C42C23×D1312yes—
612C13C2×#338611yescharacteristic, complemented, Sylow
613C23—264no—
614C23—262no—
615C23—522no—
616C23—522no—
617C23C2×D4×D1311yescharacteristic
618Q8—24no—
619Q8—22no—
620Q8—48no—
621Q8—268no—
622Q8—528no—
623Q8—528no—
624Q8—528no—
625Q8C2×Q8×D1314yescomplemented
626D4—134no—
627D4—264no—
628D4—262no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—134no—
640C2×C4—132no—
641C2×C4—132no—
642C2×C4—132no—
643C2×C4—132no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—262no—
648C2×C4—262no—
649C2×C4—262no—
650C2×C4—528no—
651C2×C4—528no—
652C2×C4—528no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4C2×D4×D1312yes—
657C2×C4C2×D4×D1312yes—
658C2×C4C2×D4×D1311yescharacteristic
659C2×C4C2×Q8×D1312yes—
660C2×C4#8825712yes—
661C2×C4C24×D1311yescharacteristic
662C8—22no—
663C8—22no—
664C8—134no—
665C8—262no—
666C22—264no—
667C22—528no—
668C22—522no—
669C22—522no—
670C22#1171933712yes—
671C22#1171947112yes—
672C22D13×AGL(1,ℤ/8)12yes—
673C22C22×D4×D1311yescharacteristic
674C4—22no—
675C4—24no—
676C4—22no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—134no—
681C4—262no—
682C4—262no—
683C4—262no—
684C4—522no—
685C4—522no—
686C4—522no—
687C4#1171933712yes—
688C4C22×Q8×D1311yescharacteristic
689C4C2×#8825711yescharacteristic
690C2—524no—
691C2#1312776014yesdirect product factor
692C2C2×#1171933711yescharacteristic
693C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#1171947111yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#477C2
socleC23×C13C22×D4
prime radicalC22×D52C23
hypercenterC2×#477D13
hypocenterC13C2×#3386
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
1. C2×#11719274C2semidirect
3. #13127760C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718741C2semidirect
6. C2×#11718535C2semidirect
7. C2×#11718455C2semidirect
8. C2×#11718452C2semidirect
12. C2×#11718489C2semidirect
16. C2×C13×#477C2semidirect
27. #11719274C22semidirect
43. C13×#477C22semidirect
58. #11718741C22semidirect
69. #11718537C22semidirect
70. #11718535C22semidirect
72. #11718489C22semidirect
74. #11718455C22semidirect
75. #11718452C22semidirect
107. C2×#6106Q8semidirect
184. C2×Q8×C13C2×Q8semidirect
234. #6106C2×Q8semidirect
263. C2×#1055C2×Q8semidirect
273. C2×#477D13semidirect
290. Q8×C13C22×Q8semidirect
334. #1055C22×Q8semidirect
367. #477C2×D13semidirect
520. C2×C13#3386semidirect
539. C2×Q8Q8×D13semidirect
612. C13C2×#3386semidirect
625. Q8C2×Q8×D13semidirect
691. C2#13127760direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192742
C2×#117194322
#131277602
C2×#117185372
C2×#117187412
C2×#117185352
C2×#117184552
C2×#117184522
C2×#117185522
C2×#117185082
C2×#117185512
C2×#117184892
C2×#117184782
C2×#117186872
C2×#117184492
C2×C13×#4772
C2×#338613