Finite Group Databasebeta

← C2×#13127732 #16743393

Subgroups — C2×#13127732 #16743393

Order 3328.

2082 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719395C211yesmaximal, characteristic, complemented
2C2×#11719432C211yesmaximal, characteristic, complemented
3#13127732C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718516C211yesmaximal, characteristic, complemented
6C2×#11718552C211yesmaximal, characteristic, complemented
7C2×#11718727C211yesmaximal, characteristic, complemented
8C2×#11718531C211yesmaximal, characteristic, complemented
9C2×#11718531C211yesmaximal, characteristic, complemented
10C2×#11718745C211yesmaximal, characteristic, complemented
11C2×#11718551C211yesmaximal, characteristic, complemented
12C2×#11718362C211yesmaximal, characteristic, complemented
13C2×#11718372C211yesmaximal, characteristic
14C2×#11718530C211yesmaximal, characteristic
15C2×#11718533C211yesmaximal, characteristic
16C2×C13×#501C211yesmaximal, characteristic, complemented
17C22×Q8×D13—21no—
18C2×C13×C4⋊Q8C2211yescharacteristic
19C2×C13×#125C2211yescharacteristic
20C2×#88200—21no—
21C22×D104C2211yescharacteristic
22#11719432—24no—
23#11719432C2218yescomplemented
24#11719395—24no—
25#11719395C2218yescomplemented
26C2×#88151—21no—
27C2×#88150—21no—
28C2×#88150—21no—
29C2×#88150—21no—
30C2×#88150—21no—
31C2×#88147C2211yescharacteristic
32C2×#88147C2211yescharacteristic
33C2×#88147C2211yescharacteristic
34C2×#88147C2211yescharacteristic
35C2×C4⋊C4×D13—21no—
36C2×#88144C2211yescharacteristic
37C2×#88142C2211yescharacteristic
38C2×#88142C2211yescharacteristic
39C2×#88142C2211yescharacteristic
40C2×C4×D52C2211yescharacteristic
41C2×C4×D52C2211yescharacteristic
42C2×C4×Dic26C2211yescharacteristic
43C13×#501C2218yescomplemented
44C2×C13×#107C2211yescharacteristic
45C2×C13×#107C2211yescharacteristic
46C2×C13×#106C2211yescharacteristic
47C2×C13×#106C2211yescharacteristic
48C2×C13×#97C2211yescharacteristic
49C2×#88061C2211yescharacteristic
50C2×#88061C2211yescharacteristic
51C2×#88057C2211yescharacteristic
52C2×#88055C2211yescharacteristic
53C2×#88054C2211yescharacteristic
54C2×#88054C2211yescharacteristic
55C2×C8×Dic13C2211yescharacteristic
56#11718745C2218yescomplemented
57#11718727C2218yescomplemented
58C2×#88049C2211yescharacteristic
59C2×#88049C2211yescharacteristic
60C2×#88049C2211yescharacteristic
61C2×#88049C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67#11718552C2218yescomplemented
68#11718551C2218yescomplemented
69#11718537C2218yescomplemented
70#11718533C2218yes—
71#11718531C2218yescomplemented
72#11718531C2218yescomplemented
73#11718530C2218yes—
74#11718516C2218yescomplemented
75#11718372C2218yes—
76#11718362C2218yescomplemented
77C22×Q8×C13—21no—
78C2×Q8×D13—28no—
79C2×Q8×D13—48no—
80C22×D52C2311yescharacteristic
81C22×D52C2311yescharacteristic
82C22×C4×D13—21no—
83C22×C4×D13—21no—
84C22×C4×D13—21no—
85C22×C4×D13—21no—
86C22×C4×D13—21no—
87C22×C4×D13—21no—
88C22×Dic26—21no—
89C22×Dic26—21no—
90C22×Dic26—21no—
91C22×Dic26D411yescharacteristic
92C22×C8×C13C2311yescharacteristic
93C22×C8×C13C2311yescharacteristic
94C13×C4⋊Q8—22no—
95C13×C4⋊Q8C2314yes—
96C13×#125—22no—
97C13×#125C2314yes—
98C2×C13×C4⋊C4—21no—
99C2×C13×C4⋊C4—21no—
100C2×C13×C4⋊C4—21no—
101C2×C13×C4⋊C4C2311yescharacteristic
102C2×C13×C4⋊C4C2311yescharacteristic
103C2×C13×C4⋊C4C2311yescharacteristic
104C2×C13×C4⋊C4C2311yescharacteristic
105C2×C42×C13C2311yescharacteristic
106#88200—28no—
107C2×#6103—21no—
108C2×#6103—21no—
109C2×#6103—21no—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103—21no—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13D411yescharacteristic
115C2×C4⋊Dic13C2311yescharacteristic
116C2×C4⋊Dic13C2311yescharacteristic
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101D411yescharacteristic
122C2×#6101D411yescharacteristic
123C2×C4×Dic13C2311yescharacteristic
124C2×C4×Dic13C2311yescharacteristic
125C22×#1055C2311yescharacteristic
126C22×#1055C2311yescharacteristic
127C2×D104Q818yescomplemented
128C2×D104C2314yes—
129#88151—28no—
130#88150—28no—
131#88150—28no—
132#88150—28no—
133#88150—28no—
134#88147—22no—
135#88147—22no—
136#88147—22no—
137#88147—22no—
138#88147C2314yes—
139#88147C2314yes—
140#88147C2314yes—
141#88147C2314yes—
142C4⋊C4×D13—28no—
143#88144—22no—
144#88144C2314yes—
145#88142—22no—
146#88142—22no—
147#88142—22no—
148#88142C2314yes—
149#88142C2314yes—
150#88142C2314yes—
151C4×D52—22no—
152C4×D52—22no—
153C4×D52C2314yes—
154C4×D52C2314yes—
155C4×Dic26D414yes—
156C4×Dic26C2314yes—
157C13×#107C2314yes—
158C13×#107C2314yes—
159C13×#106C2314yes—
160C13×#106C2314yes—
161C13×#97C2314yes—
162#88061C2314yes—
163#88061C2314yes—
164#88057C2314yes—
165#88055C2314yes—
166#88054C2314yes—
167#88054C2314yes—
168C8×Dic13C2314yes—
169#88049C2314yes—
170#88049C2314yes—
171#88049C2314yes—
172#88049C2314yes—
173#88048C2314yes—
174#88048C2314yes—
175#88048C2314yes—
176#88047C2314yes—
177C4⋊#1055C2314yes—
178C2×#3384—131nomaximal, Sylow
179C23×D13—21no—
180C23×D13—21no—
181C2×Q8×C13—24no—
182C2×Q8×C13—44no—
183C22×C4×C13—21no—
184C22×C4×C13—21no—
185C22×C4×C13—21no—
186C22×C4×C13—21no—
187C22×C4×C13C2×D411yescharacteristic
188C22×C4×C13C2×D411yescharacteristic
189C22×C4×C13C2411yescharacteristic
190C22×Dic13—21no—
191C22×Dic13—21no—
192C22×Dic13C2×D411yescharacteristic
193C22×Dic13C2×D411yescharacteristic
194C22×Dic13C2×D411yescharacteristic
195C22×Dic13C2×D411yescharacteristic
196Q8×D13—432no—
197C2×D52—21no—
198C2×D52—21no—
199C2×D52—22no—
200C2×D52—22no—
201C2×D52C2×Q814yes—
202C2×D52C2×Q814yescomplemented
203C2×D52C2412yes—
204C2×D52C2412yes—
205C2×C4×D13—24no—
206C2×C4×D13—24no—
207C2×C4×D13—24no—
208C2×C4×D13—24no—
209C2×C4×D13—24no—
210C2×C4×D13—24no—
211C2×C4×D13—44no—
212C2×C4×D13—44no—
213C2×C4×D13—44no—
214C2×C4×D13—44no—
215C2×C4×D13—82no—
216C2×C4×D13—82no—
217C2×Dic26—24no—
218C2×Dic26—24no—
219C2×Dic26—24no—
220C2×Dic26—24no—
221C2×Dic26—44no—
222C2×Dic26—44no—
223C2×Dic26—82no—
224C2×Dic26C2×D414yes—
225C2×C8×C13—22no—
226C2×C8×C13C2×Q814yescomplemented
227C2×C8×C13C2412yes—
228C2×C8×C13C2412yes—
229C13×C4⋊C4—21no—
230C13×C4⋊C4—21no—
231C13×C4⋊C4—21no—
232C13×C4⋊C4—21no—
233C13×C4⋊C4—24no—
234C13×C4⋊C4—24no—
235C13×C4⋊C4—24no—
236C13×C4⋊C4C2412yes—
237C13×C4⋊C4C2412yes—
238C13×C4⋊C4C2412yes—
239C13×C4⋊C4C2412yes—
240C42×C13C2×D412yes—
241C42×C13C2412yes—
242#6103—24no—
243#6103—24no—
244#6103—24no—
245#6103—24no—
246#6103—24no—
247#6103—24no—
248C4⋊Dic13—21no—
249C4⋊Dic13—21no—
250C4⋊Dic13—24no—
251C4⋊Dic13C2×D414yes—
252C4⋊Dic13C2412yes—
253C4⋊Dic13C2412yes—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101C2×D414yes—
259#6101C2×D414yes—
260C4×Dic13C2×D412yes—
261C4×Dic13C2×D412yes—
262C4×Dic13C2412yes—
263C4×Dic13C2412yes—
264C2×#1055—22no—
265C2×#1055—22no—
266C2×#1055C2412yes—
267C2×#1055C2412yes—
268D104C2×Q8116yescomplemented
269C2×#554—131no—
270C2×D4×Q8—131no—
271#3384—1316no—
272C2×#501—131no—
273C2×#501D1311yescharacteristic, complemented
274C2×#498—131no—
275C2×#478—131no—
276C2×#478—131no—
277C2×#476—131no—
278C2×#476—131no—
279C2×#476—131no—
280C2×#474—131no—
281C2×#446—131no—
282C2×#442—131no—
283C2×#442—131no—
284C2×C4×D8—131no—
285C23×C13C22×D411yescharacteristic
286C22×D13—24no—
287C22×D13—24no—
288C22×D13—22no—
289C22×D13—22no—
290C22×D13—42no—
291C22×D13—42no—
292C22×D13—42no—
293C22×D13—42no—
294Q8×C13—48no—
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×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C13C22×Q812yes—
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—42no—
317C2×Dic13—42no—
318C2×Dic13AGL(1,ℤ/8)14yes—
319C2×Dic13C22×D412yes—
320C2×Dic13C22×D412yes—
321C2×Dic13C22×D412yes—
322C2×Dic13C22×D412yes—
323D52—24no—
324D52—24no—
325D52—22no—
326D52—22no—
327D52C22×Q814yes—
328D52C22×Q814yescomplemented
329C4×D13—48no—
330C4×D13—48no—
331C4×D13—48no—
332C4×D13—48no—
333C4×D13—84no—
334C4×D13—84no—
335Dic26—28no—
336Dic26—48no—
337Dic26—48no—
338Dic26—84no—
339C8×C13—22no—
340C8×C13C22×Q814yescomplemented
341#1055—22no—
342#1055—22no—
343C23×Q8—261no—
344C22×D8—131no—
345#554—138no—
346#554—264no—
347D4×Q8—138no—
348D4×Q8—264no—
349C2×C4⋊Q8—131no—
350C2×C4⋊Q8—131no—
351C2×C4⋊Q8—131no—
352C2×C4⋊Q8C2×D1311yescharacteristic
353C2×#125—131no—
354C2×#125C2×D1311yescharacteristic
355C2×C22⋊Q8—261no—
356C2×C22⋊Q8—261no—
357C2×C22⋊Q8—261no—
358C2×C22⋊Q8—261no—
359C2×C22⋊Q8—261no—
360C2×C22⋊Q8—261no—
361C2×C4×Q8—131no—
362C2×C4×D4—131no—
363C2×C4×D4—131no—
364C2×C4×D4—131no—
365C2×C4×D4—131no—
366C2×C4×D4—131no—
367C2×C4×D4—131no—
368C22×C4⋊C4—261no—
369#501—138no—
370#501C2×D1318yescomplemented
371#498—138no—
372#478—138no—
373#478—138no—
374#476—138no—
375#476—138no—
376#476—138no—
377#474—138no—
378#446—138no—
379#442—138no—
380#442—138no—
381C4×D8—138no—
382C2×#107—131no—
383C2×#107C2×D1311yescharacteristic
384C2×#107C2×D1311yescharacteristic
385C2×#106—131no—
386C2×#106—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×#106C2×D1311yescharacteristic
390C2×#106C2×D1311yescharacteristic
391C2×C4⋊C8—131no—
392C2×C4⋊C8—131no—
393C2×C4⋊C8—131no—
394C2×#102—131no—
395C2×#102—131no—
396C2×#102—131no—
397C2×#102—131no—
398C2×#102—131no—
399C2×#102—131no—
400C2×#97—131no—
401C2×#97C2×D1311yescharacteristic
402C2×C4×C8—131no—
403C22×C13D4×Q812yes—
404C22×C13C2×AGL(1,ℤ/8)12yes—
405C22×C13#57712yes—
406C22×C13C23×D411yescharacteristic
407C2×D13—24no—
408C2×D13—24no—
409C2×D13—48no—
410C2×D13—48no—
411C2×D13—42no—
412C2×D13—42no—
413C2×D13—42no—
414C2×D13—42no—
415C4×C13—22no—
416C4×C13—22no—
417C4×C13—42no—
418C4×C13—42no—
419C4×C13—42no—
420C4×C13—42no—
421C4×C13D4×Q812yes—
422C4×C13C23×Q811yescharacteristic
423C4×C13C2×2−1+411yescharacteristic
424Dic13—22no—
425Dic13—22no—
426Dic13—22no—
427Dic13—42no—
428Dic13—42no—
429Dic13C2×AGL(1,ℤ/8)14yes—
430C22×Q8—21no—
431C22×Q8—131no—
432C22×Q8—261no—
433C22×Q8—261no—
434C22×Q8—261no—
435C22×Q8—268no—
436C22×Q8—528no—
437C22×D4—131no—
438C22×D4—131no—
439C23×C4—261no—
440C23×C4—261no—
441C23×C4—261no—
442C23×C4—261no—
443C23×C4—261no—
444C23×C4—261no—
445C2×D8—138no—
446C2×D8—134no—
447C22×C8—131no—
448C22×C8—131no—
449C22×C8C22×D1311yescharacteristic
450C22×C8C22×D1311yescharacteristic
451C4⋊Q8—22no—
452C4⋊Q8—134no—
453C4⋊Q8—134no—
454C4⋊Q8—134no—
455C4⋊Q8—262no—
456C4⋊Q8—262no—
457C4⋊Q8—262no—
458C4⋊Q8C22×D1314yes—
459#125—22no—
460#125—134no—
461#125—262no—
462#125C22×D1314yes—
463C22⋊Q8—268no—
464C22⋊Q8—268no—
465C22⋊Q8—268no—
466C22⋊Q8—268no—
467C22⋊Q8—268no—
468C22⋊Q8—268no—
469C4×Q8—134no—
470C4×Q8—134no—
471C4×D4—134no—
472C4×D4—134no—
473C4×D4—134no—
474C4×D4—134no—
475C4×D4—134no—
476C4×D4—134no—
477C4×D4—262no—
478C4×D4—262no—
479C4×D4—262no—
480C4×D4—262no—
481C4×D4—262no—
482C4×D4—262no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—131no—
487C2×C4⋊C4—131no—
488C2×C4⋊C4—131no—
489C2×C4⋊C4—131no—
490C2×C4⋊C4—131no—
491C2×C4⋊C4—268no—
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×C4⋊C4C22×D1311yescharacteristic
500C2×C4⋊C4C22×D1311yescharacteristic
501C2×C22⋊C4—261no—
502C2×C22⋊C4—261no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C42—131no—
508C2×C42—131no—
509C2×C42C22×D1311yescharacteristic
510#107—134no—
511#107C22×D1314yes—
512#107C22×D1314yes—
513#106—134no—
514#106—134no—
515#106—134no—
516#106—134no—
517#106C22×D1314yes—
518#106C22×D1314yes—
519C4⋊C8—134no—
520C4⋊C8—134no—
521C4⋊C8—134no—
522#102—134no—
523#102—134no—
524#102—134no—
525#102—134no—
526#102—134no—
527#102—134no—
528#97—134no—
529#97C22×D1314yes—
530C4×C8—134no—
531C2×C13#338414yescomplemented
532C2×C13C2×D4×Q811yescharacteristic
533C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
534C2×C13C2×#57711yescharacteristic
535D13—44no—
536D13—44no—
537C24—261no—
538C24—261no—
539C2×Q8—24no—
540C2×Q8—44no—
541C2×Q8—134no—
542C2×Q8—264no—
543C2×Q8—264no—
544C2×Q8—264no—
545C2×Q8—264no—
546C2×Q8—524no—
547C2×Q8—524no—
548C2×Q8—5232no—
549C2×Q8—1042no—
550C2×D4—134no—
551C2×D4—134no—
552C2×D4—132no—
553C2×D4—132no—
554C2×D4—261no—
555C2×D4—261no—
556C2×D4—262no—
557C2×D4—262no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—131no—
563C22×C4—131no—
564C22×C4—131no—
565C22×C4—131no—
566C22×C4—264no—
567C22×C4—264no—
568C22×C4—264no—
569C22×C4—264no—
570C22×C4—261no—
571C22×C4—261no—
572C22×C4—264no—
573C22×C4—264no—
574C22×C4—524no—
575C22×C4—524no—
576C22×C4—524no—
577C22×C4—524no—
578C22×C4—1042no—
579C22×C4—1042no—
580C22×C4D4×D1311yescharacteristic
581C22×C4D4×D1311yescharacteristic
582C22×C4C23×D1311yescharacteristic
583D8—1316no—
584C2×C8—22no—
585C2×C8—132no—
586C2×C8—132no—
587C2×C8—262no—
588C2×C8—262no—
589C2×C8Q8×D1314yescomplemented
590C2×C8C23×D1312yes—
591C2×C8C23×D1312yes—
592C4⋊C4—24no—
593C4⋊C4—24no—
594C4⋊C4—24no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—134no—
600C4⋊C4—134no—
601C4⋊C4—134no—
602C4⋊C4—132no—
603C4⋊C4—132no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4—264no—
609C4⋊C4—261no—
610C4⋊C4—261no—
611C4⋊C4C23×D1312yes—
612C4⋊C4C23×D1312yes—
613C4⋊C4C23×D1312yes—
614C4⋊C4C23×D1312yes—
615C22⋊C4—264no—
616C22⋊C4—264no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C42—132no—
622C42—132no—
623C42—132no—
624C42—132no—
625C42D4×D1312yes—
626C42C23×D1312yes—
627C13C2×#338411yescharacteristic, complemented, Sylow
628C23—264no—
629C23—264no—
630C23—262no—
631C23—262no—
632C23—522no—
633C23—522no—
634C23—522no—
635C23—522no—
636C23C2×D4×D1311yescharacteristic
637Q8—48no—
638Q8—268no—
639Q8—528no—
640Q8—528no—
641Q8—1044no—
642D4—134no—
643D4—134no—
644D4—264no—
645D4—264no—
646D4—262no—
647D4—262no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—134no—
659C2×C4—132no—
660C2×C4—132no—
661C2×C4—132no—
662C2×C4—132no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—528no—
669C2×C4—528no—
670C2×C4—528no—
671C2×C4—528no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—1044no—
675C2×C4—1044no—
676C2×C4C2×D4×D1312yes—
677C2×C4C2×D4×D1312yes—
678C2×C4C2×D4×D1311yescharacteristic
679C2×C4C2×Q8×D1312yes—
680C2×C4#8825412yes—
681C2×C4C24×D1311yescharacteristic
682C8—22no—
683C8—262no—
684C8—262no—
685C8C2×Q8×D1314yescomplemented
686C22—264no—
687C22—264no—
688C22—528no—
689C22—528no—
690C22—522no—
691C22—522no—
692C22—522no—
693C22—522no—
694C22#1171943212yes—
695C22D13×AGL(1,ℤ/8)12yes—
696C22#1171948312yes—
697C22C22×D4×D1311yescharacteristic
698C4—22no—
699C4—22no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—134no—
705C4—262no—
706C4—262no—
707C4—262no—
708C4—522no—
709C4—522no—
710C4#1171943212yes—
711C4C22×Q8×D1311yescharacteristic
712C4C2×#8825411yescharacteristic
713C2—524no—
714C2—524no—
715C2#1312773214yesdirect product factor
716C2C2×#1171943211yescharacteristic
717C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
718C2C2×#1171948311yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#501C2
socleC23×C13C22×D4
prime radicalC22×D104C22
hypercenterC2×#501D13
hypocenterC13C2×#3384
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#11719395C2semidirect
2. C2×#11719432C2semidirect
3. #13127732C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718516C2semidirect
6. C2×#11718552C2semidirect
7. C2×#11718727C2semidirect
8. C2×#11718531C2semidirect
9. C2×#11718531C2semidirect
10. C2×#11718745C2semidirect
11. C2×#11718551C2semidirect
12. C2×#11718362C2semidirect
16. C2×C13×#501C2semidirect
23. #11719432C22semidirect
25. #11719395C22semidirect
43. C13×#501C22semidirect
56. #11718745C22semidirect
57. #11718727C22semidirect
67. #11718552C22semidirect
68. #11718551C22semidirect
69. #11718537C22semidirect
71. #11718531C22semidirect
72. #11718531C22semidirect
74. #11718516C22semidirect
76. #11718362C22semidirect
127. C2×D104Q8semidirect
202. C2×D52C2×Q8semidirect
226. C2×C8×C13C2×Q8semidirect
268. D104C2×Q8semidirect
273. C2×#501D13semidirect
328. D52C22×Q8semidirect
340. C8×C13C22×Q8semidirect
370. #501C2×D13semidirect
531. C2×C13#3384semidirect
589. C2×C8Q8×D13semidirect
627. C13C2×#3384semidirect
685. C8C2×Q8×D13semidirect
715. C2#13127732direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117193952
C2×#117194322
#131277322
C2×#117185372
C2×#117185162
C2×#117185522
C2×#117187272
C2×#117185312
C2×#117187452
C2×#117185512
C2×#117183622
C2×#117183722
C2×#117185302
C2×#117185332
C2×C13×#5012
C2×#338413