Finite Group Databasebeta

← C2×#13124623 #16730419

Subgroups — C2×#13124623 #16730419

Order 3328.

2162 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719393C211yesmaximal, characteristic, complemented
2C2×C4×#6131C211yesmaximal, characteristic
3#13124623C2116yesmaximal, direct product factor
4C2×#11718683C211yesmaximal, characteristic, complemented
5C2×#11718455C211yesmaximal, characteristic, complemented
6C2×#11718452C211yesmaximal, characteristic, complemented
7C2×#11718508C211yesmaximal, characteristic, complemented
8C2×#11718727C211yesmaximal, characteristic, complemented
9C2×#11718531C211yesmaximal, characteristic, complemented
10C2×#11718551C211yesmaximal, characteristic, complemented
11C2×#11718541C211yesmaximal, characteristic, complemented
12C2×#11718521C211yesmaximal, characteristic, complemented
13C2×D13×C4⋊C8C211yesmaximal, characteristic, complemented
14C2×#11718465C211yesmaximal, characteristic
15C2×#11718465C211yesmaximal, characteristic
16C2×C13×#479C211yesmaximal, characteristic, complemented
17C22×#6131C2211yescharacteristic
18C2×C13×#125C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C22×C8×D13C2211yescharacteristic
22C22×C8×D13C2211yescharacteristic
23#11719393—24no—
24#11719393C2218yescomplemented
25C4×#6131—24no—
26C4×#6131C2218yes—
27C2×#88150—21no—
28C2×#88150—21no—
29C2×#88147—21no—
30C2×#88147C2211yescharacteristic
31C2×#88146—21no—
32C2×#88146C2211yescharacteristic
33C2×#88146C2211yescharacteristic
34C2×#88146C2211yescharacteristic
35C2×#88142C2211yescharacteristic
36C2×#88142C2211yescharacteristic
37C2×#88141—21no—
38C2×#88141—21no—
39C2×C4×D52—21no—
40C2×C4×D52C2211yescharacteristic
41C2×C42×D13—21no—
42C2×C42×D13C2211yescharacteristic
43C2×#88124C2211yescharacteristic
44C13×#479C2218yescomplemented
45C2×C13×#107C2211yescharacteristic
46C2×C13×#106C2211yescharacteristic
47C2×C13×C4⋊C8C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×C13×#103C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88061C2211yescharacteristic
53C2×#88061C2211yescharacteristic
54C2×#88058C2211yescharacteristic
55C2×#88057C2211yescharacteristic
56C2×#88054C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58#11718727C2218yescomplemented
59#11718683C2218yescomplemented
60C2×#88049C2211yescharacteristic
61C2×#88049C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67#11718551C2218yescomplemented
68#11718541C2218yescomplemented
69#11718531C2218yescomplemented
70#11718521C2218yescomplemented
71#11718508C2218yescomplemented
72D13×C4⋊C8C2218yescomplemented
73#11718465C2218yes—
74#11718465C2218yes—
75#11718455C2218yescomplemented
76#11718452C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C2×#6131—22no—
79C2×#6131—24no—
80C2×#6131Q818yescomplemented
81C2×#6131C2314yes—
82C22×D52—21no—
83C22×D52C2311yescharacteristic
84C22×C4×D13—21no—
85C22×C4×D13—21no—
86C22×C4×D13—21no—
87C22×C4×D13D411yescharacteristic
88C22×C4×D13D411yescharacteristic
89C22×C4×D13C2311yescharacteristic
90C22×Dic26—21no—
91C22×Dic26—21no—
92C22×C8×C13C2311yescharacteristic
93C22×C8×C13C2311yescharacteristic
94C13×#125—22no—
95C13×#125C2314yes—
96C4×Q8×C13—22no—
97C4×Q8×C13C2314yes—
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×C42×C13—21no—
105C2×C42×C13C2311yescharacteristic
106Q8×Dic13—22no—
107Q8×Dic13C2314yes—
108C2×#6103—21no—
109C2×#6103—21no—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103—21no—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13C2311yescharacteristic
115C2×C4⋊Dic13C2311yescharacteristic
116C2×C4⋊Dic13C2311yescharacteristic
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×C4×Dic13—21no—
122C2×C4×Dic13—21no—
123C2×C4×Dic13—21no—
124C2×C4×Dic13—21no—
125C2×C4×Dic13D411yescharacteristic
126C2×C4×Dic13D411yescharacteristic
127C2×C4×Dic13C2311yescharacteristic
128C22×#1055C2311yescharacteristic
129C22×#1055C2311yescharacteristic
130C2×C8×D13—24no—
131C2×C8×D13—24no—
132C2×C8×D13C2314yes—
133C2×C8×D13C2314yes—
134#88150—28no—
135#88150—28no—
136#88147—28no—
137#88147—22no—
138#88147C2314yes—
139#88146—22no—
140#88146—22no—
141#88146—22no—
142#88146—28no—
143#88146C2314yes—
144#88146C2314yes—
145#88146C2314yes—
146#88142—22no—
147#88142—22no—
148#88142C2314yes—
149#88142C2314yes—
150#88141—28no—
151#88141—28no—
152C4×D52—28no—
153C4×D52—22no—
154C4×D52C2314yes—
155C42×D13—28no—
156C42×D13D414yes—
157C42×D13C2314yes—
158#88124—22no—
159#88124C2314yes—
160C13×#107C2314yes—
161C13×#106C2314yes—
162C13×C4⋊C8C2314yes—
163C13×#103C2314yes—
164C13×#103C2314yes—
165#88075C2314yes—
166#88075C2314yes—
167#88061C2314yes—
168#88061C2314yes—
169#88058C2314yes—
170#88057C2314yes—
171#88054C2314yes—
172#88054C2314yes—
173#88049C2314yes—
174#88049C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88047C2314yes—
178#88047C2314yes—
179C4⋊#1055C2314yes—
180C2×#3076—131nomaximal, Sylow
181C23×D13—21no—
182C23×D13C2×D411yescharacteristic
183C2×Q8×C13—21no—
184C2×Q8×C13—22no—
185C2×Q8×C13C2×Q814yes—
186C2×Q8×C13C2412yes—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2411yescharacteristic
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13C2×D411yescharacteristic
198C22×Dic13C2×D411yescharacteristic
199C22×Dic13C2×D411yescharacteristic
200#6131—216no—
201#6131—28no—
202#6131C2×Q8116yescomplemented
203C2×D52—28no—
204C2×D52—24no—
205C2×D52—21no—
206C2×D52—22no—
207C2×D52C2×Q814yes—
208C2×D52C2412yes—
209C2×C4×D13—28no—
210C2×C4×D13—24no—
211C2×C4×D13—24no—
212C2×C4×D13—24no—
213C2×C4×D13—24no—
214C2×C4×D13—42no—
215C2×C4×D13—44no—
216C2×C4×D13—44no—
217C2×C4×D13C2×D414yes—
218C2×C4×D13C2×D414yes—
219C2×C4×D13C2×D412yes—
220C2×C4×D13C2×Q814yes—
221C2×C4×D13#4114yes—
222C2×C4×D13C2412yes—
223C2×Dic26—24no—
224C2×Dic26—24no—
225C2×Dic26—44no—
226C2×Dic26—44no—
227C2×C8×C13—22no—
228C2×C8×C13—22no—
229C2×C8×C13C2412yes—
230C2×C8×C13C2412yes—
231C13×C4⋊C4—24no—
232C13×C4⋊C4—24no—
233C13×C4⋊C4—21no—
234C13×C4⋊C4—21no—
235C13×C4⋊C4—24no—
236C13×C4⋊C4—21no—
237C13×C4⋊C4C2412yes—
238C13×C4⋊C4C2412yes—
239C13×C4⋊C4C2412yes—
240C42×C13—24no—
241C42×C13C2×D412yes—
242C42×C13C2412yes—
243#6103—24no—
244#6103—24no—
245#6103—24no—
246#6103—24no—
247#6103—24no—
248C4⋊Dic13—21no—
249C4⋊Dic13—21no—
250C4⋊Dic13—21no—
251C4⋊Dic13—24no—
252C4⋊Dic13C2412yes—
253C4⋊Dic13C2412yes—
254C4⋊Dic13C2412yes—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C4×Dic13—24no—
263C4×Dic13C2×D414yes—
264C4×Dic13C2×D412yes—
265C4×Dic13C2×D414yes—
266C4×Dic13C2412yes—
267C2×#1055—22no—
268C2×#1055—22no—
269C2×#1055C2412yes—
270C2×#1055C2412yes—
271C8×D13—28no—
272C8×D13—28no—
273C2×#533—131no—
274C2×C4×#41—131no—
275#3076—1316no—
276C2×#479—131no—
277C2×#479D1311yescharacteristic, complemented
278C2×#477—131no—
279C2×#475—131no—
280C2×#478—131no—
281C2×#478—131no—
282C2×#476—131no—
283C2×#474—131no—
284C2×#427—131no—
285C2×#427—131no—
286C22×C4⋊C8—131no—
287C2×#416—131no—
288C2×#416—131no—
289C23×C13C22×D411yescharacteristic
290C22×D13—22no—
291C22×D13—22no—
292C22×D13—24no—
293C22×D13—22no—
294C22×D13—42no—
295C22×D13—42no—
296C22×D13C22⋊Q814yes—
297C22×D13C22×D412yes—
298Q8×C13—24no—
299Q8×C13—22no—
300Q8×C13C22×Q814yes—
301C2×C4×C13—24no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—22no—
307C2×C4×C13—22no—
308C2×C4×C13—42no—
309C2×C4×C13—42no—
310C2×C4×C13—42no—
311C2×C4×C13C22×D412yes—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D411yescharacteristic
314C2×C4×C13C22×Q812yes—
315C2×C4×C13C2×#4112yes—
316C2×C4×C13C2511yescharacteristic
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13—42no—
324C2×Dic13C22⋊Q814yes—
325C2×Dic13#13514yes—
326C2×Dic13C22×D412yes—
327C2×Dic13C22×D412yes—
328C2×Dic13C22×D412yes—
329D52—216no—
330D52—24no—
331D52—22no—
332D52C22×Q814yes—
333C4×D13—216no—
334C4×D13—28no—
335C4×D13—44no—
336C4×D13—48no—
337C4×D13—48no—
338C4×D13C22⋊Q818yes—
339C4×D13C22×Q814yes—
340C4×D13C2×#4114yes—
341Dic26—48no—
342Dic26—48no—
343C8×C13—22no—
344C8×C13—22no—
345#1055—22no—
346#1055—22no—
347C22×#41—131no—
348C23×C8—131no—
349C23×C8—131no—
350#533—138no—
351#533—264no—
352C2×C4⋊Q8—131no—
353C2×C4⋊Q8—131no—
354C2×#125—131no—
355C2×#125C2×D1311yescharacteristic
356C2×C22⋊Q8—261no—
357C2×C22⋊Q8—261no—
358C4×#41—138no—
359C4×#41—264no—
360C2×C4×Q8—131no—
361C2×C4×Q8—261no—
362C2×C4×Q8—261no—
363C2×C4×Q8C2×D1311yescharacteristic
364C2×C4×D4—131no—
365C2×C4×D4—131no—
366C2×C4×D4—261no—
367C2×C4×D4—261no—
368C2×#117—131no—
369C2×#117—131no—
370C2×#117—131no—
371C2×#117—261no—
372C22×C42—131no—
373C22×C42—261no—
374#479—138no—
375#479C2×D1318yescomplemented
376#478—138no—
377#478—138no—
378#477—138no—
379#476—138no—
380#475—138no—
381#474—138no—
382#427—138no—
383#427—138no—
384C2×#107—131no—
385C2×#107—131no—
386C2×#107—131no—
387C2×#107C2×D1311yescharacteristic
388C2×#106—131no—
389C2×#106—131no—
390C2×#106—131no—
391C2×#106C2×D1311yescharacteristic
392C2×C4⋊C8—131no—
393C2×C4⋊C8—131no—
394C2×C4⋊C8—131no—
395C2×C4⋊C8—138no—
396C2×C4⋊C8C2×D1311yescharacteristic
397#416—138no—
398#416—138no—
399C2×#103—131no—
400C2×#103—131no—
401C2×#103C2×D1311yescharacteristic
402C2×#103C2×D1311yescharacteristic
403C2×#102—131no—
404C2×#102—131no—
405C2×#102—131no—
406C2×#102—131no—
407C22×C13C2×C22⋊Q812yes—
408C22×C13C2×#13512yes—
409C22×C13#57512yes—
410C22×C13C23×D411yescharacteristic
411C2×D13—28no—
412C2×D13—22no—
413C2×D13—22no—
414C2×D13—24no—
415C2×D13—48no—
416C2×D13—42no—
417C2×D13—42no—
418C2×D13C2×C22⋊Q814yes—
419C4×C13—24no—
420C4×C13—22no—
421C4×C13—22no—
422C4×C13—42no—
423C4×C13—42no—
424C4×C13—42no—
425C4×C13C2×C22⋊Q812yes—
426C4×C13C23×Q811yescharacteristic
427C4×C13C22×#4111yescharacteristic
428Dic13—22no—
429Dic13—42no—
430Dic13—42no—
431Dic13—42no—
432Dic13C2×C22⋊Q814yes—
433Dic13C2×#13514yes—
434C2×#41—138no—
435C2×#41—134no—
436C2×#41—262no—
437C2×#41—264no—
438C22×Q8—261no—
439C22×Q8—261no—
440C22×Q8C22×D1311yescharacteristic
441C22×D4—131no—
442C22×D4—261no—
443C23×C4—131no—
444C23×C4—131no—
445C23×C4—131no—
446C23×C4—261no—
447C23×C4—261no—
448C23×C4—261no—
449C22×C8—131no—
450C22×C8—131no—
451C22×C8—134no—
452C22×C8—134no—
453C22×C8—264no—
454C22×C8—264no—
455C22×C8C22×D1311yescharacteristic
456C22×C8C22×D1311yescharacteristic
457C4⋊Q8—134no—
458C4⋊Q8—134no—
459C4⋊Q8—262no—
460C4⋊Q8—262no—
461#125—22no—
462#125—134no—
463#125—262no—
464#125C22×D1314yes—
465C22⋊Q8—268no—
466C22⋊Q8—268no—
467C4×Q8—22no—
468C4×Q8—134no—
469C4×Q8—268no—
470C4×Q8—268no—
471C4×Q8—262no—
472C4×Q8C22×D1314yes—
473C4×D4—134no—
474C4×D4—134no—
475C4×D4—268no—
476C4×D4—262no—
477C4×D4—268no—
478C4×D4—262no—
479#117—134no—
480#117—134no—
481#117—134no—
482#117—268no—
483#117—262no—
484#117—262no—
485#117—262no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—131no—
490C2×C4⋊C4—131no—
491C2×C4⋊C4—131no—
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×C22⋊C4—261no—
501C2×C22⋊C4—261no—
502C2×C22⋊C4—261no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4—261no—
505C2×C42—21no—
506C2×C42—131no—
507C2×C42—131no—
508C2×C42—131no—
509C2×C42—134no—
510C2×C42—134no—
511C2×C42—268no—
512C2×C42—261no—
513C2×C42—261no—
514C2×C42—261no—
515C2×C42—261no—
516C2×C42C22×D1311yescharacteristic
517#107—134no—
518#107—134no—
519#107—134no—
520#107C22×D1314yes—
521#106—134no—
522#106—134no—
523#106—134no—
524#106C22×D1314yes—
525C4⋊C8—134no—
526C4⋊C8—134no—
527C4⋊C8—134no—
528C4⋊C8C22×D1314yes—
529#103—134no—
530#103—134no—
531#103C22×D1314yes—
532#103C22×D1314yes—
533#102—134no—
534#102—134no—
535#102—134no—
536#102—134no—
537C2×C13#307614yescomplemented
538C2×C13C22×C22⋊Q811yescharacteristic
539C2×C13C22×#13511yescharacteristic
540C2×C13C2×#57511yescharacteristic
541D13—24no—
542D13—44no—
543C24—131no—
544C24—261no—
545#41—1316no—
546#41—2616no—
547#41—268no—
548C2×Q8—21no—
549C2×Q8—22no—
550C2×Q8—264no—
551C2×Q8—264no—
552C2×Q8—524no—
553C2×Q8—524no—
554C2×Q8Q8×D1314yes—
555C2×Q8C23×D1312yes—
556C2×D4—134no—
557C2×D4—132no—
558C2×D4—264no—
559C2×D4—268no—
560C2×D4—261no—
561C2×D4—262no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—131no—
567C22×C4—131no—
568C22×C4—132no—
569C22×C4—134no—
570C22×C4—134no—
571C22×C4—132no—
572C22×C4—131no—
573C22×C4—134no—
574C22×C4—134no—
575C22×C4—264no—
576C22×C4—264no—
577C22×C4—268no—
578C22×C4—264no—
579C22×C4—261no—
580C22×C4—261no—
581C22×C4—261no—
582C22×C4—264no—
583C22×C4—522no—
584C22×C4—524no—
585C22×C4—524no—
586C22×C4D4×D1311yescharacteristic
587C22×C4D4×D1311yescharacteristic
588C22×C4C23×D1311yescharacteristic
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—132no—
592C2×C8—132no—
593C2×C8—268no—
594C2×C8—268no—
595C2×C8—262no—
596C2×C8—262no—
597C2×C8C23×D1312yes—
598C2×C8C23×D1312yes—
599C4⋊C4—24no—
600C4⋊C4—24no—
601C4⋊C4—24no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—132no—
606C4⋊C4—132no—
607C4⋊C4—132no—
608C4⋊C4—264no—
609C4⋊C4—264no—
610C4⋊C4—264no—
611C4⋊C4—261no—
612C4⋊C4—261no—
613C4⋊C4—261no—
614C4⋊C4—264no—
615C4⋊C4—264no—
616C4⋊C4C23×D1312yes—
617C4⋊C4C23×D1312yes—
618C4⋊C4C23×D1312yes—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C22⋊C4—264no—
622C22⋊C4—264no—
623C22⋊C4—264no—
624C42—24no—
625C42—134no—
626C42—134no—
627C42—132no—
628C42—132no—
629C42—264no—
630C42—264no—
631C42—264no—
632C42—264no—
633C42D4×D1312yes—
634C42C23×D1312yes—
635C13C2×#307611yescharacteristic, complemented, Sylow
636C23—134no—
637C23—132no—
638C23—262no—
639C23—262no—
640C23—264no—
641C23—262no—
642C23—522no—
643C23—522no—
644C23C2×D4×D1311yescharacteristic
645Q8—24no—
646Q8—22no—
647Q8—528no—
648Q8—528no—
649Q8C2×Q8×D1314yes—
650D4—134no—
651D4—2616no—
652D4—264no—
653D4—262no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—134no—
665C2×C4—134no—
666C2×C4—132no—
667C2×C4—132no—
668C2×C4—138no—
669C2×C4—134no—
670C2×C4—134no—
671C2×C4—132no—
672C2×C4—268no—
673C2×C4—2616no—
674C2×C4—262no—
675C2×C4—262no—
676C2×C4—262no—
677C2×C4—262no—
678C2×C4—524no—
679C2×C4—528no—
680C2×C4—528no—
681C2×C4—522no—
682C2×C4—522no—
683C2×C4—522no—
684C2×C4C2×D4×D1312yes—
685C2×C4C2×D4×D1312yes—
686C2×C4C2×D4×D1311yescharacteristic
687C2×C4C2×Q8×D1312yes—
688C2×C4#41×D1312yes—
689C2×C4C24×D1311yescharacteristic
690C8—22no—
691C8—22no—
692C8—262no—
693C8—262no—
694C22—134no—
695C22—268no—
696C22—262no—
697C22—262no—
698C22—264no—
699C22—528no—
700C22—522no—
701C22—522no—
702C22D13×C22⋊Q812yes—
703C22D13×#13512yes—
704C22#1171948212yes—
705C22C22×D4×D1311yescharacteristic
706C4—22no—
707C4—22no—
708C4—24no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—134no—
713C4—134no—
714C4—262no—
715C4—522no—
716C4—522no—
717C4—522no—
718C4D13×C22⋊Q812yes—
719C4C22×Q8×D1311yescharacteristic
720C4C2×#41×D1311yescharacteristic
721C2—264no—
722C2—524no—
723C2#1312462314yesdirect product factor
724C2C2×D13×C22⋊Q811yescharacteristic
725C2C2×D13×#13511yescharacteristic
726C2C2×#1171948211yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#479C2
socleC23×C13C22×D4
prime radicalC22×#6131C22
hypercenterC2×#479D13
hypocenterC13C2×#3076
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
1. C2×#11719393C2semidirect
3. #13124623C2direct (N × H)
4. C2×#11718683C2semidirect
5. C2×#11718455C2semidirect
6. C2×#11718452C2semidirect
7. C2×#11718508C2semidirect
8. C2×#11718727C2semidirect
9. C2×#11718531C2semidirect
10. C2×#11718551C2semidirect
11. C2×#11718541C2semidirect
12. C2×#11718521C2semidirect
13. C2×D13×C4⋊C8C2semidirect
16. C2×C13×#479C2semidirect
24. #11719393C22semidirect
44. C13×#479C22semidirect
58. #11718727C22semidirect
59. #11718683C22semidirect
67. #11718551C22semidirect
68. #11718541C22semidirect
69. #11718531C22semidirect
70. #11718521C22semidirect
71. #11718508C22semidirect
72. D13×C4⋊C8C22semidirect
75. #11718455C22semidirect
76. #11718452C22semidirect
80. C2×#6131Q8semidirect
202. #6131C2×Q8semidirect
277. C2×#479D13semidirect
375. #479C2×D13semidirect
537. C2×C13#3076semidirect
635. C13C2×#3076semidirect
723. C2#13124623direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117193932
C2×C4×#61312
#131246232
C2×#117186832
C2×#117184552
C2×#117184522
C2×#117185082
C2×#117187272
C2×#117185312
C2×#117185512
C2×#117185412
C2×#117185212
C2×D13×C4⋊C82
C2×#117184652
C2×C13×#4792
C2×#307613