Finite Group Databasebeta

← C2×#13125971 #16734976

Subgroups — C2×#13125971 #16734976

Order 3328.

2058 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719393C211yesmaximal, characteristic, complemented
2C2×#11719253C211yesmaximal, characteristic
3#13125971C2116yesmaximal, direct product factor
4C2×#11718535C211yesmaximal, characteristic, complemented
5C2×#11718516C211yesmaximal, characteristic, complemented
6C2×#11718421C211yesmaximal, characteristic, complemented
7C2×#11718421C211yesmaximal, characteristic, complemented
8C2×#11718546C211yesmaximal, characteristic, complemented
9C2×#11718527C211yesmaximal, characteristic, complemented
10C2×#11718440C211yesmaximal, characteristic, complemented
11C2×#11718445C211yesmaximal, characteristic, complemented
12C2×#11718508C211yesmaximal, characteristic, complemented
13C2×#11718670C211yesmaximal, characteristic, complemented
14C2×#11718727C211yesmaximal, characteristic, complemented
15C2×#11718494C211yesmaximal, characteristic, complemented
16C2×C13×#478C211yesmaximal, characteristic, complemented
17C22×#6127—21no—
18C2×C13×#125C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×#88194C2211yescharacteristic
21C2×#88192C2211yescharacteristic
22C2×C4×C22⋊D13—21no—
23#11719393—24no—
24#11719393C2218yescomplemented
25#11719253—24no—
26#11719253C2218yes—
27C2×#88150—21no—
28C2×#88150—21no—
29C2×#88149C2211yescharacteristic
30C2×#88146C2211yescharacteristic
31C2×#88146C2211yescharacteristic
32C2×#88142C2211yescharacteristic
33C2×#88142C2211yescharacteristic
34C2×#88142C2211yescharacteristic
35C2×#88141—21no—
36C2×#88141—21no—
37C2×#88139—21no—
38C2×#88138—21no—
39C2×C4×D52C2211yescharacteristic
40C2×C42×D13C2211yescharacteristic
41C2×#88124C2211yescharacteristic
42C13×#478C2218yescomplemented
43C2×C13×#107C2211yescharacteristic
44C2×C13×#106C2211yescharacteristic
45C2×C13×C4⋊C8C2211yescharacteristic
46C2×C13×#102C2211yescharacteristic
47C2×C13×#102C2211yescharacteristic
48C2×#88072C2211yescharacteristic
49C2×#88072C2211yescharacteristic
50C2×#88061C2211yescharacteristic
51C2×#88061C2211yescharacteristic
52C2×#88060C2211yescharacteristic
53C2×#88060C2211yescharacteristic
54C2×#88058C2211yescharacteristic
55C2×#88057C2211yescharacteristic
56C2×C8×Dic13C2211yescharacteristic
57C2×C8×Dic13C2211yescharacteristic
58#11718727C2218yescomplemented
59#11718670C2218yescomplemented
60C2×#88049C2211yescharacteristic
61C2×#88049C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67#11718546C2218yescomplemented
68#11718535C2218yescomplemented
69#11718527C2218yescomplemented
70#11718516C2218yescomplemented
71#11718508C2218yescomplemented
72#11718494C2218yescomplemented
73#11718445C2218yescomplemented
74#11718440C2218yescomplemented
75#11718421C2218yescomplemented
76#11718421C2218yescomplemented
77C22×D4×C13C2311yescharacteristic
78C23×C4×C13—21no—
79C22×C22⋊D13—21no—
80C22×C22⋊D13—21no—
81C22×C22⋊D13—21no—
82C2×#6127—28no—
83C2×#6127—48no—
84C22×D52—21no—
85C22×D52C2311yescharacteristic
86C22×C4×D13—21no—
87C22×C4×D13D411yescharacteristic
88C22×C4×D13D411yescharacteristic
89C22×C4×D13C2311yescharacteristic
90C22×Dic26—21no—
91C22×Dic26—21no—
92C22×Dic26—21no—
93C22×C8×C13C2311yescharacteristic
94C22×C8×C13C2311yescharacteristic
95C13×#125—22no—
96C13×#125C2314yes—
97C4×D4×C13—22no—
98C4×D4×C13C2314yes—
99C2×C13×C4⋊C4—21no—
100C2×C13×C4⋊C4—21no—
101C2×C13×C4⋊C4C2311yescharacteristic
102C2×C13×C4⋊C4C2311yescharacteristic
103C2×C13×C4⋊C4C2311yescharacteristic
104C2×C13×C22⋊C4—21no—
105C2×C42×C13C2311yescharacteristic
106C2×C22⋊Dic13—21no—
107#88194—22no—
108#88194C2314yes—
109#88192—22no—
110#88192C2314yes—
111C4×C22⋊D13—28no—
112C2×#6103—21no—
113C2×#6103—21no—
114C2×#6103—21no—
115C2×#6103—21no—
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×C4×Dic13—21no—
125C2×C4×Dic13—21no—
126C2×C4×Dic13D411yescharacteristic
127C2×C4×Dic13D411yescharacteristic
128C2×C4×Dic13C2311yescharacteristic
129C22×#1055C2311yescharacteristic
130C22×#1055C2311yescharacteristic
131#88150—28no—
132#88150—28no—
133#88149—22no—
134#88149C2314yes—
135#88146—22no—
136#88146—22no—
137#88146C2314yes—
138#88146C2314yes—
139#88142—22no—
140#88142—22no—
141#88142—22no—
142#88142C2314yes—
143#88142C2314yes—
144#88142C2314yes—
145#88141—28no—
146#88141—28no—
147#88139—28no—
148#88138—28no—
149C4×D52—22no—
150C4×D52C2314yes—
151C42×D13D414yes—
152C42×D13C2314yes—
153#88124—22no—
154#88124C2314yes—
155C13×#107C2314yes—
156C13×#106C2314yes—
157C13×C4⋊C8C2314yes—
158C13×#102C2314yes—
159C13×#102C2314yes—
160#88072C2314yes—
161#88072C2314yes—
162#88061C2314yes—
163#88061C2314yes—
164#88060C2314yes—
165#88060C2314yes—
166#88058C2314yes—
167#88057C2314yes—
168C8×Dic13C2314yes—
169C8×Dic13C2314yes—
170#88049C2314yes—
171#88049C2314yes—
172#88048C2314yes—
173#88048C2314yes—
174#88047C2314yes—
175#88047C2314yes—
176C4⋊#1055C2314yes—
177C2×#3228—131nomaximal, Sylow
178C24×C13—21no—
179C23×D13—21no—
180C23×D13C2×D411yescharacteristic
181C2×D4×C13—21no—
182C2×D4×C13—22no—
183C2×D4×C13—22no—
184C2×D4×C13C2412yes—
185C22×C4×C13—21no—
186C22×C4×C13—21no—
187C22×C4×C13—21no—
188C22×C4×C13—24no—
189C22×C4×C13—44no—
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2411yescharacteristic
193C2×C22⋊D13—24no—
194C2×C22⋊D13—24no—
195C2×C22⋊D13—24no—
196C2×C22⋊D13—44no—
197C2×C22⋊D13—44no—
198C2×C22⋊D13—44no—
199C22×Dic13—21no—
200C22×Dic13—21no—
201C22×Dic13—21no—
202C22×Dic13C2×D411yescharacteristic
203C22×Dic13C2×D411yescharacteristic
204C22×Dic13C2×D411yescharacteristic
205#6127—432no—
206C2×D52—22no—
207C2×D52—22no—
208C2×D52—24no—
209C2×D52—21no—
210C2×D52—44no—
211C2×D52C2412yes—
212C2×C4×D13—22no—
213C2×C4×D13—22no—
214C2×C4×D13—24no—
215C2×C4×D13—24no—
216C2×C4×D13—24no—
217C2×C4×D13—44no—
218C2×C4×D13C2×D412yes—
219C2×C4×D13C2×D414yes—
220C2×C4×D13C2×D414yes—
221C2×C4×D13C2412yes—
222C2×Dic26—24no—
223C2×Dic26—24no—
224C2×Dic26—24no—
225C2×Dic26—44no—
226C2×Dic26—44no—
227C2×Dic26—44no—
228C2×C8×C13—22no—
229C2×C8×C13—22no—
230C2×C8×C13C2412yes—
231C2×C8×C13C2412yes—
232C13×C4⋊C4—24no—
233C13×C4⋊C4—24no—
234C13×C4⋊C4—21no—
235C13×C4⋊C4—21no—
236C13×C4⋊C4—21no—
237C13×C4⋊C4C2412yes—
238C13×C4⋊C4C2412yes—
239C13×C4⋊C4C2412yes—
240C13×C22⋊C4—24no—
241C42×C13C2×D412yes—
242C42×C13C2412yes—
243C22⋊Dic13—24no—
244#6103—24no—
245#6103—24no—
246#6103—24no—
247#6103—24no—
248C4⋊Dic13—21no—
249C4⋊Dic13—21no—
250C4⋊Dic13—21no—
251C4⋊Dic13C2412yes—
252C4⋊Dic13C2412yes—
253C4⋊Dic13C2412yes—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13C2×D412yes—
262C4×Dic13C2×D414yes—
263C4×Dic13C2×D414yes—
264C4×Dic13C2412yes—
265C2×#1055—22no—
266C2×#1055—22no—
267C2×#1055C2412yes—
268C2×#1055C2412yes—
269C2×#533—131no—
270C2×#532—131no—
271#3228—1316no—
272C2×#500—131no—
273C2×#498—131no—
274C2×#486—131no—
275C2×#486—131no—
276C2×#482—131no—
277C2×#482—131no—
278C2×#482—131no—
279C2×#482—131no—
280C2×#478—131no—
281C2×#478—131no—
282C2×#478—131no—
283C2×#478D1311yescharacteristic, complemented
284C2×#431—131no—
285C23×C13—22no—
286C23×C13—42no—
287C23×C13—42no—
288C23×C13—42no—
289C23×C13C22×D411yescharacteristic
290C22×D13—22no—
291C22×D13—22no—
292C22×D13—22no—
293C22×D13—22no—
294C22×D13—42no—
295C22×D13—42no—
296C22×D13—42no—
297C22×D13C22×D412yes—
298D4×C13—22no—
299D4×C13—22no—
300D4×C13—42no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—48no—
307C2×C4×C13—42no—
308C2×C4×C13—42no—
309C2×C4×C13—42no—
310C2×C4×C13C22×D412yes—
311C2×C4×C13C22×D412yes—
312C2×C4×C13C22×D411yescharacteristic
313C2×C4×C132−1+412yes—
314C2×C4×C132−1+412yes—
315C2×C4×C13C2511yescharacteristic
316C22⋊D13—48no—
317C22⋊D13—48no—
318C22⋊D13—48no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—42no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13#13514yes—
327C2×Dic13AGL(1,ℤ/8)14yes—
328C2×Dic13C22×D412yes—
329C2×Dic13C22×D412yes—
330C2×Dic13C22×D412yes—
331D52—22no—
332D52—22no—
333D52—48no—
334D52—42no—
335C4×D13—24no—
336C4×D13—22no—
337C4×D13—22no—
338C4×D13—28no—
339C4×D13—28no—
340C4×D13—48no—
341Dic26—48no—
342Dic26—48no—
343Dic26—48no—
344C8×C13—22no—
345C8×C13—22no—
346#1055—22no—
347#1055—22no—
348C22×#41—261no—
349#533—138no—
350#533—264no—
351#532—138no—
352#532—264no—
353C2×C4⋊Q8—131no—
354C2×C4⋊Q8—131no—
355C2×C4⋊Q8—131no—
356C2×#127—131no—
357C2×#125—131no—
358C2×#125C2×D1311yescharacteristic
359C2×#124—261no—
360C2×C22⋊Q8—261no—
361C2×C22⋊Q8—261no—
362C2×#121—131no—
363C2×#121—131no—
364C2×#121—261no—
365C2×C4×Q8—261no—
366C2×C4×Q8—261no—
367C2×C4×D4—131no—
368C2×C4×D4—261no—
369C2×C4×D4C2×D1311yescharacteristic
370C2×#117—131no—
371C2×#117—131no—
372C22×C42—131no—
373#500—138no—
374#498—138no—
375#486—138no—
376#486—138no—
377#482—138no—
378#482—138no—
379#482—138no—
380#482—138no—
381#478—138no—
382#478—138no—
383#478—138no—
384#478C2×D1318yescomplemented
385#431—138no—
386C2×#107—131no—
387C2×#107—131no—
388C2×#107—131no—
389C2×#107C2×D1311yescharacteristic
390C2×#106—131no—
391C2×#106—131no—
392C2×#106—131no—
393C2×#106C2×D1311yescharacteristic
394C2×C4⋊C8—131no—
395C2×C4⋊C8C2×D1311yescharacteristic
396C2×#102—131no—
397C2×#102—131no—
398C2×#102—131no—
399C2×#102—131no—
400C2×#102—131no—
401C2×#102—131no—
402C2×#102C2×D1311yescharacteristic
403C2×#102C2×D1311yescharacteristic
404C2×C22⋊C8—131no—
405C2×C22⋊C8—131no—
406C2×C4×C8—131no—
407C2×C4×C8—131no—
408C22×C13—42no—
409C22×C13—42no—
410C22×C13—42no—
411C22×C13—84no—
412C22×C13#53612yes—
413C22×C13C2×#13512yes—
414C22×C13C2×AGL(1,ℤ/8)12yes—
415C22×C13C23×D411yescharacteristic
416C2×D13—22no—
417C2×D13—22no—
418C2×D13—22no—
419C2×D13—44no—
420C2×D13—42no—
421C2×D13—42no—
422C2×D13—42no—
423C2×D13—84no—
424C4×C13—22no—
425C4×C13—22no—
426C4×C13—42no—
427C4×C13—42no—
428C4×C13—42no—
429C4×C13#53612yes—
430C4×C13C2×2−1+411yescharacteristic
431C4×C13C2×2−1+411yescharacteristic
432Dic13—22no—
433Dic13—42no—
434Dic13—42no—
435Dic13—42no—
436Dic13C2×#13514yes—
437Dic13C2×AGL(1,ℤ/8)14yes—
438C2×#41—268no—
439C2×#41—528no—
440C22×Q8—261no—
441C22×Q8—261no—
442C22×Q8—261no—
443C22×D4—131no—
444C22×D4—261no—
445C22×D4—261no—
446C22×D4—261no—
447C22×D4—261no—
448C22×D4C22×D1311yescharacteristic
449C23×C4—21no—
450C23×C4—131no—
451C23×C4—131no—
452C23×C4—131no—
453C23×C4—261no—
454C22×C8—131no—
455C22×C8—131no—
456C22×C8C22×D1311yescharacteristic
457C22×C8C22×D1311yescharacteristic
458C4⋊Q8—134no—
459C4⋊Q8—134no—
460C4⋊Q8—134no—
461C4⋊Q8—262no—
462C4⋊Q8—262no—
463C4⋊Q8—262no—
464#127—134no—
465#127—262no—
466#125—22no—
467#125—134no—
468#125—262no—
469#125C22×D1314yes—
470#124—268no—
471C22⋊Q8—268no—
472C22⋊Q8—268no—
473#121—134no—
474#121—134no—
475#121—268no—
476#121—262no—
477#121—262no—
478C4×Q8—268no—
479C4×Q8—268no—
480C4×D4—22no—
481C4×D4—134no—
482C4×D4—268no—
483C4×D4—262no—
484C4×D4C22×D1314yes—
485#117—134no—
486#117—134no—
487#117—262no—
488#117—262no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—21no—
491C2×C4⋊C4—131no—
492C2×C4⋊C4—131no—
493C2×C4⋊C4—131no—
494C2×C4⋊C4—261no—
495C2×C4⋊C4—261no—
496C2×C4⋊C4—261no—
497C2×C4⋊C4—261no—
498C2×C4⋊C4—261no—
499C2×C4⋊C4C22×D1311yescharacteristic
500C2×C4⋊C4C22×D1311yescharacteristic
501C2×C4⋊C4C22×D1311yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C42—131no—
509C2×C42—131no—
510C2×C42—131no—
511C2×C42—134no—
512C2×C42—134no—
513C2×C42—261no—
514C2×C42—261no—
515C2×C42C22×D1311yescharacteristic
516#107—134no—
517#107—134no—
518#107—134no—
519#107C22×D1314yes—
520#106—134no—
521#106—134no—
522#106—134no—
523#106C22×D1314yes—
524C4⋊C8—134no—
525C4⋊C8C22×D1314yes—
526#102—134no—
527#102—134no—
528#102—134no—
529#102—134no—
530#102—134no—
531#102—134no—
532#102C22×D1314yes—
533#102C22×D1314yes—
534C22⋊C8—134no—
535C22⋊C8—134no—
536C4×C8—134no—
537C4×C8—134no—
538C2×C13—82no—
539C2×C13#322814yescomplemented
540C2×C13C2×#53611yescharacteristic
541C2×C13C22×#13511yescharacteristic
542C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
543D13—42no—
544D13—82no—
545C24—21no—
546C24—131no—
547C24—261no—
548#41—5232no—
549C2×Q8—264no—
550C2×Q8—264no—
551C2×Q8—264no—
552C2×Q8—524no—
553C2×Q8—524no—
554C2×Q8—524no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—132no—
559C2×D4—264no—
560C2×D4—264no—
561C2×D4—264no—
562C2×D4—264no—
563C2×D4—261no—
564C2×D4—262no—
565C2×D4—262no—
566C2×D4—524no—
567C2×D4—524no—
568C2×D4—524no—
569C2×D4—524no—
570C2×D4C23×D1312yes—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—24no—
575C22×C4—44no—
576C22×C4—131no—
577C22×C4—131no—
578C22×C4—131no—
579C22×C4—132no—
580C22×C4—134no—
581C22×C4—134no—
582C22×C4—132no—
583C22×C4—264no—
584C22×C4—264no—
585C22×C4—262no—
586C22×C4—262no—
587C22×C4—261no—
588C22×C4—261no—
589C22×C4—261no—
590C22×C4—264no—
591C22×C4—524no—
592C22×C4D4×D1311yescharacteristic
593C22×C4D4×D1311yescharacteristic
594C22×C4C23×D1311yescharacteristic
595C2×C8—22no—
596C2×C8—22no—
597C2×C8—132no—
598C2×C8—132no—
599C2×C8—262no—
600C2×C8—262no—
601C2×C8C23×D1312yes—
602C2×C8C23×D1312yes—
603C4⋊C4—24no—
604C4⋊C4—24no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—132no—
609C4⋊C4—132no—
610C4⋊C4—132no—
611C4⋊C4—264no—
612C4⋊C4—264no—
613C4⋊C4—264no—
614C4⋊C4—261no—
615C4⋊C4—261no—
616C4⋊C4—261no—
617C4⋊C4—264no—
618C4⋊C4—264no—
619C4⋊C4C23×D1312yes—
620C4⋊C4C23×D1312yes—
621C4⋊C4C23×D1312yes—
622C22⋊C4—24no—
623C22⋊C4—264no—
624C22⋊C4—264no—
625C22⋊C4—264no—
626C22⋊C4—264no—
627C22⋊C4—264no—
628C42—134no—
629C42—134no—
630C42—132no—
631C42—132no—
632C42—264no—
633C42—264no—
634C42D4×D1312yes—
635C42C23×D1312yes—
636C13C2×#322811yescharacteristic, complemented, Sylow
637C23—22no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—132no—
642C23—262no—
643C23—262no—
644C23—262no—
645C23—262no—
646C23—522no—
647C23—522no—
648C23—522no—
649C23C2×D4×D1311yescharacteristic
650Q8—528no—
651Q8—528no—
652Q8—528no—
653D4—22no—
654D4—22no—
655D4—42no—
656D4—262no—
657D4—262no—
658D4—528no—
659D4—528no—
660D4—528no—
661D4—528no—
662D4—522no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—48no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—134no—
673C2×C4—134no—
674C2×C4—132no—
675C2×C4—132no—
676C2×C4—132no—
677C2×C4—268no—
678C2×C4—268no—
679C2×C4—262no—
680C2×C4—264no—
681C2×C4—262no—
682C2×C4—262no—
683C2×C4—262no—
684C2×C4—262no—
685C2×C4—262no—
686C2×C4—528no—
687C2×C4—522no—
688C2×C4—522no—
689C2×C4—522no—
690C2×C4C2×D4×D1312yes—
691C2×C4C2×D4×D1312yes—
692C2×C4C2×D4×D1311yescharacteristic
693C2×C4#8825412yes—
694C2×C4#8825712yes—
695C2×C4C24×D1311yescharacteristic
696C8—22no—
697C8—22no—
698C8—262no—
699C8—262no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—84no—
704C22—262no—
705C22—262no—
706C22—262no—
707C22—524no—
708C22—522no—
709C22—522no—
710C22—522no—
711C22—1044no—
712C22#1171933312yes—
713C22D13×#13512yes—
714C22D13×AGL(1,ℤ/8)12yes—
715C22C22×D4×D1311yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—42no—
720C4—42no—
721C4—134no—
722C4—134no—
723C4—262no—
724C4—522no—
725C4—522no—
726C4—522no—
727C4#1171933312yes—
728C4C2×#8825411yescharacteristic
729C4C2×#8825711yescharacteristic
730C2—82no—
731C2—522no—
732C2—1042no—
733C2#1312597114yesdirect product factor
734C2C2×#1171933311yescharacteristic
735C2C2×D13×#13511yescharacteristic
736C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#478C2
socleC23×C13C22×D4
prime radicalC2×#11719253C2
hypercenterC2×#478D13
hypocenterC13C2×#3228
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#11719393C2semidirect
3. #13125971C2direct (N × H)
4. C2×#11718535C2semidirect
5. C2×#11718516C2semidirect
6. C2×#11718421C2semidirect
7. C2×#11718421C2semidirect
8. C2×#11718546C2semidirect
9. C2×#11718527C2semidirect
10. C2×#11718440C2semidirect
11. C2×#11718445C2semidirect
12. C2×#11718508C2semidirect
13. C2×#11718670C2semidirect
14. C2×#11718727C2semidirect
15. C2×#11718494C2semidirect
16. C2×C13×#478C2semidirect
24. #11719393C22semidirect
42. C13×#478C22semidirect
58. #11718727C22semidirect
59. #11718670C22semidirect
67. #11718546C22semidirect
68. #11718535C22semidirect
69. #11718527C22semidirect
70. #11718516C22semidirect
71. #11718508C22semidirect
72. #11718494C22semidirect
73. #11718445C22semidirect
74. #11718440C22semidirect
75. #11718421C22semidirect
76. #11718421C22semidirect
283. C2×#478D13semidirect
384. #478C2×D13semidirect
539. C2×C13#3228semidirect
636. C13C2×#3228semidirect
733. C2#13125971direct (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×#117192532
#131259712
C2×#117185352
C2×#117185162
C2×#117184212
C2×#117185462
C2×#117185272
C2×#117184402
C2×#117184452
C2×#117185082
C2×#117186702
C2×#117187272
C2×#117184942
C2×C13×#4782
C2×#322813