Finite Group Databasebeta

← C2×#13126031 #16735059

Subgroups — C2×#13126031 #16735059

Order 3328.

2038 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×#11719222C211yesmaximal, characteristic, complemented
2C2×#11719301C211yesmaximal, characteristic
3#13126031C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718517C211yesmaximal, characteristic, complemented
6C2×#11718425C211yesmaximal, characteristic, complemented
7C2×#11718425C211yesmaximal, characteristic, complemented
8C2×#11718398C211yesmaximal, characteristic, complemented
9C2×#11718664C211yesmaximal, characteristic, complemented
10C2×#11718696C211yesmaximal, characteristic, complemented
11C2×#11718531C211yesmaximal, characteristic, complemented
12C2×#11718422C211yesmaximal, characteristic, complemented
13C2×#11718551C211yesmaximal, characteristic, complemented
14C2×#11718420C211yesmaximal, characteristic, complemented
15C2×#11718380C211yesmaximal, characteristic, complemented
16C2×C13×#482C211yesmaximal, characteristic, complemented
17C22×#6129—21no—
18C2×C13×#121C2211yescharacteristic
19C2×C13×#117C2211yescharacteristic
20C2×#88194C2211yescharacteristic
21C2×#88193—21no—
22C2×D4×Dic13C2211yescharacteristic
23C2×#88184C2211yescharacteristic
24C2×#88180C2211yescharacteristic
25C22×C4×Dic13C2211yescharacteristic
26#11719301—24no—
27#11719301C2218yes—
28#11719222—24no—
29#11719222C2218yescomplemented
30C2×#88147C2211yescharacteristic
31C2×#88144C2211yescharacteristic
32C2×#88144C2211yescharacteristic
33C2×#88142C2211yescharacteristic
34C2×#88142C2211yescharacteristic
35C2×#88142C2211yescharacteristic
36C2×#88139—21no—
37C2×#88135—21no—
38C2×#88132—21no—
39C2×#88132—21no—
40C2×C4×Dic26—21no—
41C2×C4×Dic26—21no—
42C13×#482C2218yescomplemented
43C2×C13×#107C2211yescharacteristic
44C2×C13×#106C2211yescharacteristic
45C2×C13×#102C2211yescharacteristic
46C2×C13×#102C2211yescharacteristic
47C2×C13×C22⋊C8C2211yescharacteristic
48C2×#88072C2211yescharacteristic
49C2×#88072C2211yescharacteristic
50C2×C22⋊#1055C2211yescharacteristic
51C2×#88061C2211yescharacteristic
52C2×#88061C2211yescharacteristic
53C2×#88058C2211yescharacteristic
54C2×#88057C2211yescharacteristic
55C2×#88055C2211yescharacteristic
56C2×#88055C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58C2×#88054C2211yescharacteristic
59#11718696C2218yescomplemented
60#11718664C2218yescomplemented
61C2×#88049C2211yescharacteristic
62C2×#88049C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×#88047C2211yescharacteristic
67#11718551C2218yescomplemented
68#11718537C2218yescomplemented
69#11718531C2218yescomplemented
70#11718517C2218yescomplemented
71#11718425C2218yescomplemented
72#11718425C2218yescomplemented
73#11718422C2218yescomplemented
74#11718420C2218yescomplemented
75#11718398C2218yescomplemented
76#11718380C2218yescomplemented
77C22×D4×C13—21no—
78C22×D4×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C22×C22⋊D13—21no—
81C22×C22⋊D13—21no—
82C22×C22⋊D13—21no—
83C23×Dic13—21no—
84C23×Dic13D411yescharacteristic
85C23×Dic13D411yescharacteristic
86C2×#6129—28no—
87C2×#6129—48no—
88C22×D52C2311yescharacteristic
89C22×C4×D13—21no—
90C22×Dic26—21no—
91C22×Dic26—21no—
92C22×Dic26—21no—
93C22×C8×C13C2311yescharacteristic
94C22×C8×C13C2311yescharacteristic
95C13×#121—22no—
96C13×#121C2314yes—
97C13×#117—22no—
98C13×#117C2314yes—
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C13×C4⋊C4C2311yescharacteristic
101C2×C13×C4⋊C4C2311yescharacteristic
102C2×C13×C22⋊C4—21no—
103C2×C13×C22⋊C4—21no—
104C2×C42×C13—21no—
105C2×C22⋊Dic13—21no—
106C2×C22⋊Dic13—21no—
107#88194—22no—
108#88194C2314yes—
109#88193—28no—
110D4×Dic13—22no—
111D4×Dic13C2314yes—
112#88184—22no—
113#88184C2314yes—
114C2×#6103—21no—
115C2×#6103—21no—
116#88180—22no—
117#88180C2314yes—
118C2×C4⋊Dic13—21no—
119C2×C4⋊Dic13—21no—
120C2×C4⋊Dic13C2311yescharacteristic
121C2×C4⋊Dic13C2311yescharacteristic
122C2×C4⋊Dic13C2311yescharacteristic
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×C4×Dic13—21no—
129C2×C4×Dic13D411yescharacteristic
130C2×C4×Dic13D411yescharacteristic
131C2×C4×Dic13D414yes—
132C2×C4×Dic13C2311yescharacteristic
133C2×C4×Dic13C2311yescharacteristic
134C2×C4×Dic13C2314yes—
135C22×#1055C2311yescharacteristic
136C22×#1055C2311yescharacteristic
137#88147—22no—
138#88147C2314yes—
139#88144—22no—
140#88144—22no—
141#88144C2314yes—
142#88144C2314yes—
143#88142—22no—
144#88142—22no—
145#88142—22no—
146#88142C2314yes—
147#88142C2314yes—
148#88142C2314yes—
149#88139—28no—
150#88135—28no—
151#88132—28no—
152#88132—28no—
153C4×Dic26—28no—
154C4×Dic26—28no—
155C13×#107C2314yes—
156C13×#106C2314yes—
157C13×#102C2314yes—
158C13×#102C2314yes—
159C13×C22⋊C8C2314yes—
160#88072C2314yes—
161#88072C2314yes—
162C22⋊#1055C2314yes—
163#88061C2314yes—
164#88061C2314yes—
165#88058C2314yes—
166#88057C2314yes—
167#88055C2314yes—
168#88055C2314yes—
169#88054C2314yes—
170#88054C2314yes—
171#88049C2314yes—
172#88049C2314yes—
173#88048C2314yes—
174#88048C2314yes—
175#88047C2314yes—
176#88047C2314yes—
177C2×#3235—131nomaximal, Sylow
178C24×C13—21no—
179C24×C13C2×D411yescharacteristic
180C23×D13—21no—
181C2×D4×C13—24no—
182C2×D4×C13—21no—
183C2×D4×C13—22no—
184C2×D4×C13—22no—
185C2×D4×C13—44no—
186C2×D4×C13C2412yes—
187C22×C4×C13—22no—
188C22×C4×C13—22no—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D412yes—
194C22×C4×C13C2412yes—
195C22×C4×C13C2411yescharacteristic
196C2×C22⋊D13—24no—
197C2×C22⋊D13—24no—
198C2×C22⋊D13—24no—
199C2×C22⋊D13—44no—
200C2×C22⋊D13—44no—
201C2×C22⋊D13—44no—
202C22×Dic13—24no—
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—24no—
207C22×Dic13—42no—
208C22×Dic13—44no—
209C22×Dic13C2×D414yes—
210C22×Dic13C2×D411yescharacteristic
211C22×Dic13C2×D411yescharacteristic
212C22×Dic13C2×D411yescharacteristic
213C22×Dic13C2×D414yes—
214C22×Dic13C2×D411yescharacteristic
215#6129—432no—
216C2×D52—22no—
217C2×D52—22no—
218C2×D52—21no—
219C2×D52C2412yes—
220C2×C4×D13—24no—
221C2×C4×D13—44no—
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—21no—
233C13×C4⋊C4—21no—
234C13×C4⋊C4—21no—
235C13×C4⋊C4C2412yes—
236C13×C4⋊C4C2412yes—
237C13×C4⋊C4C2412yes—
238C13×C22⋊C4—24no—
239C13×C22⋊C4—24no—
240C42×C13—24no—
241C22⋊Dic13—24no—
242C22⋊Dic13—24no—
243#6103—24no—
244#6103—24no—
245C4⋊Dic13—21no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13—24no—
249C4⋊Dic13—24no—
250C4⋊Dic13C2412yes—
251C4⋊Dic13C2412yes—
252C4⋊Dic13C2412yes—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258C4×Dic13—24no—
259C4×Dic13C2×D414yes—
260C4×Dic13C2×D414yes—
261C4×Dic13C2×D412yes—
262C4×Dic13C2×D412yes—
263C4×Dic13C2412yes—
264C4×Dic13C2412yes—
265C2×#1055—22no—
266C2×#1055—22no—
267C2×#1055C2412yes—
268C2×#1055C2412yes—
269C2×#533—131no—
270C2×#532—131no—
271#3235—1316no—
272C2×#501—131no—
273C2×#501—131no—
274C2×#490—131no—
275C2×#490—131no—
276C2×#482—131no—
277C2×#482—131no—
278C2×#482—131no—
279C2×#482D1311yescharacteristic, complemented
280C2×#476—131no—
281C2×#476—131no—
282C2×#474—131no—
283C2×#474—131no—
284C2×#432—131no—
285C23×C13—22no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13—22no—
289C23×C13—42no—
290C23×C13—42no—
291C23×C13—42no—
292C23×C13C22×D412yes—
293C23×C13C22×D411yescharacteristic
294C22×D13—22no—
295C22×D13—42no—
296C22×D13—42no—
297C22×D13—42no—
298D4×C13—22no—
299D4×C13—22no—
300D4×C13—48no—
301D4×C13—42no—
302C2×C4×C13—22no—
303C2×C4×C13—24no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—22no—
307C2×C4×C13—22no—
308C2×C4×C13—22no—
309C2×C4×C13—42no—
310C2×C4×C13—42no—
311C2×C4×C13—42no—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D411yescharacteristic
314C2×C4×C132−1+412yes—
315C2×C4×C132−1+412yes—
316C2×C4×C13C2511yescharacteristic
317C22⋊D13—48no—
318C22⋊D13—48no—
319C22⋊D13—48no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—28no—
324C2×Dic13—22no—
325C2×Dic13—22no—
326C2×Dic13—22no—
327C2×Dic13—44no—
328C2×Dic13—42no—
329C2×Dic13—42no—
330C2×Dic13—42no—
331C2×Dic13—48no—
332C2×Dic13AGL(1,ℤ/8)14yes—
333C2×Dic13C22×D412yes—
334C2×Dic13C22×D412yes—
335C2×Dic13C22×D412yes—
336C2×Dic13C22×D412yes—
337D52—22no—
338D52—22no—
339D52—42no—
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×#125—131no—
359C2×#124—261no—
360C2×C22⋊Q8—261no—
361C2×C22⋊Q8—261no—
362C2×#121—131no—
363C2×#121—261no—
364C2×#121C2×D1311yescharacteristic
365C2×C4×Q8—261no—
366C2×C4×Q8—261no—
367C2×C4×D4—131no—
368C2×C4×D4—131no—
369C2×C4×D4—261no—
370C2×#117—131no—
371C2×#117C2×D1311yescharacteristic
372C22×C42—131no—
373#501—138no—
374#501—138no—
375#490—138no—
376#490—138no—
377#482—138no—
378#482—138no—
379#482—138no—
380#482C2×D1318yescomplemented
381#476—138no—
382#476—138no—
383#474—138no—
384#474—138no—
385#432—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⋊C8—131no—
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⋊C8C2×D1311yescharacteristic
406C2×#97—131no—
407C2×#97—131no—
408C22×C13—22no—
409C22×C13—22no—
410C22×C13—22no—
411C22×C13—44no—
412C22×C13—42no—
413C22×C13—42no—
414C22×C13—42no—
415C22×C13—84no—
416C22×C13#53612yes—
417C22×C13C2×AGL(1,ℤ/8)12yes—
418C22×C13#57512yes—
419C22×C13C23×D411yescharacteristic
420C2×D13—42no—
421C2×D13—42no—
422C2×D13—42no—
423C2×D13—84no—
424C4×C13—22no—
425C4×C13—42no—
426C4×C13—42no—
427C4×C13—42no—
428C4×C13#53612yes—
429C4×C13C2×2−1+411yescharacteristic
430C4×C13C2×2−1+411yescharacteristic
431Dic13—22no—
432Dic13—22no—
433Dic13—22no—
434Dic13—42no—
435Dic13—42no—
436Dic13—42no—
437Dic13C2×AGL(1,ℤ/8)14yes—
438C2×#41—268no—
439C2×#41—528no—
440C22×Q8—261no—
441C22×Q8—261no—
442C22×Q8—261no—
443C22×D4—21no—
444C22×D4—131no—
445C22×D4—261no—
446C22×D4—261no—
447C22×D4—261no—
448C22×D4C22×D1311yescharacteristic
449C23×C4—131no—
450C23×C4—131no—
451C23×C4—261no—
452C23×C4—261no—
453C23×C4C22×D1311yescharacteristic
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—134no—
467#125—134no—
468#125—262no—
469#125—262no—
470#124—268no—
471C22⋊Q8—268no—
472C22⋊Q8—268no—
473#121—22no—
474#121—134no—
475#121—268no—
476#121—262no—
477#121C22×D1314yes—
478C4×Q8—268no—
479C4×Q8—268no—
480C4×D4—134no—
481C4×D4—134no—
482C4×D4—268no—
483C4×D4—262no—
484C4×D4—262no—
485#117—22no—
486#117—134no—
487#117—262no—
488#117C22×D1314yes—
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⋊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—21no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C42—21no—
509C2×C42—131no—
510C2×C42—131no—
511C2×C42—134no—
512C2×C42—131no—
513C2×C42—131no—
514C2×C42—134no—
515C2×C42—261no—
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⋊C8—134no—
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⋊C8C22×D1314yes—
536#97—134no—
537#97—134no—
538C2×C13—42no—
539C2×C13—82no—
540C2×C13#323514yescomplemented
541C2×C13C2×#53611yescharacteristic
542C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
543C2×C13C2×#57511yescharacteristic
544D13—82no—
545C24—21no—
546C24—261no—
547C24D4×D1311yescharacteristic
548#41—5232no—
549C2×Q8—264no—
550C2×Q8—264no—
551C2×Q8—264no—
552C2×Q8—524no—
553C2×Q8—524no—
554C2×Q8—524no—
555C2×D4—24no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—44no—
560C2×D4—132no—
561C2×D4—264no—
562C2×D4—264no—
563C2×D4—264no—
564C2×D4—261no—
565C2×D4—262no—
566C2×D4—262no—
567C2×D4—524no—
568C2×D4—524no—
569C2×D4—524no—
570C2×D4C23×D1312yes—
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—131no—
577C22×C4—134no—
578C22×C4—131no—
579C22×C4—131no—
580C22×C4—131no—
581C22×C4—134no—
582C22×C4—264no—
583C22×C4—264no—
584C22×C4—264no—
585C22×C4—261no—
586C22×C4—261no—
587C22×C4—261no—
588C22×C4—524no—
589C22×C4—524no—
590C22×C4—522no—
591C22×C4D4×D1312yes—
592C22×C4D4×D1311yescharacteristic
593C22×C4C23×D1312yes—
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—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—132no—
607C4⋊C4—132no—
608C4⋊C4—132no—
609C4⋊C4—264no—
610C4⋊C4—264no—
611C4⋊C4—264no—
612C4⋊C4—264no—
613C4⋊C4—264no—
614C4⋊C4—264no—
615C4⋊C4—264no—
616C4⋊C4—261no—
617C4⋊C4—261no—
618C4⋊C4—261no—
619C4⋊C4C23×D1312yes—
620C4⋊C4C23×D1312yes—
621C4⋊C4C23×D1312yes—
622C22⋊C4—24no—
623C22⋊C4—24no—
624C22⋊C4—264no—
625C22⋊C4—264no—
626C22⋊C4—264no—
627C22⋊C4—264no—
628C42—24no—
629C42—134no—
630C42—132no—
631C42—134no—
632C42—132no—
633C42—132no—
634C42—132no—
635C42—264no—
636C13C2×#323511yescharacteristic, complemented, Sylow
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—262no—
645C23—522no—
646C23—522no—
647C23—522no—
648C23C2×D4×D1312yes—
649C23C2×D4×D1311yescharacteristic
650Q8—528no—
651Q8—528no—
652Q8—528no—
653D4—22no—
654D4—22no—
655D4—48no—
656D4—42no—
657D4—262no—
658D4—262no—
659D4—528no—
660D4—528no—
661D4—528no—
662D4—522no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—134no—
674C2×C4—132no—
675C2×C4—132no—
676C2×C4—132no—
677C2×C4—132no—
678C2×C4—268no—
679C2×C4—262no—
680C2×C4—262no—
681C2×C4—262no—
682C2×C4—262no—
683C2×C4—262no—
684C2×C4—262no—
685C2×C4—528no—
686C2×C4—528no—
687C2×C4—524no—
688C2×C4—522no—
689C2×C4—522no—
690C2×C4—522no—
691C2×C4C2×D4×D1312yes—
692C2×C4C2×D4×D1311yescharacteristic
693C2×C4#8825712yes—
694C2×C4#8825712yes—
695C2×C4C24×D1311yescharacteristic
696C8—22no—
697C8—22no—
698C8—262no—
699C8—262no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—84no—
708C22—522no—
709C22—522no—
710C22—522no—
711C22—1044no—
712C22#1171935312yes—
713C22#1171947312yes—
714C22D13×AGL(1,ℤ/8)12yes—
715C22C22×D4×D1311yescharacteristic
716C4—22no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—134no—
721C4—262no—
722C4—262no—
723C4—262no—
724C4—522no—
725C4—522no—
726C4—522no—
727C4#1171935312yes—
728C4C2×#8825711yescharacteristic
729C4C2×#8825711yescharacteristic
730C2—42no—
731C2—82no—
732C2—1042no—
733C2#1312603114yesdirect product factor
734C2C2×#1171935311yescharacteristic
735C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
736C2C2×#1171947311yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#482C2
socleC23×C13C22×D4
prime radicalC2×#11719301C2
hypercenterC2×#482D13
hypocenterC13C2×#3235
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#11719222C2semidirect
3. #13126031C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718517C2semidirect
6. C2×#11718425C2semidirect
7. C2×#11718425C2semidirect
8. C2×#11718398C2semidirect
9. C2×#11718664C2semidirect
10. C2×#11718696C2semidirect
11. C2×#11718531C2semidirect
12. C2×#11718422C2semidirect
13. C2×#11718551C2semidirect
14. C2×#11718420C2semidirect
15. C2×#11718380C2semidirect
16. C2×C13×#482C2semidirect
29. #11719222C22semidirect
42. C13×#482C22semidirect
59. #11718696C22semidirect
60. #11718664C22semidirect
67. #11718551C22semidirect
68. #11718537C22semidirect
69. #11718531C22semidirect
70. #11718517C22semidirect
71. #11718425C22semidirect
72. #11718425C22semidirect
73. #11718422C22semidirect
74. #11718420C22semidirect
75. #11718398C22semidirect
76. #11718380C22semidirect
279. C2×#482D13semidirect
380. #482C2×D13semidirect
540. C2×C13#3235semidirect
636. C13C2×#3235semidirect
733. C2#13126031direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192222
C2×#117193012
#131260312
C2×#117185372
C2×#117185172
C2×#117184252
C2×#117183982
C2×#117186642
C2×#117186962
C2×#117185312
C2×#117184222
C2×#117185512
C2×#117184202
C2×#117183802
C2×C13×#4822
C2×#323513