Finite Group Databasebeta

← C2×#13127363 #16741543

Subgroups — C2×#13127363 #16741543

Order 3328.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719437C211yesmaximal, characteristic
2C2×#11719286C211yesmaximal, characteristic
3#13127363C2116yesmaximal, direct product factor
4C2×#11718741C211yesmaximal, characteristic, complemented
5C2×#11718545C211yesmaximal, characteristic, complemented
6C2×#11718549C211yesmaximal, characteristic, complemented
7C2×#11718475C211yesmaximal, characteristic, complemented
8C2×#11718476C211yesmaximal, characteristic, complemented
9C2×#11718490C211yesmaximal, characteristic, complemented
10C2×#11718477C211yesmaximal, characteristic, complemented
11C2×#11718474C211yesmaximal, characteristic, complemented
12C2×#11718691C211yesmaximal, characteristic, complemented
13C2×#11718497C211yesmaximal, characteristic
14C2×#11718542C211yesmaximal, characteristic, complemented
15C2×#11718541C211yesmaximal, characteristic, complemented
16C2×C13×#477C211yesmaximal, characteristic, complemented
17C2×C13×C4⋊Q8C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×#88201—21no—
20C2×#88200C2211yescharacteristic
21C2×#88200C2211yescharacteristic
22C2×Q8×Dic13—21no—
23C22×#6107C2211yescharacteristic
24C22×#6094C2211yescharacteristic
25C22×C8×D13C2211yescharacteristic
26#11719437—24no—
27#11719437C2218yes—
28#11719286—24no—
29#11719286C2218yes—
30C2×#88152—21no—
31C2×#88152—21no—
32C2×#88151C2211yescharacteristic
33C2×#88151C2211yescharacteristic
34C2×#88148—21no—
35C2×#88146C2211yescharacteristic
36C2×#88146C2211yescharacteristic
37C2×#88146C2211yescharacteristic
38C2×C4⋊C4×D13C2211yescharacteristic
39C2×#88143—21no—
40C2×#88130—21no—
41C2×C4×D52C2211yescharacteristic
42C2×#88126—21no—
43C2×#88124C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C13×#477C2218yescomplemented
46C2×C13×#107C2211yescharacteristic
47C2×C13×#107C2211yescharacteristic
48C2×C13×C4⋊C8C2211yescharacteristic
49C2×C13×#103C2211yescharacteristic
50C2×C13×#103C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88060C2211yescharacteristic
53C2×#88060C2211yescharacteristic
54C2×#88058C2211yescharacteristic
55C2×#88057C2211yescharacteristic
56C2×#88056C2211yescharacteristic
57C2×#88056C2211yescharacteristic
58#11718741C2218yescomplemented
59#11718691C2218yescomplemented
60C2×#88050C2211yescharacteristic
61C2×#88048C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×#88043C2211yescharacteristic
67#11718549C2218yescomplemented
68#11718545C2218yescomplemented
69#11718542C2218yescomplemented
70#11718541C2218yescomplemented
71#11718497C2218yes—
72#11718490C2218yescomplemented
73#11718477C2218yescomplemented
74#11718476C2218yescomplemented
75#11718475C2218yescomplemented
76#11718474C2218yescomplemented
77C22×Q8×C13—21no—
78C22×Q8×C13C2311yescharacteristic
79C22×D52D411yescharacteristic
80C22×C4×D13—21no—
81C22×C4×D13C2311yescharacteristic
82C22×C4×D13C2311yescharacteristic
83C22×Dic26C2311yescharacteristic
84C22×C8×C13C2311yescharacteristic
85C22×C8×C13C2311yescharacteristic
86C13×C4⋊Q8—22no—
87C13×C4⋊Q8C2314yes—
88C4×Q8×C13—22no—
89C4×Q8×C13C2314yes—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—21no—
92C2×C13×C4⋊C4C2311yescharacteristic
93C2×C13×C4⋊C4C2311yescharacteristic
94C2×C13×C4⋊C4C2311yescharacteristic
95C2×C42×C13—21no—
96C2×C42×C13C2311yescharacteristic
97#88201—28no—
98#88200—22no—
99#88200—22no—
100#88200C2314yes—
101#88200C2314yes—
102Q8×Dic13—28no—
103C2×#6107—24no—
104C2×#6107C2314yes—
105C2×#6103—21no—
106C2×#6103—21no—
107C2×#6103—21no—
108C2×#6103—21no—
109C2×#6103—21no—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103D411yescharacteristic
113C2×#6103D411yescharacteristic
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13D411yescharacteristic
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×#6101—21no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×C4×Dic13—21no—
127C2×C4×Dic13—21no—
128C2×C4×Dic13—21no—
129C2×C4×Dic13—21no—
130C22×#1055C2311yescharacteristic
131C22×#1055C2311yescharacteristic
132C2×#6094—24no—
133C2×#6094C2314yes—
134C2×C8×D13—24no—
135C2×C8×D13C2314yes—
136#88152—28no—
137#88152—28no—
138#88151—22no—
139#88151—22no—
140#88151C2314yes—
141#88151C2314yes—
142#88148—28no—
143#88146—22no—
144#88146—22no—
145#88146—22no—
146#88146C2314yes—
147#88146C2314yes—
148#88146C2314yes—
149C4⋊C4×D13—22no—
150C4⋊C4×D13C2314yes—
151#88143—28no—
152#88130—28no—
153C4×D52D414yes—
154C4×D52C2314yes—
155#88126—28no—
156#88124—22no—
157#88124C2314yes—
158C4×Dic26—22no—
159C4×Dic26C2314yes—
160C13×#107C2314yes—
161C13×#107C2314yes—
162C13×C4⋊C8C2314yes—
163C13×#103C2314yes—
164C13×#103C2314yes—
165#88075C2314yes—
166#88060C2314yes—
167#88060C2314yes—
168#88058C2314yes—
169#88057C2314yes—
170#88056C2314yes—
171#88056C2314yes—
172#88050C2314yes—
173#88048C2314yes—
174#88048C2314yes—
175#88048C2314yes—
176#88047C2314yes—
177#88047C2314yes—
178#88043C2314yes—
179C2×#3349—131nomaximal, Sylow
180C23×D13C2×D411yescharacteristic
181C23×D13C2×D411yescharacteristic
182C2×Q8×C13—24no—
183C2×Q8×C13—21no—
184C2×Q8×C13—22no—
185C2×Q8×C13—22no—
186C2×Q8×C13—44no—
187C2×Q8×C13C2412yes—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2411yescharacteristic
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13C2×D411yescharacteristic
200C22×Dic13C2×D411yescharacteristic
201C2×D52—42no—
202C2×D52C2×D414yes—
203C2×C4×D13—22no—
204C2×C4×D13—22no—
205C2×C4×D13—22no—
206C2×C4×D13—22no—
207C2×C4×D13—24no—
208C2×C4×D13—44no—
209C2×C4×D13C2×D412yes—
210C2×C4×D13C2×D412yes—
211C2×C4×D13C2412yes—
212C2×C4×D13C2412yes—
213C2×Dic26—22no—
214C2×Dic26—22no—
215C2×Dic26—21no—
216C2×Dic26C2412yes—
217C2×C8×C13—22no—
218C2×C8×C13—22no—
219C2×C8×C13C2412yes—
220C2×C8×C13C2412yes—
221C13×C4⋊C4—24no—
222C13×C4⋊C4—21no—
223C13×C4⋊C4—21no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4—24no—
226C13×C4⋊C4C2412yes—
227C13×C4⋊C4C2412yes—
228C13×C4⋊C4C2412yes—
229C42×C13—24no—
230C42×C13C2×D412yes—
231C42×C13C2412yes—
232#6107—28no—
233#6103—24no—
234#6103—24no—
235#6103—24no—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239#6103—24no—
240#6103C2×D414yes—
241#6103C2×D414yes—
242C4⋊Dic13—21no—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—24no—
246C4⋊Dic13—24no—
247C4⋊Dic13C2×D414yes—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257C4×Dic13—24no—
258C4×Dic13—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C2×#1055—22no—
262C2×#1055#4114yes—
263C2×#1055C2412yes—
264C2×#1055C2412yes—
265#6094—28no—
266C8×D13—28no—
267C2×#556—131no—
268C2×#552—131no—
269#3349—1316no—
270C2×#501—131no—
271C2×#484—131no—
272C2×#485—131no—
273C2×#485—131no—
274C2×#485—131no—
275C2×#479—131no—
276C2×#477D1311yescharacteristic, complemented
277C2×#470—131no—
278C2×#467—131no—
279C2×#441—131no—
280C2×#435—131no—
281C2×#428—131no—
282C2×#427—131no—
283C23×C13C22×D411yescharacteristic
284C22×D13—22no—
285C22×D13—22no—
286C22×D13—22no—
287C22×D13—22no—
288C22×D13—22no—
289C22×D13—22no—
290C22×D13C22×D412yes—
291C22×D13C22×D412yes—
292Q8×C13—22no—
293Q8×C13—22no—
294Q8×C13—48no—
295Q8×C13—42no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—42no—
303C2×C4×C13—42no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D411yescharacteristic
309C2×C4×C13C2×#4112yes—
310C2×C4×C132−1+412yes—
311C2×C4×C13C2511yescharacteristic
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13C22×D412yes—
323C2×Dic13C22×D412yes—
324D52—44no—
325C4×D13—24no—
326C4×D13—24no—
327C4×D13—22no—
328C4×D13—22no—
329C4×D13—22no—
330C4×D13—22no—
331C4×D13—48no—
332Dic26—22no—
333Dic26—22no—
334Dic26—42no—
335C8×C13—22no—
336C8×C13—22no—
337#1055—22no—
338#1055C2×#4114yes—
339C22×Q16—131no—
340C22×M16—131no—
341C23×C8—131no—
342#556—138no—
343#556—264no—
344#552—138no—
345#552—264no—
346C2×C4⋊Q8C2×D1311yescharacteristic
347C2×#126—261no—
348C2×#126—261no—
349C2×#126—261no—
350C2×#125—131no—
351C2×#125—261no—
352C2×#124—261no—
353C2×#123—261no—
354C2×C22⋊Q8—131no—
355C2×C22⋊Q8—131no—
356C2×C22⋊Q8—131no—
357C2×C22⋊Q8—131no—
358C2×C4×Q8—131no—
359C2×C4×Q8—261no—
360C2×C4×Q8C2×D1311yescharacteristic
361C2×C4×D4—131no—
362C2×#117—131no—
363C2×#117—131no—
364C2×#117—131no—
365C2×#117—261no—
366C22×C4⋊C4—131no—
367#501—138no—
368#485—138no—
369#485—138no—
370#485—138no—
371#484—138no—
372#479—138no—
373#477C2×D1318yescomplemented
374#470—138no—
375#467—138no—
376#441—138no—
377#435—138no—
378#428—138no—
379#427—138no—
380C2×#107—131no—
381C2×#107—131no—
382C2×#107—131no—
383C2×#107C2×D1311yescharacteristic
384C2×#107C2×D1311yescharacteristic
385C2×#106—131no—
386C2×#106—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×C4⋊C8C2×D1311yescharacteristic
390C2×#103—131no—
391C2×#103—131no—
392C2×#103—131no—
393C2×#103—131no—
394C2×#103C2×D1311yescharacteristic
395C2×#103C2×D1311yescharacteristic
396C2×C22⋊C8—131no—
397C2×C22⋊C8—131no—
398C2×#97—131no—
399C22×C13#54712yes—
400C22×C13#57512yes—
401C22×C13#57812yes—
402C22×C13C23×D411yescharacteristic
403C2×D13—22no—
404C2×D13—22no—
405C2×D13—22no—
406C2×D13—22no—
407C2×D13—22no—
408C2×D13—22no—
409C2×D13—44no—
410C2×D13—44no—
411C4×C13—22no—
412C4×C13—22no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13—42no—
416C4×C13—42no—
417C4×C13#54712yes—
418C4×C13C22×#4111yescharacteristic
419C4×C13C2×2−1+411yescharacteristic
420Dic13—22no—
421Dic13—22no—
422Dic13—42no—
423Dic13—42no—
424Dic13—42no—
425Dic13—42no—
426C22×Q8—21no—
427C22×Q8—131no—
428C22×Q8C22×D1311yescharacteristic
429C22×D4—131no—
430C23×C4—131no—
431C23×C4—131no—
432C23×C4—261no—
433C2×Q16—134no—
434C2×Q16—264no—
435C2×M16—134no—
436C2×M16—264no—
437C22×C8—131no—
438C22×C8—131no—
439C22×C8—134no—
440C22×C8—264no—
441C22×C8C22×D1311yescharacteristic
442C22×C8C22×D1311yescharacteristic
443C4⋊Q8—22no—
444C4⋊Q8C22×D1314yes—
445#126—268no—
446#126—268no—
447#126—268no—
448#125—134no—
449#125—268no—
450#125—262no—
451#124—268no—
452#123—268no—
453C22⋊Q8—134no—
454C22⋊Q8—134no—
455C22⋊Q8—134no—
456C22⋊Q8—134no—
457C22⋊Q8—262no—
458C22⋊Q8—262no—
459C22⋊Q8—262no—
460C22⋊Q8—262no—
461C4×Q8—22no—
462C4×Q8—134no—
463C4×Q8—268no—
464C4×Q8—262no—
465C4×Q8C22×D1314yes—
466C4×D4—134no—
467C4×D4—134no—
468#117—134no—
469#117—134no—
470#117—134no—
471#117—268no—
472#117—262no—
473#117—262no—
474#117—262no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—134no—
482C2×C4⋊C4—262no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—261no—
489C2×C4⋊C4—261no—
490C2×C4⋊C4—261no—
491C2×C4⋊C4C22×D1311yescharacteristic
492C2×C4⋊C4C22×D1311yescharacteristic
493C2×C4⋊C4C22×D1311yescharacteristic
494C2×C22⋊C4—131no—
495C2×C22⋊C4—131no—
496C2×C22⋊C4—261no—
497C2×C22⋊C4—261no—
498C2×C22⋊C4—261no—
499C2×C22⋊C4—261no—
500C2×C22⋊C4—261no—
501C2×C22⋊C4—261no—
502C2×C22⋊C4—261no—
503C2×C42—21no—
504C2×C42—261no—
505C2×C42—261no—
506C2×C42—261no—
507C2×C42—261no—
508C2×C42C22×D1311yescharacteristic
509#107—134no—
510#107—134no—
511#107—134no—
512#107C22×D1314yes—
513#107C22×D1314yes—
514#106—134no—
515#106—134no—
516#106—134no—
517#106—134no—
518C4⋊C8C22×D1314yes—
519#103—134no—
520#103—134no—
521#103—134no—
522#103—134no—
523#103C22×D1314yes—
524#103C22×D1314yes—
525C22⋊C8—134no—
526C22⋊C8—134no—
527#97—134no—
528C2×C13#334914yescomplemented
529C2×C13C2×#54711yescharacteristic
530C2×C13C2×#57511yescharacteristic
531C2×C13C2×#57811yescharacteristic
532D13—42no—
533D13—42no—
534C24—131no—
535C24—131no—
536C2×Q8—21no—
537C2×Q8—24no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—44no—
541C2×Q8—132no—
542C2×Q8—261no—
543C2×Q8—262no—
544C2×Q8—262no—
545C2×Q8C23×D1312yes—
546C2×D4—134no—
547C2×D4—522no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—131no—
553C22×C4—131no—
554C22×C4—132no—
555C22×C4—132no—
556C22×C4—132no—
557C22×C4—132no—
558C22×C4—264no—
559C22×C4—262no—
560C22×C4—262no—
561C22×C4—262no—
562C22×C4—262no—
563C22×C4—261no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—524no—
568C22×C4D4×D1311yescharacteristic
569C22×C4D4×D1311yescharacteristic
570C22×C4C23×D1311yescharacteristic
571Q16—268no—
572M16—268no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—134no—
576C2×C8—132no—
577C2×C8—132no—
578C2×C8—268no—
579C2×C8—262no—
580C2×C8C23×D1312yes—
581C2×C8C23×D1312yes—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—134no—
588C4⋊C4—132no—
589C4⋊C4—132no—
590C4⋊C4—132no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4—261no—
597C4⋊C4—261no—
598C4⋊C4—261no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4C23×D1312yes—
603C4⋊C4C23×D1312yes—
604C4⋊C4C23×D1312yes—
605C22⋊C4—134no—
606C22⋊C4—134no—
607C22⋊C4—264no—
608C22⋊C4—264no—
609C22⋊C4—264no—
610C22⋊C4—264no—
611C22⋊C4—264no—
612C22⋊C4—264no—
613C22⋊C4—264no—
614C42—24no—
615C42—264no—
616C42—264no—
617C42—264no—
618C42—264no—
619C42D4×D1312yes—
620C42C23×D1312yes—
621C13C2×#334911yescharacteristic, complemented, Sylow
622C23—132no—
623C23—132no—
624C23—262no—
625C23—262no—
626C23—262no—
627C23—262no—
628C23—262no—
629C23—262no—
630C23C2×D4×D1311yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—48no—
634Q8—42no—
635Q8—262no—
636Q8—262no—
637Q8—522no—
638D4—524no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—132no—
650C2×C4—132no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—264no—
654C2×C4—264no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—528no—
664C2×C4—522no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4C2×D4×D1312yes—
669C2×C4C2×D4×D1312yes—
670C2×C4C2×D4×D1311yescharacteristic
671C2×C4#8825412yes—
672C2×C4#41×D1312yes—
673C2×C4C24×D1311yescharacteristic
674C8—22no—
675C8—22no—
676C8—134no—
677C8—262no—
678C22—262no—
679C22—262no—
680C22—262no—
681C22—262no—
682C22—262no—
683C22—262no—
684C22—524no—
685C22—524no—
686C22#1171933612yes—
687C22#1171947112yes—
688C22#1171947812yes—
689C22C22×D4×D1311yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—262no—
697C4—262no—
698C4—522no—
699C4—522no—
700C4—522no—
701C4—522no—
702C4#1171933612yes—
703C4C2×#8825411yescharacteristic
704C4C2×#41×D1311yescharacteristic
705C2—522no—
706C2—522no—
707C2#1312736314yesdirect product factor
708C2C2×#1171933611yescharacteristic
709C2C2×#1171947811yescharacteristic
710C2C2×#1171947111yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#477C2
socleC23×C13C22×D4
prime radicalC22×D52D4
hypercenterC2×#477D13
hypocenterC13C2×#3349
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
3. #13127363C2direct (N × H)
4. C2×#11718741C2semidirect
5. C2×#11718545C2semidirect
6. C2×#11718549C2semidirect
7. C2×#11718475C2semidirect
8. C2×#11718476C2semidirect
9. C2×#11718490C2semidirect
10. C2×#11718477C2semidirect
11. C2×#11718474C2semidirect
12. C2×#11718691C2semidirect
14. C2×#11718542C2semidirect
15. C2×#11718541C2semidirect
16. C2×C13×#477C2semidirect
45. C13×#477C22semidirect
58. #11718741C22semidirect
59. #11718691C22semidirect
67. #11718549C22semidirect
68. #11718545C22semidirect
69. #11718542C22semidirect
70. #11718541C22semidirect
72. #11718490C22semidirect
73. #11718477C22semidirect
74. #11718476C22semidirect
75. #11718475C22semidirect
76. #11718474C22semidirect
276. C2×#477D13semidirect
373. #477C2×D13semidirect
528. C2×C13#3349semidirect
621. C13C2×#3349semidirect
707. C2#13127363direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117194372
C2×#117192862
#131273632
C2×#117187412
C2×#117185452
C2×#117185492
C2×#117184752
C2×#117184762
C2×#117184902
C2×#117184772
C2×#117184742
C2×#117186912
C2×#117184972
C2×#117185422
C2×#117185412
C2×C13×#4772
C2×#334913