Finite Group Databasebeta

← C2×#13127296 #16741471

Subgroups — C2×#13127296 #16741471

Order 3328.

1878 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×#11719284C211yesmaximal, characteristic
2C2×#11719286C211yesmaximal, characteristic
3#13127296C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718470C211yesmaximal, characteristic, complemented
6C2×#11718475C211yesmaximal, characteristic, complemented
7C2×#11718466C211yesmaximal, characteristic, complemented
8C2×#11718466C211yesmaximal, characteristic, complemented
9C2×#11718683C211yesmaximal, characteristic, complemented
10C2×#11718681C211yesmaximal, characteristic, complemented
11C2×#11718850C211yesmaximal, characteristic, complemented
12C2×#11718849C211yesmaximal, characteristic, complemented
13C2×#11718367C211yesmaximal, characteristic
14C2×#11718522C211yesmaximal, characteristic, complemented
15C2×D13×#106C211yesmaximal, characteristic, complemented
16C2×C13×#441C211yesmaximal, characteristic, complemented
17C22×C13×Q16C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20C2×#88200C2211yescharacteristic
21C2×#88200C2211yescharacteristic
22C2×#88200C2211yescharacteristic
23C2×#88200C2211yescharacteristic
24C22×#6094C2211yescharacteristic
25C22×C8×D13C2211yescharacteristic
26#11719286—24no—
27#11719286C2218yes—
28#11719284—24no—
29#11719284C2218yes—
30C2×#88150—21no—
31C2×#88150—21no—
32C2×#88148—21no—
33C2×#88146C2211yescharacteristic
34C2×C4⋊C4×D13C2211yescharacteristic
35C2×C4⋊C4×D13C2211yescharacteristic
36C2×C4⋊C4×D13C2211yescharacteristic
37C2×#88143—21no—
38C2×#88130—21no—
39C2×C4×D52—21no—
40C2×C4×D52C2211yescharacteristic
41C2×#88126—21no—
42C2×#88124—21no—
43C2×#88124C2211yescharacteristic
44C2×#88123C2211yescharacteristic
45C13×#441C2218yescomplemented
46C2×C13×#106C2211yescharacteristic
47C2×C13×#103C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88075C2211yescharacteristic
53C2×#88075C2211yescharacteristic
54#11718850C2218yescomplemented
55#11718849C2218yescomplemented
56C2×#88060C2211yescharacteristic
57C2×#88060C2211yescharacteristic
58C2×#88058C2211yescharacteristic
59C2×#88058C2211yescharacteristic
60C2×#88057C2211yescharacteristic
61C2×#88057C2211yescharacteristic
62#11718683C2218yescomplemented
63#11718681C2218yescomplemented
64C2×#88048C2211yescharacteristic
65C2×#88048C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88047C2211yescharacteristic
68C2×C4⋊#1055C2211yescharacteristic
69#11718522C2218yescomplemented
70D13×#106C2218yescomplemented
71#11718475C2218yescomplemented
72#11718470C2218yescomplemented
73#11718466C2218yescomplemented
74#11718466C2218yescomplemented
75#11718367C2218yes—
76#11718363C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×Q8×C13C2311yescharacteristic
79C22×D52D411yescharacteristic
80C22×C4×D13—21no—
81C22×C4×D13—21no—
82C22×C4×D13—21no—
83C22×C4×D13C2311yescharacteristic
84C22×C4×D13C2311yescharacteristic
85C22×Dic26—21no—
86C2×C13×Q16—24no—
87C2×C13×Q16C2314yes—
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C4×Q8×C13—22no—
91C4×Q8×C13—22no—
92C4×Q8×C13C2314yes—
93C4×Q8×C13C2314yes—
94C2×C13×C4⋊C4—21no—
95C2×C13×C4⋊C4—21no—
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C42×C13—21no—
99C2×C42×C13—21no—
100C2×C42×C13C2311yescharacteristic
101#88200—22no—
102#88200—22no—
103#88200—22no—
104#88200—22no—
105#88200C2314yes—
106#88200C2314yes—
107#88200C2314yes—
108#88200C2314yes—
109C2×#6103—21no—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103—21no—
113C2×#6103—21no—
114C2×#6103D411yescharacteristic
115C2×#6103D411yescharacteristic
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13D411yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×C4⋊Dic13C2311yescharacteristic
121C2×C4⋊Dic13C2311yescharacteristic
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101—21no—
129C2×#6101—21no—
130C2×#6101—21no—
131C2×C4×Dic13—21no—
132C22×#1055C2311yescharacteristic
133C22×#1055C2311yescharacteristic
134C2×#6094—24no—
135C2×#6094C2314yes—
136C2×C8×D13—24no—
137C2×C8×D13C2314yes—
138#88150—28no—
139#88150—28no—
140#88148—28no—
141#88146—22no—
142#88146C2314yes—
143C4⋊C4×D13—22no—
144C4⋊C4×D13—22no—
145C4⋊C4×D13—22no—
146C4⋊C4×D13C2314yes—
147C4⋊C4×D13C2314yes—
148C4⋊C4×D13C2314yes—
149#88143—28no—
150#88130—28no—
151C4×D52—28no—
152C4×D52D414yes—
153C4×D52C2314yes—
154#88126—28no—
155#88124—22no—
156#88124—28no—
157#88124C2314yes—
158#88123—22no—
159#88123C2314yes—
160C13×#106C2314yes—
161C13×#103C2314yes—
162C13×#103C2314yes—
163C13×#97C2314yes—
164#88075C2314yes—
165#88075C2314yes—
166#88075C2314yes—
167#88075C2314yes—
168#88060C2314yes—
169#88060C2314yes—
170#88058C2314yes—
171#88058C2314yes—
172#88057C2314yes—
173#88057C2314yes—
174#88048C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88047C2314yes—
178C4⋊#1055C2314yes—
179C2×#3344—131nomaximal, Sylow
180C23×D13C2×D411yescharacteristic
181C23×D13C2×D411yescharacteristic
182C2×Q8×C13—21no—
183C2×Q8×C13—21no—
184C2×Q8×C13—22no—
185C2×Q8×C13—22no—
186C2×Q8×C13—22no—
187C2×Q8×C13—22no—
188C2×Q8×C13C2412yes—
189C2×Q8×C13C2412yes—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—21no—
193C22×C4×C13—21no—
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2411yescharacteristic
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13—21no—
201C22×Dic13C2×D411yescharacteristic
202C22×Dic13C2×D411yescharacteristic
203C2×D52—24no—
204C2×D52C2×D414yes—
205C2×C4×D13—22no—
206C2×C4×D13—22no—
207C2×C4×D13—22no—
208C2×C4×D13—22no—
209C2×C4×D13—24no—
210C2×C4×D13—24no—
211C2×C4×D13—24no—
212C2×C4×D13—44no—
213C2×C4×D13—82no—
214C2×C4×D13—82no—
215C2×C4×D13C2×D412yes—
216C2×C4×D13C2×D412yes—
217C2×C4×D13C2412yes—
218C2×C4×D13C2412yes—
219C2×Dic26—24no—
220C2×Dic26—82no—
221C13×Q16—28no—
222C2×C8×C13—22no—
223C2×C8×C13#4114yes—
224C2×C8×C13C2412yes—
225C2×C8×C13C2412yes—
226C13×C4⋊C4—24no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—24no—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C42×C13—24no—
233C42×C13—24no—
234C42×C13C2×D412yes—
235C42×C13C2412yes—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239#6103—24no—
240#6103—24no—
241#6103C2×D414yes—
242#6103C2×D414yes—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—24no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13C2×D414yes—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251C4⋊Dic13C2412yes—
252C4⋊Dic13C2412yes—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259#6101—24no—
260#6101—24no—
261#6101—24no—
262C4×Dic13—24no—
263C2×#1055—22no—
264C2×#1055—22no—
265C2×#1055C2412yes—
266C2×#1055C2412yes—
267#6094—28no—
268C8×D13—28no—
269C2×#554—131no—
270C2×#552—131no—
271#3344—1316no—
272C2×#501—131no—
273C2×#484—131no—
274C2×#485—131no—
275C2×#483—131no—
276C2×#483—131no—
277C2×#479—131no—
278C2×#475—131no—
279C2×#470—131no—
280C2×#467—131no—
281C2×#441D1311yescharacteristic, complemented
282C2×#435—131no—
283C2×#428—131no—
284C22×#106—131no—
285C23×C13C22×D411yescharacteristic
286C22×D13—22no—
287C22×D13—22no—
288C22×D13—22no—
289C22×D13—22no—
290C22×D13—22no—
291C22×D13#13714yes—
292C22×D13C22×D412yes—
293C22×D13C22×D412yes—
294Q8×C13—22no—
295Q8×C13—22no—
296Q8×C13—22no—
297Q8×C13—22no—
298Q8×C13—42no—
299Q8×C13—42no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—42no—
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×C13C2×#4112yes—
314C2×C4×C132−1+412yes—
315C2×C4×C13C2511yescharacteristic
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—42no—
323C2×Dic13—42no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13C22×D412yes—
327C2×Dic13C22×D412yes—
328D52—28no—
329C4×D13—24no—
330C4×D13—24no—
331C4×D13—22no—
332C4×D13—22no—
333C4×D13—22no—
334C4×D13—22no—
335C4×D13—48no—
336C4×D13—84no—
337C4×D13—84no—
338Dic26—84no—
339C8×C13—22no—
340C8×C13C2×#4114yes—
341#1055—22no—
342#1055—22no—
343C22×Q16C2×D1311yescharacteristic
344C22×M16—131no—
345C23×C8—131no—
346#554—138no—
347#554—264no—
348#552—138no—
349#552—264no—
350C2×C4⋊Q8—131no—
351C2×#126—261no—
352C2×#125—131no—
353C2×#125—261no—
354C2×#125—261no—
355C2×#123—261no—
356C2×C22⋊Q8—131no—
357C2×C22⋊Q8—131no—
358C2×C22⋊Q8—131no—
359C2×C22⋊Q8—131no—
360C2×C22⋊Q8—261no—
361C2×C22⋊Q8—261no—
362C2×C4×Q8C2×D1311yescharacteristic
363C2×C4×Q8C2×D1311yescharacteristic
364C2×C4×D4—131no—
365C2×C4×D4—261no—
366C2×#117—131no—
367C2×#117—261no—
368C22×C4⋊C4—131no—
369C22×C4⋊C4—131no—
370C22×C4⋊C4—131no—
371#501—138no—
372#485—138no—
373#484—138no—
374#483—138no—
375#483—138no—
376#479—138no—
377#475—138no—
378#470—138no—
379#467—138no—
380#441C2×D1318yescomplemented
381#435—138no—
382#428—138no—
383C2×#107—131no—
384C2×#107—131no—
385C2×#107—131no—
386C2×#106—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×#106—131no—
390C2×#106—131no—
391C2×#106—138no—
392C2×#106C2×D1311yescharacteristic
393C2×C4⋊C8—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#103C2×D1311yescharacteristic
399C2×#103C2×D1311yescharacteristic
400C2×C22⋊C8—131no—
401C2×C22⋊C8—131no—
402C2×#97C2×D1311yescharacteristic
403C22×C13#54712yes—
404C22×C13C2×#13712yes—
405C22×C13#57712yes—
406C22×C13C23×D411yescharacteristic
407C2×D13—28no—
408C2×D13—22no—
409C2×D13—22no—
410C2×D13—22no—
411C2×D13—22no—
412C2×D13—22no—
413C2×D13—44no—
414C2×D13C2×#13714yes—
415C4×C13—22no—
416C4×C13—22no—
417C4×C13—42no—
418C4×C13—42no—
419C4×C13—42no—
420C4×C13—42no—
421C4×C13#54712yes—
422C4×C13C22×#4111yescharacteristic
423C4×C13C2×2−1+411yescharacteristic
424Dic13—22no—
425Dic13—22no—
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13—42no—
430C22×Q8—261no—
431C22×Q8C22×D1311yescharacteristic
432C22×Q8C22×D1311yescharacteristic
433C22×D4—131no—
434C23×C4—131no—
435C23×C4—131no—
436C23×C4—261no—
437C23×C4—261no—
438C23×C4—261no—
439C2×Q16—24no—
440C2×Q16C22×D1314yes—
441C2×M16—134no—
442C2×M16—264no—
443C22×C8—131no—
444C22×C8—131no—
445C22×C8—134no—
446C22×C8—264no—
447C22×C8C22×D1311yescharacteristic
448C22×C8C22×D1311yescharacteristic
449C4⋊Q8—134no—
450C4⋊Q8—262no—
451#126—268no—
452#125—134no—
453#125—268no—
454#125—268no—
455#125—262no—
456#123—268no—
457C22⋊Q8—134no—
458C22⋊Q8—134no—
459C22⋊Q8—134no—
460C22⋊Q8—134no—
461C22⋊Q8—268no—
462C22⋊Q8—268no—
463C22⋊Q8—262no—
464C22⋊Q8—262no—
465C22⋊Q8—262no—
466C22⋊Q8—262no—
467C4×Q8—22no—
468C4×Q8—22no—
469C4×Q8C22×D1314yes—
470C4×Q8C22×D1314yes—
471C4×D4—134no—
472C4×D4—134no—
473C4×D4—268no—
474#117—134no—
475#117—268no—
476#117—262no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—131no—
483C2×C4⋊C4—131no—
484C2×C4⋊C4—134no—
485C2×C4⋊C4—134no—
486C2×C4⋊C4—134no—
487C2×C4⋊C4—262no—
488C2×C4⋊C4—262no—
489C2×C4⋊C4—262no—
490C2×C4⋊C4—261no—
491C2×C4⋊C4—261no—
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⋊C4—261no—
500C2×C4⋊C4C22×D1311yescharacteristic
501C2×C4⋊C4C22×D1311yescharacteristic
502C2×C22⋊C4—131no—
503C2×C22⋊C4—131no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C22⋊C4—261no—
509C2×C42—21no—
510C2×C42—21no—
511C2×C42—261no—
512C2×C42C22×D1311yescharacteristic
513#107—134no—
514#107—134no—
515#107—134no—
516#106—134no—
517#106—134no—
518#106—134no—
519#106—134no—
520#106—134no—
521#106C22×D1314yes—
522C4⋊C8—134no—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#103C22×D1314yes—
528#103C22×D1314yes—
529C22⋊C8—134no—
530C22⋊C8—134no—
531#97C22×D1314yes—
532C2×C13#334414yescomplemented
533C2×C13C2×#54711yescharacteristic
534C2×C13C22×#13711yescharacteristic
535C2×C13C2×#57711yescharacteristic
536D13—24no—
537D13—42no—
538C24—131no—
539C24—131no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—22no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—264no—
547C2×Q8—1042no—
548C2×Q8C23×D1312yes—
549C2×Q8C23×D1312yes—
550C2×D4—134no—
551C2×D4—264no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—131no—
557C22×C4—131no—
558C22×C4—132no—
559C22×C4—132no—
560C22×C4—132no—
561C22×C4—132no—
562C22×C4—264no—
563C22×C4—264no—
564C22×C4—264no—
565C22×C4—262no—
566C22×C4—262no—
567C22×C4—262no—
568C22×C4—262no—
569C22×C4—261no—
570C22×C4—261no—
571C22×C4—261no—
572C22×C4—261no—
573C22×C4—524no—
574C22×C4—1042no—
575C22×C4—1042no—
576C22×C4D4×D1311yescharacteristic
577C22×C4D4×D1311yescharacteristic
578C22×C4C23×D1311yescharacteristic
579Q16—28no—
580M16—268no—
581C2×C8—22no—
582C2×C8—132no—
583C2×C8—132no—
584C2×C8—262no—
585C2×C8—262no—
586C2×C8—268no—
587C2×C8#612714yes—
588C2×C8C23×D1312yes—
589C2×C8C23×D1312yes—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—134no—
595C4⋊C4—132no—
596C4⋊C4—132no—
597C4⋊C4—132no—
598C4⋊C4—132no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—261no—
607C4⋊C4—261no—
608C4⋊C4—261no—
609C4⋊C4—261no—
610C4⋊C4—264no—
611C4⋊C4—264no—
612C4⋊C4—264no—
613C4⋊C4C23×D1312yes—
614C4⋊C4C23×D1312yes—
615C22⋊C4—134no—
616C22⋊C4—134no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C22⋊C4—264no—
622C42—24no—
623C42—24no—
624C42—264no—
625C42D4×D1312yes—
626C42C23×D1312yes—
627C13C2×#334411yescharacteristic, complemented, Sylow
628C23—134no—
629C23—132no—
630C23—132no—
631C23—262no—
632C23—262no—
633C23—262no—
634C23—262no—
635C23—262no—
636C23C2×D4×D1311yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—22no—
640Q8—22no—
641Q8—42no—
642Q8—42no—
643Q8—1044no—
644D4—268no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—132no—
656C2×C4—132no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—264no—
660C2×C4—264no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—528no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—1044no—
675C2×C4—1044no—
676C2×C4C2×#612712yes—
677C2×C4C2×D4×D1312yes—
678C2×C4C2×D4×D1312yes—
679C2×C4C2×D4×D1311yescharacteristic
680C2×C4#8825712yes—
681C2×C4C24×D1311yescharacteristic
682C8—22no—
683C8—262no—
684C8—262no—
685C8C2×#612714yes—
686C22—134no—
687C22—262no—
688C22—262no—
689C22—268no—
690C22—262no—
691C22—262no—
692C22—262no—
693C22—524no—
694C22#1171925612yes—
695C22D13×#13712yes—
696C22#1171948312yes—
697C22C22×D4×D1311yescharacteristic
698C4—22no—
699C4—22no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—262no—
705C4—262no—
706C4—522no—
707C4—522no—
708C4—522no—
709C4—522no—
710C4#1171925612yes—
711C4C22×#612711yescharacteristic
712C4C2×#8825711yescharacteristic
713C2—264no—
714C2—522no—
715C2#1312729614yesdirect product factor
716C2C2×#1171925611yescharacteristic
717C2C2×D13×#13711yescharacteristic
718C2C2×#1171948311yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#441C2
socleC23×C13C22×D4
prime radicalC22×D52D4
hypercenterC2×#441D13
hypocenterC13C2×#3344
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
3. #13127296C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718470C2semidirect
6. C2×#11718475C2semidirect
7. C2×#11718466C2semidirect
8. C2×#11718466C2semidirect
9. C2×#11718683C2semidirect
10. C2×#11718681C2semidirect
11. C2×#11718850C2semidirect
12. C2×#11718849C2semidirect
14. C2×#11718522C2semidirect
15. C2×D13×#106C2semidirect
16. C2×C13×#441C2semidirect
45. C13×#441C22semidirect
54. #11718850C22semidirect
55. #11718849C22semidirect
62. #11718683C22semidirect
63. #11718681C22semidirect
69. #11718522C22semidirect
70. D13×#106C22semidirect
71. #11718475C22semidirect
72. #11718470C22semidirect
73. #11718466C22semidirect
74. #11718466C22semidirect
76. #11718363C22semidirect
281. C2×#441D13semidirect
380. #441C2×D13semidirect
532. C2×C13#3344semidirect
627. C13C2×#3344semidirect
715. C2#13127296direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192842
C2×#117192862
#131272962
C2×#117183632
C2×#117184702
C2×#117184752
C2×#117184662
C2×#117186832
C2×#117186812
C2×#117188502
C2×#117188492
C2×#117183672
C2×#117185222
C2×D13×#1062
C2×C13×#4412
C2×#334413