Finite Group Databasebeta

← C2×#13127292 #16741467

Subgroups — C2×#13127292 #16741467

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×#11719216C211yesmaximal, characteristic
2C2×#11719234C211yesmaximal, characteristic
3#13127292C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718545C211yesmaximal, characteristic, complemented
6C2×#11718657C211yesmaximal, characteristic, complemented
7C2×#11718523C211yesmaximal, characteristic, complemented
8C2×#11718632C211yesmaximal, characteristic, complemented
9C2×#11718538C211yesmaximal, characteristic, complemented
10C2×#11718515C211yesmaximal, characteristic, complemented
11C2×#11718798C211yesmaximal, characteristic, complemented
12C2×#11718548C211yesmaximal, characteristic, complemented
13C2×#11718514C211yesmaximal, characteristic, complemented
14C2×#11718788C211yesmaximal, characteristic
15C2×D13×#106C211yesmaximal, characteristic, complemented
16C2×C13×#428C211yesmaximal, characteristic, complemented
17C22×C13×M16C2211yescharacteristic
18C2×C13×#117C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C2×C4×C22⋊D13—21no—
21C2×C4×C22⋊D13C2211yescharacteristic
22C2×#88178—21no—
23C2×#88178C2211yescharacteristic
24C2×#88178C2211yescharacteristic
25C22×Dic52C2211yescharacteristic
26C22×C8×D13C2211yescharacteristic
27#11719234—24no—
28#11719234C2218yes—
29#11719216—24no—
30#11719216C2218yes—
31C2×#88151C2211yescharacteristic
32C2×#88151C2211yescharacteristic
33C2×#88150—21no—
34C2×C4⋊C4×D13C2211yescharacteristic
35C2×C4⋊C4×D13C2211yescharacteristic
36C2×#88144C2211yescharacteristic
37C2×#88143—21no—
38C2×#88142C2211yescharacteristic
39C2×#88141C2211yescharacteristic
40C2×#88141C2211yescharacteristic
41C2×#88137—21no—
42C2×#88133—21no—
43C2×#88126—21no—
44C2×#88124—21no—
45C13×#428C2218yescomplemented
46C2×C13×#107C2211yescharacteristic
47C2×C13×#107C2211yescharacteristic
48C2×C13×#106C2211yescharacteristic
49C2×C13×#106C2211yescharacteristic
50C2×C22⋊#1055C2211yescharacteristic
51#11718798C2218yescomplemented
52#11718788C2218yes—
53C2×#88060C2211yescharacteristic
54C2×#88057C2211yescharacteristic
55C2×#88056C2211yescharacteristic
56C2×#88056C2211yescharacteristic
57C2×#88055C2211yescharacteristic
58C2×#88054C2211yescharacteristic
59#11718657C2218yescomplemented
60#11718632C2218yescomplemented
61C2×#88050C2211yescharacteristic
62C2×#88050C2211yescharacteristic
63C2×#88050C2211yescharacteristic
64C2×#88050C2211yescharacteristic
65C2×#88048C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88048C2211yescharacteristic
68C2×#88047C2211yescharacteristic
69#11718548C2218yescomplemented
70#11718545C2218yescomplemented
71#11718538C2218yescomplemented
72#11718537C2218yescomplemented
73#11718523C2218yescomplemented
74D13×#106C2218yescomplemented
75#11718515C2218yescomplemented
76#11718514C2218yescomplemented
77C23×C4×C13—21no—
78C23×C4×C13C2311yescharacteristic
79C22×C22⋊D13D411yescharacteristic
80C22×C4×D13—21no—
81C22×C4×D13—21no—
82C22×C4×D13C2311yescharacteristic
83C22×Dic26—21no—
84C22×Dic26C2311yescharacteristic
85C22×Dic26C2311yescharacteristic
86C2×C13×M16—24no—
87C2×C13×M16C2314yes—
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C13×#117—22no—
91C13×#117C2314yes—
92C2×C13×C4⋊C4—21no—
93C2×C13×C4⋊C4—22no—
94C2×C13×C4⋊C4C2311yescharacteristic
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2314yes—
99C2×C13×C22⋊C4—21no—
100C2×C42×C13—21no—
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13—21no—
103C2×C22⋊Dic13D411yescharacteristic
104C4×C22⋊D13—28no—
105C4×C22⋊D13D414yes—
106C4×C22⋊D13C2314yes—
107C2×#6103—21no—
108C2×#6103—21no—
109C2×#6103D411yescharacteristic
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13C2311yescharacteristic
114C2×C4⋊Dic13C2311yescharacteristic
115#88178—22no—
116#88178—22no—
117#88178—28no—
118#88178C2314yes—
119#88178C2314yes—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101D411yescharacteristic
129C2×C4×Dic13—21no—
130C2×C4×Dic13—21no—
131C2×C4×Dic13C2311yescharacteristic
132C22×#1055C2311yescharacteristic
133C22×#1055C2311yescharacteristic
134C2×Dic52—24no—
135C2×Dic52C2314yes—
136C2×C8×D13—24no—
137C2×C8×D13C2314yes—
138#88151—22no—
139#88151—22no—
140#88151C2314yes—
141#88151C2314yes—
142#88150—28no—
143C4⋊C4×D13—22no—
144C4⋊C4×D13—22no—
145C4⋊C4×D13C2314yes—
146C4⋊C4×D13C2314yes—
147#88144—22no—
148#88144C2314yes—
149#88143—28no—
150#88142—22no—
151#88142C2314yes—
152#88141—22no—
153#88141—22no—
154#88141C2314yes—
155#88141C2314yes—
156#88137—28no—
157#88133—28no—
158#88126—28no—
159#88124—28no—
160C13×#107C2314yes—
161C13×#107C2314yes—
162C13×#106C2314yes—
163C13×#106C2314yes—
164C22⋊#1055C2314yes—
165#88060C2314yes—
166#88057C2314yes—
167#88056C2314yes—
168#88056C2314yes—
169#88055C2314yes—
170#88054C2314yes—
171#88050C2314yes—
172#88050C2314yes—
173#88050C2314yes—
174#88050C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88048C2314yes—
178#88047C2314yes—
179C2×#3344—131nomaximal, Sylow
180C24×C13C2×D411yescharacteristic
181C23×D13C2×D411yescharacteristic
182C22×C4×C13—22no—
183C22×C4×C13—22no—
184C22×C4×C13—21no—
185C22×C4×C13—21no—
186C22×C4×C13—21no—
187C22×C4×C13—21no—
188C22×C4×C13—24no—
189C22×C4×C13—82no—
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D412yes—
192C22×C4×C13C2412yes—
193C22×C4×C13C2411yescharacteristic
194C2×C22⋊D13—24no—
195C2×C22⋊D13C2×D414yes—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13C2×D411yescharacteristic
201C22×Dic13C2×D411yescharacteristic
202C22×Dic13C2×D411yescharacteristic
203C2×C4×D13—22no—
204C2×C4×D13—22no—
205C2×C4×D13—24no—
206C2×C4×D13—24no—
207C2×C4×D13—44no—
208C2×C4×D13—82no—
209C2×C4×D13C2×D412yes—
210C2×C4×D13C2412yes—
211C2×Dic26—22no—
212C2×Dic26—22no—
213C2×Dic26—22no—
214C2×Dic26—22no—
215C2×Dic26—21no—
216C2×Dic26—21no—
217C2×Dic26—24no—
218C2×Dic26—82no—
219C2×Dic26C2412yes—
220C2×Dic26C2412yes—
221C13×M16—28no—
222C2×C8×C13—22no—
223C2×C8×C13#4114yes—
224C2×C8×C13C2412yes—
225C2×C8×C13C2412yes—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—24no—
230C13×C4⋊C4—21no—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C4⋊C4C2412yes—
234C13×C4⋊C4C2412yes—
235C13×C22⋊C4—24no—
236C42×C13—24no—
237C22⋊Dic13—24no—
238C22⋊Dic13—24no—
239C22⋊Dic13C2×D414yes—
240#6103—24no—
241#6103—24no—
242#6103C2×D414yes—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—24no—
246C4⋊Dic13—24no—
247C4⋊Dic13—24no—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101C2×D414yes—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13C2×D412yes—
262C4×Dic13C2412yes—
263C2×#1055—22no—
264C2×#1055—22no—
265C2×#1055C2412yes—
266C2×#1055C2412yes—
267Dic52—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×#441—131no—
282C2×#435—131no—
283C2×#428D1311yescharacteristic, complemented
284C22×#106—131no—
285C23×C13—22no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13C22×D412yes—
289C23×C13C22×D411yescharacteristic
290C22×D13—22no—
291C22×D13—22no—
292C22×D13#13714yes—
293C22×D13C22×D412yes—
294C2×C4×C13—22no—
295C2×C4×C13—24no—
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×C13—84no—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D411yescharacteristic
309C2×C4×C13C2×#4112yes—
310C2×C4×C132−1+412yes—
311C2×C4×C13C2511yescharacteristic
312C22⋊D13—28no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13—42no—
324C2×Dic13C22×D412yes—
325C2×Dic13C22×D412yes—
326C2×Dic13C22×D412yes—
327C4×D13—24no—
328C4×D13—22no—
329C4×D13—22no—
330C4×D13—48no—
331C4×D13—84no—
332Dic26—22no—
333Dic26—22no—
334Dic26—22no—
335Dic26—22no—
336Dic26—42no—
337Dic26—42no—
338Dic26—84no—
339C8×C13—22no—
340C8×C13C2×#4114yes—
341#1055—22no—
342#1055—22no—
343C22×Q16—131no—
344C22×M16C2×D1311yescharacteristic
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×Q8—131no—
363C2×C4×Q8—131no—
364C2×C4×D4—131no—
365C2×C4×D4—261no—
366C2×#117—261no—
367C2×#117C2×D1311yescharacteristic
368C22×C4⋊C4—131no—
369C22×C4⋊C4—131no—
370C22×C4⋊C4C2×D1311yescharacteristic
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#441—138no—
381#435—138no—
382#428C2×D1318yescomplemented
383C2×#107—131no—
384C2×#107C2×D1311yescharacteristic
385C2×#107C2×D1311yescharacteristic
386C2×#106—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×#106—131no—
390C2×#106—138no—
391C2×#106C2×D1311yescharacteristic
392C2×#106C2×D1311yescharacteristic
393C2×C4⋊C8—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#103—131no—
399C2×#103—131no—
400C2×C22⋊C8—131no—
401C2×C22⋊C8—131no—
402C2×#97—131no—
403C22×C13—22no—
404C22×C13—22no—
405C22×C13—22no—
406C22×C13—44no—
407C22×C13#54712yes—
408C22×C13C2×#13712yes—
409C22×C13#57712yes—
410C22×C13C23×D411yescharacteristic
411C2×D13—28no—
412C2×D13—22no—
413C2×D13—22no—
414C2×D13C2×#13714yes—
415C4×C13—22no—
416C4×C13—42no—
417C4×C13—42no—
418C4×C13—42no—
419C4×C13—42no—
420C4×C13#54712yes—
421C4×C13C22×#4111yescharacteristic
422C4×C13C2×2−1+411yescharacteristic
423Dic13—22no—
424Dic13—22no—
425Dic13—22no—
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13—42no—
430C22×Q8—131no—
431C22×Q8—131no—
432C22×Q8—261no—
433C22×D4—131no—
434C23×C4—21no—
435C23×C4—131no—
436C23×C4—261no—
437C23×C4—261no—
438C23×C4C22×D1311yescharacteristic
439C2×Q16—134no—
440C2×Q16—264no—
441C2×M16—24no—
442C2×M16C22×D1314yes—
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—262no—
455#125—268no—
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—134no—
468C4×Q8—134no—
469C4×Q8—262no—
470C4×Q8—262no—
471C4×D4—134no—
472C4×D4—134no—
473C4×D4—268no—
474#117—22no—
475#117—268no—
476#117C22×D1314yes—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—134no—
483C2×C4⋊C4—134no—
484C2×C4⋊C4—262no—
485C2×C4⋊C4—262no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—261no—
489C2×C4⋊C4—261no—
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⋊C4C22×D1311yescharacteristic
498C2×C4⋊C4C22×D1311yescharacteristic
499C2×C4⋊C4C22×D1311yescharacteristic
500C2×C4⋊C4C22×D1314yes—
501C2×C4⋊C4C22×D1311yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—131no—
504C2×C22⋊C4—131no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C22⋊C4—261no—
509C2×C42—21no—
510C2×C42—131no—
511C2×C42—261no—
512C2×C42—261no—
513#107—134no—
514#107C22×D1314yes—
515#107C22×D1314yes—
516#106—134no—
517#106—134no—
518#106—134no—
519#106—134no—
520#106C22×D1314yes—
521#106C22×D1314yes—
522C4⋊C8—134no—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#103—134no—
528#103—134no—
529C22⋊C8—134no—
530C22⋊C8—134no—
531#97—134no—
532C2×C13—42no—
533C2×C13#334414yescomplemented
534C2×C13C2×#54711yescharacteristic
535C2×C13C22×#13711yescharacteristic
536C2×C13C2×#57711yescharacteristic
537D13—24no—
538C24—131no—
539C24D4×D1311yescharacteristic
540C2×Q8—132no—
541C2×Q8—132no—
542C2×Q8—264no—
543C2×Q8—261no—
544C2×Q8—261no—
545C2×Q8—262no—
546C2×Q8—262no—
547C2×Q8—262no—
548C2×Q8—262no—
549C2×Q8—1042no—
550C2×D4—134no—
551C2×D4—264no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—24no—
559C22×C4—82no—
560C22×C4—131no—
561C22×C4—131no—
562C22×C4—131no—
563C22×C4—132no—
564C22×C4—132no—
565C22×C4—264no—
566C22×C4—264no—
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×C4D4×D1312yes—
576C22×C4D4×D1311yescharacteristic
577C22×C4C23×D1312yes—
578C22×C4C23×D1311yescharacteristic
579Q16—268no—
580M16—28no—
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—21no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—134no—
596C4⋊C4—132no—
597C4⋊C4—132no—
598C4⋊C4—264no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—261no—
608C4⋊C4—261no—
609C4⋊C4—264no—
610C4⋊C4—264no—
611C4⋊C4C23×D1312yes—
612C4⋊C4C23×D1312yes—
613C4⋊C4C23×D1312yes—
614C4⋊C4C23×D1312yes—
615C22⋊C4—24no—
616C22⋊C4—134no—
617C22⋊C4—134no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C22⋊C4—264no—
622C42—24no—
623C42—132no—
624C42—132no—
625C42—264no—
626C42—264no—
627C13C2×#334411yescharacteristic, complemented, Sylow
628C23—22no—
629C23—22no—
630C23—22no—
631C23—134no—
632C23—132no—
633C23—262no—
634C23—262no—
635C23C2×D4×D1312yes—
636C23C2×D4×D1311yescharacteristic
637Q8—262no—
638Q8—262no—
639Q8—262no—
640Q8—262no—
641Q8—522no—
642Q8—522no—
643Q8—1044no—
644D4—268no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—84no—
658C2×C4—132no—
659C2×C4—132no—
660C2×C4—132no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—264no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—262no—
670C2×C4—262no—
671C2×C4—528no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4—1044no—
677C2×C4C2×#612712yes—
678C2×C4C2×D4×D1312yes—
679C2×C4C2×D4×D1311yescharacteristic
680C2×C4#8825412yes—
681C2×C4C24×D1311yescharacteristic
682C8—22no—
683C8—262no—
684C8—262no—
685C8C2×#612714yes—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—44no—
690C22—134no—
691C22—262no—
692C22—262no—
693C22—268no—
694C22#1171921212yes—
695C22#1171948012yes—
696C22D13×#13712yes—
697C22C22×D4×D1311yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—262no—
704C4—262no—
705C4—262no—
706C4—522no—
707C4—522no—
708C4—522no—
709C4—522no—
710C4#1171921212yes—
711C4C22×#612711yescharacteristic
712C4C2×#8825411yescharacteristic
713C2—42no—
714C2—264no—
715C2#1312729214yesdirect product factor
716C2C2×#1171921211yescharacteristic
717C2C2×D13×#13711yescharacteristic
718C2C2×#1171948011yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#428C2
socleC23×C13C22×D4
prime radicalC22×C22⋊D13D4
hypercenterC2×#428D13
hypocenterC13C2×#3344
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
3. #13127292C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718545C2semidirect
6. C2×#11718657C2semidirect
7. C2×#11718523C2semidirect
8. C2×#11718632C2semidirect
9. C2×#11718538C2semidirect
10. C2×#11718515C2semidirect
11. C2×#11718798C2semidirect
12. C2×#11718548C2semidirect
13. C2×#11718514C2semidirect
15. C2×D13×#106C2semidirect
16. C2×C13×#428C2semidirect
45. C13×#428C22semidirect
51. #11718798C22semidirect
59. #11718657C22semidirect
60. #11718632C22semidirect
69. #11718548C22semidirect
70. #11718545C22semidirect
71. #11718538C22semidirect
72. #11718537C22semidirect
73. #11718523C22semidirect
74. D13×#106C22semidirect
75. #11718515C22semidirect
76. #11718514C22semidirect
283. C2×#428D13semidirect
382. #428C2×D13semidirect
533. C2×C13#3344semidirect
627. C13C2×#3344semidirect
715. C2#13127292direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192162
C2×#117192342
#131272922
C2×#117185372
C2×#117185452
C2×#117186572
C2×#117185232
C2×#117186322
C2×#117185382
C2×#117185152
C2×#117187982
C2×#117185482
C2×#117185142
C2×#117187882
C2×D13×#1062
C2×C13×#4282
C2×#334413