Finite Group Databasebeta

← C2×#13127444 #16741650

Subgroups — C2×#13127444 #16741650

Order 3328.

1866 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×#11719346C211yesmaximal, characteristic
2C2×#11719216C211yesmaximal, characteristic
3#13127444C2116yesmaximal, direct product factor
4C2×#11718516C211yesmaximal, characteristic, complemented
5C2×#11718528C211yesmaximal, characteristic, complemented
6C2×#11718384C211yesmaximal, characteristic, complemented
7C2×#11718466C211yesmaximal, characteristic, complemented
8C2×#11718455C211yesmaximal, characteristic, complemented
9C2×#11718515C211yesmaximal, characteristic, complemented
10C2×#11718477C211yesmaximal, characteristic, complemented
11C2×#11718713C211yesmaximal, characteristic, complemented
12C2×#11718451C211yesmaximal, characteristic, complemented
13C2×#11718390C211yesmaximal, characteristic
14C2×#11718625C211yesmaximal, characteristic, complemented
15C2×#11718522C211yesmaximal, characteristic, complemented
16C2×C13×#483C211yesmaximal, characteristic, complemented
17C2×C13×C22⋊Q8C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C2×#88200C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C22×#6107C2211yescharacteristic
22C2×C4×C22⋊D13—21no—
23C2×C4×C22⋊D13C2211yescharacteristic
24C2×#88180C2211yescharacteristic
25C2×#88178—21no—
26C2×#88178C2211yescharacteristic
27C22×#6099C2211yescharacteristic
28C22×#6094C2211yescharacteristic
29#11719346—24no—
30#11719346C2218yes—
31C2×#88152—21no—
32#11719216—24no—
33#11719216C2218yes—
34C2×#88151C2211yescharacteristic
35C2×#88150—21no—
36C2×#88146C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×#88143—21no—
39C2×#88142C2211yescharacteristic
40C2×#88142C2211yescharacteristic
41C2×#88141—21no—
42C2×#88141C2211yescharacteristic
43C2×#88139—21no—
44C2×#88133—21no—
45C13×#483C2218yescomplemented
46C2×C13×#106C2211yescharacteristic
47C2×C13×#106C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×C13×#103C2211yescharacteristic
50C2×C13×C22⋊C8C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88060C2211yescharacteristic
53C2×#88058C2211yescharacteristic
54C2×#88057C2211yescharacteristic
55C2×#88056C2211yescharacteristic
56C2×#88056C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58C2×C8×Dic13C2211yescharacteristic
59#11718713C2218yescomplemented
60C2×#88050C2211yescharacteristic
61#11718625C2218yescomplemented
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×#88047C2211yescharacteristic
67#11718528C2218yescomplemented
68#11718522C2218yescomplemented
69#11718516C2218yescomplemented
70#11718515C2218yescomplemented
71#11718477C2218yescomplemented
72#11718466C2218yescomplemented
73#11718455C2218yescomplemented
74#11718451C2218yescomplemented
75#11718390C2218yes—
76#11718384C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C23×C4×C13—21no—
79C23×C4×C13C2311yescharacteristic
80C22×C22⋊D13D411yescharacteristic
81C22×C4×D13—21no—
82C22×C4×D13C2311yescharacteristic
83C22×Dic26—21no—
84C22×Dic26—21no—
85C22×Dic26C2311yescharacteristic
86C22×C8×C13C2311yescharacteristic
87C22×C8×C13C2311yescharacteristic
88C13×C22⋊Q8—22no—
89C13×C22⋊Q8C2314yes—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—21no—
92C2×C13×C4⋊C4—22no—
93C2×C13×C4⋊C4C2311yescharacteristic
94C2×C13×C4⋊C4C2311yescharacteristic
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2314yes—
97C2×C13×C22⋊C4—21no—
98C2×C22⋊Dic13—21no—
99C2×C22⋊Dic13—21no—
100C2×C22⋊Dic13D411yescharacteristic
101#88200—22no—
102#88200C2314yes—
103Q8×Dic13—22no—
104Q8×Dic13C2314yes—
105C2×#6107—24no—
106C2×#6107C2314yes—
107C4×C22⋊D13—28no—
108C4×C22⋊D13D414yes—
109C4×C22⋊D13C2314yes—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103—21no—
113C2×#6103D411yescharacteristic
114#88180—22no—
115#88180C2314yes—
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13—21no—
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×C4⋊Dic13C2311yescharacteristic
121#88178—22no—
122#88178—28no—
123#88178C2314yes—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101—21no—
129C2×#6101—21no—
130C2×#6101D411yescharacteristic
131C2×C4×Dic13—21no—
132C2×C4×Dic13—21no—
133C2×C4×Dic13—21no—
134C2×C4×Dic13—21no—
135C2×C4×Dic13C2311yescharacteristic
136C2×#6099—24no—
137C2×#6099C2314yes—
138C22×#1055C2311yescharacteristic
139C22×#1055C2311yescharacteristic
140C2×#6094—24no—
141C2×#6094C2314yes—
142#88152—28no—
143#88151—22no—
144#88151C2314yes—
145#88150—28no—
146#88146—22no—
147#88146C2314yes—
148C4⋊C4×D13—22no—
149C4⋊C4×D13C2314yes—
150#88143—28no—
151#88142—22no—
152#88142—22no—
153#88142C2314yes—
154#88142C2314yes—
155#88141—28no—
156#88141—22no—
157#88141C2314yes—
158#88139—28no—
159#88133—28no—
160C13×#106C2314yes—
161C13×#106C2314yes—
162C13×#103C2314yes—
163C13×#103C2314yes—
164C13×C22⋊C8C2314yes—
165#88075C2314yes—
166#88060C2314yes—
167#88058C2314yes—
168#88057C2314yes—
169#88056C2314yes—
170#88056C2314yes—
171#88054C2314yes—
172C8×Dic13C2314yes—
173#88050C2314yes—
174#88048C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88047C2314yes—
178#88047C2314yes—
179C2×#3356—131nomaximal, Sylow
180C24×C13C2×D411yescharacteristic
181C23×D13C2×D411yescharacteristic
182C2×Q8×C13—21no—
183C2×Q8×C13—22no—
184C2×Q8×C13—22no—
185C2×Q8×C13C2412yes—
186C22×C4×C13—22no—
187C22×C4×C13—22no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—24no—
193C22×C4×C13—82no—
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D412yes—
196C22×C4×C13C2412yes—
197C22×C4×C13C2411yescharacteristic
198C2×C22⋊D13—24no—
199C2×C22⋊D13C2×D414yes—
200C22×Dic13—21no—
201C22×Dic13—21no—
202C22×Dic13—21no—
203C22×Dic13—21no—
204C22×Dic13C2×D411yescharacteristic
205C22×Dic13C2×D411yescharacteristic
206C22×Dic13C2×D411yescharacteristic
207C2×C4×D13—22no—
208C2×C4×D13—22no—
209C2×C4×D13—24no—
210C2×C4×D13—82no—
211C2×C4×D13C2×D412yes—
212C2×C4×D13C2412yes—
213C2×Dic26—22no—
214C2×Dic26—22no—
215C2×Dic26—21no—
216C2×Dic26—24no—
217C2×Dic26—24no—
218C2×Dic26—44no—
219C2×Dic26—82no—
220C2×Dic26C2412yes—
221C2×C8×C13—22no—
222C2×C8×C13—22no—
223C2×C8×C13C2412yes—
224C2×C8×C13C2412yes—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—24no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—24no—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C22⋊C4—24no—
234C22⋊Dic13—24no—
235C22⋊Dic13—24no—
236C22⋊Dic13C2×D414yes—
237#6107—28no—
238#6103—24no—
239#6103—24no—
240#6103—24no—
241#6103C2×D414yes—
242C4⋊Dic13—21no—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—24no—
246C4⋊Dic13—24no—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101C2×D414yes—
257C4×Dic13—24no—
258C4×Dic13—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13C2×D412yes—
262C4×Dic13C2412yes—
263#6099—28no—
264C2×#1055—22no—
265C2×#1055#4114yes—
266C2×#1055C2412yes—
267C2×#1055C2412yes—
268#6094—28no—
269C2×#556—131no—
270C2×#554—131no—
271#3356—1316no—
272C2×#498—131no—
273C2×#485—131no—
274C2×#485—131no—
275C2×#483—131no—
276C2×#483D1311yescharacteristic, complemented
277C2×#477—131no—
278C2×#475—131no—
279C2×#470—131no—
280C2×#470—131no—
281C2×C4×Q16—131no—
282C2×#436—131no—
283C2×#428—131no—
284C2×#428—131no—
285C23×C13—22no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13C22×D412yes—
289C23×C13C22×D411yescharacteristic
290C22×D13—22no—
291C22×D13—22no—
292C22×D13—22no—
293C22×D13C22×D412yes—
294Q8×C13—22no—
295Q8×C13—22no—
296Q8×C13—42no—
297C2×C4×C13—22no—
298C2×C4×C13—24no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—42no—
306C2×C4×C13—42no—
307C2×C4×C13—42no—
308C2×C4×C13—42no—
309C2×C4×C13—84no—
310C2×C4×C13C22×D412yes—
311C2×C4×C13C22×D411yescharacteristic
312C2×C4×C13C2×#4112yes—
313C2×C4×C132−1+412yes—
314C2×C4×C13C2511yescharacteristic
315C22⋊D13—28no—
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×Dic13#13714yes—
327C2×Dic13C22×D412yes—
328C2×Dic13C22×D412yes—
329C2×Dic13C22×D412yes—
330C4×D13—24no—
331C4×D13—22no—
332C4×D13—22no—
333C4×D13—84no—
334Dic26—22no—
335Dic26—22no—
336Dic26—42no—
337Dic26—48no—
338Dic26—84no—
339C8×C13—22no—
340C8×C13—22no—
341#1055—22no—
342#1055C2×#4114yes—
343C22×Q16—131no—
344C22×M16—131no—
345C22×M16—131no—
346#556—138no—
347#556—264no—
348#554—138no—
349#554—264no—
350C2×C4⋊Q8—131no—
351C2×C4⋊Q8—131no—
352C2×#126—261no—
353C2×#126—261no—
354C2×#125—261no—
355C2×#124—261no—
356C2×C22⋊Q8—131no—
357C2×C22⋊Q8—131no—
358C2×C22⋊Q8—131no—
359C2×C22⋊Q8—261no—
360C2×C22⋊Q8—261no—
361C2×C22⋊Q8C2×D1311yescharacteristic
362C2×C4×Q8—131no—
363C2×C4×Q8—131no—
364C2×C4×Q8—261no—
365C2×C4×D4—131no—
366C2×C4×D4—261no—
367C2×#117—131no—
368C2×#117—131no—
369C22×C4⋊C4—131no—
370C22×C4⋊C4C2×D1311yescharacteristic
371#498—138no—
372#485—138no—
373#485—138no—
374#483—138no—
375#483C2×D1318yescomplemented
376#477—138no—
377#475—138no—
378#470—138no—
379#470—138no—
380C4×Q16—138no—
381#436—138no—
382#428—138no—
383#428—138no—
384C2×#107—131no—
385C2×#107—131no—
386C2×#107—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×#106—131no—
390C2×#106—131no—
391C2×#106C2×D1311yescharacteristic
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⋊C8C2×D1311yescharacteristic
402C2×C4×C8—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—22no—
412C2×D13—22no—
413C2×D13—22no—
414C2×D13—44no—
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—42no—
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13C2×#13714yes—
430C22×Q8—131no—
431C22×Q8—261no—
432C22×Q8—261no—
433C22×Q8C22×D1311yescharacteristic
434C22×D4—131no—
435C23×C4—21no—
436C23×C4—131no—
437C23×C4—261no—
438C23×C4C22×D1311yescharacteristic
439C2×Q16—134no—
440C2×Q16—264no—
441C2×M16—134no—
442C2×M16—134no—
443C2×M16—264no—
444C2×M16—264no—
445C22×C8—131no—
446C22×C8—131no—
447C22×C8C22×D1311yescharacteristic
448C22×C8C22×D1311yescharacteristic
449C4⋊Q8—134no—
450C4⋊Q8—134no—
451C4⋊Q8—262no—
452C4⋊Q8—262no—
453#126—268no—
454#126—268no—
455#125—268no—
456#124—268no—
457C22⋊Q8—22no—
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⋊Q8C22×D1314yes—
467C4×Q8—134no—
468C4×Q8—134no—
469C4×Q8—262no—
470C4×Q8—262no—
471C4×Q8—268no—
472C4×D4—134no—
473C4×D4—134no—
474C4×D4—268no—
475#117—134no—
476#117—134no—
477#117—262no—
478#117—262no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—22no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—131no—
483C2×C4⋊C4—131no—
484C2×C4⋊C4—131no—
485C2×C4⋊C4—131no—
486C2×C4⋊C4—134no—
487C2×C4⋊C4—262no—
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⋊C4C22×D1311yescharacteristic
497C2×C4⋊C4C22×D1311yescharacteristic
498C2×C4⋊C4C22×D1314yes—
499C2×C4⋊C4C22×D1311yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—131no—
502C2×C22⋊C4—131no—
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—261no—
510C2×C42—261no—
511C2×C42—261no—
512C2×C42—261no—
513#107—134no—
514#107—134no—
515#107—134no—
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#103C22×D1314yes—
528#103C22×D1314yes—
529C22⋊C8—134no—
530C22⋊C8C22×D1314yes—
531C4×C8—134no—
532C2×C13—42no—
533C2×C13#335614yescomplemented
534C2×C13C2×#54711yescharacteristic
535C2×C13C22×#13711yescharacteristic
536C2×C13C2×#57711yescharacteristic
537D13—42no—
538C24—131no—
539C24D4×D1311yescharacteristic
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—22no—
543C2×Q8—132no—
544C2×Q8—264no—
545C2×Q8—264no—
546C2×Q8—261no—
547C2×Q8—262no—
548C2×Q8—262no—
549C2×Q8—524no—
550C2×Q8—1042no—
551C2×Q8C23×D1312yes—
552C2×D4—134no—
553C2×D4—264no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—24no—
561C22×C4—82no—
562C22×C4—131no—
563C22×C4—131no—
564C22×C4—131no—
565C22×C4—132no—
566C22×C4—132no—
567C22×C4—264no—
568C22×C4—262no—
569C22×C4—262no—
570C22×C4—261no—
571C22×C4—261no—
572C22×C4—261no—
573C22×C4—261no—
574C22×C4—1042no—
575C22×C4D4×D1312yes—
576C22×C4D4×D1311yescharacteristic
577C22×C4C23×D1312yes—
578C22×C4C23×D1311yescharacteristic
579Q16—268no—
580M16—268no—
581M16—268no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—134no—
585C2×C8—132no—
586C2×C8—132no—
587C2×C8—262no—
588C2×C8C23×D1312yes—
589C2×C8C23×D1312yes—
590C4⋊C4—21no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—24no—
594C4⋊C4—21no—
595C4⋊C4—134no—
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—264no—
610C4⋊C4C23×D1312yes—
611C4⋊C4C23×D1312yes—
612C4⋊C4C23×D1312yes—
613C22⋊C4—24no—
614C22⋊C4—134no—
615C22⋊C4—134no—
616C22⋊C4—264no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C42—132no—
622C42—132no—
623C42—264no—
624C42—264no—
625C42—264no—
626C42—264no—
627C13C2×#335611yescharacteristic, complemented, Sylow
628C23—22no—
629C23—22no—
630C23—22no—
631C23—132no—
632C23—262no—
633C23—262no—
634C23—262no—
635C23C2×D4×D1312yes—
636C23C2×D4×D1311yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—42no—
640Q8—262no—
641Q8—262no—
642Q8—528no—
643Q8—522no—
644Q8—1044no—
645D4—268no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—84no—
659C2×C4—134no—
660C2×C4—132no—
661C2×C4—132no—
662C2×C4—132no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—264no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—262no—
670C2×C4—262no—
671C2×C4—262no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4—1044no—
677C2×C4C2×D4×D1312yes—
678C2×C4C2×D4×D1311yescharacteristic
679C2×C4#41×D1312yes—
680C2×C4#8825712yes—
681C2×C4C24×D1311yescharacteristic
682C8—22no—
683C8—22no—
684C8—134no—
685C8—262no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—44no—
690C22—262no—
691C22—262no—
692C22—262no—
693C22—524no—
694C22#1171936012yes—
695C22#1171946712yes—
696C22D13×#13712yes—
697C22C22×D4×D1311yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—134no—
704C4—262no—
705C4—262no—
706C4—522no—
707C4—522no—
708C4—522no—
709C4—522no—
710C4#1171936012yes—
711C4C2×#41×D1311yescharacteristic
712C4C2×#8825711yescharacteristic
713C2—42no—
714C2—522no—
715C2#1312744414yesdirect product factor
716C2C2×#1171936011yescharacteristic
717C2C2×D13×#13711yescharacteristic
718C2C2×#1171946711yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#483C2
socleC23×C13C22×D4
prime radicalC22×C22⋊D13D4
hypercenterC2×#483D13
hypocenterC13C2×#3356
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#483

Complements

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

NH ≅ G/Ntype
3. #13127444C2direct (N × H)
4. C2×#11718516C2semidirect
5. C2×#11718528C2semidirect
6. C2×#11718384C2semidirect
7. C2×#11718466C2semidirect
8. C2×#11718455C2semidirect
9. C2×#11718515C2semidirect
10. C2×#11718477C2semidirect
11. C2×#11718713C2semidirect
12. C2×#11718451C2semidirect
14. C2×#11718625C2semidirect
15. C2×#11718522C2semidirect
16. C2×C13×#483C2semidirect
45. C13×#483C22semidirect
59. #11718713C22semidirect
61. #11718625C22semidirect
67. #11718528C22semidirect
68. #11718522C22semidirect
69. #11718516C22semidirect
70. #11718515C22semidirect
71. #11718477C22semidirect
72. #11718466C22semidirect
73. #11718455C22semidirect
74. #11718451C22semidirect
76. #11718384C22semidirect
276. C2×#483D13semidirect
375. #483C2×D13semidirect
533. C2×C13#3356semidirect
627. C13C2×#3356semidirect
715. C2#13127444direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117193462
C2×#117192162
#131274442
C2×#117185162
C2×#117185282
C2×#117183842
C2×#117184662
C2×#117184552
C2×#117185152
C2×#117184772
C2×#117187132
C2×#117184512
C2×#117183902
C2×#117186252
C2×#117185222
C2×C13×#4832
C2×#335613