Finite Group Databasebeta

← C2×#13124673 #16730485

Subgroups — C2×#13124673 #16730485

Order 3328.

2018 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719434C211yesmaximal, characteristic
2C2×#11719277C211yesmaximal, characteristic
3#13124673C2116yesmaximal, direct product factor
4C2×#11718457C211yesmaximal, characteristic, complemented
5C2×#11718490C211yesmaximal, characteristic, complemented
6C2×#11718683C211yesmaximal, characteristic, complemented
7C2×#11718538C211yesmaximal, characteristic, complemented
8C2×#11718536C211yesmaximal, characteristic, complemented
9C2×#11718452C211yesmaximal, characteristic, complemented
10C2×#11718755C211yesmaximal, characteristic, complemented
11C2×#11718542C211yesmaximal, characteristic
12C2×#11718541C211yesmaximal, characteristic
13C2×#11718500C211yesmaximal, characteristic
14C2×#11718463C211yesmaximal, characteristic
15C2×D13×#103C211yesmaximal, characteristic
16C2×C13×#477C211yesmaximal, characteristic, complemented
17C22×Q8×D13C2211yescharacteristic
18C2×C13×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20C2×#88200—21no—
21C2×Q8×Dic13C2211yescharacteristic
22C2×#88198—21no—
23C22×#6094C2211yescharacteristic
24C22×C8×D13C2211yescharacteristic
25#11719434—24no—
26#11719434C2218yes—
27#11719277—24no—
28#11719277C2218yes—
29C2×#88150—21no—
30C2×#88146—21no—
31C2×#88146C2211yescharacteristic
32C2×#88146C2211yescharacteristic
33C2×C4⋊C4×D13C2211yescharacteristic
34C2×#88144C2211yescharacteristic
35C2×#88143—21no—
36C2×#88142C2211yescharacteristic
37C2×#88141—21no—
38C2×#88141C2211yescharacteristic
39C2×#88126—21no—
40C2×#88126C2211yescharacteristic
41C2×#88124C2211yescharacteristic
42C2×C4×Dic26—21no—
43C2×C4×Dic26C2211yescharacteristic
44C13×#477C2218yescomplemented
45C2×C13×#107C2211yescharacteristic
46C2×C13×#107C2211yescharacteristic
47C2×C13×C4⋊C8C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×C13×#103C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88058C2211yescharacteristic
53C2×#88057C2211yescharacteristic
54C2×#88056C2211yescharacteristic
55C2×#88056C2211yescharacteristic
56C2×#88054C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58#11718755C2218yescomplemented
59#11718683C2218yescomplemented
60C2×#88050C2211yescharacteristic
61C2×#88050C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67#11718542C2218yes—
68#11718541C2218yes—
69#11718538C2218yescomplemented
70#11718536C2218yescomplemented
71#11718500C2218yes—
72#11718490C2218yescomplemented
73#11718463C2218yes—
74D13×#103C2218yes—
75#11718457C2218yescomplemented
76#11718452C2218yescomplemented
77C22×Q8×C13—21no—
78C22×Q8×C13C2311yescharacteristic
79C2×Q8×D13—22no—
80C2×Q8×D13—24no—
81C2×Q8×D13Q818yescomplemented
82C2×Q8×D13C2314yes—
83C22×C4×D13—21no—
84C22×C4×D13—21no—
85C22×C4×D13C2311yescharacteristic
86C22×Dic26—21no—
87C22×Dic26—21no—
88C22×Dic26C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C13×C4⋊Q8—22no—
92C13×C4⋊Q8C2314yes—
93C4×Q8×C13—22no—
94C4×Q8×C13C2314yes—
95C2×C13×C4⋊C4—21no—
96C2×C13×C4⋊C4—21no—
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C42×C13—21no—
101C2×C42×C13C2311yescharacteristic
102#88200—28no—
103Q8×Dic13—22no—
104Q8×Dic13C2314yes—
105#88198—28no—
106C2×#6103—21no—
107C2×#6103—21no—
108C2×#6103D411yescharacteristic
109C2×#6103D411yescharacteristic
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13C2311yescharacteristic
113C2×C4⋊Dic13C2311yescharacteristic
114C2×C4⋊Dic13C2311yescharacteristic
115C2×#6101—21no—
116C2×#6101—21no—
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×#6101D411yescharacteristic
123C2×#6101D411yescharacteristic
124C2×C4×Dic13—21no—
125C2×C4×Dic13—21no—
126C2×C4×Dic13—21no—
127C2×C4×Dic13—21no—
128C2×C4×Dic13—21no—
129C2×C4×Dic13C2311yescharacteristic
130C22×#1055C2311yescharacteristic
131C22×#1055C2311yescharacteristic
132C2×#6094—24no—
133C2×#6094C2314yes—
134C2×C8×D13—24no—
135C2×C8×D13C2314yes—
136#88150—28no—
137#88146—22no—
138#88146—22no—
139#88146—28no—
140#88146C2314yes—
141#88146C2314yes—
142C4⋊C4×D13—22no—
143C4⋊C4×D13C2314yes—
144#88144—22no—
145#88144C2314yes—
146#88143—28no—
147#88142—22no—
148#88142C2314yes—
149#88141—28no—
150#88141—22no—
151#88141C2314yes—
152#88126—28no—
153#88126D414yes—
154#88126C2314yes—
155#88124—22no—
156#88124C2314yes—
157C4×Dic26—22no—
158C4×Dic26—28no—
159C4×Dic26C2314yes—
160C13×#107C2314yes—
161C13×#107C2314yes—
162C13×C4⋊C8C2314yes—
163C13×#103C2314yes—
164C13×#103C2314yes—
165#88075C2314yes—
166#88075C2314yes—
167#88058C2314yes—
168#88057C2314yes—
169#88056C2314yes—
170#88056C2314yes—
171#88054C2314yes—
172#88054C2314yes—
173#88050C2314yes—
174#88050C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88048C2314yes—
178#88047C2314yes—
179C4⋊#1055C2314yes—
180C2×#3082—131nomaximal, Sylow
181C23×D13C2×D411yescharacteristic
182C2×Q8×C13—21no—
183C2×Q8×C13—24no—
184C2×Q8×C13—22no—
185C2×Q8×C13—82no—
186C2×Q8×C13C2×Q814yes—
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
201C22×Dic13C2×D411yescharacteristic
202Q8×D13—216no—
203Q8×D13—28no—
204Q8×D13C2×Q8116yescomplemented
205C2×C4×D13—28no—
206C2×C4×D13—24no—
207C2×C4×D13—24no—
208C2×C4×D13—82no—
209C2×C4×D13C2×D412yes—
210C2×C4×D13C2×Q814yes—
211C2×C4×D13#4114yes—
212C2×C4×D13C2412yes—
213C2×Dic26—21no—
214C2×Dic26—22no—
215C2×Dic26—28no—
216C2×Dic26—24no—
217C2×Dic26—24no—
218C2×Dic26—82no—
219C2×Dic26C2×Q814yes—
220C2×Dic26C2412yes—
221C2×C8×C13—22no—
222C2×C8×C13—22no—
223C2×C8×C13C2412yes—
224C2×C8×C13C2412yes—
225C13×C4⋊C4—24no—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—24no—
229C13×C4⋊C4—21no—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C42×C13—24no—
234C42×C13C2×D412yes—
235C42×C13C2412yes—
236#6103—24no—
237#6103—24no—
238#6103C2×D414yes—
239#6103C2×D414yes—
240C4⋊Dic13—21no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13—24no—
245C4⋊Dic13C2412yes—
246C4⋊Dic13C2412yes—
247C4⋊Dic13C2412yes—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101C2×D414yes—
256#6101C2×D414yes—
257C4×Dic13—24no—
258C4×Dic13—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C4×Dic13C2×D412yes—
263C4×Dic13C2412yes—
264C2×#1055—22no—
265C2×#1055—22no—
266C2×#1055C2412yes—
267C2×#1055C2412yes—
268#6094—28no—
269C8×D13—28no—
270C2×#544—131no—
271C2×#519—131no—
272#3082—1316no—
273C2×#479—131no—
274C2×#479—131no—
275C2×#479—131no—
276C2×#479—131no—
277C2×#477—131no—
278C2×#477D1311yescharacteristic, complemented
279C2×#475—131no—
280C2×#475—131no—
281C2×#428—131no—
282C2×#427—131no—
283C2×#424—131no—
284C2×#419—131no—
285C22×#103—131no—
286C23×C13C22×D411yescharacteristic
287C22×D13—22no—
288C22×D13—22no—
289C22×D13C22⋊Q814yes—
290C22×D13C22×D412yes—
291Q8×C13—24no—
292Q8×C13—22no—
293Q8×C13—84no—
294Q8×C13C22×Q814yes—
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×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C13C22×Q812yes—
309C2×C4×C13C2×#4112yes—
310C2×C4×C13C2511yescharacteristic
311C2×Dic13—24no—
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×Dic13C22⋊Q814yes—
322C2×Dic13C22×D412yes—
323C2×Dic13C22×D412yes—
324C2×Dic13C22×D412yes—
325C4×D13—216no—
326C4×D13—84no—
327C4×D13C22⋊Q818yes—
328C4×D13C22×Q814yes—
329C4×D13C2×#4114yes—
330Dic26—24no—
331Dic26—22no—
332Dic26—216no—
333Dic26—84no—
334Dic26C22×Q814yes—
335C8×C13—22no—
336C8×C13—22no—
337#1055—22no—
338#1055—22no—
339C23×Q8—131no—
340C22×M16—131no—
341C23×C8—131no—
342#544—138no—
343#544—264no—
344C2×C4⋊Q8—131no—
345C2×C4⋊Q8—261no—
346C2×C4⋊Q8C2×D1311yescharacteristic
347C2×#125—131no—
348C2×#125—131no—
349C2×#125—261no—
350C2×C22⋊Q8—261no—
351C2×C22⋊Q8—261no—
352#519—138no—
353#519—264no—
354C2×C4×Q8—131no—
355C2×C4×Q8—131no—
356C2×C4×Q8—131no—
357C2×C4×Q8—261no—
358C2×C4×Q8—261no—
359C2×C4×Q8C2×D1311yescharacteristic
360C2×#117—131no—
361C2×#117—131no—
362C2×#117—131no—
363C2×#117—261no—
364C2×#117—261no—
365C22×C4⋊C4—131no—
366#479—138no—
367#479—138no—
368#479—138no—
369#479—138no—
370#477—138no—
371#477C2×D1318yescomplemented
372#475—138no—
373#475—138no—
374#428—138no—
375#427—138no—
376C2×#107—131no—
377C2×#107—131no—
378C2×#107C2×D1311yescharacteristic
379C2×#107C2×D1311yescharacteristic
380C2×#106—131no—
381C2×#106—131no—
382C2×#106—131no—
383C2×#106—131no—
384#424—138no—
385C2×C4⋊C8—131no—
386C2×C4⋊C8—131no—
387C2×C4⋊C8—131no—
388C2×C4⋊C8C2×D1311yescharacteristic
389#419—138no—
390C2×#103—131no—
391C2×#103—131no—
392C2×#103—131no—
393C2×#103—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—138no—
397C2×#103C2×D1311yescharacteristic
398C2×#103C2×D1311yescharacteristic
399C22×C13C2×C22⋊Q812yes—
400C22×C13#57712yes—
401C22×C13#57812yes—
402C22×C13C23×D411yescharacteristic
403C2×D13—28no—
404C2×D13—22no—
405C2×D13—22no—
406C2×D13C2×C22⋊Q814yes—
407C4×C13—24no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—42no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13C2×C22⋊Q812yes—
414C4×C13C23×Q811yescharacteristic
415C4×C13C22×#4111yescharacteristic
416Dic13—24no—
417Dic13—22no—
418Dic13—22no—
419Dic13—42no—
420Dic13—42no—
421Dic13—42no—
422Dic13C2×C22⋊Q814yes—
423C22×Q8—21no—
424C22×Q8—138no—
425C22×Q8—134no—
426C22×Q8—131no—
427C22×Q8—261no—
428C22×Q8—261no—
429C22×Q8—262no—
430C22×Q8—264no—
431C22×Q8C22×D1311yescharacteristic
432C23×C4—131no—
433C23×C4—261no—
434C23×C4—261no—
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⋊Q8—134no—
445C4⋊Q8—262no—
446C4⋊Q8—268no—
447C4⋊Q8C22×D1314yes—
448#125—134no—
449#125—134no—
450#125—262no—
451#125—268no—
452#125—262no—
453C22⋊Q8—268no—
454C22⋊Q8—268no—
455C4×Q8—22no—
456C4×Q8—134no—
457C4×Q8—134no—
458C4×Q8—134no—
459C4×Q8—268no—
460C4×Q8—262no—
461C4×Q8—262no—
462C4×Q8—268no—
463C4×Q8—262no—
464C4×Q8C22×D1314yes—
465#117—134no—
466#117—134no—
467#117—134no—
468#117—134no—
469#117—268no—
470#117—268no—
471#117—262no—
472#117—262no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—134no—
481C2×C4⋊C4—262no—
482C2×C4⋊C4—261no—
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×C42—21no—
499C2×C42—131no—
500C2×C42—261no—
501C2×C42—261no—
502C2×C42—261no—
503C2×C42—261no—
504C2×C42—261no—
505C2×C42C22×D1311yescharacteristic
506#107—134no—
507#107—134no—
508#107C22×D1314yes—
509#107C22×D1314yes—
510#106—134no—
511#106—134no—
512#106—134no—
513#106—134no—
514C4⋊C8—134no—
515C4⋊C8—134no—
516C4⋊C8—134no—
517C4⋊C8C22×D1314yes—
518#103—134no—
519#103—134no—
520#103—134no—
521#103—134no—
522#103—134no—
523#103—134no—
524#103C22×D1314yes—
525#103C22×D1314yes—
526C2×C13#308214yescomplemented
527C2×C13C22×C22⋊Q811yescharacteristic
528C2×C13C2×#57711yescharacteristic
529C2×C13C2×#57811yescharacteristic
530D13—24no—
531C24—131no—
532C2×Q8—21no—
533C2×Q8—24no—
534C2×Q8—22no—
535C2×Q8—82no—
536C2×Q8—1316no—
537C2×Q8—134no—
538C2×Q8—132no—
539C2×Q8—264no—
540C2×Q8—268no—
541C2×Q8—264no—
542C2×Q8—2616no—
543C2×Q8—268no—
544C2×Q8—261no—
545C2×Q8—262no—
546C2×Q8—1042no—
547C2×Q8Q8×D1314yes—
548C2×Q8C23×D1312yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—131no—
554C22×C4—132no—
555C22×C4—134no—
556C22×C4—134no—
557C22×C4—132no—
558C22×C4—131no—
559C22×C4—131no—
560C22×C4—264no—
561C22×C4—268no—
562C22×C4—264no—
563C22×C4—261no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—1042no—
568C22×C4D4×D1311yescharacteristic
569C22×C4D4×D1311yescharacteristic
570C22×C4C23×D1311yescharacteristic
571M16—268no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—132no—
575C2×C8—132no—
576C2×C8—268no—
577C2×C8—262no—
578C2×C8—262no—
579C2×C8C23×D1312yes—
580C2×C8C23×D1312yes—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—134no—
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—264no—
597C4⋊C4—261no—
598C4⋊C4—261no—
599C4⋊C4—261no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4C23×D1312yes—
604C4⋊C4C23×D1312yes—
605C4⋊C4C23×D1312yes—
606C22⋊C4—134no—
607C22⋊C4—134no—
608C22⋊C4—264no—
609C22⋊C4—264no—
610C42—24no—
611C42—132no—
612C42—132no—
613C42—264no—
614C42—264no—
615C42—264no—
616C42—264no—
617C42—264no—
618C42D4×D1312yes—
619C42C23×D1312yes—
620C13C2×#308211yescharacteristic, complemented, Sylow
621C23—134no—
622C23—132no—
623C23—262no—
624C23—262no—
625C23C2×D4×D1311yescharacteristic
626Q8—24no—
627Q8—22no—
628Q8—84no—
629Q8—134no—
630Q8—2616no—
631Q8—264no—
632Q8—262no—
633Q8—1044no—
634Q8C2×Q8×D1314yes—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—134no—
646C2×C4—132no—
647C2×C4—138no—
648C2×C4—134no—
649C2×C4—134no—
650C2×C4—132no—
651C2×C4—132no—
652C2×C4—2616no—
653C2×C4—262no—
654C2×C4—262no—
655C2×C4—264no—
656C2×C4—262no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—522no—
661C2×C4—522no—
662C2×C4—522no—
663C2×C4—1044no—
664C2×C4C2×D4×D1312yes—
665C2×C4C2×D4×D1312yes—
666C2×C4C2×D4×D1311yescharacteristic
667C2×C4C2×Q8×D1312yes—
668C2×C4#41×D1312yes—
669C2×C4C24×D1311yescharacteristic
670C8—22no—
671C8—22no—
672C8—262no—
673C8—262no—
674C22—134no—
675C22—268no—
676C22—262no—
677C22—262no—
678C22D13×C22⋊Q812yes—
679C22#1171947112yes—
680C22#1171948012yes—
681C22C22×D4×D1311yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—134no—
689C4—262no—
690C4—264no—
691C4—262no—
692C4—522no—
693C4—522no—
694C4—522no—
695C4D13×C22⋊Q812yes—
696C4C22×Q8×D1311yescharacteristic
697C4C2×#41×D1311yescharacteristic
698C2—264no—
699C2#1312467314yesdirect product factor
700C2C2×D13×C22⋊Q811yescharacteristic
701C2C2×#1171948011yescharacteristic
702C2C2×#1171947111yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#477C2
socleC23×C13C22×D4
prime radicalC23×D13C2×D4
hypercenterC2×#477D13
hypocenterC13C2×#3082
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. #13124673C2direct (N × H)
4. C2×#11718457C2semidirect
5. C2×#11718490C2semidirect
6. C2×#11718683C2semidirect
7. C2×#11718538C2semidirect
8. C2×#11718536C2semidirect
9. C2×#11718452C2semidirect
10. C2×#11718755C2semidirect
16. C2×C13×#477C2semidirect
44. C13×#477C22semidirect
58. #11718755C22semidirect
59. #11718683C22semidirect
69. #11718538C22semidirect
70. #11718536C22semidirect
72. #11718490C22semidirect
75. #11718457C22semidirect
76. #11718452C22semidirect
81. C2×Q8×D13Q8semidirect
204. Q8×D13C2×Q8semidirect
278. C2×#477D13semidirect
371. #477C2×D13semidirect
526. C2×C13#3082semidirect
620. C13C2×#3082semidirect
699. C2#13124673direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117194342
C2×#117192772
#131246732
C2×#117184572
C2×#117184902
C2×#117186832
C2×#117185382
C2×#117185362
C2×#117184522
C2×#117187552
C2×#117185422
C2×#117185412
C2×#117185002
C2×#117184632
C2×D13×#1032
C2×C13×#4772
C2×#308213