Finite Group Databasebeta

← C2×#13127368 #16741548

Subgroups — C2×#13127368 #16741548

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×#11719247C211yesmaximal, characteristic
2C2×#11719246C211yesmaximal, characteristic
3#13127368C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718383C211yesmaximal, characteristic, complemented
6C2×#11718384C211yesmaximal, characteristic, complemented
7C2×#11718384C211yesmaximal, characteristic, complemented
8C2×#11718384C211yesmaximal, characteristic, complemented
9C2×#11718490C211yesmaximal, characteristic, complemented
10C2×#11718511C211yesmaximal, characteristic, complemented
11C2×#11718798C211yesmaximal, characteristic, complemented
12C2×#11718777C211yesmaximal, characteristic, complemented
13C2×#11718377C211yesmaximal, characteristic, complemented
14C2×#11718782C211yesmaximal, characteristic, complemented
15C2×#11718767C211yesmaximal, characteristic, complemented
16C2×C13×#435C211yesmaximal, characteristic
17C22×C13×M16C2211yescharacteristic
18C23×C8×C13C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×#88190—21no—
21C2×#88189—21no—
22C2×#88180C2211yescharacteristic
23C2×#88180C2211yescharacteristic
24C2×#88180C2211yescharacteristic
25C22×C4⋊Dic13C2211yescharacteristic
26C2×#88178C2211yescharacteristic
27C2×#88178C2211yescharacteristic
28C2×#88178C2211yescharacteristic
29C2×#88178C2211yescharacteristic
30C22×Dic52C2211yescharacteristic
31#11719247—24no—
32#11719247C2218yes—
33#11719246—24no—
34#11719246C2218yes—
35C2×#88143—21no—
36C2×#88141—21no—
37C2×#88133—21no—
38C2×#88133—21no—
39C2×#88133—21no—
40C2×#88131—21no—
41C2×#88124C2211yescharacteristic
42C2×#88123C2211yescharacteristic
43C2×C4×Dic26C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C13×#435C2218yes—
46C2×C13×C4⋊C8C2211yescharacteristic
47C2×C13×C22⋊C8C2211yescharacteristic
48C2×C13×C22⋊C8C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50#11718798C2218yescomplemented
51#11718782C2218yescomplemented
52#11718777C2218yescomplemented
53#11718767C2218yescomplemented
54C2×#88058C2211yescharacteristic
55C2×#88058C2211yescharacteristic
56C2×#88058C2211yescharacteristic
57C2×#88058C2211yescharacteristic
58C2×#88058C2211yescharacteristic
59C2×#88057C2211yescharacteristic
60C2×#88057C2211yescharacteristic
61C2×#88057C2211yescharacteristic
62C2×#88057C2211yescharacteristic
63C2×#88056C2211yescharacteristic
64C2×#88056C2211yescharacteristic
65C2×#88056C2211yescharacteristic
66C2×#88056C2211yescharacteristic
67C2×#88056C2211yescharacteristic
68C2×#88056C2211yescharacteristic
69#11718511C2218yescomplemented
70#11718490C2218yescomplemented
71#11718384C2218yescomplemented
72#11718384C2218yescomplemented
73#11718384C2218yescomplemented
74#11718383C2218yescomplemented
75#11718377C2218yescomplemented
76#11718363C2218yescomplemented
77C22×D4×C13D411yescharacteristic
78C23×C4×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C23×Dic13—21no—
81C22×Dic26—21no—
82C22×Dic26C2311yescharacteristic
83C22×Dic26C2311yescharacteristic
84C2×C13×M16—24no—
85C2×C13×M16C2314yes—
86C22×C8×C13—24no—
87C22×C8×C13C2311yescharacteristic
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2314yes—
91C22×C8×C13C2311yescharacteristic
92C4×D4×C13D414yes—
93C4×D4×C13C2314yes—
94C2×C13×C4⋊C4D411yescharacteristic
95C2×C13×C22⋊C4D411yescharacteristic
96C2×C13×C22⋊C4D411yescharacteristic
97C2×C42×C13C2311yescharacteristic
98C2×C22⋊Dic13—21no—
99C2×C22⋊Dic13—21no—
100C2×C22⋊Dic13—21no—
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13—21no—
103C2×C22⋊Dic13—21no—
104C2×C22⋊Dic13—21no—
105#88190—28no—
106#88189—28no—
107#88180—22no—
108#88180—22no—
109#88180—22no—
110#88180C2314yes—
111#88180C2314yes—
112#88180C2314yes—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13—22no—
116C2×C4⋊Dic13C2311yescharacteristic
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×C4⋊Dic13C2311yescharacteristic
121C2×C4⋊Dic13C2311yescharacteristic
122C2×C4⋊Dic13C2314yes—
123#88178—22no—
124#88178—22no—
125#88178—22no—
126#88178—22no—
127#88178C2314yes—
128#88178C2314yes—
129#88178C2314yes—
130#88178C2314yes—
131C2×#6101—21no—
132C2×#6101—21no—
133C2×#6101—21no—
134C2×#6101—21no—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×#6101—21no—
138C2×#6101—21no—
139C2×C4×Dic13—21no—
140C2×C4×Dic13—21no—
141C2×C4×Dic13—21no—
142C2×C4×Dic13—21no—
143C2×C4×Dic13—21no—
144C2×Dic52—24no—
145C2×Dic52C2314yes—
146#88143—28no—
147#88141—28no—
148#88133—28no—
149#88133—28no—
150#88133—28no—
151#88131—28no—
152#88124—22no—
153#88124C2314yes—
154#88123—22no—
155#88123C2314yes—
156C4×Dic26—22no—
157C4×Dic26—22no—
158C4×Dic26C2314yes—
159C4×Dic26C2314yes—
160C13×C4⋊C8C2314yes—
161C13×C22⋊C8C2314yes—
162C13×C22⋊C8C2314yes—
163C13×#97C2314yes—
164#88058C2314yes—
165#88058C2314yes—
166#88058C2314yes—
167#88058C2314yes—
168#88058C2314yes—
169#88057C2314yes—
170#88057C2314yes—
171#88057C2314yes—
172#88057C2314yes—
173#88056C2314yes—
174#88056C2314yes—
175#88056C2314yes—
176#88056C2314yes—
177#88056C2314yes—
178#88056C2314yes—
179C2×#3349—131nomaximal, Sylow
180C24×C13C2×D411yescharacteristic
181C24×C13C2×D411yescharacteristic
182C2×D4×C13—42no—
183C2×D4×C13C2×D414yes—
184C22×C4×C13—22no—
185C22×C4×C13—22no—
186C22×C4×C13—22no—
187C22×C4×C13—22no—
188C22×C4×C13C2×D411yescharacteristic
189C22×C4×C13C2×D411yescharacteristic
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2×D412yes—
193C22×C4×C13C2×D412yes—
194C22×C4×C13C2412yes—
195C22×C4×C13C2412yes—
196C22×C4×C13C2411yescharacteristic
197C22×Dic13—24no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13—21no—
201C22×Dic13—21no—
202C22×Dic13—21no—
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—44no—
207C2×Dic26—22no—
208C2×Dic26—22no—
209C2×Dic26—22no—
210C2×Dic26—22no—
211C2×Dic26—21no—
212C2×Dic26—21no—
213C2×Dic26—24no—
214C2×Dic26—44no—
215C2×Dic26C2412yes—
216C2×Dic26C2412yes—
217C13×M16—28no—
218C2×C8×C13—22no—
219C2×C8×C13—22no—
220C2×C8×C13—22no—
221C2×C8×C13—28no—
222C2×C8×C13#4114yes—
223C2×C8×C13C2412yes—
224C2×C8×C13C2412yes—
225C2×C8×C13C2412yes—
226C2×C8×C13C2412yes—
227C13×C4⋊C4C2×D414yes—
228C13×C22⋊C4C2×D414yes—
229C13×C22⋊C4C2×D414yes—
230C42×C13C2×D412yes—
231C42×C13C2412yes—
232C22⋊Dic13—24no—
233C22⋊Dic13—24no—
234C22⋊Dic13—24no—
235C22⋊Dic13—24no—
236C22⋊Dic13—24no—
237C22⋊Dic13—24no—
238C22⋊Dic13—24no—
239C4⋊Dic13—21no—
240C4⋊Dic13—21no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13—21no—
245C4⋊Dic13—21no—
246C4⋊Dic13—24no—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
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—
261C4×Dic13—24no—
262C4×Dic13—24no—
263C4×Dic13—24no—
264C4×Dic13—24no—
265C4×Dic13—24no—
266Dic52—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×#477—131no—
277C2×#470—131no—
278C2×#467—131no—
279C2×#441—131no—
280C2×#435D1311yescharacteristic
281C2×#428—131no—
282C2×#427—131no—
283C23×C13—22no—
284C23×C13—22no—
285C23×C13—22no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13—22no—
289C23×C13C22×D412yes—
290C23×C13C22×D412yes—
291C23×C13C22×D411yescharacteristic
292D4×C13—44no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—24no—
298C2×C4×C13—24no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13C22×D412yes—
304C2×C4×C13C22×D412yes—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C13C2×#4112yes—
309C2×C4×C132−1+412yes—
310C2×C4×C13C2511yescharacteristic
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—48no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13—42no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13—42no—
327C2×Dic13—42no—
328Dic26—22no—
329Dic26—22no—
330Dic26—22no—
331Dic26—22no—
332Dic26—48no—
333Dic26—42no—
334Dic26—42no—
335C8×C13—22no—
336C8×C13—22no—
337C8×C13—22no—
338C8×C13C2×#4114yes—
339C22×Q16—131no—
340C22×M16C2×D1311yescharacteristic
341C23×C8C2×D1311yescharacteristic
342#556—138no—
343#556—264no—
344#552—138no—
345#552—264no—
346C2×C4⋊Q8—131no—
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—131no—
360C2×C4×Q8—261no—
361C2×C4×D4C2×D1311yescharacteristic
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#477—138no—
374#470—138no—
375#467—138no—
376#441—138no—
377#435C2×D1318yes—
378#428—138no—
379#427—138no—
380C2×#107—131no—
381C2×#107—131no—
382C2×#107—131no—
383C2×#107—131no—
384C2×#107—131no—
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×#103—131no—
395C2×#103—131no—
396C2×C22⋊C8C2×D1311yescharacteristic
397C2×C22⋊C8C2×D1311yescharacteristic
398C2×#97C2×D1311yescharacteristic
399C22×C13—22no—
400C22×C13—22no—
401C22×C13—22no—
402C22×C13—22no—
403C22×C13—22no—
404C22×C13—22no—
405C22×C13—44no—
406C22×C13—44no—
407C22×C13#54712yes—
408C22×C13#57512yes—
409C22×C13#57812yes—
410C22×C13C23×D411yescharacteristic
411C4×C13—22no—
412C4×C13—22no—
413C4×C13—22no—
414C4×C13—22no—
415C4×C13#54712yes—
416C4×C13C22×#4111yescharacteristic
417C4×C13C2×2−1+411yescharacteristic
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421Dic13—42no—
422Dic13—42no—
423Dic13—42no—
424Dic13—42no—
425Dic13—42no—
426C22×Q8—131no—
427C22×Q8—131no—
428C22×Q8—261no—
429C22×D4D5211yescharacteristic
430C23×C4—261no—
431C23×C4C22×D1311yescharacteristic
432C23×C4C22×D1311yescharacteristic
433C2×Q16—134no—
434C2×Q16—264no—
435C2×M16—24no—
436C2×M16C22×D1314yes—
437C22×C8—24no—
438C22×C8C22×D1311yescharacteristic
439C22×C8C22×D1314yes—
440C22×C8C22×D1311yescharacteristic
441C22×C8C22×D1311yescharacteristic
442C22×C8C22×D1311yescharacteristic
443C4⋊Q8—134no—
444C4⋊Q8—262no—
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—134no—
462C4×Q8—134no—
463C4×Q8—268no—
464C4×Q8—262no—
465C4×Q8—262no—
466C4×D4D5214yes—
467C4×D4C22×D1314yes—
468#117—134no—
469#117—134no—
470#117—134no—
471#117—262no—
472#117—262no—
473#117—262no—
474#117—268no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—134no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—262no—
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⋊C4—261no—
492C2×C4⋊C4—261no—
493C2×C4⋊C4D5211yescharacteristic
494C2×C22⋊C4—261no—
495C2×C22⋊C4—261no—
496C2×C22⋊C4—261no—
497C2×C22⋊C4—261no—
498C2×C22⋊C4—261no—
499C2×C22⋊C4—261no—
500C2×C22⋊C4—261no—
501C2×C22⋊C4D5211yescharacteristic
502C2×C22⋊C4D5211yescharacteristic
503C2×C42—261no—
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#107—134no—
513#107—134no—
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#103—134no—
524#103—134no—
525C22⋊C8C22×D1314yes—
526C22⋊C8C22×D1314yes—
527#97C22×D1314yes—
528C2×C13—42no—
529C2×C13—42no—
530C2×C13#334914yescomplemented
531C2×C13C2×#54711yescharacteristic
532C2×C13C2×#57511yescharacteristic
533C2×C13C2×#57811yescharacteristic
534C24C2×D5211yescharacteristic
535C24C2×D5211yescharacteristic
536C2×Q8—132no—
537C2×Q8—132no—
538C2×Q8—261no—
539C2×Q8—261no—
540C2×Q8—264no—
541C2×Q8—262no—
542C2×Q8—262no—
543C2×Q8—262no—
544C2×Q8—262no—
545C2×Q8—524no—
546C2×D4—42no—
547C2×D4C2×D5214yes—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—264no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4—261no—
558C22×C4—261no—
559C22×C4—261no—
560C22×C4—261no—
561C22×C4—524no—
562C22×C4C2×D5212yes—
563C22×C4C2×D5212yes—
564C22×C4C2×D5211yescharacteristic
565C22×C4C2×D5211yescharacteristic
566C22×C4C2×D5211yescharacteristic
567C22×C4C2×D5211yescharacteristic
568C22×C4C23×D1312yes—
569C22×C4C23×D1312yes—
570C22×C4C23×D1311yescharacteristic
571Q16—268no—
572M16—28no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—22no—
576C2×C8—28no—
577C2×C8#612914yes—
578C2×C8C23×D1312yes—
579C2×C8C23×D1312yes—
580C2×C8C23×D1312yes—
581C2×C8C23×D1312yes—
582C4⋊C4—132no—
583C4⋊C4—132no—
584C4⋊C4—132no—
585C4⋊C4—132no—
586C4⋊C4—132no—
587C4⋊C4—132no—
588C4⋊C4—261no—
589C4⋊C4—261no—
590C4⋊C4—264no—
591C4⋊C4—261no—
592C4⋊C4—261no—
593C4⋊C4—261no—
594C4⋊C4—261no—
595C4⋊C4—264no—
596C4⋊C4—264no—
597C4⋊C4—264no—
598C4⋊C4—264no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4C2×D5214yes—
605C22⋊C4—264no—
606C22⋊C4—264no—
607C22⋊C4—264no—
608C22⋊C4—264no—
609C22⋊C4—264no—
610C22⋊C4—264no—
611C22⋊C4—264no—
612C22⋊C4C2×D5214yes—
613C22⋊C4C2×D5214yes—
614C42—264no—
615C42—264no—
616C42—264no—
617C42—264no—
618C42—264no—
619C42C2×D5212yes—
620C42C23×D1312yes—
621C13C2×#334911yescharacteristic, complemented, Sylow
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23C22×D5212yes—
629C23C22×D5212yes—
630C23C22×D5211yescharacteristic
631Q8—262no—
632Q8—262no—
633Q8—262no—
634Q8—262no—
635Q8—528no—
636Q8—522no—
637Q8—522no—
638D4—44no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—262no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—262no—
654C2×C4—262no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—528no—
658C2×C4—522no—
659C2×C4—522no—
660C2×C4—522no—
661C2×C4—522no—
662C2×C4—522no—
663C2×C4—522no—
664C2×C4—522no—
665C2×C4—522no—
666C2×C4C22×D5212yes—
667C2×C4C22×D5212yes—
668C2×C4C22×D5212yes—
669C2×C4C22×D5212yes—
670C2×C4C22×D5211yescharacteristic
671C2×C4C2×#612912yes—
672C2×C4#8825712yes—
673C2×C4C24×D1311yescharacteristic
674C8—22no—
675C8—22no—
676C8—22no—
677C8C2×#612914yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22#1171926012yes—
687C22#1171945312yes—
688C22#1171945812yes—
689C22C23×D5211yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—522no—
695C4—522no—
696C4—522no—
697C4—522no—
698C4—522no—
699C4—522no—
700C4—522no—
701C4—522no—
702C4#1171926012yes—
703C4C22×#612911yescharacteristic
704C4C2×#8825711yescharacteristic
705C2—42no—
706C2—42no—
707C2#1312736814yesdirect product factor
708C2C2×#1171926011yescharacteristic
709C2C2×#1171945311yescharacteristic
710C2C2×#1171945811yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#435C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
hypercenterC2×#435D13
hypocenterC13C2×#3349
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
3. #13127368C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718383C2semidirect
6. C2×#11718384C2semidirect
7. C2×#11718384C2semidirect
8. C2×#11718384C2semidirect
9. C2×#11718490C2semidirect
10. C2×#11718511C2semidirect
11. C2×#11718798C2semidirect
12. C2×#11718777C2semidirect
13. C2×#11718377C2semidirect
14. C2×#11718782C2semidirect
15. C2×#11718767C2semidirect
50. #11718798C22semidirect
51. #11718782C22semidirect
52. #11718777C22semidirect
53. #11718767C22semidirect
69. #11718511C22semidirect
70. #11718490C22semidirect
71. #11718384C22semidirect
72. #11718384C22semidirect
73. #11718384C22semidirect
74. #11718383C22semidirect
75. #11718377C22semidirect
76. #11718363C22semidirect
530. C2×C13#3349semidirect
621. C13C2×#3349semidirect
707. C2#13127368direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192472
C2×#117192462
#131273682
C2×#117183632
C2×#117183832
C2×#117183842
C2×#117184902
C2×#117185112
C2×#117187982
C2×#117187772
C2×#117183772
C2×#117187822
C2×#117187672
C2×C13×#4352
C2×#334913