Finite Group Databasebeta

← C2×#13127672 #16742710

Subgroups — C2×#13127672 #16742710

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719272C211yesmaximal, characteristic, complemented
2#13127672C2116yesmaximal, direct product factor
3C2×#11718743C211yesmaximal, characteristic, complemented
4C2×#11718716C211yesmaximal, characteristic
5C2×#11718717C211yesmaximal, characteristic
6C2×#11718683C211yesmaximal, characteristic, complemented
7C2×#11718682C211yesmaximal, characteristic, complemented
8C2×#11718670C211yesmaximal, characteristic
9C2×#11718715C211yesmaximal, characteristic
10C2×#11718715C211yesmaximal, characteristic
11C2×#11718751C211yesmaximal, characteristic, complemented
12C2×#11718685C211yesmaximal, characteristic, complemented
13C2×#11718691C211yesmaximal, characteristic, complemented
14C2×#11718679C211yesmaximal, characteristic
15C2×C4×#6107C211yesmaximal, characteristic, complemented
16C2×C13×#556C211yesmaximal, characteristic
17C13×#556—24no—
18C13×#556C2218yes—
19C2×C13×C4⋊Q8C2211yescharacteristic
20C2×C13×#126—21no—
21C2×C13×#126—21no—
22C2×C13×#124C2211yescharacteristic
23C2×C13×#124C2211yescharacteristic
24C2×C13×C22⋊Q8—21no—
25C2×C4×Q8×C13C2211yescharacteristic
26C2×C4×Q8×C13C2211yescharacteristic
27C2×C4×Q8×C13C2211yescharacteristic
28C2×C4×D4×C13C2211yescharacteristic
29C2×C13×#117—21no—
30C2×#88198—21no—
31C22×#6107C2211yescharacteristic
32C22×#6107C2211yescharacteristic
33C22×#6105C2211yescharacteristic
34#11719272—24no—
35#11719272C2218yescomplemented
36C2×#88143—21no—
37C2×#88143—21no—
38C2×#88141—21no—
39C2×#88124C2211yescharacteristic
40C2×#88124C2211yescharacteristic
41C2×#88123C2211yescharacteristic
42C2×C4×Dic26C2211yescharacteristic
43C2×C4×Dic26C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C2×#88075C2211yescharacteristic
46C2×#88075C2211yescharacteristic
47C2×#88075C2211yescharacteristic
48C2×#88075C2211yescharacteristic
49C2×#88075C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88072C2211yescharacteristic
52C2×#88072C2211yescharacteristic
53C2×#88072C2211yescharacteristic
54#11718751C2218yescomplemented
55#11718743C2218yescomplemented
56#11718717C2218yes—
57#11718716C2218yes—
58#11718715C2218yes—
59#11718715C2218yes—
60#11718691C2218yescomplemented
61C4×#6107C2218yescomplemented
62#11718685C2218yescomplemented
63#11718683C2218yescomplemented
64#11718682C2218yescomplemented
65#11718679C2218yes—
66#11718670C2218yes—
67C2×#88050C2211yescharacteristic
68C2×#88048C2211yescharacteristic
69C2×#88047C2211yescharacteristic
70C2×#88047C2211yescharacteristic
71C2×C4⋊#1055C2211yescharacteristic
72C2×C4⋊#1055C2211yescharacteristic
73C2×C4⋊#1055C2211yescharacteristic
74C2×#88043C2211yescharacteristic
75C2×#88043C2211yescharacteristic
76C2×C4×#1055C2211yescharacteristic
77C22×Q8×C13D411yescharacteristic
78C22×Q8×C13C2311yescharacteristic
79C22×Q8×C13C2311yescharacteristic
80C22×D4×C13C2311yescharacteristic
81C23×C4×C13—21no—
82C22×Dic26—21no—
83C22×Dic26C2311yescharacteristic
84C13×C4⋊Q8—22no—
85C13×C4⋊Q8C2314yes—
86C13×#126—28no—
87C13×#126—28no—
88C13×#124—22no—
89C13×#124—22no—
90C13×#124C2314yes—
91C13×#124C2314yes—
92C13×C22⋊Q8—28no—
93C4×Q8×C13—22no—
94C4×Q8×C13—22no—
95C4×Q8×C13D414yes—
96C4×Q8×C13C2314yes—
97C4×Q8×C13C2314yes—
98C4×Q8×C13C2314yes—
99C4×D4×C13—22no—
100C4×D4×C13C2314yes—
101C13×#117—28no—
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4—21no—
104C2×C13×C4⋊C4—21no—
105C2×C13×C4⋊C4—21no—
106C2×C13×C4⋊C4D411yescharacteristic
107C2×C13×C4⋊C4D411yescharacteristic
108C2×C13×C4⋊C4D411yescharacteristic
109C2×C13×C4⋊C4C2311yescharacteristic
110C2×C13×C22⋊C4—21no—
111C2×C13×C22⋊C4—21no—
112C2×C13×C22⋊C4—21no—
113C2×C13×C22⋊C4—21no—
114C2×C13×C22⋊C4—21no—
115C2×C42×C13—21no—
116C2×C42×C13—21no—
117C2×C42×C13C2311yescharacteristic
118C2×C42×C13C2311yescharacteristic
119C2×C42×C13C2311yescharacteristic
120#88198—28no—
121C2×#6107—24no—
122C2×#6107—24no—
123C2×#6107C2314yes—
124C2×#6107C2314yes—
125C2×#6105—24no—
126C2×#6105C2314yes—
127C2×C4⋊Dic13—21no—
128C2×C4⋊Dic13C2311yescharacteristic
129C2×C4⋊Dic13C2311yescharacteristic
130C2×C4⋊Dic13C2311yescharacteristic
131C2×#6101—21no—
132C2×#6101—21no—
133C2×#6101—21no—
134C2×#6101—21no—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×#6101—21no—
138C2×C4×Dic13—21no—
139C2×C4×Dic13—21no—
140C2×C4×Dic13—21no—
141C22×#1055C2311yescharacteristic
142C22×#1055C2311yescharacteristic
143C22×#1055C2311yescharacteristic
144C22×#1055C2311yescharacteristic
145#88143—28no—
146#88143—28no—
147#88141—28no—
148#88124—22no—
149#88124—22no—
150#88124C2314yes—
151#88124C2314yes—
152#88123—22no—
153#88123C2314yes—
154C4×Dic26—22no—
155C4×Dic26—22no—
156C4×Dic26—22no—
157C4×Dic26C2314yes—
158C4×Dic26C2314yes—
159C4×Dic26C2314yes—
160#88075C2314yes—
161#88075C2314yes—
162#88075C2314yes—
163#88075C2314yes—
164#88075C2314yes—
165#88075C2314yes—
166#88072C2314yes—
167#88072C2314yes—
168#88072C2314yes—
169#88050C2314yes—
170#88048C2314yes—
171#88047C2314yes—
172#88047C2314yes—
173C4⋊#1055C2314yes—
174C4⋊#1055C2314yes—
175C4⋊#1055C2314yes—
176#88043C2314yes—
177#88043C2314yes—
178C4×#1055C2314yes—
179C2×#3377—131nomaximal, Sylow
180C24×C13—21no—
181C2×Q8×C13—21no—
182C2×Q8×C13—21no—
183C2×Q8×C13—22no—
184C2×Q8×C13—22no—
185C2×Q8×C13—22no—
186C2×Q8×C13—22no—
187C2×Q8×C13—42no—
188C2×Q8×C13C2×D414yes—
189C2×Q8×C13C2412yes—
190C2×Q8×C13C2412yes—
191C2×D4×C13—21no—
192C2×D4×C13—22no—
193C2×D4×C13—22no—
194C2×D4×C13C2412yes—
195C22×C4×C13—21no—
196C22×C4×C13—21no—
197C22×C4×C13—21no—
198C22×C4×C13—24no—
199C22×C4×C13—44no—
200C22×C4×C13C2×D411yescharacteristic
201C22×C4×C13C2×D411yescharacteristic
202C22×C4×C13C2×D411yescharacteristic
203C22×C4×C13C2×D411yescharacteristic
204C22×C4×C13C2×D411yescharacteristic
205C22×C4×C13C2×D411yescharacteristic
206C22×C4×C13C2411yescharacteristic
207C22×Dic13—21no—
208C22×Dic13—21no—
209C22×Dic13—21no—
210C22×Dic13—21no—
211C2×Dic26—21no—
212C2×Dic26—22no—
213C2×Dic26—24no—
214C2×Dic26—44no—
215C2×Dic26#4114yes—
216C2×Dic26C2412yes—
217C13×C4⋊C4—24no—
218C13×C4⋊C4—24no—
219C13×C4⋊C4—24no—
220C13×C4⋊C4—24no—
221C13×C4⋊C4—21no—
222C13×C4⋊C4C2×D414yes—
223C13×C4⋊C4C2×D414yes—
224C13×C4⋊C4C2×D414yes—
225C13×C4⋊C4C2412yes—
226C13×C22⋊C4—24no—
227C13×C22⋊C4—24no—
228C13×C22⋊C4—24no—
229C13×C22⋊C4—24no—
230C13×C22⋊C4—24no—
231C42×C13—24no—
232C42×C13—24no—
233C42×C13C2×D412yes—
234C42×C13C2×D412yes—
235C42×C13C2×D412yes—
236C42×C13C2412yes—
237C42×C13C2412yes—
238C42×C13C2412yes—
239#6107—28no—
240#6107—28no—
241#6105—28no—
242C4⋊Dic13—21no—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—24no—
246C4⋊Dic13C2412yes—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256C4×Dic13—24no—
257C4×Dic13—24no—
258C4×Dic13—24no—
259C2×#1055—22no—
260C2×#1055—22no—
261C2×#1055—22no—
262C2×#1055—22no—
263C2×#1055C2412yes—
264C2×#1055C2412yes—
265C2×#1055C2412yes—
266C2×#1055C2412yes—
267C2×#557—131no—
268C2×#556D1311yescharacteristic
269#3377—1316no—
270C2×#491—131no—
271C2×#489—131no—
272C2×#488—131no—
273C2×#479—131no—
274C2×#477—131no—
275C2×#478—131no—
276C2×#464—131no—
277C2×#464—131no—
278C2×#462—131no—
279C2×#446—131no—
280C2×#441—131no—
281C2×#440—131no—
282C2×C4×Q16—131no—
283C23×C13—22no—
284C23×C13—42no—
285C23×C13—42no—
286C23×C13—42no—
287C23×C13C22×D411yescharacteristic
288Q8×C13—22no—
289Q8×C13—22no—
290Q8×C13—22no—
291Q8×C13—22no—
292Q8×C13—44no—
293Q8×C13—42no—
294Q8×C13—42no—
295D4×C13—22no—
296D4×C13—22no—
297D4×C13—42no—
298C2×C4×C13—22no—
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—22no—
306C2×C4×C13—22no—
307C2×C4×C13—48no—
308C2×C4×C13—42no—
309C2×C4×C13—42no—
310C2×C4×C13—42no—
311C2×C4×C13C22×D412yes—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D412yes—
314C2×C4×C13C22×D412yes—
315C2×C4×C13C22×D412yes—
316C2×C4×C13C22×D412yes—
317C2×C4×C13C22×D411yescharacteristic
318C2×C4×C13C2×#4112yes—
319C2×C4×C132−1+412yes—
320C2×C4×C13C2511yescharacteristic
321C2×Dic13—24no—
322C2×Dic13—22no—
323C2×Dic13—22no—
324C2×Dic13—22no—
325C2×Dic13—22no—
326C2×Dic13—42no—
327C2×Dic13—42no—
328C2×Dic13—42no—
329Dic26—24no—
330Dic26—22no—
331Dic26—48no—
332Dic26C2×#4114yes—
333#1055—22no—
334#1055—22no—
335#1055—22no—
336#1055—22no—
337C22×Q16—131no—
338C22×Q16—131no—
339C22×SD16—131no—
340#557—138no—
341#557—264no—
342#556—24no—
343#556C2×D1318yes—
344C2×C4⋊Q8—131no—
345C2×C4⋊Q8—261no—
346C2×C4⋊Q8C2×D1311yescharacteristic
347C2×#126—21no—
348C2×#126—21no—
349C2×#125—131no—
350C2×#125—131no—
351C2×#125—261no—
352C2×#125—261no—
353C2×#124C2×D1311yescharacteristic
354C2×#124C2×D1311yescharacteristic
355C2×C22⋊Q8—21no—
356C2×C4×Q8—131no—
357C2×C4×Q8—131no—
358C2×C4×Q8—131no—
359C2×C4×Q8—261no—
360C2×C4×Q8C2×D1311yescharacteristic
361C2×C4×Q8C2×D1311yescharacteristic
362C2×C4×Q8C2×D1311yescharacteristic
363C2×C4×D4C2×D1311yescharacteristic
364C2×#117—21no—
365#491—138no—
366#489—138no—
367#488—138no—
368#479—138no—
369#478—138no—
370#477—138no—
371#464—138no—
372#464—138no—
373#462—138no—
374#446—138no—
375#441—138no—
376#440—138no—
377C4×Q16—138no—
378C2×#107—131no—
379C2×#107—131no—
380C2×#106—131no—
381C2×C4⋊C8—131no—
382C2×C4⋊C8—131no—
383C2×C4⋊C8—131no—
384C2×#103—131no—
385C2×#103—131no—
386C2×#103—131no—
387C2×#103—131no—
388C2×#103—131no—
389C2×#103—131no—
390C2×#103—131no—
391C2×#102—131no—
392C2×#102—131no—
393C2×#102—131no—
394C2×#97—131no—
395C2×#97—131no—
396C2×C4×C8—131no—
397C22×C13—42no—
398C22×C13—42no—
399C22×C13—42no—
400C22×C13—84no—
401C22×C13#54812yes—
402C22×C13#57512yes—
403C22×C13#57812yes—
404C22×C13C23×D411yescharacteristic
405C4×C13—22no—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13#54812yes—
415C4×C13C22×#4111yescharacteristic
416C4×C13C2×2−1+411yescharacteristic
417Dic13—24no—
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8—131no—
422C22×Q8—261no—
423C22×Q8C22⋊D1311yescharacteristic
424C22×Q8C22×D1311yescharacteristic
425C22×Q8C22×D1311yescharacteristic
426C22×D4C22×D1311yescharacteristic
427C23×C4—21no—
428C2×Q16—134no—
429C2×Q16—134no—
430C2×Q16—264no—
431C2×Q16—264no—
432C2×SD16—134no—
433C2×SD16—264no—
434C22×C8—131no—
435C22×C8—131no—
436C22×C8—131no—
437C22×C8—131no—
438C4⋊Q8—22no—
439C4⋊Q8—134no—
440C4⋊Q8—268no—
441C4⋊Q8—262no—
442C4⋊Q8C22×D1314yes—
443#126—28no—
444#126—28no—
445#125—134no—
446#125—134no—
447#125—268no—
448#125—268no—
449#125—262no—
450#125—262no—
451#124—22no—
452#124—22no—
453#124C22×D1314yes—
454#124C22×D1314yes—
455C22⋊Q8—28no—
456C4×Q8—22no—
457C4×Q8—22no—
458C4×Q8—134no—
459C4×Q8—134no—
460C4×Q8—134no—
461C4×Q8—268no—
462C4×Q8—262no—
463C4×Q8—262no—
464C4×Q8—262no—
465C4×Q8C22⋊D1314yes—
466C4×Q8C22×D1314yes—
467C4×Q8C22×D1314yes—
468C4×Q8C22×D1314yes—
469C4×D4—22no—
470C4×D4C22×D1314yes—
471#117—28no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—261no—
480C2×C4⋊C4—261no—
481C2×C4⋊C4—261no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4C22⋊D1311yescharacteristic
488C2×C4⋊C4C22⋊D1311yescharacteristic
489C2×C4⋊C4C22⋊D1311yescharacteristic
490C2×C4⋊C4C22×D1311yescharacteristic
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—21no—
496C2×C42—21no—
497C2×C42—21no—
498C2×C42—261no—
499C2×C42—261no—
500C2×C42—261no—
501C2×C42C22×D1311yescharacteristic
502C2×C42C22×D1311yescharacteristic
503C2×C42C22×D1311yescharacteristic
504#107—134no—
505#107—134no—
506#106—134no—
507C4⋊C8—134no—
508C4⋊C8—134no—
509C4⋊C8—134no—
510#103—134no—
511#103—134no—
512#103—134no—
513#103—134no—
514#103—134no—
515#103—134no—
516#103—134no—
517#102—134no—
518#102—134no—
519#102—134no—
520#97—134no—
521#97—134no—
522C4×C8—134no—
523C2×C13—82no—
524C2×C13#337714yescomplemented
525C2×C13C2×#54811yescharacteristic
526C2×C13C2×#57511yescharacteristic
527C2×C13C2×#57811yescharacteristic
528C24—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—42no—
536C2×Q8—134no—
537C2×Q8—132no—
538C2×Q8—262no—
539C2×Q8—261no—
540C2×Q8—264no—
541C2×Q8—524no—
542C2×Q8C2×C22⋊D1314yes—
543C2×Q8C23×D1312yes—
544C2×Q8C23×D1312yes—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—21no—
548C2×D4C23×D1312yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—24no—
553C22×C4—44no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4—261no—
558C22×C4C2×C22⋊D1311yescharacteristic
559C22×C4C2×C22⋊D1311yescharacteristic
560C22×C4C2×C22⋊D1311yescharacteristic
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C2×C22⋊D1311yescharacteristic
563C22×C4C2×C22⋊D1311yescharacteristic
564C22×C4C23×D1311yescharacteristic
565Q16—268no—
566Q16—268no—
567SD16—268no—
568C2×C8—132no—
569C2×C8—132no—
570C2×C8—132no—
571C2×C8—132no—
572C2×C8—262no—
573C2×C8—262no—
574C2×C8—262no—
575C2×C8—262no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—132no—
582C4⋊C4—132no—
583C4⋊C4—132no—
584C4⋊C4—261no—
585C4⋊C4—261no—
586C4⋊C4—261no—
587C4⋊C4—264no—
588C4⋊C4—264no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4C2×C22⋊D1314yes—
596C4⋊C4C2×C22⋊D1314yes—
597C4⋊C4C2×C22⋊D1314yes—
598C4⋊C4C23×D1312yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C42—24no—
605C42—24no—
606C42—264no—
607C42—264no—
608C42—264no—
609C42C2×C22⋊D1312yes—
610C42C2×C22⋊D1312yes—
611C42C2×C22⋊D1312yes—
612C42C23×D1312yes—
613C42C23×D1312yes—
614C42C23×D1312yes—
615C13C2×#337711yescharacteristic, complemented, Sylow
616C23—22no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C22×C22⋊D1311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—44no—
626Q8—42no—
627Q8—42no—
628Q8—134no—
629Q8—264no—
630Q8—262no—
631Q8—528no—
632D4—22no—
633D4—22no—
634D4—42no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—264no—
649C2×C4—262no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4#41×D1312yes—
657C2×C4#8825712yes—
658C2×C4C22×C22⋊D1312yes—
659C2×C4C22×C22⋊D1312yes—
660C2×C4C22×C22⋊D1312yes—
661C2×C4C22×C22⋊D1312yes—
662C2×C4C22×C22⋊D1312yes—
663C2×C4C22×C22⋊D1312yes—
664C2×C4C22×C22⋊D1311yescharacteristic
665C2×C4C24×D1311yescharacteristic
666C8—262no—
667C8—262no—
668C8—262no—
669C8—262no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#1171952712yes—
675C22#1171953612yes—
676C22#1171954312yes—
677C22C23×C22⋊D1311yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—264no—
688C4—522no—
689C4—522no—
690C4—522no—
691C4#1171953612yes—
692C4C2×#41×D1311yescharacteristic
693C4C2×#8825711yescharacteristic
694C2—82no—
695C2#1312767214yesdirect product factor
696C2C2×#1171953611yescharacteristic
697C2C2×#1171952711yescharacteristic
698C2C2×#1171954311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#556C2
socleC23×C13C22×D4
prime radicalC22×D4×C13C23
hypercenterC2×#556D13
hypocenterC13C2×#3377
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
1. C2×#11719272C2semidirect
2. #13127672C2direct (N × H)
3. C2×#11718743C2semidirect
6. C2×#11718683C2semidirect
7. C2×#11718682C2semidirect
11. C2×#11718751C2semidirect
12. C2×#11718685C2semidirect
13. C2×#11718691C2semidirect
15. C2×C4×#6107C2semidirect
35. #11719272C22semidirect
54. #11718751C22semidirect
55. #11718743C22semidirect
60. #11718691C22semidirect
61. C4×#6107C22semidirect
62. #11718685C22semidirect
63. #11718683C22semidirect
64. #11718682C22semidirect
524. C2×C13#3377semidirect
615. C13C2×#3377semidirect
695. C2#13127672direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192722
#131276722
C2×#117187432
C2×#117187162
C2×#117187172
C2×#117186832
C2×#117186822
C2×#117186702
C2×#117187152
C2×#117187512
C2×#117186852
C2×#117186912
C2×#117186792
C2×C4×#61072
C2×C13×#5562
C2×#337713