Finite Group Databasebeta

← C2×#13127781 #16743446

Subgroups — C2×#13127781 #16743446

Order 3328.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719272C211yesmaximal, characteristic, complemented
2#13127781C2116yesmaximal, direct product factor
3C2×#11718726C211yesmaximal, characteristic, complemented
4C2×#11718741C211yesmaximal, characteristic, complemented
5C2×#11718725C211yesmaximal, characteristic, complemented
6C2×#11718724C211yesmaximal, characteristic, complemented
7C2×#11718724C211yesmaximal, characteristic, complemented
8C2×#11718755C211yesmaximal, characteristic, complemented
9C2×#11718670C211yesmaximal, characteristic
10C2×#11718670C211yesmaximal, characteristic
11C2×#11718669C211yesmaximal, characteristic
12C2×#11718685C211yesmaximal, characteristic, complemented
13C2×#11718679C211yesmaximal, characteristic
14C2×#11718679C211yesmaximal, characteristic
15C2×C4×#6105C211yesmaximal, characteristic
16C2×C13×#554C211yesmaximal, characteristic
17C13×#554—24no—
18C13×#554C2218yes—
19C2×C13×C4⋊Q8C2211yescharacteristic
20C2×C13×#125C2211yescharacteristic
21C2×C13×#125C2211yescharacteristic
22C2×C13×C22⋊Q8—21no—
23C2×C13×C22⋊Q8—21no—
24C2×C13×C22⋊Q8—21no—
25C2×C4×Q8×C13C2211yescharacteristic
26C2×C4×D4×C13C2211yescharacteristic
27C2×C4×D4×C13C2211yescharacteristic
28C2×C4×D4×C13C2211yescharacteristic
29C22×C13×C4⋊C4—21no—
30C2×#88198—21no—
31C22×#6105C2211yescharacteristic
32#11719272—24no—
33#11719272C2218yescomplemented
34C2×#88143—21no—
35C2×#88143—21no—
36C2×#88141—21no—
37C2×#88124C2211yescharacteristic
38C2×#88124C2211yescharacteristic
39C2×#88123C2211yescharacteristic
40C2×C4×Dic26C2211yescharacteristic
41C2×C4×Dic26C2211yescharacteristic
42C2×C4×Dic26C2211yescharacteristic
43C2×#88072C2211yescharacteristic
44C2×#88072C2211yescharacteristic
45C2×#88072C2211yescharacteristic
46#11718755C2218yescomplemented
47#11718741C2218yescomplemented
48#11718726C2218yescomplemented
49#11718725C2218yescomplemented
50#11718724C2218yescomplemented
51#11718724C2218yescomplemented
52#11718685C2218yescomplemented
53#11718679C2218yes—
54#11718679C2218yes—
55C4×#6105C2218yes—
56#11718670C2218yes—
57#11718670C2218yes—
58#11718669C2218yes—
59C2×#88050C2211yescharacteristic
60C2×#88050C2211yescharacteristic
61C2×#88050C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88048C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88047C2211yescharacteristic
68C2×#88047C2211yescharacteristic
69C2×#88047C2211yescharacteristic
70C2×#88047C2211yescharacteristic
71C2×C4⋊#1055C2211yescharacteristic
72C2×C4⋊#1055C2211yescharacteristic
73C2×C4⋊#1055C2211yescharacteristic
74C2×#88043C2211yescharacteristic
75C2×#88043C2211yescharacteristic
76C2×C4×#1055C2211yescharacteristic
77C22×Q8×C13—21no—
78C22×Q8×C13D411yescharacteristic
79C22×D4×C13C2311yescharacteristic
80C23×C4×C13—21no—
81C23×C4×C13—21no—
82C23×C4×C13—21no—
83C22×Dic26—21no—
84C22×Dic26C2311yescharacteristic
85C13×C4⋊Q8—22no—
86C13×C4⋊Q8C2314yes—
87C13×#125—22no—
88C13×#125—22no—
89C13×#125C2314yes—
90C13×#125C2314yes—
91C13×C22⋊Q8—28no—
92C13×C22⋊Q8—28no—
93C13×C22⋊Q8—28no—
94C4×Q8×C13D414yes—
95C4×Q8×C13C2314yes—
96C4×D4×C13—22no—
97C4×D4×C13—22no—
98C4×D4×C13—22no—
99C4×D4×C13C2314yes—
100C4×D4×C13C2314yes—
101C4×D4×C13C2314yes—
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4—21no—
104C2×C13×C4⋊C4—21no—
105C2×C13×C4⋊C4—21no—
106C2×C13×C4⋊C4—21no—
107C2×C13×C4⋊C4—28no—
108C2×C13×C4⋊C4D411yescharacteristic
109C2×C13×C4⋊C4D411yescharacteristic
110C2×C13×C4⋊C4D411yescharacteristic
111C2×C13×C4⋊C4C2311yescharacteristic
112C2×C13×C4⋊C4C2311yescharacteristic
113C2×C13×C4⋊C4C2311yescharacteristic
114C2×C13×C22⋊C4—21no—
115C2×C13×C22⋊C4—21no—
116C2×C13×C22⋊C4—21no—
117C2×C42×C13C2311yescharacteristic
118C2×C42×C13C2311yescharacteristic
119C2×C42×C13C2311yescharacteristic
120#88198—28no—
121C2×#6105Q818yescomplemented
122C2×#6105C2314yes—
123C2×C4⋊Dic13—21no—
124C2×C4⋊Dic13C2311yescharacteristic
125C2×C4⋊Dic13C2311yescharacteristic
126C2×C4⋊Dic13C2311yescharacteristic
127C2×#6101—21no—
128C2×#6101—21no—
129C2×#6101—21no—
130C2×#6101—21no—
131C2×#6101—21no—
132C2×#6101—21no—
133C2×#6101—21no—
134C2×C4×Dic13—21no—
135C2×C4×Dic13—21no—
136C2×C4×Dic13—21no—
137C22×#1055C2311yescharacteristic
138C22×#1055C2311yescharacteristic
139C22×#1055C2311yescharacteristic
140C22×#1055C2311yescharacteristic
141#88143—28no—
142#88143—28no—
143#88141—28no—
144#88124—22no—
145#88124—22no—
146#88124C2314yes—
147#88124C2314yes—
148#88123—22no—
149#88123C2314yes—
150C4×Dic26—22no—
151C4×Dic26—22no—
152C4×Dic26—22no—
153C4×Dic26C2314yes—
154C4×Dic26C2314yes—
155C4×Dic26C2314yes—
156#88072C2314yes—
157#88072C2314yes—
158#88072C2314yes—
159#88050C2314yes—
160#88050C2314yes—
161#88050C2314yes—
162#88048C2314yes—
163#88048C2314yes—
164#88048C2314yes—
165#88048C2314yes—
166#88048C2314yes—
167#88047C2314yes—
168#88047C2314yes—
169#88047C2314yes—
170#88047C2314yes—
171C4⋊#1055C2314yes—
172C4⋊#1055C2314yes—
173C4⋊#1055C2314yes—
174#88043C2314yes—
175#88043C2314yes—
176C4×#1055C2314yes—
177C2×#3388—131nomaximal, Sylow
178C24×C13—21no—
179C2×Q8×C13—24no—
180C2×Q8×C13—42no—
181C2×Q8×C13—82no—
182C2×Q8×C13C2×D414yes—
183C2×D4×C13—21no—
184C2×D4×C13—22no—
185C2×D4×C13C2×Q814yes—
186C2×D4×C13C2412yes—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—24no—
191C22×C4×C13—24no—
192C22×C4×C13—24no—
193C22×C4×C13—44no—
194C22×C4×C13—82no—
195C22×C4×C13—82no—
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2×D411yescharacteristic
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2×D411yescharacteristic
200C22×C4×C13C2×D411yescharacteristic
201C22×C4×C13C2×D411yescharacteristic
202C22×C4×C13C2411yescharacteristic
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—21no—
207C2×Dic26—21no—
208C2×Dic26—22no—
209C2×Dic26—24no—
210C2×Dic26—44no—
211C2×Dic26C2×Q814yes—
212C2×Dic26C2412yes—
213C13×C4⋊C4—24no—
214C13×C4⋊C4—24no—
215C13×C4⋊C4—24no—
216C13×C4⋊C4—24no—
217C13×C4⋊C4—24no—
218C13×C4⋊C4—21no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4—21no—
221C13×C4⋊C4C2×D414yes—
222C13×C4⋊C4C2×D414yes—
223C13×C4⋊C4C2×D414yes—
224C13×C4⋊C4C2412yes—
225C13×C4⋊C4C2412yes—
226C13×C4⋊C4C2412yes—
227C13×C22⋊C4—24no—
228C13×C22⋊C4—24no—
229C13×C22⋊C4—24no—
230C42×C13C2×D412yes—
231C42×C13C2×D412yes—
232C42×C13C2×D412yes—
233C42×C13C2412yes—
234C42×C13C2412yes—
235C42×C13C2412yes—
236#6105C2×Q8116yescomplemented
237C4⋊Dic13—21no—
238C4⋊Dic13—21no—
239C4⋊Dic13—21no—
240C4⋊Dic13—24no—
241C4⋊Dic13C2412yes—
242C4⋊Dic13C2412yes—
243C4⋊Dic13C2412yes—
244#6101—24no—
245#6101—24no—
246#6101—24no—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251C4×Dic13—24no—
252C4×Dic13—24no—
253C4×Dic13—24no—
254C2×#1055—22no—
255C2×#1055—22no—
256C2×#1055—22no—
257C2×#1055C2×Q814yes—
258C2×#1055C2412yes—
259C2×#1055C2412yes—
260C2×#1055C2412yes—
261C2×#1055C2412yes—
262C2×#557—131no—
263C2×#554D1311yescharacteristic
264#3388—1316no—
265C2×#501—131no—
266C2×#501—131no—
267C2×#499—131no—
268C2×#479—131no—
269C2×#479—131no—
270C2×#475—131no—
271C2×#478—131no—
272C2×#478—131no—
273C2×#476—131no—
274C2×#446—131no—
275C2×#440—131no—
276C2×#440—131no—
277C2×C4×SD16—131no—
278C23×C13—24no—
279C23×C13—22no—
280C23×C13—42no—
281C23×C13—42no—
282C23×C13C22×D411yescharacteristic
283Q8×C13—44no—
284Q8×C13—84no—
285D4×C13—24no—
286D4×C13—22no—
287D4×C13C22×Q814yes—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—48no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13—84no—
302C2×C4×C13—84no—
303C2×C4×C13C22×D412yes—
304C2×C4×C13C22×D412yes—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D412yes—
309C2×C4×C13C22×D411yescharacteristic
310C2×C4×C13C22×Q812yes—
311C2×C4×C132−1+412yes—
312C2×C4×C13C2511yescharacteristic
313C2×Dic13—24no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321Dic26—24no—
322Dic26—22no—
323Dic26—48no—
324Dic26C22×Q814yes—
325#1055—22no—
326#1055—22no—
327#1055—22no—
328#1055C22×Q814yes—
329C22×SD16—131no—
330#557—138no—
331#557—264no—
332#554—24no—
333#554C2×D1318yes—
334C2×C4⋊Q8—131no—
335C2×C4⋊Q8—261no—
336C2×C4⋊Q8C2×D1311yescharacteristic
337C2×#125—131no—
338C2×#125—131no—
339C2×#125—261no—
340C2×#125—261no—
341C2×#125C2×D1311yescharacteristic
342C2×#125C2×D1311yescharacteristic
343C2×C22⋊Q8—21no—
344C2×C22⋊Q8—21no—
345C2×C22⋊Q8—21no—
346C2×C4×Q8—131no—
347C2×C4×Q8—131no—
348C2×C4×Q8—131no—
349C2×C4×Q8—261no—
350C2×C4×Q8C2×D1311yescharacteristic
351C2×C4×D4C2×D1311yescharacteristic
352C2×C4×D4C2×D1311yescharacteristic
353C2×C4×D4C2×D1311yescharacteristic
354C22×C4⋊C4—21no—
355#501—138no—
356#501—138no—
357#499—138no—
358#479—138no—
359#479—138no—
360#478—138no—
361#478—138no—
362#476—138no—
363#475—138no—
364#446—138no—
365#440—138no—
366#440—138no—
367C4×SD16—138no—
368C2×#107—131no—
369C2×#107—131no—
370C2×#107—131no—
371C2×#107—131no—
372C2×#106—131no—
373C2×#106—131no—
374C2×#106—131no—
375C2×#106—131no—
376C2×#106—131no—
377C2×C4⋊C8—131no—
378C2×C4⋊C8—131no—
379C2×C4⋊C8—131no—
380C2×#103—131no—
381C2×#103—131no—
382C2×#103—131no—
383C2×#102—131no—
384C2×#102—131no—
385C2×#102—131no—
386C2×#97—131no—
387C2×#97—131no—
388C2×C4×C8—131no—
389C22×C13—24no—
390C22×C13—48no—
391C22×C13—42no—
392C22×C13—42no—
393C22×C13D4×Q812yes—
394C22×C13#57512yes—
395C22×C13#57712yes—
396C22×C13C23×D411yescharacteristic
397C4×C13—22no—
398C4×C13—22no—
399C4×C13—22no—
400C4×C13—22no—
401C4×C13—22no—
402C4×C13—22no—
403C4×C13—42no—
404C4×C13—42no—
405C4×C13—42no—
406C4×C13D4×Q812yes—
407C4×C13C23×Q811yescharacteristic
408C4×C13C2×2−1+411yescharacteristic
409Dic13—24no—
410Dic13—42no—
411Dic13—42no—
412Dic13—42no—
413C22×Q8—21no—
414C22×Q8—131no—
415C22×Q8—261no—
416C22×Q8C22⋊D1311yescharacteristic
417C22×D4C22×D1311yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C2×SD16—138no—
422C2×SD16—134no—
423C22×C8—131no—
424C22×C8—131no—
425C22×C8—131no—
426C22×C8—131no—
427C4⋊Q8—22no—
428C4⋊Q8—134no—
429C4⋊Q8—268no—
430C4⋊Q8—262no—
431C4⋊Q8C22×D1314yes—
432#125—22no—
433#125—22no—
434#125—134no—
435#125—134no—
436#125—268no—
437#125—268no—
438#125—262no—
439#125—262no—
440#125C22×D1314yes—
441#125C22×D1314yes—
442C22⋊Q8—28no—
443C22⋊Q8—28no—
444C22⋊Q8—28no—
445C4×Q8—134no—
446C4×Q8—134no—
447C4×Q8—134no—
448C4×Q8—268no—
449C4×Q8—262no—
450C4×Q8—262no—
451C4×Q8—262no—
452C4×Q8C22⋊D1314yes—
453C4×Q8C22×D1314yes—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4C22×D1314yes—
458C4×D4C22×D1314yes—
459C4×D4C22×D1314yes—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—28no—
466C2×C4⋊C4—131no—
467C2×C4⋊C4—131no—
468C2×C4⋊C4—131no—
469C2×C4⋊C4—261no—
470C2×C4⋊C4—261no—
471C2×C4⋊C4—261no—
472C2×C4⋊C4—261no—
473C2×C4⋊C4—261no—
474C2×C4⋊C4—261no—
475C2×C4⋊C4—261no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4C22⋊D1311yescharacteristic
478C2×C4⋊C4C22⋊D1311yescharacteristic
479C2×C4⋊C4C22⋊D1311yescharacteristic
480C2×C4⋊C4C22×D1311yescharacteristic
481C2×C4⋊C4C22×D1311yescharacteristic
482C2×C4⋊C4C22×D1311yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C42—261no—
487C2×C42—261no—
488C2×C42—261no—
489C2×C42C22×D1311yescharacteristic
490C2×C42C22×D1311yescharacteristic
491C2×C42C22×D1311yescharacteristic
492#107—134no—
493#107—134no—
494#107—134no—
495#107—134no—
496#106—134no—
497#106—134no—
498#106—134no—
499#106—134no—
500#106—134no—
501C4⋊C8—134no—
502C4⋊C8—134no—
503C4⋊C8—134no—
504#103—134no—
505#103—134no—
506#103—134no—
507#102—134no—
508#102—134no—
509#102—134no—
510#97—134no—
511#97—134no—
512C4×C8—134no—
513C2×C13—44no—
514C2×C13#338814yescomplemented
515C2×C13C2×D4×Q811yescharacteristic
516C2×C13C2×#57511yescharacteristic
517C2×C13C2×#57711yescharacteristic
518C24—21no—
519C2×Q8—24no—
520C2×Q8—42no—
521C2×Q8—82no—
522C2×Q8—134no—
523C2×Q8—132no—
524C2×Q8—262no—
525C2×Q8—261no—
526C2×Q8—264no—
527C2×Q8—524no—
528C2×Q8C2×C22⋊D1314yes—
529C2×D4—22no—
530C2×D4—21no—
531C2×D4Q8×D1314yes—
532C2×D4C23×D1312yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—44no—
540C22×C4—82no—
541C22×C4—82no—
542C22×C4—261no—
543C22×C4—261no—
544C22×C4—261no—
545C22×C4—261no—
546C22×C4C2×C22⋊D1311yescharacteristic
547C22×C4C2×C22⋊D1311yescharacteristic
548C22×C4C2×C22⋊D1311yescharacteristic
549C22×C4C2×C22⋊D1311yescharacteristic
550C22×C4C2×C22⋊D1311yescharacteristic
551C22×C4C2×C22⋊D1311yescharacteristic
552C22×C4C23×D1311yescharacteristic
553SD16—1316no—
554C2×C8—134no—
555C2×C8—132no—
556C2×C8—132no—
557C2×C8—132no—
558C2×C8—132no—
559C2×C8—262no—
560C2×C8—262no—
561C2×C8—262no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—132no—
571C4⋊C4—132no—
572C4⋊C4—132no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—264no—
577C4⋊C4—264no—
578C4⋊C4—264no—
579C4⋊C4—264no—
580C4⋊C4—264no—
581C4⋊C4—264no—
582C4⋊C4—264no—
583C4⋊C4—264no—
584C4⋊C4C2×C22⋊D1314yes—
585C4⋊C4C2×C22⋊D1314yes—
586C4⋊C4C2×C22⋊D1314yes—
587C4⋊C4C23×D1312yes—
588C4⋊C4C23×D1312yes—
589C4⋊C4C23×D1312yes—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C42—264no—
594C42—264no—
595C42—264no—
596C42C2×C22⋊D1312yes—
597C42C2×C22⋊D1312yes—
598C42C2×C22⋊D1312yes—
599C42C23×D1312yes—
600C42C23×D1312yes—
601C42C23×D1312yes—
602C13C2×#338811yescharacteristic, complemented, Sylow
603C23—24no—
604C23—22no—
605C23—42no—
606C23—42no—
607C23C22×C22⋊D1311yescharacteristic
608Q8—44no—
609Q8—84no—
610Q8—134no—
611Q8—264no—
612Q8—262no—
613Q8—528no—
614D4—24no—
615D4—22no—
616D4C2×Q8×D1314yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—48no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—84no—
631C2×C4—84no—
632C2×C4—264no—
633C2×C4—262no—
634C2×C4—262no—
635C2×C4—262no—
636C2×C4—262no—
637C2×C4—522no—
638C2×C4—522no—
639C2×C4—522no—
640C2×C4C2×Q8×D1312yes—
641C2×C4#8825412yes—
642C2×C4C22×C22⋊D1312yes—
643C2×C4C22×C22⋊D1312yes—
644C2×C4C22×C22⋊D1312yes—
645C2×C4C22×C22⋊D1312yes—
646C2×C4C22×C22⋊D1312yes—
647C2×C4C22×C22⋊D1312yes—
648C2×C4C22×C22⋊D1311yescharacteristic
649C2×C4C24×D1311yescharacteristic
650C8—134no—
651C8—262no—
652C8—262no—
653C8—262no—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22Q8×C22⋊D1312yes—
659C22#1171952712yes—
660C22#1171954112yes—
661C22C23×C22⋊D1311yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—264no—
672C4—522no—
673C4—522no—
674C4—522no—
675C4Q8×C22⋊D1312yes—
676C4C22×Q8×D1311yescharacteristic
677C4C2×#8825411yescharacteristic
678C2—44no—
679C2#1312778114yesdirect product factor
680C2C2×Q8×C22⋊D1311yescharacteristic
681C2C2×#1171952711yescharacteristic
682C2C2×#1171954111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#554C2
socleC23×C13C22×D4
prime radicalC22×D4×C13C23
hypercenterC2×#554D13
hypocenterC13C2×#3388
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×#11719272C2semidirect
2. #13127781C2direct (N × H)
3. C2×#11718726C2semidirect
4. C2×#11718741C2semidirect
5. C2×#11718725C2semidirect
6. C2×#11718724C2semidirect
7. C2×#11718724C2semidirect
8. C2×#11718755C2semidirect
12. C2×#11718685C2semidirect
33. #11719272C22semidirect
46. #11718755C22semidirect
47. #11718741C22semidirect
48. #11718726C22semidirect
49. #11718725C22semidirect
50. #11718724C22semidirect
51. #11718724C22semidirect
52. #11718685C22semidirect
121. C2×#6105Q8semidirect
236. #6105C2×Q8semidirect
514. C2×C13#3388semidirect
602. C13C2×#3388semidirect
679. C2#13127781direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192722
#131277812
C2×#117187262
C2×#117187412
C2×#117187252
C2×#117187242
C2×#117187552
C2×#117186702
C2×#117186692
C2×#117186852
C2×#117186792
C2×C4×#61052
C2×C13×#5542
C2×#338813