Finite Group Databasebeta

← C2×#13126289 #16735875

Subgroups — C2×#13126289 #16735875

Order 3328.

1754 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719402C211yesmaximal, characteristic
2C2×#11719288C211yesmaximal, characteristic
3#13126289C2116yesmaximal, direct product factor
4C2×#11718518C211yesmaximal, characteristic, complemented
5C2×#11718538C211yesmaximal, characteristic, complemented
6C2×#11718724C211yesmaximal, characteristic, complemented
7C2×#11718529C211yesmaximal, characteristic
8C2×#11718477C211yesmaximal, characteristic
9C2×#11718548C211yesmaximal, characteristic
10C2×#11718474C211yesmaximal, characteristic
11C2×#11718510C211yesmaximal, characteristic, complemented
12C2×#11718692C211yesmaximal, characteristic, complemented
13C2×#11718454C211yesmaximal, characteristic, complemented
14C2×#11718454C211yesmaximal, characteristic, complemented
15C2×#11718500C211yesmaximal, characteristic
16C2×C13×#479C211yesmaximal, characteristic, complemented
17C2×C13×#125C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×#88200C2211yescharacteristic
20C2×#88198C2211yescharacteristic
21C22×#6107C2211yescharacteristic
22C22×#6107C2211yescharacteristic
23C22×Dic52C2211yescharacteristic
24C22×Dic52C2211yescharacteristic
25C22×#6094C2211yescharacteristic
26C22×C8×D13C2211yescharacteristic
27#11719402—24no—
28#11719402C2218yes—
29#11719288—24no—
30#11719288C2218yes—
31C2×#88152—21no—
32C2×#88152—21no—
33C2×#88152—21no—
34C2×#88151C2211yescharacteristic
35C2×#88151C2211yescharacteristic
36C2×#88151C2211yescharacteristic
37C2×#88144—21no—
38C2×#88144—21no—
39C2×#88144C2211yescharacteristic
40C2×#88143—21no—
41C2×#88141C2211yescharacteristic
42C2×#88141C2211yescharacteristic
43C2×#88130—21no—
44C2×#88126C2211yescharacteristic
45C2×#88124—21no—
46C2×#88123C2211yescharacteristic
47C2×C4×Dic26C2211yescharacteristic
48C13×#479C2218yescomplemented
49C2×C13×#107C2211yescharacteristic
50C2×C13×#106C2211yescharacteristic
51C2×C13×C4⋊C8C2211yescharacteristic
52C2×C13×#103C2211yescharacteristic
53C2×C13×#103C2211yescharacteristic
54C2×#88056C2211yescharacteristic
55C2×#88056C2211yescharacteristic
56C2×#88054C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58#11718724C2218yescomplemented
59#11718692C2218yescomplemented
60C2×#88050C2211yescharacteristic
61C2×#88050C2211yescharacteristic
62C2×#88050C2211yescharacteristic
63C2×#88050C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67#11718548C2218yes—
68#11718538C2218yescomplemented
69#11718529C2218yes—
70#11718518C2218yescomplemented
71#11718510C2218yescomplemented
72#11718500C2218yes—
73#11718477C2218yes—
74#11718474C2218yes—
75#11718454C2218yescomplemented
76#11718454C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×C4×D13C2311yescharacteristic
79C22×Dic26C2311yescharacteristic
80C22×Dic26C2311yescharacteristic
81C22×Dic26C2311yescharacteristic
82C22×C8×C13C2311yescharacteristic
83C22×C8×C13C2311yescharacteristic
84C13×#125—22no—
85C13×#125C2314yes—
86C4×Q8×C13—22no—
87C4×Q8×C13C2314yes—
88C2×C13×C4⋊C4—21no—
89C2×C13×C4⋊C4—21no—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4C2311yescharacteristic
92C2×C13×C4⋊C4C2311yescharacteristic
93C2×C13×C4⋊C4C2311yescharacteristic
94C2×C42×C13—21no—
95C2×C42×C13C2311yescharacteristic
96#88200—22no—
97#88200C2314yes—
98#88198—22no—
99#88198C2314yes—
100C2×#6107—42no—
101C2×#6107—42no—
102C2×#6107C2314yes—
103C2×#6107C2314yes—
104C2×#6103—21no—
105C2×#6103—21no—
106C2×#6103—21no—
107C2×#6103—21no—
108C2×#6103D411yescharacteristic
109C2×#6103D411yescharacteristic
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13C2311yescharacteristic
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101D411yescharacteristic
125C2×#6101D411yescharacteristic
126C2×C4×Dic13—21no—
127C2×C4×Dic13—21no—
128C2×C4×Dic13—21no—
129C2×C4×Dic13C2311yescharacteristic
130C22×#1055C2311yescharacteristic
131C22×#1055C2311yescharacteristic
132C2×Dic52—42no—
133C2×Dic52—42no—
134C2×Dic52C2314yes—
135C2×Dic52C2314yes—
136C2×#6094—42no—
137C2×#6094C2314yes—
138C2×C8×D13—42no—
139C2×C8×D13C2314yes—
140#88152—28no—
141#88152—28no—
142#88152—28no—
143#88151—22no—
144#88151—22no—
145#88151—22no—
146#88151C2314yes—
147#88151C2314yes—
148#88151C2314yes—
149#88144—28no—
150#88144—28no—
151#88144—22no—
152#88144C2314yes—
153#88143—28no—
154#88141—22no—
155#88141—22no—
156#88141C2314yes—
157#88141C2314yes—
158#88130—28no—
159#88126D414yes—
160#88126C2314yes—
161#88124—28no—
162#88123—22no—
163#88123C2314yes—
164C4×Dic26—22no—
165C4×Dic26C2314yes—
166C13×#107C2314yes—
167C13×#106C2314yes—
168C13×C4⋊C8C2314yes—
169C13×#103C2314yes—
170C13×#103C2314yes—
171#88056C2314yes—
172#88056C2314yes—
173#88054C2314yes—
174#88054C2314yes—
175#88050C2314yes—
176#88050C2314yes—
177#88050C2314yes—
178#88050C2314yes—
179#88048C2314yes—
180#88047C2314yes—
181C4⋊#1055C2314yes—
182C2×#3261—131nomaximal, Sylow
183C23×D13C2×D411yescharacteristic
184C2×Q8×C13—21no—
185C2×Q8×C13—22no—
186C2×Q8×C13—22no—
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
202C2×C4×D13—22no—
203C2×C4×D13—22no—
204C2×C4×D13C2×D412yes—
205C2×C4×D13C2412yes—
206C2×Dic26—22no—
207C2×Dic26—22no—
208C2×Dic26—22no—
209C2×Dic26—22no—
210C2×Dic26—22no—
211C2×Dic26—22no—
212C2×Dic26—21no—
213C2×Dic26—21no—
214C2×Dic26—21no—
215C2×Dic26C2412yes—
216C2×Dic26C2412yes—
217C2×Dic26C2412yes—
218C2×C8×C13—22no—
219C2×C8×C13—22no—
220C2×C8×C13C2412yes—
221C2×C8×C13C2412yes—
222C13×C4⋊C4—21no—
223C13×C4⋊C4—21no—
224C13×C4⋊C4—24no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—24no—
227C13×C4⋊C4—24no—
228C13×C4⋊C4C2412yes—
229C13×C4⋊C4C2412yes—
230C13×C4⋊C4C2412yes—
231C42×C13—24no—
232C42×C13C2×D412yes—
233C42×C13C2412yes—
234#6107—44no—
235#6107—44no—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239#6103—24no—
240#6103C2×D414yes—
241#6103C2×D414yes—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13—24no—
245C4⋊Dic13—24no—
246C4⋊Dic13—24no—
247C4⋊Dic13—24no—
248C4⋊Dic13—24no—
249C4⋊Dic13C2412yes—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101C2×D414yes—
258#6101C2×D414yes—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C4×Dic13C2×D412yes—
263C4×Dic13C2412yes—
264C2×#1055—22no—
265C2×#1055—22no—
266C2×#1055C2412yes—
267C2×#1055C2412yes—
268Dic52—44no—
269Dic52—44no—
270#6094—44no—
271C8×D13—44no—
272C2×#541—131no—
273C2×#541—131no—
274#3261—1316no—
275C2×#479—131no—
276C2×#479—131no—
277C2×#479—131no—
278C2×#479D1311yescharacteristic, complemented
279C2×#470—131no—
280C2×#470—131no—
281C2×#467—131no—
282C2×#467—131no—
283C2×#462—131no—
284C2×#462—131no—
285C2×#462—131no—
286C2×#462—131no—
287C2×#424—131no—
288C23×C13C22×D411yescharacteristic
289C22×D13—22no—
290C22×D13—22no—
291C22×D13—22no—
292C22×D13C22×D412yes—
293Q8×C13—22no—
294Q8×C13—22no—
295Q8×C13—42no—
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×C13—42no—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D411yescharacteristic
309C2×C4×C13H(5,𝔽2)12yes—
310C2×C4×C132−1+412yes—
311C2×C4×C13C2511yescharacteristic
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13C22×D412yes—
324C2×Dic13C22×D412yes—
325C2×Dic13C22×D412yes—
326C4×D13—24no—
327C4×D13—22no—
328C4×D13—22no—
329Dic26—22no—
330Dic26—22no—
331Dic26—22no—
332Dic26—22no—
333Dic26—22no—
334Dic26—22no—
335Dic26—42no—
336Dic26—42no—
337Dic26—42no—
338C8×C13—22no—
339C8×C13—22no—
340#1055—22no—
341#1055—22no—
342C22×Q16—131no—
343C22×Q16—131no—
344C22×Q16—131no—
345C22×Q16—131no—
346C22×M16—131no—
347C23×C8—131no—
348#541—138no—
349#541—138no—
350#541—264no—
351#541—264no—
352C2×C4⋊Q8—131no—
353C2×C4⋊Q8—131no—
354C2×#126—261no—
355C2×#126—261no—
356C2×#126—261no—
357C2×#126—261no—
358C2×#125—131no—
359C2×#125—261no—
360C2×#125—261no—
361C2×#125—261no—
362C2×#125—261no—
363C2×#125C2×D1311yescharacteristic
364C2×C22⋊Q8—131no—
365C2×C22⋊Q8—131no—
366C2×C22⋊Q8—131no—
367C2×C22⋊Q8—131no—
368C2×C4×Q8—131no—
369C2×C4×Q8—131no—
370C2×C4×Q8—131no—
371C2×C4×Q8C2×D1311yescharacteristic
372C2×#117—131no—
373#479—138no—
374#479—138no—
375#479—138no—
376#479C2×D1318yescomplemented
377#470—138no—
378#470—138no—
379#467—138no—
380#467—138no—
381#462—138no—
382#462—138no—
383#462—138no—
384#462—138no—
385C2×#107—131no—
386C2×#107C2×D1311yescharacteristic
387C2×#106—131no—
388C2×#106C2×D1311yescharacteristic
389#424—138no—
390C2×C4⋊C8—131no—
391C2×C4⋊C8—131no—
392C2×C4⋊C8—131no—
393C2×C4⋊C8C2×D1311yescharacteristic
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#103—131no—
399C2×#103—131no—
400C2×#103C2×D1311yescharacteristic
401C2×#103C2×D1311yescharacteristic
402C22×C13#53712yes—
403C22×C13#57812yes—
404C22×C13#57812yes—
405C22×C13C23×D411yescharacteristic
406C2×D13—22no—
407C2×D13—22no—
408C2×D13—22no—
409C2×D13—44no—
410C4×C13—22no—
411C4×C13—22no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13—42no—
416C4×C13#53712yes—
417C4×C13C2×H(5,𝔽2)11yescharacteristic
418C4×C13C2×2−1+411yescharacteristic
419Dic13—22no—
420Dic13—22no—
421Dic13—22no—
422Dic13—42no—
423Dic13—42no—
424Dic13—42no—
425Dic13—42no—
426C22×Q8—131no—
427C22×Q8—131no—
428C22×Q8—131no—
429C22×Q8C22×D1311yescharacteristic
430C23×C4—131no—
431C2×Q16—134no—
432C2×Q16—134no—
433C2×Q16—134no—
434C2×Q16—134no—
435C2×Q16—522no—
436C2×Q16—522no—
437C2×Q16—522no—
438C2×Q16—522no—
439C2×M16—134no—
440C2×M16—522no—
441C22×C8—131no—
442C22×C8—131no—
443C22×C8—134no—
444C22×C8—522no—
445C22×C8C22×D1311yescharacteristic
446C22×C8C22×D1311yescharacteristic
447C4⋊Q8—134no—
448C4⋊Q8—134no—
449C4⋊Q8—262no—
450C4⋊Q8—262no—
451#126—268no—
452#126—268no—
453#126—268no—
454#126—268no—
455#125—22no—
456#125—134no—
457#125—268no—
458#125—262no—
459#125—268no—
460#125—268no—
461#125—268no—
462#125C22×D1314yes—
463C22⋊Q8—134no—
464C22⋊Q8—134no—
465C22⋊Q8—134no—
466C22⋊Q8—134no—
467C22⋊Q8—262no—
468C22⋊Q8—262no—
469C22⋊Q8—262no—
470C22⋊Q8—262no—
471C4×Q8—22no—
472C4×Q8—134no—
473C4×Q8—134no—
474C4×Q8—134no—
475C4×Q8—262no—
476C4×Q8—262no—
477C4×Q8—262no—
478C4×Q8C22×D1314yes—
479#117—134no—
480#117—134no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—131no—
485C2×C4⋊C4—131no—
486C2×C4⋊C4—131no—
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⋊C4—261no—
494C2×C4⋊C4—261no—
495C2×C4⋊C4—261no—
496C2×C4⋊C4—261no—
497C2×C4⋊C4—261no—
498C2×C4⋊C4—261no—
499C2×C4⋊C4—261no—
500C2×C4⋊C4C22×D1311yescharacteristic
501C2×C4⋊C4C22×D1311yescharacteristic
502C2×C4⋊C4C22×D1311yescharacteristic
503C2×C22⋊C4—131no—
504C2×C22⋊C4—131no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C22⋊C4—261no—
509C2×C42—21no—
510C2×C42—131no—
511C2×C42—261no—
512C2×C42—261no—
513C2×C42—261no—
514C2×C42C22×D1311yescharacteristic
515#107—134no—
516#107C22×D1314yes—
517#106—134no—
518#106C22×D1314yes—
519C4⋊C8—134no—
520C4⋊C8—134no—
521C4⋊C8—134no—
522C4⋊C8C22×D1314yes—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#103—134no—
528#103—134no—
529#103C22×D1314yes—
530#103C22×D1314yes—
531C2×C13#326114yescomplemented
532C2×C13C2×#53711yescharacteristic
533C2×C13C2×#57811yescharacteristic
534C2×C13C2×#57811yescharacteristic
535D13—42no—
536C24—131no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—132no—
541C2×Q8—132no—
542C2×Q8—132no—
543C2×Q8—261no—
544C2×Q8—261no—
545C2×Q8—261no—
546C2×Q8—262no—
547C2×Q8—262no—
548C2×Q8—262no—
549C2×Q8—262no—
550C2×Q8—262no—
551C2×Q8—262no—
552C2×Q8C23×D1312yes—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—131no—
558C22×C4—131no—
559C22×C4—131no—
560C22×C4—132no—
561C22×C4—132no—
562C22×C4—262no—
563C22×C4—262no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—261no—
568C22×C4D4×D1311yescharacteristic
569C22×C4D4×D1311yescharacteristic
570C22×C4C23×D1311yescharacteristic
571Q16—524no—
572Q16—524no—
573Q16—524no—
574Q16—524no—
575M16—524no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—132no—
579C2×C8—132no—
580C2×C8—262no—
581C2×C8—262no—
582C2×C8—524no—
583C2×C8C23×D1312yes—
584C2×C8C23×D1312yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—134no—
592C4⋊C4—134no—
593C4⋊C4—132no—
594C4⋊C4—264no—
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⋊C4—261no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4C23×D1312yes—
609C4⋊C4C23×D1312yes—
610C4⋊C4C23×D1312yes—
611C22⋊C4—134no—
612C22⋊C4—134no—
613C22⋊C4—264no—
614C22⋊C4—264no—
615C22⋊C4—264no—
616C22⋊C4—264no—
617C42—24no—
618C42—132no—
619C42—132no—
620C42—264no—
621C42—264no—
622C42—264no—
623C42D4×D1312yes—
624C42C23×D1312yes—
625C13C2×#326111yescharacteristic, complemented, Sylow
626C23—132no—
627C23—262no—
628C23—262no—
629C23—262no—
630C23C2×D4×D1311yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—42no—
634Q8—262no—
635Q8—262no—
636Q8—262no—
637Q8—262no—
638Q8—262no—
639Q8—262no—
640Q8—522no—
641Q8—522no—
642Q8—522no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—132no—
654C2×C4—132no—
655C2×C4—132no—
656C2×C4—262no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—264no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4C2×D4×D1312yes—
671C2×C4C2×D4×D1312yes—
672C2×C4C2×D4×D1311yescharacteristic
673C2×C4#8825412yes—
674C2×C4#8825612yes—
675C2×C4C24×D1311yescharacteristic
676C8—22no—
677C8—22no—
678C8—262no—
679C8—262no—
680C22—262no—
681C22—262no—
682C22—262no—
683C22—524no—
684C22#1171933412yes—
685C22#1171947612yes—
686C22#1171948412yes—
687C22C22×D4×D1311yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—262no—
695C4—262no—
696C4—262no—
697C4—522no—
698C4—522no—
699C4—522no—
700C4—522no—
701C4#1171933412yes—
702C4C2×#8825411yescharacteristic
703C4C2×#8825611yescharacteristic
704C2—522no—
705C2#1312628914yesdirect product factor
706C2C2×#1171933411yescharacteristic
707C2C2×#1171947611yescharacteristic
708C2C2×#1171948411yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#479C2
socleC23×C13C22×D4
prime radicalC23×D13C2×D4
hypercenterC2×#479D13
hypocenterC13C2×#3261
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #13126289C2direct (N × H)
4. C2×#11718518C2semidirect
5. C2×#11718538C2semidirect
6. C2×#11718724C2semidirect
11. C2×#11718510C2semidirect
12. C2×#11718692C2semidirect
13. C2×#11718454C2semidirect
14. C2×#11718454C2semidirect
16. C2×C13×#479C2semidirect
48. C13×#479C22semidirect
58. #11718724C22semidirect
59. #11718692C22semidirect
68. #11718538C22semidirect
70. #11718518C22semidirect
71. #11718510C22semidirect
75. #11718454C22semidirect
76. #11718454C22semidirect
278. C2×#479D13semidirect
376. #479C2×D13semidirect
531. C2×C13#3261semidirect
625. C13C2×#3261semidirect
705. C2#13126289direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117194022
C2×#117192882
#131262892
C2×#117185182
C2×#117185382
C2×#117187242
C2×#117185292
C2×#117184772
C2×#117185482
C2×#117184742
C2×#117185102
C2×#117186922
C2×#117184542
C2×#117185002
C2×C13×#4792
C2×#326113