Finite Group Databasebeta

← C2×#13127293 #16741468

Subgroups — C2×#13127293 #16741468

Order 3328.

1878 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719248C211yesmaximal, characteristic
2C2×#11719246C211yesmaximal, characteristic
3#13127293C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718383C211yesmaximal, characteristic, complemented
6C2×#11718384C211yesmaximal, characteristic, complemented
7C2×#11718382C211yesmaximal, characteristic, complemented
8C2×#11718382C211yesmaximal, characteristic, complemented
9C2×#11718490C211yesmaximal, characteristic, complemented
10C2×#11718512C211yesmaximal, characteristic, complemented
11C2×#11718798C211yesmaximal, characteristic, complemented
12C2×#11718777C211yesmaximal, characteristic, complemented
13C2×#11718377C211yesmaximal, characteristic, complemented
14C2×#11718782C211yesmaximal, characteristic, complemented
15C22×#88057C211yesmaximal, characteristic, complemented
16C2×C13×#435C211yesmaximal, characteristic
17C22×C13×M16C2211yescharacteristic
18C23×C8×C13C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×#88189—21no—
21C2×D4×Dic13—21no—
22C2×#88180C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C22×C4⋊Dic13C2211yescharacteristic
25C22×C4⋊Dic13C2211yescharacteristic
26C2×#88178C2211yescharacteristic
27C2×#88178C2211yescharacteristic
28C2×#88178C2211yescharacteristic
29C2×#88178C2211yescharacteristic
30C22×Dic52C2211yescharacteristic
31#11719248—24no—
32#11719248C2218yes—
33#11719246—24no—
34#11719246C2218yes—
35C2×#88144—21no—
36C2×#88143—21no—
37C2×#88133—21no—
38C2×#88132—21no—
39C2×#88132—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
53C2×#88058C2211yescharacteristic
54C2×#88058C2211yescharacteristic
55C2×#88058C2211yescharacteristic
56C2×#88057C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88057C2211yescharacteristic
59C2×#88057C2211yescharacteristic
60C2×#88057C2211yescharacteristic
61C2×#88057C2211yescharacteristic
62C2×#88057C2218yescomplemented
63C2×#88056C2211yescharacteristic
64C2×#88056C2211yescharacteristic
65C2×#88056C2211yescharacteristic
66C2×#88056C2211yescharacteristic
67C2×#88056C2211yescharacteristic
68C2×#88056C2211yescharacteristic
69#11718512C2218yescomplemented
70#11718490C2218yescomplemented
71#11718384C2218yescomplemented
72#11718383C2218yescomplemented
73#11718382C2218yescomplemented
74#11718382C2218yescomplemented
75#11718377C2218yescomplemented
76#11718363C2218yescomplemented
77C22×D4×C13D411yescharacteristic
78C23×C4×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C23×Dic13—21no—
81C23×Dic13—21no—
82C23×Dic13—21no—
83C22×Dic26—21no—
84C22×Dic26C2311yescharacteristic
85C22×Dic26C2311yescharacteristic
86C2×C13×M16—24no—
87C2×C13×M16C2314yes—
88C22×C8×C13—24no—
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C22×C8×C13C2311yescharacteristic
92C22×C8×C13C2314yes—
93C22×C8×C13C2311yescharacteristic
94C4×D4×C13D414yes—
95C4×D4×C13C2314yes—
96C2×C13×C4⋊C4D411yescharacteristic
97C2×C13×C22⋊C4D411yescharacteristic
98C2×C13×C22⋊C4D411yescharacteristic
99C2×C42×C13C2311yescharacteristic
100C2×C22⋊Dic13—21no—
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13—21no—
103C2×C22⋊Dic13—21no—
104C2×C22⋊Dic13—21no—
105#88189—28no—
106D4×Dic13—28no—
107#88180—22no—
108#88180C2314yes—
109C2×C4⋊Dic13—21no—
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13—22no—
114C2×C4⋊Dic13—22no—
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—
123C2×C4⋊Dic13C2314yes—
124C2×C4⋊Dic13C2314yes—
125#88178—22no—
126#88178—22no—
127#88178—22no—
128#88178—22no—
129#88178C2314yes—
130#88178C2314yes—
131#88178C2314yes—
132#88178C2314yes—
133C2×#6101—21no—
134C2×#6101—21no—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×#6101—21no—
138C2×#6101—21no—
139C2×#6101—21no—
140C2×#6101—21no—
141C2×C4×Dic13—21no—
142C2×C4×Dic13—21no—
143C2×C4×Dic13—21no—
144C2×Dic52—24no—
145C2×Dic52C2314yes—
146#88144—28no—
147#88143—28no—
148#88133—28no—
149#88132—28no—
150#88132—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#88057C2314yes—
168#88057C2314yes—
169#88057C2314yes—
170#88057C2314yes—
171#88057C2314yes—
172#88057C2314yes—
173#88056C2314yes—
174#88056C2314yes—
175#88056C2314yes—
176#88056C2314yes—
177#88056C2314yes—
178#88056C2314yes—
179C2×#3344—131nomaximal, Sylow
180C24×C13C2×D411yescharacteristic
181C24×C13C2×D411yescharacteristic
182C2×D4×C13—24no—
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—24no—
207C22×Dic13—24no—
208C22×Dic13—44no—
209C22×Dic13—82no—
210C22×Dic13—82no—
211C2×Dic26—22no—
212C2×Dic26—22no—
213C2×Dic26—22no—
214C2×Dic26—22no—
215C2×Dic26—21no—
216C2×Dic26—21no—
217C2×Dic26—24no—
218C2×Dic26—82no—
219C2×Dic26C2412yes—
220C2×Dic26C2412yes—
221C13×M16—28no—
222C2×C8×C13—22no—
223C2×C8×C13—22no—
224C2×C8×C13—22no—
225C2×C8×C13—28no—
226C2×C8×C13#4114yes—
227C2×C8×C13C2412yes—
228C2×C8×C13C2412yes—
229C2×C8×C13C2412yes—
230C2×C8×C13C2412yes—
231C13×C4⋊C4C2×D414yes—
232C13×C22⋊C4C2×D414yes—
233C13×C22⋊C4C2×D414yes—
234C42×C13C2×D412yes—
235C42×C13C2412yes—
236C22⋊Dic13—24no—
237C22⋊Dic13—24no—
238C22⋊Dic13—24no—
239C22⋊Dic13—24no—
240C22⋊Dic13—24no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—24no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13—24no—
249C4⋊Dic13—24no—
250C4⋊Dic13—24no—
251C4⋊Dic13C2412yes—
252C4⋊Dic13C2412yes—
253C4⋊Dic13C2412yes—
254C4⋊Dic13C2412yes—
255C4⋊Dic13C2412yes—
256C4⋊Dic13C2412yes—
257#6101—24no—
258#6101—24no—
259#6101—24no—
260#6101—24no—
261#6101—24no—
262#6101—24no—
263#6101—24no—
264#6101—24no—
265C4×Dic13—24no—
266C4×Dic13—24no—
267C4×Dic13—24no—
268Dic52—28no—
269C2×#554—131no—
270C2×#552—131no—
271#3344—1316no—
272C2×#501—131no—
273C2×#484—131no—
274C2×#485—131no—
275C2×#483—131no—
276C2×#483—131no—
277C2×#479—131no—
278C2×#475—131no—
279C2×#470—131no—
280C2×#467—131no—
281C2×#441—131no—
282C2×#435D1311yescharacteristic
283C2×#428—131no—
284C22×#106—131no—
285C23×C13—22no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13—22no—
289C23×C13—22no—
290C23×C13#13714yes—
291C23×C13C22×D412yes—
292C23×C13C22×D412yes—
293C23×C13C22×D411yescharacteristic
294D4×C13—28no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—24no—
300C2×C4×C13—24no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D412yes—
309C2×C4×C13C22×D411yescharacteristic
310C2×C4×C13C2×#4112yes—
311C2×C4×C132−1+412yes—
312C2×C4×C13C2511yescharacteristic
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13—48no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13—42no—
327C2×Dic13—42no—
328C2×Dic13—42no—
329C2×Dic13—42no—
330C2×Dic13—84no—
331C2×Dic13—84no—
332Dic26—22no—
333Dic26—22no—
334Dic26—22no—
335Dic26—22no—
336Dic26—42no—
337Dic26—42no—
338Dic26—84no—
339C8×C13—22no—
340C8×C13—22no—
341C8×C13—22no—
342C8×C13C2×#4114yes—
343C22×Q16—131no—
344C22×M16C2×D1311yescharacteristic
345C23×C8C2×D1311yescharacteristic
346#554—138no—
347#554—264no—
348#552—138no—
349#552—264no—
350C2×C4⋊Q8—131no—
351C2×#126—261no—
352C2×#125—131no—
353C2×#125—261no—
354C2×#125—261no—
355C2×#123—261no—
356C2×C22⋊Q8—131no—
357C2×C22⋊Q8—131no—
358C2×C22⋊Q8—131no—
359C2×C22⋊Q8—131no—
360C2×C22⋊Q8—261no—
361C2×C22⋊Q8—261no—
362C2×C4×Q8—131no—
363C2×C4×Q8—131no—
364C2×C4×D4—261no—
365C2×C4×D4C2×D1311yescharacteristic
366C2×#117—131no—
367C2×#117—261no—
368C22×C4⋊C4—131no—
369C22×C4⋊C4—131no—
370C22×C4⋊C4—131no—
371#501—138no—
372#485—138no—
373#484—138no—
374#483—138no—
375#483—138no—
376#479—138no—
377#475—138no—
378#470—138no—
379#467—138no—
380#441—138no—
381#435C2×D1318yes—
382#428—138no—
383C2×#107—131no—
384C2×#107—131no—
385C2×#107—131no—
386C2×#106—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×#106—131no—
390C2×#106—138no—
391C2×#106—131no—
392C2×#106—131no—
393C2×C4⋊C8C2×D1311yescharacteristic
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#103—131no—
399C2×#103—131no—
400C2×C22⋊C8C2×D1311yescharacteristic
401C2×C22⋊C8C2×D1311yescharacteristic
402C2×#97C2×D1311yescharacteristic
403C22×C13—28no—
404C22×C13—22no—
405C22×C13—22no—
406C22×C13—22no—
407C22×C13—22no—
408C22×C13—22no—
409C22×C13—44no—
410C22×C13#54712yes—
411C22×C13C2×#13714yes—
412C22×C13C2×#13712yes—
413C22×C13#57712yes—
414C22×C13C23×D411yescharacteristic
415C4×C13—22no—
416C4×C13—22no—
417C4×C13—22no—
418C4×C13—22no—
419C4×C13#54712yes—
420C4×C13C22×#4111yescharacteristic
421C4×C13C2×2−1+411yescharacteristic
422Dic13—42no—
423Dic13—42no—
424Dic13—42no—
425Dic13—42no—
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13—42no—
430C22×Q8—131no—
431C22×Q8—131no—
432C22×Q8—261no—
433C22×D4D5211yescharacteristic
434C23×C4—261no—
435C23×C4—261no—
436C23×C4—261no—
437C23×C4C22×D1311yescharacteristic
438C23×C4C22×D1311yescharacteristic
439C2×Q16—134no—
440C2×Q16—264no—
441C2×M16—24no—
442C2×M16C22×D1314yes—
443C22×C8—24no—
444C22×C8C22×D1311yescharacteristic
445C22×C8C22×D1314yes—
446C22×C8C22×D1311yescharacteristic
447C22×C8C22×D1311yescharacteristic
448C22×C8C22×D1311yescharacteristic
449C4⋊Q8—134no—
450C4⋊Q8—262no—
451#126—268no—
452#125—134no—
453#125—268no—
454#125—268no—
455#125—262no—
456#123—268no—
457C22⋊Q8—134no—
458C22⋊Q8—134no—
459C22⋊Q8—134no—
460C22⋊Q8—134no—
461C22⋊Q8—262no—
462C22⋊Q8—262no—
463C22⋊Q8—262no—
464C22⋊Q8—262no—
465C22⋊Q8—268no—
466C22⋊Q8—268no—
467C4×Q8—134no—
468C4×Q8—134no—
469C4×Q8—262no—
470C4×Q8—262no—
471C4×D4—268no—
472C4×D4D5214yes—
473C4×D4C22×D1314yes—
474#117—134no—
475#117—262no—
476#117—268no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—134no—
483C2×C4⋊C4—134no—
484C2×C4⋊C4—134no—
485C2×C4⋊C4—131no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—261no—
489C2×C4⋊C4—262no—
490C2×C4⋊C4—262no—
491C2×C4⋊C4—262no—
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⋊C4—261no—
501C2×C4⋊C4D5211yescharacteristic
502C2×C22⋊C4—261no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4D5211yescharacteristic
508C2×C22⋊C4D5211yescharacteristic
509C2×C42—261no—
510C2×C42—261no—
511C2×C42—261no—
512C2×C42C22×D1311yescharacteristic
513#107—134no—
514#107—134no—
515#107—134no—
516#106—134no—
517#106—134no—
518#106—134no—
519#106—134no—
520#106—134no—
521#106—134no—
522C4⋊C8C22×D1314yes—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#103—134no—
528#103—134no—
529C22⋊C8C22×D1314yes—
530C22⋊C8C22×D1314yes—
531#97C22×D1314yes—
532C2×C13—24no—
533C2×C13—42no—
534C2×C13#334414yescomplemented
535C2×C13C2×#54711yescharacteristic
536C2×C13C22×#13711yescharacteristic
537C2×C13C2×#57711yescharacteristic
538C24C2×D5211yescharacteristic
539C24C2×D5211yescharacteristic
540C2×Q8—132no—
541C2×Q8—132no—
542C2×Q8—261no—
543C2×Q8—261no—
544C2×Q8—264no—
545C2×Q8—262no—
546C2×Q8—262no—
547C2×Q8—262no—
548C2×Q8—262no—
549C2×Q8—1042no—
550C2×D4—24no—
551C2×D4C2×D5214yes—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—264no—
557C22×C4—261no—
558C22×C4—261no—
559C22×C4—261no—
560C22×C4—261no—
561C22×C4—261no—
562C22×C4—261no—
563C22×C4—261no—
564C22×C4—261no—
565C22×C4—264no—
566C22×C4—264no—
567C22×C4—524no—
568C22×C4—1042no—
569C22×C4—1042no—
570C22×C4C2×D5212yes—
571C22×C4C2×D5212yes—
572C22×C4C2×D5211yescharacteristic
573C22×C4C2×D5211yescharacteristic
574C22×C4C2×D5211yescharacteristic
575C22×C4C2×D5211yescharacteristic
576C22×C4C23×D1312yes—
577C22×C4C23×D1312yes—
578C22×C4C23×D1311yescharacteristic
579Q16—268no—
580M16—28no—
581C2×C8—22no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—28no—
585C2×C8#612914yes—
586C2×C8C23×D1312yes—
587C2×C8C23×D1312yes—
588C2×C8C23×D1312yes—
589C2×C8C23×D1312yes—
590C4⋊C4—132no—
591C4⋊C4—132no—
592C4⋊C4—132no—
593C4⋊C4—132no—
594C4⋊C4—132no—
595C4⋊C4—132no—
596C4⋊C4—261no—
597C4⋊C4—261no—
598C4⋊C4—264no—
599C4⋊C4—264no—
600C4⋊C4—261no—
601C4⋊C4—261no—
602C4⋊C4—261no—
603C4⋊C4—264no—
604C4⋊C4—261no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4—264no—
609C4⋊C4—264no—
610C4⋊C4—264no—
611C4⋊C4—264no—
612C4⋊C4—264no—
613C4⋊C4—264no—
614C4⋊C4C2×D5214yes—
615C22⋊C4—264no—
616C22⋊C4—264no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4C2×D5214yes—
621C22⋊C4C2×D5214yes—
622C42—264no—
623C42—264no—
624C42—264no—
625C42C2×D5212yes—
626C42C23×D1312yes—
627C13C2×#334411yescharacteristic, complemented, Sylow
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23#8816314yes—
634C23C22×D5212yes—
635C23C22×D5212yes—
636C23C22×D5211yescharacteristic
637Q8—262no—
638Q8—262no—
639Q8—262no—
640Q8—262no—
641Q8—522no—
642Q8—522no—
643Q8—1044no—
644D4—28no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—528no—
664C2×C4—522no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4—1044no—
673C2×C4—1044no—
674C2×C4C22×D5212yes—
675C2×C4C22×D5212yes—
676C2×C4C22×D5212yes—
677C2×C4C22×D5212yes—
678C2×C4C22×D5211yescharacteristic
679C2×C4C2×#612912yes—
680C2×C4#8825712yes—
681C2×C4C24×D1311yescharacteristic
682C8—22no—
683C8—22no—
684C8—22no—
685C8C2×#612914yes—
686C22—22no—
687C22—28no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—44no—
693C22#1171926012yes—
694C22C2×#8816314yes—
695C22C2×#8816312yes—
696C22#1171945612yes—
697C22C23×D5211yescharacteristic
698C4—22no—
699C4—22no—
700C4—22no—
701C4—22no—
702C4—522no—
703C4—522no—
704C4—522no—
705C4—522no—
706C4—522no—
707C4—522no—
708C4—522no—
709C4—522no—
710C4#1171926012yes—
711C4C22×#612911yescharacteristic
712C4C2×#8825711yescharacteristic
713C2—24no—
714C2—42no—
715C2#1312729314yesdirect product factor
716C2C2×#1171926011yescharacteristic
717C2C22×#8816311yescharacteristic
718C2C2×#1171945611yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#435C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
hypercenterC2×#435D13
hypocenterC13C2×#3344
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. #13127293C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718383C2semidirect
6. C2×#11718384C2semidirect
7. C2×#11718382C2semidirect
8. C2×#11718382C2semidirect
9. C2×#11718490C2semidirect
10. C2×#11718512C2semidirect
11. C2×#11718798C2semidirect
12. C2×#11718777C2semidirect
13. C2×#11718377C2semidirect
14. C2×#11718782C2semidirect
15. C22×#88057C2semidirect
50. #11718798C22semidirect
51. #11718782C22semidirect
52. #11718777C22semidirect
62. C2×#88057C22semidirect
69. #11718512C22semidirect
70. #11718490C22semidirect
71. #11718384C22semidirect
72. #11718383C22semidirect
73. #11718382C22semidirect
74. #11718382C22semidirect
75. #11718377C22semidirect
76. #11718363C22semidirect
534. C2×C13#3344semidirect
627. C13C2×#3344semidirect
715. C2#13127293direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192482
C2×#117192462
#131272932
C2×#117183632
C2×#117183832
C2×#117183842
C2×#117183822
C2×#117184902
C2×#117185122
C2×#117187982
C2×#117187772
C2×#117183772
C2×#117187822
C22×#880572
C2×C13×#4352
C2×#334413