Finite Group Databasebeta

← C2×#13127598 #16742694

Subgroups — C2×#13127598 #16742694

Order 3328.

1874 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719272C211yesmaximal, characteristic, complemented
2#13127598C2116yesmaximal, direct product factor
3C2×#11718732C211yesmaximal, characteristic
4C2×#11718716C211yesmaximal, characteristic, complemented
5C2×#11718717C211yesmaximal, characteristic, complemented
6C2×#11718683C211yesmaximal, characteristic, complemented
7C2×#11718670C211yesmaximal, characteristic, complemented
8C2×#11718669C211yesmaximal, characteristic, complemented
9C2×#11718715C211yesmaximal, characteristic, complemented
10C2×#11718715C211yesmaximal, characteristic, complemented
11C2×#11718736C211yesmaximal, characteristic
12C2×#11718685C211yesmaximal, characteristic, complemented
13C2×#11718691C211yesmaximal, characteristic, complemented
14C2×#11718679C211yesmaximal, characteristic, complemented
15C2×C4×#6105C211yesmaximal, characteristic, complemented
16C2×C13×#559C211yesmaximal, characteristic
17C13×#559—24no—
18C13×#559C2218yes—
19C2×C13×#127C2211yescharacteristic
20C2×C13×#124—21no—
21C2×C13×#124C2211yescharacteristic
22C2×C13×#124C2211yescharacteristic
23C2×C13×#123—21no—
24C2×C13×#123—21no—
25C2×C4×Q8×C13C2211yescharacteristic
26C2×C4×Q8×C13C2211yescharacteristic
27C2×C4×D4×C13—21no—
28C2×C4×D4×C13C2211yescharacteristic
29C2×C4×D4×C13C2211yescharacteristic
30C2×#88198—21no—
31C22×#6107C2211yescharacteristic
32C22×#6105C2211yescharacteristic
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×#88072C2211yescharacteristic
49C2×#88072C2211yescharacteristic
50C2×#88072C2211yescharacteristic
51C2×#88072C2211yescharacteristic
52C2×#88072C2211yescharacteristic
53C2×#88072C2211yescharacteristic
54#11718736C2218yes—
55#11718732C2218yes—
56#11718717C2218yescomplemented
57#11718716C2218yescomplemented
58#11718715C2218yescomplemented
59#11718715C2218yescomplemented
60#11718691C2218yescomplemented
61#11718685C2218yescomplemented
62#11718683C2218yescomplemented
63#11718679C2218yescomplemented
64C4×#6105C2218yescomplemented
65#11718670C2218yescomplemented
66#11718669C2218yescomplemented
67C2×#88050C2211yescharacteristic
68C2×#88048C2211yescharacteristic
69C2×#88048C2211yescharacteristic
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×D4×C13—21no—
80C22×D4×C13—21no—
81C22×D4×C13C2311yescharacteristic
82C22×D4×C13C2311yescharacteristic
83C23×C4×C13—21no—
84C23×C4×C13—21no—
85C22×Dic26—21no—
86C22×Dic26C2311yescharacteristic
87C13×#127—22no—
88C13×#127C2314yes—
89C13×#124—28no—
90C13×#124—22no—
91C13×#124—22no—
92C13×#124C2314yes—
93C13×#124C2314yes—
94C13×#123—28no—
95C13×#123—28no—
96C4×Q8×C13—22no—
97C4×Q8×C13D414yes—
98C4×Q8×C13C2314yes—
99C4×Q8×C13C2314yes—
100C4×D4×C13—28no—
101C4×D4×C13—22no—
102C4×D4×C13—22no—
103C4×D4×C13C2314yes—
104C4×D4×C13C2314yes—
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×C13×C22⋊C4—21no—
116C2×C42×C13—21no—
117C2×C42×C13C2311yescharacteristic
118C2×C42×C13C2311yescharacteristic
119C2×C42×C13C2311yescharacteristic
120#88198—28no—
121C2×#6107—24no—
122C2×#6107C2314yes—
123C2×#6105—24no—
124C2×#6105—24no—
125C2×#6105C2314yes—
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#88072C2314yes—
164#88072C2314yes—
165#88072C2314yes—
166#88072C2314yes—
167#88072C2314yes—
168#88072C2314yes—
169#88050C2314yes—
170#88048C2314yes—
171#88048C2314yes—
172#88047C2314yes—
173C4⋊#1055C2314yes—
174C4⋊#1055C2314yes—
175C4⋊#1055C2314yes—
176#88043C2314yes—
177#88043C2314yes—
178C4×#1055C2314yes—
179C2×#3371—131nomaximal, Sylow
180C24×C13—21no—
181C24×C13—21no—
182C2×Q8×C13—21no—
183C2×Q8×C13—22no—
184C2×Q8×C13—22no—
185C2×Q8×C13—42no—
186C2×Q8×C13C2×D414yes—
187C2×Q8×C13C2412yes—
188C2×D4×C13—21no—
189C2×D4×C13—21no—
190C2×D4×C13—24no—
191C2×D4×C13—24no—
192C2×D4×C13—22no—
193C2×D4×C13—22no—
194C2×D4×C13—22no—
195C2×D4×C13—22no—
196C2×D4×C13—44no—
197C2×D4×C13—82no—
198C2×D4×C13C2412yes—
199C2×D4×C13C2412yes—
200C22×C4×C13—21no—
201C22×C4×C13—21no—
202C22×C4×C13—24no—
203C22×C4×C13—24no—
204C22×C4×C13—82no—
205C22×C4×C13—82no—
206C22×C4×C13C2×D411yescharacteristic
207C22×C4×C13C2×D411yescharacteristic
208C22×C4×C13C2×D411yescharacteristic
209C22×C4×C13C2×D411yescharacteristic
210C22×C4×C13C2×D411yescharacteristic
211C22×C4×C13C2×D411yescharacteristic
212C22×C4×C13C2411yescharacteristic
213C22×Dic13—21no—
214C22×Dic13—21no—
215C22×Dic13—21no—
216C22×Dic13—21no—
217C2×Dic26—21no—
218C2×Dic26—22no—
219C2×Dic26—24no—
220C2×Dic26—44no—
221C2×Dic26#4114yes—
222C2×Dic26C2412yes—
223C13×C4⋊C4—24no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4C2×D414yes—
226C13×C4⋊C4C2×D414yes—
227C13×C4⋊C4C2×D414yes—
228C13×C4⋊C4C2412yes—
229C13×C22⋊C4—24no—
230C13×C22⋊C4—24no—
231C13×C22⋊C4—24no—
232C13×C22⋊C4—24no—
233C13×C22⋊C4—24no—
234C13×C22⋊C4—24no—
235C42×C13—24no—
236C42×C13C2×D412yes—
237C42×C13C2×D412yes—
238C42×C13C2×D412yes—
239C42×C13C2412yes—
240C42×C13C2412yes—
241C42×C13C2412yes—
242#6107—28no—
243#6105—28no—
244#6105—28no—
245C4⋊Dic13—21no—
246C4⋊Dic13—21no—
247C4⋊Dic13—21no—
248C4⋊Dic13—24no—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251C4⋊Dic13C2412yes—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C2×#1055—22no—
263C2×#1055—22no—
264C2×#1055—22no—
265C2×#1055—22no—
266C2×#1055C2412yes—
267C2×#1055C2412yes—
268C2×#1055C2412yes—
269C2×#1055C2412yes—
270C2×#559D1311yescharacteristic
271C2×#557—131no—
272#3371—1316no—
273C2×#490—131no—
274C2×#489—131no—
275C2×#488—131no—
276C2×#479—131no—
277C2×#478—131no—
278C2×#476—131no—
279C2×#464—131no—
280C2×#464—131no—
281C2×#460—131no—
282C2×#446—131no—
283C2×#441—131no—
284C2×#440—131no—
285C2×C4×SD16—131no—
286C23×C13—22no—
287C23×C13—22no—
288C23×C13—42no—
289C23×C13—42no—
290C23×C13—42no—
291C23×C13—42no—
292C23×C13—42no—
293C23×C13—42no—
294C23×C13C22×D411yescharacteristic
295Q8×C13—22no—
296Q8×C13—22no—
297Q8×C13—44no—
298Q8×C13—42no—
299D4×C13—22no—
300D4×C13—22no—
301D4×C13—22no—
302D4×C13—22no—
303D4×C13—48no—
304D4×C13—42no—
305D4×C13—42no—
306D4×C13—84no—
307C2×C4×C13—22no—
308C2×C4×C13—22no—
309C2×C4×C13—22no—
310C2×C4×C13—22no—
311C2×C4×C13—22no—
312C2×C4×C13—22no—
313C2×C4×C13—22no—
314C2×C4×C13—22no—
315C2×C4×C13—42no—
316C2×C4×C13—42no—
317C2×C4×C13—84no—
318C2×C4×C13—84no—
319C2×C4×C13C22×D412yes—
320C2×C4×C13C22×D412yes—
321C2×C4×C13C22×D412yes—
322C2×C4×C13C22×D412yes—
323C2×C4×C13C22×D412yes—
324C2×C4×C13C22×D412yes—
325C2×C4×C13C22×D411yescharacteristic
326C2×C4×C13C2×#4112yes—
327C2×C4×C132−1+412yes—
328C2×C4×C13C2511yescharacteristic
329C2×Dic13—24no—
330C2×Dic13—22no—
331C2×Dic13—22no—
332C2×Dic13—22no—
333C2×Dic13—22no—
334C2×Dic13—42no—
335C2×Dic13—42no—
336C2×Dic13—42no—
337Dic26—24no—
338Dic26—22no—
339Dic26—48no—
340Dic26C2×#4114yes—
341#1055—22no—
342#1055—22no—
343#1055—22no—
344#1055—22no—
345C22×Q16—131no—
346C22×SD16—131no—
347C22×SD16—131no—
348#559—24no—
349#559C2×D1318yes—
350#557—138no—
351#557—264no—
352C2×C4⋊Q8—131no—
353C2×C4⋊Q8—261no—
354C2×#127C2×D1311yescharacteristic
355C2×#125—131no—
356C2×#125—131no—
357C2×#125—261no—
358C2×#125—261no—
359C2×#124—21no—
360C2×#124C2×D1311yescharacteristic
361C2×#124C2×D1311yescharacteristic
362C2×#123—21no—
363C2×#123—21no—
364C2×C4×Q8—131no—
365C2×C4×Q8—131no—
366C2×C4×Q8—131no—
367C2×C4×Q8—261no—
368C2×C4×Q8C2×D1311yescharacteristic
369C2×C4×Q8C2×D1311yescharacteristic
370C2×C4×D4—21no—
371C2×C4×D4C2×D1311yescharacteristic
372C2×C4×D4C2×D1311yescharacteristic
373#490—138no—
374#489—138no—
375#488—138no—
376#479—138no—
377#478—138no—
378#476—138no—
379#464—138no—
380#464—138no—
381#460—138no—
382#446—138no—
383#441—138no—
384#440—138no—
385C4×SD16—138no—
386C2×#107—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×C4⋊C8—131no—
390C2×C4⋊C8—131no—
391C2×C4⋊C8—131no—
392C2×#103—131no—
393C2×#103—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#102—131no—
397C2×#102—131no—
398C2×#102—131no—
399C2×#102—131no—
400C2×#102—131no—
401C2×#102—131no—
402C2×#97—131no—
403C2×#97—131no—
404C2×C4×C8—131no—
405C22×C13—42no—
406C22×C13—42no—
407C22×C13—42no—
408C22×C13—42no—
409C22×C13—42no—
410C22×C13—42no—
411C22×C13—84no—
412C22×C13—84no—
413C22×C13#54812yes—
414C22×C13#57512yes—
415C22×C13#57712yes—
416C22×C13C23×D411yescharacteristic
417C4×C13—22no—
418C4×C13—22no—
419C4×C13—22no—
420C4×C13—22no—
421C4×C13—22no—
422C4×C13—22no—
423C4×C13—42no—
424C4×C13—42no—
425C4×C13#54812yes—
426C4×C13C22×#4111yescharacteristic
427C4×C13C2×2−1+411yescharacteristic
428Dic13—24no—
429Dic13—42no—
430Dic13—42no—
431Dic13—42no—
432C22×Q8—131no—
433C22×Q8—261no—
434C22×Q8C22⋊D1311yescharacteristic
435C22×Q8C22×D1311yescharacteristic
436C22×D4—21no—
437C22×D4—21no—
438C22×D4C22×D1311yescharacteristic
439C22×D4C22×D1311yescharacteristic
440C23×C4—21no—
441C23×C4—21no—
442C2×Q16—134no—
443C2×Q16—264no—
444C2×SD16—134no—
445C2×SD16—134no—
446C2×SD16—264no—
447C2×SD16—264no—
448C22×C8—131no—
449C22×C8—131no—
450C22×C8—131no—
451C22×C8—131no—
452C4⋊Q8—134no—
453C4⋊Q8—268no—
454C4⋊Q8—262no—
455#127—22no—
456#127C22×D1314yes—
457#125—134no—
458#125—134no—
459#125—268no—
460#125—268no—
461#125—262no—
462#125—262no—
463#124—28no—
464#124—22no—
465#124—22no—
466#124C22×D1314yes—
467#124C22×D1314yes—
468#123—28no—
469#123—28no—
470C4×Q8—22no—
471C4×Q8—134no—
472C4×Q8—134no—
473C4×Q8—134no—
474C4×Q8—268no—
475C4×Q8—262no—
476C4×Q8—262no—
477C4×Q8—262no—
478C4×Q8C22⋊D1314yes—
479C4×Q8C22×D1314yes—
480C4×Q8C22×D1314yes—
481C4×D4—28no—
482C4×D4—22no—
483C4×D4—22no—
484C4×D4C22×D1314yes—
485C4×D4C22×D1314yes—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—131no—
488C2×C4⋊C4—131no—
489C2×C4⋊C4—131no—
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⋊C4C22⋊D1311yescharacteristic
499C2×C4⋊C4C22⋊D1311yescharacteristic
500C2×C4⋊C4C22⋊D1311yescharacteristic
501C2×C4⋊C4C22×D1311yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4—21no—
505C2×C22⋊C4—21no—
506C2×C22⋊C4—21no—
507C2×C22⋊C4—21no—
508C2×C42—21no—
509C2×C42—261no—
510C2×C42—261no—
511C2×C42—261no—
512C2×C42C22×D1311yescharacteristic
513C2×C42C22×D1311yescharacteristic
514C2×C42C22×D1311yescharacteristic
515#107—134no—
516#106—134no—
517#106—134no—
518C4⋊C8—134no—
519C4⋊C8—134no—
520C4⋊C8—134no—
521#103—134no—
522#103—134no—
523#103—134no—
524#103—134no—
525#102—134no—
526#102—134no—
527#102—134no—
528#102—134no—
529#102—134no—
530#102—134no—
531#97—134no—
532#97—134no—
533C4×C8—134no—
534C2×C13—82no—
535C2×C13—82no—
536C2×C13#337114yescomplemented
537C2×C13C2×#54811yescharacteristic
538C2×C13C2×#57511yescharacteristic
539C2×C13C2×#57711yescharacteristic
540C24—21no—
541C24—21no—
542C2×Q8—21no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8—42no—
546C2×Q8—134no—
547C2×Q8—132no—
548C2×Q8—262no—
549C2×Q8—261no—
550C2×Q8—264no—
551C2×Q8—524no—
552C2×Q8C2×C22⋊D1314yes—
553C2×Q8C23×D1312yes—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—24no—
561C2×D4—24no—
562C2×D4—44no—
563C2×D4—82no—
564C2×D4C23×D1312yes—
565C2×D4C23×D1312yes—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—24no—
569C22×C4—24no—
570C22×C4—82no—
571C22×C4—82no—
572C22×C4—261no—
573C22×C4—261no—
574C22×C4—261no—
575C22×C4—261no—
576C22×C4C2×C22⋊D1311yescharacteristic
577C22×C4C2×C22⋊D1311yescharacteristic
578C22×C4C2×C22⋊D1311yescharacteristic
579C22×C4C2×C22⋊D1311yescharacteristic
580C22×C4C2×C22⋊D1311yescharacteristic
581C22×C4C2×C22⋊D1311yescharacteristic
582C22×C4C23×D1311yescharacteristic
583Q16—268no—
584SD16—268no—
585SD16—268no—
586C2×C8—132no—
587C2×C8—132no—
588C2×C8—132no—
589C2×C8—132no—
590C2×C8—262no—
591C2×C8—262no—
592C2×C8—262no—
593C2×C8—262no—
594C4⋊C4—24no—
595C4⋊C4—21no—
596C4⋊C4—132no—
597C4⋊C4—132no—
598C4⋊C4—132no—
599C4⋊C4—261no—
600C4⋊C4—261no—
601C4⋊C4—261no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4—264no—
609C4⋊C4—264no—
610C4⋊C4C2×C22⋊D1314yes—
611C4⋊C4C2×C22⋊D1314yes—
612C4⋊C4C2×C22⋊D1314yes—
613C4⋊C4C23×D1312yes—
614C22⋊C4—24no—
615C22⋊C4—24no—
616C22⋊C4—24no—
617C22⋊C4—24no—
618C22⋊C4—24no—
619C22⋊C4—24no—
620C42—24no—
621C42—264no—
622C42—264no—
623C42—264no—
624C42C2×C22⋊D1312yes—
625C42C2×C22⋊D1312yes—
626C42C2×C22⋊D1312yes—
627C42C23×D1312yes—
628C42C23×D1312yes—
629C42C23×D1312yes—
630C13C2×#337111yescharacteristic, complemented, Sylow
631C23—22no—
632C23—22no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23C22×C22⋊D1311yescharacteristic
640Q8—22no—
641Q8—22no—
642Q8—44no—
643Q8—42no—
644Q8—134no—
645Q8—264no—
646Q8—262no—
647Q8—528no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—22no—
652D4—48no—
653D4—42no—
654D4—42no—
655D4—84no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—84no—
667C2×C4—84no—
668C2×C4—264no—
669C2×C4—262no—
670C2×C4—262no—
671C2×C4—262no—
672C2×C4—262no—
673C2×C4—522no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4#41×D1312yes—
677C2×C4#8825712yes—
678C2×C4C22×C22⋊D1312yes—
679C2×C4C22×C22⋊D1312yes—
680C2×C4C22×C22⋊D1312yes—
681C2×C4C22×C22⋊D1312yes—
682C2×C4C22×C22⋊D1312yes—
683C2×C4C22×C22⋊D1312yes—
684C2×C4C22×C22⋊D1311yescharacteristic
685C2×C4C24×D1311yescharacteristic
686C8—262no—
687C8—262no—
688C8—262no—
689C8—262no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—84no—
697C22—84no—
698C22#1171952712yes—
699C22#1171953612yes—
700C22#1171954112yes—
701C22C23×C22⋊D1311yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—42no—
709C4—42no—
710C4—264no—
711C4—522no—
712C4—522no—
713C4—522no—
714C4#1171953612yes—
715C4C2×#41×D1311yescharacteristic
716C4C2×#8825711yescharacteristic
717C2—82no—
718C2—82no—
719C2#1312759814yesdirect product factor
720C2C2×#1171953611yescharacteristic
721C2C2×#1171952711yescharacteristic
722C2C2×#1171954111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#559C2
socleC23×C13C22×D4
prime radicalC2×C13×#127C22
hypercenterC2×#559D13
hypocenterC13C2×#3371
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#559

Complements

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

NH ≅ G/Ntype
1. C2×#11719272C2semidirect
2. #13127598C2direct (N × H)
4. C2×#11718716C2semidirect
5. C2×#11718717C2semidirect
6. C2×#11718683C2semidirect
7. C2×#11718670C2semidirect
8. C2×#11718669C2semidirect
9. C2×#11718715C2semidirect
10. C2×#11718715C2semidirect
12. C2×#11718685C2semidirect
13. C2×#11718691C2semidirect
14. C2×#11718679C2semidirect
15. C2×C4×#6105C2semidirect
35. #11719272C22semidirect
56. #11718717C22semidirect
57. #11718716C22semidirect
58. #11718715C22semidirect
59. #11718715C22semidirect
60. #11718691C22semidirect
61. #11718685C22semidirect
62. #11718683C22semidirect
63. #11718679C22semidirect
64. C4×#6105C22semidirect
65. #11718670C22semidirect
66. #11718669C22semidirect
536. C2×C13#3371semidirect
630. C13C2×#3371semidirect
719. C2#13127598direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192722
#131275982
C2×#117187322
C2×#117187162
C2×#117187172
C2×#117186832
C2×#117186702
C2×#117186692
C2×#117187152
C2×#117187362
C2×#117186852
C2×#117186912
C2×#117186792
C2×C4×#61052
C2×C13×#5592
C2×#337113