Finite Group Databasebeta

← C2×#13127297 #16741472

Subgroups — C2×#13127297 #16741472

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×#11719340C211yesmaximal, characteristic
2C2×#11719347C211yesmaximal, characteristic
3#13127297C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718705C211yesmaximal, characteristic, complemented
6C2×#11718476C211yesmaximal, characteristic, complemented
7C2×#11718466C211yesmaximal, characteristic, complemented
8C2×#11718704C211yesmaximal, characteristic, complemented
9C2×#11718460C211yesmaximal, characteristic, complemented
10C2×#11718452C211yesmaximal, characteristic, complemented
11C2×#11718850C211yesmaximal, characteristic, complemented
12C2×#11718845C211yesmaximal, characteristic, complemented
13C2×#11718772C211yesmaximal, characteristic
14C2×#11718542C211yesmaximal, characteristic, complemented
15C22×#88057C211yesmaximal, characteristic, complemented
16C2×C13×#467C211yesmaximal, characteristic, complemented
17C22×C13×Q16C2211yescharacteristic
18C23×C8×C13C2211yescharacteristic
19C2×C13×C22⋊Q8C2211yescharacteristic
20C2×C13×C22⋊Q8C2211yescharacteristic
21C2×#88200C2211yescharacteristic
22C2×#88200C2211yescharacteristic
23C2×Q8×Dic13C2211yescharacteristic
24C2×Q8×Dic13C2211yescharacteristic
25C2×C4×C22⋊D13C2211yescharacteristic
26C22×C4⋊Dic13C2211yescharacteristic
27C22×C4⋊Dic13C2211yescharacteristic
28C22×#6094C2211yescharacteristic
29#11719347—24no—
30#11719347C2218yes—
31#11719340—24no—
32#11719340C2218yes—
33C2×#88152—21no—
34C2×#88151—21no—
35C2×#88146C2211yescharacteristic
36C2×C4⋊C4×D13C2211yescharacteristic
37C2×#88144—21no—
38C2×#88144C2211yescharacteristic
39C2×#88143—21no—
40C2×#88142C2211yescharacteristic
41C2×#88140—21no—
42C2×#88135—21no—
43C2×#88132—21no—
44C2×#88131—21no—
45C13×#467C2218yescomplemented
46C2×C13×#107C2211yescharacteristic
47C2×C13×#103C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×#88075C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88075C2211yescharacteristic
53C2×C22⋊#1055C2211yescharacteristic
54#11718850C2218yescomplemented
55#11718845C2218yescomplemented
56#11718772C2218yes—
57C2×#88060C2211yescharacteristic
58C2×#88057C2211yescharacteristic
59C2×#88057C2211yescharacteristic
60C2×#88057C2211yescharacteristic
61C2×#88057C2211yescharacteristic
62C2×#88057C2218yescomplemented
63C2×#88055C2211yescharacteristic
64C2×#88054C2211yescharacteristic
65#11718705C2218yescomplemented
66#11718704C2218yescomplemented
67C2×#88048C2211yescharacteristic
68C2×#88048C2211yescharacteristic
69C2×#88047C2211yescharacteristic
70C2×#88047C2211yescharacteristic
71#11718542C2218yescomplemented
72#11718537C2218yescomplemented
73#11718476C2218yescomplemented
74#11718466C2218yescomplemented
75#11718460C2218yescomplemented
76#11718452C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×Q8×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C22×C22⋊D13D411yescharacteristic
81C23×Dic13—21no—
82C23×Dic13—21no—
83C22×C4×D13—21no—
84C22×C4×D13C2311yescharacteristic
85C22×Dic26—21no—
86C2×C13×Q16—24no—
87C2×C13×Q16C2314yes—
88C22×C8×C13—24no—
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2314yes—
91C22×C8×C13C2311yescharacteristic
92C13×C22⋊Q8—22no—
93C13×C22⋊Q8—22no—
94C13×C22⋊Q8C2314yes—
95C13×C22⋊Q8C2314yes—
96C2×C13×C4⋊C4—21no—
97C2×C13×C4⋊C4—21no—
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C13×C22⋊C4—21no—
101C2×C13×C22⋊C4—21no—
102C2×C22⋊Dic13D411yescharacteristic
103#88200—22no—
104#88200—22no—
105#88200C2314yes—
106#88200C2314yes—
107Q8×Dic13—22no—
108Q8×Dic13—22no—
109Q8×Dic13C2314yes—
110Q8×Dic13C2314yes—
111C4×C22⋊D13D414yes—
112C4×C22⋊D13C2314yes—
113C2×#6103—21no—
114C2×#6103—21no—
115C2×#6103—21no—
116C2×#6103D411yescharacteristic
117C2×C4⋊Dic13—21no—
118C2×C4⋊Dic13—21no—
119C2×C4⋊Dic13—22no—
120C2×C4⋊Dic13—22no—
121C2×C4⋊Dic13—21no—
122C2×C4⋊Dic13—21no—
123C2×C4⋊Dic13—21no—
124C2×C4⋊Dic13C2311yescharacteristic
125C2×C4⋊Dic13C2311yescharacteristic
126C2×C4⋊Dic13C2311yescharacteristic
127C2×C4⋊Dic13C2311yescharacteristic
128C2×C4⋊Dic13C2314yes—
129C2×C4⋊Dic13C2314yes—
130C2×#6101—21no—
131C2×#6101—21no—
132C2×#6101—21no—
133C2×#6101—21no—
134C2×#6101—21no—
135C2×#6101D411yescharacteristic
136C2×C4×Dic13—21no—
137C2×C4×Dic13—21no—
138C2×C4×Dic13—21no—
139C2×C4×Dic13C2311yescharacteristic
140C22×#1055C2311yescharacteristic
141C22×#1055C2311yescharacteristic
142C2×#6094—24no—
143C2×#6094C2314yes—
144#88152—28no—
145#88151—28no—
146#88146—22no—
147#88146C2314yes—
148C4⋊C4×D13—22no—
149C4⋊C4×D13C2314yes—
150#88144—28no—
151#88144—22no—
152#88144C2314yes—
153#88143—28no—
154#88142—22no—
155#88142C2314yes—
156#88140—28no—
157#88135—28no—
158#88132—28no—
159#88131—28no—
160C13×#107C2314yes—
161C13×#103C2314yes—
162C13×#103C2314yes—
163#88075C2314yes—
164#88075C2314yes—
165#88075C2314yes—
166#88075C2314yes—
167C22⋊#1055C2314yes—
168#88060C2314yes—
169#88057C2314yes—
170#88057C2314yes—
171#88057C2314yes—
172#88057C2314yes—
173#88055C2314yes—
174#88054C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88047C2314yes—
178#88047C2314yes—
179C2×#3344—131nomaximal, Sylow
180C24×C13C2×D411yescharacteristic
181C23×D13C2×D411yescharacteristic
182C2×Q8×C13—21no—
183C2×Q8×C13—21no—
184C2×Q8×C13—22no—
185C2×Q8×C13—22no—
186C2×Q8×C13—22no—
187C2×Q8×C13—22no—
188C2×Q8×C13C2412yes—
189C2×Q8×C13C2412yes—
190C22×C4×C13—22no—
191C22×C4×C13—22no—
192C22×C4×C13—21no—
193C22×C4×C13—21no—
194C22×C4×C13—21no—
195C22×C4×C13—21no—
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2×D412yes—
198C22×C4×C13C2412yes—
199C22×C4×C13C2411yescharacteristic
200C2×C22⋊D13—24no—
201C2×C22⋊D13C2×D414yes—
202C22×Dic13—24no—
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—21no—
207C22×Dic13—24no—
208C22×Dic13—44no—
209C22×Dic13—82no—
210C22×Dic13C2×D411yescharacteristic
211C22×Dic13C2×D411yescharacteristic
212C22×Dic13C2×D411yescharacteristic
213C2×C4×D13—22no—
214C2×C4×D13—22no—
215C2×C4×D13—24no—
216C2×C4×D13—82no—
217C2×C4×D13C2×D412yes—
218C2×C4×D13C2412yes—
219C2×Dic26—24no—
220C2×Dic26—82no—
221C13×Q16—28no—
222C2×C8×C13—22no—
223C2×C8×C13—28no—
224C2×C8×C13#4114yes—
225C2×C8×C13C2412yes—
226C2×C8×C13C2412yes—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—24no—
229C13×C4⋊C4—21no—
230C13×C4⋊C4—24no—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C22⋊C4—24no—
234C13×C22⋊C4—24no—
235C22⋊Dic13C2×D414yes—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239#6103C2×D414yes—
240C4⋊Dic13—21no—
241C4⋊Dic13—24no—
242C4⋊Dic13—24no—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—21no—
246C4⋊Dic13—24no—
247C4⋊Dic13—24no—
248C4⋊Dic13—24no—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251C4⋊Dic13C2412yes—
252C4⋊Dic13C2412yes—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
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—
268#6094—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×#467D1311yescharacteristic, complemented
281C2×#441—131no—
282C2×#435—131no—
283C2×#428—131no—
284C22×#106—131no—
285C23×C13—22no—
286C23×C13—22no—
287C23×C13#13714yes—
288C23×C13C22×D412yes—
289C23×C13C22×D411yescharacteristic
290C22×D13—22no—
291C22×D13—22no—
292C22×D13—22no—
293C22×D13C22×D412yes—
294Q8×C13—22no—
295Q8×C13—22no—
296Q8×C13—22no—
297Q8×C13—22no—
298Q8×C13—42no—
299Q8×C13—42no—
300C2×C4×C13—22no—
301C2×C4×C13—24no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—22no—
307C2×C4×C13—22no—
308C2×C4×C13—42no—
309C2×C4×C13—42no—
310C2×C4×C13—42no—
311C2×C4×C13—42no—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D411yescharacteristic
314C2×C4×C13C2×#4112yes—
315C2×C4×C132−1+412yes—
316C2×C4×C13C2511yescharacteristic
317C22⋊D13—28no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—22no—
324C2×Dic13—22no—
325C2×Dic13—48no—
326C2×Dic13—42no—
327C2×Dic13—42no—
328C2×Dic13—42no—
329C2×Dic13—42no—
330C2×Dic13—84no—
331C2×Dic13C22×D412yes—
332C2×Dic13C22×D412yes—
333C2×Dic13C22×D412yes—
334C4×D13—24no—
335C4×D13—22no—
336C4×D13—22no—
337C4×D13—84no—
338Dic26—84no—
339C8×C13—22no—
340C8×C13C2×#4114yes—
341#1055—22no—
342#1055—22no—
343C22×Q16C2×D1311yescharacteristic
344C22×M16—131no—
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—261no—
359C2×C22⋊Q8—261no—
360C2×C22⋊Q8C2×D1311yescharacteristic
361C2×C22⋊Q8C2×D1311yescharacteristic
362C2×C4×Q8—131no—
363C2×C4×Q8—131no—
364C2×C4×D4—131no—
365C2×C4×D4—261no—
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#467C2×D1318yescomplemented
380#441—138no—
381#435—138no—
382#428—138no—
383C2×#107—131no—
384C2×#107—131no—
385C2×#107C2×D1311yescharacteristic
386C2×#106—131no—
387C2×#106—131no—
388C2×#106—138no—
389C2×#106—131no—
390C2×#106—131no—
391C2×#106—131no—
392C2×#106—131no—
393C2×C4⋊C8—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#103C2×D1311yescharacteristic
399C2×#103C2×D1311yescharacteristic
400C2×C22⋊C8—131no—
401C2×C22⋊C8—131no—
402C2×#97—131no—
403C22×C13—28no—
404C22×C13—22no—
405C22×C13—22no—
406C22×C13#54712yes—
407C22×C13C2×#13714yes—
408C22×C13C2×#13712yes—
409C22×C13#57712yes—
410C22×C13C23×D411yescharacteristic
411C2×D13—22no—
412C2×D13—22no—
413C2×D13—22no—
414C2×D13—44no—
415C4×C13—22no—
416C4×C13—42no—
417C4×C13—42no—
418C4×C13—42no—
419C4×C13—42no—
420C4×C13#54712yes—
421C4×C13C22×#4111yescharacteristic
422C4×C13C2×2−1+411yescharacteristic
423Dic13—22no—
424Dic13—22no—
425Dic13—22no—
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13—42no—
430C22×Q8—261no—
431C22×Q8C22×D1311yescharacteristic
432C22×Q8C22×D1311yescharacteristic
433C22×D4—131no—
434C23×C4—131no—
435C23×C4—261no—
436C23×C4—261no—
437C23×C4—261no—
438C23×C4C22×D1311yescharacteristic
439C2×Q16—24no—
440C2×Q16C22×D1314yes—
441C2×M16—134no—
442C2×M16—264no—
443C22×C8—24no—
444C22×C8—131no—
445C22×C8—131no—
446C22×C8C22×D1311yescharacteristic
447C22×C8C22×D1314yes—
448C22×C8C22×D1311yescharacteristic
449C4⋊Q8—134no—
450C4⋊Q8—262no—
451#126—268no—
452#125—134no—
453#125—262no—
454#125—268no—
455#125—268no—
456#123—268no—
457C22⋊Q8—22no—
458C22⋊Q8—22no—
459C22⋊Q8—134no—
460C22⋊Q8—134no—
461C22⋊Q8—268no—
462C22⋊Q8—268no—
463C22⋊Q8—262no—
464C22⋊Q8—262no—
465C22⋊Q8C22×D1314yes—
466C22⋊Q8C22×D1314yes—
467C4×Q8—134no—
468C4×Q8—134no—
469C4×Q8—262no—
470C4×Q8—262no—
471C4×D4—134no—
472C4×D4—134no—
473C4×D4—268no—
474#117—134no—
475#117—268no—
476#117—262no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—131no—
483C2×C4⋊C4—131no—
484C2×C4⋊C4—134no—
485C2×C4⋊C4—134no—
486C2×C4⋊C4—134no—
487C2×C4⋊C4—262no—
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—262no—
499C2×C4⋊C4—262no—
500C2×C4⋊C4C22×D1311yescharacteristic
501C2×C4⋊C4C22×D1311yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4—131no—
505C2×C22⋊C4—131no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C22⋊C4—261no—
509C2×C42—131no—
510C2×C42—261no—
511C2×C42—261no—
512C2×C42—261no—
513#107—134no—
514#107—134no—
515#107C22×D1314yes—
516#106—134no—
517#106—134no—
518#106—134no—
519#106—134no—
520#106—134no—
521#106—134no—
522C4⋊C8—134no—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#103C22×D1314yes—
528#103C22×D1314yes—
529C22⋊C8—134no—
530C22⋊C8—134no—
531#97—134no—
532C2×C13—24no—
533C2×C13#334414yescomplemented
534C2×C13C2×#54711yescharacteristic
535C2×C13C22×#13711yescharacteristic
536C2×C13C2×#57711yescharacteristic
537D13—42no—
538C24—131no—
539C24D4×D1311yescharacteristic
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—22no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—264no—
547C2×Q8—1042no—
548C2×Q8C23×D1312yes—
549C2×Q8C23×D1312yes—
550C2×D4—134no—
551C2×D4—264no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—131no—
559C22×C4—131no—
560C22×C4—131no—
561C22×C4—132no—
562C22×C4—132no—
563C22×C4—264no—
564C22×C4—262no—
565C22×C4—262no—
566C22×C4—264no—
567C22×C4—261no—
568C22×C4—261no—
569C22×C4—261no—
570C22×C4—261no—
571C22×C4—264no—
572C22×C4—524no—
573C22×C4—1042no—
574C22×C4—1042no—
575C22×C4D4×D1312yes—
576C22×C4D4×D1311yescharacteristic
577C22×C4C23×D1312yes—
578C22×C4C23×D1311yescharacteristic
579Q16—28no—
580M16—268no—
581C2×C8—22no—
582C2×C8—28no—
583C2×C8—132no—
584C2×C8—132no—
585C2×C8—262no—
586C2×C8—262no—
587C2×C8#612914yes—
588C2×C8C23×D1312yes—
589C2×C8C23×D1312yes—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—134no—
595C4⋊C4—132no—
596C4⋊C4—132no—
597C4⋊C4—132no—
598C4⋊C4—132no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—261no—
608C4⋊C4—261no—
609C4⋊C4—264no—
610C4⋊C4—261no—
611C4⋊C4—261no—
612C4⋊C4—264no—
613C4⋊C4C23×D1312yes—
614C4⋊C4C23×D1312yes—
615C22⋊C4—24no—
616C22⋊C4—24no—
617C22⋊C4—134no—
618C22⋊C4—134no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C22⋊C4—264no—
622C42—132no—
623C42—132no—
624C42—264no—
625C42—264no—
626C42—264no—
627C13C2×#334411yescharacteristic, complemented, Sylow
628C23—22no—
629C23—22no—
630C23—132no—
631C23—262no—
632C23—262no—
633C23—262no—
634C23#8817214yes—
635C23C2×D4×D1312yes—
636C23C2×D4×D1311yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—22no—
640Q8—22no—
641Q8—42no—
642Q8—42no—
643Q8—1044no—
644D4—268no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—132no—
658C2×C4—132no—
659C2×C4—132no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—264no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—262no—
670C2×C4—528no—
671C2×C4—522no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—522no—
675C2×C4—1044no—
676C2×C4—1044no—
677C2×C4C2×D4×D1312yes—
678C2×C4C2×D4×D1311yescharacteristic
679C2×C4C2×#612912yes—
680C2×C4#8825712yes—
681C2×C4C24×D1311yescharacteristic
682C8—22no—
683C8—262no—
684C8—262no—
685C8C2×#612914yes—
686C22—22no—
687C22—22no—
688C22—28no—
689C22—262no—
690C22—262no—
691C22—262no—
692C22—524no—
693C22#1171931612yes—
694C22C2×#8817214yes—
695C22C2×#8817212yes—
696C22#1171947512yes—
697C22C22×D4×D1311yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—262no—
704C4—262no—
705C4—262no—
706C4—522no—
707C4—522no—
708C4—522no—
709C4—522no—
710C4#1171931612yes—
711C4C22×#612911yescharacteristic
712C4C2×#8825711yescharacteristic
713C2—24no—
714C2—522no—
715C2#1312729714yesdirect product factor
716C2C2×#1171931611yescharacteristic
717C2C22×#8817211yescharacteristic
718C2C2×#1171947511yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#467C2
socleC23×C13C22×D4
prime radicalC22×C22⋊D13D4
hypercenterC2×#467D13
hypocenterC13C2×#3344
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#467

Complements

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

NH ≅ G/Ntype
3. #13127297C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718705C2semidirect
6. C2×#11718476C2semidirect
7. C2×#11718466C2semidirect
8. C2×#11718704C2semidirect
9. C2×#11718460C2semidirect
10. C2×#11718452C2semidirect
11. C2×#11718850C2semidirect
12. C2×#11718845C2semidirect
14. C2×#11718542C2semidirect
15. C22×#88057C2semidirect
16. C2×C13×#467C2semidirect
45. C13×#467C22semidirect
54. #11718850C22semidirect
55. #11718845C22semidirect
62. C2×#88057C22semidirect
65. #11718705C22semidirect
66. #11718704C22semidirect
71. #11718542C22semidirect
72. #11718537C22semidirect
73. #11718476C22semidirect
74. #11718466C22semidirect
75. #11718460C22semidirect
76. #11718452C22semidirect
280. C2×#467D13semidirect
379. #467C2×D13semidirect
533. C2×C13#3344semidirect
627. C13C2×#3344semidirect
715. C2#13127297direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117193402
C2×#117193472
#131272972
C2×#117185372
C2×#117187052
C2×#117184762
C2×#117184662
C2×#117187042
C2×#117184602
C2×#117184522
C2×#117188502
C2×#117188452
C2×#117187722
C2×#117185422
C22×#880572
C2×C13×#4672
C2×#334413