Finite Group Databasebeta

← C2×#13121005 #16029504

Subgroups — C2×#13121005 #16029504

Order 3328.

2286 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
1#13121005C2116yesmaximal, direct product factor
2C2×#11718319C211yesmaximal, characteristic, complemented
3C2×#11718319C211yesmaximal, characteristic, complemented
4C2×#11718609C211yesmaximal, characteristic
5C2×#11718609C211yesmaximal, characteristic
6C2×#11718317C211yesmaximal, characteristic, complemented
7C2×#11718890C211yesmaximal, characteristic, complemented
8C2×#11718608C211yesmaximal, characteristic
9C2×#11718891C211yesmaximal, characteristic, complemented
10C2×#11718307C211yesmaximal, characteristic, complemented
11C2×#11718314C211yesmaximal, characteristic, complemented
12C2×#11718313C211yesmaximal, characteristic, complemented
13C2×#11718604C211yesmaximal, characteristic
14C2×#11718603C211yesmaximal, characteristic
15C2×C22⋊C4×Dic13C211yesmaximal, characteristic
16C2×C13×#393C211yesmaximal, characteristic
17C23×Q8×C13C2211yescharacteristic
18C24×Dic13C2211yescharacteristic
19C23×Dic26C2211yescharacteristic
20C22×C13×C22⋊C4C2211yescharacteristic
21C22×C13×C22⋊C4C2211yescharacteristic
22C22×C13×C22⋊C4C2211yescharacteristic
23C22×C22⋊Dic13C2211yescharacteristic
24C22×C22⋊Dic13C2211yescharacteristic
25C22×C22⋊Dic13C2211yescharacteristic
26C22×C4⋊Dic13C2211yescharacteristic
27C22×C4⋊Dic13C2211yescharacteristic
28C22×#6101C2211yescharacteristic
29C22×#6101C2211yescharacteristic
30C22×#6101C2211yescharacteristic
31C22×#6101C2211yescharacteristic
32C22×#6101C2211yescharacteristic
33C22×#6101C2211yescharacteristic
34C22×C4×Dic13C2211yescharacteristic
35C22×C4×Dic13C2211yescharacteristic
36C13×#393C2218yes—
37C2×C13×#95C2211yescharacteristic
38C2×C13×#95C2211yescharacteristic
39C2×C13×#95C2211yescharacteristic
40#11718891C2218yescomplemented
41#11718890C2218yescomplemented
42C2×#88071C2211yescharacteristic
43C2×#88071C2211yescharacteristic
44C2×#88071C2211yescharacteristic
45C2×#88071C2211yescharacteristic
46C2×#88071C2211yescharacteristic
47C2×#88071C2211yescharacteristic
48C2×#88071C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C2×#88071C2211yescharacteristic
52C2×#88071C2211yescharacteristic
53C2×#88071C2211yescharacteristic
54C2×#88071C2211yescharacteristic
55#11718609C2218yes—
56#11718609C2218yes—
57#11718608C2218yes—
58#11718604C2218yes—
59#11718603C2218yes—
60C22⋊C4×Dic13C2218yes—
61#11718319C2218yescomplemented
62#11718319C2218yescomplemented
63#11718317C2218yescomplemented
64#11718314C2218yescomplemented
65#11718313C2218yescomplemented
66#11718307C2218yescomplemented
67C25×C13C2311yescharacteristic
68C22×Q8×C13—24no—
69C22×Q8×C13—42no—
70C22×Q8×C13—42no—
71C22×Q8×C13C2314yes—
72C23×C4×C13C2311yescharacteristic
73C23×C4×C13C2311yescharacteristic
74C23×C4×C13C2311yescharacteristic
75C23×C4×C13C2311yescharacteristic
76C23×C4×C13C2311yescharacteristic
77C23×C4×C13C2311yescharacteristic
78C23×Dic13—42no—
79C23×Dic13—42no—
80C23×Dic13Q818yescomplemented
81C23×Dic13C2311yescharacteristic
82C23×Dic13C2311yescharacteristic
83C23×Dic13C2311yescharacteristic
84C23×Dic13C2311yescharacteristic
85C23×Dic13C2311yescharacteristic
86C23×Dic13C2311yescharacteristic
87C23×Dic13C2311yescharacteristic
88C23×Dic13C2311yescharacteristic
89C23×Dic13C2314yes—
90C22×Dic26—24no—
91C22×Dic26—42no—
92C22×Dic26—42no—
93C22×Dic26C2314yes—
94C2×C13×C22⋊C4—24no—
95C2×C13×C22⋊C4—42no—
96C2×C13×C22⋊C4—42no—
97C2×C13×C22⋊C4C2314yes—
98C2×C13×C22⋊C4C2314yes—
99C2×C13×C22⋊C4C2314yes—
100C2×C22⋊Dic13—24no—
101C2×C22⋊Dic13—42no—
102C2×C22⋊Dic13—42no—
103C2×C22⋊Dic13C2314yes—
104C2×C22⋊Dic13C2314yes—
105C2×C22⋊Dic13C2314yes—
106C2×C4⋊Dic13—24no—
107C2×C4⋊Dic13—42no—
108C2×C4⋊Dic13C2314yes—
109C2×C4⋊Dic13C2314yes—
110C2×#6101—24no—
111C2×#6101—42no—
112C2×#6101—42no—
113C2×#6101—42no—
114C2×#6101—42no—
115C2×#6101—42no—
116C2×#6101C2314yes—
117C2×#6101C2314yes—
118C2×#6101C2314yes—
119C2×#6101C2314yes—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×C4×Dic13—42no—
123C2×C4×Dic13—42no—
124C2×C4×Dic13C2314yes—
125C2×C4×Dic13C2314yes—
126C13×#95C2314yes—
127C13×#95C2314yes—
128C13×#95C2314yes—
129#88071C2314yes—
130#88071C2314yes—
131#88071C2314yes—
132#88071C2314yes—
133#88071C2314yes—
134#88071C2314yes—
135#88071C2314yes—
136#88071C2314yes—
137#88071C2314yes—
138#88071C2314yes—
139#88071C2314yes—
140#88071C2314yes—
141#88071C2314yes—
142C2×#2665—131nomaximal, Sylow
143C24×C13—22no—
144C24×C13—22no—
145C24×C13—22no—
146C24×C13—22no—
147C24×C13—22no—
148C24×C13—22no—
149C24×C13C2×Q814yes—
150C24×C13C2412yes—
151C24×C13C2411yescharacteristic
152C2×Q8×C13—28no—
153C2×Q8×C13—44no—
154C2×Q8×C13—44no—
155C2×Q8×C13—416no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—22no—
164C22×C4×C13—22no—
165C22×C4×C13—22no—
166C22×C4×C13—22no—
167C22×C4×C13—22no—
168C22×C4×C13—22no—
169C22×C4×C13—22no—
170C22×C4×C13—22no—
171C22×C4×C13—22no—
172C22×C4×C13—22no—
173C22×C4×C13#4114yes—
174C22×C4×C13C2412yes—
175C22×C4×C13C2412yes—
176C22×C4×C13C2412yes—
177C22×C4×C13C2412yes—
178C22×C4×C13C2412yes—
179C22×C4×C13C2412yes—
180C22×Dic13—22no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—22no—
185C22×Dic13—22no—
186C22×Dic13—22no—
187C22×Dic13—22no—
188C22×Dic13—22no—
189C22×Dic13—22no—
190C22×Dic13—22no—
191C22×Dic13—22no—
192C22×Dic13—22no—
193C22×Dic13—22no—
194C22×Dic13—22no—
195C22×Dic13—22no—
196C22×Dic13—22no—
197C22×Dic13—22no—
198C22×Dic13—22no—
199C22×Dic13—22no—
200C22×Dic13—22no—
201C22×Dic13—416no—
202C22×Dic13—44no—
203C22×Dic13—44no—
204C22×Dic13C2×Q814yes—
205C22×Dic13C2×Q814yes—
206C22×Dic13C2×Q8116yescomplemented
207C22×Dic13#4114yes—
208C22×Dic13C2412yes—
209C22×Dic13C2412yes—
210C22×Dic13C2412yes—
211C22×Dic13C2412yes—
212C22×Dic13C2412yes—
213C22×Dic13C2412yes—
214C22×Dic13C2412yes—
215C22×Dic13C2412yes—
216C2×Dic26—28no—
217C2×Dic26—44no—
218C2×Dic26—44no—
219C2×Dic26—416no—
220C13×C22⋊C4—28no—
221C13×C22⋊C4—44no—
222C13×C22⋊C4—44no—
223C22⋊Dic13—28no—
224C22⋊Dic13—44no—
225C22⋊Dic13—44no—
226C4⋊Dic13—28no—
227C4⋊Dic13—44no—
228#6101—28no—
229#6101—44no—
230#6101—44no—
231#6101—44no—
232#6101—44no—
233#6101—44no—
234C4×Dic13—44no—
235C4×Dic13—44no—
236#2665—1316no—
237C2×#400—131no—
238C2×#400—131no—
239C2×#396—131no—
240C2×#396—131no—
241C2×#395—131no—
242C2×#395—131no—
243C2×#393—131no—
244C2×#393D1311yescharacteristic
245C2×#391—131no—
246C2×#391—131no—
247C2×#387—131no—
248C2×#387—131no—
249C2×#381—131no—
250C2×#380—131no—
251C2×C4×C22⋊C4—131no—
252C23×C13—28no—
253C23×C13—28no—
254C23×C13—28no—
255C23×C13—22no—
256C23×C13—22no—
257C23×C13—22no—
258C23×C13—22no—
259C23×C13—22no—
260C23×C13—22no—
261C23×C13—44no—
262C23×C13—44no—
263C23×C13—44no—
264C23×C13—44no—
265C23×C13C22×Q814yes—
266C23×C13C22×Q812yes—
267C23×C13C2×#4112yes—
268C23×C13C2×#4112yes—
269C23×C13H(5,𝔽2)12yes—
270C23×C13H(5,𝔽2)12yes—
271C23×C13H(5,𝔽2)12yes—
272C23×C132−1+412yes—
273C23×C13C2511yescharacteristic
274Q8×C13—416no—
275C2×C4×C13—28no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—44no—
294C2×C4×C13—44no—
295C2×C4×C13—44no—
296C2×C4×C13—44no—
297C2×C4×C13—44no—
298C2×C4×C13C2×#4114yes—
299C2×Dic13—28no—
300C2×Dic13—28no—
301C2×Dic13—28no—
302C2×Dic13—22no—
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
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—22no—
322C2×Dic13—22no—
323C2×Dic13—416no—
324C2×Dic13—44no—
325C2×Dic13—44no—
326C2×Dic13—44no—
327C2×Dic13—44no—
328C2×Dic13—44no—
329C2×Dic13C22×Q814yes—
330C2×Dic13C22×Q814yes—
331C2×Dic13C2×#4114yes—
332Dic26—416no—
333C23×Q8—131no—
334C23×Q8C2×D1311yescharacteristic
335C24×C4—131no—
336C22×C4⋊C4—131no—
337C22×C4⋊C4—131no—
338C22×C4⋊C4—131no—
339C22×C4⋊C4—131no—
340C22×C4⋊C4—131no—
341C22×C4⋊C4—131no—
342C22×C4⋊C4—131no—
343C22×C4⋊C4—131no—
344C22×C22⋊C4—131no—
345C22×C22⋊C4—131no—
346C22×C22⋊C4—131no—
347C22×C22⋊C4C2×D1311yescharacteristic
348C22×C22⋊C4C2×D1311yescharacteristic
349C22×C22⋊C4C2×D1311yescharacteristic
350C22×C42—131no—
351C22×C42—131no—
352#400—138no—
353#400—138no—
354#396—138no—
355#396—138no—
356#395—138no—
357#395—138no—
358#393—138no—
359#393C2×D1318yes—
360#391—138no—
361#391—138no—
362#387—138no—
363#387—138no—
364#381—138no—
365#380—138no—
366C4×C22⋊C4—138no—
367C2×#95—131no—
368C2×#95—131no—
369C2×#95—131no—
370C2×#95—131no—
371C2×#95—131no—
372C2×#95—131no—
373C2×#95—131no—
374C2×#95—131no—
375C2×#95—131no—
376C2×#95—131no—
377C2×#95—131no—
378C2×#95—131no—
379C2×#95—131no—
380C2×#95C2×D1311yescharacteristic
381C2×#95C2×D1311yescharacteristic
382C2×#95C2×D1311yescharacteristic
383C22×C13—24no—
384C22×C13—24no—
385C22×C13—24no—
386C22×C13—416no—
387C22×C13—42no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—42no—
391C22×C13#53314yes—
392C22×C13#53814yes—
393C22×C13#53814yes—
394C22×C13#54214yes—
395C22×C13#54214yes—
396C22×C13#54314yes—
397C22×C13#54414yes—
398C22×C13C23×Q811yescharacteristic
399C22×C13C22×#4111yescharacteristic
400C22×C13C22×#4111yescharacteristic
401C22×C13C2×H(5,𝔽2)11yescharacteristic
402C22×C13C2×H(5,𝔽2)11yescharacteristic
403C22×C13C2×H(5,𝔽2)11yescharacteristic
404C22×C13C2×2−1+411yescharacteristic
405C4×C13—24no—
406C4×C13—42no—
407C4×C13—42no—
408C4×C13—42no—
409C4×C13—42no—
410C4×C13—42no—
411Dic13—24no—
412Dic13—24no—
413Dic13—24no—
414Dic13—42no—
415Dic13—42no—
416Dic13—42no—
417Dic13—42no—
418Dic13—42no—
419C25C22×D1311yescharacteristic
420C22×Q8—24no—
421C22×Q8—42no—
422C22×Q8—42no—
423C22×Q8—134no—
424C22×Q8—264no—
425C22×Q8—522no—
426C22×Q8—522no—
427C22×Q8C22×D1314yes—
428C23×C4—131no—
429C23×C4—131no—
430C23×C4—131no—
431C23×C4—138no—
432C23×C4—134no—
433C23×C4—131no—
434C23×C4—131no—
435C23×C4—131no—
436C23×C4—131no—
437C23×C4—131no—
438C23×C4—522no—
439C23×C4—522no—
440C23×C4C22×D1311yescharacteristic
441C23×C4C22×D1311yescharacteristic
442C23×C4C22×D1311yescharacteristic
443C23×C4C22×D1311yescharacteristic
444C23×C4C22×D1311yescharacteristic
445C23×C4C22×D1311yescharacteristic
446C2×C4⋊C4—134no—
447C2×C4⋊C4—134no—
448C2×C4⋊C4—134no—
449C2×C4⋊C4—134no—
450C2×C4⋊C4—134no—
451C2×C4⋊C4—134no—
452C2×C4⋊C4—134no—
453C2×C4⋊C4—134no—
454C2×C4⋊C4—264no—
455C2×C4⋊C4—264no—
456C2×C4⋊C4—522no—
457C2×C4⋊C4—522no—
458C2×C4⋊C4—522no—
459C2×C4⋊C4—522no—
460C2×C4⋊C4—522no—
461C2×C4⋊C4—522no—
462C2×C22⋊C4—24no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—42no—
465C2×C22⋊C4—134no—
466C2×C22⋊C4—134no—
467C2×C22⋊C4—134no—
468C2×C22⋊C4—264no—
469C2×C22⋊C4—522no—
470C2×C22⋊C4—522no—
471C2×C22⋊C4C22×D1314yes—
472C2×C22⋊C4C22×D1314yes—
473C2×C22⋊C4C22×D1314yes—
474C2×C42—134no—
475C2×C42—134no—
476C2×C42—522no—
477C2×C42—522no—
478#95—134no—
479#95—134no—
480#95—134no—
481#95—134no—
482#95—134no—
483#95—134no—
484#95—134no—
485#95—134no—
486#95—134no—
487#95—134no—
488#95—134no—
489#95—134no—
490#95—134no—
491#95C22×D1314yes—
492#95C22×D1314yes—
493#95C22×D1314yes—
494C2×C13—44no—
495C2×C13#266518yescomplemented
496C2×C13C2×#53311yescharacteristic
497C2×C13C2×#53811yescharacteristic
498C2×C13C2×#53811yescharacteristic
499C2×C13C2×#54211yescharacteristic
500C2×C13C2×#54211yescharacteristic
501C2×C13C2×#54311yescharacteristic
502C2×C13C2×#54411yescharacteristic
503C24—22no—
504C24—22no—
505C24—22no—
506C24—22no—
507C24—22no—
508C24—22no—
509C24Q8×D1314yes—
510C24C23×D1312yes—
511C24C23×D1311yescharacteristic
512C2×Q8—28no—
513C2×Q8—44no—
514C2×Q8—44no—
515C2×Q8—416no—
516C2×Q8—268no—
517C2×Q8—524no—
518C2×Q8—524no—
519C2×Q8—5216no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—134no—
538C22×C4—134no—
539C22×C4—134no—
540C22×C4—132no—
541C22×C4—132no—
542C22×C4—132no—
543C22×C4—1316no—
544C22×C4—132no—
545C22×C4—132no—
546C22×C4—132no—
547C22×C4—132no—
548C22×C4—132no—
549C22×C4—262no—
550C22×C4—262no—
551C22×C4—262no—
552C22×C4—262no—
553C22×C4—262no—
554C22×C4—262no—
555C22×C4—262no—
556C22×C4—262no—
557C22×C4—262no—
558C22×C4—262no—
559C22×C4—262no—
560C22×C4—262no—
561C22×C4—262no—
562C22×C4—262no—
563C22×C4—262no—
564C22×C4—262no—
565C22×C4—262no—
566C22×C4—262no—
567C22×C4—262no—
568C22×C4—262no—
569C22×C4—262no—
570C22×C4—5216no—
571C22×C4—524no—
572C22×C4—524no—
573C22×C4#612914yes—
574C22×C4C23×D1312yes—
575C22×C4C23×D1312yes—
576C22×C4C23×D1312yes—
577C22×C4C23×D1312yes—
578C22×C4C23×D1312yes—
579C22×C4C23×D1312yes—
580C4⋊C4—268no—
581C4⋊C4—268no—
582C4⋊C4—524no—
583C4⋊C4—524no—
584C4⋊C4—524no—
585C4⋊C4—524no—
586C4⋊C4—524no—
587C4⋊C4—524no—
588C22⋊C4—28no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—268no—
592C22⋊C4—524no—
593C22⋊C4—524no—
594C42—524no—
595C42—524no—
596C13C2×#266511yescharacteristic, complemented, Sylow
597C23—28no—
598C23—28no—
599C23—28no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23C2×#612912yes—
611C23#8825112yes—
612C23#8825112yes—
613C23C2×Q8×D1314yes—
614C23C2×Q8×D1312yes—
615C23#41×D1312yes—
616C23#8825612yes—
617C23#8825712yes—
618C23C24×D1311yescharacteristic
619Q8—416no—
620Q8—5216no—
621C2×C4—28no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—134no—
645C2×C4—134no—
646C2×C4—134no—
647C2×C4—268no—
648C2×C4—268no—
649C2×C4—268no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—262no—
654C2×C4—262no—
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—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—262no—
670C2×C4—262no—
671C2×C4—5216no—
672C2×C4—524no—
673C2×C4—524no—
674C2×C4—524no—
675C2×C4—524no—
676C2×C4—524no—
677C2×C4C2×#612914yes—
678C22—24no—
679C22—24no—
680C22—24no—
681C22—42no—
682C22—42no—
683C22—416no—
684C22—42no—
685C22—42no—
686C22#1171929814yes—
687C22#1171932714yes—
688C22#1171932814yes—
689C22#1171933914yes—
690C22#1171937414yes—
691C22#1171938314yes—
692C22#1171938714yes—
693C22C22×#612911yescharacteristic
694C22C2×#8825111yescharacteristic
695C22C2×#8825111yescharacteristic
696C22C22×Q8×D1311yescharacteristic
697C22C2×#41×D1311yescharacteristic
698C22C2×#8825611yescharacteristic
699C22C2×#8825711yescharacteristic
700C4—24no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—264no—
707C4—264no—
708C4—264no—
709C4—522no—
710C4—522no—
711C4—522no—
712C4—522no—
713C4—522no—
714C2—44no—
715C2#1312100518yesdirect product factor
716C2C2×#1171932711yescharacteristic
717C2C2×#1171938311yescharacteristic
718C2C2×#1171929811yescharacteristic
719C2C2×#1171937411yescharacteristic
720C2C2×#1171938711yescharacteristic
721C2C2×#1171933911yescharacteristic
722C2C2×#1171932811yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#393C2
socleC24×C13C24
prime radicalC25×C13C23
hypercenterC2×#393D13
hypocenterC13C2×#2665
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#393

Complements

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

NH ≅ G/Ntype
1. #13121005C2direct (N × H)
2. C2×#11718319C2semidirect
3. C2×#11718319C2semidirect
6. C2×#11718317C2semidirect
7. C2×#11718890C2semidirect
9. C2×#11718891C2semidirect
10. C2×#11718307C2semidirect
11. C2×#11718314C2semidirect
12. C2×#11718313C2semidirect
40. #11718891C22semidirect
41. #11718890C22semidirect
61. #11718319C22semidirect
62. #11718319C22semidirect
63. #11718317C22semidirect
64. #11718314C22semidirect
65. #11718313C22semidirect
66. #11718307C22semidirect
80. C23×Dic13Q8semidirect
206. C22×Dic13C2×Q8semidirect
495. C2×C13#2665semidirect
596. C13C2×#2665semidirect
715. C2#13121005direct (N × H)

Maximal subgroups

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

subgroupindex
#131210052
C2×#117183192
C2×#117186092
C2×#117183172
C2×#117188902
C2×#117186082
C2×#117188912
C2×#117183072
C2×#117183142
C2×#117183132
C2×#117186042
C2×#117186032
C2×C22⋊C4×Dic132
C2×C13×#3932
C2×#266513