Finite Group Databasebeta

← C2×#13119342 #16031876

Subgroups — C2×#13119342 #16031876

Order 3328.

2486 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#13119342C2116yesmaximal, direct product factor
2C2×#11718647C211yesmaximal, characteristic, complemented
3C2×#11718647C211yesmaximal, characteristic, complemented
4C2×#11718643C211yesmaximal, characteristic, complemented
5C2×#11718645C211yesmaximal, characteristic, complemented
6C2×#11718314C211yesmaximal, characteristic, complemented
7C2×#11718594C211yesmaximal, characteristic, complemented
8C2×#11718329C211yesmaximal, characteristic
9C2×#11718650C211yesmaximal, characteristic
10C2×#11718650C211yesmaximal, characteristic
11C2×#11718650C211yesmaximal, characteristic
12C2×#11718311C211yesmaximal, characteristic, complemented
13C2×#11718648C211yesmaximal, characteristic
14C2×C4×#6103C211yesmaximal, characteristic
15C2×D13×#95C211yesmaximal, characteristic
16C2×C13×#389C211yesmaximal, characteristic, complemented
17C23×C4×D13C2211yescharacteristic
18C23×C4×D13C2211yescharacteristic
19C23×C4×D13C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×C13×C4⋊C4C2211yescharacteristic
23C22×C13×C4⋊C4C2211yescharacteristic
24C22×C42×C13C2211yescharacteristic
25C22×#6103C2211yescharacteristic
26C22×#6103C2211yescharacteristic
27C22×#6103C2211yescharacteristic
28C22×#6103C2211yescharacteristic
29C22×C4⋊Dic13C2211yescharacteristic
30C22×C4⋊Dic13C2211yescharacteristic
31C22×#6101C2211yescharacteristic
32C22×#6101C2211yescharacteristic
33C22×#6101C2211yescharacteristic
34C22×#6101C2211yescharacteristic
35C22×C4×Dic13C2211yescharacteristic
36C13×#389C2218yescomplemented
37C2×C13×#95C2211yescharacteristic
38C2×C13×#95C2211yescharacteristic
39C2×#88071C2211yescharacteristic
40C2×#88071C2211yescharacteristic
41C2×#88071C2211yescharacteristic
42C2×#88071C2211yescharacteristic
43C2×#88071C2211yescharacteristic
44C2×#88071C2211yescharacteristic
45C2×#88071C2211yescharacteristic
46C2×#88071C2211yescharacteristic
47C2×#88071C2211yescharacteristic
48C2×#88071C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C2×#88071C2211yescharacteristic
52C2×#88071C2211yescharacteristic
53#11718650C2218yes—
54#11718650C2218yes—
55#11718650C2218yes—
56#11718648C2218yes—
57#11718647C2218yescomplemented
58#11718647C2218yescomplemented
59#11718645C2218yescomplemented
60#11718643C2218yescomplemented
61C4×#6103C2218yes—
62#11718594C2218yescomplemented
63#11718329C2218yes—
64D13×#95C2218yes—
65#11718314C2218yescomplemented
66#11718311C2218yescomplemented
67C24×D13C2311yescharacteristic
68C23×C4×C13C2311yescharacteristic
69C23×C4×C13C2311yescharacteristic
70C23×C4×C13C2311yescharacteristic
71C23×C4×C13C2311yescharacteristic
72C23×C4×C13C2311yescharacteristic
73C23×C4×C13C2311yescharacteristic
74C23×C4×C13C2311yescharacteristic
75C23×Dic13C2311yescharacteristic
76C23×Dic13C2311yescharacteristic
77C23×Dic13C2311yescharacteristic
78C23×Dic13C2311yescharacteristic
79C23×Dic13C2311yescharacteristic
80C23×Dic13C2311yescharacteristic
81C23×Dic13C2311yescharacteristic
82C22×C4×D13—24no—
83C22×C4×D13—24no—
84C22×C4×D13—24no—
85C22×C4×D13—24no—
86C22×C4×D13—24no—
87C22×C4×D13—42no—
88C22×C4×D13—42no—
89C22×C4×D13—42no—
90C22×C4×D13—42no—
91C22×C4×D13C2314yes—
92C22×C4×D13C2314yes—
93C22×C4×D13C2314yes—
94C2×C13×C4⋊C4—24no—
95C2×C13×C4⋊C4—42no—
96C2×C13×C4⋊C4—42no—
97C2×C13×C4⋊C4—42no—
98C2×C13×C4⋊C4C2314yes—
99C2×C13×C4⋊C4C2314yes—
100C2×C13×C4⋊C4C2314yes—
101C2×C13×C4⋊C4C2314yes—
102C2×C42×C13—42no—
103C2×C42×C13C2314yes—
104C2×#6103—24no—
105C2×#6103—24no—
106C2×#6103—24no—
107C2×#6103Q818yes—
108C2×#6103C2314yes—
109C2×#6103C2314yes—
110C2×#6103C2314yes—
111C2×#6103C2314yes—
112C2×C4⋊Dic13—24no—
113C2×C4⋊Dic13—42no—
114C2×C4⋊Dic13C2314yes—
115C2×C4⋊Dic13C2314yes—
116C2×#6101—24no—
117C2×#6101—42no—
118C2×#6101—42no—
119C2×#6101—42no—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×#6101C2314yes—
123C2×#6101C2314yes—
124C2×C4×Dic13—24no—
125C2×C4×Dic13C2314yes—
126C13×#95C2314yes—
127C13×#95C2314yes—
128#88071C2314yes—
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×#2505—131nomaximal, Sylow
143C24×C13C2411yescharacteristic
144C23×D13—22no—
145C23×D13—22no—
146C23×D13—22no—
147C23×D13—22no—
148C23×D13C2×Q814yes—
149C23×D13#4114yes—
150C23×D13#4114yes—
151C23×D13C2412yes—
152C22×C4×C13—22no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—22no—
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×C13C2×Q814yes—
171C22×C4×C13#4114yes—
172C22×C4×C13#4114yes—
173C22×C4×C13C2412yes—
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×Dic13C2×Q814yes—
201C22×Dic13C2412yes—
202C22×Dic13C2412yes—
203C22×Dic13C2412yes—
204C22×Dic13C2412yes—
205C22×Dic13C2412yes—
206C22×Dic13C2412yes—
207C22×Dic13C2412yes—
208C2×C4×D13—28no—
209C2×C4×D13—28no—
210C2×C4×D13—28no—
211C2×C4×D13—28no—
212C2×C4×D13—28no—
213C2×C4×D13—44no—
214C2×C4×D13—44no—
215C2×C4×D13—44no—
216C2×C4×D13—44no—
217C2×C4×D13—416no—
218C2×C4×D13—416no—
219C2×C4×D13—416no—
220C13×C4⋊C4—28no—
221C13×C4⋊C4—44no—
222C13×C4⋊C4—44no—
223C13×C4⋊C4—44no—
224C42×C13—44no—
225#6103—28no—
226#6103—28no—
227#6103—28no—
228#6103C2×Q8116yes—
229C4⋊Dic13—28no—
230C4⋊Dic13—44no—
231#6101—28no—
232#6101—44no—
233#6101—44no—
234#6101—44no—
235C4×Dic13—28no—
236#2505—1316no—
237C2×#400—131no—
238C2×#400—131no—
239C2×#400—131no—
240C2×#398—131no—
241C2×#389D1311yescharacteristic, complemented
242C2×#387—131no—
243C2×#387—131no—
244C2×#385—131no—
245C2×#385—131no—
246C2×#385—131no—
247C2×#385—131no—
248C2×#382—131no—
249C2×#380—131no—
250C2×C4×C22⋊C4—131no—
251C22×#95—131no—
252C23×C13C22×Q812yes—
253C23×C13C2×#4112yes—
254C23×C13C2×#4112yes—
255C23×C13C2×#4112yes—
256C23×C13C2×#4112yes—
257C23×C13H(5,𝔽2)12yes—
258C23×C13H(5,𝔽2)12yes—
259C23×C13C2511yescharacteristic
260C22×D13—28no—
261C22×D13—28no—
262C22×D13—28no—
263C22×D13—28no—
264C22×D13—28no—
265C22×D13—28no—
266C22×D13—22no—
267C22×D13—22no—
268C22×D13—22no—
269C22×D13—22no—
270C22×D13#125116yes—
271C22×D13C22×Q814yes—
272C22×D13C2×#4114yes—
273C22×D13C2×#4114yes—
274C2×C4×C13—28no—
275C2×C4×C13—28no—
276C2×C4×C13—28no—
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—22no—
294C2×C4×C13—22no—
295C2×C4×C13—44no—
296C2×C4×C13—44no—
297C2×C4×C13—44no—
298C2×C4×C13—44no—
299C2×C4×C13C22×Q814yes—
300C2×C4×C13C2×#4114yes—
301C2×C4×C13C2×#4114yes—
302C2×Dic13—28no—
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—44no—
324C2×Dic13—44no—
325C2×Dic13—44no—
326C2×Dic13—44no—
327C2×Dic13—44no—
328C2×Dic13—44no—
329C2×Dic13C22×Q814yes—
330C4×D13—416no—
331C4×D13—416no—
332C4×D13—416no—
333C24×C4—131no—
334C24×C4—131no—
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⋊C4C2×D1311yescharacteristic
343C22×C4⋊C4C2×D1311yescharacteristic
344C22×C4⋊C4C2×D1311yescharacteristic
345C22×C4⋊C4C2×D1311yescharacteristic
346C22×C22⋊C4—131no—
347C22×C22⋊C4—131no—
348C22×C22⋊C4—131no—
349C22×C22⋊C4—131no—
350C22×C42—131no—
351C22×C42C2×D1311yescharacteristic
352#400—138no—
353#400—138no—
354#400—138no—
355#398—138no—
356#389C2×D1318yescomplemented
357#387—138no—
358#387—138no—
359#385—138no—
360#385—138no—
361#385—138no—
362#385—138no—
363#382—138no—
364#380—138no—
365C4×C22⋊C4—138no—
366C2×#95—131no—
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×#95—138no—
381C2×#95C2×D1311yescharacteristic
382C2×#95C2×D1311yescharacteristic
383C22×C13C2×#12514yes—
384C22×C13#52914yes—
385C22×C13#53814yes—
386C22×C13#55114yes—
387C22×C13#55114yes—
388C22×C13#55414yes—
389C22×C13#55414yes—
390C22×C13C23×Q811yescharacteristic
391C22×C13C22×#4111yescharacteristic
392C22×C13C22×#4111yescharacteristic
393C22×C13C22×#4111yescharacteristic
394C22×C13C22×#4111yescharacteristic
395C22×C13C2×H(5,𝔽2)11yescharacteristic
396C22×C13C2×H(5,𝔽2)11yescharacteristic
397C2×D13—24no—
398C2×D13—24no—
399C2×D13—24no—
400C2×D13—24no—
401C2×D13—24no—
402C2×D13—24no—
403C2×D13—232no—
404C2×D13C2×#12518yes—
405C4×C13—24no—
406C4×C13—24no—
407C4×C13—24no—
408C4×C13—42no—
409C4×C13—42no—
410C4×C13—42no—
411C4×C13—42no—
412Dic13—24no—
413Dic13—42no—
414Dic13—42no—
415Dic13—42no—
416Dic13—42no—
417Dic13—42no—
418Dic13—42no—
419C25—131no—
420C23×C4—131no—
421C23×C4—131no—
422C23×C4—131no—
423C23×C4—131no—
424C23×C4—131no—
425C23×C4—131no—
426C23×C4—131no—
427C23×C4—134no—
428C23×C4—134no—
429C23×C4—134no—
430C23×C4—264no—
431C23×C4—264no—
432C23×C4—264no—
433C23×C4—264no—
434C23×C4—264no—
435C23×C4—522no—
436C23×C4—522no—
437C23×C4—522no—
438C23×C4—522no—
439C23×C4C22×D1311yescharacteristic
440C23×C4C22×D1311yescharacteristic
441C23×C4C22×D1311yescharacteristic
442C23×C4C22×D1311yescharacteristic
443C23×C4C22×D1311yescharacteristic
444C23×C4C22×D1311yescharacteristic
445C23×C4C22×D1311yescharacteristic
446C2×C4⋊C4—24no—
447C2×C4⋊C4—42no—
448C2×C4⋊C4—42no—
449C2×C4⋊C4—42no—
450C2×C4⋊C4—134no—
451C2×C4⋊C4—134no—
452C2×C4⋊C4—134no—
453C2×C4⋊C4—134no—
454C2×C4⋊C4—134no—
455C2×C4⋊C4—134no—
456C2×C4⋊C4—264no—
457C2×C4⋊C4—264no—
458C2×C4⋊C4—522no—
459C2×C4⋊C4—522no—
460C2×C4⋊C4—522no—
461C2×C4⋊C4—522no—
462C2×C4⋊C4C22×D1314yes—
463C2×C4⋊C4C22×D1314yes—
464C2×C4⋊C4C22×D1314yes—
465C2×C4⋊C4C22×D1314yes—
466C2×C22⋊C4—138no—
467C2×C22⋊C4—134no—
468C2×C22⋊C4—134no—
469C2×C22⋊C4—134no—
470C2×C22⋊C4—134no—
471C2×C22⋊C4—264no—
472C2×C22⋊C4—264no—
473C2×C22⋊C4—264no—
474C2×C42—42no—
475C2×C42—134no—
476C2×C42—264no—
477C2×C42C22×D1314yes—
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#95—134no—
492#95C22×D1314yes—
493#95C22×D1314yes—
494C2×C13#250518yescomplemented
495C2×C13C22×#12511yescharacteristic
496C2×C13C2×#52911yescharacteristic
497C2×C13C2×#53811yescharacteristic
498C2×C13C2×#55111yescharacteristic
499C2×C13C2×#55111yescharacteristic
500C2×C13C2×#55411yescharacteristic
501C2×C13C2×#55411yescharacteristic
502D13—28no—
503C24—134no—
504C24—134no—
505C24—134no—
506C24—132no—
507C24—262no—
508C24—262no—
509C24—262no—
510C24—262no—
511C24C23×D1311yescharacteristic
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
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—134no—
531C22×C4—132no—
532C22×C4—132no—
533C22×C4—132no—
534C22×C4—132no—
535C22×C4—132no—
536C22×C4—132no—
537C22×C4—132no—
538C22×C4—268no—
539C22×C4—268no—
540C22×C4—268no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—262no—
544C22×C4—262no—
545C22×C4—262no—
546C22×C4—262no—
547C22×C4—262no—
548C22×C4—262no—
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—268no—
562C22×C4—268no—
563C22×C4—524no—
564C22×C4—524no—
565C22×C4—524no—
566C22×C4—524no—
567C22×C4—5216no—
568C22×C4—5216no—
569C22×C4—5216no—
570C22×C4#612714yes—
571C22×C4Q8×D1314yes—
572C22×C4#613114yes—
573C22×C4C23×D1312yes—
574C22×C4C23×D1312yes—
575C22×C4C23×D1312yes—
576C22×C4C23×D1312yes—
577C22×C4C23×D1312yes—
578C22×C4C23×D1312yes—
579C22×C4C23×D1312yes—
580C4⋊C4—28no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—268no—
585C4⋊C4—268no—
586C4⋊C4—524no—
587C4⋊C4—524no—
588C4⋊C4—524no—
589C4⋊C4—524no—
590C22⋊C4—1316no—
591C22⋊C4—268no—
592C22⋊C4—268no—
593C22⋊C4—268no—
594C42—44no—
595C42—268no—
596C13C2×#250511yescharacteristic, complemented, Sylow
597C23—134no—
598C23—134no—
599C23—134no—
600C23—1316no—
601C23—268no—
602C23—268no—
603C23—268no—
604C23—268no—
605C23—268no—
606C23—268no—
607C23—262no—
608C23—262no—
609C23—262no—
610C23—262no—
611C23C2×#612712yes—
612C23#8825112yes—
613C23#8825112yes—
614C23C2×Q8×D1312yes—
615C23C2×#613112yes—
616C23#41×D1312yes—
617C23#41×D1312yes—
618C23C24×D1311yescharacteristic
619C2×C4—28no—
620C2×C4—28no—
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—22no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—134no—
645C2×C4—268no—
646C2×C4—262no—
647C2×C4—262no—
648C2×C4—262no—
649C2×C4—262no—
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—5216no—
667C2×C4—5216no—
668C2×C4—5216no—
669C2×C4—524no—
670C2×C4—524no—
671C2×C4—524no—
672C2×C4—524no—
673C2×C4—524no—
674C2×C4—524no—
675C2×C4C2×#612714yes—
676C2×C4C2×Q8×D1314yes—
677C2×C4C2×#613114yes—
678C22—138no—
679C22—2632no—
680C22—264no—
681C22—264no—
682C22—264no—
683C22—264no—
684C22—264no—
685C22—264no—
686C22#1171921614yes—
687C22#1171926114yes—
688C22#1171928514yes—
689C22#1171931814yes—
690C22#1171934214yes—
691C22D13×#12514yes—
692C22#1171943514yes—
693C22C22×#612711yescharacteristic
694C22C2×#8825111yescharacteristic
695C22C2×#8825111yescharacteristic
696C22C22×Q8×D1311yescharacteristic
697C22C22×#613111yescharacteristic
698C22C2×#41×D1311yescharacteristic
699C22C2×#41×D1311yescharacteristic
700C4—24no—
701C4—24no—
702C4—24no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—264no—
708C4—522no—
709C4—522no—
710C4—522no—
711C4—522no—
712C4—522no—
713C4—522no—
714C2—268no—
715C2#1311934218yesdirect product factor
716C2C2×D13×#12511yescharacteristic
717C2C2×#1171928511yescharacteristic
718C2C2×#1171931811yescharacteristic
719C2C2×#1171934211yescharacteristic
720C2C2×#1171926111yescharacteristic
721C2C2×#1171921611yescharacteristic
722C2C2×#1171943511yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#389C2
socleC24×C13C24
prime radicalC24×D13C23
hypercenterC2×#389D13
hypocenterC13C2×#2505
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. #13119342C2direct (N × H)
2. C2×#11718647C2semidirect
3. C2×#11718647C2semidirect
4. C2×#11718643C2semidirect
5. C2×#11718645C2semidirect
6. C2×#11718314C2semidirect
7. C2×#11718594C2semidirect
12. C2×#11718311C2semidirect
16. C2×C13×#389C2semidirect
36. C13×#389C22semidirect
57. #11718647C22semidirect
58. #11718647C22semidirect
59. #11718645C22semidirect
60. #11718643C22semidirect
62. #11718594C22semidirect
65. #11718314C22semidirect
66. #11718311C22semidirect
241. C2×#389D13semidirect
356. #389C2×D13semidirect
494. C2×C13#2505semidirect
596. C13C2×#2505semidirect
715. C2#13119342direct (N × H)

Maximal subgroups

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

subgroupindex
#131193422
C2×#117186472
C2×#117186432
C2×#117186452
C2×#117183142
C2×#117185942
C2×#117183292
C2×#117186502
C2×#117183112
C2×#117186482
C2×C4×#61032
C2×D13×#952
C2×C13×#3892
C2×#250513