Finite Group Databasebeta

← C2×#13120115 #16033158

Subgroups — C2×#13120115 #16033158

Order 3328.

2334 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
1#13120115C2116yesmaximal, direct product factor
2C2×#11718641C211yesmaximal, characteristic, complemented
3C2×#11718655C211yesmaximal, characteristic
4C2×#11718317C211yesmaximal, characteristic, complemented
5C2×#11718334C211yesmaximal, characteristic
6C2×#11718307C211yesmaximal, characteristic, complemented
7C2×#11718601C211yesmaximal, characteristic
8C2×#11718330C211yesmaximal, characteristic
9C2×#11718316C211yesmaximal, characteristic, complemented
10C2×#11718642C211yesmaximal, characteristic, complemented
11C2×#11718329C211yesmaximal, characteristic
12C2×#11718311C211yesmaximal, characteristic, complemented
13C2×#11718648C211yesmaximal, characteristic
14C2×C4×C4⋊Dic13C211yesmaximal, characteristic, complemented
15C2×#11718327C211yesmaximal, characteristic
16C2×C13×#387C211yesmaximal, characteristic, complemented
17C23×C4×D13C2211yescharacteristic
18C23×Dic26C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C42×C13C2211yescharacteristic
22C22×#6103C2211yescharacteristic
23C22×#6103C2211yescharacteristic
24C22×#6103C2211yescharacteristic
25C22×#6103C2211yescharacteristic
26C22×#6103C2211yescharacteristic
27C22×#6103C2211yescharacteristic
28C22×C4⋊Dic13C2211yescharacteristic
29C22×C4⋊Dic13C2211yescharacteristic
30C22×C4⋊Dic13C2211yescharacteristic
31C22×#6101C2211yescharacteristic
32C22×#6101C2211yescharacteristic
33C22×#6101C2211yescharacteristic
34C22×#6101C2211yescharacteristic
35C22×C4×Dic13C2211yescharacteristic
36C22×C4×Dic13C2211yescharacteristic
37C22×C4×Dic13C2211yescharacteristic
38C13×#387C2218yescomplemented
39C2×C13×#95C2211yescharacteristic
40C2×C13×#95C2211yescharacteristic
41C2×C13×#95C2211yescharacteristic
42C2×C13×#95C2211yescharacteristic
43C2×#88071C2211yescharacteristic
44C2×#88071C2211yescharacteristic
45C2×#88071C2211yescharacteristic
46C2×#88071C2211yescharacteristic
47C2×#88071C2211yescharacteristic
48C2×#88071C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C2×#88071C2211yescharacteristic
52C2×#88071C2211yescharacteristic
53#11718655C2218yes—
54#11718648C2218yes—
55#11718642C2218yescomplemented
56#11718641C2218yescomplemented
57#11718601C2218yes—
58C4×C4⋊Dic13C2218yescomplemented
59#11718334C2218yes—
60#11718330C2218yes—
61#11718329C2218yes—
62#11718327C2218yes—
63#11718317C2218yescomplemented
64#11718316C2218yescomplemented
65#11718311C2218yescomplemented
66#11718307C2218yescomplemented
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—42no—
85C22×C4×D13C2314yes—
86C22×Dic26—24no—
87C22×Dic26—42no—
88C22×Dic26—42no—
89C22×Dic26C2314yes—
90C2×C13×C4⋊C4—24no—
91C2×C13×C4⋊C4—24no—
92C2×C13×C4⋊C4C2314yes—
93C2×C13×C4⋊C4C2314yes—
94C2×C42×C13—24no—
95C2×C42×C13C2314yes—
96C2×#6103—24no—
97C2×#6103—24no—
98C2×#6103—42no—
99C2×#6103—42no—
100C2×#6103—42no—
101C2×#6103Q818yescomplemented
102C2×#6103C2314yes—
103C2×#6103C2314yes—
104C2×#6103C2314yes—
105C2×#6103C2314yes—
106C2×#6103C2314yes—
107C2×#6103C2314yes—
108C2×C4⋊Dic13—24no—
109C2×C4⋊Dic13—24no—
110C2×C4⋊Dic13—42no—
111C2×C4⋊Dic13C2314yes—
112C2×C4⋊Dic13C2314yes—
113C2×C4⋊Dic13C2314yes—
114C2×#6101—24no—
115C2×#6101—42no—
116C2×#6101—42no—
117C2×#6101—42no—
118C2×#6101C2314yes—
119C2×#6101C2314yes—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×C4×Dic13—24no—
123C2×C4×Dic13—42no—
124C2×C4×Dic13—42no—
125C2×C4×Dic13C2314yes—
126C2×C4×Dic13C2314yes—
127C2×C4×Dic13C2314yes—
128C13×#95C2314yes—
129C13×#95C2314yes—
130C13×#95C2314yes—
131C13×#95C2314yes—
132#88071C2314yes—
133#88071C2314yes—
134#88071C2314yes—
135#88071C2314yes—
136#88071C2314yes—
137#88071C2314yes—
138#88071C2314yes—
139#88071C2314yes—
140#88071C2314yes—
141#88071C2314yes—
142C2×#2574—131nomaximal, Sylow
143C24×C13C2411yescharacteristic
144C23×D13—22no—
145C23×D13—22no—
146C23×D13—22no—
147C23×D13—22no—
148C23×D13—22no—
149C23×D13—22no—
150C23×D13C2×Q814yes—
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×Dic13C2×Q814yes—
199C22×Dic13#4114yes—
200C22×Dic13#4114yes—
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—44no—
211C2×C4×D13—416no—
212C2×Dic26—28no—
213C2×Dic26—44no—
214C2×Dic26—44no—
215C2×Dic26—416no—
216C13×C4⋊C4—28no—
217C13×C4⋊C4—28no—
218C42×C13—28no—
219#6103—28no—
220#6103—28no—
221#6103—44no—
222#6103—44no—
223#6103—44no—
224#6103C2×Q8116yescomplemented
225C4⋊Dic13—28no—
226C4⋊Dic13—28no—
227C4⋊Dic13—44no—
228#6101—28no—
229#6101—44no—
230#6101—44no—
231#6101—44no—
232C4×Dic13—28no—
233C4×Dic13—44no—
234C4×Dic13—44no—
235#2574—1316no—
236C2×#398—131no—
237C2×#396—131no—
238C2×#395—131no—
239C2×#393—131no—
240C2×#391—131no—
241C2×#388—131no—
242C2×#388—131no—
243C2×#387—131no—
244C2×#387—131no—
245C2×#387D1311yescharacteristic, complemented
246C2×#385—131no—
247C2×#382—131no—
248C2×#380—131no—
249C2×C4×C4⋊C4—131no—
250C2×C4×C22⋊C4—131no—
251C23×C13C22×Q812yes—
252C23×C13C2×#4112yes—
253C23×C13C2×#4112yes—
254C23×C13C2×#4112yes—
255C23×C13C2×#4112yes—
256C23×C13H(5,𝔽2)12yes—
257C23×C13H(5,𝔽2)12yes—
258C23×C13C2511yescharacteristic
259C22×D13—28no—
260C22×D13—28no—
261C22×D13—28no—
262C22×D13—22no—
263C22×D13—22no—
264C22×D13—22no—
265C22×D13—22no—
266C22×D13—22no—
267C22×D13—22no—
268C22×D13—44no—
269C22×D13—44no—
270C22×D13—44no—
271C22×D13—44no—
272C22×D13C22×Q814yes—
273C2×C4×C13—28no—
274C2×C4×C13—28no—
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—22no—
294C2×C4×C13—44no—
295C2×C4×C13—44no—
296C2×C4×C13—44no—
297C2×C4×C13—44no—
298C2×C4×C13C22×Q814yes—
299C2×C4×C13C2×#4114yes—
300C2×C4×C13C2×#4114yes—
301C2×Dic13—28no—
302C2×Dic13—28no—
303C2×Dic13—28no—
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—44no—
323C2×Dic13—44no—
324C2×Dic13—44no—
325C2×Dic13—44no—
326C2×Dic13C22×Q814yes—
327C2×Dic13C2×#4114yes—
328C2×Dic13C2×#4114yes—
329C4×D13—416no—
330Dic26—416no—
331C23×Q8—131no—
332C24×C4—131no—
333C22×C4⋊C4—131no—
334C22×C4⋊C4—131no—
335C22×C4⋊C4—131no—
336C22×C4⋊C4—131no—
337C22×C4⋊C4—131no—
338C22×C4⋊C4—131no—
339C22×C4⋊C4—131no—
340C22×C4⋊C4C2×D1311yescharacteristic
341C22×C4⋊C4C2×D1311yescharacteristic
342C22×C22⋊C4—131no—
343C22×C22⋊C4—131no—
344C22×C22⋊C4—131no—
345C22×C22⋊C4—131no—
346C22×C22⋊C4—131no—
347C22×C22⋊C4—131no—
348C22×C42—131no—
349C22×C42—131no—
350C22×C42—131no—
351C22×C42C2×D1311yescharacteristic
352#398—138no—
353#396—138no—
354#395—138no—
355#393—138no—
356#391—138no—
357#388—138no—
358#388—138no—
359#387—138no—
360#387—138no—
361#387C2×D1318yescomplemented
362#385—138no—
363#382—138no—
364#380—138no—
365C4×C4⋊C4—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×#95C2×D1311yescharacteristic
378C2×#95C2×D1311yescharacteristic
379C2×#95C2×D1311yescharacteristic
380C2×#95C2×D1311yescharacteristic
381C22×C13#52914yes—
382C22×C13#53314yes—
383C22×C13#53814yes—
384C22×C13#55114yes—
385C22×C13#55414yes—
386C22×C13#55414yes—
387C22×C13#55514yes—
388C22×C13C23×Q811yescharacteristic
389C22×C13C22×#4111yescharacteristic
390C22×C13C22×#4111yescharacteristic
391C22×C13C22×#4111yescharacteristic
392C22×C13C22×#4111yescharacteristic
393C22×C13C2×H(5,𝔽2)11yescharacteristic
394C22×C13C2×H(5,𝔽2)11yescharacteristic
395C2×D13—24no—
396C2×D13—24no—
397C2×D13—24no—
398C2×D13—416no—
399C2×D13—42no—
400C2×D13—42no—
401C2×D13—42no—
402C2×D13—42no—
403C4×C13—24no—
404C4×C13—24no—
405C4×C13—24no—
406C4×C13—42no—
407C4×C13—42no—
408C4×C13—42no—
409C4×C13—42no—
410Dic13—24no—
411Dic13—24no—
412Dic13—24no—
413Dic13—42no—
414Dic13—42no—
415Dic13—42no—
416Dic13—42no—
417C25—131no—
418C22×Q8—134no—
419C22×Q8—264no—
420C22×Q8—522no—
421C22×Q8—522no—
422C23×C4—131no—
423C23×C4—131no—
424C23×C4—131no—
425C23×C4—131no—
426C23×C4—131no—
427C23×C4—131no—
428C23×C4—131no—
429C23×C4—134no—
430C23×C4—264no—
431C23×C4—264no—
432C23×C4—522no—
433C23×C4C22×D1311yescharacteristic
434C23×C4C22×D1311yescharacteristic
435C23×C4C22×D1311yescharacteristic
436C23×C4C22×D1311yescharacteristic
437C23×C4C22×D1311yescharacteristic
438C23×C4C22×D1311yescharacteristic
439C23×C4C22×D1311yescharacteristic
440C2×C4⋊C4—24no—
441C2×C4⋊C4—24no—
442C2×C4⋊C4—134no—
443C2×C4⋊C4—134no—
444C2×C4⋊C4—134no—
445C2×C4⋊C4—134no—
446C2×C4⋊C4—134no—
447C2×C4⋊C4—134no—
448C2×C4⋊C4—134no—
449C2×C4⋊C4—264no—
450C2×C4⋊C4—264no—
451C2×C4⋊C4—264no—
452C2×C4⋊C4—522no—
453C2×C4⋊C4—522no—
454C2×C4⋊C4—522no—
455C2×C4⋊C4—522no—
456C2×C4⋊C4C22×D1314yes—
457C2×C4⋊C4C22×D1314yes—
458C2×C22⋊C4—138no—
459C2×C22⋊C4—134no—
460C2×C22⋊C4—134no—
461C2×C22⋊C4—134no—
462C2×C22⋊C4—134no—
463C2×C22⋊C4—134no—
464C2×C22⋊C4—134no—
465C2×C22⋊C4—264no—
466C2×C22⋊C4—264no—
467C2×C22⋊C4—522no—
468C2×C22⋊C4—522no—
469C2×C22⋊C4—522no—
470C2×C42—24no—
471C2×C42—134no—
472C2×C42—134no—
473C2×C42—134no—
474C2×C42—264no—
475C2×C42—522no—
476C2×C42—522no—
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#95C22×D1314yes—
489#95C22×D1314yes—
490#95C22×D1314yes—
491#95C22×D1314yes—
492C2×C13#257418yescomplemented
493C2×C13C2×#52911yescharacteristic
494C2×C13C2×#53311yescharacteristic
495C2×C13C2×#53811yescharacteristic
496C2×C13C2×#55111yescharacteristic
497C2×C13C2×#55411yescharacteristic
498C2×C13C2×#55411yescharacteristic
499C2×C13C2×#55511yescharacteristic
500D13—44no—
501C24—134no—
502C24—132no—
503C24—262no—
504C24—262no—
505C24—262no—
506C24—262no—
507C24—262no—
508C24—262no—
509C24C23×D1311yescharacteristic
510C2×Q8—268no—
511C2×Q8—524no—
512C2×Q8—524no—
513C2×Q8—5216no—
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—22no—
531C22×C4—22no—
532C22×C4—134no—
533C22×C4—134no—
534C22×C4—134no—
535C22×C4—132no—
536C22×C4—132no—
537C22×C4—132no—
538C22×C4—132no—
539C22×C4—132no—
540C22×C4—132no—
541C22×C4—132no—
542C22×C4—268no—
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—524no—
563C22×C4—5216no—
564C22×C4#612714yes—
565C22×C4#612914yes—
566C22×C4Q8×D1314yes—
567C22×C4C23×D1312yes—
568C22×C4C23×D1312yes—
569C22×C4C23×D1312yes—
570C22×C4C23×D1312yes—
571C22×C4C23×D1312yes—
572C22×C4C23×D1312yes—
573C22×C4C23×D1312yes—
574C4⋊C4—28no—
575C4⋊C4—28no—
576C4⋊C4—268no—
577C4⋊C4—268no—
578C4⋊C4—268no—
579C4⋊C4—524no—
580C4⋊C4—524no—
581C4⋊C4—524no—
582C4⋊C4—524no—
583C22⋊C4—1316no—
584C22⋊C4—268no—
585C22⋊C4—268no—
586C22⋊C4—524no—
587C22⋊C4—524no—
588C22⋊C4—524no—
589C42—28no—
590C42—268no—
591C42—524no—
592C42—524no—
593C13C2×#257411yescharacteristic, complemented, Sylow
594C23—134no—
595C23—268no—
596C23—268no—
597C23—262no—
598C23—262no—
599C23—262no—
600C23—262no—
601C23—262no—
602C23—262no—
603C23—268no—
604C23—524no—
605C23—524no—
606C23—524no—
607C23—524no—
608C23C2×#612712yes—
609C23C2×#612912yes—
610C23C2×Q8×D1312yes—
611C23#41×D1312yes—
612C23#41×D1312yes—
613C23#8825612yes—
614C23#8825612yes—
615C23C24×D1311yescharacteristic
616Q8—5216no—
617C2×C4—28no—
618C2×C4—28no—
619C2×C4—28no—
620C2×C4—22no—
621C2×C4—22no—
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—44no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—134no—
643C2×C4—134no—
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—268no—
653C2×C4—268no—
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—524no—
668C2×C4—524no—
669C2×C4—524no—
670C2×C4—524no—
671C2×C4C2×#612714yes—
672C2×C4C2×#612914yes—
673C2×C4C2×Q8×D1314yes—
674C22—264no—
675C22—264no—
676C22—264no—
677C22—5216no—
678C22—522no—
679C22—522no—
680C22—522no—
681C22—522no—
682C22#1171923214yes—
683C22#1171926814yes—
684C22#1171928314yes—
685C22#1171934014yes—
686C22#1171935414yes—
687C22#1171939514yes—
688C22#1171940914yes—
689C22C22×#612711yescharacteristic
690C22C22×#612911yescharacteristic
691C22C22×Q8×D1311yescharacteristic
692C22C2×#41×D1311yescharacteristic
693C22C2×#41×D1311yescharacteristic
694C22C2×#8825611yescharacteristic
695C22C2×#8825611yescharacteristic
696C4—24no—
697C4—24no—
698C4—24no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—264no—
704C4—264no—
705C4—264no—
706C4—522no—
707C4—522no—
708C4—522no—
709C4—522no—
710C2—524no—
711C2#1312011518yesdirect product factor
712C2C2×#1171935411yescharacteristic
713C2C2×#1171928311yescharacteristic
714C2C2×#1171940911yescharacteristic
715C2C2×#1171923211yescharacteristic
716C2C2×#1171939511yescharacteristic
717C2C2×#1171934011yescharacteristic
718C2C2×#1171926811yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#387C2
socleC24×C13C24
prime radicalC24×D13C23
hypercenterC2×#387D13
hypocenterC13C2×#2574
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #13120115C2direct (N × H)
2. C2×#11718641C2semidirect
4. C2×#11718317C2semidirect
6. C2×#11718307C2semidirect
9. C2×#11718316C2semidirect
10. C2×#11718642C2semidirect
12. C2×#11718311C2semidirect
14. C2×C4×C4⋊Dic13C2semidirect
16. C2×C13×#387C2semidirect
38. C13×#387C22semidirect
55. #11718642C22semidirect
56. #11718641C22semidirect
58. C4×C4⋊Dic13C22semidirect
63. #11718317C22semidirect
64. #11718316C22semidirect
65. #11718311C22semidirect
66. #11718307C22semidirect
101. C2×#6103Q8semidirect
224. #6103C2×Q8semidirect
245. C2×#387D13semidirect
361. #387C2×D13semidirect
492. C2×C13#2574semidirect
593. C13C2×#2574semidirect
711. C2#13120115direct (N × H)

Maximal subgroups

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

subgroupindex
#131201152
C2×#117186412
C2×#117186552
C2×#117183172
C2×#117183342
C2×#117183072
C2×#117186012
C2×#117183302
C2×#117183162
C2×#117186422
C2×#117183292
C2×#117183112
C2×#117186482
C2×C4×C4⋊Dic132
C2×#117183272
C2×C13×#3872
C2×#257413