Finite Group Databasebeta

← C2×#13117852 #16022448

Subgroups — C2×#13117852 #16022448

Order 3328.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88184C211yesmaximal, characteristic
2C22×#88147C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D13C212yesmaximal, complemented
4#13117852C2116yesmaximal, direct product factor
5C2×#11718649C211yesmaximal, characteristic, complemented
6C2×#11718634C211yesmaximal, characteristic, complemented
7C2×#11718651C212yesmaximal, complemented
8C2×#11718874C212yesmaximal, complemented
9C2×#11718650C212yesmaximal, complemented
10C2×C4⋊C4×Dic13C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊Dic13C211yesmaximal, characteristic, complemented
12C23×C13×C4⋊C4C211yesmaximal, characteristic, complemented
13C24×C4×C13C2212yes—
14C24×C4×C13C2211yescharacteristic
15C23×C22⋊D13C2212yes—
16C23×D52C2211yescharacteristic
17C23×C4×D13C2212yes—
18C22×C13×C4⋊C4—28no—
19C22×C13×C4⋊C4C2212yes—
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×C13×C4⋊C4C2218yescomplemented
23C22×C22⋊Dic13C2211yescharacteristic
24C22×C22⋊Dic13C2211yescharacteristic
25C2×#88184C4116yescomplemented
26C2×#88184C2218yes—
27C2×C4×C22⋊D13—216no—
28C2×C4×C22⋊D13C22116yescomplemented
29C22×#6103C2212yes—
30C22×#6103C2212yes—
31C22×#6103C2212yes—
32C22×#6103C2212yes—
33C22×C4⋊Dic13C2211yescharacteristic
34C22×#6101C2212yes—
35C22×C4×Dic13C2212yes—
36C22×C4×Dic13C2211yescharacteristic
37C22×C4×Dic13C2211yescharacteristic
38C2×#88147—28no—
39C2×#88147C2218yescomplemented
40#11718874C22116yescomplemented
41C4×C22⋊Dic13C2218yescomplemented
42C2×#88071C2211yescharacteristic
43C2×#88071C2212yes—
44C2×#88071C2212yes—
45C2×#88071C2211yescharacteristic
46#11718651C22116yescomplemented
47#11718650C22116yescomplemented
48#11718649C2218yescomplemented
49C4⋊C4×Dic13C2218yescomplemented
50#11718634C2218yescomplemented
51C25×C13C2311yescharacteristic
52C24×D13C2312yes—
53C23×C4×C13—24no—
54C23×C4×C13—24no—
55C23×C4×C13—28no—
56C23×C4×C13—28no—
57C23×C4×C13—44no—
58C23×C4×C13C2×C418yescomplemented
59C23×C4×C13C2312yes—
60C23×C4×C13C2318yes—
61C23×C4×C13C2311yescharacteristic
62C23×C4×C13C2314yes—
63C23×C4×C13C2312yes—
64C23×C4×C13C2311yescharacteristic
65C22×C22⋊D13—28no—
66C22×C22⋊D13—28no—
67C22×C22⋊D13C2×C4116yescomplemented
68C22×C22⋊D13C2318yes—
69C23×Dic13C2311yescharacteristic
70C23×Dic13C2311yescharacteristic
71C23×Dic13C2312yes—
72C23×Dic13C2311yescharacteristic
73C23×Dic13C2311yescharacteristic
74C22×D52—24no—
75C22×D52—24no—
76C22×D52C2×C418yescomplemented
77C22×D52C2314yes—
78C22×C4×D13—28no—
79C22×C4×D13—28no—
80C22×C4×D13—44no—
81C22×C4×D13C2318yes—
82C2×C13×C4⋊C4—28no—
83C2×C13×C4⋊C4—24no—
84C2×C13×C4⋊C4—232no—
85C2×C13×C4⋊C4D418yescomplemented
86C2×C13×C4⋊C4C2314yes—
87C2×C13×C4⋊C4C2318yes—
88C2×C13×C4⋊C4C2314yes—
89C2×C22⋊Dic13—24no—
90C2×C22⋊Dic13D418yescomplemented
91C2×C22⋊Dic13C2314yes—
92C2×C22⋊Dic13C2314yes—
93#88184C2×C4164yescomplemented
94C4×C22⋊D13—264no—
95C2×#6103—28no—
96C2×#6103—28no—
97C2×#6103—44no—
98C2×#6103C2×C4116yescomplemented
99C2×#6103C2318yes—
100C2×#6103C2318yes—
101C2×#6103C2318yes—
102C2×#6103C2318yes—
103C2×C4⋊Dic13C2×C418yescomplemented
104C2×C4⋊Dic13C2314yes—
105C2×#6101—28no—
106C2×#6101C2318yes—
107C2×C4×Dic13—24no—
108C2×C4×Dic13—24no—
109C2×C4×Dic13—28no—
110C2×C4×Dic13C2314yes—
111C2×C4×Dic13C2318yes—
112C2×C4×Dic13C2314yes—
113#88147—232no—
114#88071C2314yes—
115#88071C2314yes—
116#88071C2318yes—
117#88071C2318yes—
118C2×#2361—131nomaximal, Sylow
119C24×C13—22no—
120C24×C13—22no—
121C24×C13—22no—
122C24×C13—22no—
123C24×C13C22×C414yes—
124C24×C13C2×D414yes—
125C24×C13#4114yes—
126C24×C13C2412yes—
127C24×C13C2411yescharacteristic
128C23×D13—24no—
129C23×D13—24no—
130C23×D13—24no—
131C23×D13—24no—
132C23×D13—24no—
133C23×D13—24no—
134C23×D13C22×C418yes—
135C23×D13C2414yes—
136C22×C4×C13—24no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—24no—
140C22×C4×C13—232no—
141C22×C4×C13—28no—
142C22×C4×C13—28no—
143C22×C4×C13—24no—
144C22×C4×C13—216no—
145C22×C4×C13—24no—
146C22×C4×C13—24no—
147C22×C4×C13—216no—
148C22×C4×C13—48no—
149C22×C4×C13—432no—
150C22×C4×C13C22×C414yes—
151C22×C4×C13C22×C414yes—
152C22×C4×C13C22×C4116yescomplemented
153C22×C4×C13C2×D418yes—
154C22×C4×C13C2×D414yes—
155C22×C4×C13#4114yes—
156C22×C4×C13C2414yes—
157C22×C4×C13C2412yes—
158C22×C4×C13C2414yes—
159C22×C4×C13C2412yes—
160C2×C22⋊D13—264no—
161C2×C22⋊D13—216no—
162C2×C22⋊D13—216no—
163C2×C22⋊D13C22×C4132yescomplemented
164C22×Dic13—24no—
165C22×Dic13—22no—
166C22×Dic13—22no—
167C22×Dic13—24no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—22no—
172C22×Dic13—22no—
173C22×Dic13—22no—
174C22×Dic13—22no—
175C22×Dic13—22no—
176C22×Dic13C22×C418yes—
177C22×Dic13C2×D414yes—
178C22×Dic13C2×D414yes—
179C22×Dic13C2412yes—
180C22×Dic13C2412yes—
181C22×Dic13C2414yes—
182C22×Dic13C2412yes—
183C22×Dic13C2412yes—
184C2×D52—232no—
185C2×D52—28no—
186C2×D52—28no—
187C2×D52C22×C4116yescomplemented
188C2×C4×D13—216no—
189C2×C4×D13—216no—
190C2×C4×D13—48no—
191C2×C4×D13—432no—
192C13×C4⋊C4—216no—
193C13×C4⋊C4—28no—
194C13×C4⋊C4C2×D4116yescomplemented
195C22⋊Dic13—28no—
196C22⋊Dic13C2×D4116yescomplemented
197#6103—216no—
198#6103—216no—
199#6103—48no—
200#6103C22×C4132yescomplemented
201C4⋊Dic13C22×C4116yescomplemented
202#6101—216no—
203C4×Dic13—28no—
204C4×Dic13—28no—
205C4×Dic13—216no—
206C22×#121—131no—
207C22×C4×D4—132no—
208C22×C4×D4—131no—
209C23×C4⋊C4D1311yescharacteristic, complemented
210#2361—1316no—
211C2×#390—131no—
212C2×#389—131no—
213C2×#388—132no—
214C2×#386—132no—
215C2×#385—132no—
216C2×C4×C4⋊C4—131no—
217C2×C4×C22⋊C4—131no—
218C23×C13—28no—
219C23×C13—28no—
220C23×C13—28no—
221C23×C13—28no—
222C23×C13—28no—
223C23×C13—28no—
224C23×C13—22no—
225C23×C13—22no—
226C23×C13—22no—
227C23×C13—22no—
228C23×C13C4×D4116yescomplemented
229C23×C13C23×C414yes—
230C23×C13C23×C412yes—
231C23×C13C22×D414yes—
232C23×C13C22×D412yes—
233C23×C13C22×D412yes—
234C23×C13C2×#4114yes—
235C23×C13C2×#4112yes—
236C23×C13C2×#4112yes—
237C23×C13H(5,𝔽2)12yes—
238C23×C132−1+412yes—
239C23×C13C2511yescharacteristic
240C22×D13—216no—
241C22×D13—216no—
242C22×D13—216no—
243C22×D13—24no—
244C22×D13—24no—
245C22×D13—24no—
246C22×D13—24no—
247C22×D13—24no—
248C22×D13—24no—
249C22×D13—48no—
250C22×D13—48no—
251C22×D13—48no—
252C22×D13—48no—
253C22×D13C23×C418yes—
254C2×C4×C13—28no—
255C2×C4×C13—216no—
256C2×C4×C13—24no—
257C2×C4×C13—22no—
258C2×C4×C13—22no—
259C2×C4×C13—24no—
260C2×C4×C13—232no—
261C2×C4×C13—24no—
262C2×C4×C13—24no—
263C2×C4×C13—24no—
264C2×C4×C13—432no—
265C2×C4×C13—48no—
266C2×C4×C13C4×D4116yescomplemented
267C2×C4×C13C23×C414yes—
268C2×C4×C13C23×C414yes—
269C2×C4×C13C22×D418yes—
270C2×C4×C13C22×D414yes—
271C2×C4×C13C2×#4114yes—
272C22⋊D13—264no—
273C2×Dic13—216no—
274C2×Dic13—28no—
275C2×Dic13—28no—
276C2×Dic13—24no—
277C2×Dic13—22no—
278C2×Dic13—22no—
279C2×Dic13—24no—
280C2×Dic13—22no—
281C2×Dic13—22no—
282C2×Dic13—22no—
283C2×Dic13—22no—
284C2×Dic13—22no—
285C2×Dic13—22no—
286C2×Dic13—22no—
287C2×Dic13—22no—
288C2×Dic13—44no—
289C2×Dic13—44no—
290C2×Dic13C23×C418yes—
291C2×Dic13C22×D414yes—
292C2×Dic13C22×D414yes—
293D52—232no—
294C4×D13—432no—
295C23×D4—132no—
296C23×D4—131no—
297C24×C4—132no—
298C24×C4C2×D1312yes—
299C24×C4C2×D1311yescharacteristic
300C2×#121—1316no—
301C2×#121—138no—
302C2×C4×D4—1316no—
303C2×C4×D4—138no—
304C2×C4×D4—2616no—
305C2×C4×D4—268no—
306C22×C4⋊C4—28no—
307C22×C4⋊C4—131no—
308C22×C4⋊C4—132no—
309C22×C4⋊C4C2×D1312yes—
310C22×C4⋊C4C2×D1311yescharacteristic
311C22×C4⋊C4C2×D1311yescharacteristic
312C22×C4⋊C4C2×D1318yescomplemented
313C22×C22⋊C4—131no—
314C22×C22⋊C4—132no—
315C22×C22⋊C4—131no—
316C22×C22⋊C4—132no—
317C22×C22⋊C4—132no—
318C22×C22⋊C4—132no—
319C22×C42—131no—
320C22×C42—132no—
321C22×C42—131no—
322#390—138no—
323#389—138no—
324#388—1316no—
325#386—1316no—
326#385—1316no—
327C4×C4⋊C4—138no—
328C4×C22⋊C4—138no—
329C2×#95—131no—
330C2×#95—131no—
331C2×#95—132no—
332C2×#95—132no—
333C22×C13—232no—
334C22×C13—24no—
335C22×C13—24no—
336C22×C13—24no—
337C22×C13—24no—
338C22×C13—24no—
339C22×C13—24no—
340C22×C13C2×C4×D414yes—
341C22×C13C2×C4×D414yes—
342C22×C13C2×C4×D418yescomplemented
343C22×C13#52014yes—
344C22×C13D4214yes—
345C22×C13#54714yes—
346C22×C13#54814yes—
347C22×C13#55314yes—
348C22×C13C24×C411yescharacteristic
349C22×C13C23×D411yescharacteristic
350C22×C13C23×D411yescharacteristic
351C22×C13C22×#4111yescharacteristic
352C22×C13C22×#4111yescharacteristic
353C22×C13C2×H(5,𝔽2)11yescharacteristic
354C22×C13C2×2−1+411yescharacteristic
355C2×D13—28no—
356C2×D13—28no—
357C2×D13—28no—
358C2×D13—432no—
359C2×D13—44no—
360C2×D13—44no—
361C2×D13—44no—
362C2×D13—44no—
363C4×C13—24no—
364C4×C13—28no—
365C4×C13—44no—
366C4×C13C2×C4×D418yescomplemented
367Dic13—28no—
368Dic13—24no—
369Dic13—24no—
370Dic13—42no—
371Dic13—42no—
372C25—132no—
373C25C22×D1311yescharacteristic
374C22×D4—1316no—
375C22×D4—138no—
376C22×D4—138no—
377C22×D4—134no—
378C22×D4—268no—
379C22×D4—268no—
380C22×D4—264no—
381C22×D4—264no—
382C23×C4—24no—
383C23×C4—24no—
384C23×C4—28no—
385C23×C4—28no—
386C23×C4—44no—
387C23×C4—131no—
388C23×C4—131no—
389C23×C4—132no—
390C23×C4—131no—
391C23×C4—131no—
392C23×C4—138no—
393C23×C4—268no—
394C23×C4—268no—
395C23×C4—524no—
396C23×C4C4×D1318yescomplemented
397C23×C4C22×D1312yes—
398C23×C4C22×D1318yes—
399C23×C4C22×D1311yescharacteristic
400C23×C4C22×D1314yes—
401C23×C4C22×D1312yes—
402C23×C4C22×D1311yescharacteristic
403#121—1364no—
404C4×D4—2664no—
405C4×D4—2632no—
406C2×C4⋊C4—28no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—232no—
409C2×C4⋊C4—138no—
410C2×C4⋊C4—134no—
411C2×C4⋊C4—138no—
412C2×C4⋊C4—268no—
413C2×C4⋊C4C22⋊D1318yescomplemented
414C2×C4⋊C4C22×D1318yes—
415C2×C4⋊C4C22×D1314yes—
416C2×C4⋊C4C22×D1314yes—
417C2×C22⋊C4—138no—
418C2×C22⋊C4—134no—
419C2×C22⋊C4—1316no—
420C2×C22⋊C4—138no—
421C2×C22⋊C4—134no—
422C2×C22⋊C4—138no—
423C2×C22⋊C4—138no—
424C2×C22⋊C4—138no—
425C2×C22⋊C4—268no—
426C2×C22⋊C4—264no—
427C2×C22⋊C4—268no—
428C2×C22⋊C4—524no—
429C2×C42—134no—
430C2×C42—138no—
431C2×C42—134no—
432C2×C42—268no—
433C2×C42—264no—
434C2×C42—264no—
435#95—134no—
436#95—134no—
437#95—138no—
438#95—138no—
439C2×C13—28no—
440C2×C13#236118yescomplemented
441C2×C13C22×C4×D411yescharacteristic
442C2×C13C22×C4×D411yescharacteristic
443C2×C13C2×#52011yescharacteristic
444C2×C13C2×D4211yescharacteristic
445C2×C13C2×#54711yescharacteristic
446C2×C13C2×#54811yescharacteristic
447C2×C13C2×#55311yescharacteristic
448D13—48no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—138no—
454C24—134no—
455C24—264no—
456C24—264no—
457C24—264no—
458C24—264no—
459C24—264no—
460C24—264no—
461C24C2×C4×D1314yes—
462C24D4×D1314yes—
463C24#613114yes—
464C24C23×D1312yes—
465C24C23×D1311yescharacteristic
466C2×D4—1332no—
467C2×D4—1316no—
468C2×D4—2664no—
469C2×D4—2616no—
470C2×D4—2616no—
471C2×D4—2632no—
472C2×D4—268no—
473C2×D4—268no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—232no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—24no—
482C22×C4—216no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—216no—
486C22×C4—48no—
487C22×C4—432no—
488C22×C4—138no—
489C22×C4—134no—
490C22×C4—134no—
491C22×C4—134no—
492C22×C4—132no—
493C22×C4—132no—
494C22×C4—132no—
495C22×C4—132no—
496C22×C4—2616no—
497C22×C4—262no—
498C22×C4—264no—
499C22×C4—262no—
500C22×C4—264no—
501C22×C4—262no—
502C22×C4—262no—
503C22×C4—262no—
504C22×C4—262no—
505C22×C4—262no—
506C22×C4—262no—
507C22×C4—262no—
508C22×C4—262no—
509C22×C4—2616no—
510C22×C4—528no—
511C22×C4—5232no—
512C22×C4C2×C4×D1314yes—
513C22×C4C2×C4×D1314yes—
514C22×C4C2×C4×D13116yescomplemented
515C22×C4#612714yes—
516C22×C4C2×C22⋊D1318yes—
517C22×C4C2×C22⋊D1314yes—
518C22×C4C23×D1314yes—
519C22×C4C23×D1312yes—
520C22×C4C23×D1314yes—
521C22×C4C23×D1312yes—
522C4⋊C4—216no—
523C4⋊C4—28no—
524C4⋊C4—1316no—
525C4⋊C4—2616no—
526C4⋊C4C2×C22⋊D13116yescomplemented
527C22⋊C4—1316no—
528C22⋊C4—1332no—
529C22⋊C4—2616no—
530C22⋊C4—268no—
531C22⋊C4—2616no—
532C22⋊C4—528no—
533C42—2616no—
534C42—268no—
535C42—268no—
536C13C2×#236111yescharacteristic, complemented, Sylow
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—28no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—138no—
548C23—2616no—
549C23—2616no—
550C23—2616no—
551C23—264no—
552C23—264no—
553C23—264no—
554C23—264no—
555C23—264no—
556C23—264no—
557C23—528no—
558C23—528no—
559C23—528no—
560C23—528no—
561C23#88147116yescomplemented
562C23C22×C4×D1314yes—
563C23C22×C4×D1312yes—
564C23C2×#612712yes—
565C23C2×D4×D1314yes—
566C23C2×D4×D1312yes—
567C23#8825112yes—
568C23C2×#613114yes—
569C23C2×#613112yes—
570C23#8825412yes—
571C23C22×C22⋊D1312yes—
572C23C24×D1311yescharacteristic
573D4—2664no—
574D4—2632no—
575C2×C4—28no—
576C2×C4—216no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—232no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—432no—
586C2×C4—48no—
587C2×C4—138no—
588C2×C4—134no—
589C2×C4—134no—
590C2×C4—2616no—
591C2×C4—268no—
592C2×C4—268no—
593C2×C4—262no—
594C2×C4—264no—
595C2×C4—262no—
596C2×C4—264no—
597C2×C4—262no—
598C2×C4—262no—
599C2×C4—262no—
600C2×C4—262no—
601C2×C4—262no—
602C2×C4—262no—
603C2×C4—262no—
604C2×C4—262no—
605C2×C4—5232no—
606C2×C4—524no—
607C2×C4—524no—
608C2×C4C4×C22⋊D13116yescomplemented
609C2×C4C22×C4×D1314yes—
610C2×C4C22×C4×D1314yes—
611C2×C4C2×#612714yes—
612C2×C4C22×C22⋊D1318yes—
613C2×C4C22×C22⋊D1314yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—232no—
620C22—24no—
621C22—268no—
622C22—268no—
623C22—268no—
624C22—524no—
625C22—524no—
626C22—524no—
627C22—5232no—
628C22—524no—
629C22C2×#8814714yes—
630C22C2×#8814718yescomplemented
631C22#1171920914yes—
632C22#1171921214yes—
633C22#1171921914yes—
634C22C2×C4×C22⋊D1314yes—
635C22D4×C22⋊D1314yes—
636C22#1171952214yes—
637C22C23×C4×D1311yescharacteristic
638C22C22×#612711yescharacteristic
639C22C22×D4×D1311yescharacteristic
640C22C2×#8825111yescharacteristic
641C22C22×#613111yescharacteristic
642C22C2×#8825411yescharacteristic
643C22C23×C22⋊D1311yescharacteristic
644C4—24no—
645C4—28no—
646C4—44no—
647C4—268no—
648C4—264no—
649C4—264no—
650C4—522no—
651C4—522no—
652C4C2×C4×C22⋊D1318yescomplemented
653C2—28no—
654C2—528no—
655C2#1311785218yesdirect product factor
656C2C22×C4×C22⋊D1311yescharacteristic
657C2C22×#8814711yescharacteristic
658C2C2×#1171920911yescharacteristic
659C2C2×D4×C22⋊D1311yescharacteristic
660C2C2×#1171921211yescharacteristic
661C2C2×#1171952211yescharacteristic
662C2C2×#1171921911yescharacteristic
subgroupG/H
centerC24C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC23×C13×C4⋊C4C2
socleC24×C13C24
prime radicalC22×#88184C2
cosocleC23×C13C25
hypercenterC23×C4⋊C4D13
hypocenterC13C2×#2361
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×#88147C2semidirect
3. C22×C4×C22⋊D13C2semidirect
4. #13117852C2direct (N × H)
5. C2×#11718649C2semidirect
6. C2×#11718634C2semidirect
7. C2×#11718651C2semidirect
8. C2×#11718874C2semidirect
9. C2×#11718650C2semidirect
10. C2×C4⋊C4×Dic13C2semidirect
11. C2×C4×C22⋊Dic13C2semidirect
12. C23×C13×C4⋊C4C2semidirect
22. C22×C13×C4⋊C4C22semidirect
25. C2×#88184C4semidirect
28. C2×C4×C22⋊D13C22semidirect
39. C2×#88147C22semidirect
40. #11718874C22semidirect
41. C4×C22⋊Dic13C22semidirect
46. #11718651C22semidirect
47. #11718650C22semidirect
48. #11718649C22semidirect
49. C4⋊C4×Dic13C22semidirect
50. #11718634C22semidirect
58. C23×C4×C13C2×C4semidirect
67. C22×C22⋊D13C2×C4semidirect
76. C22×D52C2×C4semidirect
85. C2×C13×C4⋊C4D4semidirect
90. C2×C22⋊Dic13D4semidirect
93. #88184C2×C4semidirect
98. C2×#6103C2×C4semidirect
103. C2×C4⋊Dic13C2×C4semidirect
152. C22×C4×C13C22×C4semidirect
163. C2×C22⋊D13C22×C4semidirect
187. C2×D52C22×C4semidirect
194. C13×C4⋊C4C2×D4semidirect
196. C22⋊Dic13C2×D4semidirect
200. #6103C22×C4semidirect
201. C4⋊Dic13C22×C4semidirect
209. C23×C4⋊C4D13semidirect
228. C23×C13C4×D4semidirect
266. C2×C4×C13C4×D4semidirect
312. C22×C4⋊C4C2×D13semidirect
342. C22×C13C2×C4×D4semidirect
366. C4×C13C2×C4×D4semidirect
396. C23×C4C4×D13semidirect
413. C2×C4⋊C4C22⋊D13semidirect
440. C2×C13#2361semidirect
514. C22×C4C2×C4×D13semidirect
526. C4⋊C4C2×C22⋊D13semidirect
536. C13C2×#2361semidirect
561. C23#88147semidirect
608. C2×C4C4×C22⋊D13semidirect
630. C22C2×#88147semidirect
652. C4C2×C4×C22⋊D13semidirect
655. C2#13117852direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#881842
C22×#881472
C22×C4×C22⋊D132
#131178522
C2×#117186492
C2×#117186342
C2×#117186512
C2×#117188742
C2×#117186502
C2×C4⋊C4×Dic132
C2×C4×C22⋊Dic132
C23×C13×C4⋊C42
C2×#236113