Finite Group Databasebeta

← C2×#13117732 #16022200

Subgroups — C2×#13117732 #16022200

Order 3328.

4718 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D13C211yesmaximal, characteristic
2C22×#88135C212yesmaximal
3C23×C4⋊Dic13C211yesmaximal, characteristic, complemented
4C22×C4⋊C4×D13C211yesmaximal, characteristic, complemented
5#13117732C2116yesmaximal, direct product factor
6C2×#11718308C212yesmaximal, complemented
7C2×#11718329C212yesmaximal, complemented
8C2×#11718607C212yesmaximal, complemented
9C2×#11718637C211yesmaximal, characteristic, complemented
10C2×#11718648C211yesmaximal, characteristic, complemented
11C2×C4⋊C4×Dic13C211yesmaximal, characteristic, complemented
12C2×C13×#380C211yesmaximal, characteristic, complemented
13C24×C4×C13C2211yescharacteristic
14C23×C22⋊D13C2211yescharacteristic
15C24×Dic13C2212yes—
16C23×C4×D13C2212yes—
17C23×C4×D13C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C22⋊C4C2212yes—
21C22×C22⋊Dic13C2211yescharacteristic
22C2×C4×C22⋊D13C4116yescomplemented
23C2×C4×C22⋊D13C2218yes—
24C22×#6103C2212yes—
25C22×#6103C2211yescharacteristic
26C22×C4⋊Dic13—28no—
27C22×C4⋊Dic13C2211yescharacteristic
28C22×C4⋊Dic13C2212yes—
29C22×C4⋊Dic13C2211yescharacteristic
30C22×C4⋊Dic13C2218yescomplemented
31C22×#6101C2212yes—
32C22×#6101C2212yes—
33C22×#6101C2212yes—
34C22×#6101C2211yescharacteristic
35C22×C4×Dic13C2212yes—
36C22×C4×Dic13C2211yescharacteristic
37C2×C4⋊C4×D13—28no—
38C2×C4⋊C4×D13C2218yescomplemented
39C2×#88135—216no—
40C2×#88135C22116yes—
41C13×#380C2218yescomplemented
42C2×C13×#95C2212yes—
43C2×#88071C2212yes—
44C2×#88071C2212yes—
45#11718648C2218yescomplemented
46#11718637C2218yescomplemented
47C4⋊C4×Dic13C2218yescomplemented
48#11718607C22116yescomplemented
49#11718329C22116yescomplemented
50#11718308C22116yescomplemented
51C25×C13C2311yescharacteristic
52C24×D13C2311yescharacteristic
53C23×C4×C13—24no—
54C23×C4×C13—24no—
55C23×C4×C13C2×C418yescomplemented
56C23×C4×C13C2312yes—
57C23×C4×C13C2312yes—
58C23×C4×C13C2311yescharacteristic
59C23×C4×C13C2314yes—
60C23×C4×C13C2311yescharacteristic
61C22×C22⋊D13C2×C418yes—
62C22×C22⋊D13D418yes—
63C22×C22⋊D13Q818yes—
64C22×C22⋊D13C2314yes—
65C23×Dic13—28no—
66C23×Dic13—28no—
67C23×Dic13—44no—
68C23×Dic13C2312yes—
69C23×Dic13C2318yes—
70C23×Dic13C2311yescharacteristic
71C23×Dic13C2311yescharacteristic
72C23×Dic13C2312yes—
73C23×Dic13C2311yescharacteristic
74C22×C4×D13—24no—
75C22×C4×D13—24no—
76C22×C4×D13—28no—
77C22×C4×D13—28no—
78C22×C4×D13—44no—
79C22×C4×D13C2×C418yescomplemented
80C22×C4×D13C2318yes—
81C22×C4×D13C2314yes—
82C2×C13×C4⋊C4—24no—
83C2×C13×C4⋊C4—24no—
84C2×C13×C4⋊C4C2314yes—
85C2×C13×C4⋊C4C2314yes—
86C2×C13×C22⋊C4—28no—
87C2×C13×C22⋊C4C2318yes—
88C2×C22⋊Dic13C2×C418yescomplemented
89C2×C22⋊Dic13C2314yes—
90C4×C22⋊D13C2×C4164yescomplemented
91C2×#6103—28no—
92C2×#6103C2×C418yescomplemented
93C2×#6103C2318yes—
94C2×#6103C2314yes—
95C2×C4⋊Dic13—24no—
96C2×C4⋊Dic13—28no—
97C2×C4⋊Dic13—232no—
98C2×C4⋊Dic13D418yescomplemented
99C2×C4⋊Dic13C2318yes—
100C2×C4⋊Dic13C2314yes—
101C2×C4⋊Dic13C2314yes—
102C2×#6101—28no—
103C2×#6101—28no—
104C2×#6101—44no—
105C2×#6101C2×C418yescomplemented
106C2×#6101C2318yes—
107C2×#6101C2318yes—
108C2×#6101C2318yes—
109C2×#6101C2314yes—
110C2×C4×Dic13—28no—
111C2×C4×Dic13C2×C418yescomplemented
112C2×C4×Dic13C2318yes—
113C2×C4×Dic13C2314yes—
114C4⋊C4×D13—232no—
115#88135—264no—
116C13×#95C2318yes—
117#88071C2318yes—
118#88071C2318yes—
119C2×D4×C4⋊C4—131nomaximal, Sylow
120C24×C13—22no—
121C24×C13—22no—
122C24×C13—22no—
123C24×C13—22no—
124C24×C13C22×C414yes—
125C24×C13C2×D414yes—
126C24×C13C2×Q814yes—
127C24×C13C2412yes—
128C24×C13C2411yescharacteristic
129C23×D13—22no—
130C23×D13—22no—
131C23×D13—22no—
132C23×D13—22no—
133C23×D13C22×C414yes—
134C23×D13C2×D414yes—
135C23×D13C2×Q814yes—
136C23×D13C2412yes—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—232no—
140C22×C4×C13—28no—
141C22×C4×C13—28no—
142C22×C4×C13—24no—
143C22×C4×C13—24no—
144C22×C4×C13—24no—
145C22×C4×C13—24no—
146C22×C4×C13—24no—
147C22×C4×C13—24no—
148C22×C4×C13C22×C414yes—
149C22×C4×C13C22×C414yes—
150C22×C4×C13C22×C4116yescomplemented
151C22×C4×C13C2×D414yes—
152C22×C4×C13#4114yes—
153C22×C4×C13C2414yes—
154C22×C4×C13C2414yes—
155C22×C4×C13C2412yes—
156C22×C4×C13C2412yes—
157C2×C22⋊D13C4⋊C4164yescomplemented
158C2×C22⋊D13C22×C4116yes—
159C2×C22⋊D13C2×D4116yes—
160C2×C22⋊D13C2×Q8116yes—
161C22×Dic13—24no—
162C22×Dic13—22no—
163C22×Dic13—22no—
164C22×Dic13—22no—
165C22×Dic13—24no—
166C22×Dic13—22no—
167C22×Dic13—216no—
168C22×Dic13—24no—
169C22×Dic13—24no—
170C22×Dic13—24no—
171C22×Dic13—216no—
172C22×Dic13—48no—
173C22×Dic13—432no—
174C22×Dic13C22×C414yes—
175C22×Dic13C22×C414yes—
176C22×Dic13C22×C414yes—
177C22×Dic13C2×D418yes—
178C22×Dic13C2×D414yes—
179C22×Dic13C2×Q814yes—
180C22×Dic13C2414yes—
181C22×Dic13C2412yes—
182C22×Dic13C2412yes—
183C22×Dic13C2414yes—
184C22×Dic13C2412yes—
185C2×C4×D13—232no—
186C2×C4×D13—28no—
187C2×C4×D13—28no—
188C2×C4×D13—216no—
189C2×C4×D13—216no—
190C2×C4×D13—48no—
191C2×C4×D13—432no—
192C2×C4×D13C22×C4116yescomplemented
193C13×C4⋊C4—28no—
194C13×C4⋊C4—28no—
195C13×C22⋊C4—216no—
196C22⋊Dic13C22×C4116yescomplemented
197#6103—216no—
198#6103C22×C4116yescomplemented
199C4⋊Dic13—28no—
200C4⋊Dic13—216no—
201C4⋊Dic13C2×D4116yescomplemented
202#6101—216no—
203#6101—216no—
204#6101—48no—
205#6101C22×C4116yescomplemented
206C4×Dic13—216no—
207C4×Dic13C22×C4116yescomplemented
208C22×C4×D4—131no—
209C22×C4×D4—132no—
210C23×C4⋊C4—131no—
211C23×C4⋊C4—131no—
212D4×C4⋊C4—1316no—
213C2×#389—132no—
214C2×#385—132no—
215C2×#385—132no—
216C2×#384—131no—
217C2×#380—131no—
218C2×#380D1311yescharacteristic, complemented
219C2×C4×C4⋊C4—131no—
220C23×C13—28no—
221C23×C13—28no—
222C23×C13—28no—
223C23×C13—28no—
224C23×C13—28no—
225C23×C13—28no—
226C23×C13—22no—
227C23×C13—22no—
228C23×C13—22no—
229C23×C13—22no—
230C23×C13C2×C4⋊C4116yescomplemented
231C23×C13C23×C414yes—
232C23×C13C23×C412yes—
233C23×C13C22×D414yes—
234C23×C13C22×D412yes—
235C23×C13C22×D412yes—
236C23×C13C22×Q814yes—
237C23×C13C22×Q812yes—
238C23×C13C2×#4112yes—
239C23×C13H(5,𝔽2)12yes—
240C23×C132−1+412yes—
241C23×C13C2511yescharacteristic
242C22×D13—28no—
243C22×D13—28no—
244C22×D13—28no—
245C22×D13—28no—
246C22×D13—28no—
247C22×D13—28no—
248C22×D13—22no—
249C22×D13—22no—
250C22×D13—22no—
251C22×D13—22no—
252C22×D13C2×C4⋊C4116yescomplemented
253C22×D13C23×C414yes—
254C22×D13C22×D414yes—
255C22×D13C22×Q814yes—
256C2×C4×C13—28no—
257C2×C4×C13—22no—
258C2×C4×C13—22no—
259C2×C4×C13—232no—
260C2×C4×C13—24no—
261C2×C4×C13—24no—
262C2×C4×C13—24no—
263C2×C4×C13—24no—
264C2×C4×C13—24no—
265C2×C4×C13—24no—
266C2×C4×C13—48no—
267C2×C4×C13—48no—
268C2×C4×C13C4×D4116yescomplemented
269C2×C4×C13C23×C414yes—
270C2×C4×C13C23×C414yes—
271C2×C4×C13C22×D414yes—
272C2×C4×C13C2×#4114yes—
273C22⋊D13C2×C4⋊C4164yescomplemented
274C2×Dic13—28no—
275C2×Dic13—28no—
276C2×Dic13—216no—
277C2×Dic13—24no—
278C2×Dic13—22no—
279C2×Dic13—22no—
280C2×Dic13—22no—
281C2×Dic13—24no—
282C2×Dic13—22no—
283C2×Dic13—24no—
284C2×Dic13—24no—
285C2×Dic13—24no—
286C2×Dic13—432no—
287C2×Dic13—48no—
288C2×Dic13C2×C4⋊C4116yescomplemented
289C2×Dic13C23×C414yes—
290C2×Dic13C23×C414yes—
291C2×Dic13C23×C414yes—
292C2×Dic13C22×D418yes—
293C2×Dic13C22×D414yes—
294C2×Dic13C22×Q814yes—
295C4×D13—232no—
296C4×D13—432no—
297C23×D4—131no—
298C24×C4—131no—
299C24×C4—132no—
300C24×C4—132no—
301C24×C4C2×D1311yescharacteristic
302C2×C4×D4—1316no—
303C2×C4×D4—138no—
304C2×C4×D4—1316no—
305C2×C4×D4—2616no—
306C22×C4⋊C4—131no—
307C22×C4⋊C4—131no—
308C22×C4⋊C4—138no—
309C22×C4⋊C4—132no—
310C22×C4⋊C4—132no—
311C22×C4⋊C4—131no—
312C22×C4⋊C4—132no—
313C22×C4⋊C4—132no—
314C22×C4⋊C4—138no—
315C22×C4⋊C4—268no—
316C22×C4⋊C4—268no—
317C22×C4⋊C4C2×D1311yescharacteristic
318C22×C4⋊C4C2×D1311yescharacteristic
319C22×C22⋊C4—131no—
320C22×C22⋊C4—131no—
321C22×C22⋊C4—132no—
322C22×C22⋊C4C2×D1312yes—
323C22×C42—131no—
324C22×C42—132no—
325#389—1316no—
326#385—1316no—
327#385—1316no—
328#384—138no—
329#380—138no—
330#380C2×D1318yescomplemented
331C4×C4⋊C4—138no—
332C2×#95—132no—
333C2×#95—132no—
334C2×#95C2×D1312yes—
335C22×C13—232no—
336C22×C13—24no—
337C22×C13—24no—
338C22×C13—24no—
339C22×C13—24no—
340C22×C13—24no—
341C22×C13—24no—
342C22×C13C22×C4⋊C414yes—
343C22×C13C22×C4⋊C418yescomplemented
344C22×C13C2×C4×D414yes—
345C22×C13#52014yes—
346C22×C13D4214yes—
347C22×C13#54714yes—
348C22×C13D4×Q814yes—
349C22×C13#55414yes—
350C22×C13C24×C411yescharacteristic
351C22×C13C23×D411yescharacteristic
352C22×C13C23×D411yescharacteristic
353C22×C13C23×Q811yescharacteristic
354C22×C13C22×#4111yescharacteristic
355C22×C13C2×H(5,𝔽2)11yescharacteristic
356C22×C13C2×2−1+411yescharacteristic
357C2×D13—232no—
358C2×D13—24no—
359C2×D13—24no—
360C2×D13—24no—
361C2×D13—24no—
362C2×D13—24no—
363C2×D13—24no—
364C2×D13C22×C4⋊C418yescomplemented
365C4×C13—24no—
366C4×C13—44no—
367C4×C13—44no—
368C4×C13C2×C4×D418yescomplemented
369Dic13—24no—
370Dic13—24no—
371Dic13—28no—
372Dic13—44no—
373Dic13C22×C4⋊C418yescomplemented
374C25—131no—
375C25C22×D1311yescharacteristic
376C22×D4—138no—
377C22×D4—138no—
378C22×D4—138no—
379C22×D4—134no—
380C23×C4—24no—
381C23×C4—24no—
382C23×C4—131no—
383C23×C4—131no—
384C23×C4—131no—
385C23×C4—132no—
386C23×C4—138no—
387C23×C4—134no—
388C23×C4—132no—
389C23×C4—138no—
390C23×C4—138no—
391C23×C4—268no—
392C23×C4—268no—
393C23×C4—268no—
394C23×C4—264no—
395C23×C4—264no—
396C23×C4—268no—
397C23×C4—524no—
398C23×C4—524no—
399C23×C4C4×D1318yescomplemented
400C23×C4C22×D1312yes—
401C23×C4C22×D1312yes—
402C23×C4C22×D1311yescharacteristic
403C23×C4C22×D1314yes—
404C23×C4C22×D1311yescharacteristic
405C4×D4—1364no—
406C4×D4—2664no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—138no—
410C2×C4⋊C4—138no—
411C2×C4⋊C4—134no—
412C2×C4⋊C4—134no—
413C2×C4⋊C4—138no—
414C2×C4⋊C4—134no—
415C2×C4⋊C4—138no—
416C2×C4⋊C4—138no—
417C2×C4⋊C4—138no—
418C2×C4⋊C4—2632no—
419C2×C4⋊C4—2632no—
420C2×C4⋊C4—268no—
421C2×C4⋊C4—268no—
422C2×C4⋊C4—268no—
423C2×C4⋊C4—264no—
424C2×C4⋊C4—524no—
425C2×C4⋊C4C22×D1314yes—
426C2×C4⋊C4C22×D1314yes—
427C2×C22⋊C4—28no—
428C2×C22⋊C4—138no—
429C2×C22⋊C4—134no—
430C2×C22⋊C4—138no—
431C2×C22⋊C4—134no—
432C2×C22⋊C4—138no—
433C2×C22⋊C4—268no—
434C2×C22⋊C4C22×D1318yes—
435C2×C42—138no—
436C2×C42—134no—
437C2×C42—138no—
438C2×C42—268no—
439#95—138no—
440#95—138no—
441#95C22×D1318yes—
442C2×C13—28no—
443C2×C13D4×C4⋊C418yescomplemented
444C2×C13C23×C4⋊C411yescharacteristic
445C2×C13C22×C4×D411yescharacteristic
446C2×C13C2×#52011yescharacteristic
447C2×C13C2×D4211yescharacteristic
448C2×C13C2×#54711yescharacteristic
449C2×C13C2×D4×Q811yescharacteristic
450C2×C13C2×#55411yescharacteristic
451D13—28no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—134no—
457C24—134no—
458C24—134no—
459C24—132no—
460C24—262no—
461C24—262no—
462C24—262no—
463C24—262no—
464C24C2×C4×D1314yes—
465C24D4×D1314yes—
466C24Q8×D1314yes—
467C24C23×D1312yes—
468C24C23×D1311yescharacteristic
469C2×D4—1364no—
470C2×D4—1316no—
471C2×D4—1316no—
472C2×D4—1316no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—232no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—134no—
485C22×C4—134no—
486C22×C4—134no—
487C22×C4—132no—
488C22×C4—134no—
489C22×C4—134no—
490C22×C4—138no—
491C22×C4—132no—
492C22×C4—132no—
493C22×C4—134no—
494C22×C4—1316no—
495C22×C4—134no—
496C22×C4—2616no—
497C22×C4—2616no—
498C22×C4—2616no—
499C22×C4—264no—
500C22×C4—262no—
501C22×C4—262no—
502C22×C4—262no—
503C22×C4—264no—
504C22×C4—262no—
505C22×C4—2632no—
506C22×C4—268no—
507C22×C4—268no—
508C22×C4—264no—
509C22×C4—264no—
510C22×C4—2616no—
511C22×C4—264no—
512C22×C4—528no—
513C22×C4—5232no—
514C22×C4—528no—
515C22×C4—5232no—
516C22×C4C2×C4×D1314yes—
517C22×C4C2×C4×D1314yes—
518C22×C4C2×C4×D13116yescomplemented
519C22×C4D4×D1314yes—
520C22×C4#612914yes—
521C22×C4C23×D1314yes—
522C22×C4C23×D1314yes—
523C22×C4C23×D1312yes—
524C22×C4C23×D1312yes—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—1316no—
528C4⋊C4—1316no—
529C4⋊C4—2616no—
530C4⋊C4—2616no—
531C4⋊C4—2616no—
532C4⋊C4—268no—
533C4⋊C4—528no—
534C22⋊C4—216no—
535C22⋊C4—1316no—
536C22⋊C4—1316no—
537C22⋊C4—2616no—
538C42—1316no—
539C42—2616no—
540C13C2×D4×C4⋊C411yescharacteristic, complemented, Sylow
541C23—28no—
542C23—28no—
543C23—28no—
544C23—28no—
545C23—28no—
546C23—28no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—1316no—
552C23—134no—
553C23—134no—
554C23—134no—
555C23—268no—
556C23—268no—
557C23—268no—
558C23—268no—
559C23—268no—
560C23—268no—
561C23—262no—
562C23—262no—
563C23—262no—
564C23—262no—
565C23C4⋊C4×D13116yescomplemented
566C23C22×C4×D1314yes—
567C23C22×C4×D1312yes—
568C23C2×D4×D1314yes—
569C23C2×D4×D1312yes—
570C23C2×D4×D1312yes—
571C23C2×#612912yes—
572C23C2×Q8×D1314yes—
573C23C2×Q8×D1312yes—
574C23#8825612yes—
575C23#8825712yes—
576C23C24×D1311yescharacteristic
577D4—1364no—
578C2×C4—28no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—232no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—48no—
589C2×C4—48no—
590C2×C4—1316no—
591C2×C4—134no—
592C2×C4—134no—
593C2×C4—134no—
594C2×C4—134no—
595C2×C4—134no—
596C2×C4—138no—
597C2×C4—268no—
598C2×C4—268no—
599C2×C4—2616no—
600C2×C4—264no—
601C2×C4—262no—
602C2×C4—262no—
603C2×C4—262no—
604C2×C4—264no—
605C2×C4—262no—
606C2×C4—2632no—
607C2×C4—264no—
608C2×C4—264no—
609C2×C4—264no—
610C2×C4—5232no—
611C2×C4—5232no—
612C2×C4—528no—
613C2×C4#88135116yescomplemented
614C2×C4C22×C4×D1314yes—
615C2×C4C22×C4×D1314yes—
616C2×C4C2×D4×D1314yes—
617C2×C4C2×#612914yes—
618C22—232no—
619C22—24no—
620C22—24no—
621C22—24no—
622C22—24no—
623C22—24no—
624C22—24no—
625C22—138no—
626C22—2632no—
627C22—264no—
628C22—264no—
629C22—264no—
630C22—264no—
631C22—264no—
632C22—264no—
633C22C2×#8813514yes—
634C22C2×C4⋊C4×D1314yes—
635C22C2×C4⋊C4×D1318yescomplemented
636C22#1171922814yes—
637C22#1171931414yes—
638C22#1171931614yes—
639C22#1171933714yes—
640C22#1171934014yes—
641C22C23×C4×D1311yescharacteristic
642C22C22×D4×D1311yescharacteristic
643C22C22×D4×D1311yescharacteristic
644C22C22×#612911yescharacteristic
645C22C22×Q8×D1311yescharacteristic
646C22C2×#8825611yescharacteristic
647C22C2×#8825711yescharacteristic
648C4—24no—
649C4—44no—
650C4—44no—
651C4—138no—
652C4—264no—
653C4—268no—
654C4—264no—
655C4—524no—
656C4C2×#8813518yescomplemented
657C2—28no—
658C2—268no—
659C2#1311773218yesdirect product factor
660C2C22×C4⋊C4×D1311yescharacteristic
661C2C22×#8813511yescharacteristic
662C2C2×#1171922811yescharacteristic
663C2C2×#1171931411yescharacteristic
664C2C2×#1171931611yescharacteristic
665C2C2×#1171933711yescharacteristic
666C2C2×#1171934011yescharacteristic
subgroupG/H
centerC24C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C13×#380C2
socleC24×C13C24
prime radicalC23×C22⋊D13C22
cosocleC23×C13C25
hypercenterC2×#380D13
hypocenterC13C2×D4×C4⋊C4
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
3. C23×C4⋊Dic13C2semidirect
4. C22×C4⋊C4×D13C2semidirect
5. #13117732C2direct (N × H)
6. C2×#11718308C2semidirect
7. C2×#11718329C2semidirect
8. C2×#11718607C2semidirect
9. C2×#11718637C2semidirect
10. C2×#11718648C2semidirect
11. C2×C4⋊C4×Dic13C2semidirect
12. C2×C13×#380C2semidirect
22. C2×C4×C22⋊D13C4semidirect
30. C22×C4⋊Dic13C22semidirect
38. C2×C4⋊C4×D13C22semidirect
41. C13×#380C22semidirect
45. #11718648C22semidirect
46. #11718637C22semidirect
47. C4⋊C4×Dic13C22semidirect
48. #11718607C22semidirect
49. #11718329C22semidirect
50. #11718308C22semidirect
55. C23×C4×C13C2×C4semidirect
79. C22×C4×D13C2×C4semidirect
88. C2×C22⋊Dic13C2×C4semidirect
90. C4×C22⋊D13C2×C4semidirect
92. C2×#6103C2×C4semidirect
98. C2×C4⋊Dic13D4semidirect
105. C2×#6101C2×C4semidirect
111. C2×C4×Dic13C2×C4semidirect
150. C22×C4×C13C22×C4semidirect
157. C2×C22⋊D13C4⋊C4semidirect
192. C2×C4×D13C22×C4semidirect
196. C22⋊Dic13C22×C4semidirect
198. #6103C22×C4semidirect
201. C4⋊Dic13C2×D4semidirect
205. #6101C22×C4semidirect
207. C4×Dic13C22×C4semidirect
218. C2×#380D13semidirect
230. C23×C13C2×C4⋊C4semidirect
252. C22×D13C2×C4⋊C4semidirect
268. C2×C4×C13C4×D4semidirect
273. C22⋊D13C2×C4⋊C4semidirect
288. C2×Dic13C2×C4⋊C4semidirect
330. #380C2×D13semidirect
343. C22×C13C22×C4⋊C4semidirect
364. C2×D13C22×C4⋊C4semidirect
368. C4×C13C2×C4×D4semidirect
373. Dic13C22×C4⋊C4semidirect
399. C23×C4C4×D13semidirect
443. C2×C13D4×C4⋊C4semidirect
518. C22×C4C2×C4×D13semidirect
540. C13C2×D4×C4⋊C4semidirect
565. C23C4⋊C4×D13semidirect
613. C2×C4#88135semidirect
635. C22C2×C4⋊C4×D13semidirect
656. C4C2×#88135semidirect
659. C2#13117732direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D132
C22×#881352
C23×C4⋊Dic132
C22×C4⋊C4×D132
#131177322
C2×#117183082
C2×#117183292
C2×#117186072
C2×#117186372
C2×#117186482
C2×C4⋊C4×Dic132
C2×C13×#3802
C2×D4×C4⋊C413