Finite Group Databasebeta

← C4×#11719539 #16022770

Subgroups — C4×#11719539 #16022770

Order 3328.

3420 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719539C211yesmaximal, characteristic
2C2×C4×#6131C211yesmaximal, characteristic, complemented
3#13117898C213yesmaximal, complemented
4#13117874C213yesmaximal, complemented
5#13117870C213yesmaximal, complemented
6#13117786C213yesmaximal, complemented
7Q8×#6101C211yesmaximal, characteristic, complemented
8#13117677C211yesmaximal, characteristic, complemented
9#13117674C211yesmaximal, characteristic, complemented
10C4×#88194C213yesmaximal, complemented
11C4×#88184C213yesmaximal, complemented
12C4×#88192C213yesmaximal, complemented
13C4×Q8×Dic13C211yesmaximal, characteristic, complemented
14C42×C22⋊D13C213yesmaximal, complemented
15C2×C4×C13×#41C211yesmaximal, characteristic, complemented
16C22×C13×#41C2211yescharacteristic
17C22×#6131C2211yescharacteristic
18C4×C13×#41—28no—
19C2×C4×Q8×C13C2211yescharacteristic
20C2×C4×Q8×C13C2211yescharacteristic
21C2×C4×D4×C13C2213yes—
22C2×C4×D4×C13C2213yes—
23C2×C13×#117C2213yes—
24C22×C42×C13C2213yes—
25#11719539C4116yesdirect product factor
26C2×Q8×Dic13C2211yescharacteristic
27C2×Q8×Dic13C2211yescharacteristic
28C2×Q8×Dic13C2211yescharacteristic
29C2×#88194C2213yes—
30C2×#88192C2213yes—
31C2×#88184C2213yes—
32C2×C4×C22⋊D13C2213yes—
33C2×C4×C22⋊D13C2213yes—
34C2×C4×C22⋊D13C2216yes—
35C2×C4×C22⋊D13C2213yes—
36C4×#6131—28no—
37C2×#88147C2213yes—
38C2×#88146C2213yes—
39C2×C4×D52C2213yes—
40C2×C42×D13C2213yes—
41#11718882C2213yes—
42#11718882C2213yes—
43#11718874C2216yes—
44#11718873C2213yes—
45C4×C22⋊Dic13C2213yes—
46C4×C22⋊Dic13C2213yes—
47C4×C22⋊Dic13C2213yes—
48#11718649C2213yes—
49#11718648C2213yes—
50#11718637C2213yes—
51C4⋊C4×Dic13C2213yes—
52C4⋊C4×Dic13C2213yes—
53#11718634C2213yes—
54#11718618C2216yes—
55#11718618C2216yes—
56#11718617C2216yes—
57#11718605C2216yes—
58#11718601C2216yes—
59#11718600C2213yes—
60C4×#6103C2213yes—
61C4×#6103C2213yes—
62C4×#6103C2213yes—
63C4×C4⋊Dic13C2213yes—
64C4×#6101C2213yes—
65C4×#6101C2213yes—
66C4×#6101C2211yescharacteristic
67C42×Dic13C2213yes—
68#11718589C2213yes—
69C2×C13×#41—24no—
70C2×C13×#41—24no—
71C2×C13×#41C2×C418yescomplemented
72C22×Q8×C13C2311yescharacteristic
73C22×D4×C13C2313yes—
74C23×C4×C13C2313yes—
75C23×C4×C13C2313yes—
76C23×C4×C13C2313yes—
77C22×C22⋊D13C2313yes—
78C22×C22⋊D13C2316yes—
79C2×#6131—24no—
80C2×#6131—24no—
81C2×#6131C2×C418yescomplemented
82C22×D52C2313yes—
83C22×C4×D13C2313yes—
84C22×C4×D13C2313yes—
85C22×C4×D13C2313yes—
86C4×Q8×C13—24no—
87C4×Q8×C13D418yescomplemented
88C4×D4×C13—212no—
89C4×D4×C13—212no—
90C13×#117—212no—
91C2×C13×C4⋊C4C2313yes—
92C2×C13×C4⋊C4C2313yes—
93C2×C13×C22⋊C4C2316yes—
94C2×C42×C13—212no—
95C2×C42×C13C2311yescharacteristic
96C2×C42×C13C2313yes—
97C2×C42×C13C2313yes—
98C2×C42×C13C2313yes—
99C2×C22⋊Dic13C2313yes—
100C2×C22⋊Dic13C2313yes—
101C2×C22⋊Dic13C2316yes—
102C2×C22⋊Dic13C2313yes—
103Q8×Dic13—24no—
104Q8×Dic13—24no—
105Q8×Dic13C2×C418yescomplemented
106#88194C2×C4124yescomplemented
107#88192C2×C4124yescomplemented
108#88184C2×C4124yescomplemented
109C4×C22⋊D13—212no—
110C4×C22⋊D13—212no—
111C4×C22⋊D13—412no—
112C4×C22⋊D13C2×C4124yescomplemented
113C2×#6103C2316yes—
114C2×#6103C2313yes—
115C2×#6103C2313yes—
116C2×#6103C2316yes—
117C2×#6103C2313yes—
118C2×C4⋊Dic13C2313yes—
119C2×C4⋊Dic13C2313yes—
120C2×C4⋊Dic13C2313yes—
121C2×#6101C2313yes—
122C2×#6101C2316yes—
123C2×#6101C2311yescharacteristic
124C2×#6101C2311yescharacteristic
125C2×C4×Dic13C2311yescharacteristic
126C2×C4×Dic13C2313yes—
127C2×C4×Dic13C2313yes—
128C2×C4×Dic13C2313yes—
129C2×C4×Dic13C2313yes—
130C2×C4×Dic13C2313yes—
131C2×C4×Dic13C2313yes—
132C2×C4×Dic13C2313yes—
133C2×C4×Dic13C2311yescharacteristic
134#88147—212no—
135#88146—212no—
136C4×D52—212no—
137C42×D13—212no—
138#88071C2313yes—
139#88071C2311yescharacteristic
140#88071C2311yescharacteristic
141#88071C2313yes—
142#88071C2313yes—
143#88071C2313yes—
144#88071C2316yes—
145C4×#550—131nomaximal, Sylow
146C24×C13C2413yes—
147C23×D13C2413yes—
148C13×#41—232no—
149C2×Q8×C13C22×C414yes—
150C2×Q8×C13C2×D414yes—
151C2×Q8×C13#4114yes—
152C2×D4×C13—26no—
153C2×D4×C13—26no—
154C2×D4×C13C22×C4112yes—
155C22×C4×C13—26no—
156C22×C4×C13—26no—
157C22×C4×C13—26no—
158C22×C4×C13—26no—
159C22×C4×C13—26no—
160C22×C4×C13—26no—
161C22×C4×C13—26no—
162C22×C4×C13—43no—
163C22×C4×C13C22×C4112yes—
164C22×C4×C13C2413yes—
165C22×C4×C13C2411yescharacteristic
166C22×C4×C13C2413yes—
167C22×C4×C13C2411yescharacteristic
168C22×C4×C13C2413yes—
169C22×C4×C13C2411yescharacteristic
170C2×C22⋊D13—26no—
171C2×C22⋊D13—26no—
172C2×C22⋊D13—46no—
173C2×C22⋊D13—46no—
174C2×C22⋊D13C22×C4112yes—
175C2×C22⋊D13C22×C4124yes—
176C22×Dic13C2413yes—
177C22×Dic13C2413yes—
178C22×Dic13C2411yescharacteristic
179C22×Dic13C2413yes—
180C22×Dic13C2411yescharacteristic
181C22×Dic13C2411yescharacteristic
182C22×Dic13C2411yescharacteristic
183#6131—232no—
184C2×D52—26no—
185C2×D52—26no—
186C2×D52C22×C4112yes—
187C2×C4×D13—26no—
188C2×C4×D13—26no—
189C2×C4×D13—26no—
190C2×C4×D13—26no—
191C2×C4×D13—26no—
192C2×C4×D13—26no—
193C2×C4×D13—26no—
194C2×C4×D13—43no—
195C2×C4×D13C22×C4112yes—
196C13×C4⋊C4—26no—
197C13×C4⋊C4C2×D4112yes—
198C13×C22⋊C4—212no—
199C42×C13—22no—
200C42×C13—26no—
201C42×C13—26no—
202C42×C13C2×D4112yes—
203C22⋊Dic13—26no—
204C22⋊Dic13—26no—
205C22⋊Dic13—46no—
206C22⋊Dic13C22×C4112yes—
207#6103—212no—
208#6103—26no—
209#6103—26no—
210#6103—46no—
211#6103C22×C4112yes—
212C4⋊Dic13—26no—
213C4⋊Dic13—26no—
214C4⋊Dic13C22×C4112yes—
215#6101—26no—
216#6101—46no—
217#6101C22×C414yes—
218#6101#4114yescomplemented
219C4×Dic13—22no—
220C4×Dic13—26no—
221C4×Dic13—26no—
222C4×Dic13—26no—
223C4×Dic13—26no—
224C4×Dic13—26no—
225C4×Dic13—43no—
226C4×Dic13C22×C4112yes—
227C4×Dic13#4114yescomplemented
228C2×#550—131no—
229C2×C4×#41—131no—
230C2×C4×#41D1311yescharacteristic, complemented
231#2366—133no—
232#2363—133no—
233#2363—133no—
234#2354—133no—
235Q8×C4⋊C4—131no—
236#2341—131no—
237#2341—131no—
238C4×#127—133no—
239C4×#121—133no—
240C4×#121—133no—
241C42×Q8—131no—
242C42×D4—133no—
243C23×C13—23no—
244C23×C13—23no—
245C23×C13—23no—
246C23×C13—23no—
247C23×C13—23no—
248C23×C13—23no—
249C23×C13C23×C416yes—
250C23×C13C2511yescharacteristic
251C22×D13—23no—
252C22×D13—23no—
253C22×D13—23no—
254C22×D13—23no—
255C22×D13—23no—
256C22×D13—23no—
257C22×D13C23×C416yes—
258Q8×C13C4×D4116yescomplemented
259D4×C13—224no—
260C2×C4×C13—21no—
261C2×C4×C13—21no—
262C2×C4×C13—23no—
263C2×C4×C13—21no—
264C2×C4×C13—23no—
265C2×C4×C13—21no—
266C2×C4×C13—224no—
267C2×C4×C13—23no—
268C2×C4×C13—23no—
269C2×C4×C13—23no—
270C2×C4×C13—412no—
271C2×C4×C13—412no—
272C2×C4×C13C23×C412yes—
273C2×C4×C13C23×C416yes—
274C2×C4×C13C22×D416yes—
275C2×C4×C13C22×D416yes—
276C2×C4×C13C22×D412yes—
277C2×C4×C13C2×#4112yes—
278C2×C4×C13C2×#4116yes—
279C2×C4×C13C2×#4112yes—
280C2×C4×C13H(5,𝔽2)12yes—
281C22⋊D13—224no—
282C22⋊D13—424no—
283C2×Dic13—21no—
284C2×Dic13—21no—
285C2×Dic13—21no—
286C2×Dic13—21no—
287C2×Dic13—23no—
288C2×Dic13—21no—
289C2×Dic13—23no—
290C2×Dic13—21no—
291C2×Dic13—23no—
292C2×Dic13—23no—
293C2×Dic13—23no—
294C2×Dic13—23no—
295C2×Dic13—23no—
296C2×Dic13—23no—
297C2×Dic13C23×C416yes—
298C2×Dic13C23×C412yes—
299C2×Dic13C23×C412yes—
300C2×Dic13C2×#4112yes—
301C2×Dic13C2×#4112yes—
302C2×Dic13C2×#4112yes—
303C2×Dic13C2×#4112yes—
304D52—224no—
305C4×D13—224no—
306C4×D13—412no—
307C4×D13—412no—
308C22×#41—131no—
309C22×#41C2×D1311yescharacteristic
310#550—1316no—
311C2×#127—133no—
312C2×#121—133no—
313C2×#121—133no—
314C4×#41—28no—
315C4×#41—268no—
316C2×C4×Q8—131no—
317C2×C4×Q8—131no—
318C2×C4×Q8—131no—
319C2×C4×Q8C2×D1311yescharacteristic
320C2×C4×Q8C2×D1311yescharacteristic
321C2×C4×D4—133no—
322C2×C4×D4—133no—
323C2×C4×D4—133no—
324C2×C4×D4—136no—
325C2×C4×D4—133no—
326C2×C4×D4—133no—
327C2×C4×D4C2×D1313yes—
328C2×C4×D4C2×D1313yes—
329C2×#117—133no—
330C2×#117C2×D1313yes—
331C22×C42—133no—
332C22×C42C2×D1313yes—
333#390—133no—
334#390—133no—
335#390—133no—
336#390—136no—
337#390—136no—
338#390—133no—
339#389—133no—
340#389—133no—
341#388—136no—
342#388—136no—
343#386—136no—
344#386—136no—
345#384—133no—
346#380—133no—
347#380—133no—
348C4×C4⋊C4—133no—
349C4×C4⋊C4—133no—
350C4×C4⋊C4—133no—
351C4×C4⋊C4—133no—
352C4×C4⋊C4—131no—
353C4×C4⋊C4—133no—
354C4×C22⋊C4—133no—
355C4×C22⋊C4—133no—
356C4×C22⋊C4—133no—
357C4×C22⋊C4—133no—
358C4×C22⋊C4—133no—
359C4×C22⋊C4—133no—
360C43—133no—
361C22×C13—26no—
362C22×C13—26no—
363C22×C13—26no—
364C22×C13—43no—
365C22×C13—43no—
366C22×C13—43no—
367C22×C13—43no—
368C22×C13C24×C411yescharacteristic
369C22×C13C23×D411yescharacteristic
370C22×C13C22×#4111yescharacteristic
371C22×C13C22×#4111yescharacteristic
372C22×C13C22×#4111yescharacteristic
373C22×C13C2×H(5,𝔽2)11yescharacteristic
374C22×C13#58511yescharacteristic
375C2×D13—26no—
376C2×D13—26no—
377C2×D13—26no—
378C2×D13—43no—
379C2×D13—43no—
380C2×D13—43no—
381C2×D13—43no—
382C4×C13—22no—
383C4×C13—26no—
384C4×C13—22no—
385C4×C13—43no—
386C4×C13C2×C4×D4112yes—
387C4×C13#55014yescomplemented
388Dic13—22no—
389Dic13—26no—
390Dic13—22no—
391Dic13—22no—
392Dic13—43no—
393Dic13—43no—
394Dic13C4×#4114yescomplemented
395C2×#41—24no—
396C2×#41—24no—
397C2×#41—138no—
398C2×#41—264no—
399C2×#41—264no—
400C2×#41C4×D1318yescomplemented
401C22×Q8C22×D1311yescharacteristic
402C22×D4—133no—
403C22×D4—136no—
404C22×D4—133no—
405C22×D4C22×D1313yes—
406C23×C4—133no—
407C23×C4—133no—
408C23×C4—133no—
409C23×C4C22×D1313yes—
410C23×C4C22×D1313yes—
411C23×C4C22×D1313yes—
412#127—1324no—
413#121—1324no—
414#121—1324no—
415C4×Q8—24no—
416C4×Q8—138no—
417C4×Q8—264no—
418C4×Q8—264no—
419C4×Q8C22⋊D1318yescomplemented
420C4×D4—212no—
421C4×D4—212no—
422C4×D4—1324no—
423C4×D4—2612no—
424C4×D4—2612no—
425C4×D4—2612no—
426C4×D4—2612no—
427C4×D4—5212no—
428#117—212no—
429#117—2612no—
430C2×C4⋊C4—131no—
431C2×C4⋊C4—131no—
432C2×C4⋊C4—133no—
433C2×C4⋊C4—133no—
434C2×C4⋊C4—133no—
435C2×C4⋊C4—133no—
436C2×C4⋊C4—136no—
437C2×C4⋊C4C22×D1313yes—
438C2×C4⋊C4C22×D1313yes—
439C2×C22⋊C4—133no—
440C2×C22⋊C4—133no—
441C2×C22⋊C4—133no—
442C2×C22⋊C4—133no—
443C2×C22⋊C4—136no—
444C2×C22⋊C4—133no—
445C2×C22⋊C4—133no—
446C2×C22⋊C4—136no—
447C2×C22⋊C4—136no—
448C2×C22⋊C4C22×D1316yes—
449C2×C42—212no—
450C2×C42—133no—
451C2×C42—131no—
452C2×C42—133no—
453C2×C42—133no—
454C2×C42—133no—
455C2×C42—133no—
456C2×C42—133no—
457C2×C42—131no—
458C2×C42—133no—
459C2×C42—2612no—
460C2×C42C22×D1313yes—
461C2×C42C22×D1313yes—
462C2×C42C22×D1311yescharacteristic
463C2×C42C22×D1313yes—
464#95—131no—
465#95—131no—
466#95—133no—
467#95—133no—
468#95—133no—
469#95—133no—
470#95—136no—
471C2×C13—46no—
472C2×C13C22×C4×D411yescharacteristic
473C2×C13C2×C4×#4111yescharacteristic
474C2×C13C4×H(5,𝔽2)11yescharacteristic
475C2×C13C2×#55011yescharacteristic
476C2×C13D4×#4111yescharacteristic
477C2×C13#348011yescharacteristic
478C2×C13#348311yescharacteristic
479D13—46no—
480C24—133no—
481C24C23×D1313yes—
482#41—232no—
483#41—2632no—
484C2×Q8C2×C4×D1314yes—
485C2×Q8#612714yes—
486C2×Q8C2×C22⋊D1314yes—
487C2×D4—26no—
488C2×D4—26no—
489C2×D4—1312no—
490C2×D4—1324no—
491C2×D4—1312no—
492C2×D4—266no—
493C2×D4—266no—
494C2×D4—266no—
495C2×D4—266no—
496C2×D4—526no—
497C2×D4—526no—
498C2×D4C2×C4×D13112yes—
499C22×C4—26no—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—43no—
507C22×C4—131no—
508C22×C4—131no—
509C22×C4—131no—
510C22×C4—133no—
511C22×C4—131no—
512C22×C4—1312no—
513C22×C4—133no—
514C22×C4—133no—
515C22×C4—266no—
516C22×C4—266no—
517C22×C4—266no—
518C22×C4—266no—
519C22×C4—266no—
520C22×C4—266no—
521C22×C4—266no—
522C22×C4—523no—
523C22×C4C2×C4×D13112yes—
524C22×C4C23×D1313yes—
525C22×C4C23×D1311yescharacteristic
526C22×C4C23×D1311yescharacteristic
527C22×C4C23×D1313yes—
528C22×C4C23×D1313yes—
529C22×C4C23×D1311yescharacteristic
530C4⋊C4—26no—
531C4⋊C4—134no—
532C4⋊C4—1312no—
533C4⋊C4—134no—
534C4⋊C4—266no—
535C4⋊C4—266no—
536C4⋊C4—266no—
537C4⋊C4—526no—
538C4⋊C4C2×C22⋊D13112yes—
539C22⋊C4—212no—
540C22⋊C4—1312no—
541C22⋊C4—1312no—
542C22⋊C4—266no—
543C22⋊C4—266no—
544C22⋊C4—266no—
545C22⋊C4—266no—
546C22⋊C4—2612no—
547C22⋊C4—526no—
548C22⋊C4—526no—
549C42—22no—
550C42—26no—
551C42—26no—
552C42—1312no—
553C42—134no—
554C42—266no—
555C42—266no—
556C42—266no—
557C42—262no—
558C42—266no—
559C42—266no—
560C42—523no—
561C42C2×C22⋊D13112yes—
562C13C4×#55011yescharacteristic, complemented, Sylow
563C23—23no—
564C23—23no—
565C23—23no—
566C23—23no—
567C23—23no—
568C23—23no—
569C23—136no—
570C23—263no—
571C23—263no—
572C23—263no—
573C23—263no—
574C23—263no—
575C23—263no—
576C23C22×C4×D1316yes—
577C23C24×D1311yescharacteristic
578Q8C4×C22⋊D13116yescomplemented
579D4—224no—
580D4—2624no—
581D4—2624no—
582D4—5224no—
583C2×C4—21no—
584C2×C4—23no—
585C2×C4—23no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—412no—
594C2×C4—412no—
595C2×C4—132no—
596C2×C4—132no—
597C2×C4—132no—
598C2×C4—136no—
599C2×C4—132no—
600C2×C4—132no—
601C2×C4—132no—
602C2×C4—261no—
603C2×C4—261no—
604C2×C4—263no—
605C2×C4—261no—
606C2×C4—263no—
607C2×C4—261no—
608C2×C4—261no—
609C2×C4—261no—
610C2×C4—2624no—
611C2×C4—263no—
612C2×C4—263no—
613C2×C4—263no—
614C2×C4—263no—
615C2×C4—263no—
616C2×C4—263no—
617C2×C4—5212no—
618C2×C4—5212no—
619C2×C4C22×C4×D1312yes—
620C2×C4C22×C4×D1316yes—
621C2×C4C2×#612716yes—
622C2×C4#41×D1312yes—
623C2×C4#41×D1312yes—
624C2×C4#8825612yes—
625C2×C4C22×C22⋊D1316yes—
626C2×C4C22×C22⋊D1316yes—
627C2×C4C22×C22⋊D1312yes—
628C22—26no—
629C22—26no—
630C22—26no—
631C22—43no—
632C22—43no—
633C22—43no—
634C22—43no—
635C22—266no—
636C22—266no—
637C22—266no—
638C22—523no—
639C22—523no—
640C22—523no—
641C22—523no—
642C22C23×C4×D1311yescharacteristic
643C22C22×#612711yescharacteristic
644C22C2×#41×D1311yescharacteristic
645C22C2×#41×D1311yescharacteristic
646C22C2×#8825611yescharacteristic
647C22#1171964811yescharacteristic
648C22C23×C22⋊D1311yescharacteristic
649C4—22no—
650C4—22no—
651C4—26no—
652C4—43no—
653C4—134no—
654C4—262no—
655C4—266no—
656C4—262no—
657C4—262no—
658C4—523no—
659C4—523no—
660C4C2×C4×C22⋊D13112yes—
661C4#1171953914yesdirect product factor
662C2—46no—
663C2—526no—
664C2C22×C4×C22⋊D1311yescharacteristic
665C2C4×#41×D1311yescharacteristic
666C2C4×#8825611yescharacteristic
667C2C2×#1171953911yescharacteristic
668C2#41×C22⋊D1311yescharacteristic
669C2#1312843411yescharacteristic
670C2#1312846211yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C4×C13×#41C2
socle, cosocleC23×C13C25
prime radicalC2×#11719539C2
hypercenterC2×C4×#41D13
hypocenterC13C4×#550
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C2×C4×#6131C2semidirect
3. #13117898C2semidirect
4. #13117874C2semidirect
5. #13117870C2semidirect
6. #13117786C2semidirect
7. Q8×#6101C2semidirect
8. #13117677C2semidirect
9. #13117674C2semidirect
10. C4×#88194C2semidirect
11. C4×#88184C2semidirect
12. C4×#88192C2semidirect
13. C4×Q8×Dic13C2semidirect
14. C42×C22⋊D13C2semidirect
15. C2×C4×C13×#41C2semidirect
25. #11719539C4direct (N × H)
71. C2×C13×#41C2×C4semidirect
81. C2×#6131C2×C4semidirect
87. C4×Q8×C13D4semidirect
105. Q8×Dic13C2×C4semidirect
106. #88194C2×C4semidirect
107. #88192C2×C4semidirect
108. #88184C2×C4semidirect
112. C4×C22⋊D13C2×C4semidirect
218. #6101#41semidirect
227. C4×Dic13#41semidirect
230. C2×C4×#41D13semidirect
258. Q8×C13C4×D4semidirect
387. C4×C13#550semidirect
394. Dic13C4×#41semidirect
400. C2×#41C4×D13semidirect
419. C4×Q8C22⋊D13semidirect
562. C13C4×#550semidirect
578. Q8C4×C22⋊D13semidirect
661. C4#11719539direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117195392
C2×C4×#61312
#131178982
#131178742
#131178702
#131177862
Q8×#61012
#131176772
#131176742
C4×#881942
C4×#881842
C4×#881922
C4×Q8×Dic132
C42×C22⋊D132
C2×C4×C13×#412
C4×#55013