Finite Group Databasebeta

← C2×#389×D67 #31014174

Subgroups — C2×#389×D67 #31014174

Order 17152.

4894 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D67C212yesmaximal
2C22×C4⋊C4×D67C211yesmaximal, characteristic
3C22×C4⋊C4×D67C211yesmaximal, characteristic
4C22×C42×D67C211yesmaximal, characteristic
5C2×#16863295C211yesmaximal, characteristic, complemented
6C2×#16863294C211yesmaximal, characteristic, complemented
7C2×#16863293C212yesmaximal, complemented
8C2×#16863292C211yesmaximal, characteristic, complemented
9C2×#16863291C212yesmaximal, complemented
10#389×D67C2116yesmaximal, direct product factor
11C2×#95×D67C212yesmaximal
12C2×#389×C67C211yesmaximal, characteristic, complemented
13C23×C4×D67C2212yes—
14C23×C4×D67C2212yes—
15C23×C4×D67C2211yescharacteristic
16C23×C4×D67C2211yescharacteristic
17C23×C4×D67C2211yescharacteristic
18C22×C4⋊Dic67C2212yes—
19C22×C4⋊Dic67C2211yescharacteristic
20C22×C4⋊Dic67C2211yescharacteristic
21C22×Dic67⋊C4C2212yes—
22C22×Dic67⋊C4C2212yes—
23C22×Dic67⋊C4C2212yes—
24C22×Dic67⋊C4C2212yes—
25C2×C4⋊C4×D67—28no—
26C2×C4⋊C4×D67—216no—
27C2×C4⋊C4×D67C4116yescomplemented
28C2×C4⋊C4×D67C22116yes—
29C2×C4⋊C4×D67C2218yes—
30C2×C4⋊C4×D67C2218yes—
31C22×C4×Dic67C2211yescharacteristic
32C22×C4×Dic67C2211yescharacteristic
33C22×C4×Dic67C2211yescharacteristic
34C2×C42×D67—28no—
35C2×C42×D67C2218yes—
36#16863295C2218yescomplemented
37#16863294C2218yescomplemented
38#16863293C22116yescomplemented
39#16863292C2218yescomplemented
40#16863291C22116yescomplemented
41C2×C67⋊#95C2212yes—
42C2×C67⋊#95C2212yes—
43C2×C67⋊#95C2212yes—
44#95×D67C22116yes—
45C22×C4⋊C4×C67C2212yes—
46C22×C4⋊C4×C67C2211yescharacteristic
47C22×C4⋊C4×C67C2211yescharacteristic
48C22×C42×C67C2211yescharacteristic
49#389×C67C2218yescomplemented
50C2×#95×C67C2212yes—
51C24×D67C2311yescharacteristic
52C23×Dic67C2312yes—
53C23×Dic67C2312yes—
54C23×Dic67C2311yescharacteristic
55C23×Dic67C2311yescharacteristic
56C23×Dic67C2311yescharacteristic
57C22×C4×D67—24no—
58C22×C4×D67—24no—
59C22×C4×D67—28no—
60C22×C4×D67—28no—
61C22×C4×D67—24no—
62C22×C4×D67—24no—
63C22×C4×D67—28no—
64C22×C4×D67—28no—
65C22×C4×D67—28no—
66C22×C4×D67C2×C4116yes—
67C22×C4×D67C2×C418yes—
68C22×C4×D67D418yes—
69C22×C4×D67D418yes—
70C22×C4×D67Q818yes—
71C22×C4×D67Q818yes—
72C22×C4×D67C2318yes—
73C22×C4×D67C2318yes—
74C22×C4×D67C2314yes—
75C22×C4×D67C2314yes—
76C22×C4×D67C2314yes—
77C2×C4⋊Dic67—28no—
78C2×C4⋊Dic67—24no—
79C2×C4⋊Dic67C2×C418yescomplemented
80C2×C4⋊Dic67C2318yes—
81C2×C4⋊Dic67C2314yes—
82C2×C4⋊Dic67C2314yes—
83C2×Dic67⋊C4—28no—
84C2×Dic67⋊C4—28no—
85C2×Dic67⋊C4—28no—
86C2×Dic67⋊C4C2×C4116yescomplemented
87C2×Dic67⋊C4C2318yes—
88C2×Dic67⋊C4C2318yes—
89C2×Dic67⋊C4C2318yes—
90C2×Dic67⋊C4C2318yes—
91C4⋊C4×D67—264no—
92C4⋊C4×D67—232no—
93C4⋊C4×D67C2×C4164yescomplemented
94C2×C4×Dic67—24no—
95C2×C4×Dic67—24no—
96C2×C4×Dic67—24no—
97C2×C4×Dic67C2314yes—
98C2×C4×Dic67C2314yes—
99C2×C4×Dic67C2314yes—
100C42×D67—232no—
101C67⋊#95C2318yes—
102C67⋊#95C2318yes—
103C67⋊#95C2318yes—
104C23×C4×C67C2312yes—
105C23×C4×C67C2312yes—
106C23×C4×C67C2311yescharacteristic
107C23×C4×C67C2311yescharacteristic
108C23×C4×C67C2311yescharacteristic
109C2×C4⋊C4×C67—28no—
110C2×C4⋊C4×C67—24no—
111C2×C4⋊C4×C67C2×C418yescomplemented
112C2×C4⋊C4×C67C2318yes—
113C2×C4⋊C4×C67C2314yes—
114C2×C4⋊C4×C67C2314yes—
115C2×C42×C67—24no—
116C2×C42×C67C2314yes—
117#95×C67C2318yes—
118C23×D67C22×C414yes—
119C23×D67C2×D414yes—
120C23×D67C2×D414yes—
121C23×D67C2×Q814yes—
122C23×D67C2×Q814yes—
123C23×D67#4114yes—
124C23×D67#4114yes—
125C23×D67C2412yes—
126C22×Dic67—22no—
127C22×Dic67—22no—
128C22×Dic67—24no—
129C22×Dic67—24no—
130C22×Dic67—22no—
131C22×Dic67—22no—
132C22×Dic67—24no—
133C22×Dic67—24no—
134C22×Dic67—24no—
135C22×Dic67C22×C418yes—
136C22×Dic67C22×C414yes—
137C22×Dic67C2×D414yes—
138C22×Dic67C2×D414yes—
139C22×Dic67C2×Q814yes—
140C22×Dic67C2×Q814yes—
141C22×Dic67C2414yes—
142C22×Dic67C2414yes—
143C22×Dic67C2412yes—
144C22×Dic67C2412yes—
145C22×Dic67C2412yes—
146C2×C4×D67—264no—
147C2×C4×D67—232no—
148C2×C4×D67—232no—
149C2×C4×D67—28no—
150C2×C4×D67—28no—
151C2×C4×D67—216no—
152C2×C4×D67—216no—
153C2×C4×D67—28no—
154C2×C4×D67—28no—
155C2×C4×D67—216no—
156C2×C4×D67—216no—
157C2×C4×D67—216no—
158C2×C4×D67—432no—
159C2×C4×D67C4⋊C4164yescomplemented
160C2×C4×D67C22×C4132yes—
161C2×C4×D67C22×C4116yes—
162C2×C4×D67C2×D4116yes—
163C2×C4×D67C2×D4116yes—
164C2×C4×D67C2×Q8116yes—
165C2×C4×D67C2×Q8116yes—
166C4⋊Dic67—28no—
167C4⋊Dic67—216no—
168C4⋊Dic67C22×C4116yescomplemented
169Dic67⋊C4—216no—
170Dic67⋊C4—216no—
171Dic67⋊C4—216no—
172Dic67⋊C4C22×C4132yescomplemented
173C4×Dic67—28no—
174C4×Dic67—28no—
175C4×Dic67—28no—
176C24×C67C2411yescharacteristic
177C22×C4×C67—22no—
178C22×C4×C67—22no—
179C22×C4×C67—24no—
180C22×C4×C67—24no—
181C22×C4×C67—22no—
182C22×C4×C67—22no—
183C22×C4×C67—24no—
184C22×C4×C67—24no—
185C22×C4×C67—24no—
186C22×C4×C67C22×C418yes—
187C22×C4×C67C22×C414yes—
188C22×C4×C67C2×D414yes—
189C22×C4×C67C2×D414yes—
190C22×C4×C67C2×Q814yes—
191C22×C4×C67C2×Q814yes—
192C22×C4×C67C2414yes—
193C22×C4×C67C2414yes—
194C22×C4×C67C2412yes—
195C22×C4×C67C2412yes—
196C22×C4×C67C2412yes—
197C4⋊C4×C67—216no—
198C4⋊C4×C67—28no—
199C4⋊C4×C67C22×C4116yescomplemented
200C42×C67—28no—
201C23×C67C23×C412yes—
202C23×C67C22×D412yes—
203C23×C67C22×D412yes—
204C23×C67C22×Q812yes—
205C23×C67C22×Q812yes—
206C23×C67C2×#4112yes—
207C23×C67C2×#4112yes—
208C23×C67C2511yescharacteristic
209C22×D67C2×C4⋊C4116yes—
210C22×D67C4×D4116yes—
211C22×D67C4×Q8116yes—
212C22×D67#121116yes—
213C22×D67C22⋊Q8116yes—
214C22×D67#125116yes—
215C22×D67C4⋊Q8116yes—
216C22×D67C23×C414yes—
217C22×D67C22×D414yes—
218C22×D67C22×D414yes—
219C22×D67C22×Q814yes—
220C22×D67C22×Q814yes—
221C22×D67C2×#4114yes—
222C22×D67C2×#4114yes—
223C2×C4×C67—216no—
224C2×C4×C67—28no—
225C2×C4×C67—28no—
226C2×C4×C67—22no—
227C2×C4×C67—22no—
228C2×C4×C67—24no—
229C2×C4×C67—24no—
230C2×C4×C67—22no—
231C2×C4×C67—22no—
232C2×C4×C67—24no—
233C2×C4×C67—24no—
234C2×C4×C67—24no—
235C2×C4×C67—48no—
236C2×C4×C67C2×C4⋊C4116yescomplemented
237C2×C4×C67C23×C418yes—
238C2×C4×C67C23×C414yes—
239C2×C4×C67C22×D414yes—
240C2×C4×C67C22×D414yes—
241C2×C4×C67C22×Q814yes—
242C2×C4×C67C22×Q814yes—
243C2×Dic67—216no—
244C2×Dic67—28no—
245C2×Dic67—28no—
246C2×Dic67—22no—
247C2×Dic67—22no—
248C2×Dic67—24no—
249C2×Dic67—24no—
250C2×Dic67—22no—
251C2×Dic67—22no—
252C2×Dic67—24no—
253C2×Dic67—24no—
254C2×Dic67—24no—
255C2×Dic67—48no—
256C2×Dic67C2×C4⋊C4116yescomplemented
257C2×Dic67C23×C418yes—
258C2×Dic67C23×C414yes—
259C2×Dic67C22×D414yes—
260C2×Dic67C22×D414yes—
261C2×Dic67C22×Q814yes—
262C2×Dic67C22×Q814yes—
263C4×D67—264no—
264C4×D67—232no—
265C4×D67—232no—
266C4×D67—432no—
267C4×D67C2×C4⋊C4164yescomplemented
268C22×C67C22×C4⋊C414yes—
269C22×C67C2×C4×D414yes—
270C22×C67C2×C4×Q814yes—
271C22×C67C2×#12114yes—
272C22×C67C2×C22⋊Q814yes—
273C22×C67C2×#12514yes—
274C22×C67C2×C4⋊Q814yes—
275C22×C67C24×C411yescharacteristic
276C22×C67C23×D411yescharacteristic
277C22×C67C23×D411yescharacteristic
278C22×C67C23×Q811yescharacteristic
279C22×C67C23×Q811yescharacteristic
280C22×C67C22×#4111yescharacteristic
281C22×C67C22×#4111yescharacteristic
282C2×D67#389164yesdirect product factor
283C2×D67C22×C4⋊C418yes—
284C2×D67C2×C4×D418yes—
285C2×D67C2×C4×Q818yes—
286C2×D67C2×#12118yes—
287C2×D67C2×C22⋊Q818yes—
288C2×D67C2×#12518yes—
289C2×D67C2×C4⋊Q818yes—
290C4×C67—28no—
291C4×C67—24no—
292C4×C67—24no—
293C4×C67—44no—
294C4×C67C22×C4⋊C418yescomplemented
295Dic67—28no—
296Dic67—24no—
297Dic67—24no—
298Dic67—44no—
299Dic67C22×C4⋊C418yescomplemented
300C22×#389—671nomaximal, Sylow
301C2×C67C2×#38918yescomplemented
302C2×C67C23×C4⋊C411yescharacteristic
303C2×C67C22×C4×D411yescharacteristic
304C2×C67C22×C4×Q811yescharacteristic
305C2×C67C22×#12111yescharacteristic
306C2×C67C22×C22⋊Q811yescharacteristic
307C2×C67C22×#12511yescharacteristic
308C2×C67C22×C4⋊Q811yescharacteristic
309D67C2×#389116yesdirect product factor
310C23×C4⋊C4—671no—
311C23×C4⋊C4—671no—
312C23×C4⋊C4—672no—
313C23×C42—671no—
314C2×#389—671no—
315C2×#389—6716no—
316C2×#389—672no—
317C2×#389—672no—
318C2×#389—671no—
319C2×#389—671no—
320C2×#389D6711yescharacteristic, direct product factor
321C22×#95—672no—
322C67C22×#38911yescharacteristic, complemented, Sylow
323C24×C4—671no—
324C24×C4—671no—
325C24×C4—671no—
326C24×C4—672no—
327C24×C4—672no—
328C22×C4⋊C4—672no—
329C22×C4⋊C4—671no—
330C22×C4⋊C4—6716no—
331C22×C4⋊C4—678no—
332C22×C4⋊C4—672no—
333C22×C4⋊C4—672no—
334C22×C4⋊C4—672no—
335C22×C4⋊C4—672no—
336C22×C4⋊C4—671no—
337C22×C4⋊C4—678no—
338C22×C4⋊C4—6716no—
339C22×C4⋊C4—1348no—
340C22×C4⋊C4—13416no—
341C22×C4⋊C4C2×D6711yescharacteristic
342C22×C4⋊C4C2×D6712yes—
343C22×C4⋊C4C2×D6711yescharacteristic
344C22×C42—671no—
345C22×C42—671no—
346C22×C42—671no—
347C22×C42—678no—
348C22×C42—1348no—
349C22×C42C2×D6711yescharacteristic
350#389—6716no—
351#389—678no—
352#389—678no—
353#389—678no—
354#389—6716no—
355#389C2×D6718yesdirect product factor
356C2×#95—672no—
357C2×#95—672no—
358C2×#95—672no—
359C2×#95—6716no—
360C2×#95C2×D6712yes—
361C25—671no—
362C23×C4—671no—
363C23×C4—678no—
364C23×C4—678no—
365C23×C4—678no—
366C23×C4—674no—
367C23×C4—672no—
368C23×C4—671no—
369C23×C4—671no—
370C23×C4—6716no—
371C23×C4—678no—
372C23×C4—678no—
373C23×C4—678no—
374C23×C4—674no—
375C23×C4—674no—
376C23×C4—672no—
377C23×C4—678no—
378C23×C4—1348no—
379C23×C4—1348no—
380C23×C4—1348no—
381C23×C4—1348no—
382C23×C4—1344no—
383C23×C4—1344no—
384C23×C4—1348no—
385C23×C4—1344no—
386C23×C4—1344no—
387C23×C4C22×D6712yes—
388C23×C4C22×D6712yes—
389C23×C4C22×D6711yescharacteristic
390C23×C4C22×D6711yescharacteristic
391C23×C4C22×D6711yescharacteristic
392C2×C4⋊C4—28no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—6716no—
395C2×C4⋊C4—678no—
396C2×C4⋊C4—678no—
397C2×C4⋊C4—674no—
398C2×C4⋊C4—6764no—
399C2×C4⋊C4—678no—
400C2×C4⋊C4—678no—
401C2×C4⋊C4—678no—
402C2×C4⋊C4—678no—
403C2×C4⋊C4—674no—
404C2×C4⋊C4—13432no—
405C2×C4⋊C4—13464no—
406C2×C4⋊C4—1348no—
407C2×C4⋊C4—1348no—
408C2×C4⋊C4—1348no—
409C2×C4⋊C4—1348no—
410C2×C4⋊C4—1344no—
411C2×C4⋊C4C4×D6718yescomplemented
412C2×C4⋊C4C22×D6714yes—
413C2×C4⋊C4C22×D6718yes—
414C2×C4⋊C4C22×D6714yes—
415C2×C42—24no—
416C2×C42—674no—
417C2×C42—674no—
418C2×C42—674no—
419C2×C42—13432no—
420C2×C42—1344no—
421C2×C42—1344no—
422C2×C42—1344no—
423C2×C42C22×D6714yes—
424#95—678no—
425#95—678no—
426#95—678no—
427#95C22×D6718yes—
428C24—674no—
429C24—674no—
430C24—674no—
431C24—674no—
432C24—674no—
433C24—674no—
434C24—674no—
435C24—672no—
436C24C23×D6711yescharacteristic
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—26832no—
447C22×C4—674no—
448C22×C4—674no—
449C22×C4—674no—
450C22×C4—672no—
451C22×C4—6764no—
452C22×C4—6716no—
453C22×C4—6716no—
454C22×C4—6716no—
455C22×C4—678no—
456C22×C4—674no—
457C22×C4—674no—
458C22×C4—672no—
459C22×C4—674no—
460C22×C4—672no—
461C22×C4—6732no—
462C22×C4—6716no—
463C22×C4—6716no—
464C22×C4—674no—
465C22×C4—13416no—
466C22×C4—13416no—
467C22×C4—13416no—
468C22×C4—1348no—
469C22×C4—1348no—
470C22×C4—13416no—
471C22×C4—13464no—
472C22×C4—13432no—
473C22×C4—13432no—
474C22×C4—13416no—
475C22×C4—1348no—
476C22×C4—1348no—
477C22×C4—1344no—
478C22×C4—1344no—
479C22×C4—1344no—
480C22×C4—1342no—
481C22×C4—1342no—
482C22×C4—1344no—
483C22×C4—1344no—
484C22×C4—1342no—
485C22×C4—1342no—
486C22×C4C2×C4×D6718yes—
487C22×C4C2×C4×D6714yes—
488C22×C4D4×D6714yes—
489C22×C4D4×D6714yes—
490C22×C4Q8×D6714yes—
491C22×C4Q8×D6714yes—
492C22×C4C23×D6714yes—
493C22×C4C23×D6714yes—
494C22×C4C23×D6712yes—
495C22×C4C23×D6712yes—
496C22×C4C23×D6712yes—
497C4⋊C4—216no—
498C4⋊C4—28no—
499C4⋊C4—6732no—
500C4⋊C4—6716no—
501C4⋊C4—13416no—
502C4⋊C4—13416no—
503C4⋊C4—13416no—
504C4⋊C4—13416no—
505C4⋊C4—1348no—
506C4⋊C4C2×C4×D67116yescomplemented
507C42—28no—
508C42—1348no—
509C42—1348no—
510C42—1348no—
511C23—6716no—
512C23—6716no—
513C23—6716no—
514C23—6716no—
515C23—6716no—
516C23—6716no—
517C23—6716no—
518C23—674no—
519C23—674no—
520C23—674no—
521C23—674no—
522C23—674no—
523C23—674no—
524C23—674no—
525C23C22×C4×D6712yes—
526C23C2×D4×D6712yes—
527C23C2×D4×D6712yes—
528C23C2×Q8×D6712yes—
529C23C2×Q8×D6712yes—
530C23#41×D6712yes—
531C23#41×D6712yes—
532C23C24×D6711yescharacteristic
533C2×C4—216no—
534C2×C4—28no—
535C2×C4—28no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—24no—
539C2×C4—24no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—48no—
546C2×C4—26832no—
547C2×C4—2688no—
548C2×C4—6716no—
549C2×C4—674no—
550C2×C4—674no—
551C2×C4—674no—
552C2×C4—6764no—
553C2×C4—678no—
554C2×C4—674no—
555C2×C4—674no—
556C2×C4—13464no—
557C2×C4—13432no—
558C2×C4—13432no—
559C2×C4—1344no—
560C2×C4—1344no—
561C2×C4—1344no—
562C2×C4—13416no—
563C2×C4—1348no—
564C2×C4—1348no—
565C2×C4—1342no—
566C2×C4—1342no—
567C2×C4—1344no—
568C2×C4—1344no—
569C2×C4—1342no—
570C2×C4—1342no—
571C2×C4C4⋊C4×D67116yescomplemented
572C2×C4C22×C4×D6718yes—
573C2×C4C22×C4×D6714yes—
574C2×C4C2×D4×D6714yes—
575C2×C4C2×D4×D6714yes—
576C2×C4C2×Q8×D6714yes—
577C2×C4C2×Q8×D6714yes—
578C22—678no—
579C22—678no—
580C22—678no—
581C22—6764no—
582C22—678no—
583C22—678no—
584C22—678no—
585C22—678no—
586C22C2×C4⋊C4×D6714yes—
587C22C4×D4×D6714yes—
588C22C4×Q8×D6714yes—
589C22#121×D6714yes—
590C22C22⋊Q8×D6714yes—
591C22#125×D6714yes—
592C22C4⋊Q8×D6714yes—
593C22C23×C4×D6711yescharacteristic
594C22C22×D4×D6711yescharacteristic
595C22C22×D4×D6711yescharacteristic
596C22C22×Q8×D6711yescharacteristic
597C22C22×Q8×D6711yescharacteristic
598C22C2×#41×D6711yescharacteristic
599C22C2×#41×D6711yescharacteristic
600C4—28no—
601C4—24no—
602C4—24no—
603C4—44no—
604C4—2684no—
605C4—678no—
606C4—1348no—
607C4—1344no—
608C4—1344no—
609C4C2×C4⋊C4×D6718yescomplemented
610C2—6716no—
611C2#389×D6718yesdirect product factor
612C2C22×C4⋊C4×D6711yescharacteristic
613C2C2×C4×D4×D6711yescharacteristic
614C2C2×C4×Q8×D6711yescharacteristic
615C2C2×#121×D6711yescharacteristic
616C2C2×C22⋊Q8×D6711yescharacteristic
617C2C2×#125×D6711yescharacteristic
618C2C2×C4⋊Q8×D6711yescharacteristic
subgroupG/H
centerC24C23×D67
commutatorC22×C67C24×C4
FrattiniC23C24×D67
FittingC2×#389×C67C2
socleC24×C67C24
prime radicalC24×D67C23
cosocleC23×C67C25
hypercenterC2×#389D67
hypocenterC67C22×#389
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
5. C2×#16863295C2semidirect
6. C2×#16863294C2semidirect
7. C2×#16863293C2semidirect
8. C2×#16863292C2semidirect
9. C2×#16863291C2semidirect
10. #389×D67C2direct (N × H)
12. C2×#389×C67C2semidirect
27. C2×C4⋊C4×D67C4semidirect
36. #16863295C22semidirect
37. #16863294C22semidirect
38. #16863293C22semidirect
39. #16863292C22semidirect
40. #16863291C22semidirect
49. #389×C67C22semidirect
79. C2×C4⋊Dic67C2×C4semidirect
86. C2×Dic67⋊C4C2×C4semidirect
93. C4⋊C4×D67C2×C4semidirect
111. C2×C4⋊C4×C67C2×C4semidirect
159. C2×C4×D67C4⋊C4semidirect
168. C4⋊Dic67C22×C4semidirect
172. Dic67⋊C4C22×C4semidirect
199. C4⋊C4×C67C22×C4semidirect
236. C2×C4×C67C2×C4⋊C4semidirect
256. C2×Dic67C2×C4⋊C4semidirect
267. C4×D67C2×C4⋊C4semidirect
282. C2×D67#389direct (N × H)
294. C4×C67C22×C4⋊C4semidirect
299. Dic67C22×C4⋊C4semidirect
301. C2×C67C2×#389semidirect
309. D67C2×#389direct (N × H)
320. C2×#389D67direct (N × H)
322. C67C22×#389semidirect
355. #389C2×D67direct (N × H)
411. C2×C4⋊C4C4×D67semidirect
506. C4⋊C4C2×C4×D67semidirect
571. C2×C4C4⋊C4×D67semidirect
609. C4C2×C4⋊C4×D67semidirect
611. C2#389×D67direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D672
C22×C42×D672
C2×#168632952
C2×#168632942
C2×#168632932
C2×#168632922
C2×#168632912
#389×D672
C2×#95×D672
C2×#389×C672
C22×#38967