Finite Group Databasebeta

← #30873952

Subgroups — #30873952

Order 17152.

1010 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C67⋊C8C211yesmaximal, characteristic
2C2×#16863432C211yesmaximal, characteristic, complemented
3C22×#14523976C211yesmaximal, characteristic, complemented
4#22563138C211yesmaximal, characteristic
5#22560977C211yesmaximal, characteristic, complemented
6#22560975C211yesmaximal, characteristic, complemented
7#22560408C211yesmaximal, characteristic, complemented
8#22560406C211yesmaximal, characteristic, complemented
9#22560402C211yesmaximal, characteristic, complemented
10#22560401C211yesmaximal, characteristic, complemented
11#22560371C211yesmaximal, characteristic, complemented
12#22560236C211yesmaximal, characteristic, complemented
13#22560236C211yesmaximal, characteristic, complemented
14C4×#14523976C211yesmaximal, characteristic, complemented
15C67×#2352C211yesmaximal, characteristic
16C23×C67⋊C8C2211yescharacteristic
17C23×C67⋊C8C2211yescharacteristic
18C2×#14524002C2211yescharacteristic
19C22×C4⋊Dic67C2211yescharacteristic
20D4×C67⋊C8C418yescomplemented
21#16863432—24no—
22C2×#14523976—24no—
23C2×#14523976C2211yescharacteristic
24C2×#14523976C2211yescharacteristic
25C2×#14523976C2211yescharacteristic
26C2×#14523976C2211yescharacteristic
27C2×#14523976C2211yescharacteristic
28C2×#14523976C2211yescharacteristic
29C2×#14523974C2211yescharacteristic
30C2×#14523974C2211yescharacteristic
31C2×#14523974C2211yescharacteristic
32C2×#14523974C2211yescharacteristic
33C2×C4⋊(C67⋊C8)C2211yescharacteristic
34C2×C22⋊(C67⋊C8)C2211yescharacteristic
35C2×C22⋊(C67⋊C8)C2211yescharacteristic
36C2×C4×C67⋊C8C2211yescharacteristic
37#16863289—21no—
38#16863282—21no—
39#16863276—21no—
40#16863262C2211yescharacteristic
41#16863256C2211yescharacteristic
42#16863256C2211yescharacteristic
43C4×C4⋊Dic67C2211yescharacteristic
44C22⋊C4×Dic67—21no—
45#16863158C2211yescharacteristic
46#16863158C2211yescharacteristic
47#16863158C2211yescharacteristic
48#16863158C2211yescharacteristic
49#16863158C2211yescharacteristic
50#16863158C2211yescharacteristic
51C2×C4×D4×C67C2211yescharacteristic
52C2×#117×C67C2211yescharacteristic
53C22×C4⋊C4×C67C2211yescharacteristic
54#388×C67—21no—
55#387×C67—21no—
56#386×C67—21no—
57#382×C67C2211yescharacteristic
58#380×C67C2211yescharacteristic
59#380×C67C2211yescharacteristic
60C4×C4⋊C4×C67C2211yescharacteristic
61C4×C22⋊C4×C67—21no—
62C23×Dic67—21no—
63C22×C67⋊C8—22no—
64C22×C67⋊C8—22no—
65C22×C67⋊C8—22no—
66C22×C67⋊C8—22no—
67C22×C67⋊C8C2×C414yes—
68C22×C67⋊C8C2×C414yescomplemented
69C22×C67⋊C8C2311yescharacteristic
70C22×C67⋊C8C2311yescharacteristic
71C22×C67⋊C8C2311yescharacteristic
72C22×C67⋊C8C2311yescharacteristic
73#14524002—22no—
74#14524002—41no—
75C2×C4⋊Dic67—22no—
76C2×C4⋊Dic67—21no—
77C2×C4⋊Dic67—41no—
78C2×C4⋊Dic67C2311yescharacteristic
79C2×C4⋊Dic67C2311yescharacteristic
80C2×C4⋊Dic67C2311yescharacteristic
81C2×C4⋊Dic67C2311yescharacteristic
82C2×C22⋊Dic67—21no—
83C2×C22⋊Dic67—21no—
84C2×C22⋊Dic67—21no—
85C2×C4×Dic67—21no—
86C2×C4×Dic67—21no—
87#14523976—22no—
88#14523976—22no—
89#14523976—22no—
90#14523976—22no—
91#14523976—22no—
92#14523976D414yescomplemented
93#14523974—22no—
94#14523974—22no—
95#14523974—41no—
96#14523974—41no—
97C4⋊(C67⋊C8)C2×C414yescomplemented
98C22⋊(C67⋊C8)C2×C414yes—
99C22⋊(C67⋊C8)C2×C414yescomplemented
100C4×C67⋊C8C2×C414yescomplemented
101C67⋊#95—21no—
102C67⋊#95—21no—
103C67⋊#95—21no—
104C67⋊#95—21no—
105C67⋊#95—21no—
106C22×D4×C67D411yescharacteristic
107C23×C4×C67—21no—
108C23×C4×C67C2311yescharacteristic
109C23×C4×C67C2311yescharacteristic
110C4×D4×C67C2×C414yes—
111C4×D4×C67Q814yes—
112#117×C67—22no—
113#117×C67—41no—
114C2×C4⋊C4×C67—22no—
115C2×C4⋊C4×C67—21no—
116C2×C4⋊C4×C67—41no—
117C2×C4⋊C4×C67D411yescharacteristic
118C2×C4⋊C4×C67C2311yescharacteristic
119C2×C4⋊C4×C67C2311yescharacteristic
120C2×C4⋊C4×C67C2311yescharacteristic
121C2×C4⋊C4×C67C2311yescharacteristic
122C2×C22⋊C4×C67—21no—
123C2×C22⋊C4×C67—21no—
124C2×C22⋊C4×C67—21no—
125C2×C22⋊C4×C67D411yescharacteristic
126C2×C22⋊C4×C67D411yescharacteristic
127C2×C42×C67—21no—
128C2×C42×C67—21no—
129C2×C42×C67C2311yescharacteristic
130#95×C67—21no—
131#95×C67—21no—
132#95×C67—21no—
133#95×C67—21no—
134#95×C67—21no—
135C22×Dic67—21no—
136C22×Dic67—21no—
137C22×Dic67—21no—
138C22×Dic67—21no—
139C22×Dic67—42no—
140C22×Dic67—42no—
141C22×Dic67—81no—
142C2×C67⋊C8—21no—
143C2×C67⋊C8—21no—
144C2×C67⋊C8—21no—
145C2×C67⋊C8—21no—
146C2×C67⋊C8—21no—
147C2×C67⋊C8—21no—
148C2×C67⋊C8—28no—
149C2×C67⋊C8—28no—
150C2×C67⋊C8C22×C412yes—
151C2×C67⋊C8C22×C412yes—
152C2×C67⋊C8C22×C412yes—
153C2×C67⋊C8C22×C412yes—
154C2×C67⋊C8C2×D412yes—
155C2×C67⋊C8#4112yes—
156C4⋊Dic67—21no—
157C4⋊Dic67—21no—
158C4⋊Dic67—21no—
159C4⋊Dic67—21no—
160C4⋊Dic67—21no—
161C4⋊Dic67—21no—
162C4⋊Dic67—21no—
163C4⋊Dic67—42no—
164C4⋊Dic67C2×D412yes—
165C22⋊Dic67—42no—
166C22⋊Dic67—42no—
167C22⋊Dic67—81no—
168C4×Dic67—42no—
169C4×Dic67—81no—
170C24×C67C2×D411yescharacteristic
171C24×C67C2×D411yescharacteristic
172C2×D4×C67—22no—
173C2×D4×C67—22no—
174C2×D4×C67C4⋊C414yes—
175C22×C4×C67—21no—
176C22×C4×C67—21no—
177C22×C4×C67—21no—
178C22×C4×C67—21no—
179C22×C4×C67—21no—
180C22×C4×C67—21no—
181C22×C4×C67—21no—
182C22×C4×C67—21no—
183C22×C4×C67—21no—
184C22×C4×C67—21no—
185C22×C4×C67—21no—
186C22×C4×C67—21no—
187C22×C4×C67—42no—
188C22×C4×C67—42no—
189C22×C4×C67—81no—
190C22×C4×C67C22×C412yes—
191C22×C4×C67C22×C412yes—
192C22×C4×C67C2×D411yescharacteristic
193C22×C4×C67C2×D411yescharacteristic
194C22×C4×C67C2×D411yescharacteristic
195C22×C4×C67C2×D411yescharacteristic
196C22×C4×C67C2×Q812yes—
197C22×C4×C67C2×Q812yes—
198C22×C4×C67C2411yescharacteristic
199C4⋊C4×C67—21no—
200C4⋊C4×C67—21no—
201C4⋊C4×C67—21no—
202C4⋊C4×C67—21no—
203C4⋊C4×C67—21no—
204C4⋊C4×C67—21no—
205C4⋊C4×C67—21no—
206C4⋊C4×C67—42no—
207C4⋊C4×C67C4⋊C414yes—
208C4⋊C4×C67C2×D412yes—
209C22⋊C4×C67—42no—
210C22⋊C4×C67—42no—
211C22⋊C4×C67—81no—
212C22⋊C4×C67C4⋊C414yes—
213C22⋊C4×C67C4⋊C414yes—
214C42×C67—42no—
215C42×C67—81no—
216C42×C67C22×C412yes—
217C42×C67C2×Q812yes—
218C23×C67—21no—
219C23×C67—21no—
220C23×C67—21no—
221C23×C67—21no—
222C23×C67—21no—
223C23×C67—21no—
224C23×C67—21no—
225C23×C67—21no—
226C23×C67—21no—
227C23×C67—21no—
228C23×C67C2×C4⋊C412yes—
229C23×C67C2×C4⋊C412yes—
230C23×C67#13512yes—
231C23×C67#13512yes—
232C23×C67C22×D411yescharacteristic
233D4×C67—28no—
234C2×C4×C67—21no—
235C2×C4×C67—21no—
236C2×C4×C67—21no—
237C2×C4×C67—21no—
238C2×C4×C67—21no—
239C2×C4×C67—21no—
240C2×C4×C67—21no—
241C2×C4×C67—21no—
242C2×C4×C67—22no—
243C2×C4×C67—22no—
244C2×C4×C67—22no—
245C2×C4×C67—22no—
246C2×C4×C67—22no—
247C2×C4×C67—22no—
248C2×C4×C67—22no—
249C2×C4×C67—22no—
250C2×C4×C67—22no—
251C2×C4×C67—41no—
252C2×C4×C67—41no—
253C2×C4×C67—41no—
254C2×C4×C67—41no—
255C2×C4×C67—41no—
256C2×C4×C67—41no—
257C2×C4×C67—41no—
258C2×C4×C67—41no—
259C2×C4×C67—41no—
260C2×C4×C67—41no—
261C2×C4×C67—41no—
262C2×C4×C67—84no—
263C2×C4×C67C2×C4⋊C412yes—
264C2×C4×C67C2×C4⋊C412yes—
265C2×C4×C67C2×C4⋊C412yes—
266C2×C4×C67C2×C4⋊C412yes—
267C2×C4×C67C23×C411yescharacteristic
268C2×C4×C67C22×D411yescharacteristic
269C2×C4×C67C22×Q811yescharacteristic
270C2×C4×C67C2×#4111yescharacteristic
271C2×C4×C67H(5,𝔽2)11yescharacteristic
272C2×C4×C672−1+411yescharacteristic
273C2×Dic67—22no—
274C2×Dic67—41no—
275C2×Dic67—41no—
276C2×Dic67—41no—
277C2×Dic67—41no—
278C2×Dic67—41no—
279C2×Dic67—41no—
280C2×Dic67—41no—
281C2×Dic67—41no—
282C2×Dic67—41no—
283C2×Dic67—41no—
284C2×Dic67—41no—
285C2×Dic67—84no—
286C67⋊C8—22no—
287C67⋊C8—22no—
288C67⋊C8—22no—
289C67⋊C8C4×D414yes—
290C22×C67—22no—
291C22×C67—22no—
292C22×C67—22no—
293C22×C67—22no—
294C22×C67—22no—
295C22×C67—22no—
296C22×C67—22no—
297C22×C67—22no—
298C22×C67—22no—
299C22×C67—41no—
300C22×C67—41no—
301C22×C67—41no—
302C22×C67—41no—
303C22×C67#42714yescomplemented
304C22×C67C22×C4⋊C411yescharacteristic
305C22×C67D4211yescharacteristic
306C22×C67#54711yescharacteristic
307C22×C67C2×#13511yescharacteristic
308C22×C67C2×#13511yescharacteristic
309C22×C67#57611yescharacteristic
310C22×C67#57811yescharacteristic
311C4×C67—22no—
312C4×C67—22no—
313C4×C67—22no—
314C4×C67—22no—
315C4×C67—42no—
316C4×C67—81no—
317C4×C67—81no—
318C4×C67—81no—
319C4×C67C2×C4×D411yescharacteristic
320C4×C67#52011yescharacteristic
321C4×C67D4×Q811yescharacteristic
322C4×C67#55411yescharacteristic
323Dic67—42no—
324Dic67—81no—
325Dic67—81no—
326Dic67—81no—
327#22656—671nomaximal, Sylow
328C2×C67—24no—
329C2×C67—42no—
330C2×C67D4×C4⋊C411yescharacteristic
331C2×C67C2×#42711yescharacteristic
332C2×C67#291311yescharacteristic
333C2×C67#328011yescharacteristic
334C2×C67#328511yescharacteristic
335C2×C67#333611yescharacteristic
336C2×C67#333911yescharacteristic
337C2×C8×D4—671no—
338C2×#427—671no—
339C22×#107—671no—
340#2352—671no—
341#2352D6711yescharacteristic
342#1949—671no—
343#1949—671no—
344#1854—671no—
345#1854—671no—
346#1853—671no—
347#1853—671no—
348#1846—671no—
349#1808—671no—
350#1808—671no—
351C4×#107—671no—
352C67#2265611yescharacteristic, complemented, Sylow
353C23×C8—671no—
354C23×C8—671no—
355C2×C4×D4C2×D6711yescharacteristic
356C2×#117—671no—
357C2×#117C2×D6711yescharacteristic
358C22×C4⋊C4—671no—
359C22×C4⋊C4C2×D6711yescharacteristic
360C8×D4—678no—
361#427—1344no—
362C2×#107—671no—
363C2×#107—671no—
364C2×#107—671no—
365C2×#107—671no—
366C2×#107—671no—
367C2×#107—671no—
368C2×#107—1344no—
369C2×#106—671no—
370C2×#106—671no—
371C2×#106—671no—
372C2×#106—671no—
373C2×C4⋊C8—671no—
374C2×C22⋊C8—671no—
375C2×C22⋊C8—671no—
376C2×C4×C8—671no—
377#388—21no—
378#388—1341no—
379#387—21no—
380#387—1341no—
381#386—21no—
382#386—1341no—
383#382—671no—
384#382C2×D6711yescharacteristic
385#380—671no—
386#380—671no—
387#380C2×D6711yescharacteristic
388#380C2×D6711yescharacteristic
389C4×C4⋊C4—671no—
390C4×C4⋊C4C2×D6711yescharacteristic
391C4×C22⋊C4—21no—
392C4×C22⋊C4—1341no—
393#340—671no—
394#340—671no—
395#340—671no—
396#340—671no—
397#340—671no—
398#340—671no—
399C22×D4C22⋊D6711yescharacteristic
400C23×C4—21no—
401C23×C4—1341no—
402C23×C4C22×D6711yescharacteristic
403C23×C4C22×D6711yescharacteristic
404C22×C8—671no—
405C22×C8—674no—
406C22×C8—674no—
407C22×C8—671no—
408C22×C8—671no—
409C22×C8—671no—
410C22×C8—1342no—
411C22×C8—1342no—
412C22×C8—1342no—
413C22×C8—1342no—
414C4×D4Dic13414yes—
415C4×D4C4×D6714yes—
416#117—22no—
417#117—41no—
418#117—2681no—
419#117—1342no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—2681no—
424C2×C4⋊C4—671no—
425C2×C4⋊C4—671no—
426C2×C4⋊C4—671no—
427C2×C4⋊C4—671no—
428C2×C4⋊C4—1341no—
429C2×C4⋊C4—1342no—
430C2×C4⋊C4C22⋊D6711yescharacteristic
431C2×C4⋊C4C22×D6711yescharacteristic
432C2×C4⋊C4C22×D6711yescharacteristic
433C2×C4⋊C4C22×D6711yescharacteristic
434C2×C4⋊C4C22×D6711yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—1341no—
439C2×C22⋊C4—1341no—
440C2×C22⋊C4—1341no—
441C2×C22⋊C4C22⋊D6711yescharacteristic
442C2×C22⋊C4C22⋊D6711yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—1341no—
446C2×C42—1341no—
447C2×C42C22×D6711yescharacteristic
448#107—674no—
449#107—1342no—
450#107—1342no—
451#107—1342no—
452#107—1342no—
453#107—1342no—
454#106—2681no—
455#106—2681no—
456#106—1342no—
457#106—1342no—
458C4⋊C8—674no—
459C22⋊C8—674no—
460C22⋊C8—674no—
461C4×C8—674no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—1341no—
468#95—1341no—
469#95—1341no—
470#95—1341no—
471#95—1341no—
472C24C2×C22⋊D6711yescharacteristic
473C24C2×C22⋊D6711yescharacteristic
474C2×D4—22no—
475C2×D4—22no—
476C2×D4Dic67⋊C414yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—2682no—
493C22×C4—2682no—
494C22×C4—5361no—
495C22×C4—1341no—
496C22×C4—1341no—
497C22×C4—1341no—
498C22×C4—1341no—
499C22×C4C2×C4×D6712yes—
500C22×C4C2×C4×D6712yes—
501C22×C4C2×C22⋊D6711yescharacteristic
502C22×C4C2×C22⋊D6711yescharacteristic
503C22×C4C2×C22⋊D6711yescharacteristic
504C22×C4C2×C22⋊D6711yescharacteristic
505C22×C4C2×Dic13412yes—
506C22×C4C2×Dic13412yes—
507C22×C4C23×D6711yescharacteristic
508C2×C8—672no—
509C2×C8—672no—
510C2×C8—672no—
511C2×C8—672no—
512C2×C8—672no—
513C2×C8—672no—
514C2×C8—1348no—
515C2×C8—1348no—
516C2×C8—1341no—
517C2×C8—1341no—
518C2×C8—1341no—
519C2×C8—1341no—
520C2×C8—1341no—
521C2×C8—1341no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—2682no—
531C4⋊C4—672no—
532C4⋊C4—1341no—
533C4⋊C4—1341no—
534C4⋊C4—1341no—
535C4⋊C4—1341no—
536C4⋊C4—1341no—
537C4⋊C4—1341no—
538C4⋊C4—1341no—
539C4⋊C4Dic67⋊C414yes—
540C4⋊C4D4×D6712yes—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—2682no—
545C22⋊C4—2682no—
546C22⋊C4—5361no—
547C22⋊C4Dic67⋊C414yes—
548C22⋊C4Dic67⋊C414yes—
549C42—42no—
550C42—81no—
551C42—2682no—
552C42—5361no—
553C42C2×C4×D6712yes—
554C42C2×Dic13412yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23C2×Dic67⋊C412yes—
566C23C2×Dic67⋊C412yes—
567C23#1452406312yes—
568C23#1452406312yes—
569C23C22×C22⋊D6711yescharacteristic
570D4—28no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—2681no—
601C2×C4—2681no—
602C2×C4—2681no—
603C2×C4—2681no—
604C2×C4—2681no—
605C2×C4—2681no—
606C2×C4—2681no—
607C2×C4—2681no—
608C2×C4—2681no—
609C2×C4—2681no—
610C2×C4—2681no—
611C2×C4—5364no—
612C2×C4—1342no—
613C2×C4C2×Dic67⋊C412yes—
614C2×C4C2×Dic67⋊C412yes—
615C2×C4C2×Dic67⋊C412yes—
616C2×C4C2×Dic67⋊C412yes—
617C2×C4C22×C4×D6711yescharacteristic
618C2×C4C2×D4×D6711yescharacteristic
619C2×C4C22×Dic13411yescharacteristic
620C2×C4#41×D6711yescharacteristic
621C2×C4#1452408811yescharacteristic
622C2×C4#1452409011yescharacteristic
623C8—674no—
624C8—1342no—
625C8—1342no—
626C8—1342no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22#1686343214yescomplemented
641C22C22×Dic67⋊C411yescharacteristic
642C22D4×C22⋊D6711yescharacteristic
643C22#1686404511yescharacteristic
644C22C2×#1452406311yescharacteristic
645C22C2×#1452406311yescharacteristic
646C22#1686419911yescharacteristic
647C22#1686421111yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—2682no—
657C4—5361no—
658C4—5361no—
659C4—5361no—
660C4C4×D4×D6711yescharacteristic
661C4#1686387511yescharacteristic
662C4D4×Dic13411yescharacteristic
663C4#1686410511yescharacteristic
664C2—24no—
665C2—42no—
666C2D4×Dic67⋊C411yescharacteristic
667C2C2×#1686343211yescharacteristic
668C2#2256880711yescharacteristic
669C2#2257189011yescharacteristic
670C2#2257194611yescharacteristic
671C2#2257257111yescharacteristic
672C2#2257260511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D67
commutatorC2×C4×C67C23×C4
FrattiniC22×C4C23×D67
FittingC67×#2352C2
socleC23×C67C22×D4
prime radicalC22×D4×C67D4
cosocleC22×C4×C67C24
hypercenter#2352D67
hypocenterC67#22656
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#16863432C2semidirect
3. C22×#14523976C2semidirect
5. #22560977C2semidirect
6. #22560975C2semidirect
7. #22560408C2semidirect
8. #22560406C2semidirect
9. #22560402C2semidirect
10. #22560401C2semidirect
11. #22560371C2semidirect
12. #22560236C2semidirect
13. #22560236C2semidirect
14. C4×#14523976C2semidirect
20. D4×C67⋊C8C4semidirect
68. C22×C67⋊C8C2×C4semidirect
92. #14523976D4semidirect
97. C4⋊(C67⋊C8)C2×C4semidirect
99. C22⋊(C67⋊C8)C2×C4semidirect
100. C4×C67⋊C8C2×C4semidirect
303. C22×C67#427semidirect
352. C67#22656semidirect
640. C22#16863432semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C67⋊C82
C2×#168634322
C22×#145239762
#225631382
#225609772
#225609752
#225604082
#225604062
#225604022
#225604012
#225603712
#225602362
C4×#145239762
C67×#23522
#2265667