Finite Group Databasebeta

← C67×#14877 #30694128

Subgroups — C67×#14877 #30694128

Order 17152.

1870 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Q8×C67C211yesmaximal, characteristic, complemented
2C2×#396×C67C212yesmaximal
3C2×#395×C67C211yesmaximal, characteristic, complemented
4C2×#393×C67C211yesmaximal, characteristic
5C2×#388×C67C211yesmaximal, characteristic
6C67×#1441C211yesmaximal, characteristic, complemented
7C67×#1441C212yesmaximal, complemented
8C67×#1439C211yesmaximal, characteristic
9C67×#1437C212yesmaximal
10C67×#1436C212yesmaximal, complemented
11C67×C4⋊#95C211yesmaximal, characteristic, complemented
12C23×Q8×C67C2211yescharacteristic
13C2×C4×Q8×C67—28no—
14C2×C4×Q8×C67—24no—
15C22×C4⋊C4×C67C2211yescharacteristic
16C22×C4⋊C4×C67C2212yes—
17C22×C4⋊C4×C67C2211yescharacteristic
18C22×C4⋊C4×C67C2212yes—
19C22×C4⋊C4×C67C2212yes—
20C22×C22⋊C4×C67C2211yescharacteristic
21C22×C22⋊C4×C67C2211yescharacteristic
22C22×C22⋊C4×C67C2212yes—
23C22×C22⋊C4×C67C2212yes—
24C22×C22⋊C4×C67C2211yescharacteristic
25C22×C42×C67C2212yes—
26C22×C42×C67C2211yescharacteristic
27#396×C67—28no—
28#395×C67—24no—
29#393×C67—24no—
30#388×C67—24no—
31C2×#95×C67C2211yescharacteristic
32C2×#95×C67C2211yescharacteristic
33C2×#95×C67C2211yescharacteristic
34C2×#95×C67C2212yes—
35C2×#95×C67C2211yescharacteristic
36C2×#95×C67C2212yes—
37C2×#95×C67C2212yes—
38C2×#95×C67C2212yes—
39C2×#95×C67C2212yes—
40C2×#95×C67C2212yes—
41C25×C67C2311yescharacteristic
42C22×Q8×C67—24no—
43C22×Q8×C67—22no—
44C22×Q8×C67—24no—
45C22×Q8×C67—22no—
46C22×Q8×C67D414yes—
47C23×C4×C67C2311yescharacteristic
48C23×C4×C67C2312yes—
49C23×C4×C67C2311yescharacteristic
50C23×C4×C67C2312yes—
51C23×C4×C67C2311yescharacteristic
52C23×C4×C67C2312yes—
53C23×C4×C67C2311yescharacteristic
54C23×C4×C67C2312yes—
55C23×C4×C67C2311yescharacteristic
56C23×C4×C67C2311yescharacteristic
57C4×Q8×C67—232no—
58C2×C4⋊C4×C67—24no—
59C2×C4⋊C4×C67—22no—
60C2×C4⋊C4×C67—24no—
61C2×C4⋊C4×C67—24no—
62C2×C4⋊C4×C67—22no—
63C2×C4⋊C4×C67—22no—
64C2×C4⋊C4×C67—24no—
65C2×C4⋊C4×C67—24no—
66C2×C4⋊C4×C67—24no—
67C2×C4⋊C4×C67—24no—
68C2×C4⋊C4×C67—22no—
69C2×C4⋊C4×C67—24no—
70C2×C4⋊C4×C67—42no—
71C2×C4⋊C4×C67D418yes—
72C2×C22⋊C4×C67—22no—
73C2×C22⋊C4×C67—22no—
74C2×C22⋊C4×C67—22no—
75C2×C22⋊C4×C67—22no—
76C2×C22⋊C4×C67—22no—
77C2×C22⋊C4×C67—24no—
78C2×C22⋊C4×C67—24no—
79C2×C22⋊C4×C67—24no—
80C2×C22⋊C4×C67—24no—
81C2×C22⋊C4×C67—24no—
82C2×C22⋊C4×C67—22no—
83C2×C22⋊C4×C67—24no—
84C2×C22⋊C4×C67—42no—
85C2×C22⋊C4×C67Q814yescomplemented
86C2×C42×C67—24no—
87C2×C42×C67—24no—
88C2×C42×C67—24no—
89C2×C42×C67—24no—
90C2×C42×C67D414yes—
91#95×C67—22no—
92#95×C67—22no—
93#95×C67—22no—
94#95×C67—24no—
95#95×C67—22no—
96#95×C67—24no—
97#95×C67—24no—
98#95×C67—24no—
99#95×C67—24no—
100#95×C67—42no—
101C24×C67—21no—
102C24×C67—22no—
103C24×C67—21no—
104C24×C67—21no—
105C24×C67—22no—
106C24×C67—22no—
107C24×C67—21no—
108C24×C67—21no—
109C24×C67—22no—
110C24×C67—21no—
111C24×C67C2×Q812yes—
112C24×C67C2411yescharacteristic
113C2×Q8×C67—28no—
114C2×Q8×C67—28no—
115C2×Q8×C67—216no—
116C2×Q8×C67—216no—
117C2×Q8×C67—28no—
118C22×C4×C67—22no—
119C22×C4×C67—22no—
120C22×C4×C67—22no—
121C22×C4×C67—22no—
122C22×C4×C67—22no—
123C22×C4×C67—22no—
124C22×C4×C67—22no—
125C22×C4×C67—22no—
126C22×C4×C67—21no—
127C22×C4×C67—22no—
128C22×C4×C67—21no—
129C22×C4×C67—22no—
130C22×C4×C67—22no—
131C22×C4×C67—22no—
132C22×C4×C67—21no—
133C22×C4×C67—22no—
134C22×C4×C67—21no—
135C22×C4×C67—21no—
136C22×C4×C67—22no—
137C22×C4×C67—22no—
138C22×C4×C67—21no—
139C22×C4×C67—22no—
140C22×C4×C67—22no—
141C22×C4×C67—22no—
142C22×C4×C67—22no—
143C22×C4×C67—21no—
144C22×C4×C67—22no—
145C22×C4×C67—22no—
146C22×C4×C67—21no—
147C22×C4×C67—21no—
148C22×C4×C67—22no—
149C22×C4×C67—22no—
150C22×C4×C67—21no—
151C22×C4×C67—21no—
152C22×C4×C67—22no—
153C22×C4×C67—21no—
154C22×C4×C67—22no—
155C22×C4×C67—21no—
156C22×C4×C67—22no—
157C22×C4×C67—21no—
158C22×C4×C67—22no—
159C22×C4×C67—22no—
160C22×C4×C67—22no—
161C22×C4×C67—22no—
162C22×C4×C67—22no—
163C22×C4×C67—22no—
164C22×C4×C67C2×D414yes—
165C22×C4×C67C2×D414yes—
166C22×C4×C67C2×D412yes—
167C22×C4×C67C2×D414yes—
168C22×C4×C67C2×D412yes—
169C22×C4×C67C2×D412yes—
170C22×C4×C67C2×D414yes—
171C22×C4×C67C2×D412yes—
172C22×C4×C67C2×Q812yes—
173C22×C4×C67C2×Q812yes—
174C22×C4×C67#4114yes—
175C22×C4×C67#4114yes—
176C22×C4×C67#4112yes—
177C22×C4×C67#4112yes—
178C4⋊C4×C67—28no—
179C4⋊C4×C67—216no—
180C4⋊C4×C67—48no—
181C4⋊C4×C67—44no—
182C4⋊C4×C67—48no—
183C22⋊C4×C67—28no—
184C22⋊C4×C67—48no—
185C22⋊C4×C67—44no—
186C22⋊C4×C67—44no—
187C22⋊C4×C67—48no—
188C42×C67—216no—
189C42×C67—28no—
190C23×C67—22no—
191C23×C67—24no—
192C23×C67—24no—
193C23×C67—22no—
194C23×C67—22no—
195C23×C67—41no—
196C23×C67—42no—
197C23×C67—41no—
198C23×C67—41no—
199C23×C67—42no—
200C23×C67—42no—
201C23×C67—41no—
202C23×C67—41no—
203C23×C67—41no—
204C23×C67—42no—
205C23×C67—42no—
206C23×C67—42no—
207C23×C67—42no—
208C23×C67—42no—
209C23×C67—42no—
210C23×C67—41no—
211C23×C67—42no—
212C23×C67—41no—
213C23×C67C22×D411yescharacteristic
214C23×C67C22×D412yes—
215C23×C67C22×D411yescharacteristic
216C23×C67C22×Q811yescharacteristic
217C23×C67C2×#4112yes—
218C23×C67C2×#4111yescharacteristic
219C23×C67C2×#4111yescharacteristic
220C23×C67C2×#4112yes—
221C23×C67H(5,𝔽2)11yescharacteristic
222C23×C672−1+412yes—
223C23×C672−1+411yescharacteristic
224Q8×C67—232no—
225C2×C4×C67—22no—
226C2×C4×C67—24no—
227C2×C4×C67—22no—
228C2×C4×C67—24no—
229C2×C4×C67—24no—
230C2×C4×C67—24no—
231C2×C4×C67—22no—
232C2×C4×C67—24no—
233C2×C4×C67—24no—
234C2×C4×C67—24no—
235C2×C4×C67—24no—
236C2×C4×C67—22no—
237C2×C4×C67—22no—
238C2×C4×C67—22no—
239C2×C4×C67—24no—
240C2×C4×C67—24no—
241C2×C4×C67—24no—
242C2×C4×C67—24no—
243C2×C4×C67—24no—
244C2×C4×C67—22no—
245C2×C4×C67—24no—
246C2×C4×C67—24no—
247C2×C4×C67—24no—
248C2×C4×C67—24no—
249C2×C4×C67—24no—
250C2×C4×C67—22no—
251C2×C4×C67—22no—
252C2×C4×C67—42no—
253C2×C4×C67—41no—
254C2×C4×C67—42no—
255C2×C4×C67—42no—
256C2×C4×C67—41no—
257C2×C4×C67—42no—
258C2×C4×C67—42no—
259C2×C4×C67—42no—
260C2×C4×C67—42no—
261C2×C4×C67—42no—
262C2×C4×C67—41no—
263C2×C4×C67—41no—
264C2×C4×C67—41no—
265C2×C4×C67—42no—
266C2×C4×C67—41no—
267C2×C4×C67—42no—
268C2×C4×C67—41no—
269C2×C4×C67—41no—
270C2×C4×C67—42no—
271C2×C4×C67—42no—
272C2×C4×C67—41no—
273C2×C4×C67—41no—
274C2×C4×C67—42no—
275C2×C4×C67—42no—
276C2×C4×C67—42no—
277C2×C4×C67—42no—
278C2×C4×C67—42no—
279C2×C4×C67—42no—
280C2×C4×C67—42no—
281C2×C4×C67#12014yes—
282C2×C4×C67#12118yes—
283C2×C4×C67#12114yes—
284C2×C4×C67C22⋊Q814yes—
285C22×C67—42no—
286C22×C67—42no—
287C22×C67—44no—
288C22×C67—44no—
289C22×C67—42no—
290C22×C67—81no—
291C22×C67—81no—
292C22×C67—82no—
293C22×C67—81no—
294C22×C67—82no—
295C22×C67—81no—
296C22×C67C2×#12011yescharacteristic
297C22×C67C2×#12112yes—
298C22×C67C2×#12111yescharacteristic
299C22×C67C2×C22⋊Q811yescharacteristic
300C22×C67#52511yescharacteristic
301C22×C67#52512yes—
302C22×C67#52912yes—
303C22×C67#53211yescharacteristic
304C22×C67#53312yes—
305C22×C67#53611yescharacteristic
306C22×C67#53711yescharacteristic
307C22×C67#54112yes—
308C22×C67#54212yes—
309C22×C67#54612yes—
310C22×C67#54712yes—
311C22×C67#54812yes—
312C22×C67#54812yes—
313C22×C67D4×Q812yes—
314C22×C67D4×Q811yescharacteristic
315C22×C67#55011yescharacteristic
316C22×C67#55411yescharacteristic
317C22×C67#55612yes—
318C22×C67#55611yescharacteristic
319C4×C67—28no—
320C4×C67—24no—
321C4×C67—24no—
322C4×C67—24no—
323C4×C67—44no—
324C4×C67—44no—
325C4×C67—42no—
326C4×C67—81no—
327C4×C67—82no—
328C4×C67—81no—
329#14877C6711yesmaximal, characteristic, direct product factor, Sylow
330C2×C67—82no—
331C2×C67#239611yescharacteristic
332C2×C67#240911yescharacteristic
333C2×C67#242612yes—
334C2×C67#242912yes—
335C2×C67#243011yescharacteristic
336C2×C67#246512yes—
337C2×C67#246912yes—
338C2×C67#253811yescharacteristic
339C2×C67#254511yescharacteristic
340C2×C67#263711yescharacteristic
341C2×C67#284711yescharacteristic
342C22×C4×Q8C2×C6711yescharacteristic, complemented
343C2×#396C2×C6712yes—
344C2×#395C2×C6711yescharacteristic, complemented
345C2×#393C2×C6711yescharacteristic
346C2×#388C2×C6711yescharacteristic
347#1441C2×C6711yescharacteristic, complemented
348#1441C2×C6712yescomplemented
349#1439C2×C6711yescharacteristic
350#1437C2×C6712yes—
351#1436C2×C6712yescomplemented
352C4⋊#95C2×C6711yescharacteristic, complemented
353C67#1487711yescharacteristic, direct product factor, Sylow
354C23×Q8C22×C6711yescharacteristic
355C2×C4×Q8—28no—
356C2×C4×Q8—24no—
357C22×C4⋊C4C22×C6712yes—
358C22×C4⋊C4C22×C6711yescharacteristic
359C22×C4⋊C4C22×C6711yescharacteristic
360C22×C4⋊C4C22×C6712yes—
361C22×C4⋊C4C22×C6712yes—
362C22×C22⋊C4C22×C6712yes—
363C22×C22⋊C4C22×C6711yescharacteristic
364C22×C22⋊C4C22×C6711yescharacteristic
365C22×C22⋊C4C22×C6712yes—
366C22×C22⋊C4C22×C6711yescharacteristic
367C22×C42C22×C6712yes—
368C22×C42C22×C6711yescharacteristic
369#396—28no—
370#395—24no—
371#393—24no—
372#388—24no—
373C2×#95C22×C6711yescharacteristic
374C2×#95C22×C6712yes—
375C2×#95C22×C6711yescharacteristic
376C2×#95C22×C6712yes—
377C2×#95C22×C6712yes—
378C2×#95C22×C6712yes—
379C2×#95C22×C6711yescharacteristic
380C2×#95C22×C6712yes—
381C2×#95C22×C6711yescharacteristic
382C2×#95C22×C6712yes—
383C25C23×C6711yescharacteristic
384C22×Q8—24no—
385C22×Q8—22no—
386C22×Q8—24no—
387C22×Q8—22no—
388C22×Q8D4×C6714yes—
389C23×C4C23×C6711yescharacteristic
390C23×C4C23×C6712yes—
391C23×C4C23×C6711yescharacteristic
392C23×C4C23×C6712yes—
393C23×C4C23×C6711yescharacteristic
394C23×C4C23×C6712yes—
395C23×C4C23×C6711yescharacteristic
396C23×C4C23×C6712yes—
397C23×C4C23×C6711yescharacteristic
398C23×C4C23×C6711yescharacteristic
399C4×Q8—232no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—42no—
413C2×C4⋊C4D4×C6718yes—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—22no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—42no—
427C2×C22⋊C4Q8×C6714yescomplemented
428C2×C42—24no—
429C2×C42—24no—
430C2×C42—24no—
431C2×C42—24no—
432C2×C42D4×C6714yes—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—24no—
437#95—22no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—42no—
443C24—21no—
444C24—22no—
445C24—21no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—21no—
453C24C2×Q8×C6712yes—
454C24C24×C6711yescharacteristic
455C2×Q8—28no—
456C2×Q8—28no—
457C2×Q8—216no—
458C2×Q8—28no—
459C2×Q8—216no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4C2×D4×C6714yes—
507C22×C4C2×D4×C6712yes—
508C22×C4C2×D4×C6714yes—
509C22×C4C2×D4×C6714yes—
510C22×C4C2×D4×C6712yes—
511C22×C4C2×D4×C6714yes—
512C22×C4C2×D4×C6712yes—
513C22×C4C2×D4×C6712yes—
514C22×C4C2×Q8×C6712yes—
515C22×C4C2×Q8×C6712yes—
516C22×C4#41×C6714yes—
517C22×C4#41×C6714yes—
518C22×C4#41×C6712yes—
519C22×C4#41×C6712yes—
520C4⋊C4—28no—
521C4⋊C4—216no—
522C4⋊C4—48no—
523C4⋊C4—44no—
524C4⋊C4—48no—
525C22⋊C4—28no—
526C22⋊C4—48no—
527C22⋊C4—44no—
528C22⋊C4—44no—
529C22⋊C4—48no—
530C42—216no—
531C42—28no—
532C23—22no—
533C23—24no—
534C23—22no—
535C23—24no—
536C23—22no—
537C23—41no—
538C23—41no—
539C23—42no—
540C23—41no—
541C23—42no—
542C23—42no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—41no—
553C23—41no—
554C23—42no—
555C23C22×D4×C6711yescharacteristic
556C23C22×D4×C6712yes—
557C23C22×D4×C6711yescharacteristic
558C23C22×Q8×C6711yescharacteristic
559C23C2×#41×C6712yes—
560C23C2×#41×C6711yescharacteristic
561C23C2×#41×C6711yescharacteristic
562C23C2×#41×C6712yes—
563C23H(5,𝔽2)×C6711yescharacteristic
564C232−1+4×C6712yes—
565C232−1+4×C6711yescharacteristic
566Q8—232no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—41no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4#120×C6714yes—
624C2×C4#121×C6714yes—
625C2×C4#121×C6718yes—
626C2×C4C22⋊Q8×C6714yes—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—44no—
631C22—44no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—82no—
636C22—81no—
637C22—82no—
638C22C2×#120×C6711yescharacteristic
639C22C2×#121×C6711yescharacteristic
640C22C2×#121×C6712yes—
641C22C2×C22⋊Q8×C6711yescharacteristic
642C22#525×C6711yescharacteristic
643C22#525×C6712yes—
644C22#529×C6712yes—
645C22#532×C6711yescharacteristic
646C22#533×C6712yes—
647C22#536×C6711yescharacteristic
648C22#537×C6711yescharacteristic
649C22#541×C6712yes—
650C22#542×C6712yes—
651C22#546×C6712yes—
652C22#547×C6712yes—
653C22#548×C6712yes—
654C22#548×C6712yes—
655C22D4×Q8×C6711yescharacteristic
656C22D4×Q8×C6712yes—
657C22#550×C6711yescharacteristic
658C22#554×C6711yescharacteristic
659C22#556×C6711yescharacteristic
660C22#556×C6712yes—
661C4—28no—
662C4—24no—
663C4—24no—
664C4—24no—
665C4—42no—
666C4—44no—
667C4—44no—
668C4—81no—
669C4—81no—
670C4—82no—
671C2—82no—
672C2C67×#239611yescharacteristic
673C2C67×#240911yescharacteristic
674C2C67×#242612yes—
675C2C67×#242912yes—
676C2C67×#243011yescharacteristic
677C2C67×#246512yes—
678C2C67×#246912yes—
679C2C67×#253811yescharacteristic
680C2C67×#254511yescharacteristic
681C2C67×#263711yescharacteristic
682C2C67×#284711yescharacteristic
subgroupG/H
center, socleC24×C67C24
commutator, Frattini, cosocleC24C24×C67
prime radicalC25×C67C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×Q8×C67C2semidirect
3. C2×#395×C67C2semidirect
6. C67×#1441C2semidirect
7. C67×#1441C2semidirect
10. C67×#1436C2semidirect
11. C67×C4⋊#95C2semidirect
85. C2×C22⋊C4×C67Q8semidirect
329. #14877C67direct (N × H)
342. C22×C4×Q8C2×C67semidirect
344. C2×#395C2×C67semidirect
347. #1441C2×C67semidirect
348. #1441C2×C67semidirect
351. #1436C2×C67semidirect
352. C4⋊#95C2×C67semidirect
353. C67#14877direct (N × H)
427. C2×C22⋊C4Q8×C67semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Q8×C672
C2×#396×C672
C2×#395×C672
C2×#393×C672
C2×#388×C672
C67×#14412
C67×#14392
C67×#14372
C67×#14362
C67×C4⋊#952
#1487767