Finite Group Databasebeta

← C67×#33047 #30712298

Subgroups — C67×#33047 #30712298

Order 17152.

864 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#488×C67C211yesmaximal, characteristic, complemented
2C2×#405×C67C211yesmaximal, characteristic, complemented
3C67×#2629C211yesmaximal, characteristic, complemented
4C67×#2620C211yesmaximal, characteristic
5C67×#1992C211yesmaximal, characteristic, complemented
6C67×#1959C211yesmaximal, characteristic, complemented
7C67×#1936C211yesmaximal, characteristic, complemented
8C67×#1935C211yesmaximal, characteristic, complemented
9C67×#1934C211yesmaximal, characteristic, complemented
10C67×#1933C211yesmaximal, characteristic, complemented
11C67×#1895C211yesmaximal, characteristic
12C67×#1894C211yesmaximal, characteristic, complemented
13C67×#1893C211yesmaximal, characteristic
14C67×#1892C211yesmaximal, characteristic, complemented
15C67×#1834C211yesmaximal, characteristic, complemented
16C22×M16×C67C2211yescharacteristic
17C23×C8×C67C2211yescharacteristic
18C2×#125×C67C2211yescharacteristic
19C2×#124×C67C2211yescharacteristic
20C2×C22⋊Q8×C67C2211yescharacteristic
21C2×#121×C67C2211yescharacteristic
22C2×#117×C67C2211yescharacteristic
23#488×C67—24no—
24C2×#103×C67C2211yescharacteristic
25C2×#103×C67C2211yescharacteristic
26C2×#103×C67C2211yescharacteristic
27C2×#103×C67C2211yescharacteristic
28C2×#102×C67C2211yescharacteristic
29C2×#102×C67C2211yescharacteristic
30C2×#102×C67C2211yescharacteristic
31C2×#102×C67C2211yescharacteristic
32#405×C67—24no—
33C2×#97×C67C2211yescharacteristic
34C2×#97×C67C2211yescharacteristic
35C2×C4×C8×C67C2211yescharacteristic
36C2×C4×C8×C67C2211yescharacteristic
37#398×C67—21no—
38#398×C67—21no—
39#396×C67—21no—
40#396×C67—21no—
41#396×C67—21no—
42#396×C67—21no—
43#394×C67—21no—
44#394×C67—21no—
45#391×C67C2211yescharacteristic
46#390×C67C2211yescharacteristic
47#389×C67C2211yescharacteristic
48#389×C67C2211yescharacteristic
49#384×C67C2211yescharacteristic
50#384×C67C2211yescharacteristic
51#380×C67C2211yescharacteristic
52#380×C67C2211yescharacteristic
53#340×C67C2211yescharacteristic
54#340×C67C2211yescharacteristic
55#340×C67C2211yescharacteristic
56#340×C67C2211yescharacteristic
57#340×C67C2211yescharacteristic
58#340×C67C2211yescharacteristic
59#340×C67C2211yescharacteristic
60#340×C67C2211yescharacteristic
61C22×Q8×C67C2311yescharacteristic
62C22×D4×C67—21no—
63C22×D4×C67C2311yescharacteristic
64C23×C4×C67C2311yescharacteristic
65C2×M16×C67—22no—
66C2×M16×C67—22no—
67C2×M16×C67—22no—
68C22×C8×C67—22no—
69C22×C8×C67—22no—
70C22×C8×C67—22no—
71C22×C8×C67C2311yescharacteristic
72C22×C8×C67C2311yescharacteristic
73C22×C8×C67C2311yescharacteristic
74C22×C8×C67C2311yescharacteristic
75#125×C67—22no—
76#125×C67—22no—
77#124×C67—22no—
78#124×C67—22no—
79C22⋊Q8×C67—22no—
80C22⋊Q8×C67—22no—
81#121×C67—22no—
82#121×C67—22no—
83#117×C67—22no—
84#117×C67—22no—
85C2×C4⋊C4×C67—21no—
86C2×C4⋊C4×C67—21no—
87C2×C4⋊C4×C67—21no—
88C2×C4⋊C4×C67—21no—
89C2×C4⋊C4×C67—21no—
90C2×C4⋊C4×C67—21no—
91C2×C4⋊C4×C67—21no—
92C2×C4⋊C4×C67—21no—
93C2×C4⋊C4×C67—21no—
94C2×C4⋊C4×C67D411yescharacteristic
95C2×C4⋊C4×C67D411yescharacteristic
96C2×C4⋊C4×C67C2311yescharacteristic
97C2×C4⋊C4×C67C2311yescharacteristic
98C2×C4⋊C4×C67C2311yescharacteristic
99C2×C4⋊C4×C67C2311yescharacteristic
100C2×C4⋊C4×C67C2311yescharacteristic
101C2×C4⋊C4×C67C2311yescharacteristic
102C2×C22⋊C4×C67—21no—
103C2×C22⋊C4×C67—21no—
104C2×C22⋊C4×C67—21no—
105C2×C22⋊C4×C67—21no—
106C2×C22⋊C4×C67—21no—
107C2×C22⋊C4×C67—21no—
108C2×C22⋊C4×C67—21no—
109C2×C22⋊C4×C67—21no—
110C2×C22⋊C4×C67D411yescharacteristic
111C2×C22⋊C4×C67D411yescharacteristic
112C2×C42×C67C2311yescharacteristic
113C2×C42×C67C2311yescharacteristic
114#103×C67—22no—
115#103×C67—22no—
116#103×C67—22no—
117#103×C67—22no—
118#102×C67—22no—
119#102×C67—22no—
120#102×C67—22no—
121#102×C67—22no—
122#97×C67—22no—
123#97×C67—22no—
124C4×C8×C67—22no—
125C4×C8×C67D414yescomplemented
126#95×C67—21no—
127#95×C67—21no—
128#95×C67—21no—
129#95×C67—21no—
130#95×C67—21no—
131#95×C67—21no—
132C24×C67—21no—
133C24×C67C2×D411yescharacteristic
134C2×Q8×C67—21no—
135C2×Q8×C67—21no—
136C2×Q8×C67—21no—
137C2×Q8×C67—21no—
138C2×Q8×C67—21no—
139C2×Q8×C67—21no—
140C2×D4×C67—21no—
141C2×D4×C67—21no—
142C2×D4×C67—21no—
143C2×D4×C67—21no—
144C2×D4×C67—21no—
145C2×D4×C67—21no—
146C2×D4×C67—42no—
147C2×D4×C67—81no—
148C2×D4×C67—81no—
149C22×C4×C67—21no—
150C22×C4×C67—21no—
151C22×C4×C67—21no—
152C22×C4×C67—21no—
153C22×C4×C67—21no—
154C22×C4×C67—21no—
155C22×C4×C67—21no—
156C22×C4×C67—21no—
157C22×C4×C67—21no—
158C22×C4×C67—21no—
159C22×C4×C67—21no—
160C22×C4×C67C2×D411yescharacteristic
161C22×C4×C67C2×D411yescharacteristic
162C22×C4×C67C2×D411yescharacteristic
163C22×C4×C67C2×D411yescharacteristic
164C22×C4×C67C2×D411yescharacteristic
165C22×C4×C67#4112yes—
166C22×C4×C67#4112yes—
167C22×C4×C67C2411yescharacteristic
168M16×C67—28no—
169C2×C8×C67—28no—
170C2×C8×C67—21no—
171C2×C8×C67—21no—
172C2×C8×C67—21no—
173C2×C8×C67—21no—
174C2×C8×C67—21no—
175C2×C8×C67—21no—
176C2×C8×C67—21no—
177C2×C8×C67—21no—
178C2×C8×C67C2×D412yes—
179C2×C8×C67C2×D412yes—
180C2×C8×C67#4112yes—
181C2×C8×C67#4112yes—
182C4⋊C4×C67—22no—
183C4⋊C4×C67—22no—
184C4⋊C4×C67—21no—
185C4⋊C4×C67—21no—
186C4⋊C4×C67—21no—
187C4⋊C4×C67—21no—
188C4⋊C4×C67—21no—
189C4⋊C4×C67—21no—
190C4⋊C4×C67—21no—
191C4⋊C4×C67—21no—
192C4⋊C4×C67—21no—
193C4⋊C4×C67—21no—
194C4⋊C4×C67—21no—
195C4⋊C4×C67—21no—
196C4⋊C4×C67—42no—
197C4⋊C4×C67—42no—
198C4⋊C4×C67—42no—
199C4⋊C4×C67—81no—
200C4⋊C4×C67—81no—
201C4⋊C4×C67—81no—
202C4⋊C4×C67—81no—
203C4⋊C4×C67—81no—
204C4⋊C4×C67—81no—
205C22⋊C4×C67—22no—
206C22⋊C4×C67—22no—
207C22⋊C4×C67—42no—
208C22⋊C4×C67—42no—
209C22⋊C4×C67—42no—
210C22⋊C4×C67—42no—
211C22⋊C4×C67—81no—
212C22⋊C4×C67—81no—
213C22⋊C4×C67—81no—
214C22⋊C4×C67—81no—
215C42×C67—21no—
216C42×C67—21no—
217C42×C67C2×D412yes—
218C42×C67#4112yes—
219C23×C67—21no—
220C23×C67—21no—
221C23×C67—21no—
222C23×C67—21no—
223C23×C67—21no—
224C23×C67—21no—
225C23×C67—41no—
226C23×C67—41no—
227C23×C67—41no—
228C23×C67—41no—
229C23×C67—41no—
230C23×C67—41no—
231C23×C67—41no—
232C23×C67#12412yes—
233C23×C67C22×D411yescharacteristic
234Q8×C67—41no—
235Q8×C67—41no—
236Q8×C67—41no—
237Q8×C67—41no—
238D4×C67—41no—
239D4×C67—41no—
240D4×C67—41no—
241D4×C67—41no—
242D4×C67—84no—
243C2×C4×C67—21no—
244C2×C4×C67—21no—
245C2×C4×C67—21no—
246C2×C4×C67—21no—
247C2×C4×C67—21no—
248C2×C4×C67—21no—
249C2×C4×C67—22no—
250C2×C4×C67—22no—
251C2×C4×C67—22no—
252C2×C4×C67—22no—
253C2×C4×C67—21no—
254C2×C4×C67—21no—
255C2×C4×C67—21no—
256C2×C4×C67—21no—
257C2×C4×C67—21no—
258C2×C4×C67—21no—
259C2×C4×C67—41no—
260C2×C4×C67—41no—
261C2×C4×C67—41no—
262C2×C4×C67—41no—
263C2×C4×C67—41no—
264C2×C4×C67—41no—
265C2×C4×C67—41no—
266C2×C4×C67—41no—
267C2×C4×C67—41no—
268C2×C4×C67—41no—
269C2×C4×C67—41no—
270C2×C4×C67—41no—
271C2×C4×C67—41no—
272C2×C4×C67—41no—
273C2×C4×C67—41no—
274C2×C4×C67—41no—
275C2×C4×C67—41no—
276C2×C4×C67—41no—
277C2×C4×C67—41no—
278C2×C4×C67—41no—
279C2×C4×C67—41no—
280C2×C4×C67#12112yes—
281C2×C4×C67#12112yes—
282C2×C4×C67#12412yes—
283C2×C4×C67C22×D411yescharacteristic
284C2×C4×C67C2×#4111yescharacteristic
285C2×C4×C67C2×#4111yescharacteristic
286C2×C4×C67C2×#4111yescharacteristic
287C2×C4×C67C2×#4111yescharacteristic
288C2×C4×C67C2×#4111yescharacteristic
289C8×C67—22no—
290C8×C67—22no—
291C8×C67—22no—
292C8×C67—22no—
293C22×C67—22no—
294C22×C67—22no—
295C22×C67—22no—
296C22×C67—41no—
297C22×C67—41no—
298C22×C67—41no—
299C22×C67—41no—
300C22×C67—81no—
301C22×C67—81no—
302C22×C67—81no—
303C22×C67—81no—
304C22×C67—81no—
305C22×C67—81no—
306C22×C67—81no—
307C22×C67C2×#12111yescharacteristic
308C22×C67C2×#12411yescharacteristic
309C22×C67#53211yescharacteristic
310C22×C67#57611yescharacteristic
311C22×C67#57711yescharacteristic
312C22×C67#57711yescharacteristic
313C22×C67#57811yescharacteristic
314C4×C67—22no—
315C4×C67—22no—
316C4×C67—22no—
317C4×C67—41no—
318C4×C67—41no—
319C4×C67—81no—
320C4×C67—81no—
321C4×C67—81no—
322C4×C67—81no—
323C4×C67—81no—
324C4×C67—81no—
325C4×C67—81no—
326C4×C67#52511yescharacteristic
327C4×C67#52511yescharacteristic
328C4×C67#52911yescharacteristic
329C4×C67#52911yescharacteristic
330#33047C6711yesmaximal, characteristic, direct product factor, Sylow
331C2×C67—42no—
332C2×C67—161no—
333C2×C67#285011yescharacteristic
334C2×C67#306011yescharacteristic
335C2×C67#306111yescharacteristic
336C2×C67#313611yescharacteristic
337C2×C67#313711yescharacteristic
338C2×C67#317811yescharacteristic
339C2×C67#317911yescharacteristic
340C2×#488C2×C6711yescharacteristic, complemented
341C2×#405C2×C6711yescharacteristic, complemented
342#2629C2×C6711yescharacteristic, complemented
343#2620C2×C6711yescharacteristic
344#1992C2×C6711yescharacteristic, complemented
345#1959C2×C6711yescharacteristic, complemented
346#1936C2×C6711yescharacteristic, complemented
347#1935C2×C6711yescharacteristic, complemented
348#1934C2×C6711yescharacteristic, complemented
349#1933C2×C6711yescharacteristic, complemented
350#1895C2×C6711yescharacteristic
351#1894C2×C6711yescharacteristic, complemented
352#1893C2×C6711yescharacteristic
353#1892C2×C6711yescharacteristic, complemented
354#1834C2×C6711yescharacteristic, complemented
355C67#3304711yescharacteristic, direct product factor, Sylow
356C22×M16C22×C6711yescharacteristic
357C23×C8C22×C6711yescharacteristic
358C2×#125C22×C6711yescharacteristic
359C2×#124C22×C6711yescharacteristic
360C2×C22⋊Q8C22×C6711yescharacteristic
361C2×#121C22×C6711yescharacteristic
362C2×#117C22×C6711yescharacteristic
363#488—24no—
364C2×#103C22×C6711yescharacteristic
365C2×#103C22×C6711yescharacteristic
366C2×#103C22×C6711yescharacteristic
367C2×#103C22×C6711yescharacteristic
368C2×#102C22×C6711yescharacteristic
369C2×#102C22×C6711yescharacteristic
370C2×#102C22×C6711yescharacteristic
371C2×#102C22×C6711yescharacteristic
372#405—24no—
373C2×#97C22×C6711yescharacteristic
374C2×#97C22×C6711yescharacteristic
375C2×C4×C8C22×C6711yescharacteristic
376C2×C4×C8C22×C6711yescharacteristic
377#398—21no—
378#398—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#394—21no—
384#394—21no—
385#391C22×C6711yescharacteristic
386#390C22×C6711yescharacteristic
387#389C22×C6711yescharacteristic
388#389C22×C6711yescharacteristic
389#384C22×C6711yescharacteristic
390#384C22×C6711yescharacteristic
391#380C22×C6711yescharacteristic
392#380C22×C6711yescharacteristic
393#340C22×C6711yescharacteristic
394#340C22×C6711yescharacteristic
395#340C22×C6711yescharacteristic
396#340C22×C6711yescharacteristic
397#340C22×C6711yescharacteristic
398#340C22×C6711yescharacteristic
399#340C22×C6711yescharacteristic
400#340C22×C6711yescharacteristic
401C22×Q8C23×C6711yescharacteristic
402C22×D4—21no—
403C22×D4C23×C6711yescharacteristic
404C23×C4C23×C6711yescharacteristic
405C2×M16—22no—
406C2×M16—22no—
407C2×M16—22no—
408C22×C8—22no—
409C22×C8—22no—
410C22×C8—22no—
411C22×C8C23×C6711yescharacteristic
412C22×C8C23×C6711yescharacteristic
413C22×C8C23×C6711yescharacteristic
414C22×C8C23×C6711yescharacteristic
415#125—22no—
416#125—22no—
417#124—22no—
418#124—22no—
419C22⋊Q8—22no—
420C22⋊Q8—22no—
421#121—22no—
422#121—22no—
423#117—22no—
424#117—22no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C6711yescharacteristic
435C2×C4⋊C4D4×C6711yescharacteristic
436C2×C4⋊C4C23×C6711yescharacteristic
437C2×C4⋊C4C23×C6711yescharacteristic
438C2×C4⋊C4C23×C6711yescharacteristic
439C2×C4⋊C4C23×C6711yescharacteristic
440C2×C4⋊C4C23×C6711yescharacteristic
441C2×C4⋊C4C23×C6711yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4D4×C6711yescharacteristic
451C2×C22⋊C4D4×C6711yescharacteristic
452C2×C42C23×C6711yescharacteristic
453C2×C42C23×C6711yescharacteristic
454#103—22no—
455#103—22no—
456#103—22no—
457#103—22no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#97—22no—
463#97—22no—
464C4×C8—22no—
465C4×C8D4×C6714yescomplemented
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472C24—21no—
473C24C2×D4×C6711yescharacteristic
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—42no—
487C2×D4—81no—
488C2×D4—81no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4C2×D4×C6711yescharacteristic
501C22×C4C2×D4×C6711yescharacteristic
502C22×C4C2×D4×C6711yescharacteristic
503C22×C4C2×D4×C6711yescharacteristic
504C22×C4C2×D4×C6711yescharacteristic
505C22×C4#41×C6712yes—
506C22×C4#41×C6712yes—
507C22×C4C24×C6711yescharacteristic
508M16—28no—
509C2×C8—28no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8C2×D4×C6712yes—
519C2×C8C2×D4×C6712yes—
520C2×C8#41×C6712yes—
521C2×C8#41×C6712yes—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C42—21no—
556C42—21no—
557C42C2×D4×C6712yes—
558C42#41×C6712yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23#124×C6712yes—
573C23C22×D4×C6711yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—84no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4#121×C6712yes—
621C2×C4#121×C6712yes—
622C2×C4#124×C6712yes—
623C2×C4C22×D4×C6711yescharacteristic
624C2×C4C2×#41×C6711yescharacteristic
625C2×C4C2×#41×C6711yescharacteristic
626C2×C4C2×#41×C6711yescharacteristic
627C2×C4C2×#41×C6711yescharacteristic
628C2×C4C2×#41×C6711yescharacteristic
629C8—22no—
630C8—22no—
631C8—22no—
632C8—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C2×#121×C6711yescharacteristic
648C22C2×#124×C6711yescharacteristic
649C22#532×C6711yescharacteristic
650C22#576×C6711yescharacteristic
651C22#577×C6711yescharacteristic
652C22#577×C6711yescharacteristic
653C22#578×C6711yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4#525×C6711yescharacteristic
667C4#525×C6711yescharacteristic
668C4#529×C6711yescharacteristic
669C4#529×C6711yescharacteristic
670C2—42no—
671C2—161no—
672C2C67×#285011yescharacteristic
673C2C67×#306011yescharacteristic
674C2C67×#306111yescharacteristic
675C2C67×#313611yescharacteristic
676C2C67×#313711yescharacteristic
677C2C67×#317811yescharacteristic
678C2C67×#317911yescharacteristic
subgroupG/H
center, socleC23×C67C22×D4
commutator, Frattini, cosocleC22×C4C24×C67
prime radicalC2×#121×C67C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C67 ◁ C2×#117×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#488×C67C2semidirect
2. C2×#405×C67C2semidirect
3. C67×#2629C2semidirect
5. C67×#1992C2semidirect
6. C67×#1959C2semidirect
7. C67×#1936C2semidirect
8. C67×#1935C2semidirect
9. C67×#1934C2semidirect
10. C67×#1933C2semidirect
12. C67×#1894C2semidirect
14. C67×#1892C2semidirect
15. C67×#1834C2semidirect
125. C4×C8×C67D4semidirect
330. #33047C67direct (N × H)
340. C2×#488C2×C67semidirect
341. C2×#405C2×C67semidirect
342. #2629C2×C67semidirect
344. #1992C2×C67semidirect
345. #1959C2×C67semidirect
346. #1936C2×C67semidirect
347. #1935C2×C67semidirect
348. #1934C2×C67semidirect
349. #1933C2×C67semidirect
351. #1894C2×C67semidirect
353. #1892C2×C67semidirect
354. #1834C2×C67semidirect
355. C67#33047direct (N × H)
465. C4×C8D4×C67semidirect

Maximal subgroups

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

subgroupindex
C2×#488×C672
C2×#405×C672
C67×#26292
C67×#26202
C67×#19922
C67×#19592
C67×#19362
C67×#19352
C67×#19342
C67×#19332
C67×#18952
C67×#18942
C67×#18932
C67×#18922
C67×#18342
#3304767