Finite Group Databasebeta

← C67×#26190 #30705441

Subgroups — C67×#26190 #30705441

Order 17152.

766 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3096C211yesmaximal, characteristic, complemented
2C67×#3045C211yesmaximal, characteristic
3C67×#2951C211yesmaximal, characteristic, complemented
4C67×#2913C211yesmaximal, characteristic, complemented
5C67×#2093C211yesmaximal, characteristic, complemented
6C67×#2089C211yesmaximal, characteristic, complemented
7C67×#2078C211yesmaximal, characteristic, complemented
8C67×#2037C211yesmaximal, characteristic, complemented
9C67×#1931C211yesmaximal, characteristic, complemented
10C67×#1922C211yesmaximal, characteristic, complemented
11C67×#1907C211yesmaximal, characteristic, complemented
12C67×#1883C211yesmaximal, characteristic, complemented
13C67×#1876C211yesmaximal, characteristic, complemented
14C67×#1859C211yesmaximal, characteristic, complemented
15C67×#1859C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
17C2×#135×C67C2211yescharacteristic
18C2×#131×C67C2211yescharacteristic
19#535×C67C2211yescharacteristic
20#520×C67C2211yescharacteristic
21#520×C67C2211yescharacteristic
22#520×C67C2211yescharacteristic
23#482×C67—21no—
24#482×C67—21no—
25#481×C67—21no—
26#480×C67—21no—
27#464×C67—21no—
28#463×C67—21no—
29#460×C67—21no—
30#459×C67—21no—
31#440×C67—21no—
32#440×C67—21no—
33C4×Q16×C67—21no—
34C4×D8×C67—21no—
35#428×C67—21no—
36#428×C67—21no—
37#428×C67C2211yescharacteristic
38#428×C67C2211yescharacteristic
39#428×C67C2211yescharacteristic
40#427×C67—21no—
41#427×C67C2211yescharacteristic
42C2×#107×C67—21no—
43C2×#107×C67C2211yescharacteristic
44C2×#107×C67C2211yescharacteristic
45#424×C67C2211yescharacteristic
46C2×#104×C67C2211yescharacteristic
47C2×#104×C67C2211yescharacteristic
48#418×C67C2211yescharacteristic
49#417×C67C2211yescharacteristic
50#417×C67C2211yescharacteristic
51#417×C67C2211yescharacteristic
52C2×#102×C67C2211yescharacteristic
53C2×#102×C67C2211yescharacteristic
54C2×#100×C67C2211yescharacteristic
55#408×C67C2211yescharacteristic
56#405×C67C2211yescharacteristic
57#390×C67C2211yescharacteristic
58#384×C67C2211yescharacteristic
59#343×C67C2211yescharacteristic
60#343×C67C2211yescharacteristic
61#343×C67C2211yescharacteristic
62#341×C67C2211yescharacteristic
63#341×C67C2211yescharacteristic
64#339×C67C2211yescharacteristic
65#339×C67C2211yescharacteristic
66#336×C67C2211yescharacteristic
67C2×#41×C67C2311yescharacteristic
68C2×#41×C67C2311yescharacteristic
69C22×D4×C67C2311yescharacteristic
70AGL(1,ℤ/8)×C67—22no—
71AGL(1,ℤ/8)×C67—22no—
72#135×C67—22no—
73#135×C67—22no—
74C2×Q16×C67D411yescharacteristic
75C2×SD16×C67—21no—
76C2×SD16×C67D411yescharacteristic
77C2×SD16×C67D411yescharacteristic
78C2×D8×C67—21no—
79C2×D8×C67D411yescharacteristic
80#131×C67—22no—
81#131×C67—22no—
82C2×M16×C67—21no—
83C2×M16×C67C2311yescharacteristic
84C2×M16×C67C2311yescharacteristic
85C2×M16×C67C2311yescharacteristic
86C2×M16×C67C2311yescharacteristic
87C22×C8×C67—21no—
88C22×C8×C67C2311yescharacteristic
89C22×C8×C67C2311yescharacteristic
90#127×C67—21no—
91#124×C67—21no—
92#121×C67—21no—
93#121×C67—21no—
94#120×C67—41no—
95C4×Q8×C67—21no—
96C4×Q8×C67—21no—
97C4×Q8×C67—21no—
98C4×D4×C67—21no—
99C4×D4×C67—21no—
100C4×D4×C67—21no—
101C4×D4×C67—41no—
102C4×D4×C67—41no—
103C4×D4×C67—41no—
104#117×C67—21no—
105#117×C67—21no—
106#117×C67—21no—
107#117×C67C2311yescharacteristic
108#117×C67C2311yescharacteristic
109C2×C4⋊C4×C67—21no—
110C2×C4⋊C4×C67—21no—
111C2×C4⋊C4×C67—21no—
112C2×C4⋊C4×C67—41no—
113C2×C4⋊C4×C67C2311yescharacteristic
114C2×C4⋊C4×C67C2311yescharacteristic
115C2×C4⋊C4×C67C2311yescharacteristic
116C2×C22⋊C4×C67—41no—
117C2×C42×C67C2311yescharacteristic
118#107×C67—21no—
119#107×C67—21no—
120#107×C67—21no—
121#107×C67—21no—
122#107×C67—21no—
123#107×C67—21no—
124#107×C67—21no—
125#107×C67D411yescharacteristic
126#107×C67D411yescharacteristic
127#106×C67—21no—
128#106×C67—21no—
129#106×C67—21no—
130#106×C67D411yescharacteristic
131#106×C67D411yescharacteristic
132C4⋊C8×C67—21no—
133C4⋊C8×C67—21no—
134#104×C67—22no—
135#104×C67—22no—
136#103×C67—21no—
137#103×C67—21no—
138#103×C67—21no—
139#102×C67—21no—
140#102×C67—21no—
141#102×C67—21no—
142#102×C67—21no—
143#102×C67—21no—
144#102×C67—21no—
145#102×C67—21no—
146#102×C67—21no—
147#102×C67—21no—
148#100×C67—22no—
149C22⋊C8×C67—21no—
150C22⋊C8×C67—21no—
151#97×C67—21no—
152C4×C8×C67—21no—
153C24×C67—21no—
154#41×C67—21no—
155#41×C67—21no—
156#41×C67—21no—
157#41×C67—21no—
158#41×C67—21no—
159#41×C67—21no—
160#41×C67#4112yes—
161#41×C67#4112yes—
162C2×Q8×C67C2×D411yescharacteristic
163C2×Q8×C67C2×D411yescharacteristic
164C2×D4×C67—21no—
165C2×D4×C67—21no—
166C2×D4×C67—21no—
167C2×D4×C67—21no—
168C2×D4×C67—21no—
169C2×D4×C67—21no—
170C2×D4×C67—21no—
171C2×D4×C67—21no—
172C2×D4×C67—41no—
173C2×D4×C67—41no—
174C2×D4×C67C2×D411yescharacteristic
175C2×D4×C67C2×D411yescharacteristic
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—41no—
183C22×C4×C67—41no—
184C22×C4×C67—41no—
185C22×C4×C67C2411yescharacteristic
186Q16×C67—22no—
187SD16×C67—22no—
188SD16×C67—22no—
189SD16×C67—42no—
190D8×C67—22no—
191D8×C67—42no—
192M16×C67—24no—
193M16×C67—21no—
194M16×C67—21no—
195M16×C67—21no—
196M16×C67—21no—
197M16×C67—21no—
198M16×C67—21no—
199M16×C67—21no—
200M16×C67#4112yes—
201C2×C8×C67—24no—
202C2×C8×C67—21no—
203C2×C8×C67—21no—
204C2×C8×C67—21no—
205C2×C8×C67—21no—
206C2×C8×C67—21no—
207C2×C8×C67—21no—
208C2×C8×C67—21no—
209C2×C8×C67—21no—
210C2×C8×C67C2×D411yescharacteristic
211C2×C8×C67C2×D411yescharacteristic
212C2×C8×C67C2×D411yescharacteristic
213C2×C8×C67C2×D411yescharacteristic
214C4⋊C4×C67—21no—
215C4⋊C4×C67—21no—
216C4⋊C4×C67—21no—
217C4⋊C4×C67—21no—
218C4⋊C4×C67—21no—
219C4⋊C4×C67—21no—
220C4⋊C4×C67—41no—
221C4⋊C4×C67—41no—
222C4⋊C4×C67—41no—
223C4⋊C4×C67—82no—
224C4⋊C4×C67C2×D411yescharacteristic
225C4⋊C4×C67C2×D411yescharacteristic
226C4⋊C4×C67C2×D411yescharacteristic
227C4⋊C4×C67C2×D411yescharacteristic
228C22⋊C4×C67—21no—
229C22⋊C4×C67—21no—
230C22⋊C4×C67—41no—
231C22⋊C4×C67—41no—
232C22⋊C4×C67—41no—
233C22⋊C4×C67—41no—
234C22⋊C4×C67—41no—
235C22⋊C4×C67—82no—
236C42×C67—21no—
237C42×C67—21no—
238C42×C67—21no—
239C42×C67—21no—
240C42×C67—41no—
241C42×C67—41no—
242C42×C67—41no—
243C23×C67—21no—
244C23×C67—21no—
245C23×C67—41no—
246C23×C67—41no—
247C23×C67—41no—
248C23×C67—81no—
249C23×C67—81no—
250C23×C67H(5,𝔽2)11yescharacteristic
251Q8×C67—21no—
252Q8×C67—21no—
253Q8×C67—21no—
254Q8×C67#12312yes—
255D4×C67—22no—
256D4×C67—22no—
257D4×C67—21no—
258D4×C67—21no—
259D4×C67—21no—
260D4×C67—41no—
261D4×C67—41no—
262D4×C67—41no—
263D4×C67—41no—
264D4×C67—41no—
265D4×C67—41no—
266D4×C67—161no—
267D4×C67—161no—
268D4×C67#12312yes—
269C2×C4×C67—21no—
270C2×C4×C67—22no—
271C2×C4×C67—22no—
272C2×C4×C67—22no—
273C2×C4×C67—21no—
274C2×C4×C67—21no—
275C2×C4×C67—21no—
276C2×C4×C67—21no—
277C2×C4×C67—21no—
278C2×C4×C67—41no—
279C2×C4×C67—41no—
280C2×C4×C67—41no—
281C2×C4×C67—41no—
282C2×C4×C67—41no—
283C2×C4×C67—41no—
284C2×C4×C67—41no—
285C2×C4×C67—81no—
286C2×C4×C67—81no—
287C2×C4×C67—81no—
288C2×C4×C67—161no—
289C2×C4×C67—161no—
290C2×C4×C67—161no—
291C2×C4×C67C22×D411yescharacteristic
292C2×C4×C67C22×D411yescharacteristic
293C2×C4×C67C2×#4111yescharacteristic
294C2×C4×C67C2×#4111yescharacteristic
295C2×C4×C67C2×#4111yescharacteristic
296C2×C4×C672−1+411yescharacteristic
297C8×C67—21no—
298C8×C67—21no—
299C8×C67—21no—
300C8×C67—22no—
301C8×C67—21no—
302C8×C67—41no—
303C8×C67—41no—
304C8×C67—41no—
305C22×C67—21no—
306C22×C67—21no—
307C22×C67—22no—
308C22×C67—41no—
309C22×C67—41no—
310C22×C67—41no—
311C22×C67—41no—
312C22×C67—41no—
313C22×C67—82no—
314C22×C67—81no—
315C22×C67—81no—
316C22×C67—81no—
317C22×C67—161no—
318C22×C67#53911yescharacteristic
319C22×C67D4211yescharacteristic
320C22×C67#55311yescharacteristic
321C4×C67—22no—
322C4×C67—42no—
323C4×C67—41no—
324C4×C67—41no—
325C4×C67—41no—
326C4×C67—41no—
327C4×C67—41no—
328C4×C67—81no—
329C4×C67—81no—
330C4×C67—81no—
331C4×C67C2×#12311yescharacteristic
332C4×C67#52511yescharacteristic
333C4×C67#54711yescharacteristic
334C4×C67#54811yescharacteristic
335#26190C6711yesmaximal, characteristic, direct product factor, Sylow
336C2×C67—21no—
337C2×C67—21no—
338C2×C67—42no—
339C2×C67—81no—
340C2×C67—161no—
341C2×C67#244311yescharacteristic
342C2×C67#328911yescharacteristic
343C2×C67#329211yescharacteristic
344#3096C2×C6711yescharacteristic, complemented
345#3045C2×C6711yescharacteristic
346#2951C2×C6711yescharacteristic, complemented
347#2913C2×C6711yescharacteristic, complemented
348#2093C2×C6711yescharacteristic, complemented
349#2089C2×C6711yescharacteristic, complemented
350#2078C2×C6711yescharacteristic, complemented
351#2037C2×C6711yescharacteristic, complemented
352#1931C2×C6711yescharacteristic, complemented
353#1922C2×C6711yescharacteristic, complemented
354#1907C2×C6711yescharacteristic, complemented
355#1883C2×C6711yescharacteristic, complemented
356#1876C2×C6711yescharacteristic, complemented
357#1859C2×C6711yescharacteristic, complemented
358#1859C2×C6711yescharacteristic, complemented
359C67#2619011yescharacteristic, direct product factor, Sylow
360C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
361C2×#135C22×C6711yescharacteristic
362C2×#131C22×C6711yescharacteristic
363#535C22×C6711yescharacteristic
364#520C22×C6711yescharacteristic
365#520C22×C6711yescharacteristic
366#520C22×C6711yescharacteristic
367#482—21no—
368#482—21no—
369#481—21no—
370#480—21no—
371#464—21no—
372#463—21no—
373#460—21no—
374#459—21no—
375#440—21no—
376#440—21no—
377C4×Q16—21no—
378C4×D8—21no—
379#428—21no—
380#428—21no—
381#428C22×C6711yescharacteristic
382#428C22×C6711yescharacteristic
383#428C22×C6711yescharacteristic
384#427—21no—
385#427C22×C6711yescharacteristic
386C2×#107—21no—
387C2×#107C22×C6711yescharacteristic
388C2×#107C22×C6711yescharacteristic
389#424C22×C6711yescharacteristic
390C2×#104C22×C6711yescharacteristic
391C2×#104C22×C6711yescharacteristic
392#418C22×C6711yescharacteristic
393#417C22×C6711yescharacteristic
394#417C22×C6711yescharacteristic
395#417C22×C6711yescharacteristic
396C2×#102C22×C6711yescharacteristic
397C2×#102C22×C6711yescharacteristic
398C2×#100C22×C6711yescharacteristic
399#408C22×C6711yescharacteristic
400#405C22×C6711yescharacteristic
401#390C22×C6711yescharacteristic
402#384C22×C6711yescharacteristic
403#343C22×C6711yescharacteristic
404#343C22×C6711yescharacteristic
405#343C22×C6711yescharacteristic
406#341C22×C6711yescharacteristic
407#341C22×C6711yescharacteristic
408#339C22×C6711yescharacteristic
409#339C22×C6711yescharacteristic
410#336C22×C6711yescharacteristic
411C2×#41C23×C6711yescharacteristic
412C2×#41C23×C6711yescharacteristic
413C22×D4C23×C6711yescharacteristic
414AGL(1,ℤ/8)—22no—
415AGL(1,ℤ/8)—22no—
416#135—22no—
417#135—22no—
418C2×Q16D4×C6711yescharacteristic
419C2×SD16—21no—
420C2×SD16D4×C6711yescharacteristic
421C2×SD16D4×C6711yescharacteristic
422C2×D8—21no—
423C2×D8D4×C6711yescharacteristic
424#131—22no—
425#131—22no—
426C2×M16—21no—
427C2×M16C23×C6711yescharacteristic
428C2×M16C23×C6711yescharacteristic
429C2×M16C23×C6711yescharacteristic
430C2×M16C23×C6711yescharacteristic
431C22×C8—21no—
432C22×C8C23×C6711yescharacteristic
433C22×C8C23×C6711yescharacteristic
434#127—21no—
435#124—21no—
436#121—21no—
437#121—21no—
438#120—41no—
439C4×Q8—21no—
440C4×Q8—21no—
441C4×Q8—21no—
442C4×D4—21no—
443C4×D4—21no—
444C4×D4—21no—
445C4×D4—41no—
446C4×D4—41no—
447C4×D4—41no—
448#117—21no—
449#117—21no—
450#117—21no—
451#117C23×C6711yescharacteristic
452#117C23×C6711yescharacteristic
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—41no—
457C2×C4⋊C4C23×C6711yescharacteristic
458C2×C4⋊C4C23×C6711yescharacteristic
459C2×C4⋊C4C23×C6711yescharacteristic
460C2×C22⋊C4—41no—
461C2×C42C23×C6711yescharacteristic
462#107—21no—
463#107—21no—
464#107—21no—
465#107—21no—
466#107—21no—
467#107—21no—
468#107—21no—
469#107D4×C6711yescharacteristic
470#107D4×C6711yescharacteristic
471#106—21no—
472#106—21no—
473#106—21no—
474#106D4×C6711yescharacteristic
475#106D4×C6711yescharacteristic
476C4⋊C8—21no—
477C4⋊C8—21no—
478#104—22no—
479#104—22no—
480#103—21no—
481#103—21no—
482#103—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—21no—
491#102—21no—
492#100—22no—
493C22⋊C8—21no—
494C22⋊C8—21no—
495#97—21no—
496C4×C8—21no—
497C24—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41—21no—
503#41—21no—
504#41#41×C6712yes—
505#41#41×C6712yes—
506C2×Q8C2×D4×C6711yescharacteristic
507C2×Q8C2×D4×C6711yescharacteristic
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4C2×D4×C6711yescharacteristic
519C2×D4C2×D4×C6711yescharacteristic
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4C24×C6711yescharacteristic
530Q16—22no—
531SD16—22no—
532SD16—22no—
533SD16—42no—
534D8—22no—
535D8—42no—
536M16—24no—
537M16—21no—
538M16—21no—
539M16—21no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16—21no—
544M16#41×C6712yes—
545C2×C8—24no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8C2×D4×C6711yescharacteristic
555C2×C8C2×D4×C6711yescharacteristic
556C2×C8C2×D4×C6711yescharacteristic
557C2×C8C2×D4×C6711yescharacteristic
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—41no—
565C4⋊C4—41no—
566C4⋊C4—41no—
567C4⋊C4—82no—
568C4⋊C4C2×D4×C6711yescharacteristic
569C4⋊C4C2×D4×C6711yescharacteristic
570C4⋊C4C2×D4×C6711yescharacteristic
571C4⋊C4C2×D4×C6711yescharacteristic
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—82no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—41no—
585C42—41no—
586C42—41no—
587C23—21no—
588C23—21no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—81no—
593C23—81no—
594C23H(5,𝔽2)×C6711yescharacteristic
595Q8—21no—
596Q8—21no—
597Q8—21no—
598Q8#123×C6712yes—
599D4—22no—
600D4—22no—
601D4—21no—
602D4—21no—
603D4—21no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—41no—
609D4—41no—
610D4—161no—
611D4—161no—
612D4#123×C6712yes—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—161no—
633C2×C4—161no—
634C2×C4—161no—
635C2×C4C22×D4×C6711yescharacteristic
636C2×C4C22×D4×C6711yescharacteristic
637C2×C4C2×#41×C6711yescharacteristic
638C2×C4C2×#41×C6711yescharacteristic
639C2×C4C2×#41×C6711yescharacteristic
640C2×C42−1+4×C6711yescharacteristic
641C8—21no—
642C8—21no—
643C8—21no—
644C8—22no—
645C8—21no—
646C8—41no—
647C8—41no—
648C8—41no—
649C22—21no—
650C22—21no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—82no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—161no—
662C22#539×C6711yescharacteristic
663C22D42×C6711yescharacteristic
664C22#553×C6711yescharacteristic
665C4—22no—
666C4—42no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—81no—
675C4C2×#123×C6711yescharacteristic
676C4#525×C6711yescharacteristic
677C4#547×C6711yescharacteristic
678C4#548×C6711yescharacteristic
679C2—21no—
680C2—21no—
681C2—42no—
682C2—81no—
683C2—161no—
684C2C67×#244311yescharacteristic
685C2C67×#328911yescharacteristic
686C2C67×#329211yescharacteristic
subgroupG/H
center, socleC22×C67D42
commutator, Frattini, cosocleC22×C4C24×C67
prime radicalC67×#3045C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ C22×C4×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3096C2semidirect
3. C67×#2951C2semidirect
4. C67×#2913C2semidirect
5. C67×#2093C2semidirect
6. C67×#2089C2semidirect
7. C67×#2078C2semidirect
8. C67×#2037C2semidirect
9. C67×#1931C2semidirect
10. C67×#1922C2semidirect
11. C67×#1907C2semidirect
12. C67×#1883C2semidirect
13. C67×#1876C2semidirect
14. C67×#1859C2semidirect
15. C67×#1859C2semidirect
335. #26190C67direct (N × H)
344. #3096C2×C67semidirect
346. #2951C2×C67semidirect
347. #2913C2×C67semidirect
348. #2093C2×C67semidirect
349. #2089C2×C67semidirect
350. #2078C2×C67semidirect
351. #2037C2×C67semidirect
352. #1931C2×C67semidirect
353. #1922C2×C67semidirect
354. #1907C2×C67semidirect
355. #1883C2×C67semidirect
356. #1876C2×C67semidirect
357. #1859C2×C67semidirect
358. #1859C2×C67semidirect
359. C67#26190direct (N × H)

Maximal subgroups

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

subgroupindex
C67×#30962
C67×#30452
C67×#29512
C67×#29132
C67×#20932
C67×#20892
C67×#20782
C67×#20372
C67×#19312
C67×#19222
C67×#19072
C67×#18832
C67×#18762
C67×#18592
#2619067