Finite Group Databasebeta

← C67×#61507 #30740758

Subgroups — C67×#61507 #30740758

Order 17152.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#3517C211yesmaximal, characteristic, complemented
2C67×#3513C211yesmaximal, characteristic, complemented
3C67×#3399C211yesmaximal, characteristic, complemented
4C67×#3388C211yesmaximal, characteristic, complemented
5C67×#3371C211yesmaximal, characteristic, complemented
6C67×#3366C211yesmaximal, characteristic, complemented
7C67×#3351C211yesmaximal, characteristic, complemented
8C67×#3345C211yesmaximal, characteristic, complemented
9C67×#3345C211yesmaximal, characteristic, complemented
10C67×#3332C211yesmaximal, characteristic, complemented
11C67×#3322C211yesmaximal, characteristic, complemented
12C67×#3318C211yesmaximal, characteristic, complemented
13C67×#3317C211yesmaximal, characteristic, complemented
14C67×#3309C211yesmaximal, characteristic, complemented
15C67×#3306C211yesmaximal, characteristic, complemented
16C67×#3274C211yesmaximal, characteristic, complemented
17C67×#3268C211yesmaximal, characteristic, complemented
18C67×#3268C211yesmaximal, characteristic, complemented
19C67×#3179C211yesmaximal, characteristic, complemented
20C67×#3176C211yesmaximal, characteristic, complemented
21C67×#3171C211yesmaximal, characteristic, complemented
22C67×#3125C211yesmaximal, characteristic, complemented
23C67×#3122C211yesmaximal, characteristic, complemented
24C67×#3119C211yesmaximal, characteristic, complemented
25C67×#3119C211yesmaximal, characteristic, complemented
26C67×#3111C211yesmaximal, characteristic, complemented
27C67×#3109C211yesmaximal, characteristic, complemented
28C67×#2967C211yesmaximal, characteristic, complemented
29C67×#2952C211yesmaximal, characteristic, complemented
30C67×#2946C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C67C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C67C2211yescharacteristic
34C2×#135×C67C2211yescharacteristic
35#559×C67C2211yescharacteristic
36#557×C67C2211yescharacteristic, complemented
37#554×C67C2211yescharacteristic
38#553×C67—21no—
39#553×C67—21no—
40#553×C67—21no—
41#553×C67C2211yescharacteristic
42#553×C67C2211yescharacteristic
43#553×C67C2211yescharacteristic, complemented
44#552×C67C2211yescharacteristic
45#551×C67—21no—
46#551×C67—21no—
47#550×C67—21no—
48#550×C67C2211yescharacteristic
49#550×C67C2211yescharacteristic, complemented
50#550×C67C2211yescharacteristic, complemented
51#550×C67C2211yescharacteristic, complemented
52#547×C67—21no—
53#547×C67C2211yescharacteristic
54#547×C67C2211yescharacteristic, complemented
55#546×C67—21no—
56#546×C67C2211yescharacteristic
57#546×C67C2211yescharacteristic
58D42×C67C2211yescharacteristic
59#542×C67C2211yescharacteristic
60#540×C67—21no—
61#540×C67—21no—
62#540×C67C2211yescharacteristic
63#540×C67C2211yescharacteristic, complemented
64#540×C67C2211yescharacteristic, complemented
65#539×C67—21no—
66#538×C67—21no—
67#532×C67—21no—
68#532×C67C2211yescharacteristic, complemented
69#529×C67—21no—
70#529×C67C2211yescharacteristic
71#529×C67C2211yescharacteristic
72#525×C67—21no—
73C2×#123×C67—21no—
74#520×C67C2211yescharacteristic
75#520×C67C2211yescharacteristic, complemented
76#520×C67C2211yescharacteristic, complemented
77#518×C67C2211yescharacteristic
78C4×#41×C67C2211yescharacteristic, complemented
79C2×C4×D4×C67C2211yescharacteristic
80#501×C67C2211yescharacteristic, complemented
81#501×C67C2211yescharacteristic, complemented
82#499×C67C2211yescharacteristic, complemented
83#496×C67C2211yescharacteristic, complemented
84#496×C67C2211yescharacteristic, complemented
85#493×C67C2211yescharacteristic
86#490×C67C2211yescharacteristic
87#490×C67C2211yescharacteristic, complemented
88#490×C67C2211yescharacteristic, complemented
89#489×C67C2211yescharacteristic, complemented
90#488×C67C2211yescharacteristic, complemented
91#486×C67C2211yescharacteristic, complemented
92#485×C67C2211yescharacteristic, complemented
93#483×C67C2211yescharacteristic, complemented
94#482×C67C2211yescharacteristic
95#482×C67C2211yescharacteristic, complemented
96#482×C67C2211yescharacteristic, complemented
97#481×C67C2211yescharacteristic
98#481×C67C2211yescharacteristic, complemented
99#481×C67C2211yescharacteristic, complemented
100#481×C67C2211yescharacteristic, complemented
101#481×C67C2211yescharacteristic, complemented
102#480×C67C2211yescharacteristic, complemented
103#480×C67C2211yescharacteristic, complemented
104#479×C67C2211yescharacteristic, complemented
105#479×C67C2211yescharacteristic, complemented
106#479×C67C2211yescharacteristic, complemented
107#478×C67C2211yescharacteristic
108#478×C67C2211yescharacteristic
109#478×C67C2211yescharacteristic, complemented
110#478×C67C2211yescharacteristic, complemented
111#478×C67C2211yescharacteristic, complemented
112#476×C67C2211yescharacteristic
113#476×C67C2211yescharacteristic, complemented
114#476×C67C2211yescharacteristic, complemented
115#475×C67C2211yescharacteristic, complemented
116#469×C67C2211yescharacteristic
117#469×C67C2211yescharacteristic
118#469×C67C2211yescharacteristic
119#469×C67C2211yescharacteristic, complemented
120#469×C67C2211yescharacteristic, complemented
121#468×C67C2211yescharacteristic, complemented
122#468×C67C2211yescharacteristic, complemented
123#468×C67C2211yescharacteristic, complemented
124#466×C67C2211yescharacteristic
125#466×C67C2211yescharacteristic, complemented
126#466×C67C2211yescharacteristic, complemented
127#465×C67C2211yescharacteristic, complemented
128#464×C67C2211yescharacteristic, complemented
129#464×C67C2211yescharacteristic, complemented
130#463×C67C2211yescharacteristic, complemented
131#463×C67C2211yescharacteristic, complemented
132#460×C67C2211yescharacteristic
133#460×C67C2211yescharacteristic, complemented
134#459×C67C2211yescharacteristic
135#459×C67C2211yescharacteristic
136#459×C67C2211yescharacteristic
137#459×C67C2211yescharacteristic
138#459×C67C2211yescharacteristic, complemented
139#459×C67C2211yescharacteristic, complemented
140#452×C67C2211yescharacteristic, complemented
141#452×C67C2211yescharacteristic, complemented
142#449×C67C2211yescharacteristic
143#449×C67C2211yescharacteristic
144#449×C67C2211yescharacteristic
145#449×C67C2211yescharacteristic
146#449×C67C2211yescharacteristic, complemented
147#449×C67C2211yescharacteristic, complemented
148#447×C67C2211yescharacteristic
149#447×C67C2211yescharacteristic
150#447×C67C2211yescharacteristic
151#447×C67C2211yescharacteristic
152#446×C67C2211yescharacteristic, complemented
153#446×C67C2211yescharacteristic, complemented
154#442×C67C2211yescharacteristic
155#442×C67C2211yescharacteristic
156#442×C67C2211yescharacteristic
157#442×C67C2211yescharacteristic
158#442×C67C2211yescharacteristic, complemented
159#442×C67C2211yescharacteristic, complemented
160#442×C67C2211yescharacteristic, complemented
161#442×C67C2211yescharacteristic, complemented
162#442×C67C2211yescharacteristic, complemented
163#441×C67C2211yescharacteristic, complemented
164#441×C67C2211yescharacteristic, complemented
165#440×C67C2211yescharacteristic
166#440×C67C2211yescharacteristic
167#440×C67C2211yescharacteristic, complemented
168#440×C67C2211yescharacteristic, complemented
169#440×C67C2211yescharacteristic, complemented
170C4×SD16×C67C2211yescharacteristic
171C4×SD16×C67C2211yescharacteristic
172C4×SD16×C67C2211yescharacteristic, complemented
173C4×SD16×C67C2211yescharacteristic, complemented
174C4×SD16×C67C2211yescharacteristic, complemented
175C4×SD16×C67C2211yescharacteristic, complemented
176C4×SD16×C67C2211yescharacteristic, complemented
177C4×D8×C67C2211yescharacteristic
178C4×D8×C67C2211yescharacteristic
179C4×D8×C67C2211yescharacteristic, complemented
180C4×D8×C67C2211yescharacteristic, complemented
181C4×D8×C67C2211yescharacteristic, complemented
182#436×C67C2211yescharacteristic
183#436×C67C2211yescharacteristic, complemented
184#435×C67C2211yescharacteristic
185#435×C67C2211yescharacteristic, complemented
186#435×C67C2211yescharacteristic, complemented
187#435×C67C2211yescharacteristic, complemented
188#433×C67C2211yescharacteristic, complemented
189#433×C67C2211yescharacteristic, complemented
190#432×C67C2211yescharacteristic, complemented
191#428×C67C2211yescharacteristic, complemented
192#428×C67C2211yescharacteristic, complemented
193C2×#106×C67C2211yescharacteristic, complemented
194#418×C67C2211yescharacteristic
195#417×C67C2211yescharacteristic
196#417×C67C2211yescharacteristic, complemented
197#417×C67C2211yescharacteristic, complemented
198#416×C67C2211yescharacteristic, complemented
199C2×#102×C67C2211yescharacteristic
200#405×C67C2211yescharacteristic, complemented
201#405×C67C2211yescharacteristic, complemented
202C4×M16×C67C2211yescharacteristic, complemented
203C2×#41×C67—21no—
204C2×#41×C67—21no—
205C2×#41×C67—21no—
206C2×#41×C67—21no—
207C2×#41×C67C2311yescharacteristic
208C2×#41×C67C2311yescharacteristic
209C2×#41×C67C2311yescharacteristic
210C2×#41×C67C2311yescharacteristic
211C22×D4×C67—21no—
212C22×D4×C67C2311yescharacteristic
213C22×D4×C67C2311yescharacteristic
214C23×C4×C67—21no—
215AGL(1,ℤ/8)×C67—24no—
216AGL(1,ℤ/8)×C67—24no—
217#135×C67—24no—
218C2×Q16×C67C2311yescharacteristic
219C2×SD16×C67C2311yescharacteristic
220C2×SD16×C67C2311yescharacteristic
221C2×SD16×C67C2311yescharacteristic
222C2×SD16×C67C2311yescharacteristic
223C2×SD16×C67C2311yescharacteristic
224C2×SD16×C67C2311yescharacteristic
225C2×D8×C67C2311yescharacteristic
226C2×D8×C67C2311yescharacteristic
227C2×D8×C67C2311yescharacteristic
228C2×D8×C67C2311yescharacteristic
229C2×D8×C67C2311yescharacteristic
230C2×D8×C67C2311yescharacteristic
231C2×D8×C67C2311yescharacteristic
232C2×D8×C67C2311yescharacteristic
233C2×D8×C67C2311yescharacteristic
234C2×M16×C67C2311yescharacteristic
235C2×M16×C67C2311yescharacteristic
236C2×M16×C67C2311yescharacteristic
237C2×M16×C67C2311yescharacteristic
238C22×C8×C67C2311yescharacteristic
239C22×C8×C67C2311yescharacteristic
240C4⋊Q8×C67—21no—
241C4⋊Q8×C67C2311yescharacteristic
242C4⋊Q8×C67C2311yescharacteristic
243#127×C67—21no—
244#127×C67—21no—
245#127×C67—21no—
246#127×C67C2311yescharacteristic
247#127×C67C2311yescharacteristic
248#127×C67C2311yescharacteristic
249#127×C67C2311yescharacteristic
250#126×C67—21no—
251#126×C67—21no—
252#126×C67—21no—
253#126×C67—21no—
254#126×C67—21no—
255#126×C67—21no—
256#126×C67D411yescharacteristic
257#126×C67D411yescharacteristic
258#125×C67—21no—
259#125×C67—21no—
260#125×C67—21no—
261#125×C67D411yescharacteristic
262#125×C67C2311yescharacteristic
263#125×C67C2311yescharacteristic
264#125×C67C2311yescharacteristic
265#125×C67C2311yescharacteristic
266#124×C67—21no—
267#124×C67—21no—
268#124×C67—21no—
269#124×C67D411yescharacteristic
270#124×C67C2311yescharacteristic
271#124×C67C2311yescharacteristic
272#123×C67—21no—
273#123×C67—21no—
274#123×C67—21no—
275#123×C67—21no—
276#123×C67—21no—
277#123×C67—21no—
278#123×C67—21no—
279#123×C67—21no—
280#123×C67—21no—
281#123×C67—21no—
282#123×C67—21no—
283#123×C67—21no—
284#123×C67—21no—
285#123×C67—21no—
286#123×C67—21no—
287#123×C67—21no—
288#123×C67—21no—
289#123×C67—21no—
290#123×C67—21no—
291#123×C67—21no—
292#123×C67D411yescharacteristic
293#123×C67D411yescharacteristic
294C22⋊Q8×C67—21no—
295C22⋊Q8×C67—21no—
296C22⋊Q8×C67—21no—
297C22⋊Q8×C67—21no—
298C22⋊Q8×C67—21no—
299C22⋊Q8×C67—21no—
300C22⋊Q8×C67D411yescharacteristic
301C22⋊Q8×C67C2311yescharacteristic
302C22⋊Q8×C67C2311yescharacteristic
303#121×C67—21no—
304#121×C67—21no—
305#121×C67—21no—
306#121×C67—21no—
307#121×C67—21no—
308#121×C67—21no—
309#121×C67—21no—
310#121×C67—21no—
311#121×C67—21no—
312#121×C67—21no—
313#121×C67—21no—
314#121×C67—21no—
315#121×C67—21no—
316#121×C67—21no—
317#121×C67—21no—
318#121×C67—21no—
319#121×C67—21no—
320#121×C67—21no—
321#121×C67—21no—
322#121×C67—21no—
323#121×C67—21no—
324#121×C67—21no—
325#121×C67D411yescharacteristic
326#121×C67C2311yescharacteristic
327#121×C67C2311yescharacteristic
328#121×C67C2311yescharacteristic
329#121×C67C2311yescharacteristic
330#121×C67C2311yescharacteristic
331#121×C67C2311yescharacteristic
332#121×C67C2311yescharacteristic
333#121×C67C2311yescharacteristic
334#121×C67C2311yescharacteristic
335#121×C67C2311yescharacteristic
336#120×C67—21no—
337#120×C67—21no—
338#120×C67—21no—
339#120×C67—21no—
340C4×Q8×C67—21no—
341C4×Q8×C67C2311yescharacteristic
342C4×Q8×C67C2311yescharacteristic
343C4×Q8×C67C2311yescharacteristic
344C4×Q8×C67C2311yescharacteristic
345C4×Q8×C67C2311yescharacteristic
346C4×Q8×C67C2311yescharacteristic
347C4×Q8×C67C2311yescharacteristic
348C4×D4×C67—21no—
349C4×D4×C67—21no—
350C4×D4×C67—21no—
351C4×D4×C67—21no—
352C4×D4×C67—21no—
353C4×D4×C67—21no—
354C4×D4×C67—21no—
355C4×D4×C67—21no—
356C4×D4×C67—21no—
357C4×D4×C67—21no—
358C4×D4×C67—21no—
359C4×D4×C67—21no—
360C4×D4×C67—21no—
361C4×D4×C67—21no—
362C4×D4×C67—21no—
363C4×D4×C67—21no—
364C4×D4×C67—21no—
365C4×D4×C67—21no—
366C4×D4×C67—21no—
367C4×D4×C67—21no—
368C4×D4×C67—21no—
369C4×D4×C67C2311yescharacteristic
370C4×D4×C67C2311yescharacteristic
371C4×D4×C67C2311yescharacteristic
372C4×D4×C67C2311yescharacteristic
373C4×D4×C67C2311yescharacteristic
374C4×D4×C67C2311yescharacteristic
375C4×D4×C67C2311yescharacteristic
376C4×D4×C67C2311yescharacteristic
377C4×D4×C67C2311yescharacteristic
378C4×D4×C67C2311yescharacteristic
379C4×D4×C67C2311yescharacteristic
380C4×D4×C67C2311yescharacteristic
381C4×D4×C67C2311yescharacteristic
382C4×D4×C67C2311yescharacteristic
383C4×D4×C67C2311yescharacteristic
384C4×D4×C67C2311yescharacteristic
385C4×D4×C67C2311yescharacteristic
386#117×C67—21no—
387#117×C67—21no—
388#117×C67—21no—
389#117×C67—21no—
390#117×C67—21no—
391#117×C67—21no—
392#117×C67C2311yescharacteristic
393#117×C67C2311yescharacteristic
394#117×C67C2311yescharacteristic
395#117×C67C2311yescharacteristic
396C2×C4⋊C4×C67—21no—
397C2×C4⋊C4×C67—21no—
398C2×C4⋊C4×C67—21no—
399C2×C4⋊C4×C67—21no—
400C2×C4⋊C4×C67C2311yescharacteristic
401C2×C4⋊C4×C67C2311yescharacteristic
402C2×C4⋊C4×C67C2311yescharacteristic
403C2×C4⋊C4×C67C2311yescharacteristic
404C2×C22⋊C4×C67—21no—
405C2×C22⋊C4×C67—21no—
406C2×C22⋊C4×C67—21no—
407C2×C22⋊C4×C67—21no—
408C2×C22⋊C4×C67—21no—
409C2×C42×C67—21no—
410C2×C42×C67C2311yescharacteristic
411#107×C67C2311yescharacteristic
412#107×C67C2311yescharacteristic
413#107×C67C2311yescharacteristic
414#107×C67C2311yescharacteristic
415#107×C67C2311yescharacteristic
416#107×C67C2311yescharacteristic
417#106×C67C2311yescharacteristic
418#106×C67C2311yescharacteristic
419#106×C67C2311yescharacteristic
420#106×C67C2311yescharacteristic
421#106×C67C2311yescharacteristic
422#106×C67C2311yescharacteristic
423#106×C67C2311yescharacteristic
424#106×C67C2311yescharacteristic
425#106×C67C2311yescharacteristic
426#106×C67C2311yescharacteristic
427C4⋊C8×C67C2311yescharacteristic
428C4⋊C8×C67C2311yescharacteristic
429C4⋊C8×C67C2311yescharacteristic
430C4⋊C8×C67C2311yescharacteristic
431C4⋊C8×C67C2311yescharacteristic
432C4⋊C8×C67C2311yescharacteristic
433#103×C67C2311yescharacteristic
434#103×C67C2311yescharacteristic
435#103×C67C2311yescharacteristic
436#103×C67C2311yescharacteristic
437#103×C67C2311yescharacteristic
438#103×C67C2311yescharacteristic
439#103×C67C2311yescharacteristic
440#103×C67C2311yescharacteristic
441#102×C67C2311yescharacteristic
442#102×C67C2311yescharacteristic
443#102×C67C2311yescharacteristic
444#102×C67C2311yescharacteristic
445#102×C67C2311yescharacteristic
446#102×C67C2311yescharacteristic
447#102×C67C2311yescharacteristic
448#102×C67C2311yescharacteristic
449#102×C67C2311yescharacteristic
450#102×C67C2311yescharacteristic
451#102×C67C2311yescharacteristic
452#102×C67C2311yescharacteristic
453#102×C67C2311yescharacteristic
454#102×C67C2311yescharacteristic
455#102×C67C2311yescharacteristic
456#102×C67C2311yescharacteristic
457#102×C67C2311yescharacteristic
458#102×C67C2311yescharacteristic
459#102×C67C2311yescharacteristic
460#102×C67C2311yescharacteristic
461#102×C67C2311yescharacteristic
462#102×C67C2311yescharacteristic
463#102×C67C2311yescharacteristic
464#102×C67C2311yescharacteristic
465C22⋊C8×C67C2311yescharacteristic
466C22⋊C8×C67C2311yescharacteristic
467C22⋊C8×C67C2311yescharacteristic
468C22⋊C8×C67C2311yescharacteristic
469C22⋊C8×C67C2311yescharacteristic
470C22⋊C8×C67C2311yescharacteristic
471#97×C67C2311yescharacteristic
472#97×C67C2311yescharacteristic
473#97×C67C2311yescharacteristic
474#97×C67C2311yescharacteristic
475#97×C67C2311yescharacteristic
476#97×C67C2311yescharacteristic
477C4×C8×C67C2311yescharacteristic
478C4×C8×C67C2311yescharacteristic
479C4×C8×C67C2311yescharacteristic
480C4×C8×C67C2311yescharacteristic
481C24×C67—21no—
482C24×C67—21no—
483#41×C67—22no—
484#41×C67—22no—
485#41×C67—22no—
486#41×C67—22no—
487#41×C67—41no—
488#41×C67—41no—
489#41×C67—41no—
490#41×C67—41no—
491#41×C67—82no—
492#41×C67—82no—
493#41×C67—82no—
494#41×C67—82no—
495C2×Q8×C67—21no—
496C2×Q8×C67—21no—
497C2×Q8×C67C2×D411yescharacteristic
498C2×Q8×C67C2411yescharacteristic
499C2×Q8×C67C2411yescharacteristic
500C2×D4×C67—22no—
501C2×D4×C67—22no—
502C2×D4×C67—21no—
503C2×D4×C67—21no—
504C2×D4×C67—21no—
505C2×D4×C67—21no—
506C2×D4×C67—21no—
507C2×D4×C67—21no—
508C2×D4×C67—21no—
509C2×D4×C67—21no—
510C2×D4×C67—21no—
511C2×D4×C67—21no—
512C2×D4×C67—21no—
513C2×D4×C67—21no—
514C2×D4×C67—21no—
515C2×D4×C67—21no—
516C2×D4×C67—21no—
517C2×D4×C67—21no—
518C2×D4×C67—21no—
519C2×D4×C67—21no—
520C2×D4×C67—21no—
521C2×D4×C67—21no—
522C2×D4×C67—21no—
523C2×D4×C67—21no—
524C2×D4×C67—21no—
525C2×D4×C67—21no—
526C2×D4×C67—41no—
527C2×D4×C67—41no—
528C2×D4×C67—82no—
529C2×D4×C67C2×D411yescharacteristic
530C2×D4×C67C2×D411yescharacteristic
531C2×D4×C67C2×D411yescharacteristic
532C2×D4×C67C2411yescharacteristic
533C2×D4×C67C2411yescharacteristic
534C2×D4×C67C2411yescharacteristic
535C2×D4×C67C2411yescharacteristic
536C2×D4×C67C2411yescharacteristic
537C2×D4×C67C2411yescharacteristic
538C22×C4×C67—21no—
539C22×C4×C67—21no—
540C22×C4×C67—21no—
541C22×C4×C67—21no—
542C22×C4×C67—21no—
543C22×C4×C67—21no—
544C22×C4×C67—21no—
545C22×C4×C67—21no—
546C22×C4×C67—21no—
547C22×C4×C67—21no—
548C22×C4×C67—21no—
549C22×C4×C67—21no—
550C22×C4×C67—21no—
551C22×C4×C67—21no—
552C22×C4×C67—21no—
553C22×C4×C67—21no—
554C22×C4×C67—21no—
555C22×C4×C67—21no—
556C22×C4×C67—21no—
557C22×C4×C67—21no—
558C22×C4×C67—21no—
559C22×C4×C67—21no—
560C22×C4×C67—82no—
561C22×C4×C67C2×D411yescharacteristic
562C22×C4×C67C2×D411yescharacteristic
563C22×C4×C67C2411yescharacteristic
564C22×C4×C67C2411yescharacteristic
565C22×C4×C67C2411yescharacteristic
566Q16×C67—22no—
567SD16×C67—22no—
568SD16×C67—22no—
569SD16×C67—22no—
570SD16×C67—41no—
571SD16×C67—41no—
572SD16×C67#4114yescomplemented
573D8×C67—22no—
574D8×C67—22no—
575D8×C67—22no—
576D8×C67—22no—
577D8×C67—22no—
578D8×C67—41no—
579D8×C67—41no—
580D8×C67—41no—
581D8×C67—41no—
582M16×C67—22no—
583M16×C67—22no—
584M16×C67—41no—
585M16×C67—41no—
586C2×C8×C67—22no—
587C2×C8×C67—41no—
588C2×C8×C67C2411yescharacteristic
589C2×C8×C67C2411yescharacteristic
590C2×C8×C67C2411yescharacteristic
591C2×C8×C67C2411yescharacteristic
592C2×C8×C67C2411yescharacteristic
593C2×C8×C67C2411yescharacteristic
594C2×C8×C67C2411yescharacteristic
595C2×C8×C67C2411yescharacteristic
596C4⋊C4×C67—21no—
597C4⋊C4×C67—21no—
598C4⋊C4×C67—21no—
599C4⋊C4×C67—21no—
600C4⋊C4×C67—21no—
601C4⋊C4×C67—21no—
602C4⋊C4×C67—21no—
603C4⋊C4×C67—21no—
604C4⋊C4×C67—21no—
605C4⋊C4×C67—21no—
606C4⋊C4×C67—21no—
607C4⋊C4×C67—21no—
608C4⋊C4×C67—21no—
609C4⋊C4×C67—21no—
610C4⋊C4×C67—21no—
611C4⋊C4×C67—21no—
612C4⋊C4×C67—21no—
613C4⋊C4×C67—21no—
614C4⋊C4×C67—21no—
615C4⋊C4×C67—21no—
616C4⋊C4×C67—21no—
617C4⋊C4×C67—21no—
618C4⋊C4×C67C2×D411yescharacteristic
619C4⋊C4×C67C2×D411yescharacteristic
620C4⋊C4×C67C2×D411yescharacteristic
621C4⋊C4×C67C2×D411yescharacteristic
622C4⋊C4×C67C2×D411yescharacteristic
623C4⋊C4×C67C2×D411yescharacteristic
624C4⋊C4×C67C2×D411yescharacteristic
625C4⋊C4×C67C2×D411yescharacteristic
626C4⋊C4×C67C2×D411yescharacteristic
627C4⋊C4×C67C2×D411yescharacteristic
628C4⋊C4×C67C2411yescharacteristic
629C4⋊C4×C67C2411yescharacteristic
630C4⋊C4×C67C2411yescharacteristic
631C4⋊C4×C67C2411yescharacteristic
632C4⋊C4×C67C2411yescharacteristic
633C4⋊C4×C67C2411yescharacteristic
634C4⋊C4×C67C2411yescharacteristic
635C4⋊C4×C67C2411yescharacteristic
636C22⋊C4×C67—21no—
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67—21no—
658C22⋊C4×C67—21no—
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67—21no—
664C22⋊C4×C67—21no—
665C22⋊C4×C67—21no—
666C22⋊C4×C67—21no—
667C22⋊C4×C67—21no—
668C22⋊C4×C67C2×D411yescharacteristic
669C22⋊C4×C67C2×D411yescharacteristic
670C22⋊C4×C67C2×D411yescharacteristic
671C22⋊C4×C67C2×D411yescharacteristic
672C22⋊C4×C67C2×D411yescharacteristic
673C22⋊C4×C67C2×D411yescharacteristic
674C22⋊C4×C67C2×D411yescharacteristic
675C22⋊C4×C67C2×D411yescharacteristic
676C22⋊C4×C67C2×D411yescharacteristic
677C22⋊C4×C67C2×D411yescharacteristic
678C42×C67—21no—
679C42×C67—21no—
680C42×C67—21no—
681C42×C67—21no—
682C42×C67—21no—
683C42×C67—21no—
684C42×C67—21no—
685C42×C67—21no—
686C42×C67C2×D411yescharacteristic
687C42×C67C2×D411yescharacteristic
688C42×C67C2411yescharacteristic
689C42×C67C2411yescharacteristic
690C42×C67C2411yescharacteristic
691C42×C67C2411yescharacteristic
692C23×C67—21no—
693C23×C67—21no—
694C23×C67—21no—
695C23×C67—21no—
696C23×C67—21no—
697C23×C67—21no—
698C23×C67—42no—
699C23×C67—42no—
700C23×C67—42no—
701C23×C67—81no—
702C23×C67—81no—
703C23×C67—81no—
704C23×C67C22×D411yescharacteristic
705C23×C67C22×D411yescharacteristic
706C23×C67C22×D411yescharacteristic
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—21no—
710Q8×C67—41no—
711Q8×C67—42no—
712Q8×C67—81no—
713Q8×C67C2×#4112yes—
714D4×C67—21no—
715D4×C67—21no—
716D4×C67—21no—
717D4×C67—21no—
718D4×C67—21no—
719D4×C67—21no—
720D4×C67—21no—
721D4×C67—21no—
722D4×C67—21no—
723D4×C67—21no—
724D4×C67—21no—
725D4×C67—41no—
726D4×C67—41no—
727D4×C67—41no—
728D4×C67—42no—
729D4×C67—42no—
730D4×C67—42no—
731D4×C67—42no—
732D4×C67—42no—
733D4×C67—42no—
734D4×C67—42no—
735D4×C67—42no—
736D4×C67—81no—
737D4×C67—81no—
738D4×C67—81no—
739D4×C67—81no—
740D4×C67—81no—
741D4×C67—81no—
742D4×C67—81no—
743D4×C67—81no—
744D4×C67—81no—
745D4×C67—81no—
746D4×C67—81no—
747D4×C67—81no—
748D4×C67—81no—
749D4×C67—81no—
750D4×C67—81no—
751D4×C67—81no—
752D4×C67C2×#4112yes—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—21no—
756C2×C4×C67—21no—
757C2×C4×C67—21no—
758C2×C4×C67—21no—
759C2×C4×C67—21no—
760C2×C4×C67—21no—
761C2×C4×C67—21no—
762C2×C4×C67—21no—
763C2×C4×C67—21no—
764C2×C4×C67—21no—
765C2×C4×C67—21no—
766C2×C4×C67—21no—
767C2×C4×C67—21no—
768C2×C4×C67—21no—
769C2×C4×C67—41no—
770C2×C4×C67—41no—
771C2×C4×C67—42no—
772C2×C4×C67—42no—
773C2×C4×C67—42no—
774C2×C4×C67—42no—
775C2×C4×C67—42no—
776C2×C4×C67—42no—
777C2×C4×C67—81no—
778C2×C4×C67—81no—
779C2×C4×C67—81no—
780C2×C4×C67—81no—
781C2×C4×C67—81no—
782C2×C4×C67—81no—
783C2×C4×C67—81no—
784C2×C4×C67—81no—
785C2×C4×C67—81no—
786C2×C4×C67—81no—
787C2×C4×C67—81no—
788C2×C4×C67—81no—
789C2×C4×C67—81no—
790C2×C4×C67—81no—
791C2×C4×C67—81no—
792C2×C4×C67—81no—
793C2×C4×C67C22×D411yescharacteristic
794C2×C4×C67C22×D411yescharacteristic
795C2×C4×C67C22×D411yescharacteristic
796C2×C4×C67C22×D411yescharacteristic
797C2×C4×C67C22×D411yescharacteristic
798C2×C4×C67C22×D411yescharacteristic
799C2×C4×C67C22×D411yescharacteristic
800C2×C4×C67C22×D411yescharacteristic
801C2×C4×C67C22×D411yescharacteristic
802C2×C4×C67C22×D411yescharacteristic
803C2×C4×C67C22×D411yescharacteristic
804C2×C4×C67C2511yescharacteristic
805C8×C67—21no—
806C8×C67—21no—
807C8×C67—21no—
808C8×C67—21no—
809C8×C67—21no—
810C8×C67—21no—
811C8×C67—21no—
812C8×C67C2×#4112yes—
813C22×C67—21no—
814C22×C67—21no—
815C22×C67—21no—
816C22×C67—21no—
817C22×C67—21no—
818C22×C67—21no—
819C22×C67—21no—
820C22×C67—21no—
821C22×C67—21no—
822C22×C67—22no—
823C22×C67—41no—
824C22×C67—41no—
825C22×C67—41no—
826C22×C67—41no—
827C22×C67—41no—
828C22×C67—41no—
829C22×C67—41no—
830C22×C67—41no—
831C22×C67—41no—
832C22×C67—41no—
833C22×C67—41no—
834C22×C67—41no—
835C22×C67—41no—
836C22×C67—41no—
837C22×C67—41no—
838C22×C67—41no—
839C22×C67—41no—
840C22×C67—84no—
841C22×C67—162no—
842C22×C67C23×D411yescharacteristic
843C4×C67—21no—
844C4×C67—21no—
845C4×C67—21no—
846C4×C67—21no—
847C4×C67—21no—
848C4×C67—21no—
849C4×C67—21no—
850C4×C67—21no—
851C4×C67—21no—
852C4×C67—21no—
853C4×C67—21no—
854C4×C67—22no—
855C4×C67—41no—
856C4×C67—41no—
857C4×C67—41no—
858C4×C67—41no—
859C4×C67—41no—
860C4×C67—41no—
861C4×C67—41no—
862C4×C67—41no—
863C4×C67—41no—
864C4×C67C22×#4111yescharacteristic
865C4×C67#58511yescharacteristic
866#61507C6711yesmaximal, characteristic, direct product factor, Sylow
867C2×C67—41no—
868C2×C67—41no—
869C2×C67—41no—
870C2×C67—42no—
871C2×C67—81no—
872C2×C67—81no—
873C2×C67—81no—
874C2×C67—81no—
875C2×C67—81no—
876C2×C67D4×#4111yescharacteristic
877C2×C67#358511yescharacteristic
878C2×C67#358511yescharacteristic
879#3517C2×C6711yescharacteristic, complemented
880#3513C2×C6711yescharacteristic, complemented
881#3399C2×C6711yescharacteristic, complemented
882#3388C2×C6711yescharacteristic, complemented
883#3371C2×C6711yescharacteristic, complemented
884#3366C2×C6711yescharacteristic, complemented
885#3351C2×C6711yescharacteristic, complemented
886#3345C2×C6711yescharacteristic, complemented
887#3345C2×C6711yescharacteristic, complemented
888#3332C2×C6711yescharacteristic, complemented
889#3322C2×C6711yescharacteristic, complemented
890#3318C2×C6711yescharacteristic, complemented
891#3317C2×C6711yescharacteristic, complemented
892#3309C2×C6711yescharacteristic, complemented
893#3306C2×C6711yescharacteristic, complemented
894#3274C2×C6711yescharacteristic, complemented
895#3268C2×C6711yescharacteristic, complemented
896#3268C2×C6711yescharacteristic, complemented
897#3179C2×C6711yescharacteristic, complemented
898#3176C2×C6711yescharacteristic, complemented
899#3171C2×C6711yescharacteristic, complemented
900#3125C2×C6711yescharacteristic, complemented
901#3122C2×C6711yescharacteristic, complemented
902#3119C2×C6711yescharacteristic, complemented
903#3119C2×C6711yescharacteristic, complemented
904#3111C2×C6711yescharacteristic, complemented
905#3109C2×C6711yescharacteristic, complemented
906#2967C2×C6711yescharacteristic, complemented
907#2952C2×C6711yescharacteristic, complemented
908#2946C2×C6711yescharacteristic, complemented
909C4×AGL(1,ℤ/8)C2×C6711yescharacteristic, complemented
910C67#6150711yescharacteristic, direct product factor, Sylow
911C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
912C2×AGL(1,ℤ/8)C22×C6711yescharacteristic
913C2×#135C22×C6711yescharacteristic
914#559C22×C6711yescharacteristic
915#557C22×C6711yescharacteristic, complemented
916#554C22×C6711yescharacteristic
917#553—21no—
918#553—21no—
919#553—21no—
920#553C22×C6711yescharacteristic
921#553C22×C6711yescharacteristic
922#553C22×C6711yescharacteristic, complemented
923#552C22×C6711yescharacteristic
924#551—21no—
925#551—21no—
926#550—21no—
927#550C22×C6711yescharacteristic
928#550C22×C6711yescharacteristic, complemented
929#550C22×C6711yescharacteristic, complemented
930#550C22×C6711yescharacteristic, complemented
931#547—21no—
932#547C22×C6711yescharacteristic
933#547C22×C6711yescharacteristic, complemented
934#546—21no—
935#546C22×C6711yescharacteristic
936#546C22×C6711yescharacteristic
937D42C22×C6711yescharacteristic
938#542C22×C6711yescharacteristic
939#540—21no—
940#540—21no—
941#540C22×C6711yescharacteristic
942#540C22×C6711yescharacteristic, complemented
943#540C22×C6711yescharacteristic, complemented
944#539—21no—
945#538—21no—
946#532—21no—
947#532C22×C6711yescharacteristic, complemented
948#529—21no—
949#529C22×C6711yescharacteristic
950#529C22×C6711yescharacteristic
951#525—21no—
952C2×#123—21no—
953#520C22×C6711yescharacteristic
954#520C22×C6711yescharacteristic, complemented
955#520C22×C6711yescharacteristic, complemented
956#518C22×C6711yescharacteristic
957C4×#41C22×C6711yescharacteristic, complemented
958C2×C4×D4C22×C6711yescharacteristic
959#501C22×C6711yescharacteristic, complemented
960#501C22×C6711yescharacteristic, complemented
961#499C22×C6711yescharacteristic, complemented
962#496C22×C6711yescharacteristic, complemented
963#496C22×C6711yescharacteristic, complemented
964#493C22×C6711yescharacteristic
965#490C22×C6711yescharacteristic
966#490C22×C6711yescharacteristic, complemented
967#490C22×C6711yescharacteristic, complemented
968#489C22×C6711yescharacteristic, complemented
969#488C22×C6711yescharacteristic, complemented
970#486C22×C6711yescharacteristic, complemented
971#485C22×C6711yescharacteristic, complemented
972#483C22×C6711yescharacteristic, complemented
973#482C22×C6711yescharacteristic
974#482C22×C6711yescharacteristic, complemented
975#482C22×C6711yescharacteristic, complemented
976#481C22×C6711yescharacteristic
977#481C22×C6711yescharacteristic, complemented
978#481C22×C6711yescharacteristic, complemented
979#481C22×C6711yescharacteristic, complemented
980#481C22×C6711yescharacteristic, complemented
981#480C22×C6711yescharacteristic, complemented
982#480C22×C6711yescharacteristic, complemented
983#479C22×C6711yescharacteristic, complemented
984#479C22×C6711yescharacteristic, complemented
985#479C22×C6711yescharacteristic, complemented
986#478C22×C6711yescharacteristic
987#478C22×C6711yescharacteristic
988#478C22×C6711yescharacteristic, complemented
989#478C22×C6711yescharacteristic, complemented
990#478C22×C6711yescharacteristic, complemented
991#476C22×C6711yescharacteristic
992#476C22×C6711yescharacteristic, complemented
993#476C22×C6711yescharacteristic, complemented
994#475C22×C6711yescharacteristic, complemented
995#469C22×C6711yescharacteristic
996#469C22×C6711yescharacteristic
997#469C22×C6711yescharacteristic
998#469C22×C6711yescharacteristic, complemented
999#469C22×C6711yescharacteristic, complemented
1000#468C22×C6711yescharacteristic, complemented
1001#468C22×C6711yescharacteristic, complemented
1002#468C22×C6711yescharacteristic, complemented
1003#466C22×C6711yescharacteristic
1004#466C22×C6711yescharacteristic, complemented
1005#466C22×C6711yescharacteristic, complemented
1006#465C22×C6711yescharacteristic, complemented
1007#464C22×C6711yescharacteristic, complemented
1008#464C22×C6711yescharacteristic, complemented
1009#463C22×C6711yescharacteristic, complemented
1010#463C22×C6711yescharacteristic, complemented
1011#460C22×C6711yescharacteristic
1012#460C22×C6711yescharacteristic, complemented
1013#459C22×C6711yescharacteristic
1014#459C22×C6711yescharacteristic
1015#459C22×C6711yescharacteristic
1016#459C22×C6711yescharacteristic
1017#459C22×C6711yescharacteristic, complemented
1018#459C22×C6711yescharacteristic, complemented
1019#452C22×C6711yescharacteristic, complemented
1020#452C22×C6711yescharacteristic, complemented
1021#449C22×C6711yescharacteristic
1022#449C22×C6711yescharacteristic
1023#449C22×C6711yescharacteristic
1024#449C22×C6711yescharacteristic
1025#449C22×C6711yescharacteristic, complemented
1026#449C22×C6711yescharacteristic, complemented
1027#447C22×C6711yescharacteristic
1028#447C22×C6711yescharacteristic
1029#447C22×C6711yescharacteristic
1030#447C22×C6711yescharacteristic
1031#446C22×C6711yescharacteristic, complemented
1032#446C22×C6711yescharacteristic, complemented
1033#442C22×C6711yescharacteristic
1034#442C22×C6711yescharacteristic
1035#442C22×C6711yescharacteristic
1036#442C22×C6711yescharacteristic
1037#442C22×C6711yescharacteristic, complemented
1038#442C22×C6711yescharacteristic, complemented
1039#442C22×C6711yescharacteristic, complemented
1040#442C22×C6711yescharacteristic, complemented
1041#442C22×C6711yescharacteristic, complemented
1042#441C22×C6711yescharacteristic, complemented
1043#441C22×C6711yescharacteristic, complemented
1044#440C22×C6711yescharacteristic
1045#440C22×C6711yescharacteristic
1046#440C22×C6711yescharacteristic, complemented
1047#440C22×C6711yescharacteristic, complemented
1048#440C22×C6711yescharacteristic, complemented
1049C4×SD16C22×C6711yescharacteristic
1050C4×SD16C22×C6711yescharacteristic
1051C4×SD16C22×C6711yescharacteristic, complemented
1052C4×SD16C22×C6711yescharacteristic, complemented
1053C4×SD16C22×C6711yescharacteristic, complemented
1054C4×SD16C22×C6711yescharacteristic, complemented
1055C4×SD16C22×C6711yescharacteristic, complemented
1056C4×D8C22×C6711yescharacteristic
1057C4×D8C22×C6711yescharacteristic
1058C4×D8C22×C6711yescharacteristic, complemented
1059C4×D8C22×C6711yescharacteristic, complemented
1060C4×D8C22×C6711yescharacteristic, complemented
1061#436C22×C6711yescharacteristic
1062#436C22×C6711yescharacteristic, complemented
1063#435C22×C6711yescharacteristic
1064#435C22×C6711yescharacteristic, complemented
1065#435C22×C6711yescharacteristic, complemented
1066#435C22×C6711yescharacteristic, complemented
1067#433C22×C6711yescharacteristic, complemented
1068#433C22×C6711yescharacteristic, complemented
1069#432C22×C6711yescharacteristic, complemented
1070#428C22×C6711yescharacteristic, complemented
1071#428C22×C6711yescharacteristic, complemented
1072C2×#106C22×C6711yescharacteristic, complemented
1073#418C22×C6711yescharacteristic
1074#417C22×C6711yescharacteristic
1075#417C22×C6711yescharacteristic, complemented
1076#417C22×C6711yescharacteristic, complemented
1077#416C22×C6711yescharacteristic, complemented
1078C2×#102C22×C6711yescharacteristic
1079#405C22×C6711yescharacteristic, complemented
1080#405C22×C6711yescharacteristic, complemented
1081C4×M16C22×C6711yescharacteristic, complemented
1082C2×#41—21no—
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41C23×C6711yescharacteristic
1087C2×#41C23×C6711yescharacteristic
1088C2×#41C23×C6711yescharacteristic
1089C2×#41C23×C6711yescharacteristic
1090C22×D4—21no—
1091C22×D4C23×C6711yescharacteristic
1092C22×D4C23×C6711yescharacteristic
1093C23×C4—21no—
1094AGL(1,ℤ/8)—24no—
1095AGL(1,ℤ/8)—24no—
1096#135—24no—
1097C2×Q16C23×C6711yescharacteristic
1098C2×SD16C23×C6711yescharacteristic
1099C2×SD16C23×C6711yescharacteristic
1100C2×SD16C23×C6711yescharacteristic
1101C2×SD16C23×C6711yescharacteristic
1102C2×SD16C23×C6711yescharacteristic
1103C2×SD16C23×C6711yescharacteristic
1104C2×D8C23×C6711yescharacteristic
1105C2×D8C23×C6711yescharacteristic
1106C2×D8C23×C6711yescharacteristic
1107C2×D8C23×C6711yescharacteristic
1108C2×D8C23×C6711yescharacteristic
1109C2×D8C23×C6711yescharacteristic
1110C2×D8C23×C6711yescharacteristic
1111C2×D8C23×C6711yescharacteristic
1112C2×D8C23×C6711yescharacteristic
1113C2×M16C23×C6711yescharacteristic
1114C2×M16C23×C6711yescharacteristic
1115C2×M16C23×C6711yescharacteristic
1116C2×M16C23×C6711yescharacteristic
1117C22×C8C23×C6711yescharacteristic
1118C22×C8C23×C6711yescharacteristic
1119C4⋊Q8—21no—
1120C4⋊Q8C23×C6711yescharacteristic
1121C4⋊Q8C23×C6711yescharacteristic
1122#127—21no—
1123#127—21no—
1124#127—21no—
1125#127C23×C6711yescharacteristic
1126#127C23×C6711yescharacteristic
1127#127C23×C6711yescharacteristic
1128#127C23×C6711yescharacteristic
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126D4×C6711yescharacteristic
1136#126D4×C6711yescharacteristic
1137#125—21no—
1138#125—21no—
1139#125—21no—
1140#125D4×C6711yescharacteristic
1141#125C23×C6711yescharacteristic
1142#125C23×C6711yescharacteristic
1143#125C23×C6711yescharacteristic
1144#125C23×C6711yescharacteristic
1145#124—21no—
1146#124—21no—
1147#124—21no—
1148#124D4×C6711yescharacteristic
1149#124C23×C6711yescharacteristic
1150#124C23×C6711yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123D4×C6711yescharacteristic
1172#123D4×C6711yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8D4×C6711yescharacteristic
1180C22⋊Q8C23×C6711yescharacteristic
1181C22⋊Q8C23×C6711yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121D4×C6711yescharacteristic
1205#121C23×C6711yescharacteristic
1206#121C23×C6711yescharacteristic
1207#121C23×C6711yescharacteristic
1208#121C23×C6711yescharacteristic
1209#121C23×C6711yescharacteristic
1210#121C23×C6711yescharacteristic
1211#121C23×C6711yescharacteristic
1212#121C23×C6711yescharacteristic
1213#121C23×C6711yescharacteristic
1214#121C23×C6711yescharacteristic
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219C4×Q8—21no—
1220C4×Q8C23×C6711yescharacteristic
1221C4×Q8C23×C6711yescharacteristic
1222C4×Q8C23×C6711yescharacteristic
1223C4×Q8C23×C6711yescharacteristic
1224C4×Q8C23×C6711yescharacteristic
1225C4×Q8C23×C6711yescharacteristic
1226C4×Q8C23×C6711yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4C23×C6711yescharacteristic
1249C4×D4C23×C6711yescharacteristic
1250C4×D4C23×C6711yescharacteristic
1251C4×D4C23×C6711yescharacteristic
1252C4×D4C23×C6711yescharacteristic
1253C4×D4C23×C6711yescharacteristic
1254C4×D4C23×C6711yescharacteristic
1255C4×D4C23×C6711yescharacteristic
1256C4×D4C23×C6711yescharacteristic
1257C4×D4C23×C6711yescharacteristic
1258C4×D4C23×C6711yescharacteristic
1259C4×D4C23×C6711yescharacteristic
1260C4×D4C23×C6711yescharacteristic
1261C4×D4C23×C6711yescharacteristic
1262C4×D4C23×C6711yescharacteristic
1263C4×D4C23×C6711yescharacteristic
1264C4×D4C23×C6711yescharacteristic
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117C23×C6711yescharacteristic
1272#117C23×C6711yescharacteristic
1273#117C23×C6711yescharacteristic
1274#117C23×C6711yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—21no—
1279C2×C4⋊C4C23×C6711yescharacteristic
1280C2×C4⋊C4C23×C6711yescharacteristic
1281C2×C4⋊C4C23×C6711yescharacteristic
1282C2×C4⋊C4C23×C6711yescharacteristic
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C42—21no—
1289C2×C42C23×C6711yescharacteristic
1290#107C23×C6711yescharacteristic
1291#107C23×C6711yescharacteristic
1292#107C23×C6711yescharacteristic
1293#107C23×C6711yescharacteristic
1294#107C23×C6711yescharacteristic
1295#107C23×C6711yescharacteristic
1296#106C23×C6711yescharacteristic
1297#106C23×C6711yescharacteristic
1298#106C23×C6711yescharacteristic
1299#106C23×C6711yescharacteristic
1300#106C23×C6711yescharacteristic
1301#106C23×C6711yescharacteristic
1302#106C23×C6711yescharacteristic
1303#106C23×C6711yescharacteristic
1304#106C23×C6711yescharacteristic
1305#106C23×C6711yescharacteristic
1306C4⋊C8C23×C6711yescharacteristic
1307C4⋊C8C23×C6711yescharacteristic
1308C4⋊C8C23×C6711yescharacteristic
1309C4⋊C8C23×C6711yescharacteristic
1310C4⋊C8C23×C6711yescharacteristic
1311C4⋊C8C23×C6711yescharacteristic
1312#103C23×C6711yescharacteristic
1313#103C23×C6711yescharacteristic
1314#103C23×C6711yescharacteristic
1315#103C23×C6711yescharacteristic
1316#103C23×C6711yescharacteristic
1317#103C23×C6711yescharacteristic
1318#103C23×C6711yescharacteristic
1319#103C23×C6711yescharacteristic
1320#102C23×C6711yescharacteristic
1321#102C23×C6711yescharacteristic
1322#102C23×C6711yescharacteristic
1323#102C23×C6711yescharacteristic
1324#102C23×C6711yescharacteristic
1325#102C23×C6711yescharacteristic
1326#102C23×C6711yescharacteristic
1327#102C23×C6711yescharacteristic
1328#102C23×C6711yescharacteristic
1329#102C23×C6711yescharacteristic
1330#102C23×C6711yescharacteristic
1331#102C23×C6711yescharacteristic
1332#102C23×C6711yescharacteristic
1333#102C23×C6711yescharacteristic
1334#102C23×C6711yescharacteristic
1335#102C23×C6711yescharacteristic
1336#102C23×C6711yescharacteristic
1337#102C23×C6711yescharacteristic
1338#102C23×C6711yescharacteristic
1339#102C23×C6711yescharacteristic
1340#102C23×C6711yescharacteristic
1341#102C23×C6711yescharacteristic
1342#102C23×C6711yescharacteristic
1343#102C23×C6711yescharacteristic
1344C22⋊C8C23×C6711yescharacteristic
1345C22⋊C8C23×C6711yescharacteristic
1346C22⋊C8C23×C6711yescharacteristic
1347C22⋊C8C23×C6711yescharacteristic
1348C22⋊C8C23×C6711yescharacteristic
1349C22⋊C8C23×C6711yescharacteristic
1350#97C23×C6711yescharacteristic
1351#97C23×C6711yescharacteristic
1352#97C23×C6711yescharacteristic
1353#97C23×C6711yescharacteristic
1354#97C23×C6711yescharacteristic
1355#97C23×C6711yescharacteristic
1356C4×C8C23×C6711yescharacteristic
1357C4×C8C23×C6711yescharacteristic
1358C4×C8C23×C6711yescharacteristic
1359C4×C8C23×C6711yescharacteristic
1360C24—21no—
1361C24—21no—
1362#41—22no—
1363#41—22no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—82no—
1371#41—82no—
1372#41—82no—
1373#41—82no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8C2×D4×C6711yescharacteristic
1377C2×Q8C24×C6711yescharacteristic
1378C2×Q8C24×C6711yescharacteristic
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—82no—
1408C2×D4C2×D4×C6711yescharacteristic
1409C2×D4C2×D4×C6711yescharacteristic
1410C2×D4C2×D4×C6711yescharacteristic
1411C2×D4C24×C6711yescharacteristic
1412C2×D4C24×C6711yescharacteristic
1413C2×D4C24×C6711yescharacteristic
1414C2×D4C24×C6711yescharacteristic
1415C2×D4C24×C6711yescharacteristic
1416C2×D4C24×C6711yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—82no—
1440C22×C4C2×D4×C6711yescharacteristic
1441C22×C4C2×D4×C6711yescharacteristic
1442C22×C4C24×C6711yescharacteristic
1443C22×C4C24×C6711yescharacteristic
1444C22×C4C24×C6711yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16#41×C6714yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—22no—
1457D8—41no—
1458D8—41no—
1459D8—41no—
1460D8—41no—
1461M16—22no—
1462M16—22no—
1463M16—41no—
1464M16—41no—
1465C2×C8—22no—
1466C2×C8—41no—
1467C2×C8C24×C6711yescharacteristic
1468C2×C8C24×C6711yescharacteristic
1469C2×C8C24×C6711yescharacteristic
1470C2×C8C24×C6711yescharacteristic
1471C2×C8C24×C6711yescharacteristic
1472C2×C8C24×C6711yescharacteristic
1473C2×C8C24×C6711yescharacteristic
1474C2×C8C24×C6711yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4C2×D4×C6711yescharacteristic
1498C4⋊C4C2×D4×C6711yescharacteristic
1499C4⋊C4C2×D4×C6711yescharacteristic
1500C4⋊C4C2×D4×C6711yescharacteristic
1501C4⋊C4C2×D4×C6711yescharacteristic
1502C4⋊C4C2×D4×C6711yescharacteristic
1503C4⋊C4C2×D4×C6711yescharacteristic
1504C4⋊C4C2×D4×C6711yescharacteristic
1505C4⋊C4C2×D4×C6711yescharacteristic
1506C4⋊C4C2×D4×C6711yescharacteristic
1507C4⋊C4C24×C6711yescharacteristic
1508C4⋊C4C24×C6711yescharacteristic
1509C4⋊C4C24×C6711yescharacteristic
1510C4⋊C4C24×C6711yescharacteristic
1511C4⋊C4C24×C6711yescharacteristic
1512C4⋊C4C24×C6711yescharacteristic
1513C4⋊C4C24×C6711yescharacteristic
1514C4⋊C4C24×C6711yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C6711yescharacteristic
1548C22⋊C4C2×D4×C6711yescharacteristic
1549C22⋊C4C2×D4×C6711yescharacteristic
1550C22⋊C4C2×D4×C6711yescharacteristic
1551C22⋊C4C2×D4×C6711yescharacteristic
1552C22⋊C4C2×D4×C6711yescharacteristic
1553C22⋊C4C2×D4×C6711yescharacteristic
1554C22⋊C4C2×D4×C6711yescharacteristic
1555C22⋊C4C2×D4×C6711yescharacteristic
1556C22⋊C4C2×D4×C6711yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42C2×D4×C6711yescharacteristic
1566C42C2×D4×C6711yescharacteristic
1567C42C24×C6711yescharacteristic
1568C42C24×C6711yescharacteristic
1569C42C24×C6711yescharacteristic
1570C42C24×C6711yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23C22×D4×C6711yescharacteristic
1584C23C22×D4×C6711yescharacteristic
1585C23C22×D4×C6711yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—41no—
1590Q8—42no—
1591Q8—81no—
1592Q8C2×#41×C6712yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—41no—
1606D4—41no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—42no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4C2×#41×C6712yes—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4C22×D4×C6711yescharacteristic
1673C2×C4C22×D4×C6711yescharacteristic
1674C2×C4C22×D4×C6711yescharacteristic
1675C2×C4C22×D4×C6711yescharacteristic
1676C2×C4C22×D4×C6711yescharacteristic
1677C2×C4C22×D4×C6711yescharacteristic
1678C2×C4C22×D4×C6711yescharacteristic
1679C2×C4C22×D4×C6711yescharacteristic
1680C2×C4C22×D4×C6711yescharacteristic
1681C2×C4C22×D4×C6711yescharacteristic
1682C2×C4C22×D4×C6711yescharacteristic
1683C2×C4C25×C6711yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8C2×#41×C6712yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—22no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—84no—
1720C22—162no—
1721C22C23×D4×C6711yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4C22×#41×C6711yescharacteristic
1744C4#585×C6711yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2D4×#41×C6711yescharacteristic
1755C2C67×#358511yescharacteristic
1756C2C67×#358511yescharacteristic
subgroupG/H
center, socleC22×C67C23×D4
commutator, Frattini, cosocleC2×C4C25×C67
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C67 ◁ #529×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#3517C2semidirect
2. C67×#3513C2semidirect
3. C67×#3399C2semidirect
4. C67×#3388C2semidirect
5. C67×#3371C2semidirect
6. C67×#3366C2semidirect
7. C67×#3351C2semidirect
8. C67×#3345C2semidirect
9. C67×#3345C2semidirect
10. C67×#3332C2semidirect
11. C67×#3322C2semidirect
12. C67×#3318C2semidirect
13. C67×#3317C2semidirect
14. C67×#3309C2semidirect
15. C67×#3306C2semidirect
16. C67×#3274C2semidirect
17. C67×#3268C2semidirect
18. C67×#3268C2semidirect
19. C67×#3179C2semidirect
20. C67×#3176C2semidirect
21. C67×#3171C2semidirect
22. C67×#3125C2semidirect
23. C67×#3122C2semidirect
24. C67×#3119C2semidirect
25. C67×#3119C2semidirect
26. C67×#3111C2semidirect
27. C67×#3109C2semidirect
28. C67×#2967C2semidirect
29. C67×#2952C2semidirect
30. C67×#2946C2semidirect
31. C4×AGL(1,ℤ/8)×C67C2semidirect
36. #557×C67C22semidirect
43. #553×C67C22semidirect
49. #550×C67C22semidirect
50. #550×C67C22semidirect
51. #550×C67C22semidirect
54. #547×C67C22semidirect
63. #540×C67C22semidirect
64. #540×C67C22semidirect
68. #532×C67C22semidirect
75. #520×C67C22semidirect
76. #520×C67C22semidirect
78. C4×#41×C67C22semidirect
80. #501×C67C22semidirect
81. #501×C67C22semidirect
82. #499×C67C22semidirect
83. #496×C67C22semidirect
84. #496×C67C22semidirect
87. #490×C67C22semidirect
88. #490×C67C22semidirect
89. #489×C67C22semidirect
90. #488×C67C22semidirect
91. #486×C67C22semidirect
92. #485×C67C22semidirect
93. #483×C67C22semidirect
95. #482×C67C22semidirect
96. #482×C67C22semidirect
98. #481×C67C22semidirect
99. #481×C67C22semidirect
100. #481×C67C22semidirect
101. #481×C67C22semidirect
102. #480×C67C22semidirect
103. #480×C67C22semidirect
104. #479×C67C22semidirect
105. #479×C67C22semidirect
106. #479×C67C22semidirect
109. #478×C67C22semidirect
110. #478×C67C22semidirect
111. #478×C67C22semidirect
113. #476×C67C22semidirect
114. #476×C67C22semidirect
115. #475×C67C22semidirect
119. #469×C67C22semidirect
120. #469×C67C22semidirect
121. #468×C67C22semidirect
122. #468×C67C22semidirect
123. #468×C67C22semidirect
125. #466×C67C22semidirect
126. #466×C67C22semidirect
127. #465×C67C22semidirect
128. #464×C67C22semidirect
129. #464×C67C22semidirect
130. #463×C67C22semidirect
131. #463×C67C22semidirect
133. #460×C67C22semidirect
138. #459×C67C22semidirect
139. #459×C67C22semidirect
140. #452×C67C22semidirect
141. #452×C67C22semidirect
146. #449×C67C22semidirect
147. #449×C67C22semidirect
152. #446×C67C22semidirect
153. #446×C67C22semidirect
158. #442×C67C22semidirect
159. #442×C67C22semidirect
160. #442×C67C22semidirect
161. #442×C67C22semidirect
162. #442×C67C22semidirect
163. #441×C67C22semidirect
164. #441×C67C22semidirect
167. #440×C67C22semidirect
168. #440×C67C22semidirect
169. #440×C67C22semidirect
172. C4×SD16×C67C22semidirect
173. C4×SD16×C67C22semidirect
174. C4×SD16×C67C22semidirect
175. C4×SD16×C67C22semidirect
176. C4×SD16×C67C22semidirect
179. C4×D8×C67C22semidirect
180. C4×D8×C67C22semidirect
181. C4×D8×C67C22semidirect
183. #436×C67C22semidirect
185. #435×C67C22semidirect
186. #435×C67C22semidirect
187. #435×C67C22semidirect
188. #433×C67C22semidirect
189. #433×C67C22semidirect
190. #432×C67C22semidirect
191. #428×C67C22semidirect
192. #428×C67C22semidirect
193. C2×#106×C67C22semidirect
196. #417×C67C22semidirect
197. #417×C67C22semidirect
198. #416×C67C22semidirect
200. #405×C67C22semidirect
201. #405×C67C22semidirect
202. C4×M16×C67C22semidirect
572. SD16×C67#41semidirect
866. #61507C67direct (N × H)
879. #3517C2×C67semidirect
880. #3513C2×C67semidirect
881. #3399C2×C67semidirect
882. #3388C2×C67semidirect
883. #3371C2×C67semidirect
884. #3366C2×C67semidirect
885. #3351C2×C67semidirect
886. #3345C2×C67semidirect
887. #3345C2×C67semidirect
888. #3332C2×C67semidirect
889. #3322C2×C67semidirect
890. #3318C2×C67semidirect
891. #3317C2×C67semidirect
892. #3309C2×C67semidirect
893. #3306C2×C67semidirect
894. #3274C2×C67semidirect
895. #3268C2×C67semidirect
896. #3268C2×C67semidirect
897. #3179C2×C67semidirect
898. #3176C2×C67semidirect
899. #3171C2×C67semidirect
900. #3125C2×C67semidirect
901. #3122C2×C67semidirect
902. #3119C2×C67semidirect
903. #3119C2×C67semidirect
904. #3111C2×C67semidirect
905. #3109C2×C67semidirect
906. #2967C2×C67semidirect
907. #2952C2×C67semidirect
908. #2946C2×C67semidirect
909. C4×AGL(1,ℤ/8)C2×C67semidirect
910. C67#61507direct (N × H)
915. #557C22×C67semidirect
922. #553C22×C67semidirect
928. #550C22×C67semidirect
929. #550C22×C67semidirect
930. #550C22×C67semidirect
933. #547C22×C67semidirect
942. #540C22×C67semidirect
943. #540C22×C67semidirect
947. #532C22×C67semidirect
954. #520C22×C67semidirect
955. #520C22×C67semidirect
957. C4×#41C22×C67semidirect
959. #501C22×C67semidirect
960. #501C22×C67semidirect
961. #499C22×C67semidirect
962. #496C22×C67semidirect
963. #496C22×C67semidirect
966. #490C22×C67semidirect
967. #490C22×C67semidirect
968. #489C22×C67semidirect
969. #488C22×C67semidirect
970. #486C22×C67semidirect
971. #485C22×C67semidirect
972. #483C22×C67semidirect
974. #482C22×C67semidirect
975. #482C22×C67semidirect
977. #481C22×C67semidirect
978. #481C22×C67semidirect
979. #481C22×C67semidirect
980. #481C22×C67semidirect
981. #480C22×C67semidirect
982. #480C22×C67semidirect
983. #479C22×C67semidirect
984. #479C22×C67semidirect
985. #479C22×C67semidirect
988. #478C22×C67semidirect
989. #478C22×C67semidirect
990. #478C22×C67semidirect
992. #476C22×C67semidirect
993. #476C22×C67semidirect
994. #475C22×C67semidirect
998. #469C22×C67semidirect
999. #469C22×C67semidirect
1000. #468C22×C67semidirect
1001. #468C22×C67semidirect
1002. #468C22×C67semidirect
1004. #466C22×C67semidirect
1005. #466C22×C67semidirect
1006. #465C22×C67semidirect
1007. #464C22×C67semidirect
1008. #464C22×C67semidirect
1009. #463C22×C67semidirect
1010. #463C22×C67semidirect
1012. #460C22×C67semidirect
1017. #459C22×C67semidirect
1018. #459C22×C67semidirect
1019. #452C22×C67semidirect
1020. #452C22×C67semidirect
1025. #449C22×C67semidirect
1026. #449C22×C67semidirect
1031. #446C22×C67semidirect
1032. #446C22×C67semidirect
1037. #442C22×C67semidirect
1038. #442C22×C67semidirect
1039. #442C22×C67semidirect
1040. #442C22×C67semidirect
1041. #442C22×C67semidirect
1042. #441C22×C67semidirect
1043. #441C22×C67semidirect
1046. #440C22×C67semidirect
1047. #440C22×C67semidirect
1048. #440C22×C67semidirect
1051. C4×SD16C22×C67semidirect
1052. C4×SD16C22×C67semidirect
1053. C4×SD16C22×C67semidirect
1054. C4×SD16C22×C67semidirect
1055. C4×SD16C22×C67semidirect
1058. C4×D8C22×C67semidirect
1059. C4×D8C22×C67semidirect
1060. C4×D8C22×C67semidirect
1062. #436C22×C67semidirect
1064. #435C22×C67semidirect
1065. #435C22×C67semidirect
1066. #435C22×C67semidirect
1067. #433C22×C67semidirect
1068. #433C22×C67semidirect
1069. #432C22×C67semidirect
1070. #428C22×C67semidirect
1071. #428C22×C67semidirect
1072. C2×#106C22×C67semidirect
1075. #417C22×C67semidirect
1076. #417C22×C67semidirect
1077. #416C22×C67semidirect
1079. #405C22×C67semidirect
1080. #405C22×C67semidirect
1081. C4×M16C22×C67semidirect
1451. SD16#41×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#35172
C67×#35132
C67×#33992
C67×#33882
C67×#33712
C67×#33662
C67×#33512
C67×#33452
C67×#33322
C67×#33222
C67×#33182
C67×#33172
C67×#33092
C67×#33062
C67×#32742
C67×#32682
C67×#31792
C67×#31762
C67×#31712
C67×#31252
C67×#31222
C67×#31192
C67×#31112
C67×#31092
C67×#29672
C67×#29522
C67×#29462
C4×AGL(1,ℤ/8)×C672
#6150767